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. 2022 Dec 9;17(12):e0278841. doi: 10.1371/journal.pone.0278841

Assessing the dimensionality of scores derived from the Revised Formal Thought Disorder Self-Report Scale in schizotypy

Philip J Sumner 1,*, Denny Meyer 1, Sean P Carruthers 1, Fakir M Amirul Islam 2, Susan L Rossell 1,3
Editor: Marco Innamorati4
PMCID: PMC9733900  PMID: 36490258

Abstract

The current work explored the dimensionality and convergent validity of responses to Barrera et al.’s (2015) 29-item Formal Thought Disorder–Self Scale (FTD-SS) obtained in two non-clinical samples. Exploratory factor analyses were conducted in Sample 1 (n = 324), yielding evidence of three correlated factors, although simple structure was not achieved until nine items were removed. Support for the correlated three factors model of responses to the revised 20-item scale (FTD-SS-R) was replicated when a confirmatory factor analysis was conducted in Sample 2 (n = 610). Finally, convergent associations were found between FTD-SS-R scores and scores from other schizotypy measures across both samples, though these measures only explained half of the variance in FTD-SS-R scores. Additional research is needed to evaluate the appropriateness of the items and incremental validity of the scale in non-clinical samples.

Introduction

Schizotypy is a complex concept that links the variation in non-clinical behaviours and psychological experiences with the development of schizophrenia and schizophrenia-related disorders. As such, the concept incorporates dimensional and quasi-dimensional models of psychopathology with trait theories of personality [16]. The behaviours and experiences of schizotypy resemble the signs and symptoms of schizophrenia, only they tend to be less distressing than clinical symptoms and interfere less with the person’s ability to function in daily life (e.g. [79]). Hence, these phenomena can occur in people who are not considered to have any psychiatric illness [5]. The relatively consistent occurrence of schizotypal behaviours and experiences in a person over time is described as a schizotypal personality [1], a typology that is often thought to reflect the maladaptive expression of one or more personality traits from the general population [2, 1015]. Yet, schizotypal phenomena are also thought to share at least some of the same aetiologies as the signs and symptoms of schizophrenia [35, 16], and have been mapped according to the clinical syndromes of schizophrenia [1, 6, 13, 14, 1720]. Thus, schizotypy is often considered to convey a predisposition for psychosis and is sometimes represented as a precursory or intermediary stage in its pathogenesis (e.g. [3, 5]).

One of the more under-researched aspects of schizotypy is the presence of disorganised or constrained thought and speech. When clinically relevant, these phenomena are usually referred to collectively as ‘thought disorder’, ‘formal thought disorder’ or ‘speech disorder’, amongst various other names [2123]. Such terms refer to the improper sequencing and expression of thought, which is evidenced through speech that seems odd or is difficult to understand. Moreover, speech that is unexpected, inappropriate or bizarre without diminishment in productivity or fluency (i.e. positive thought disorder) is often distinguished from underproductive or dysfluent speech (i.e. negative thought disorder). The severity of thought disorder reflects both frequency of occurrence and the extent to which communication is impaired, with severe thought disorder typically being associated with acute manic and psychotic states [24, 25]. In the context of schizotypy, milder manifestations of these phenomena are occasionally referred to as ‘cognitive slippage’ [2630], though this term originally incorporated delusions and hallucinations in addition to disorganised and constrained thought and speech ([3]; see [31], p. 17). The term ‘disorganized or constrained thought and speech’ (DCTS) is used here to refer to these phenomena over the entire continuum, without connoting the presence of illness or impairment in the general population.

Despite relatively scant scientific interest, DCTS might be especially amenable to schizotypy research because it displays some trait characteristics. Firstly, prevalence and severity data strongly support the existence of a DCTS continuum that spans numerous psychiatric diagnoses and includes people without mental health disorders (e.g. [32, 33], see [24]). This dimensionality is incorporated into the operationalised definitions of severity used in many clinician-based rating scales, where the mildest detectable manifestations are defined either as non-pathological or as a questionable indication of impairment (e.g. [3439], see [40]). Secondly, DCTS demonstrates co-familiality [32, 33]. That is, instances of DCTS tend to be more common amongst the unaffected first-degree relatives of people with schizophrenia compared to people without a family history of schizophrenia (e.g. [34, 35]). Finally, although severe state-based DCTS is often seen in acute psychotic or manic episodes [24, 25], residual signs can persist in some people despite treatment (e.g. [3638]).

Researchers aiming to address this gap in the literature might consider using measures designed specifically for the assessment of DCTS. Most general schizotypy measures tend to devote only a few items to the assessment of disorganized speech, producing either single summary scores (e.g. [39]) or disorganization scores that conflate aspects of positive thought disorder with eccentric non-verbal behaviour, inattentiveness, social anxiety and other schizotypal phenomena (e.g. [40]). This is potentially problematic because DCTS is itself considered to be multidimensional, at least in clinical samples [4152]. Accordingly, clinical measurement systems that have been designed purposefully to capture the various distinct manifestations of thought disorder tend to be more sensitive than global measures [53]. Yet, despite increased measurement sensitivity being particularly important for capturing the subtle variations in DCTS that are likely to characterize schizotypy, these measurement systems are mostly observer-rated, which can be time-consuming and require specialized training to administer [38], precluding their use in many research contexts.

Another potential way of assessing DCTS is to use self-report questionnaires. Questionnaires have the advantage of being quick and easy to administer, and so can be disseminated across relatively large samples. Questionnaires also rely upon a first-person perspective to capture introspected DCTS, producing measurements that presumably reflect some combination of phenomenological awareness and objective severity [54]. This represents an important justification for subjective measures of DCTS, including subjective interview-based measures (e.g. [46]) and self-report questionnaires, since they can serve to impose additional constraints upon the testing of some hypotheses when used in combination with more objective measures, and thus provide a complementary avenue for research [46, 54, 55].

To date, three self-report questionnaires have been developed that are dedicated to the assessment of DCTS: the Cognitive Slippage Scale (CSS, [26]), the Communication Awareness Scale (CAS, [54]), and the Formal Thought Disorder–Self-Report Scale (FTD-SS, [56]). However, there is only preliminary psychometric evidence to support their use. Responses on all three questionnaires have demonstrated reliability in non-clinical samples (CSS: [13, 28, 29, 61], CAS: [58], FTD-SS: [60, 62]). Moreover, the scale scores produced from these responses appear to conform to the continuum model of psychopathology. For instance, self-report DCTS scores tend to be elevated amongst people with schizophrenia-related diagnoses compared to non-clinical samples (CSS: [57], FTD-SS: [58]), and amongst the first-degree relatives of people with schizophrenia compared to the first-degree relatives of people with non-psychotic psychiatric disorders (CSS: [30]). CSS scores obtained by children may also predict the level of schizotypy that they express in adulthood, as well as their likelihood of developing schizophrenia [27]. Finally, convergence has been demonstrated between scores from these questionnaires and responses on other schizotypy measures (CSS: [13, 28, 63], FTD-SS: [62]), with stronger associations found for more closely related aspects of schizotypy [13, 58], as well as between self-report DCTS scores and measures of executive cognitive functions (CSS: [13, 27], CAS: [58], FTD-SS: [62]).

Although promising, many of these psychometric findings need to be replicated and extended upon. In particular, it remains to be seen whether or not the multidimensionality of DCTS is adequately represented in the responses to these questionnaires. Several studies have included CSS total scores within a battery of schizotypy measures and used dimension-reduction analyses to explore any underlying latent variables [28, 29, 59]. However, by limiting the analyses to total scores, these studies overlooked the potential multidimensionality contained within the construct of DCTS itself. Only one study has explored the dimensionality of item-responses from a non-clinical sample using a self-report measure of DCTS; this study conducted a principal components analysis on FTD-SS responses and revealed evidence of three inter-related dimensions ([56], see Fig 2) indicative of a ‘correlated traits model’ [60]. The three dimensions, which were labelled ‘odd speech’, ‘conversational ability’ and ‘working memory deficit’ [56], upheld the common distinction between positive and negative thought disorder, and seemed to align conceptually with some factor solutions derived from clinician-rated scales in clinical samples (e.g. [50]).

Fig 2. A diagrammatic representation of the correlated three factors model of FTD-SS item-responses that was reported by Barrera et al.

Fig 2

[56] and tested using a confirmatory factor analysis in Sample 2, where the variation in all 29 item-responses is explained by three correlated factors (i.e. Barrera et al.’s 29-item correlated three factors model).

If the FTD-SS is able to capture some of the multidimensionality of DCTS, then it could potentially be a more sensitive measure of DCTS than the general schizotypy questionnaires that are more commonly used. Therefore, the aim of the current work was to further investigate the construct validity of scores derived from the FTD-SS in non-clinical samples. In particular, exploratory factor analyses were applied to a sample of FTD-SS responses collected from university students to evaluate the underlying unidimensionality or multidimensionality. The replicability of the results of these exploratory analyses were subsequently tested in a second non-clinical sample using confirmatory factor analysis techniques. Finally, the convergence of FTD-SS scores with scores derived from other schizotypy measures was assessed, as well as the influence of demographic variables on FTD-SS scores.

Method

Participants

Two samples were collected in the current study. Participants in Sample 1 were students recruited through the Research Experience Programme (REP) at Swinburne University of Technology, and were awarded course credit for their participation. Participants in Sample 2 also included students that were recruited via REP. However, to increase the representativeness of the second sample, participants were additionally recruited through Prolific [61], a crowdsourcing platform designed to connect participants with research studies, and friends, family and close colleagues were invited to participate using a snowballing recruitment strategy. Participants recruited through Prolific were financially reimbursed the AUD equivalent of £5 (GBP). All participants were screened based on their self-reported responses to three inclusion criteria. Participants had to be: 1) at least 18 years old; 2) current residents of Australia; and 3) free from any current diagnosed mental health disorders.

Materials

Barrera et al.’s [56] Formal Thought Disorder–Self-Report Scale (FTD-SS) is a 29-item questionnaire that was designed to assess various difficulties with communication, including pragmatics, lexical selection and syntax, memory and attention during conversation, paralinguistic and non-verbal communication, and other signs of thought disorder [42]. Each item describes a specific communicative difficulty, with responses being made according to a four-point ordinal scale in terms of frequency of occurrence (ranging from 1 - “almost never” to 4 - “almost always”). Scores represent the sum of item responses, with higher scores indicating more frequent communication difficulties. Barrera et al. [56] reported coefficient alphas of 0.93 and 0.86 for total summed scores in two non-clinical samples. They also reported evidence of three inter-related dimensions, two consisting of seven items each (conversational ability: α = 0.87; working memory deficit: α = 0.82) and one consisting of 15 items (odd speech: α = 0.88).

The Schizotypal Personality Questionnaire (SPQ) is a measure of schizotypy that was modelled on the DSM-III diagnostic criteria for schizotypyal personality disorder [39]. It contains 74 items that contribute to an overall total score and nine subscale scores, with the nine-item Odd Speech subscale specifically capturing disorganized (but not impoverished) thought and speech. Items depict schizotypal experiences, which are endorsed using a dichotomous response format (i.e. “yes” or “no”), with higher scores indicating greater levels of schizotypy. Evidence of internal consistency was found in the current sample (total scores: α = 0.97; subscale scores: 0.87 ≤ α ≤ 0.92).

The Oxford-Liverpool Inventory of Feelings and Experiences (O-LIFE, [62]) was designed to comprehensively assess schizotypy, representing the culmination of numerous preceding personality- and symptom-based measures. It contains 104 items that contribute to four scales, with the 24-item Cognitive Disorganization scale encompassing elements of disorganized (but not impoverished) thought and speech, in addition to poor attention, concentration and decision-making, and social anxiety [40]. Items depict schizotypal experiences and elicit dichotomous responses (i.e. “yes” or “no”) based on their endorsement by the respondent, with higher scores indicating greater levels of schizotypy. In the current sample, internal consistency was demonstrated for all four scales (cognitive disorganization scores: α = 0.94; unusual experiences scores: α = 0.95; introvertive anhedonia scores: α = 0.90; impulsive non-conformity: α = 0.79).

Finally, forty-eight items from the International Personality Item-Pool (IPIP, [63]) were used to assess neuroticism and extraversion. These items comprise part of a larger five-factor measure of personality [64]. The two personality domains each span six facets, with each facet consisting of four items. However, only the summed domain scores for neuroticism and extraversion were calculated for this study. The items represent personal descriptors and are endorsed according to a five-point Likert-type scale (1 = “very inaccurate”, 2 = “moderately inaccurate”, 3 = neither accurate nor inaccurate”, 4 = “moderately accurate”, and 5 = “very accurate”), with higher scores denoting a greater level of trait expression. Internal reliability was demonstrated in the current sample (neuroticism total scores: α = 0.91; extraversion total scores: α = 0.90).

Procedure

The measures were presented as part of a larger online survey. The FTD-SS was always presented after demographic questions, but the remaining schizotypy measures were presented after the FTD-SS in a randomized order. For Sample 1, the items of the FTD-SS were administered in the same prescribed order as reported by Barrera et al. [56]. For Sample 2, the order in which the FTD-SS items were presented was randomized. Participation in the survey was entirely anonymous, with implied consent being obtained. The study protocol was approved by the Swinburne Human Research Ethics Committee (2019/154).

