Abstract
Background
A large body of research has focused on identifying the optimal number of dimensions—or spectra—to model individual differences in psychopathology. Recently, it has become increasingly clear that ostensibly competing models with varying numbers of spectra can be synthesized in empirically derived hierarchical structures.
Methods and Materials
We examined the convergence between top-down (bass-ackwards or sequential principal components analysis) and bottom-up (hierarchical agglomerative cluster analysis) statistical methods for elucidating hierarchies to explicate the joint hierarchical structure of clinical and personality disorders. Analyses examined 24 clinical and personality disorders based on semi-structured clinical interviews in an outpatient psychiatric sample (n = 2900).
Results
The two methods of hierarchical analysis converged on a three-tier joint hierarchy of psychopathology. At the lowest tier, there were seven spectra—disinhibition, antagonism, core thought disorder, detachment, core internalizing, somatoform, and compulsivity—that emerged in both methods. These spectra were nested under the same three higher-order superspectra in both methods: externalizing, broad thought dysfunction, and broad internalizing. In turn, these three superspectra were nested under a single general psychopathology spectrum, which represented the top tier of the hierarchical structure.
Conclusions
The hierarchical structure mirrors and extends upon past research, with the inclusion of a novel compulsivity spectrum, and the finding that psychopathology is organized in three superordinate domains. This hierarchy can thus be used as a flexible and integrative framework to facilitate psychopathology research with varying levels of specificity (i.e., focusing on the optimal level of detailed information, rather than the optimal number of factors).
Keywords: Hierarchical taxonomy of psychopathology, clinical disorders, personality disorders, bass-ackwards analysis, hierarchical agglomerative cluster analysis
Categorical models of psychopathology have been challenged by dimensional models in recent years, given the lack of discrete boundaries among clinical and personality disorders [1]. The overlap among diagnoses in the Diagnostic and Statistical Manual of Mental Disorders [DSM; 2]—particularly their systematic patterns of co-occurrence—highlights the presence of shared underlying spectra of psychopathology that cut across traditional diagnostic boundaries and offer an empirical framework for research and clinical practice that addresses the shortcomings of the DSM [3, 4]. Large bodies of research have consequently focused on identifying the optimal number of spectra to summarize the dimensional structure of pathological personality traits and common clinical disorders.
1.1 The Dimensional Structure of Personality
Studies on dimensional models of pathological personality traits (e.g., personality disorders from the DSM) tend to converge at the five-factor level. The consistent dimensional factors include internalizing or negative affectivity—characterized by feeling anxious, depressed, or despondent; detachment or introversion—characterized by inhibition or social withdrawal; psychoticism—characterized by cognitive-perceptual aberrations; and externalizing, which is split into a combination of antagonistic (e.g., aggressive and antisocial traits) and disinhibited (e.g., impulsive and irresponsible traits) components [5–8]. These five factors also reflect the dimensional classification system of personality disorders in Section III of the DSM-5 [2, 9, 10].
1.2 The Dimensional Structure of Clinical Disorders
Similarly, structural models of common clinical disorders have consistently converged on three core dimensional spectra: (1) internalizing, characterized by depressive and anxiety disorders; (2) externalizing, characterized by substance use and antisocial behavior; and (3) thought disorder, characterized by cognitive aberrations [e.g., psychosis and mania; 11, 12, 13]. The internalizing spectrum often bifurcates into fear and distress spectra, distinguishing between phobic anxiety versus depression and generalized anxiety [14]; with the inclusion of more varied disorder indicators, nested spectra of eating pathology and low sexual function also emerge as part of the internalizing spectrum [4]. Symptom-level analyses of the externalizing spectrum also have shown distinct nested spectra of disinhibition, aggression, and substance use [15].
