Abstract
Schizophrenia is a highly heterogeneous disorder, not only in its phenomenology but in its clinical course. This limits the usefulness of the diagnosis as a basis for both research and clinical management. Methods of reducing this heterogeneity may inform the diagnostic classification. With this in mind, we performed k-means clustering with symptom and cognitive measures to generate groups in a machine-driven way. We found that our data was best organised in three clusters: high cognitive performance, high positive symptomatology, low positive symptomatology. We hypothesized that these clusters represented biological categories, which we tested by comparing these groups in terms of brain volumetric information. We included all the groups in an ANCOVA analysis with post hoc tests, where brain volume areas were modelled as dependent variables, controlling for age and estimated intracranial volume. We found six brain volumes significantly differed between the clusters: left caudate, left cuneus, left lateral occipital, left inferior temporal, right lateral, and right pars opercularis. The k-means clustering provides a way of subtyping schizophrenia which appears to have a biological basis, though one that requires both replication and confirmation of its clinical significance.
Keywords: schizophrenia, positive and negative symptoms, clustering, data-driven subgrouping
1. Introduction
Schizophrenia is a heterogeneous disorder. A broad range of risks has been associated with the condition, from maternal infection (al-Haddad et al., 2019), to urbanicity (Del-Ben et al., 2019) and migration (Fearon et al., 2006). It also has been associated with at least 108 genes (Ripke et al., 2014), life events (Tandon et al., 2008), cognitive performance, and brain alterations (Castro-de-Araujo and Kanaan, 2017). Not surprisingly, subjects with this disorder present with varied clinical phenomenology and course, which leads to calls for endophenotypes that might allow more precise prediction of the clinical course and treatment effect.
Subtyping schizophrenia dates back to Bleuler (Fusar-Poli and Politi, 2008), who divided it using phenomenological features. These subtypes – paranoid, catatonic, hebephrenic and simple - have evolved significantly but are still retained in modern classification manuals. Other phenomenological classifications followed (Jablensky, 2010), notably the ‘deficit’ and ‘non-deficit’ types, which have found significant biological and clinical support (Cohen et al., 2010). For example, assessments of cognitive performance support the “deficit” subtype (Dickinson et al. 2018) with demographic characteristics – typically males with low economic status. And a pattern of brain volumetric alterations has also been associated with it, with changes noted in numerous regions including Medial orbital frontal, Middle temporal and Superior temporal lobes (Weinberg et al., 2016). These findings have proven durable and stable enough that many authors consider the subgroup a discrete category (Kanchanatawan et al., 2018).
Another longstanding phenomenological approach is the schizophrenia spectrum, defining subgroups of severity and disease course, a distinction that has its roots in Bleuler (Fusar-Poli and Politi, 2008) and Kraepelin (Kendler and Engstrom, 2016). The latest variant of this is the definition a group known as the ‘clinical high-risk state for psychosis’ (Fusar-Poli, 2017). This construct captures a pre-psychotic phase, to identify those with higher risk of progressing to full blown psychosis. It has been found that subjects at risk of psychosis presents with altered cognitive performance and altered social cognition prior to the onset of the disorder (Fusar-Poli et al., 2013). These subjects also present with brain volumetric alterations in areas typically altered in schizophrenics, like the hippocampus and the anterior cingulate cortex (Fusar-Poli et al., 2013).
There is more recent history of using statistical methods to define categories. Andreasen and colleagues used factor analysis with varimax rotation based on clinical scales to define subgroups (Andreasen et al., 1995; Andreasen and Olsen, 1982). This approach became popular with other groups using the same approach (Liddle, 2019, 1987), supporting three main subtypes: disorganized, psychotic and negative. Again, biological support for these has come from other research groups, for example in functional brain alterations differing between groups (Hazlett and Buchsbaum, 2001; Schröder et al., 1995). Most impressively, the negative sub-group has been linked to hypofrontality in FDG-PET (Hazlett et al., 2019, 2000).
Another statistical study has yielded the “distress” subgroup. It is characterized by anxious and depressive symptoms (Lönnqvist et al., 2009), including elevated cortisol secretion (Corcoran et al., 2012). This subtype incorporates concepts from the study of personality and implies that subjects can present with strong positive or negative affectivity (Horan et al., 2008).
The approaches listed above have focused on subtyping schizophrenia using either cognitive performance or symptomatology. However, modern machine learning techniques offer clustering methods that are neutral regarding the type of data used in the algorithm. We set out to apply a simple and now well-established clustering method, k-means, in which the algorithm identifies properties of the data points (subjects analysed) that makes them either closer or more distant to cluster prototypes, partitioning the set of subjects. Our approach was to cluster the subjects with schizophrenia based on their cognitive and symptom scores, and then determine whether the clusters showed differences in their regional brain volumes. This aimed to identify a more complex endophenotype, including symptom severity and cognitive performance at the same time, and to seek a neurobiological correlate in their brain volumes, which have been shown to be altered in the previously defined subtypes.
2. Methods
2.1. Data source
Subjects from the NUSDAST data set (NU Schizophrenia Data and Software Tool Federation using BIRN Infrastructure, North-Western University, Illinois) (Wang et al., 2013) were used for this analysis. These are made accessible through the online interface SchizConnect (http://schizconnect.org) (Ambite et al. 2015).