Analysis

Three groups of analyses were conducted: exploratory dimension-reduction analyses of responses to the FTD-SS obtained in Sample 1, a confirmatory factor analysis of responses to the FTD-SS obtained in Sample 2, and regression analyses between FTD-SS scores and scores derived from the other measures of schizotypy across both samples.

The exploratory dimension-reduction analyses conducted in Sample 1 involved an initial exploratory factor analysis, followed by an exploratory bifactor analysis and Rasch analysis. The results of these analyses then guided the exclusion of FTD-SS items from subsequent exploratory factor analyses until an adequate solution was found. The initial exploratory factor analysis was implemented in FACTOR (version 10.10.01, [65]). Since the data was ordinal, the analysis procedure based on polychoric correlations that was outlined by Baglin [66] was used as a starting point. Firstly, a parallel analysis based on minimum rank factor analysis was performed on bootstrapped polychoric correlation matrices with 1000 permutations, using the 95% quantile criterion threshold to determine the number of factors to extract [67]. The extracted factors were then rotated using the promin method of oblique rotation [68].

Rather than observed item responses loading neatly onto distinct factors, bifactor models represent observed responses to each item as a latent combination of the influences of a general factor and a group factor. Thus, bifactor models are used to help evaluate the plausibility of overall scores (i.e. unidimensionality) and subscale scores (i.e. multidimensionality, [69]). The follow-up exploratory bifactor analysis was also conducted using FACTOR, with a robust unweighted least squares (ULS) method of extraction and a promin rotation [70]. Confidence intervals for estimated parameters were calculated using the bias-corrected and accelerated percentile method based on a bootstrapped distribution of 1000 samples.

The Rasch analysis was conducted using the RUMM2030+ package [71] to further test the assumption of unidimensionality in the FTD-SS responses in Sample 1. Chi-square item-trait interaction statistics were calculated to define the overall fit of the unidimensional model for the FTD-SS, where a non-significant chi-square probability value indicates that the hierarchical ordering of the FTD-SS items is consistent across all levels of the underlying trait (see [72]). Additional evidence of unidimensionality was investigated using a principal components analysis/t-test protocol. A principle components analysis was conducted on the residuals produced from Rasch measurement model predictions, with varimax rotation. Item residual loadings were used to identify two potential dimensions, from which two sets of person measures were derived. A series of t-tests were then conducted for each pair of person measures to assess their equivalency. Evidence of unidimensionality is found when less than 5% of the t-tests are significant, or if the lower bound of the binomial 95% confidence interval overlaps 5%.

Confirmatory factor analyses were conducted on FTD-SS responses in Sample 2 using the “lavaan” package (version 0.6–6, [73]) in R (version 3.6.3, [74]). The models that were tested were derived from the results of the exploratory analyses in Sample 1. Robust ULS estimation (mean and variance adjusted) based on polychoric correlations was used to maintain consistency with the exploratory analyses. Ordinal coefficient alphas (α) were calculated to estimate test consistency in both samples using the “psych” package (version 1.9.11, [75]) in R [74].

Finally, convergent validity of responses on the FTD-SS were investigated using multiple regression analyses. In particular, two multiple regression analyses were conducted to determine which scores from the four O-LIFE scales (Regression Model 1) and nine SPQ subscales (Regression Model 2) were the most important predictors of FTD-SS total scores, as well as whether these relationships were independent of IPIP Extraversion and Neuroticism. The influence of demographic variables on the FTD-SS total scores was also investigated using a series of one-way between-subjects analyses of variance (ANOVAs), with follow-up pairwise comparisons conducted using Tukey’s Honestly Significant Difference (HSD) post-hoc tests (for variables with more than two levels). Welch’s ANOVAs and Games-Howell post-hoc tests were used instead for variables showing evidence of unequal variances. Effect sizes were estimated using omega squared (ω2) for each main effect and Hedge’s gs for significant pairwise comparisons. The influence of age was investigated using a Pearson’s product-moment correlation.

The ANOVAs and Tukey’s HSD post-hoc tests were performed using the base “stats” package in R [74]. Welch’s ANOVAs and Games-Howell post-hoc tests were conducted using the “rstatix” package (version 0.7.0, [76]). The calculation of effect sizes was performed using the “effectsize” package (version 0.4.4, [77]). All bivariate and partial correlation analyses were performed using the “psych” package [75].

Results

Sample 1 consisted of a total of 348 survey responses that were collected from 11/07/2019 to 20/11/2019. Of these, 23 did not meet inclusion criteria. An additional response was identified as a duplicate (i.e. one person completed the survey twice). Thus, the final sample size was 324. Sample 2 consisted of a total of 642 survey responses that were collected from 21/08/2019 to 24/06/2020. Of these, 23 did not meet inclusion criteria, two did not complete the FTD-SS, and seven were identified as duplicates. Thus, the final size of Sample 2 was 610, with 366 participants recruited via REP, 226 participants recruited via Prolific and 18 participants recruited via snowballing. Descriptive statistics pertaining to demographics, FTD-SS and schizotypy scale scores for both samples were included in Table 1.

Table 1. Descriptive statistics for demographic variables and survey measures across both samples.

Sample 1 (n = 324) Sample 2 (n = 610) Between-Group Comparison
Age (years)a 30.63 (10.70, 18–61) 31.27 (10.60, 18–71) W = 94140, p = 0.26
Gender
    Male (%) 26.54 34.59 χ2(1) = 5.95, p = 0.01
    Female (%) 72.84 65.08 χ2(1) = 5.48, p = 0.02
    Non-binary (%) 0.62 0.33 OR = 1.89, p = 0.61
    Missing (%) 0.00 0.00 n/a
Country of Birth
    Australia (%) 81.79 72.95 χ2(1) = 8.59, p = 0.003
    Other (%) 17.90 26.89 χ2(1) = 8.94, p = 0.003
    Missing (%) 0.31 0.16 OR = 1.88, p = 1.00
Highest Level of Completed Education
    Primary School (%) 0.62 0.98 OR = 0.63, p = 0.72
    Secondary School (%) 38.58 28.20 χ2(1) = 10.05, p = 0.002
    Technical or vocational training (%) 38.89 31.80 χ2(1) = 4.41, p = 0.04
    Undergraduate university degree (%) 17.90 27.70 χ2(1) = 10.53, p = 0.001
    Postgraduate university degree (%) 4.01 11.31 χ2(1) = 13.18, p < 0.001
    Missing (%) 0.00 0.00 n/a
Student Status
    Full-time (%) 56.17 39.01 χ2(1) = 24.48, p < 0.001
    Part-time (%) 43.83 35.08 χ2(1) = 6.50, p = 0.01
    Not a student (%) 0.00 25.90 OR = 0.00, p < 0.001
    Missing (%) 0.00 0.00 n/a
Employment Statusb
    Unemployed (%) 14.51 18.69 χ2(1) = 2.00, p = 0.16
    Casual or part-time (%) 38.89 35.74 χ2(1) = 1.27, p = 0.26
    Full-time (%) 34.26 35.25 χ2(1) = 0.01, p = 0.92
    Retired, self-employed or other (%) 16.05 14.92 χ2(1) = 0.00, p = 1.00
    Missing (%) 0.31 0.00 n/a
Past Mental Health Diagnosis
    Yes (%) 16.98 13.61 χ2(1) = 1.65, p = 0.20
    No (%) 83.02 86.39 χ2(1) = 1.65, p = 0.20
    Missing (%) 0.00 0.00 n/a
Immediate Family Member with a Schizophrenia-Related Disorder
    Yes (%) 5.56 6.23 χ2(1) = 0.07, p = 0.79
    No (%) 87.96 87.87 χ2(1) = 0.00, p = 1.00
    Unsure (%) 6.48 5.90 χ2(1) = 0.04, p = 0.83
    Missing (%) 0.00 0.00 n/a
FTD-SS Scores
    Total (29 Items)a 43.85 (10.76, 29–86) 44.57 (10.97, 29–86) W = 94509, p = 0.27
    Missing (%) 0.00 0.00 n/a
O-LIFE Scores
    Cognitive Disorganizationa 10.77 (6.23, 0–24) 10.34 (6.29, 0–24) W = 101012, p = 0.31
    Unusual Experiencesa 7.58 (6.65, 0–29) 6.41 (5.82, 0–27) W = 105803, p = 0.02
    Impulsive Nonconformitya 7.57 (3.79, 0–19) 6.84 (3.41, 0–18) W = 107743, p = 0.006
    Introvertive Anhedoniaa 7.33 (4.78, 0–23) 7.72 (4.89, 0–23) W = 92657, p = 0.25
    Missing (%) 0.93 0.82 OR = 1.15, p = 1.00
SPQ Scores
    Totala 21.30 (13.98, 0–66) 21.72 (13.71, 0–64) W = 95951, p = 0.65
    Ideas of Referencea 2.64 (2.51, 0–9) 2.50 (2.40, 0–9) W = 100443, p = 0.48
    Excessive Social Anxietya 3.86 (2.76, 0–8) 3.96 (2.63, 0–8) W = 95500, p = 0.56
    Odd Beliefs or Magical Thinkinga 1.46 (1.71, 0–7) 1.26 (1.62, 0–7) W = 103977, p = 0.09
    Unusual Perceptual Experiencesa 1.75 (2.03, 0–8) 1.69 (1.86, 0–9) W = 97126, p = 0.87
    Odd or Eccentric Behavioura 1.73 (2.05, 0–7) 1.80 (2.11, 0–7) W = 96600, p = 0.76
    No Close Friendsa 2.71 (2.53, 0–9) 3.22 (2.67, 0–9) W = 86927, p = 0.005
    Odd Speecha 2.66 (2.24, 0–9) 2.61 (2.36, 0–9) W = 100259, p = 0.51
    Constricted Affecta 2.05 (1.86, 0–8) 2.20 (2.00, 0–8) W = 94663, p = 0.42
    Suspiciousnessa 2.44 (2.27, 0–8) 2.48 (2.26, 0–8) W = 92698, p = 0.71
    Missing (%) 0.62 0.49 OR = 1.28, p = 1.00
IPIP Scores
    Neuroticisma 66.13 (15.11, 28–105) 66.19 (15.21, 30–106) W = 97850, p = 0.94
    Extraversiona 75.94 (12.64, 40–106) 74.40 (13.11, 35–107) W = 103359, p = 0.14
    Missing (%) 0.62 0.66 OR = 0.94, p = 1.00

Note. Two-sample z-tests were performed to compare sample proportions, with Fisher’s exact test used with counts < 5. Age and scale scores were compared using the Wilcoxon rank sum test because some distributions were skewed. All comparisons were two-tailed without correction for multiple comparisons.

a Mean (SD, range).

b Participants could select more than one response. Participants who selected more than one response (Sample 1: n = 14, Sample 2: n = 28; χ2[1] = 0.00, p = 0.98) were excluded from between-groups comparisons.

Abbreviations: FTD-SS–Formal Thought Disorder–Self Scale; IPIP–International Personality Item Pool; O-LIFE–Oxford-Liverpool Inventory of Feelings and Experiences; SPQ–Schizotypal Personality Questionnaire

No differences in age, employment status, past mental health diagnoses and family histories of schizophrenia-related disorders were found between Sample 1 and Sample 2 (see Table 1). However, differences were found in reported gender, student status, highest level of completed education and country of birth. These demographic differences were mostly attributable to the additional avenues used to recruit Sample 2. Nevertheless, a higher proportion of males and full-time students were recruited from REP in Sample 1 compared to those recruited from REP in Sample 2 (data not shown).

Exploratory dimension reduction analyses

Responses to the FTD-SS items in Sample 1 were positively skewed. In particular, the third and fourth response categories had low rates of endorsement across all 29 items (ranging between 2.8% and 11.4% for the third category and between 0.3% and 3.4% for the fourth category). The modal response category was 2 for six of the items and 1 for the remaining 23 items. The items with the lowest response variances were 7, 22 and 25, where ~80% of the sample endorsed the first response category. Mardia’s tests of multivariate normality showed a significant deviation in kurtosis (p < 0.001) but not skewness (p = 1.00). Means, standard deviations, and skewness and kurtosis statistics for the sampled item responses are presented in Table 2.

Table 2. Descriptive statistics for item responses on the FTD-SS in Sample 1, as well as communalities, estimated factor loadings and inter-factor correlations for the final 20-item three-factor solution.

