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Archival Report| Volume 88, ISSUE 4, P349-360, August 15, 2020

Individualized Diagnostic and Prognostic Models for Patients With Psychosis Risk Syndromes: A Meta-analytic View on the State of the Art

  • Author Footnotes
    1 RS and DBD contributed equally to this work.
    Rachele Sanfelici
    Footnotes
    1 RS and DBD contributed equally to this work.
    Affiliations
    Department of Psychiatry and Psychotherapy, Ludwig-Maximilian-University Munich, Germany

    Max Planck School of Cognition, Leipzig, Germany
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  • Author Footnotes
    1 RS and DBD contributed equally to this work.
    Dominic B. Dwyer
    Footnotes
    1 RS and DBD contributed equally to this work.
    Affiliations
    Department of Psychiatry and Psychotherapy, Ludwig-Maximilian-University Munich, Germany
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  • Linda A. Antonucci
    Affiliations
    Department of Psychiatry and Psychotherapy, Ludwig-Maximilian-University Munich, Germany

    Department of Education, Psychology, and Communication, University of Bari “Aldo Moro,” Bari, Italy
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  • Nikolaos Koutsouleris
    Correspondence
    Address correspondence to Nikolaos Koutsouleris, M.D., Department of Psychiatry and Psychotherapy, Ludwig-Maximilian-University, Nussbaumstr. 7, D-80336 Munich, Germany.
    Affiliations
    Department of Psychiatry and Psychotherapy, Ludwig-Maximilian-University Munich, Germany

    Max Planck Institute of Psychiatry Munich, Munich, Germany
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  • Author Footnotes
    1 RS and DBD contributed equally to this work.
Open AccessPublished:February 19, 2020DOI:https://doi.org/10.1016/j.biopsych.2020.02.009

      Abstract

      Background

      The clinical high risk (CHR) paradigm has facilitated research into the underpinnings of help-seeking individuals at risk for developing psychosis, aiming at predicting and possibly preventing transition to the overt disorder. Statistical methods such as machine learning and Cox regression have provided the methodological basis for this research by enabling the construction of diagnostic models (i.e., distinguishing CHR individuals from healthy individuals) and prognostic models (i.e., predicting a future outcome) based on different data modalities, including clinical, neurocognitive, and neurobiological data. However, their translation to clinical practice is still hindered by the high heterogeneity of both CHR populations and methodologies applied.

      Methods

      We systematically reviewed the literature on diagnostic and prognostic models built on Cox regression and machine learning. Furthermore, we conducted a meta-analysis on prediction performances investigating heterogeneity of methodological approaches and data modality.

      Results

      A total of 44 articles were included, covering 3707 individuals for prognostic studies and 1052 individuals for diagnostic studies (572 CHR patients and 480 healthy control subjects). CHR patients could be classified against healthy control subjects with 78% sensitivity and 77% specificity. Across prognostic models, sensitivity reached 67% and specificity reached 78%. Machine learning models outperformed those applying Cox regression by 10% sensitivity. There was a publication bias for prognostic studies yet no other moderator effects.

      Conclusions

      Our results may be driven by substantial clinical and methodological heterogeneity currently affecting several aspects of the CHR field and limiting the clinical implementability of the proposed models. We discuss conceptual and methodological harmonization strategies to facilitate more reliable and generalizable models for future clinical practice.