1.3 The Joint Structure of Clinical and Personality Disorders
Although most research to date has focused on the dimensional structure of either clinical or personality disorders, there are clear parallels in their underlying dimensions. This is consistent with the finding that personality traits act as stable orienting dispositions that confer risk for psychopathology [16]. During the development of the DSM-5, these similarities led to the proposal that personality could be used to elucidate the underlying phenotypic structure of psychopathology [e.g., 5, 8]. Six studies to date have examined the joint structure of clinical and personality disorders, generally converging on replicable domains: An internalizing spectrum consistently emerges [17–22], often alongside a detachment or pathological introversion domain [17, 19–21]; an externalizing spectrum consistently emerges [17, 19, 22], sometimes split into disinhibition and antagonism components [18, 20, 21]; and a thought disorder spectrum also emerges when there are sufficient indicators and variability in the sample [18, 19, 21]. Kotov and colleagues [18] also found evidence for a somatoform spectrum; in contrast, however, Markon [19] found somatoform indicators to be nested under the internalizing spectrum. Other studies on the joint structure of clinical and personality disorders have not included sufficient indicators to identify a somatoform factor [17, 20–22], but analyses of omnibus measures of self-reported psychopathology have found evidence for a distinct somatoform factor [23, 24].
1.4 Hierarchical Models as Integrative Frameworks
Studies of dimensional structure have largely focused on identifying the optimal number of shared underlying factors to model variation in psychopathological experiences [25, 26]. However, it has become increasingly clear that ostensibly competing models of individual differences can be synthesized into a multilevel hierarchical structure. For example, recent personality research has converged on a hierarchy that integrates longstanding 2-, 3-, 4-, and 5-factor accounts of the structure of personality and temperament domains [5–8, 27–29]. Similarly, analyses of clinical disorders have found an interpretable hierarchy that includes the three core dimensional spectra, their narrower nested components, and a higher-order general factor. This higher-order factor represents a general propensity towards psychopathology, and is hypothesized to account for shared, nonspecific etiologic mechanisms that span multiple dimensions of psychopathology [30–32]. Hierarchical models of these dimensional factors of clinical disorders have been found to maintain reliability and validity, with each level differentially predicting important outcomes such as psychosocial functioning, and disorder onset and maintenance [33, 34].
Given the similarities between the dimensional factors that underlie clinical and personality disorders, it is likely these currently disparate fields of research could be unified in a joint hierarchical model. One study to date has examined factors that emerge using maladaptive personality as a scaffold for the hierarchical structure of psychopathology: Wright and Simms [21] analyzed 35 indicators of maladaptive personality alongside 10 indicators of psychopathology, and their results strongly mirrored the hierarchical structure of personality, as expected. At the third tier of the hierarchy, internalizing, externalizing, and detachment emerged, which Wright and Simms noted mirror the “big three” of personality and temperament [e.g., 35]; at the fourth tier, a thought disorder domain emerged, accounting for the “big three” of psychopathology research [e.g., 11]; and at the fifth level, the disinhibition and antagonism domains split, converging on the DSM-5 dimensional model of personality pathology [2, 9, 10]. Lower levels of the hierarchy were characterized by the addition of unitary personality factors, including histrionism and suspiciousness.
Wright and Simms [21] explicated the five factor model, but did not depict the hierarchy (i.e., how each level was connected to the next). As such, it is not clear to what extent these sequential factors would represent hierarchical components in a structural model, or even whether these factors would form a hierarchy at all. For example, it is likely that the disinhibition and antagonism components represent narrower components of externalizing [cf. 18, 20, 21], but the other five domains that emerged in the sequential factor analysis may represent substantively distinct domains, rather than nested hierarchical factors [36]. We need to determine whether and where the spectra of psychopathology form a hierarchical structure in order to integrate the disparate literatures on clinical and personality disorders. The resultant model would offer a flexible and empirically derived framework to facilitate psychopathology research with varying levels of specificity—allowing researchers to select spectra with the optimal level of detail for their research question. Further, a joint hierarchy—based on robust representation of both clinical and personality disorders—could clarify the nature and boundaries of the shared underlying dimensions of psychopathology. Such a model may also pave the way toward more replicable and accurate etiologic research [21, 32].