Item M SD Skew. Kurt. Comm. F1 F2 F3
1 1.74 0.65 0.39 -0.41 0.72 0.92 -0.17 -0.01
2 1.76 0.65 0.49 0.20 0.61 0.82 -0.18 0.05
3 1.60 0.63 0.64 -0.18 0.65 0.83 -0.05 -0.00
4 1.76 0.71 0.65 0.12 0.49 0.75 0.10 -0.18
5 1.79 0.63 0.43 0.35 0.46 0.69 0.02 -0.03
6 1.45 0.67 1.51 2.08 0.53 0.61 0.21 -0.01
7 1.21 0.51 2.60 6.45
8 1.41 0.63 1.50 2.01 0.57 0.24 0.59 0.04
9 1.76 0.76 0.85 0.45 0.64 -0.04 0.87 -0.13
10 1.66 0.75 1.00 0.57 0.79 0.02 0.97 -0.18
11 1.68 0.83 1.15 0.76 0.53 0.10 0.56 0.17
12 1.62 0.80 1.22 0.95 0.49 0.22 0.12 0.46
13 1.45 0.69 1.51 1.80 0.50 0.23 -0.01 0.54
14 1.27 0.58 2.45 6.26
15 1.30 0.58 2.06 4.42 0.56 -0.33 0.14 0.82
16 1.39 0.65 1.75 3.01 0.67 0.02 0.08 0.76
17 1.43 0.64 1.44 1.75 0.34 -0.18 -0.16 0.74
18 1.50 0.68 1.33 1.52 0.53 0.08 -0.01 0.69
19 1.31 0.55 1.84 3.55 0.46 -0.14 0.06 0.72
20 1.55 0.68 1.14 1.12 0.44 -0.03 0.47 0.30
21 1.57 0.71 1.06 0.56
22 1.25 0.51 2.07 4.19
23 1.56 0.77 1.32 1.14 0.42 0.10 -0.12 0.64
24 1.57 0.69 1.05 0.66
25 1.25 0.51 2.12 0.44
26 1.71 0.73 0.85 0.51
27 1.37 0.65 1.85 3.26 0.53 0.24 -0.07 0.59
28 1.50 0.66 1.18 0.98
29 1.47 0.74 1.73 2.69
Inter-Factor Correlations
F1 -
F2 0.46 -
F3 0.62 0.56 -

Note. Factor loadings > 0.30 are presented in bold. Communalities and factor loadings are omitted for nine FTD-SS items that were excluded from the exploratory factor analysis based on weak factor loadings in the bifactor model (see Table A in S1 File). Factor labels: F1—Difficulty with Maintaining the Topic of Conversation; F2—Difficulty with Initiating and Sustaining Speech; F3—Odd Speech.

The Kaiser-Meyer-Olkin (KMO) index of sampling adequacy was 0.77 (CI95% [0.630, 0.770]) and Bartlett’s test of sphericity was significant (χ2[406] = 3597.80, p < 0.001), suggesting that the inter-item polychoric correlation matrix produced from the sampled data was suitable for factor analysis. The parallel analysis indicated the presence of three factors, which cumulatively explained 56.39% of the variance in the initial correlation matrix and 60.75% of the variance in the reduced correlation matrix. However, despite the inter-item polychoric correlation matrix being positive definite, the factor solution was inadmissible, with communalities of 1.00 for six items (i.e. Heywood cases; items 1, 15, 16, 23, 24 and 29). Item communalities improved when the factor analysis was repeated with the use of the ULS method of estimation, resulting in a solution with three highly correlated factors (r ≥ 0.56). However, simple structure was still not achieved, with cross-loadings above 0.30 for eight items. Moreover, three items (items 1, 9 and 10) demonstrated rotated factor loadings that exceeded 1.00, although this can occur with oblique rotation when the factors are strongly correlated with one another [78].

The exploratory bifactor analysis [70] was then conducted with three group factors to evaluate the plausibility of a multidimensional model of the FTD-SS responses [69]. ULS was chosen as the method of estimation for the bifactor analysis because it produced more appropriate communalities, although the pattern of factor loadings was similar when minimum rank estimation was performed instead. The results were somewhat mixed (see Table A in S1 File). In support of essential unidimensionality, seven items failed to load significantly on any of the group factors, and closeness-to-unidimensionality indices for each of the items indicated that most of the item-variances were accounted for by the general factor (see Table B in S1 File). Yet, two items failed to load significantly on the general factor, and the mean factor loadings for each of the group factors were comparable to that for the general factor (see Table A in S1 File). Moreover, although the three closeness-to-unidimensionality indices approached the threshold for unidimensionality of the overall model, only one of these indices actually reached this threshold (see Table B in S1 File). Similarly, whilst the model fit statistics from the Rasch analysis suggested that the unidimensional model was a reasonable fit (χ2 = 167.84, p = 0.001; PRI = 0.873; IRI = 0.919; PSI = 0.877; ISI = 0.892), the chi-squared test was marginally significant after Bonferroni correction for 29 comparisons. Furthermore, 9.6% of the equivalency t-tests were significant (CI95% [7.2%, 11.9%]), exceeding the 5% threshold for unidimensionality.

Next, the results of the exploratory bifactor analysis were used to identify and exclude potentially problematic items (see S1 File). Exploratory factor analyses with ULS estimation were systematically repeated after removing the two FTD-SS items that did not show significant factor loadings on the general factor and the seven items that did not show significant loadings on any of the three group factors in the bifactor model (see Table C in S1 File). However, simple structure was only achieved after removing all nine of these items (see Table 2), resulting in three correlated factors that explained 60.90% of the variance in the polychoric correlation matrix for the remaining 20 items. Fit indices suggested that this three-factor model described the data well (see Table C in S1 File). Notably, the removal of three different items that showed high inter-item correlations alternatively improved the evidence for unidimensionality amongst the remaining 26 items. However, evidence of collinearity and item redundancy that would support the removal of these items was ultimately weak (see S1 File).

Finally, scores derived from the 20-item three-factor solution were evaluated for their factor determinacy and reliability [79]. Refined factor score estimates calculated using a linear regression-based approach (see [79, 80]) for the three factors were strongly correlated with one another (see Table D in S1 File), closely replicating the inter-factor correlations themselves (see Table 2). However, simple summed scores (i.e. the unweighted sum of observed item responses) for the three factors also replicated these inter-factor correlations (see Table E in S1 File) and were very highly correlated with the refined factor score estimates (see Table F in S1 File). The use of total scores was still supported by most of the closeness-to-unidimensionality indices for the 20-item three-factor model (see S1 File). Coefficient alphas calculated based on polychoric correlations indicated a high degree of consistency for each of the three factors (F1: α = 0.88; F2: α = 0.86; F3: α = 0.89), as well as across all 20 items (α = 0.92).

The 20-item version of the FTD-SS is referred to hereon in as the Revised Formal Thought Disorder–Self-Report Scale (FTD-SS-R). The first group factor encompasses a breakdown in the direction or purpose of speech and was labelled ‘Difficulty with Maintaining the Topic of Conversation’. The second group factor represents speech that is constrained or deficient and was labelled ‘Difficulty with Initiating and Sustaining Speech’. The third group factor encompasses the peculiar and idiosyncratic elements of speech, and so was labelled ‘Odd Speech’.

Confirmatory factor analysis

FTD-SS item responses in Sample 2 were positively skewed, similarly to those of Sample 1. Confirmatory factor analyses were used to assess the fit of a unidimensional model of responses to all 29 FTD-SS items in this second sample (see Fig 1), as well as Barrera et al.’s [56] correlated three factors model (see Fig 2). The fit of a unidimensional model of responses to the 20 items retained in the final exploratory factor solution in Sample 1 (see Fig 3), as well as the final correlated three factors model of responses to these 20 items (see Fig 4), were also assessed in Sample 2. As seen in Table 3, robust fit indices were superior for the correlated three factors models than the unidimensional models, with the 20-item three factors model describing the data most accurately. The coefficient alphas produced from this model of FTD-SS-R responses in Sample 2 were almost identical to those in Sample 1 (F1: α = 0.86; F2: α = 0.85; F3: α = 0.88; total: α = 0.92). The factor loadings and inter-factor correlations produced for this model have been presented in Table G in S1 File.

Fig 1. A diagrammatic representation of the unidimensional model of FTD-SS item-responses tested using a confirmatory factor analysis in Sample 2, where the variation in all 29 item-responses is explained by a single factor (i.e. 29-item unidimensional model).

Fig 1

Fig 3. A diagrammatic representation of the unidimensional model of FTD-SS-R item-responses tested using a confirmatory factor analysis in Sample 2, where a single factor explains the variation in item-responses for the 20 FTD-SS-R items that were retained in the final exploratory factor solution in Sample 1 (i.e. 20-item unidimensional model).

Fig 3

Fig 4. A diagrammatic representation of the correlated three factors model of FTD-SS-R item-responses produced using an exploratory factor analysis in Sample 1 and tested using a confirmatory factor analysis in Sample 2, where the variation in item-responses for 20 of the FTD-SS-R items is accounted for by three correlated factors (i.e. 20-item correlated three factors model).

Fig 4

Table 3. Robust fit indices for the four models tested using confirmatory factor analyses (Sample 2).

χ2 (df) CFI TLI RMSEA SRMR Average Item R2
Unidimensional Model (29-Item FTD-SS) 1342.58 (377) 0.89 0.88 0.07 0.08 0.38
Barrera et al.’s [56] Correlated Three Factors Model (29-Item FTD-SS) 987.60 (374) 0.93 0.92 0.05 0.07 0.44
Unidimensional Model (20-Item FTD-SS-R) 946.55 (170) 0.86 0.84 0.09 0.09 0.38
Correlated Three Factors Model (20-Item FTD-SS-R) 436.45 (167) 0.95 0.94 0.05 0.06 0.48

Abbreviations: CFI–Comparative Fit Index; TLI–Tucker-Lewis Index; RMSEA–Root Mean Square Error of Approximation; SRMR–Standardized Root Mean Square Residual

Convergent relationships with schizotypy and the influence of demographics

No evidence of significant differences in FTD-SS total scores were found between Sample 1 and Sample 2 (see Table 1). Thus, the two participant groups were combined for all subsequent analyses (N = 934). Moreover, for the following analyses, total scores were calculated from responses to the 20-item FTD-SS-R that were included in the best-fitting correlated three factors model. Lastly, to produce regression models that demonstrated linearity, homoscedasticity and normally distributed residuals, the FTD-SS-R total scores were transformed using a negative reciprocal transformation. However, the results were similar when untransformed summed scores were analysed instead.

Associations between the transformed FTD-SS-R scores and the other measures of schizotypy and personality were all highly significant (see Table 5). Individuals who obtained higher FTD-SS-R scores also tended to obtain higher scores on all of the other schizotypy scales, as well as on the neuroticism scale, but tended to obtain lower extraversion scores (i.e. they tended to be more introverted). Scores on the O-LIFE Cognitive Disorganization scale and the SPQ Odd Speech subscale were the strongest correlates of FTD-SS-R total scores and were most important independent predictors of FTD-SS-R total scores in the multiple regression analyses (in Models 1 and 2, respectively; see Table 4). Notably, however, both models only explained around half the variance in FTD-SS-R total scores, with 9% of the variance in FTD-SS-R total scores being explained by scores on the O-LIFE Cognitive Disorganization scale independently of scores on the other O-LIFE and IPIP scales, and 16% of the variance in FTD-SS-R total scores was explained by scores on the SPQ Odd Speech subscale independently of scores on the other SPQ subscales and IPIP scales.

Table 5. Comparisons of total scores (Transformed) from the 20-Item FTD-SS-R across demographic variables in the combined participant sample.

n Mean (SD) Significant Pairwise Comparisonsa
Gender (F[1, 928] = 5.56, p = 0.02, ω2 = 0.00, CI90% [0.000, 0.018])
    Male (M) 297 32.33 (8.43) M > F; g = 0.17, CI95% (0.028, 0.304)
    Female (F) 633 30.88 (7.51)
Country of Birth (F[1, 930] = 2.77, p = 0.10, ω2 = 0.00, CI95% [0.000, 0.012])
    Australia 710 31.58 (7.87)
    Other 222 30.64 (7.72)
Highest Level of Completed Education (F[3, 922] = 4.40, p = 0.01, ω2 = 0.01, CI95% [0.000, 0.025])
    Secondary school (S) 297 32.30 (8.10) S > P; g = 0.43, CI95% (0.188, 0.681)
    Technical or vocational training (T) 320 31.41 (8.06) T > P; g = 0.33, CI95% (0.060, 0.547)
    Undergraduate university degree 227 30.85 (7.09)
    Postgraduate university degree (P) 82 29.35 (7.69)
Student Status (F[2, 931] = 4.15, p = 0.02, ω2 = 0.01, CI95% [0.000, 0.020])
    Full-time (Ft) 420 31.87 (8.35) Ft > Pt; g = 0.17, CI95% (0.031, 0.314)
    Part-time (Pt) 356 30.29 (6.89) Pt < N; g = -0.24, CI95% (-0.426, -0.050)
    Not a student (N) 158 32.31 (8.20)
Employment Status (F[4, 241.07] = 4.20, p = 0.003, ω2 = 0.05, CI95% [0.002, 0.100])
    Unemployed (Un) 147 32.76 (7.70) Un > Ft; g = 0.38, CI95% (0.182, 0.577)
    Casual or part-time (Pt) 322 31.48 (8.38) Pt < Un; g = -0.23, CI95% (-0.427, -0.036)
    Full-time (Ft) 312 30.24 (7.19)
    Self-employed 50 30.86 (6.34)
    Other or mixed 103 32.49 (8.38)
Past Mental Health Diagnosis (F[1, 201.15] = 6.08, p = 0.01, ω2 = 0.02, CI95% [0.000, 0.081])
    Yes (Y) 138 32.51 (7.96) Y > N; g = 0.21, CI95% (0.029, 0.391)
    No (N) 796 31.14 (7.80)
Immediate Family Member with a Schizophrenia-Related Disorder (F[2, 931] = 4.66, p = 0.01, ω2 = 0.01, CI95% [0.000, 0.022])
    Yes 56 32.89 (8.68)
    No (N) 821 31.05 (7.64) N < U; g = -0.36, CI95% (-0.631, -0.093)
    Unsure (U) 57 34.07 (9.07)

Note. Only four participants identified their gender as non-binary and only eight participants completed primary school as their highest level of education. Thus, these responses were omitted from the current analyses. Transformed FTD-SS-R total scores (negative reciprocal) were the dependent variable in all analyses.

a Probability values for post-hoc tests (i.e. Tukey’s HSD or Games-Howell tests) were adjusted for familywise error using the Bonferroni method, with an alpha criterion of padj .05 (underlined: 0.05 < padj < .10). Hedge’s g effect sizes provided for significant (or near-significant) pairwise comparisons. Post-hoc tests only performed for variables exhibiting significant main effects.