      Keywords

      Psychotic disorders are among the most disabling mental illnesses and represent one of the top 20% causes of socioeconomic burden worldwide (
      • Vigo D.
      • Thornicroft G.
      • Atun R.
      Estimating the true global burden of mental illness.
      ). Therefore, psychiatric research has substantially invested in better early detection strategies for these disorders (
      • Fusar-Poli P.
      • Hijazi Z.
      • Stahl D.
      • Steyerberg E.W.
      The science of prognosis in psychiatry: A review.
      ). The clinical high risk (CHR) concept (
      • Fusar-Poli P.
      • Borgwardt S.
      • Bechdolf A.
      • Addington J.
      • Riecher-Rössler A.
      • Schultze-Lutter F.
      • et al.
      The psychosis at risk state: A comprehensive state-of-the-art review.
      ) describes a mental state characterized by subthreshold psychotic symptoms that differ quantitatively in their intensity from those of a full-blown psychosis (Supplement and Table 1). The CHR paradigm has become a well-established clinical avenue to early detect and potentially treat the psychosis high-risk states. Based on the CHR paradigm, researchers have investigated the nature of the prepsychotic phase from both pathophysiological and epidemiological perspectives (
      • Riecher-Rössler A.
      • Studerus E.
      Prediction of conversion to psychosis in individuals with an at-risk mental state: A brief update on recent developments.
      ,
      • Studerus E.
      • Ramyead A.
      • Riecher-Rössler A.
      Prediction of transition to psychosis in patients with a clinical high risk for psychosis: A systematic review of methodology and reporting.
      ). However, these efforts have been challenged by a constantly declining incidence rate of psychosis among CHR patients (
      • Riecher-Rössler A.
      • Studerus E.
      Prediction of conversion to psychosis in individuals with an at-risk mental state: A brief update on recent developments.
      ,
      • Fusar-Poli P.
      • Bonoldi I.
      • Yung A.R.
      • Borgwardt S.
      • Kempton M.J.
      • Valmaggia L.
      • et al.
      Predicting psychosis.
      ), with roughly one third of not-transitioned CHR cases still experiencing subthreshold symptoms, psychosocial impairments (
      • Beck K.
      • Andreou C.
      • Studerus E.
      • Heitz U.
      • Ittig S.
      • Leanza L.
      • Riecher-Rössler A.
      Clinical and functional long-term outcome of patients at clinical high risk (CHR) for psychosis without transition to psychosis: A systematic review.
      ), and lower level of quality of life (
      • Fusar-Poli P.
      • Rocchetti M.
      • Sardella A.
      • Avila A.
      • Brandizzi M.
      • Caverzasi E.
      • et al.
      Disorder, not just state of risk: Meta-analysis of functioning and quality of life in people at high risk of psychosis.
      ). Thus, the CHR designation delineates a mental condition that is burdensome per se and, in addition, is associated with a known set of comorbidities (e.g., depression, substance abuse, anxiety disorders) (
      • Fusar-Poli P.
      • Rutigliano G.
      • Stahl D.
      • Davies C.
      • Bonoldi I.
      • Reilly T.
      • McGuire P.
      Development and validation of a clinically based risk calculator for the transdiagnostic prediction of psychosis.
      ). Therefore, predictive psychiatry has gradually broadened its scope from detecting disease transition to encompassing adverse outcomes more broadly [e.g., functional deficits (
      • Koutsouleris N.
      • Kambeitz-Ilankovic L.
      • Ruhrmann S.
      • Rosen M.
      • Ruef A.
      • Dwyer D.B.
      • et al.
      Prediction models of functional outcomes for individuals in the clinical high-risk state for psychosis or with recent-onset depression: A multimodal, multisite machine learning analysis.
      ), treatment response (
      • Amminger G.P.
      • Mechelli A.
      • Rice S.
      • Kim S.W.
      • Klier C.M.
      • McNamara R.K.
      • et al.
      Predictors of treatment response in young people at ultra-high risk for psychosis who received long-chain omega-3 fatty acids.
      ), persisting negative symptoms (
      • Yung A.R.
      • Nelson B.
      • McGorry P.D.
      • Wood S.J.
      • Lin A.
      Persistent negative symptoms in individuals at ultra high risk for psychosis.
      ), psychiatric comorbidities (
      • Rutigliano G.
      • Valmaggia L.
      • Landi P.
      • Frascarelli M.
      • Cappucciati M.
      • Sear V.
      • et al.
      Persistence or recurrence of non-psychotic comorbid mental disorders associated with 6-year poor functional outcomes in patients at ultra high risk for psychosis.
      )].