1.5 The Present Study
The aim of the present study, therefore, was to explicate the joint hierarchical structure of psychopathology. We analyzed the systematic patterns of covariance among 24 indicators of clinical and personality disorders from the DSM to elucidate the spectra of psychopathology identified in the present sample [37]. The hierarchical structure of the spectra was delineated using two statistical methods: (1) Goldberg’s [38] bass-ackwards method, which sequentially extracts principal components from the top-down1. In this method, a single component is extracted at the first and highest level of the hierarchy; two uncorrelated (i.e., orthogonal) factors are extracted at the second level, and so on. This method extracts maximally distinct components at each level of the hierarchy [39] and maps the disorder indicators in a multidimensional space (i.e., all indicators load on all components at each level of the hierarchy). (2) Hierarchical agglomerative cluster analysis was used as a bottom-up analysis of the hierarchy. This method sorts disorder indicators into distinct sets based on their dissimilarity from one another, mapping their agglomeration into progressively larger mutually exclusive clusters in a tree-like structure [40]. The latter method has been used in three studies on the structure of psychopathology as a complement to exploratory factor analysis to examine convergence in the nature and number of clusters and factors that emerge [19, 41, 42]. However, it is also an ideal complement to the bass-ackwards method for delineating hierarchical models because both methods allow each level of the hierarchy to retain all the variance in the systematic patterns of covariation among the disorder indicators 2. The methods also have complementary strengths and weaknesses. For example, hierarchical cluster analysis is a robust method for delineating the hierarchical structure among highly correlated variables [40], but it may be more prone to illusory hierarchies than principal components analysis [43]. If these methods converge on a joint hierarchy that is systematic and reliable, this hierarchy could be used as an integrative framework to guide future research.
Methods and Materials
2.1 Participants, Procedure, and Measures
The methods for data collection in the present study were described in Kotov et al. [18], which previously reported a confirmatory factor analysis of these data focused on a 5-factor solution. Briefly, the participants for this study were the first 2,900 consecutive patients from the outpatient practice of Rhode Island Hospital’s Department of Psychiatry, who had enrolled in the Methods to Improve Diagnostic and Assessment Services project [44, 45]. Axis II diagnoses were measured with the Structured Interview for DSM-IV Personality [46], and subthreshold cases with one criterion less than DSM-IV thresholds were included to ensure a sufficient number of cases for analysis of each disorder. Prevalence using these criteria ranged from 1.3% for schizotypal personality to 18.3% for avoidant personality. Lifetime Axis I diagnoses—for consistency with the timeframe of personality disorder assessment—were made using the Structured Clinical Interview for DSM-IV [47]. Diagnoses affected by hierarchical rules could not be analyzed because hierarchical rules prohibit certain combinations of diagnoses, which would confound our analyses based on the patterns of covariation among the disorders. Therefore, we used a non-hierarchical generalized anxiety disorder diagnosis and examined mood episodes (major depressive and manic) rather than mood disorders, as these diagnoses include exclusion rules. Psychosis—defined as the presence of definite psychotic symptoms—was analyzed as a single category (overall prevalence of 8.1%) that included diagnoses of schizophrenia (0.5%), schizophreniform disorder (0.1%), schizoaffective disorder (0.6%), delusional disorder (0.2%), brief psychotic disorder (0.2%), psychosis not otherwise specified (1.0%), major depressive disorder with psychosis (1–1.9%), and bipolar I with psychosis (0.5%), as well as psychotic symptoms from Module B. Exclusion rules precluded the analysis of the disorders separately. For the same reason, a broad eating disorder group (combined prevalence of 7.7%) was used that consisted of anorexia nervosa (1.5%), bulimia nervosa (2.6%), and binge eating disorder (3.9%). Also, the undifferentiated somatoform disorder group (combined prevalence of 3.3%) included cases with somatization disorder (0.7%), which represents an extreme form of this condition. Not otherwise specified (NOS) diagnoses were not counted in any of the categories other than psychosis. Overall, Axis I diagnoses ranged in prevalence from 1.2% for hypochondriasis to 72.4% for major depressive episode [see 18 for more detailed information on the sample].
In contrast with Kotov et al. [18], we included only adult psychopathology (i.e., we excluded conduct disorder). We also combined social phobia with avoidant personality disorder to account for their collinearity (r = .81, p < .0005; combined prevalence of 32.9%), which is consistent with the literature arguing that avoidant PD is an extreme form of social phobia [e.g., 48]. These were the only very strongly correlated variables; the next most closely related pairs were alcohol and substance use disorders (r = .64, p < .0005). In total, 24 dichotomous diagnostic indicators were included in the analyses.
2.2 Data Analysis
All analyses were conducted in the R environment [49] using the stats [49] and psych packages [50]. Both sets of analyses were computed based on the tetrachoric correlation matrix (i.e., the bivariate relationships among binary variables), which was smoothed in the psych package by scaling selected off-diagonal rows and columns to achieve a positive definite matrix [51]. We used this correlation matrix as the basis of the top-down and bottom-up analyses so that the results were directly comparable (i.e., derived from the same information).