Table 4. Multiple regression analyses to investigate which O-LIFE scale scores (Model 1) and SPQ subscale scores (Model 2) represent the most important predictors of FTD-SS-R total scores (Transformed) independent of neuroticism and extraversion.

Predictors Pearson’s Correlation Coefficients (r) Standardised Regression Coefficients (β) Partial Correlation Coefficients (rpartial)
Regression Model 1
O-LIFE Cognitive Disorganization 0.64*** 0.41*** 0.30
O-LIFE Unusual Experiences 0.52*** 0.21*** 0.21
O-LIFE Introvertive Anhedonia 0.39*** 0.09** 0.09
O-LIFE Impulsive Non-Conformity 0.36*** 0.07* 0.08
IPIP Neuroticism 0.49*** 0.00 0.00
IPIP Extraversion -0.37*** -0.09* -0.08
R2 = 0.47, F(6, 919) = 139.40, p < 0.001
Regression Model 2
SPQ Ideas of Reference 0.46*** 0.03 0.03
SPQ Excessive Social Anxiety 0.48*** 0.09** 0.09
SPQ Odd Beliefs or Magical Thinking 0.21*** 0.03 0.04
SPQ Unusual Perceptual Experiences 0.43*** 0.12*** 0.13
SPQ Odd or Eccentric Behaviour 0.45*** 0.05 0.06
SPQ No Close Friends 0.46*** 0.04 0.03
SPQ Odd Speech 0.67*** 0.41*** 0.40
SPQ Constricted Affect 0.48*** 0.06 0.06
SPQ Suspiciousness 0.45*** -0.04 -0.04
IPIP Neuroticism 0.49*** 0.14*** 0.15
IPIP Extraversion -0.37*** -0.06 -0.06
R2 = 0.54, F(11, 916) = 99.06, p < 0.001

Note.

* p < .05

** p < .01

*** p < .001. Probability values for Pearson’s product-moment (zero-order) correlations were adjusted for multiple tests using the false discovery rate [81]. Abbreviations: FTD-SS-R–Formal Thought Disorder–Self Scale–Revised (20-Items); IPIP–International Personality Item Pool; O-LIFE–Oxford-Liverpool Inventory of Feelings and Experiences; SPQ–Schizotypal Personality Questionnaire

The results of these regression analyses were almost identical when total scores were calculated using all of the original 29 items. Specifically, the effect sizes of all zero-order correlations, partial correlations, standardized regression coefficients, and R2 values for the 29-item FTD-SS total scores in both regression models were within 0.03 of those for the 20-item FTD-SS-R total scores. In addition, the convergent patterns of bivariate correlations were generally similar for summed subscale scores calculated for the three FTD-SS-R factors (see Table H in S1 File). Nevertheless, compared to the other FTD-SS-R subscale scores, Difficulty Initiating and Sustaining Conversation scores tended to be more strongly associated with scores on the negative schizotypy subscales (e.g. O-LIFE Introvertive Anhedonia, SPQ Constricted Affect, etc.), as well as levels of introversion, and more weakly associated with scores on most of the positive schizotypy subscales (e.g. O-LIFE Unusual Experiences, SPQ Unusual Perceptual Experiences, etc.).

Regarding the effects of the demographic variables, transformed FTD-SS-R total scores tended to be greater in participants who were younger (r = -0.23, n = 933, p < 0.001) and were greater, on average, in males compared to females (see Table 5). Significant effects were also found for level of completed education and current student status, as well as employment status, personal history of mental illness and a family history of schizophrenia-related disorders. Mean transformed FTD-SS-R total scores were lower amongst people who completed a postgraduate degree relative to people who had completed secondary school or technical training, lower amongst current students enrolled part-time relative to full-time students and non-students, lower amongst people employed full-time relative to those who were unemployed, and lower amongst those who had received a mental health diagnosis in the past. It should be emphasised that the sizes of all these effects were generally very weak. Again, these results were very similar when untransformed FTD-SS-R totals were analysed instead of the transformed scores. They were also similar when total scores from the original 29-item FTD-SS were analysed (see Table I in S1 File).

Discussion

The aim of the current study was to investigate the dimensionality and convergent validity of responses to Barrera et al.’s [56] Formal Thought Disorder–Self-Report Scale (FTD-SS) obtained in two non-clinical samples. Despite some indications of unidimensionality, exploratory dimension-reduction analyses in the first sample ultimately supported the presence of three correlated factors. However, an acceptable factor solution was only found after the removal of nine FTD-SS items, resulting in a revised 20-item version of the scale (FTD-SS-R). Confirmatory factor analyses in the second sample supported these exploratory analyses. In particular, the correlated three factors model of responses to the FTD-SS-R provided a superior fit relative to unidimensional models of both the FTD-SS-R and the original 29-item FTD-SS. This model was also a better fit than Barrera et al.’s [56] correlated three factors model of responses to the 29-item FTD-SS. Finally, FTD-SS-R scores were found to be correlated appropriately with other schizotypy measures, and particularly strongly with subscales that include items designed to assess disorganised or constrained thought and speech (DCTS).

The main difference between the current findings and those of Barrera et al. [56] was the need to remove items from the original FTD-SS in this study. The factor solutions were otherwise very similar, with both studies indicating the presence of three correlated factors. Several methodological considerations may explain this discrepancy. Notably, in the current study, the initial exploratory factor analysis of responses to all 29 items produced an inadmissible three-factor solution with Heywood cases. Heywood cases can be a sign of model misspecification, inflated sampling error, or estimates of parameters in the population that lie close to the upper boundary [82]. Item responses that exhibit redundancy or very low variance (i.e. extreme response distributions) might also produce these cases.

In terms of the influence of the sample and sampling error on the discrepant findings, it is notable that the means and standard deviations for each of the item responses sampled by Barrera et al. [56] were larger than those sampled here, even though these participant samples seem comparable in size and demography. However, Barrera et al. conducted a principle components analysis, possibly based on a Pearson’s inter-item correlation matrix (although this was not specified). Whilst polychoric correlation matrices are more appropriate for analyses of ordinal data [66], large sample sizes are required to overcome the increased sampling error associated with these correlations. This is particularly so when the sampled item responses are skewed or exhibit constrained variances, or when the measure has a low number of item-response categories or a large number of items [82]. Although there is a chance that sampling error played a part in the current findings, simulated data on a four-point ordinal scale with non-symmetrical distributions indicate that exploratory factor analyses with a sample of 350 responses should demonstrate a good quality three-factor solution across 30 items [83]. Thus, sample size alone is not likely to account for the discrepant findings.

As alluded to already, the item-response distributions tended to be positively skewed in both samples from the current study, with some items exhibiting low variance. Skewed distributions could characterise the continuum of psychopathology that encompasses schizotypy and psychosis when observed over the entire population [5, 20, 58]. However, some schizotypy measures in the past have been criticised for yielding heavily skewed data (e.g.[2, 84]), and this skew does call into question the relevance of many of the FTD-SS items to the majority of the general population. Given that nine items had to be removed in the current study before an adequate factor solution was found, a more thorough investigation of the performance of FTD-SS items is required in non-clinical samples who typically to report relatively infrequent experiences of DCTS. For example, follow-up Rasch analyses could be conducted to further support the current revisions to the FTD-SS.

It is not yet clear what variables influence FTD-SS scores amongst people without mental health disorders. Barrera et al. [56] found that FTD-SS scores tended to be greater in younger participants and amongst those reporting a personal history of mental health disorders, but did not differ between males and females or between those with and without a family history of mental health disorders. The current findings were similar, though FTD-SS-R total scores were also greater in males, and varied with education, and student and employment status. These relationships demonstrate some consistency with normative data from other schizotypy measures (e.g. [40]). However, the effects were quite small. Barrera et al. [56], in fact, collected a second sample of FTD-SS responses, reporting an average FTD-SS total score that was much closer to those of the current study. The authors speculated that the anonymous online completion of the FTD-SS may promote the disclosure of DCTS experiences when compared with the face-to-face data collection that occurred for their second sample. Yet, the current data was also collected anonymously and online. Thus, the important determinants of DCTS in schizotypy, as assessed by the FTD-SS, may not have been captured in the demographic variables assessed.

The underlying motivation behind the current study was the idea that a questionnaire dedicated to the assessment of DCTS in schizotypy could yield more sensitive measurements compared to global schizotypy measures. This idea stems from the heterogeneity that characterises DCTS in clinical samples [4152]. Admittedly, the exact number and nature of DCTS dimensions have yet to be elucidated, even for observer-rated DCTS in clinical samples. Dimension reduction analyses have indicated anywhere between two and seven separate factors, depending on the particular measures used and aspects of DCTS sampled [4152]. A negative DCTS factor has been identified reasonably consistently [41, 4346, 48, 50], including with interview-based measures of subjective DCTS [46], and this factor is often associated more with the negative syndrome of schizophrenia than the positive or disorganized syndromes [43, 46, 47, 50, 8588]. Nevertheless, other specific DCTS factors that have been reported seem to be somewhat poorly reproduced across studies [41, 4347, 4951], although there are examples of three-factor models (e.g. [50]) with similarities to the three factors found in the current study. Moreover, unidimensional models in clinical samples tend to be a poor fit (e.g. [44]). Thus, the current results are consistent with some of the findings derived from clinical samples using objective measures of DCTS.

Whilst multidimensionality was supported in the current study, it is not yet clear whether the FTD-SS-R yields a more sensitive measure of DCTS than those afforded by global schizotypy questionnaires. Indeed, FTD-SS-R total scores showed appropriate convergence with other measures of disorganized schizotypy, and these relationships were not accounted for by neuroticism or extraversion. Moreover, the three factors found in this study were strongly correlated with one another, and closeness-to-unidimensionality indices generally supported the use of the total score. Yet, the combination of schizotypy, neuroticism and extraversion scores only managed to explain half of the variance in FTD-SS-R total scores. Notably, however, Sumner et al. [58] found relationships between measures of semantic dysfluency and FTD-SS scores that were not evident with O-LIFE cognitive disorganization scores. Since semantic dysfunction is a prominent hypothesis for the pathogenesis of DCTS [89], it is at least possible that FTD-SS-R scores exhibit incremental validity over more global schizotypy measures. This possibility deserves additional research.

Another important goal of future research will be to determine whether there are conditions wherein the FTD-SS-R group dimensions become more important, such as in samples that include people experiencing more severe forms of DCTS, or people with a family history of DCTS. Some dimensions of DCTS may vary continuously between clinical and non-clinical populations, but others may not. Alternatively, some dimensions of DCTS may not be accessible to self-report, and possible sources of divergence with objective DCTS measures should be investigated. For instance, one study has demonstrated a wide range of self-reported DCTS scores obtained by people who did not have DCTS, at least ostensibly according to a clinician-rated scale [54]. It is possible that self-report questionnaires produce over-reporting in people without DCTS who are hypersensitive to relatively trivial difficulties with their communication. Relationships between self-report measures of disorganized schizotypy and neuroticism have been reported in the past [12, 13, 17], and some researchers have questioned whether self-report measures of disorganization represent anything other than a person’s anxiety surrounding their own cognitive functioning [17, 19]. The current findings, however, suggest that the convergence between the FTD-SS-R and the other measures of disorganized schizotypy cannot sufficiently be explained by neuroticism.

Additionally, DCTS can be accompanied by poor insight. This is most pronounced amongst people experiencing acute and subacute episodes of psychosis or mania, some of whom apparently do not even recognise instances of gross impairment or impropriety that are present in their speech [9092]. In these cases, subjective measures would be expected to produce under-reporting relative to objective measures [18, 54]. However, reduced insight is less common amongst individuals diagnosed with schizophrenia-related disorders whose symptomatology is mild and stable [93], and this relationship presumably extends to people without mental health diagnoses. Regardless, in some research contexts, variations in insight and other metacognitive abilities might preclude the use of the FTD-SS-R on its own without an objective measure of DCTS. The most pressing questions regarding the validity of subjective DCTS measures, such as the FTD-SS-R, is the degree to which they reflect objective manifestations of DCTS, as well as the implications of any divergence upon the pathogenesis, prognosis, and functional impact of DCTS throughout the entire psychopathological continuum [54].

One main limitation of the current study pertains to the demographic differences between the two current samples, as well as the representativeness of these samples. For example, the first sample consisted entirely of university students, and whilst the second sample included non-students, the participants were mostly well-educated. There might be reasons to expect greater levels of schizotypy amongst more disadvantaged groups [94]. Furthermore, although the assessed demographic variables had a relatively modest influence on FTD-SS-R total scores, the underlying dimensionality may still change across these variables. Thus, the inadequacy of the unidimensional model found in the second sample may have been related to these demographic differences. This should be assessed in future studies.