      Considering that clinical CHR instruments alone detect only about 47% of transitions after 3 years (
      • Fusar-Poli P.
      • Cappucciati M.
      • Borgwardt S.
      • Woods S.W.
      • Addington J.
      • Nelson B.
      • et al.
      Heterogeneity of psychosis risk within individuals at clinical high risk: A meta-analytical stratification.
      ), efforts have been made to identify potential risk factors for psychosis in several symptomatological and biological readouts, or biomarkers, of the disorder (
      • Addington J.
      • Farris M.
      • Stowkowy J.
      • Santesteban-Echarri O.
      • Metzak P.
      • Kalathil M.S.
      Predictors of transition to psychosis in individuals at clinical high risk.
      ) so that individualized prognostication may be enhanced. The presence of environmental adverse events (
      • Fusar-Poli P.
      • Tantardini M.
      • De Simone S.
      • Ramella-Cravaro V.
      • Oliver D.
      • Kingdon J.
      • et al.
      Deconstructing vulnerability for psychosis: Meta-analysis of environmental risk factors for psychosis in subjects at ultra high-risk.
      ), cognitive impairments (
      • Seidman L.J.
      • Shapiro D.I.
      • Stone W.S.
      • Woodberry K.A.
      • Ronzio A.
      • Cornblatt B.A.
      • et al.
      Association of neurocognition with transition to psychosis: Baseline functioning in the second phase of the North American Prodrome Longitudinal Study.
      ), neuromorphological (
      • Gifford G.
      • Crossley N.
      • Fusar-Poli P.
      • Schnack H.G.
      • Kahn R.S.
      • Koutsouleris N.
      • et al.
      Using neuroimaging to help predict the onset of psychosis.
      ), and electrophysiological (
      • Perez V.B.
      • Woods S.W.
      • Roach B.J.
      • Ford J.M.
      • McGlashan T.H.
      • Srihari V.H.
      • Mathalon D.H.
      Automatic auditory processing deficits in schizophrenia and clinical high-risk patients: Forecasting psychosis risk with mismatch negativity.
      ) and hematological (
      • Perkins D.O.
      • Jeffries C.D.
      • Addington J.
      • Bearden C.E.
      • Cadenhead K.S.
      • Cannon T.D.
      • et al.
      Towards a psychosis risk blood diagnostic for persons experiencing high-risk symptoms: Preliminary results from the NAPLS project.
      ) alterations, as well as resting-state (
      • Anticevic A.
      • Haut K.
      • Murray J.D.
      • Repovs G.
      • Yang G.J.
      • Diehl C.
      • et al.
      Association of thalamic dysconnectivity and conversion to psychosis in youth and young adults at elevated clinical risk.
      ) and task-related (
      • Antonucci L.A.
      • Penzel N.
      • Pergola G.
      • Kambeitz-Ilankovic L.
      • Dwyer D.
      • Kambeitz J.
      • et al.
      Multivariate classification of schizophrenia and its familial risk based on load-dependent attentional control brain functional connectivity.
      ) neural activity and connectivity anomalies, has been consistently reported in people at risk for psychosis compared with healthy individuals. Some of these phenotypes have been associated with both disease course and transition to the overt disease (
      • Riecher-Rössler A.
      • Studerus E.
      Prediction of conversion to psychosis in individuals with an at-risk mental state: A brief update on recent developments.
      ). Therefore, the identification of reliable markers able to distinguish between at-risk and healthy populations may be potentially useful in clinical practice to monitor disease development and treatment outcome (
      • Antonucci L.A.
      • Pergola G.
      • Pigoni A.
      • Dwyer D.
      • Kambeitz-Ilankovic L.
      • Penzel N.
      • et al.
      A pattern of cognitive deficits stratified for genetic and environmental risk reliably classifies patients with schizophrenia from healthy controls.
      ) and to obviate time-consuming CHR assessments. The two prevailing statistical approaches to address the challenge of single-subject prediction are machine learning (ML) methods (e.g., support vector machine, LASSO [least absolute shrinkage and selection operator] regression, random forest), which can handle large databases and different data domains (
      • Bzdok D.
      • Meyer-Lindenberg A.
      Machine learning for precision psychiatry: Opportunities and challenges.
      ,
      • Dwyer D.B.
      • Falkai P.
      • Koutsouleris N.
      Machine learning approaches for clinical psychology and psychiatry.
      ), and Cox proportional hazard regression, a form of multivariate survival analysis (
      • Cox D.R.
      Regression models and life-tables.
      ) able to investigate time-to-conversion trajectories. Recent research applying these methods has produced prognostic models able to stratify CHR patients into different risk classes according to their pretest risk enrichment (