2.2. Data set characteristics
The NUSDAST dataset comprises subjects recruited by advert from the community. Diagnosis was by DSM-IV criteria, by a team comprising a Psychiatrist, using a semi-structured interview (the Structured Clinical Interview for DSM-IV Axis I Disorders (SCID)) (First et al., 1997), in consensus with a research assistant. The team were trained and diagnoses regularly calibrated. Exclusion criteria were subjects who met DSM-IV criteria for substance abuse/dependence, who had a clinically unstable mental state or other severe clinical condition, who had a past or present head injury, or met DSM-IV criteria for mild (or greater) mental retardation (Harms et al., 2007).
This dataset has been previously described (Csernansky et al., 2002; Harms et al., 2007). It comprised two cohorts with identical selection procedures, which were later anonymized and made available online following the stripping of identifiable information in compliance with HIPAA de-identification. A complete explanation of the procedure is presented elsewhere (Wang et al., 2013). After filtering for subjects with schizophrenia who had completed both psychological assessment and neuroimaging we ended up with 151 subjects for this study, all from North American.
2.3. Neuroimaging
The NUSDAST data set includes structural neuroimaging data, available in a processed form. According to Ambite et al. (2015), MRI scans for the NUSDAST data set were performed on a 1.5 T Vision scanner platform (Siemens Medical Systems). FreeSurfer version 3.0.4, (http://surfer.nmr.mgh.harvard.edu/), was used to obtain cortical parcellations. It proceeds by automated neuroanatomical labelling of locations on a cortical surface model (Desikan et al., 2006; Wang et al., 2013). These procedures are detailed in previous papers (Dale et al., 1999; Fischl and Dale, 2000; Fischl et al., 2004). FreeSurfer provides calculated volumes for several cortical areas, including white and grey matter. The SchizConnect interface for the NUSDAST dataset provided the parcellations and volumes in mm3, and scores for numerous cognitive assessments.
2.4. Cognitive assessment and symptom severity
The data set included assessments for numerous cognitive domains, however we used the data for crystallised intelligence, as captured by the scaled score from the Vocabulary subtest of the Wechsler Adult Intelligence Scale (WMS-III) (Wechsler, 1995). The dictionary for this data set was previously published (Wang et al., 2013).
Clinical scales obtained were the Scale for the Assessment of Positive Symptoms (Andreasen, 1984) and the Scale for the Assessment of Negative Symptoms (Andreasen, 1983). Based on these, scores of psychotic, disorganized and negative symptoms were calculated (Ambite et al., 2015). Finally, the data set also provided calculated z-scored values for the clinical domains (psychotic, disorganized and negative symptoms) and for the cognitive assessments above.
2.5. Data analysis
We used R version 3.5.2 (https://cran.r-project.org/) in all further steps of our analyses. The volumetric data information and the scores of the cognitive assessments were provided in separate files, which we linked manually using a data dictionary also provided by the authors of the data set. We accessed only data from the first visit (from baseline) of subjects with a known diagnosis of schizophrenia, and after filtering for these we ended up with 151 observations. We used the r-base package kmeans for clustering and the JVM package for the ANCOVAS (Selker et al., 2019).
Clustering methods partition data values into smaller groups or clusters. K-means is a clustering method that tries to minimise the distance from each data point to the centre of the cluster using the Euclidean distance. It is considered a machine learning method, because the algorithm can decide the position of each observation using properties of these observations and without human interference. We used the z-scored variables to perform the investigation of the optimal number of centres, and the k-means clustering. After this, we labelled all subjects with their respective cluster and performed ANCOVAS with regional brain volumes as the dependent variables and controlled for age and the estimated intracranial volume. See Table 2 for the list of areas analysed.
Table 2.
Brain areas, their mean (SD) volumes (mm3) across groups. P-values calculated with Bonferroni-corrected ANCOVAS. n, number of observations. n2, is a measure of effect power for each comparison.