In conclusion, the current study was unable to entirely replicate Barrera et al.’s [56] correlated three factors model of FTD-SS responses in two non-clinical samples. After the removal of nine items, however, evidence did emerge in support of three correlated factors using exploratory factor analysis in the first sample, and this model was supported using confirmatory factor analysis in the second sample. Future research should investigate the performance of the FTD-SS items in more detail to confirm the suggested revisions. Finally, FTD-SS-R total scores exhibited evidence of convergent validity through their associations with other measures of schizotypy, and this convergence could not entirely be explained by neuroticism or extraversion.

Supporting information

S1 File. Supplmental analyses and considerations.

(DOCX)

S1 Dataset. FTD-SS Item responses and sample labels.

(TXT)

Data Availability

The participant informed consent information stated that demographic data will only be published in pooled format, to help protect anonymity. All other relevant data have been attached as supporting information.

Funding Statement

SLR was supported by an Australian National Health and Medical Research Council (NHMRC) Senior Research Fellowship (GNT1154651). URL: https://www.nhmrc.gov.au/. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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Decision Letter 0

Marco Innamorati

3 Dec 2021

PONE-D-21-24412Assessing the dimensionality of scores derived from the Formal Thought Disorder Self-Report Scale in schizotypyPLOS ONE

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Reviewer #1: The aim of the manuscript was to assess the dimensionality of the "Formal Thought Disorder Self- Report Scale. Although the topic of the manuscript seems to be of scientific interest, here are some comments which could improve the quality of the manuscript.

- I kindly ask the authors to add to the description of the FTD-SS what lower and higher score reflect (e.g., greater difficulties with communication?).

- Something with the samples is not fully convincing. The authors state that “The FTD-SS was presented as part of a larger online survey.”

So, it seems legit to ask whether these samples were in reality one big sample which was splitted into three? If this is the case, I kindly ask the authors to repeat the analyses on the whole sample and compare the different models fit using the nested model approach, because I cannot see the point of splitting the sample. If this is not the case, then I would like to see whether there are any statistical significant differences in socio-demographics among these samples.

- Line 193: Add the values of kurtosis and skewness

- Line 222: I did not understand whether these 9 items (the 7 items which did not load significantly on any of the three factors and the 2 items which did not load on the common factor), where still included in the scale and further analyses? If yes, please explain which item were kept (just the 2 items, or the 7 items, or all the 9 items), and why this decision was made.

- Moreover, it is not clear whether the three factors identified in your model, reflect the structure of the factors reported by Barrera? In other words, the items loading on your factors, also load together in the model identified by Barrera? If not, please what could be a possible explanation and why did you change the name of the factors? Finally, please adapt the discussion on the basis of these results.

- Please move “Study 2” before the aim of the study because the readers cannot tell where the discussion of the previous study end and where the aim of the new study begin.

- Line 322: I do not fully understand the rationale behind testing a second-order model on the bifactor model. Could the authors explain this decision?

- Line 344: The authors state “Notably, however, none of the participants in Sample 2 endorsed the fourth response category for item 15. The distribution for the item was similar in Sample 3, with only three participants endorsing the fourth response category. Thus, for comparability, the third and fourth response categories for this item were collapsed together in Sample 3.”. However, do the authors checked if reducing the number of categories for an item could affect model fit? Secondly, was this procedure also applied in sample 2? If not, why? Thirdly, if this procedure was in fact applied in Sample 2, it was not in sample 1. Therefore, the first aim stated by the authors for this second study “The first aim was to determine whether the bifactor model that was found in Study 1 could adequately represent responses on the FTD-SS obtained in a second student sample, and to explore whether the fit of this model surpassed that of an alternative second-order model, as well as the correlated three-factor solution reported by Barrera et al., (60) and a simple unidimensional model.”, may not be demonstrated.

Lastly, since this procedure was not performed on the sample 1, the second aim indicated by the authors “The second aim was to explore the generalizability of the best fitting model by investigating the invariance of the confirmed factor solution in a third sample derived using a different recruitment strategy.” may not be demonstrated. The fit of a model with a reduced number of categories for an item cannot be compared to the fit of a model with no reduced item categories.

I suggest the authors to not reduce the number of categories and repeat the analyses.

- Line 324: The authors state “The best fitting of these models was then applied to the responses collected in Sample 3 to demonstrate form invariance across the two samples.”. However, it is not clear to which samples they are referring to? sample 1 and 2? or 2 and 3?

Moreover, they reported testing for “form invariance”. Do they perhaps mean configural invariance? I suggest the authors to explain that part better.

Anyway, I agree with the authors that is important to test the invariance of the model, however, I would suggest to compare males and females or to re-organize the analyses conducted on each sample (so maybe they could use two sample to test fo invariance), or to collect new data.

- Move “Study 3” (see comment for “Study 2”).

- Moreover, since the aim of study 3 was to assess the validity of FTD-SS with other measure of psychopathology, it is not clear what is the rationale (or aim) behind the regression analyses conducted. I kindly ask the author to explain the need for regression analyses, otherwise I suggest the authors to drop these analyses. There are already multiple analyses in the manuscript, therefore adding analyses not supported by a clear aim could make the manuscript even harder to read.

-Line 409: It is not clear what do the authors mean with “A combination of free-response and multiple-choice questions were presented to record the following demographic information…”. I kindly ask the authors to explain better and rephrase.

- Please add for each measure administered: (1) the scale (e.g., Likert scale from …); (2) what higher scores mean; (3) indices of internal consistency (e.g., Cronbach’s alpha or ordinal alpha).

- Since the authors reported that they reduced the number of categories for item 15 in for sample 2 and 3 in the second study, but not for sample 1 in the first study, and, moreover, since for study 3 they used pooled data from all the samples, it is not clear if they reduced the number of categories also for sample 1. However, I suggest the author not to reduce the number of categories (see previous comment) and repeat the analyses for study 3.

General consideration: overall the manuscript is hard to read, mainly because its organization and the high number of statistical analyses. I suggest the author to re-organize the structure of the manuscript, by both re-organize the sections of the different studies, and computing the analyses on the whole sample. If the last suggestion is not possible, then I recommend the authors to re-organize the analyses conducted on each sample, without being too redundant.

Reviewer #2: Thank you. This is a solid report, part of a consistent line of research of a scientific and clinical importance. The statistical and psychometric analyses are complex, sound, and well presented. The implications and potential developments of the findings are well discussed. Just a minor detail: there may be a typo in line 633.

**********

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PLoS One. 2022 Dec 9;17(12):e0278841. doi: 10.1371/journal.pone.0278841.r002

Author response to Decision Letter 0


16 Jan 2022

Reviewer #1:

The aim of the manuscript was to assess the dimensionality of the "Formal Thought Disorder Self- Report Scale. Although the topic of the manuscript seems to be of scientific interest, here are some comments which could improve the quality of the manuscript.

(Response)

Thank you for your feedback!

- I kindly ask the authors to add to the description of the FTD-SS what lower and higher score reflect (e.g., greater difficulties with communication?).

(Response)

We have added this into the description of the FTD-SS on page 8 (lines 158-160), indicating that higher scores reflect more frequent difficulties with communication.

- Something with the samples is not fully convincing. The authors state that “The FTD-SS was presented as part of a larger online survey.”

So, it seems legit to ask whether these samples were in reality one big sample which was splitted into three? If this is the case, I kindly ask the authors to repeat the analyses on the whole sample and compare the different models fit using the nested model approach, because I cannot see the point of splitting the sample. If this is not the case, then I would like to see whether there are any statistical significant differences in socio-demographics among these samples.

(Response)

As mentioned in the introduction (pages 6-7, lines 120-127), only one study had previously investigated the dimensionality of non-clinical disorganised or constrained thought and speech (DCTS), and this study used a Principal Components Analysis (Barrera et al., 2015). Moreover, the dimensionality of clinical DCTS is not yet agreed upon. Thus, because there was no theoretical basis to guide a CFA, we initially set out to investigate the dimensionality of the FTD-SS using exploratory (i.e. data-driven) analyses based on polychoric correlations (as appropriate for ordinal data).

Since the bifactor model from the EFA of Study 1 diverged somewhat from Barrera et al.’s (2015) correlated three-factors model, we decided to continue data collection so that we could use CFA to assess the replicability of the model in a new sample, and so that we could determine the improvement in fit over competing models. As such, the aim of Study 2 was motivated directly from the findings of Study 1, and it would not be appropriate to combine the samples/analysis between Study 1 and Study 2.

This approach has been advocated as good model development practice (Byrne, 2010). In particular, EFA should be used when the links between observed and latent variables are uncertain, followed by CFA to validate the measurement model suggested by the EFA (pg. 5, Byrne, 2010). Using separate samples for the EFA and CFA ensures that there is a robust validation process.

On the other hand, the recruitment of the third sample was done in an effort to improve the generalisability of the current findings by being less reliant upon student participants. Although we managed to recruit more non-students and more males through Prolific, the sampled FTD-SS scores (and levels of schizotypy more generally) were highly similar. Therefore, in-light of your feedback, we have re-conducted the CFA combining the second and third samples (now referred to as “Sample 2”). The limits to generalisability are still mentioned in the discussion.

- Line 193: Add the values of kurtosis and skewness

(Response)

These values for each item have been added to Table 2, and this addition has been referred to in-text (page 15, lines 198-199).

- Line 222: I did not understand whether these 9 items (the 7 items which did not load significantly on any of the three factors and the 2 items which did not load on the common factor), where still included in the scale and further analyses? If yes, please explain which item were kept (just the 2 items, or the 7 items, or all the 9 items), and why this decision was made.

(Response)

All 9 items were retained in the subsequent CFA in Study 2. There were several reasons for this. Firstly, as mentioned in the materials section of Study 1 (page 8, lines 152-156), all 29 items from the FTD-SS were specifically designed based on distinct clinical symptoms of thought disorder, and so are important conceptually. Moreover, the items were retained from an initial pool of 52 items based on evidence of their reliability and level of endorsement in a clinical sample of people with schizophrenia (Barrera et al., 2008). These items, including the 9 in question here, were found to load significantly in the factor solution reported for this clinical sample, as well as in the correlated three-factors model reported by Barrera et al. (2015) in their non-clinical sample. It is also conceptually important to replicate the factor loadings for these 9 items because non-significant loadings might mean that these indicators are less important in non-clinical samples than in people with schizophrenia. Hence, we were reluctant to remove items without first confirming these loadings in the second sample.

Moreover, one of the aims of the CFA in Study 2 was to compare the bifactor model with other models, including Barrera et al.’s (2015) model, and this requires the retention of all 29 items, with weak/non-significant loadings attenuating support for a model. The 2 items that did not load significantly on the general factor might be considered more problematic for the bifactor model because of the importance/dominance of the general factor (based on the closeness-to-unidimensionality indices from the EFA provided in the supporting information section). Nonetheless, in the CFA, we found that all 29 items (including items 7 and 14) loaded significantly on the bifactor model, and we confirmed that dominance of the general factor. Thus, these items were included in the total scores for the regression analyses of Study 3.

Ultimately, there might be an argument for the removal of items from the FTD-SS as, in addition to the factor loadings, the large internal consistency coefficients in the current samples could indicate redundancy. However, the removal of particular items here would be premature because they depend on the theoretical interpretation of the bifactor model. For example, if the group factors represent nuisance variables unrelated to DCTS, then the 7 items that do not load significantly on any of the group factors might be considered better indicators of DCTS than the remaining items. However, if the group factors represent theoretically meaningful dimensions of DCTS, then these items are also important and might be considered better indicators of their group factors. These possibilities illustrate the importance of determining the convergent validity of the factors, which we began to do in Study 3. Nevertheless, further research is required, as we have indicated in the general discussion (page 40-41).

- Moreover, it is not clear whether the three factors identified in your model, reflect the structure of the factors reported by Barrera? In other words, the items loading on your factors, also load together in the model identified by Barrera? If not, please what could be a possible explanation and why did you change the name of the factors? Finally, please adapt the discussion on the basis of these results.

(Response)

Twenty-two items showed significant group factor loadings within the bifactor model. With one exception (item 4), these items showed significant loadings on the same factors as those reported by Barrera et al. (2015). As alluded to in the discussion (page 19, line 263-265), the main difference was that the introduction of the general factor resulted in 7 items that no longer loaded significantly on any group factor. Notably, these 7 items tended to be amongst those with the lowest factor loadings in Barrera et al.’s (2015) correlated three-factors model.

Despite these similarities, we elected to change the factor labels from those of Barrera et al. (2015) in favour of more descriptive terms, in-line with our previous work (Sumner et al., 2020). Barrera et al. (2015) themselves were inconsistent in their labelling of factor 2, which they referred to both as “Alogia” and “Conversational Ability”. Moreover, their use of “Working Memory Deficit” implies that the factor results from issues with working memory function, which has not yet been established. We have now explained this re-labelling in the results section of Study 1 (page 16, lines 233-236).

- Please move “Study 2” before the aim of the study because the readers cannot tell where the discussion of the previous study end and where the aim of the new study begin.

(Response)

We have moved the title, as suggested.

- Line 322: I do not fully understand the rationale behind testing a second-order model on the bifactor model. Could the authors explain this decision?