      • Fusar-Poli P.
      • Rutigliano G.
      • Stahl D.
      • Schmidt A.
      • Ramella-Cravaro V.
      • Hitesh S.
      • McGuire P.
      Deconstructing pretest risk enrichment to optimize prediction of psychosis in individuals at clinical high risk.
      ) or a set of combined predictors (
      • Cannon T.D.
      • Yu C.
      • Addington J.
      • Bearden C.E.
      • Cadenhead K.S.
      • Cornblatt B.A.
      • et al.
      An individualized risk calculator for research in prodromal psychosis.
      ,
      • Schmidt A.
      • Cappucciati M.
      • Radua J.
      • Rutigliano G.
      • Rocchetti M.
      • Dell’Osso L.
      • et al.
      Improving prognostic accuracy in subjects at clinical high risk for psychosis: Systematic review of predictive models and meta-analytical sequential testing simulation.
      ), or to predict patients’ functional outcomes based on different data modalities with performance accuracies of up to 83% (
      • Koutsouleris N.
      • Kambeitz-Ilankovic L.
      • Ruhrmann S.
      • Rosen M.
      • Ruef A.
      • Dwyer D.B.
      • et al.
      Prediction models of functional outcomes for individuals in the clinical high-risk state for psychosis or with recent-onset depression: A multimodal, multisite machine learning analysis.
      ,
      • de Wit S.
      • Ziermans T.B.
      • Nieuwenhuis M.
      • Schothorst P.F.
      • van Engeland H.
      • Kahn R.S.
      • et al.
      Individual prediction of long-term outcome in adolescents at ultra-high risk for psychosis: Applying machine learning techniques to brain imaging data.
      ). Despite the great potential of these models, their applicability is still hindered by the methodological heterogeneity in the field. Indeed, CHR patients are identified by several clinical instruments and are characterized by subtypes with different levels of risk (
      • Fusar-Poli P.
      • Cappucciati M.
      • Borgwardt S.
      • Woods S.W.
      • Addington J.
      • Nelson B.
      • et al.
      Heterogeneity of psychosis risk within individuals at clinical high risk: A meta-analytical stratification.
      ). Moreover, models’ generalizability has been assessed through discrepant validation strategies across studies, ranging from the less replicable (i.e., single-site cross-validation [CV]) to the most robust (i.e., validation to external samples) (
      • Dwyer D.B.
      • Falkai P.
      • Koutsouleris N.
      Machine learning approaches for clinical psychology and psychiatry.
      ). Thus, methodological approaches still lack standardized validation strategies testing clinical applicability under real-world conditions. One way to tackle these issues is to use a meta-analytic approach to quantitatively investigate models’ performance across different outcomes, algorithms, and data modalities. Although important contributions to this goal have been made (
      • Studerus E.
      • Ramyead A.
      • Riecher-Rössler A.
      Prediction of transition to psychosis in patients with a clinical high risk for psychosis: A systematic review of methodology and reporting.
      ,
      • Schmidt A.
      • Cappucciati M.
      • Radua J.
      • Rutigliano G.
      • Rocchetti M.
      • Dell’Osso L.
      • et al.
      Improving prognostic accuracy in subjects at clinical high risk for psychosis: Systematic review of predictive models and meta-analytical sequential testing simulation.
      ,
      • Strobl E.V.
      • Eack S.M.
      • Swaminathan V.
      • Visweswaran S.
      Predicting the risk of psychosis onset: Advances and prospects.
      ), to the best of our knowledge, the field is still lacking such an analysis. Investigating the field’s heterogeneity would allow a comprehensive assessment of accuracy and validity of the existing diagnostic and prognostic models, an important prerequisite for establishing reliable tools for psychosis risk quantification in clinical care.
      Our aim was to review the literature on ML-based and Cox regression–based diagnostic models (i.e., discriminating CHR individuals from healthy individuals) and prognostic models (i.e., predictive approaches for transition or negative outcomes). Furthermore, we performed a meta-analysis of models’ performance, with the aim of investigating the effects of 1) data modality, 2) type of algorithm, and 3) validation paradigms. We expected that our results would elucidate the complexity of methods and data domains currently used in the predictive analytics arm of CHR research. This will facilitate a deeper understanding of the state of the art within the field and may clarify the bottlenecks impeding clinical translation.