2.2.1 Top-Down Analysis
Bass-ackwards analyses [38] were conducted based on varimax-rotated (orthogonal) principal components analysis, starting with the first unrotated principal component, and iteratively adding a component at each level of the model. In the bass-ackwards model, the paths between levels depict correlations ≥ .3 between the component scores. Loehlin and Goldberg [36] suggested that a higher-order component correlating ≤ .9 but ≥ .3 with emergent lower-order components is an indication of hierarchical structure—i.e., the emergence of nested components, rather than the perpetuation of factors that are substantively distinct from one another throughout levels of the model, which is indicated by higher-order components correlating > .9 with lower-order components. We extended this method across all levels of the bass-ackwards hierarchy to summarize the emergence of the hierarchical structure into a more parsimonious tier-based model 3.
Standard criteria for determining the number of components and clusters to extract had little convergence, providing preliminary evidence that a hierarchical model (i.e., with a varying number of factors at each level) is appropriate. Parallel analysis suggested a model with up to eight components; Velicer’s minimum average partial test suggested a model with two components; and the very simple structure criterion suggested one component for a complexity of one (i.e., indicators can only have one non-zero loading at each level of the hierarchy, as is the case in cluster analysis), seven components for a complexity of two (i.e., indicators can have two non-zero loadings), and eight components for complexity of three or four. We therefore examined a bass-ackwards model with one to eight components. At each level, diagnoses were assigned to components based on the highest component loading, and substantial cross-loadings are noted in the results. The model had a consistent and stable structure from one to seven components, but the eighth component did not have a clear substantive interpretation (i.e., indicated only by eating disorders and dependent personality disorder). We therefore interpret only the first seven levels of the model below.
2.2.2 Bottom-Up Analysis
Hierarchical agglomerative cluster analysis using Ward’s [52] method was conducted based on a distance matrix, which summarized the dissimilarity among the indicators as 1-|r|, where r is the tetrachoric correlation coefficient. The cluster analysis dendrogram was interpreted using cutree from the stats package in R, which cuts the dendrogram horizontally into a specified number of clusters. The cluster analysis results were compared to each level of the bass-ackwards model in terms of the emergence of components and clusters in the hierarchical structures, and the disorder-to-component and disorder-to-cluster assignment. Since clusters are mutually exclusive, disorders are automatically assigned to a single cluster.
Results
3.1 Top-Down Analysis
The hierarchical results from the bass-ackwards analysis are summarized in Figure 1; the disorder-to-component assignment at each level of the hierarchy is shown in the animation in Figure 2. All indicators except somatization, pain, and hypochondriasis had substantial loadings (> .3) on the first unrotated principal component, representing a general psychopathology spectrum at the top tier of the hierarchy. At the second level, the general psychopathology component split: An externalizing component emerged—characterized by Cluster B personality disorders—alongside a broad internalizing component—characterized by core internalizing (e.g., depressive and anxiety) and somatoform disorders. A broad thought disorder component characterized by Cluster A personality disorders and psychosis also emerged at the third level, correlating most strongly with the general psychopathology component. These three components appear to form the second tier of the hierarchy.
At the fourth level, broad internalizing bifurcated into somatoform and core internalizing components. At the fifth level, broad thought disorder bifurcated into core thought disorder (i.e., mania and psychosis) and detachment components. At the sixth level, externalizing bifurcated into disinhibition and antagonism. These six components thus belong to a third tier of the hierarchy, representing factors nested under the second tier.
Finally, a compulsivity component emerged at the seventh level (see Table 1 for all components loadings at this level). The compulsivity component correlated only weakly (r < .3) with other components in the model, and had similar relationships across levels one to five with the general psychopathology (r = .24, p < .0005), broad internalizing (r = .24–.25, p < .0005), and somatoform (r = .23–.24, p < .0005) components. It had only weak relationships with the level six antagonism (r = .19, p < .0005), somatoform (r = .18, p < .0005), and core internalizing (r = .13, p < .0005) components. To better understand the position of the compulsivity component in a hierarchical model, we turn to the hierarchical clustering results.
Table 1.