(Response)

Indeed, the two models appear similar, both representing three group factors and a general factor. However, the two models differ in the specified relationships between the group and general factors, and so yield different conceptual representations of multidimensionality (see Reise et al., 2010). In the bifactor model, direct relationships are modelled between the observed item variance and the general factor, and the group factors explain additional item variance that is not accounted for by the general factor. One intuitive interpretation of the group factors is that they represent nuisance variables that interfere with the measurement of the general factor (Reise et al., 2010). By contrast, in the second-order hierarchical model, the general factor is not directly related to the item variances. Instead, the general factor accounts for the variance that is common to the group factors.

We attempted to explain this distinction in the discussion for Study 1 using intelligence models as an example. The explanation has been re-worded slightly in an effort to clarify the rationale (page 21, lines 301-305, 310-312). The differences between the models are also depicted in Figures 3 and 4.

- Line 344: The authors state “Notably, however, none of the participants in Sample 2 endorsed the fourth response category for item 15. The distribution for the item was similar in Sample 3, with only three participants endorsing the fourth response category. Thus, for comparability, the third and fourth response categories for this item were collapsed together in Sample 3.”. However, do the authors checked if reducing the number of categories for an item could affect model fit? Secondly, was this procedure also applied in sample 2? If not, why? Thirdly, if this procedure was in fact applied in Sample 2, it was not in sample 1. Therefore, the first aim stated by the authors for this second study “The first aim was to determine whether the bifactor model that was found in Study 1 could adequately represent responses on the FTD-SS obtained in a second student sample, and to explore whether the fit of this model surpassed that of an alternative second-order model, as well as the correlated three-factor solution reported by Barrera et al., (60) and a simple unidimensional model.”, may not be demonstrated.

Lastly, since this procedure was not performed on the sample 1, the second aim indicated by the authors “The second aim was to explore the generalizability of the best fitting model by investigating the invariance of the confirmed factor solution in a third sample derived using a different recruitment strategy.” may not be demonstrated. The fit of a model with a reduced number of categories for an item cannot be compared to the fit of a model with no reduced item categories.

I suggest the authors to not reduce the number of categories and repeat the analyses.

- Line 324: The authors state “The best fitting of these models was then applied to the responses collected in Sample 3 to demonstrate form invariance across the two samples.”. However, it is not clear to which samples they are referring to? sample 1 and 2? or 2 and 3?

Moreover, they reported testing for “form invariance”. Do they perhaps mean configural invariance? I suggest the authors to explain that part better.

Anyway, I agree with the authors that is important to test the invariance of the model, however, I would suggest to compare males and females or to re-organize the analyses conducted on each sample (so maybe they could use two sample to test fo invariance), or to collect new data.

(Response)

We thank the reviewer for this feedback. Combining the samples in Study 2 has removed these problems and brought the analysis closer to its aim. The CFA has been re-conducted with all response categories for item 15 intact.

Unfortunately, we are not able to test configural invariance in this current data (Sample 2) because of insufficient data (i.e. unequal group sizes) across our demographics. We have noted this in the discussion as an important avenue for future research (page 42, lines 680-682).

- Move “Study 3” (see comment for “Study 2”).

(Response)

We have moved the title, as suggested.

- Moreover, since the aim of study 3 was to assess the validity of FTD-SS with other measure of psychopathology, it is not clear what is the rationale (or aim) behind the regression analyses conducted. I kindly ask the author to explain the need for regression analyses, otherwise I suggest the authors to drop these analyses. There are already multiple analyses in the manuscript, therefore adding analyses not supported by a clear aim could make the manuscript even harder to read.

(Response)

The underlying theoretical motivation behind the current study was that the FTD-SS might be a more sensitive measure of DCTS in schizotypy, when compared to other schizotypy measures that are typically used, because the FTD-SS might better capture the multidimensionality of DCTS that has been reported in clinical samples (pages 4-5, lines 74-86; page 7, lines 128-141). Thus, the aim of the study was to investigate the construct validity of the FTD-SS, with investigations of the dimensionality being a main focus (for Study 1 and Study 2). The regression analyses in Study 3 are, nevertheless, integral to the main theoretical motivation because they help evaluate how the FTD-SS performs in comparison to other measures of schizotypy. Notably, very few studies have investigated the convergent validity of self-report measures of DCTS, and our previous study is the only one to do so for the FTD-SS (Sumner et al., 2020). Since the schizotypy measures explained around half the variance in FTD-SS scores in the current dataset, and this convergence was not accounted for by neuroticism or extraversion (which have been suggested to contaminate self-report measures of DCTS), the findings of Study 3 should foster additional research into the potential incremental validity of the FTD-SS.

-Line 409: It is not clear what do the authors mean with “A combination of free-response and multiple-choice questions were presented to record the following demographic information…”. I kindly ask the authors to explain better and rephrase.

(Response)

The wording has been removed to avoid confusion (page 29, lines 445-446).

- Please add for each measure administered: (1) the scale (e.g., Likert scale from …); (2) what higher scores mean; (3) indices of internal consistency (e.g., Cronbach’s alpha or ordinal alpha).

(Response)

We had already calculated coefficient omegas to test internal consistency in Study 2, as recommended by several authors under most conditions (e.g. Reise et al., 2010; Zinbarg et al., 2005). However, for comparability, we have added total ordinal alpha coefficients for the FTD-SS in both Sample 1 (page 19, lines 260-261) and Sample 2 (page 27, lines 389-390). Ordinal coefficient alphas for the other scales were provided in the supporting information section, and these have now been moved into the manuscript (pages 30-32).

The response scales and interpretation of scale scores have also been added for all of the measures (page 8, lines 158-160; pages 30-32).

- Since the authors reported that they reduced the number of categories for item 15 in for sample 2 and 3 in the second study, but not for sample 1 in the first study, and, moreover, since for study 3 they used pooled data from all the samples, it is not clear if they reduced the number of categories also for sample 1. However, I suggest the author not to reduce the number of categories (see previous comment) and repeat the analyses for study 3.

(Response)

We have combined the two samples in Study 2, removing the need to collapse the number of categories for item 15. Thus, all analyses are now consistent across all samples, including the analyses conducted in Study 3.

General consideration: overall the manuscript is hard to read, mainly because its organization and the high number of statistical analyses. I suggest the author to re-organize the structure of the manuscript, by both re-organize the sections of the different studies, and computing the analyses on the whole sample. If the last suggestion is not possible, then I recommend the authors to re-organize the analyses conducted on each sample, without being too redundant.

(Response)

We again thank you for your constructive feedback and we hope that the clarifications made are sufficient to improve the readability of the analyses. Unfortunately, we cannot re-structure the analyses because, as mentioned, the CFA of Study 2 is based upon the findings from the EFA of Study 1, and because the analysis in Study 3 are based on the findings from Study 1 and Study 2 (i.e. continued support for the bifactor model). However, we have combined the sample for Study 2 and re-conducted the CFA, based on your feedback. Hopefully, with the edits made, you find the analyses easier to follow.

Reviewer #2:

Thank you. This is a solid report, part of a consistent line of research of a scientific and clinical importance. The statistical and psychometric analyses are complex, sound, and well presented. The implications and potential developments of the findings are well discussed. Just a minor detail: there may be a typo in line 633.

(Response)

We thank you for your positive feedback, and for identifying the typo. This has been corrected.

Additional References:

(References used here but not in the manuscript)

Byrne (2010). Structural Equation Modelling with AMOS. Basic concepts, applications and programming. Second edition. New York, Routledge.

Zinbarg, R. E., Revelle, W., Yovel, I., & Li, W. (2005). Cronbach’s α, Revelle’s β, and McDonald’s ωH: Their relations with each other and two alternative conceptualizations of reliability. Psychometrika, 70(1), 123-133.

Attachment

Submitted filename: Response to Reviewers.docx

Decision Letter 1

Marco Innamorati

14 Mar 2022

PONE-D-21-24412R1Assessing the dimensionality of scores derived from the Formal Thought Disorder Self-Report Scale in schizotypyPLOS ONE

Dear Dr. Sumner,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

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Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #1: (No Response)

Reviewer #2: All comments have been addressed

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The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

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Reviewer #2: (No Response)

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Reviewer #1: No

Reviewer #2: (No Response)

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The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: No

Reviewer #2: (No Response)

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6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: STUDY 1

- The authors state that they combined the second and third sample, which now is referred as “Sample 2”. I support this decision because there is no need to collect two more samples in order to assess replicability and generalizability of the model.

However, during the first review process I also suggested to the authors to assess whether there are socio-demographics differences between the samples. I did not find any tables or results showing whether the two samples are statistically different or not. So, again, I kindly ask the authors to conduct these analyses. If the two samples are statistically significant, I suggest the authors to repeat the EFA on both samples to assess whether these differences had affected the models whatsoever.

In any case, if there are statistical differences for socio-demographics, I suggest the authors to discuss the results in line of these differences.

- I am not totally satisfied with the explanation given by the authors on the decision to keep the nine items in the test. If seven items did not load on any of the group factors, I suggest the authors to perform a deeper item analysis (e.g. Mokken analysis) and eventually remove these problematic items. The presence of seven problematic items is too big to ignore and decide that these items should still be included in the scale without a proper item analysis.

The same goes for the two items that did not load on the general factor.

- The authors state “Because the factors found in the initial analysis appeared to be highly correlated with one another (≥ 0.56), a follow-up exploratory linear bifactor model was conducted…”.

However, this is not in line with what a bifactor model aims at assessing. A bifactor model aims at assessing unidimensionality: when the items report a greater load on the general common factor than on the other group factors, than it can be assumed that the construct is essentially unidimensional, and this is not the case for the bifactor model reported in the manuscript. Some items show a greater loading on the general common factor, while others show a greater factor loading on the other factors extracted.

Moreover, Reise (2012) reported “Exploratory analyses allow researchers to identify potential modeling problems directly rather than indirectly through post hoc inspection of fit and modification indices after estimating a confirmatory model.” (Reise, S. P. (2012). Invited paper: the rediscovery of bifactor measurement models. Multivariate Behav. Res. 47, 667–696. doi: 10.1080/00273171.2012.715555). Which means that a bifactor model cannot be the final solution. For these reasons, I suggest the authors to use the bifactor model to identify the presence of problematic items (see previous comment), and to modify the model if needed (since two items did not basically load on the general common factor (0.15 and 0.24)).

Moreover, the author state “The addition of a fourth factor in the bifactor model explained an extra 4.72% of the variance ”. That is obviously true because the more factors there are, the more variance is explained, and that is why we have to be careful with factor analysis in trying to find a balance between the number of factors and the variance explained. Including a general common factor, in addition to the three group factors already extracted, is not a valid theoretical solution. A general common factor cannot be considered, for example, as a second-order factor, which can be used for theoretical explanation.

Lastly, the authors state that in the CFA all items significantly loaded on the bifactor model. However, if the EFA did not indicate a good fit to the data, then it is pointless to perform a CFA (since the aim of the CFA is to confirm the results found by the EFA). So, I kindly suggest the authors to reconduct the EFA after the analyses on the problematic items.

- Because of the previous comment, I kindly suggest the authors to remove the bifactor model fit from Table 3. Table 3 should be a recap of all the possible model solutions (since it was established that a bifactor model cannot be considered a model solution). For model comparison the authors could report the AIC and BIC values and choose the most suitable model on the basis of their values.

STUDY 2

- “Line 322: I do not fully understand the rationale behind testing a second-order model on the bifactor model. Could the authors explain this decision?” Response: “Indeed, the two models appear similar, both representing three group factors and a general factor. However, the two models differ in the specified relationships between the group and general factors, and so yield different conceptual representations of multidimensionality (see Reise et al., 2010). In the bifactor model, direct relationships are modelled between the observed item variance and the general factor, and the group factors explain additional item variance that is not accounted for by the general factor. One intuitive interpretation of the group factors is that they represent nuisance variables that interfere with the measurement of the general factor (Reise et al., 2010). By contrast, in the second-order hierarchical model, the general factor is not directly related to the item variances. Instead, the general factor accounts for the variance that is common to the group factors.

We attempted to explain this distinction in the discussion for Study 1 using intelligence models as an example. The explanation has been re-worded slightly in an effort to clarify the rationale (page 21, lines 301-305, 310-312). The differences between the models are also depicted in Figures 3 and 4. ”

I know what a second-order hierarchical model is, however, that is not what I asked when I made the comment on the first review process. In the original version of the manuscript it was reported that new models were tested on sample 2, among which “… and a second-order model based on this bifactor model”(former line 322). Maybe it was the wording that was misunderstanding or the fact that the manuscript was (and still is) hard to read, but it seemed like that a second-order bifactor model was being tested, and that is pointless to test.

- The authors replied to my comment saying that they were unable to test configural invariance because of insufficient data, so I wanted to know what kind of invariance they tested? What is “form invariance”? Please, could the authors provide some information?

General consideration: I kindly ask the authors to re-organize the manuscript in light of the comments made about the bifactor model. Moreover, I kindly suggest the authors to take into consideration the fact of rearranging the manuscript order on the basis of the results of the analyses requested in the first 2 comments (the analyses on the differences in socio-demographic variables between the two samples was already requested during the first review process). Hence, one possible solution could be to combine Study 1 and Study 2 (since the main analysis conducted is factor analysis), which will become “Study 1” and then Study 3, which will become “Study 2”. If the authors do not agree with this suggestion, I kindly ask them to add the new analyses in the most suitable place in the manuscript so it will not make it harder to read.