      Methods and Materials

      Literature Search

      We conducted a systematic search of published original articles in English through June 30, 2019, using a range of search terms in PubMed and Scopus as well as reference lists of the included articles (Supplement). We selected studies that reported prognostic or diagnostic models constructed using ML or Cox proportional hazard regression. Concerning diagnostic models, we included only those that used healthy control subjects (HCs) as a reference group to enlarge the sample size by selecting comparable classification models across studies. CHR included patients with a psychosis risk syndrome categorized as CHR, ultra high risk (UHR), or at-risk mental states (Table 1) as well as those with a familial risk (FR) or 22q11.2 deletion syndrome (22q11.2DS). Studies were included if measures of performance accuracy were reported (i.e., true positives [TP], false positives [FP], true negatives [TN], and false negatives [FN]) or if they could be extracted. Results of the literature search are illustrated in the PRISMA (Preferred Reporting Items for Systematic Reviews and Meta-analyses) flowchart (
      • Moher D.
      • Liberati A.
      • Tetzlaff J.
      • Altman D.G.
      PRISMA Group
      Preferred reporting items for systematic reviews and meta-analyses: The PRISMA statement.
      ) (Figure S1).
      Table 1Definitions of Different Psychosis Risk Syndromes Commonly Referred to as CHR States and Descriptions of the Abbreviations and Respective Clinical Diagnostic Instruments
      ConceptDescriptionInstruments
      CHRClinical high risk: psychosis risk syndrome operationalized by UHR, BS, or both diagnostic criteriaAll instruments below
      ARMSAt-risk mental state: same as the CHR state
      UHRUltra high risk: psychosis risk syndrome described by the fulfillment of APS, BLIP, or GRDS criteriaSIPS, SOPS, CAARMS