Components
|
|||||||
---|---|---|---|---|---|---|---|
Disorder | Disinhibition | Antagonism | Compulsivity | Somatoform | Core Internalizing |
Core Thought Disorder |
Detachment |
Substance Use | .86 | .11 | .10 | −.05 | .08 | .09 | .00 |
Alcohol Use | .82 | .13 | .05 | −.03 | .04 | .04 | .03 |
Antisocial PD | .59 | .54 | −.06 | −.03 | .07 | .05 | .16 |
Histrionic PD | .14 | .86 | −.04 | −.11 | .15 | .15 | −.09 |
Narcissistic PD | .17 | .80 | .34 | .09 | −.11 | −.07 | .09 |
Borderline PD | .25 | .59 | .07 | .11 | .50 | .12 | .28 |
Paranoid PD | .22 | .42 | .29 | .34 | .21 | .15 | .41 |
OCPD | .14 | .13 | .83 | .14 | .09 | .08 | .14 |
OCD | −.10 | .16 | .42 | .03 | .31 | .30 | .14 |
Somatization | −.03 | −.04 | .20 | .77 | .04 | −.02 | .00 |
Hypochondriasis | .05 | −.15 | .07 | .69 | .18 | .00 | .03 |
Pain Disorder | −.14 | .29 | −.11 | .67 | −.02 | .00 | .03 |
Major Depressive Episode | .01 | .11 | .16 | .00 | .67 | .15 | −.09 |
Dependent PD | .09 | .14 | −.05 | −.19 | .66 | −.18 | .33 |
Generalized Anxiety | .10 | −.01 | .37 | .10 | .61 | −.18 | .00 |
Panic | .05 | −.04 | −.07 | .28 | .55 | .21 | −.02 |
Social Anx/APD | .10 | −.10 | .15 | .10 | .51 | −.11 | .50 |
PTSD | .28 | −.06 | −.08 | .21 | .48 | .39 | .08 |
Eating Disorders | −.16 | .33 | .17 | −.01 | .42 | .21 | .00 |
Specific Phobia | −.04 | .19 | −.11 | .20 | .36 | .04 | .31 |
Mania | .10 | .12 | .16 | −.15 | .13 | .86 | −.06 |
Psychosis | .08 | .06 | .00 | .16 | −.04 | .73 | .47 |
Schizoid PD | −.09 | −.07 | .21 | −.04 | −.03 | .00 | .85 |
Schizotypal PD | .19 | .24 | −.04 | .01 | .10 | .32 | .77 |
Note. Loadings are sorted by size within components, and loadings ≥ |.4| are bolded.
PD = personality disorder, OCPD = obsessive-compulsive personality disorder, OCD = obsessive-compulsive disorder, Social Anx/APD = social anxiety and/or avoidant personality disorder, PTSD = posttraumatic stress disorder. PD variables include subthreshold cases with one criterion less than DSM-IV thresholds.
3.2 Bottom-Up Analysis
The emergence of clusters is shown in the animation in Figure 2, and summarized in the static Figure 3. Notably, the same seven components emerged and were identified by the same indicators in 22 of 24 (91.7%) cases. The hierarchies themselves are also highly similar: Externalizing bifurcated into antagonism and disinhibition, the broad thought disorder cluster bifurcated into core thought disorder and detachment clusters, and the somatoform and core internalizing clusters emerged from the larger broad internalizing cluster, mirroring the bass-ackwards results.
In contrast to the bass-ackwards results, the compulsivity cluster was most closely related to the core internalizing cluster, and emerged from the larger broad internalizing cluster. Combined with its equal relationships across the broad internalizing and somatoform components in the bass-ackwards analysis, it seems most likely that compulsivity represents a factor nested under the broad internalizing spectrum.
The convergence between the top-down and bottom-up analyses is shown in Figure 2, and a summary of the resultant integrative hierarchical model is shown in Figure 4. Indicators were assigned to spectra based on their cluster assignment, and based on substantial component loadings (≥ .4) in the seven-component bass-ackwards model (i.e., after all seven spectra had emerged).