Overall | low-positive | high-positive | performance | F | df | etaSq | pvalue | |
---|---|---|---|---|---|---|---|---|
L Cortex Volume | 217678 (30942) | 217143 (29292) | 207870 (28849) | 226581 (32543) | 9.32 | 2 | 0.04 | 0.00 * |
R Cortex Volume | 217756 (31084) | 217170 (29717) | 208431 (28458) | 226294 (33087) | 8.40 | 2 | 0.03 | 0.00 * |
Cortex Volume | 435434 (61923) | 434312 (58907) | 416300 (57142) | 452876 (65565) | 9.06 | 2 | 0.04 | 0.00 * |
L Cortical White Matter Vol | 222032 (32417) | 230114 (31517) | 209425 (33936) | 225333 (29675) | 0.68 | 2 | 0.00 | 0.51 |
R Cortical White Matter Vol | 223875 (32647) | 232233 (32382) | 210945 (33932) | 227197 (29336) | 0.83 | 2 | 0.00 | 0.44 |
Cortical White Matter Vol | 445907 (64998) | 462346 (63824) | 420370 (67824) | 452530 (58929) | 0.76 | 2 | 0.00 | 0.47 |
Subcortical Gray Vol | 57566 (6285) | 58566 (5225) | 55613 (7245) | 58312 (6141) | 0.34 | 2 | 0.00 | 0.71 |
Total Gray Vol | 587690 (77072) | 589060 (76830) | 562206 (70329) | 608261 (79015) | 9.46 | 2 | 0.03 | 0.00 * |
Supratentorial Vol | 959915 (122573) | 976013 (116049) | 912556 (120805) | 985560 (122555) | 2.49 | 2 | 0.01 | 0.09 |
L Cerebellum White Matter | 13979 (2077) | 14453 (2081) | 12969 (1626) | 14406 (2175) | 1.93 | 2 | 0.03 | 0.15 |
L Cerebellum Cortex | 47383 (6330) | 48115 (7865) | 45270 (5403) | 48514 (5128) | 1.19 | 2 | 0.01 | 0.31 |
L Thalamus | 6907 (935) | 6989 (718) | 6589 (1044) | 7103 (976) | 1.02 | 2 | 0.01 | 0.37 |
L Caudate | 3661 (479) | 3694 (426) | 3432 (490) | 3825 (453) | 3.51 | 2 | 0.06 | 0.03 * |
L Putamen | 6147 (804) | 6244 (605) | 5999 (937) | 6184 (852) | 0.02 | 2 | 0.00 | 0.98 |
L Pallidum | 1763 (291) | 1811 (234) | 1712 (364) | 1762 (273) | 0.11 | 2 | 0.00 | 0.89 |
L Hippocampus | 3678 (441) | 3699 (387) | 3604 (445) | 3722 (490) | 0.15 | 2 | 0.00 | 0.86 |
L Amygdala | 1414 (248) | 1431 (265) | 1334 (154) | 1467 (284) | 0.69 | 2 | 0.01 | 0.50 |
L Accumbens | 700 (158) | 733 (163) | 681 (161) | 686 (152) | 0.43 | 2 | 0.01 | 0.65 |
R Cerebellum White Matter | 14240 (2170) | 14774 (2137) | 13140 (1715) | 14688 (2266) | 2.37 | 2 | 0.04 | 0.10 |
R Cerebellum Cortex | 48118 (6514) | 48909 (8419) | 45891 (5032) | 49292 (5232) | 1.22 | 2 | 0.01 | 0.30 |
R Thalamus | 6730 (905) | 6812 (798) | 6495 (1033) | 6854 (873) | 0.49 | 2 | 0.00 | 0.62 |
R Caudate | 3888 (518) | 3957 (436) | 3651 (535) | 4026 (520) | 2.57 | 2 | 0.04 | 0.08 |
R Putamen | 5950 (837) | 6120 (724) | 5811 (939) | 5912 (845) | 0.27 | 2 | 0.00 | 0.76 |
R Pallidum | 1856 (319) | 1901 (245) | 1836 (402) | 1831 (305) | 0.34 | 2 | 0.01 | 0.71 |
R Hippocampus | 3783 (433) | 3800 (357) | 3706 (465) | 3832 (475) | 0.37 | 2 | 0.01 | 0.69 |
R Amygdala | 1633 (302) | 1642 (309) | 1573 (213) | 1675 (356) | 0.22 | 2 | 0.00 | 0.80 |
R Accumbens | 675 (138) | 711 (130) | 651 (127) | 662 (152) | 0.77 | 2 | 0.01 | 0.47 |
L Banks of the superior temporal sulcus | 976 (179) | 993 (201) | 927 (128) | 1003 (193) | 0.17 | 2 | 0.00 | 0.84 |
L Caudal anterior cingulate | 635 (159) | 678 (201) | 617 (131) | 611 (130) | 2.26 | 2 | 0.03 | 0.11 |
L Caudal middle frontal | 2264 (358) | 2203 (345) | 2223 (350) | 2355 (371) | 2.90 | 2 | 0.04 | 0.06 |
L Cuneus | 1360 (262) | 1291 (269) | 1347 (240) | 1434 (261) | 4.25 | 2 | 0.07 | 0.02 * |
L Entorhinal | 375 (84) | 366 (70) | 349 (80) | 406 (91) | 3.10 | 2 | 0.05 | 0.05 |
L Fusiform | 3157 (510) | 3258 (479) | 2940 (483) | 3247 (518) | 1.14 | 2 | 0.01 | 0.33 |
L Inferior parietal | 4498 (746) | 4519 (856) | 4404 (772) | 4558 (624) | 0.83 | 2 | 0.01 | 0.44 |