Reviewer #2: (No Response)

**********

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Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #1: No

Reviewer #2: No

[NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files.]

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PLoS One. 2022 Dec 9;17(12):e0278841. doi: 10.1371/journal.pone.0278841.r004

Author response to Decision Letter 1


21 Jul 2022

We thank Reviewer 1 for taking the time to go through our manuscript a second time, and offering their valuable feedback. We have tried our best to implement all suggestions in some way.

- The authors state that they combined the second and third sample, which now is referred as “Sample 2”. I support this decision because there is no need to collect two more samples in order to assess replicability and generalizability of the model.

However, during the first review process I also suggested to the authors to assess whether there are socio-demographics differences between the samples. I did not find any tables or results showing whether the two samples are statistically different or not. So, again, I kindly ask the authors to conduct these analyses. If the two samples are statistically significant, I suggest the authors to repeat the EFA on both samples to assess whether these differences had affected the models whatsoever.

In any case, if there are statistical differences for socio-demographics, I suggest the authors to discuss the results in line of these differences.

Between-group differences have now been tested and are presented in Table 1. We have also discussed the potential sample differences as potentially influencing the fit of the unidimensional model in the CFA with Sample 2, and so this is a study limitation (lines 538-546, page 30). Although we have not reported this, the EFA results in both samples were somewhat similar. Although the parallel analysis indicated 2 factors in Sample 2, Heywood cases were still evident in the multidimensional solutions. There were also similar signs of item redundancy in both samples, and the case for unidimensionality strengthened with the removal of these items in both samples (mentioned lines 360-375, pages 20 and 21).

Note too that we now discuss demographic influences and sampling characteristics extensively when comparing our findings with those of Barrera et al. (2015; see lines 425-478, pages 26 and 27).

- I am not totally satisfied with the explanation given by the authors on the decision to keep the nine items in the test. If seven items did not load on any of the group factors, I suggest the authors to perform a deeper item analysis (e.g. Mokken analysis) and eventually remove these problematic items. The presence of seven problematic items is too big to ignore and decide that these items should still be included in the scale without a proper item analysis.

The same goes for the two items that did not load on the general factor.

We agree that an item analysis is required but maintain that it is still important to show the performance of the original scale with all 29 items. As mentioned above, we discuss the differences in the item responses sampled in the current study (both Sample 1 and Sample 2) compared to those sampled by Barrera et al. (2015), despite seemingly similar recruitment avenues and sample demographics between the two studies. Reasons for these differences are not yet clear. However, it makes sense to present this evidence and the inability to replicate their correlated three factors model before revising the scale, since the measure has already been created and used.

Nevertheless, there were some signs of item redundancy in both samples. We have now reported the largest inter-item polychoric correlations that we found in Sample 1, and note that these items also produced large residual correlations across all dimension-reduction techniques in both samples. We then indicated the effect of removing these items on the evidence in support of unidimensionality (see lines 354-375, pages 20 and 21). This promotes the conclusion that revisions to the scale are necessary, at least in samples with levels of endorsement comparable to those in the current study.

Moreover, based on your feedback below, we have revised the description of the results from the bifactor model (and the added Rasch analysis) to indicate that we are evaluating the evidence in support of the plausibility of subscales (i.e. multidimensionality) and the evidence in support of the plausibility of the overall score (i.e. unidimensionality; following the approach outlined by Dunn et al., 2020). In this context, the high number of items that did not load significantly on any group factor was taken as support for unidimensionality. On the other hand, the two items with non-significant loadings on the general factor, and the poor fit of the unidimensional model in Sample 2, both suggest the need for item revisions.

We have elaborated our point in the discussion that some of the FTD-SS items do not seem to be appropriate for non-clinical samples, at least in our non-clinical samples, given that some items exhibited low levels of endorsement (high positive skew). We then suggest that a deeper item analysis be conducted in future studies. We hope to conduct these analyses as a separate manuscript, using the Rasch analysis more extensively (beyond testing the assumption of unidimensionality).

- The authors state “Because the factors found in the initial analysis appeared to be highly correlated with one another (≥ 0.56), a follow-up exploratory linear bifactor model was conducted…”.

However, this is not in line with what a bifactor model aims at assessing. A bifactor model aims at assessing unidimensionality: when the items report a greater load on the general common factor than on the other group factors, than it can be assumed that the construct is essentially unidimensional, and this is not the case for the bifactor model reported in the manuscript. Some items show a greater loading on the general common factor, while others show a greater factor loading on the other factors extracted.

Moreover, Reise (2012) reported “Exploratory analyses allow researchers to identify potential modeling problems directly rather than indirectly through post hoc inspection of fit and modification indices after estimating a confirmatory model.” (Reise, S. P. (2012). Invited paper: the rediscovery of bifactor measurement models. Multivariate Behav. Res. 47, 667–696. doi: 10.1080/00273171.2012.715555). Which means that a bifactor model cannot be the final solution. For these reasons, I suggest the authors to use the bifactor model to identify the presence of problematic items (see previous comment), and to modify the model if needed (since two items did not basically load on the general common factor (0.15 and 0.24)).

Moreover, the author state “The addition of a fourth factor in the bifactor model explained an extra 4.72% of the variance ”. That is obviously true because the more factors there are, the more variance is explained, and that is why we have to be careful with factor analysis in trying to find a balance between the number of factors and the variance explained. Including a general common factor, in addition to the three group factors already extracted, is not a valid theoretical solution. A general common factor cannot be considered, for example, as a second-order factor, which can be used for theoretical explanation.

Lastly, the authors state that in the CFA all items significantly loaded on the bifactor model. However, if the EFA did not indicate a good fit to the data, then it is pointless to perform a CFA (since the aim of the CFA is to confirm the results found by the EFA). So, I kindly suggest the authors to reconduct the EFA after the analyses on the problematic items.

We thank the reviewer for this feedback. The description of our findings has been revised to better indicate evidence for and against unidimensionality, and removed mistaken statements suggesting that the bifactor model was a final solution. We had already concluded that the best evidence from the bifactor model was of essential unidimensionality (a conclusion that was confirmed by the corresponding author for the FACTOR program when I wrote to him to clarify the output), suggesting that a total/overall score would be the most meaningful measure derived from the questionnaire. We had initially based this on the closeness-to-unidimensionality indices that are presented as supporting information. We have now bolstered this conclusion by further considering the pattern of factor loadings in the bifactor model, conducting a Rasch analysis, and assessing the influence of item redundancy. We have also scaled back the CFA to simply show that the unidimensional model was a poor fit in a second sample. Perhaps this is unsurprising, though it serves to reproduce the lower levels of item endorsement that contrast the data presented by Barrera et al. (2015). It also affirms the need for a more in-depth analysis of the items and revisions of the scale.

- Because of the previous comment, I kindly suggest the authors to remove the bifactor model fit from Table 3. Table 3 should be a recap of all the possible model solutions (since it was established that a bifactor model cannot be considered a model solution). For model comparison the authors could report the AIC and BIC values and choose the most suitable model on the basis of their values.

We have removed Table 3. As you mentioned above, it makes little sense to test models that were not supported by the EFA. Since the balance of evidence from the exploratory analyses favoured a unidimensional model, this is the only model now tested using the CFA. Although the figures depicting the unidimensional model, Barrera et al.’s correlated three-factor model and the bifactor model have been retained, these are for illustrative purposes.

STUDY 2

- “Line 322: I do not fully understand the rationale behind testing a second-order model on the bifactor model. Could the authors explain this decision?” Response: “Indeed, the two models appear similar, both representing three group factors and a general factor. However, the two models differ in the specified relationships between the group and general factors, and so yield different conceptual representations of multidimensionality (see Reise et al., 2010). In the bifactor model, direct relationships are modelled between the observed item variance and the general factor, and the group factors explain additional item variance that is not accounted for by the general factor. One intuitive interpretation of the group factors is that they represent nuisance variables that interfere with the measurement of the general factor (Reise et al., 2010). By contrast, in the second-order hierarchical model, the general factor is not directly related to the item variances. Instead, the general factor accounts for the variance that is common to the group factors.

We attempted to explain this distinction in the discussion for Study 1 using intelligence models as an example. The explanation has been re-worded slightly in an effort to clarify the rationale (page 21, lines 301-305, 310-312). The differences between the models are also depicted in Figures 3 and 4. ”

I know what a second-order hierarchical model is, however, that is not what I asked when I made the comment on the first review process. In the original version of the manuscript it was reported that new models were tested on sample 2, among which “… and a second-order model based on this bifactor model”(former line 322). Maybe it was the wording that was misunderstanding or the fact that the manuscript was (and still is) hard to read, but it seemed like that a second-order bifactor model was being tested, and that is pointless to test.

These sections have been removed.

- The authors replied to my comment saying that they were unable to test configural invariance because of insufficient data, so I wanted to know what kind of invariance they tested? What is “form invariance”? Please, could the authors provide some information?

“Form invariance” was used erroneously. We had hoped to explore whether the factor solutions differed across potentially important demographic variables (e.g. gender). Originally, the second sample was collected using REP and the third sample was collected using Prolific (these groups are now combined into Sample 2). Prolific was used for recruitment in the hope of collecting a more representative non-clinical sample, including a greater proportion of males and less students. The first step is to test configural invariance, before successively constraining model parameters to be equal to test stricter forms of invariance. However, our sample sizes were not large enough to test invariance between levels of any the demographic variables assessed.

General consideration: I kindly ask the authors to re-organize the manuscript in light of the comments made about the bifactor model. Moreover, I kindly suggest the authors to take into consideration the fact of rearranging the manuscript order on the basis of the results of the analyses requested in the first 2 comments (the analyses on the differences in socio-demographic variables between the two samples was already requested during the first review process). Hence, one possible solution could be to combine Study 1 and Study 2 (since the main analysis conducted is factor analysis), which will become “Study 1” and then Study 3, which will become “Study 2”. If the authors do not agree with this suggestion, I kindly ask them to add the new analyses in the most suitable place in the manuscript so it will not make it harder to read.

We have now re-structured the manuscript, removing the Study 1/Study 2/Study 3 format and organising the results by “exploratory dimension-reduction analyses”, “confirmatory factor analysis”, “potential item redundancy”, and “convergent relationships with schizotypy and the influence of demographics”. The between-group comparisons have been provided in Table 1.

Reviewer #2: (No Response)

Attachment

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Decision Letter 2

Marco Innamorati

29 Aug 2022

PONE-D-21-24412R2Assessing the dimensionality of scores derived from the Formal Thought Disorder Self-Report Scale in schizotypyPLOS ONE

Dear Dr. Sumner,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

Please submit your revised manuscript by Oct 13 2022 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at plosone@plos.org. When you're ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

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We look forward to receiving your revised manuscript.

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Marco Innamorati

Academic Editor

PLOS ONE

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Please review your reference list to ensure that it is complete and correct. If you have cited papers that have been retracted, please include the rationale for doing so in the manuscript text, or remove these references and replace them with relevant current references. Any changes to the reference list should be mentioned in the rebuttal letter that accompanies your revised manuscript. If you need to cite a retracted article, indicate the article’s retracted status in the References list and also include a citation and full reference for the retraction notice.

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Reviewer #1: (No Response)

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Reviewer #1: Partly

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3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: No

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Reviewer #1: Yes

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Reviewer #1: Yes

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6. Review Comments to the Author

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Reviewer #1: I appreciate the authors responsiveness to my comments.

However, I still a have a minor concern which was not addressed in this second review process.

The authors provided support for a unidimensional factor structure for the FTD-SS with a bifactor model, however two items did not load on the general common latent factor. Moreover, the authors still decided to keep the seven items which did not load on the specific group factors. I was wondering if the authors tried to conduct the analyses without those item. Firstly, without all the nine items, then excluding the two items which did not load on the general common factor, and lastly excluding only the seven items which did not load on the specific group factors. By doing so it's possible to assess the changes in the factor structure, and, perhaps, an improvement of the model fit.

I think this is an important step in order to justify the presence of these items in the scale.

**********

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PLoS One. 2022 Dec 9;17(12):e0278841. doi: 10.1371/journal.pone.0278841.r006

Author response to Decision Letter 2


31 Oct 2022

Reviewer #1:

I appreciate the authors responsiveness to my comments. However, I still a have a minor concern which was not addressed in this second review process.

The authors provided support for a unidimensional factor structure for the FTD-SS with a bifactor model, however two items did not load on the general common latent factor. Moreover, the authors still decided to keep the seven items which did not load on the specific group factors. I was wondering if the authors tried to conduct the analyses without those item. Firstly, without all the nine items, then excluding the two items which did not load on the general common factor, and lastly excluding only the seven items which did not load on the specific group factors. By doing so it's possible to assess the changes in the factor structure, and, perhaps, an improvement of the model fit.

I think this is an important step in order to justify the presence of these items in the scale.

We thank the reviewer yet again for their advice and patience. They were correct. We removed the items and repeated the factor analyses as suggested. The removal of items improved the sampling adequacy of the polychoric correlation matrix, and parallel analyses continued to indicate the presence of three factors. Nevertheless, it was only when all nine items were removed that the three-factor solution essentially achieved simple structure (see the revised Table 2 and Table C, S1 Supporting Information).