Discussion
This study empirically elucidated the joint hierarchical structure of clinical and personality disorders. The top-down and bottom-up analyses converged on remarkably similar results, forming a three-tier hierarchical model of psychopathology. The bottom tier of both hierarchies included the same seven spectra: disinhibition, antagonism, core thought disorder, detachment, core internalizing, somatoform, and compulsivity. These spectra were nested under three superspectra in both methods: externalizing, broad thought disorder, and broad internalizing. In turn, these superspectra were nested under a single general psychopathology dimension. Although the focus on only maladaptive behaviors and traits in the present study means that the general factor may be a positive manifold in this instance [i.e., a consequence of the systematic positive correlations among all the indicators, cf. 26], there is a growing body of evidence supporting the validity and utility of a factor representing the general propensity towards psychopathology [e.g., 32]. We discuss the lower tiers of the hierarchy—one branch of the hierarchy at a time—in the context of the extant literature below.
4.1 Externalizing Spectra
Disinhibition was characterized by alcohol use and substance use disorders in both methods; in addition, antisocial personality disorder spanned both disinhibition and antagonism in the bass-ackwards model, in line with past research [7]. A disinhibition spectrum has consistently emerged in a five-factor psychopathology structure [18, 20, 21] and also mirrors the impulsivity factor in the hierarchical structure of personality [7]. Antagonism was characterized by histrionic, narcissistic, borderline, antisocial, and paranoid personality disorders in both methods, also mirroring previous studies integrating clinical and personality disorders, as well as normal and maladaptive personality [7, 17, 18, 20, 21]. Disinhibition and antagonism were nested components of the broader externalizing spectrum, which has emerged in all studies of the structure of psychopathology in the absence of distinct lower-order factors [17, 19].
4.2 Thought Disorder Spectra
The core thought disorder spectrum was characterized by mania and psychosis in the top-down and bottom-up methods. Although this representation of the thought disorder spectrum was narrower than past research [53], the classification of psychosis and mania together mirrors prior structural studies of clinical and personality disorders [18, 19, 21], likely reflecting disorganized symptoms and delusions common in both conditions. The other disorders that have typically been assigned to a thought disorder spectrum [e.g., schizotypal and paranoid personality disorders; 53] were indicators for the detachment spectrum in our results. Of note, schizotypal personality disorder is highly heterogeneous—including symptoms of both detachment and psychoticism—which likely accounted for its loading on detachment in the present analyses and on a core thought disorder spectrum in past analyses [e.g., 11]. Otherwise, detachment mirrored the pathological/anhedonic introversion factors in prior work [17, 19–21], with the absence of dependent personality disorder, which fell on this spectrum in some other studies [17, 19, 20]—although not in all [18, 21]. As mentioned below, dependent personality instead loaded onto the core internalizing spectrum in our study, highlighting its prominent neuroticism component [7]. Delineating the boundaries of these spectra using symptom-level data to account for heterogeneity within disorders is an important topic for future research.
Together, the detachment and core thought disorder spectra were nested under a broad thought disorder spectrum, consistent with the previous analysis of these data [18], but representing a more generalized thought disorder spectrum compared to some other studies [e.g., 4, 11]. These results are in line with classifying negative symptoms—which are extreme manifestations of detachment—with positive symptoms—which are extreme manifestations of psychoticism—under the common rubric of schizophrenia [53].
4.3 Internalizing Spectra
A core internalizing spectrum emerged, representing the fifth factor that is consistently found in joint structures of psychopathology, and of normal and maladaptive personality [17, 18, 20, 21, 54]. In top-down and bottom-up analyses, core internalizing was characterized by major depressive episode, dependent personality, generalized anxiety, panic, social phobia/avoidant personality, posttraumatic stress, and specific phobia, consistent with the existing literature [12, 18, 21]. Borderline personality and eating disorders also had substantial loadings onto the internalizing factor in the bass-ackwards model, mirroring other studies [e.g., 18, 21, 55]. In contrast with past research on the structure of clinical disorders, distinct fear and distress spectra did not emerge [e.g., 14, 17], but they may only emerge at lower levels of the structure.
The somatoform spectrum was characterized in both methods by somatization, hypochondriasis, and pain disorder. This mirrored the previous analysis of these data, which provided the first evidence for a somatoform spectrum of psychopathology [18]. Although a somatoform factor did not emerge in Markon’s [19] analyses due to limited indicators, Krueger et al. [56] found that structural models with a distinct somatoform factor had similar model fit to those that subsumed somatization indicators under an internalizing factor. The latter finding is consistent with a hierarchical internalizing spectrum and a nested somatoform subspectrum, as both models provide adequate fit. However, given the limited number of studies that have included multiple indicators of somatoform disorders, this issue requires further research.