L Inferior temporal | 3125 (570) | 3119 (635) | 2986 (549) | 3249 (513) | 0.99 | 2 | 0.01 | 0.38 |
L Isthmus cingulate | 1009 (174) | 1051 (186) | 941 (169) | 1028 (155) | 0.71 | 2 | 0.01 | 0.49 |
L Lateral occipital | 4676 (718) | 4599 (581) | 4485 (704) | 4912 (801) | 3.19 | 2 | 0.04 | 0.05 * |
L Lateral orbital frontal | 2501 (374) | 2491 (333) | 2384 (350) | 2610 (410) | 1.94 | 2 | 0.03 | 0.15 |
L Lingual | 2922 (477) | 2999 (429) | 2756 (475) | 2993 (499) | 0.62 | 2 | 0.01 | 0.54 |
L Medial orbital frontal | 1846 (281) | 1917 (234) | 1750 (333) | 1861 (258) | 0.66 | 2 | 0.01 | 0.52 |
L Middle temporal | 2966 (481) | 2972 (489) | 2839 (488) | 3069 (458) | 1.14 | 2 | 0.01 | 0.32 |
L Parahippocampal | 690 (110) | 717 (122) | 636 (96) | 712 (96) | 2.33 | 2 | 0.04 | 0.10 |
L Paracentral | 1376 (226) | 1405 (216) | 1370 (192) | 1355 (264) | 1.25 | 2 | 0.02 | 0.29 |
L Pars opercularis | 1600 (259) | 1614 (287) | 1541 (193) | 1636 (279) | 0.27 | 2 | 0.01 | 0.76 |
L Pars orbitalis | 613 (99) | 618 (88) | 583 (107) | 635 (99) | 0.83 | 2 | 0.01 | 0.44 |
L Pars triangularis | 1265 (216) | 1280 (218) | 1206 (165) | 1303 (246) | 0.55 | 2 | 0.01 | 0.58 |
L Pericalcarine | 1283 (268) | 1259 (245) | 1236 (254) | 1346 (295) | 1.18 | 2 | 0.02 | 0.31 |
L Postcentral gyrus | 4036 (563) | 4074 (619) | 3864 (442) | 4150 (585) | 0.54 | 2 | 0.01 | 0.59 |
L Posterior cingulate | 1177 (212) | 1207 (271) | 1141 (169) | 1181 (185) | 0.38 | 2 | 0.01 | 0.69 |
L Precentral | 4843 (691) | 4890 (624) | 4545 (570) | 5056 (773) | 2.29 | 2 | 0.03 | 0.11 |
L Precuneus | 3677 (550) | 3747 (531) | 3482 (543) | 3778 (550) | 0.54 | 2 | 0.01 | 0.59 |
L Rostral anterior cingulate | 811 (204) | 810 (241) | 772 (178) | 844 (190) | 1.04 | 2 | 0.01 | 0.36 |
L Rostral middle frontal | 5548 (944) | 5592 (766) | 5175 (947) | 5827 (1014) | 2.50 | 2 | 0.02 | 0.09 |
L Superior frontal | 7066 (998) | 7072 (925) | 6719 (874) | 7359 (1097) | 2.19 | 2 | 0.03 | 0.12 |
L Superior parietal | 5263 (719) | 5359 (713) | 4973 (580) | 5422 (780) | 0.86 | 2 | 0.01 | 0.43 |
L Superior temporal | 3726 (556) | 3755 (570) | 3529 (630) | 3868 (433) | 1.52 | 2 | 0.02 | 0.22 |
L Supramarginal | 3666 (587) | 3762 (656) | 3547 (624) | 3678 (483) | 0.40 | 2 | 0.00 | 0.67 |
L Frontal pole | 214 (37) | 211 (38) | 207 (31) | 222 (41) | 1.10 | 2 | 0.02 | 0.34 |
L Temporal pole | 485 (69) | 484 (71) | 470 (69) | 500 (66) | 0.86 | 2 | 0.02 | 0.43 |
L Transverse temporal | 454 (83) | 454 (90) | 428 (87) | 475 (68) | 1.01 | 2 | 0.02 | 0.37 |
L Insula | 2094 (298) | 2088 (257) | 1986 (229) | 2193 (355) | 2.25 | 2 | 0.03 | 0.11 |
R Banks of the superior temporal sulcus | 932 (187) | 928 (186) | 882 (183) | 980 (186) | 1.19 | 2 | 0.02 | 0.31 |
R Caudal anterior cingulate | 732 (160) | 746 (168) | 675 (109) | 769 (178) | 0.72 | 2 | 0.01 | 0.49 |
R Caudal middle frontal | 2070 (360) | 2028 (396) | 2022 (333) | 2150 (345) | 1.43 | 2 | 0.02 | 0.25 |
R Cuneus | 1452 (208) | 1462 (207) | 1405 (213) | 1484 (204) | 0.32 | 2 | 0.00 | 0.73 |
R Entorhinal | 322 (90) | 302 (73) | 310 (69) | 350 (114) | 2.70 | 2 | 0.05 | 0.07 |
R Fusiform | 3047 (549) | 3158 (542) | 2901 (523) | 3069 (570) | 0.13 | 2 | 0.00 | 0.88 |
R Inferior parietal | 5255 (887) | 5359 (951) | 5052 (833) | 5333 (874) | 0.05 | 2 | 0.00 | 0.95 |
R Inferior temporal | 2917 (534) | 2857 (585) | 2886 (490) | 3001 (530) | 3.57 | 2 | 0.04 | 0.03 * |
R Isthmus cingulate | 957 (172) | 977 (151) | 908 (162) | 981 (193) | 0.05 | 2 | 0.00 | 0.95 |
R Lateral occipital | 4556 (748) | 4518 (575) | 4264 (727) | 4840 (822) | 4.09 | 2 | 0.05 | 0.02 * |