As mentioned in the previous re-submission, we were hesitant to remove items from the scale. The FTD-SS items were originally created by Barrera et al. (2008) based on previous descriptions of symptoms of formal thought disorder in the literature. A preliminary pool of 52 items were then reduced to the final 29 items based on an ‘item analysis’ of responses obtained from a sample of people diagnosed with chronic schizophrenia, although the authors admittedly did not describe this item analysis in much detail. All 29 items had obviously also survived in Barrera et al.’s (2015) principal components analysis of responses in their non-clinical.

With respect to this hesitancy, we brought back Barrera et al.’s (2015) model with all 29 items for the confirmatory factor analysis in Sample 2. We were then able to demonstrate the fit of the three-factor model with 20 items compared to Barrera et al.’s model with 29 items, as well as unidimensional models with both 20 and 29 items (see revised Table 3, p. 20). We are, therefore, satisfied that the removal of these items was justified.

We also re-visited our removal of items due to potential item redundancy. The inter-item correlations alone in Sample 1 were not necessarily high enough to justify removing the items straight away. However, in the last re-submission, we had removed three items (1, 9 and 14) with high inter-item correlations because they also showed high residual correlations in the Rasch analysis. As might be expected, this strengthened evidence in support of unidimensionality (although the fit of the unidimensional model was still poor with these items removed in the second sample). In an effort to strengthen the evidence of item-redundancy and better justify the removal of these items, we used Ferrando et al.’s (2022) method of detecting doublets based on residuals in the exploratory factor analysis, which is now implemented in an updated version of FACTOR. Only one pair of items (items 9 and 10) were identified as potential doublets. However, the removal of one of these items alone was not sufficient to support unidimensionality. Because the justification for the removal of the three items was not a strong as the removal of the nine items based on the bifactor model, we have moved it to the supporting information section and only mentioned it only briefly in-text (see Table C, S1 Supporting Information).

All of the exploratory factor analyses conducted, including those repeated after the removal of items, has now been presented systematically in a table within the supporting information section (see Table C, S1 Supporting Information). This includes the improvement in sampling adequacy, any changes to the results of the parallel analysis for determining the number of factors to extract, the fit indices of the resultant solution, and the presence of any cross-loadings. The loadings for the 20-item three factor model in Sample 2 derived using confirmatory factor analyses have also replaced those of the unidimensional model in the supporting information section (Table G).

Notably, the 20-item three-factor solution produced factors that were strongly correlated with one another, and closeness-to-unidimensionality indices still supported the use of total scores (see S1 Supporting Information). Moreover, the convergent correlation analyses were almost identical (r±0.02) when FTD-SS total scores were calculated from the 20 items instead of all 29 items. Thus, minimal changes were needed to the remainder of the analyses. Convergent bivariate correlation analyses were repeated with scores from the 20-item three-factor model, and these are presented in the supporting information (Table H).

In-text, there have been several minor changes throughout the manuscript to reflect the amended factor analyses. The loadings for the exploratory bifactor model have been moved from Table 2 to the supporting information (Table A) and replaced in-text by the loadings for the final 20-item exploratory factor solution (p. 19). Figures 1, 2 and 3 have also been altered to reflect the new confirmatory factor analyses, and a fourth figure has been added (see captions p. 31). Minor changes to the abstract (p. 2; lines: 16-23), and the order and content of the discussion (p. 25-30; lines: 419-450, 475-478, 496-498, 548-552) have been made to reflect the tipping of evidence in favour of multidimensionality. The conclusions remain largely the same, however, that the summed total score remains an important score derived from the FTD-SS, and that additional item-analyses are needed in the future.

Again, we would like to thank the reviewer for their suggestion.

Attachment

Submitted filename: Response to Reviewers.docx

Decision Letter 3

Marco Innamorati

8 Nov 2022

PONE-D-21-24412R3Assessing the dimensionality of scores derived from the Formal Thought Disorder Self-Report Scale in schizotypyPLOS ONE

Dear Dr. Sumner,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

Please submit your revised manuscript by Dec 23 2022 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at plosone@plos.org. When you're ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

Please include the following items when submitting your revised manuscript:

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If you would like to make changes to your financial disclosure, please include your updated statement in your cover letter. Guidelines for resubmitting your figure files are available below the reviewer comments at the end of this letter.

If applicable, we recommend that you deposit your laboratory protocols in protocols.io to enhance the reproducibility of your results. Protocols.io assigns your protocol its own identifier (DOI) so that it can be cited independently in the future. For instructions see: https://journals.plos.org/plosone/s/submission-guidelines#loc-laboratory-protocols. Additionally, PLOS ONE offers an option for publishing peer-reviewed Lab Protocol articles, which describe protocols hosted on protocols.io. Read more information on sharing protocols at https://plos.org/protocols?utm_medium=editorial-email&utm_source=authorletters&utm_campaign=protocols.

We look forward to receiving your revised manuscript.

Kind regards,

Marco Innamorati

Academic Editor

PLOS ONE

Journal Requirements:

Please review your reference list to ensure that it is complete and correct. If you have cited papers that have been retracted, please include the rationale for doing so in the manuscript text, or remove these references and replace them with relevant current references. Any changes to the reference list should be mentioned in the rebuttal letter that accompanies your revised manuscript. If you need to cite a retracted article, indicate the article’s retracted status in the References list and also include a citation and full reference for the retraction notice.

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Reviewer #1: (No Response)

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Reviewer #1: Yes

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

**********

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Reviewer #1: Yes

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6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: I thank the authors for being responsive to my comments.

Just a minor suggestion regarding the title. Since some items have now been removed, perhaps writing "Assessing the dimensionality of scores derived from the Formal Thought Disorder Self- Report Scale - Revised (FTD-SS-R) in schizotypy" could be more appropriate. But I will leave the decision to the authors.

**********

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Reviewer #1: No

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PLoS One. 2022 Dec 9;17(12):e0278841. doi: 10.1371/journal.pone.0278841.r008

Author response to Decision Letter 3


11 Nov 2022

Once we had finally acquiesced to the suggestion to remove items and repeat the exploratory factor analysis, we ourselves considered whether we should subsequently refer to the scale as a revised FTD-SS. However, we decided not to for two reasons.

Firstly, as we have stated in the discussion of the manuscript, the demographic characteristics of the two samples in the current study were comparable to those reported by Barrera et al. (2015). Yet, the average FTD-SS total scores obtained in our samples appeared to be somewhat smaller than those of Barrera et al.’s sample, from which their three correlated factors solution was found. The reasons for this are currently unclear. Therefore, we believe that future research should conduct Rasch analyses to further investigate the performance of the items of the FTD-SS in non-clinical samples, and that a revised scale should be produced in-light of this analysis and the results of the current study.

Secondly, subsequent analyses exploring the convergent validity of FTD-SS scores and the influence of demographic variables upon these scores were performed in the current study using total scores calculated from all 29 items. Repeating these analyses with scores derived from the revised 20-item scale made very little impact on the results. However, we left these analyses as they were for the reason mentioned above. Thus, it is more accurate to leave the title as it is.

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Decision Letter 4

Marco Innamorati

17 Nov 2022

PONE-D-21-24412R4Assessing the dimensionality of scores derived from the Formal Thought Disorder Self-Report Scale in schizotypyPLOS ONE

Dear Dr. Sumner,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

Please submit your revised manuscript by Jan 01 2023 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at plosone@plos.org. When you're ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

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PLOS ONE

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Reviewers' comments:

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Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #1: (No Response)

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2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Partly

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: No

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

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Reviewer #1: Yes

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Reviewer #1: I am sorry but I cannot address the publication of the manuscript yet.

In the previous revisions I suggested the authors to perform changes on the factor model of the FTD-SS and to consequently adapt the results of the other analysis. The authors deleted 9 nine items from the questionnaire, which improved the fit of the model, however still kept those nine item to compute total score. How can this be correct? The readers could ask why those items were used if they were not included in the model? What is the portion of the variance explained by those items? Why did the authors not want to remove those items from the total score? The decision to still keep the nine items cannot just be theoretical. If the analyses suggest that these items should be removed, then it is pointless to compute total score with those items because they do not contribute to the factor model at all. Total score needs to be computed from only the items included in the model.

If the authors wish to compute two different total scores (one with 20 items and the other with 29 items) and analyze whether there are any statistical differences, then it is ok, but they cannot use all 29 items when the model suggested the inclusion of only 20 items.

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Reviewer #1: No

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PLoS One. 2022 Dec 9;17(12):e0278841. doi: 10.1371/journal.pone.0278841.r010

Author response to Decision Letter 4


21 Nov 2022

Note. All page and line numbers are based on tracked changes using “Simple Markup”.

Reviewer #1: I am sorry but I cannot address the publication of the manuscript yet.

In the previous revisions I suggested the authors to perform changes on the factor model of the FTD-SS and to consequently adapt the results of the other analysis. The authors deleted 9 nine items from the questionnaire, which improved the fit of the model, however still kept those nine item to compute total score. How can this be correct? The readers could ask why those items were used if they were not included in the model? What is the portion of the variance explained by those items? Why did the authors not want to remove those items from the total score? The decision to still keep the nine items cannot just be theoretical. If the analyses suggest that these items should be removed, then it is pointless to compute total score with those items because they do not contribute to the factor model at all. Total score needs to be computed from only the items included in the model.

If the authors wish to compute two different total scores (one with 20 items and the other with 29 items) and analyze whether there are any statistical differences, then it is ok, but they cannot use all 29 items when the model suggested the inclusion of only 20 items.

We agree that it is better to have a more consistent approach throughout the manuscript. In fact, we did previously analyse total scores calculated both from the revised 20-item scale and the original 29-item scale, and the results of the bivariate correlation analyses between scores from the 20-item version of the scale and the other schizotypy measures were presented in S1 Supporting Information. Our failure to change the multiple regression analyses and ANOVAs in the main manuscript was merely a matter of convenience, since repeating the analyses with total scores computed from the revised 20-item scale had negligible impacts on the results.

In particular, the effect sizes of all zero-order correlations, partial correlations, standardized regression coefficients, and R2 values for the 20-item FTD-SS-R total scores in both of the regression models (to investigate convergence with the SPQ and O-LIFE schizotypy scales) were all within 0.03 of those for the 29-item FTD-SS total scores. Indeed, we found that the correlation between total scores calculated from the 20-items and the 29-items were very large, and the changes to the analyses with demographic variables were also largely inconsequential.

As you had suggested previously, we now refer to the 20-item scale as the revised FTD-SS (FTD-SS-R). This change is evident in the title (p. 1) and abstract (lines 20-21, p. 2), and in the results (lines 355-356, p. 19; Table 3, p. 21; lines 384-428, p. 23-24; Table 4, p. 25; Table 5, p. 26) and discussion (e.g. lines 436 – 445, p. 27). Note that, where we refer to both the FTD-SS and the FTD-SS-R, such as when making comparisons in the discussion, we include the number of items (e.g. “20-item FTD-SS-R”) for additional clarity.

We have also repeated all of the analyses conducted after the EFA and CFA so that they are performed with total scores from the 20-item FTD-SS-R. Specifically, all effect sizes, p values and confidence intervals have been re-calculated for both the multiple regression analyses (see Table 4, p. 24) and ANOVAs (see Table 5, p. 26). However, because we discuss the demographic similarities between the samples of the current study and Barrera et al.’s (2015) sample, and the influence of demographics on the FTD-SS scores in these studies, we have moved the original table of ANOVAs based on the 29-item scale to S1 Supporting Information (Table I) rather than remove it entirely. Finally, the very minor differences between the results of analyses conducted on total scores from the original 29-item scale have also been described (lines 403-414, p. 23; lines 427-428, p. 24).

Attachment

Submitted filename: Response to Reviewers.docx

Decision Letter 5

Marco Innamorati

25 Nov 2022

Assessing the dimensionality of scores derived from the Revised Formal Thought Disorder Self-Report Scale in schizotypy

PONE-D-21-24412R5

Dear Dr. Sumner,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

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Kind regards,

Marco Innamorati

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #1: All comments have been addressed

**********

2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: I would like to thank the authors for addressing all my comments.

I have no further comment.

**********

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Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #1: No

**********

Acceptance letter

Marco Innamorati

1 Dec 2022

PONE-D-21-24412R5

Assessing the dimensionality of scores derived from the Revised Formal Thought Disorder Self-Report Scale in schizotypy

Dear Dr. Sumner:

I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department.

If your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information please contact onepress@plos.org.

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on behalf of

Dr. Marco Innamorati

Academic Editor

PLOS ONE

Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 File. Supplmental analyses and considerations.

    (DOCX)

    S1 Dataset. FTD-SS Item responses and sample labels.

    (TXT)

    Attachment

    Submitted filename: Response to Reviewers.docx

    Attachment

    Submitted filename: Response to Reviewers.docx

    Attachment

    Submitted filename: Response to Reviewers.docx

    Attachment

    Submitted filename: Response to Reviewers.docx

    Attachment

    Submitted filename: Response to Reviewers.docx

    Data Availability Statement

    The participant informed consent information stated that demographic data will only be published in pooled format, to help protect anonymity. All other relevant data have been attached as supporting information.


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