Finally, a novel compulsivity spectrum emerged that was characterized by obsessive-compulsive personality and obsessive-compulsive disorder in both methods. Eating disorders also were classified as indicators for the compulsivity spectrum in the cluster analysis, although it is noteworthy that eating disorders were only a weak indicator for compulsivity in the seven-component bass-ackwards model (b = .17). The assignment of eating disorders to the compulsivity cluster is consistent with the concurrent and prospective associations among obsessive-compulsive personality disorder and obsessive-compulsive disorder symptoms with restricting, binging, and purging eating pathology [57–59], as well as their shared familial risk and shared traits [e.g., perfectionism, 60]. In addition to the primary assignment of antisocial personality disorder to both disinhibition (bass-ackwards) and antagonism (cluster analyses), the assignment of eating disorders to both internalizing (bass-ackwards) and compulsivity (cluster analyses) represented the only other instance wherein disorder indicators did not have the same primary assignment for both methods. Future research should include symptom-level measurement of these disorders—indeed of all psychopathology—to allow the homogeneous syndromes nested within disorder indicators to be classified and characterized with more specificity.
Although obsessive-compulsive disorder has tended to load under broader internalizing factors in past research [e.g., 19, 21, 61], the emergence of a compulsivity factor of psychopathology mirrors models of personality, which consistently include a domain regarding the control and regulation of behavior [7]. It is noteworthy that the grouping of obsessive-compulsive disorder and obsessive-compulsive personality disorder is consistent with research that has found a unique relationship between these disorders, diverging from depressive and anxiety disorders [62], but is in contrast to research highlighting the distinctions between them [63]. Further, the compulsivity component was aberrant in the bass-ackwards analyses, as it did not emerge from the higher-order components as did the other six lower-order components. This spectrum therefore requires replication and validation before it can be reliably implemented to guide future research.
The agglomeration of the core internalizing, somatoform, and compulsivity spectra into a broad internalizing superspectrum is consistent with the interrelationships among the indicators for these spectra, which have been found to cluster together in past research [e.g., 17, 18, 19, 21]. In contrast, other nested dimensions of the broad internalizing superspectrum that have been found in prior work—such as distinct eating pathology and low sexual function subspectra [55, 64]—did not emerge, due to the lack of sufficient indicators. The internalizing spectra found in the present study thus highlight the influence of the nature and number of indicators used to delineate structural models, as well as the variability of these symptoms, as the nested somatoform and compulsivity spectra also would not emerge in studies without sufficient indicators or variability to characterize these factors [e.g., 17, 19, 21; cf. example of thought disorder in section 1.3].
4.4 Comparing the Top-Down and Bottom-Up Methods
Overall, the consistency between the two sets of analyses was remarkable, given the differences in the underlying methods; they converged at all tiers of the hierarchy. The maximum divergence in grouping of diagnoses between component and cluster analyses did not exceed 12.5%, and there was 91.7% overlap between them at the seven-spectrum level. Both methods also converged on three superspectra representing disordered emotion (broad internalizing), cognition (broad thought disorder), and behavior (externalizing), reflecting the three core components of psychopathology. The convergence between the methods reinforces the evidence for a hierarchical model. For example, cluster analysis is more prone to illusory hierarchies than principal components analysis because the mutually exclusive clusters do not allow for indicators to have cross-loadings to multiple domains, which have been found to account for apparent hierarchical relationships in personality research [43, 65]. In contrast, the bass-ackwards analyses allowed all indicators to load on all components. The cross-loadings in the bass-ackwards method therefore not only relaxed the highly restrictive structure of cluster analysis, but also accounted for some of the heterogeneity within diagnostic categories, such as the distinct internalizing and externalizing components of borderline personality disorder [66, 67]. Taken together, the constancy of the hierarchy in both methods suggests that these are not illusory hierarchical relationships due to residual correlations between factors [cf. 43], or to substantively distinct factors perpetuating through multiple levels of analysis [36].