R Lateral orbital frontal | 2520 (353) | 2550 (356) | 2380 (366) | 2612 (312) | 1.61 | 2 | 0.02 | 0.21 |
R Lingual | 2937 (421) | 2962 (396) | 2776 (432) | 3052 (404) | 1.55 | 2 | 0.03 | 0.22 |
R Medial orbital frontal | 1833 (284) | 1842 (287) | 1739 (254) | 1906 (292) | 1.26 | 2 | 0.02 | 0.29 |
R Middle temporal | 3236 (540) | 3261 (566) | 3110 (506) | 3319 (543) | 0.86 | 2 | 0.01 | 0.43 |
R Parahippocampal | 661 (121) | 692 (117) | 625 (110) | 663 (128) | 0.55 | 2 | 0.01 | 0.58 |
R Paracentral | 1573 (272) | 1574 (313) | 1544 (226) | 1596 (274) | 0.46 | 2 | 0.01 | 0.64 |
R Pars opercularis | 1326 (240) | 1271 (202) | 1272 (220) | 1423 (264) | 5.18 | 2 | 0.08 | 0.01 * |
R Pars orbitalis | 761 (120) | 783 (131) | 714 (101) | 782 (118) | 0.93 | 2 | 0.02 | 0.40 |
R Pars triangularis | 1440 (255) | 1482 (257) | 1376 (210) | 1456 (284) | 0.27 | 2 | 0.01 | 0.76 |
R Pericalcarine | 1425 (278) | 1441 (271) | 1383 (282) | 1447 (288) | 0.04 | 2 | 0.00 | 0.96 |
R Postcentral gyrus | 3882 (557) | 3933 (612) | 3772 (566) | 3928 (499) | 0.54 | 2 | 0.01 | 0.58 |
R Posterior cingulate | 1154 (196) | 1184 (193) | 1121 (195) | 1153 (201) | 0.49 | 2 | 0.01 | 0.61 |
R Precentral | 4832 (677) | 4822 (708) | 4576 (541) | 5062 (694) | 3.12 | 2 | 0.04 | 0.05 |
R Precuneus | 3872 (572) | 3965 (573) | 3663 (575) | 3964 (539) | 0.37 | 2 | 0.00 | 0.69 |
R Rostral anterior cingulate | 644 (145) | 655 (157) | 614 (135) | 659 (144) | 0.08 | 2 | 0.00 | 0.92 |
R Rostral middle frontal | 5792 (870) | 5959 (775) | 5455 (916) | 5925 (860) | 0.42 | 2 | 0.00 | 0.66 |
R Superior frontal | 6932 (1015) | 6918 (936) | 6599 (881) | 7230 (1130) | 2.86 | 2 | 0.03 | 0.06 |
R Superior parietal | 5256 (665) | 5332 (712) | 4995 (661) | 5408 (576) | 0.95 | 2 | 0.01 | 0.39 |
R Superior temporal | 3552 (520) | 3612 (570) | 3356 (447) | 3664 (501) | 0.83 | 2 | 0.01 | 0.44 |
R Supramarginal | 3587 (616) | 3531 (600) | 3468 (604) | 3741 (631) | 2.72 | 2 | 0.03 | 0.07 |
R Frontal pole | 287 (45) | 282 (41) | 285 (46) | 292 (49) | 1.00 | 2 | 0.02 | 0.37 |
R Temporal pole | 425 (54) | 421 (62) | 419 (42) | 434 (56) | 0.71 | 2 | 0.01 | 0.49 |
R transverse temporal | 345 (69) | 351 (72) | 323 (58) | 359 (71) | 0.44 | 2 | 0.01 | 0.65 |
R insula | 2119 (329) | 2144 (360) | 2039 (288) | 2164 (330) | 0.16 | 2 | 0.00 | 0.85 |
3. Results
3.1. Subject characteristics
As we only analysed data from the first visit of patients with a confirmed diagnosis of schizophrenia we had 151 subjects. The mean age of these was 34.68 (sd = 12.72) and most were male (65.6%). Some were reportedly undergoing treatment, however detailed information on this was not made available to us. The sample was mainly Caucasian (51.7%), followed by African American (46.4%). The majority were unemployed at the time of assessment (69.9%).
3.2. Clustering
To decide how many clusters to use in the analysis, we used the silhouette method, which determines how well each observation lies within its cluster. It is a measurement of how closely the observation matches data within the cluster compared to other clusters. This method showed that the optimal number of clusters for the data was three (Figure 1). This first step was performed using the z-scored positive, negative and disorganized symptomatology dimensions from SANS/SAPS, along with the z-scored crystallised intelligence. After deciding the number of centres, we performed clustering in the data set using the same variables to train the algorithm, and 1000 starting random positions in the k-means algorithm. The resulting relationships can be seen in a scatterplot (Figure 2).
Figure 1.