4.5 Limitations and Future Directions
These results should be interpreted in the context of the limitations of the present study. The primary limitation of the present study was the use of dichotomous indicator variables to represent each DSM diagnosis. There was evident heterogeneity within these disorder indicators. For example, a quarter of the indicators were assigned to multiple spectra based primarily on substantial cross-loadings in the bass-ackwards analyses (i.e., multiple component loadings ≥ .4) reflecting the conflation of multiple syndromes within the diagnostic categories. This heterogeneity within DSM diagnoses highlights the importance of future research including symptom-level measurement of disorders, as mentioned above, rather than relying on the arbitrary diagnostic thresholds that suppress variability in the clinical presentation of disorders. A symptom-level approach in future research not only would allow for the modelling of this diagnostic heterogeneity, but also would allow for more comprehensive examination of variation in functioning. Further, the measurement of anorexia nervosa, bulimia nervosa, and binge eating disorder symptoms was limited to a single dichotomous variable, which excluded delineation of the factors that distinguish between these disorders [e.g., 68, 69]. Finer grained measurement of eating pathology in particular should therefore be a focus in future research.
This study was also limited to maladaptive traits and behaviors, and did not include normative variants of clinical and personality disorders. Some research has suggested that normal personality and clinical disorders may have weak integration [70, 71]. However, other studies have found that normal and maladaptive personality are integrable [e.g., 54], that normal personality has strong relationships with clinical disorders [e.g., 29, 72], and that maladaptive personality and clinical disorders are integrable [7, 73]. Taken together, these past findings suggest that there is scope to extend the present framework, which would be an interesting avenue for future research.
Finally, we did not account for the method variance associated with using different structured interviews for clinical and personality disorders. The hierarchical structure in the present study generally integrated these traditionally separate groups of disorders, suggesting this is indeed a joint hierarchical structure—akin to Wright and Simms [21], which did account for method variance. Whereas factors derived in bass-ackwards analyses of personality have been found to distinguish among clinical disorders [29, 74], here the spectra in the hierarchy represented the shared characteristics among clinical and personality disorders. It is noteworthy, however, that the antagonism, core thought disorder, and somatoform spectra were exclusively identified by either clinical or personality disorders. Given Røysamb and colleagues [20] suggested axis clustering may be substantial in the joint structure of psychopathology, future research should also investigate this further.
4.6 Conclusions
Despite these limitations, our study found interesting and novel results. Two methods of hierarchical analysis converged on a joint hierarchy of psychopathology that appears to be systematic and reliable, and is directly applicable to clinical populations. This hierarchy can thus be used as a flexible and integrative framework to facilitate psychopathology research with varying levels of specificity. For example, rather than focusing on the optimal number of factors to characterize personality or clinical phenomena, researchers can focus on the optimal resolution for their research; selecting a level of the hierarchy (e.g., broader higher-order factors, or narrower lower-order factors) based on whether they are interested in generalist or specialist processes. This hierarchy should also be extended upon in future research—including refinement downwards based on symptom-level analyses—and should be iteratively refined using different disorder indicators and samples.
Supplementary Material
Acknowledgments
Role of Funding Source: Dr. Forbes was supported by the National Institute of Drug Abuse (T320A037183). NIDA had no further role in the study design; in the collection, analysis, and interpretation of data; in writing; nor in the decision to submit the manuscript for publication.
Footnotes
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Conflicts of Interest: None.
The bass-ackwards method can also be conducted in an exploratory structural equation modelling framework [e.g., 34]. We chose to use a principal components framework based on Goldberg’s [38] recommendation.
In traditional hierarchical models (e.g., a hierarchical confirmatory factor analysis, or a bifactor model), the variance in the higher-order factors is removed from the lower-order factors. For example, in a hierarchical model of the internalizing spectrum, the subordinate fear and distress factors capture only the small distinctions between fear and distress indicators (e.g., what makes Generalized Anxiety Disorder different from Panic Disorder), but not the shared aspects within the subfactors (e.g., what makes Generalized Anxiety Disorder similar to Major Depression); the latter actually represent most of the variance in the model. This means that the subordinate factors in these hierarchical models have little independent substantive meaning.
We refer to tiers of the hierarchy to distinguish between nested components of the hierarchical structure and levels of the hierarchical analyses. For example, the internalizing and externalizing spectra are forced onto different levels in the analyses because only one new component or cluster can emerge at each level. However, we can collapse them into a single tier to represent their equivalent rank (i.e., “superspectra”) in the hierarchical model [4].
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