The silhouette method determines how well each observation lies within its cluster. It is a measurement of how closely the observation matches data within the cluster compared to other clusters. This method showed that the optimal number of clusters for the data was three.
Figure 2.
Scatterplots between the z-scored positive, negative and disorganized domains; and the z-scored crystallised intelligence (IQ) used in the clustering method. The top right scatterplot shows the uniqueness of the three clusters clearly, note that since the z-scored data was used (these are not raw test scores) and values range from negative to positive.
The three groups appear to represent subjects who have either high positive symptomatology (n = 49), low positive symptomatology (n = 47), or high cognitive performance (n = 55), referred to as high positive, low positive and performance hereafter (Figure 2). The groups did not differ on age, sex, ethnicity, number of siblings and father schooling level (Table 1).
Table 1.
Mean (Standard deviation) and differences for demographic variables. P-values were calculated between the three categories (the overall column was not used) with chi-square contingence table test for the categorical variables and one-way ANOVA for the continuous variables.
Overall | low-positive | high-positive | performance | p | |
---|---|---|---|---|---|
n | 151 | 47 | 49 | 55 | |
age | 34.68 (12.72) | 34.98 (12.59) | 33.22 (12.86) | 35.71 (12.82) | 0.601 |
sex = male (%) | 99 (65.6) | 32 (68.1) | 30 (61.2) | 37 (67.3) | 0.736 |
handedness (%) | 0.492 | ||||
4 (2.6) | 1 (2.1) | 0 (0.0) | 3 (5.5) | ||
left | 13 (8.6) | 5 (10.6) | 4 (8.2) | 4 (7.3) | |
right | 134 (88.7) | 41 (87.2) | 45 (91.8) | 48 (87.3) | |
race (%) | <0.001 | ||||
Caucasian | 78 (51.7) | 32 (68.1) | 31 (63.3) | 15 (27.3) | |
African American | 70 (46.4) | 14 (29.8) | 17 (34.7) | 39 (70.9) | |
Hispanic | 1 (0.7) | 0 (0.0) | 1 (2.0) | 0 (0.0) | |
Native American | 2 (1.3) | 1 (2.1) | 0 (0.0) | 1 (1.8) | |
ethnicity (%) | 0.778 | ||||
NA | 1 (0.7) | 0 (0.0) | 0 (0.0) | 1 (1.8) | |
Hispanic | 3 (2.0) | 1 (2.1) | 1 (2.0) | 1 (1.8) | |
Non-Hispanic | 147 (97.4) | 46 (97.9) | 48 (98.0) | 53 (96.4) | |
Marital Status (%) | |||||
Other | 3 (2.0) | 0 (0.0) | 1 (2.0) | 2 (3.7) | |
Single | 114 (76.0) | 38 (80.9) | 37 (75.5) | 39 (72.2) | |
Married/common law | 6 (4.0) | 4 (8.5) | 1 (2.0) | 1 (1.9) | |
Divorced | 21 (14.0) | 5 (10.6) | 7 (14.3) | 9 (16.7) | |
Separated | 2 (1.3) | 0 (0.0) | 1 (2.0) | 1 (1.9) | |
Widowed | 0 (0.0) | 0 (0.0) | 0 (0.0) | 0 (0.0) | |
Unknown | 4 (2.7) | 0 (0.0) | 2 (4.1) | 2 (3.7) | |
Siblings Number | 3.18 (2.52) | 3.81 (2.65) | 3.13 (2.17) | 2.65 (2.60) | 0.073 |
Number Of Children | 0.73 (1.53) | 1.04 (2.07) | 0.79 (1.30) | 0.39 (1.02) | 0.105 |
Employment Status (%) | |||||
Other | 5 (3.5) | 2 (4.3) | 1 (2.2) | 2 (3.9) | |
Employed full-time | 9 (6.3) | 4 (8.7) | 3 (6.5) | 2 (3.9) | |
Employed part-time | 17 (11.9) | 4 (8.7) | 6 (13.0) | 7 (13.7) | |
Unemployed | 100 (69.9) | 34 (73.9) | 34 (73.9) | 32 (62.7) | |
Homemaker full-time | 0 (0.0) | 0 (0.0) | 0 (0.0) | 0 (0.0) | |
Student full-time | 6 (4.2) | 0 (0.0) | 1 (2.2) | 5 (9.8) | |
Student part-time | 6 (4.2) | 2 (4.3) | 1 (2.2) | 3 (5.9) | |
Years Of Schooling | 12.21 (2.40) | 11.41 (1.71) | 11.43 (2.31) | 13.58 (2.43) | <0.001 |
Schooling Level Father | 12.74 (3.38) | 12.31 (2.29) | 12.43 (2.64) | 13.20 (4.24) | 0.475 |
Schooling Level Mother | 12.52 (3.12) | 11.70 (2.96) | 12.06 (3.46) | 13.31 (2.85) | 0.053 |
3.3. ANCOVAS and post hoc tests
ANCOVAS were performed with group as a factor and brain volumes as the dependent variables (Table 2). We found that six regions significantly differed between groups (Tables 3, 4, 5, 6, 7, 8): left caudate (F = 3.51, df = 2, η2 =0.06, p= 0.03), left cuneus (F= 4.25, df= 2, η2 = 0.07, p= 0.02), left lateral occipital (F = 3.19, df = 2, η2 = 0.04, p= 0.05), left inferior temporal (F = 3.57, df= 2, η2 = 0.04, p= 0.03), right lateral occipital (F=4.09, df= 2, η2 =0.05, p = 0.02), and right pars opercularis (F = 5.18, df= 2, η2 = 0.08, p = 0.01).
Table 3. Bonferroni corrected post hoc test for left caudate.
Cluster 1 | Cluster 2 | md | se | df | t | pbonferroni |
---|---|---|---|---|---|---|
low-positive | - high-positive | 114 | 107 | 73 | 1.1 | 0.86 |
low-positive | - performance | -160 | 101 | 73 | -1.6 | 0.35 |
high-positive | - performance | -274 | 105 | 73 | -2.6 | 0.03 |
Table 4. Bonferroni corrected post hoc test for left cuneus.
Cluster 1 | Cluster 2 | md | se | df | t | pbonferroni |
---|---|---|---|---|---|---|
low-positive | - high-positive | -140 | 62 | 73 | -2.27 | 0.08 |
low-positive | - performance | -157 | 58 | 73 | -2.71 | 0.03 |
high-positive | - performance | -17 | 60 | 73 | -0.28 | 1.00 |
Table 5. Bonferroni corrected post hoc test for left lateral occipital.
Cluster 1 | Cluster 2 | md | se | df | t | pbonferroni |
---|---|---|---|---|---|---|
low-positive | - high-positive | -159 | 150 | 73 | -1.1 | 0.88 |
low-positive | - performance | -354 | 141 | 73 | -2.5 | 0.04 |
high-positive | - performance | -195 | 147 | 73 | -1.3 | 0.56 |
Table 6. Bonferroni corrected post hoc test for right lateral occipital.
Cluster 1 | Cluster 2 | md | se | df | t | pbonferroni |
---|---|---|---|---|---|---|
low-positive | - high-positive | -259 | 101 | 73 | -2.57 | 0.04 |
low-positive | - performance | -181 | 95 | 73 | -1.91 | 0.18 |
high-positive | - performance | 78 | 99 | 73 | 0.79 | 1.00 |
Table 7. Bonferroni corrected post hoc test for right inferior temporal.
Cluster 1 | Cluster 2 | md | se | df | t | pbonferroni |
---|---|---|---|---|---|---|
low-positive | - high-positive | -34 | 149 | 73 | -0.23 | 1.00 |
low-positive | - performance | -362 | 140 | 73 | -2.60 | 0.03 |
high-positive | - performance | -329 | 146 | 73 | -2.26 | 0.08 |
Table 8. Bonferroni corrected post hoc test for right pars-opercularis.
Cluster 1 | Cluster 2 | md | se | df | t | pbonferroni |
---|---|---|---|---|---|---|
low-positive | - high-positive | -82 | 54 | 73 | -1.5 | 0.40 |
low-positive | - performance | -163 | 51 | 73 | -3.2 | 0.01 |
high-positive | - performance | -81 | 53 | 73 | -1.5 | 0.38 |
Bonferroni-corrected post hoc tests were run in order to inspect inter-group relationships. For the left caudate, there was a significant difference between the group with high positive symptomatology and the high performance group (se = 105, df = 73, t = -2.6, p = 0.03, Bonferroni corrected) (Table 3). The high positive symptomatology presented with smaller volumes than the performance group.
The left cuneus volumes had significant difference between groups (se = 58, df = 73, t = -2.71, p = 0.03, Bonferroni corrected) (Table 4). The low positive symptomatology group had smaller volumes than the performance group.
The low positive symptomatology group differed significantly from the high performance group (se = 147, df = 141, t = -2.5, p = 0.04, Bonferroni corrected) in relation to left lateral occipital (Table 5). Again, the low positive symptomatology group presented with smaller volume than the performance group.
For the right lateral occipital there were statistically significant differences between groups (se = 101, df = 73, t = -2.57, p = 0.04, Bonferroni corrected) (Table 6). The low positive symptomatology group had larger volumes than the positive symptomatology group.
In our tests the right inferior temporal region differed significantly between groups. The low positive symptomatology had smaller volumes than the performance group (se = 140, df = 73, t = -2.60, p = 0.03, Bonferroni corrected) (Table 7).
Finally, the right pars-opercularis was a region, which differed significantly between groups. The low positive symptomatology presented with smaller volumes than the performance group (se = 51, df = 73, t = -3.2, p = 0.01, Bonferroni corrected) (Table 8)
All our findings were of small effect sizes for each comparison (η2). The six significant areas were left caudate (F = 3.51, df = 2, η2 =0.06, p= 0.03), left cuneus (F= 4.25, df= 2, η2 = 0.07, p= 0.02), left lateral occipital (F = 3.19, df = 2, η2 = 0.04, p= 0.05), left inferior temporal (F = 3.57, df= 2, η2 = 0.04, p= 0.03), right lateral occipital (F=4.09, df= 2, η2 =0.05, p = 0.02), and right pars opercularis (F = 5.18, df= 2, η2 = 0.08, p = 0.01).
4. Discussion
We used a data-driven approach to classify subjects with schizophrenia in this analysis. The method creates clusters based on the properties of each subject. The properties used in the algorithm were cognitive performance and positive, negative and disorganized symptoms. This optimally divided into three clusters, which we then included in ANCOVAs as factors. Comparisons were run with brain regions volumes as dependent variables, controlling for age and for the estimated intracranial volume. We found six significant associations in the ANCOVAs, and then proceeded to investigate significance between the groups in a second step, Bonferroni-corrected post hoc tests. Effect sizes were calculated for each comparison.
It is likely the clusters identified in this study will overlap with previous subtypologies. Our high-performance group might be expected to align with the ‘good outcome’ groups long identified – those whose symptoms remit, rather then pursue a chronic course. Our other clusters found in this study are not clearly the “deficit” and “distress” subtypes from previous publications (Dickinson et al., 2018). Instead, as opposed to our high-performance group we found our deficit group was optimally separated by the “elbow” method into two distinct clusters, our high and low positive symptom groups. Recent attempts to find subgroups in schizophrenic subjects either used principal component analysis (Clementz et al., 2015) or the 2-step clustering from SPSS (Dickinson et al., 2018), but both of these arrived at a three-cluster solution. Dickinson et al. (2018) addressed affective symptomatology and found a high distress subgroup in their analysis. Our study did not evaluate affective symptoms, however we included clinical severity of psychotic symptoms. Despite differences on the indicator used, our tests suggested a three-cluster scheme as well. The deficit subtype has been the earliest (Ahmed et al., 2015; B Kirkpatrick and R W Buchanan, 1990) and most thoroughly analysed (Cohen et al., 2010), however we show that there is another dimension related to the severity of positive or negative symptomatology.
It now appears certain that multiple elements of small effect contribute to the schizophrenia syndrome (Castro-de-Araujo et al., 2018; Castro-de-Araujo and Kanaan, 2017), and, as expected, all the volumetric effect sizes were small. But the volumetric differences found in this paper corroborate previous findings. These volumes, except for the pars opercularis and lateral occipital gyrus, are reported to be abnormal in schizophrenia by meta-analysis (Honea et al., 2005). Furthermore, they may be critical to subtype differentiation, as Weinberg et al. (2016) found pars opercularis and inferior temporal regions to differ significantly between their three cognitive subtypes (preserved, moderately deteriorated and severely deteriorated). All post hoc Bonferroni corrected tests revealed at least one statistically significant inter-group difference. In all cases, the performance subgroup had larger volumes than the low positive and high positive groups. This is in line with what is known regarding volumetric alterations and cognitive performance (Weinberg et al., 2016). The k-means approach resulted in a high to low positive symptomatology distinction, along with the performance cluster. This should be related to the fact that negative symptomatology is strongly associated with “deficit” subtypes, which may have caused the algorithm not to identify it as unique (Ahmed et al., 2015). We interpret this as negative symptomatology not helping further reduce heterogeneity, as it should match cases with general low cognitive performance.
Traditional factor analytical methods have been used to investigate whether schizophrenic psychopathology sub-grouping presented with corresponding cognitive and cerebral changes. These supported schizophrenic sub-types: disorganized, psychotic and negative (Andreasen and Olsen, 1982; Andreasen et al., 1995; Liddle, 2019) and a “deficit” subtype (Dickinson et al. 2018). The present work presented a method that allowed the incorporation of cognitive performance in addition to positive and negative symptomatology in the clustering of the subjects, which is much less trivial in factor analyses. This approach reduces the dimensionality, while taking a larger group of factors into account. A recent study compared the performance of factor analytical and clustering methods in subjects with obsessive-compulsive disorder, showing that clustering arrived at similar results to the more traditional factor analyses (Cameron et al., 2019).
Some limitations of the study should be noted. Not all volumes had a normal distribution, therefore ANCOVA’s assumptions of normality were partially violated. Since we used a publicly available data set, the demographic information was limited due to privacy. Especially concerning was the absence of information regarding treatment history, since we could not therefore control for the chronicity and duration of the disease, which might have influenced the clustering algorithm. Also, due to the cross-sectional nature of our approach, the stability of these groups over time could not be assessed. However, as we used a publicly available data set, our results should be easy to reproduce.
K-means clustering is an easily available method for clustering, which can potentially facilitate subgrouping disorders in an unsupervised way. The heterogeneity of the symptomatology, course, and associated factors in schizophrenia makes subgrouping the condition a difficult task. There is already evidence that cognitive performance seems to help identify a clinically relevant group, and we show in this paper how grouping can be done using symptom severity in addition. We believe that k-means clustering, which is neutral to the type of indicator used, may help identify subgroups that are biologically plausible.
Footnotes
Contributors
Author CASTRO-DE-ARAUJO designed the study and the statistical analysis. Authors MACHADO and BARRETO helped in writing the manuscript. Author KANAAN provided supervision and helped in writing the manuscript. All authors contributed to and have approved the final manuscript.
Conflict of Interest
Authors report no conflicts of interest.
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