      APSAttenuated psychotic symptoms: subthreshold psychotic symptoms
      BLIPSBrief limited intermittent psychotic symptoms: full-blown psychotic symptoms present for a maximum of a week
      GRDSGenetic risk and deterioration syndrome: family history of psychosis or schizotypal personality and drop in functioning or sustained low functioning
      Drop in functioning is described 1) in the CAARMS as a Social and Occupational Functioning Assessment Scale (SOFAS) score ≤30% compared with the previous functioning, within the last year, and for at least 1 month and 2) in the SIPS/SOPS as a 30% decrease in the Global Assessment of Functioning scale score from premorbid baseline. A sustained low functioning is defined only in the CAARMS as a SOFAS score ≤50 in the past year or longer.
      BSBasic symptoms: subjective disturbances of cognitive, affective, and perceptive natureBSABS
      COGDISCognitive disturbances: 9 BS describing disturbances of cognitive natureSPI-A/SPI-CY
      COPERCognitive-perceptive symptoms: 10 BS describing disturbances of a cognitive-perceptual nature
      UPSUnspecific prodromal symptoms: unspecific attenuated symptoms characterizing a low-risk stateBSIP
      BSABS, Bonn Scale for the Assessment of Basic Symptoms; BSIP, Basel Screening Instrument for Psychosis; CAARMS, Comprehensive Assessment of the At-Risk Mental State; SIPS, Structured Interview for the Prodromal Syndrome; SOPS, Scale of Prodromal Symptoms; SPI-A/SPI-CY; Schizophrenia Proneness Instrument–Adult version/Schizophrenia Proneness Instrument–Child and Youth version.
      a Drop in functioning is described 1) in the CAARMS as a Social and Occupational Functioning Assessment Scale (SOFAS) score ≤30% compared with the previous functioning, within the last year, and for at least 1 month and 2) in the SIPS/SOPS as a 30% decrease in the Global Assessment of Functioning scale score from premorbid baseline. A sustained low functioning is defined only in the CAARMS as a SOFAS score ≤50 in the past year or longer.
      A comprehensive list of all variables extracted by each study is reported in the Supplement (second section). Performance accuracy measures used for analyses comprised TP, FN, TN, FP, sensitivity (SE) [TP/(TP + FN)], and specificity (SP) [TN/(TN + FP)].

      Data Analysis

      The meta-analysis of diagnostic models was conducted following previous work (
      • Kambeitz J.
      • Cabral C.
      • Sacchet M.D.
      • Gotlib I.H.
      • Zahn R.
      • Serpa M.H.
      • et al.
      Detecting neuroimaging biomarkers for depression: A meta-analysis of multivariate pattern recognition studies.
      ). Extracted SE and SP were converted to a confusion matrix tabulated across studies. Publication bias was assessed with both overall diagnostic odds ratio and SE. The Deeks et al. (
      • Deeks J.J.
      • Macaskill P.
      • Irwig L.
      The performance of tests of publication bias and other sample size effects in systematic reviews of diagnostic test accuracy was assessed.
      ) method was used to account for biases associated with unequal proportions of TP and TN cases (Supplement).
      Models were built using the bivariate random effects modeling of Reitsma et al. (2005) (
      • Reitsma J.B.
      • Glas A.S.
      • Rutjes A.W.S.
      • Scholten R.J.P.M.
      • Bossuyt P.M.
      • Zwinderman A.H.
      Bivariate analysis of sensitivity and specificity produces informative summary measures in diagnostic reviews.
      ) in the mada R package (version 0.5.8), which permits the analysis of SE and SP separately by explicitly accounting for correlations between each measure, incorporating precision estimates arising from sample size differences (i.e., more precision with higher weight), and modeling normal distributions of each with a random effects approach. This bivariate method was used to produce summary estimates of SE, SP, and confidence intervals (CIs) that were used in forest plots, in addition to the analysis of moderators using mixed modeling. Moderators were age, sex, data modality, algorithm, presence of CV, type of CHR, being a multisite study, and year of publication. For prognostic studies, we also investigated follow-up time and prognostic target. Moderator analyses were conducted if a minimum of 10 models for variable were available to decrease the standard error and maximize power in case of high between-study variance (
      • Borenstein M.
      • Hedges L.V.
      Introduction to Meta-analysis.
      ) and to control for sample size and CV scheme—the latter factor overlapping with algorithm used. Results were corrected for false discovery rate. Likelihood ratios and diagnostic odds ratios were produced using a Markov chain Monte Carlo approach within the mada toolbox. All analyses were conducted with R (version 3.6.0).

      Results

      The systematic literature search detected 881 articles, from which 44 were considered eligible after screening for exclusion criteria, for a total of 12 diagnostic models (Table 2 and Figure S1) and 32 prognostic models (Table 3 and Figure S1). The final sample comprised 3707 patients for prognostic studies (mean age = 20.41 years; ∼58% male), of which 320 (∼9%) were CHR patients investigated for nontransition outcomes (mean age = 19.25 years; 56% male) and 1052 were used for diagnostic classification (mean age = 23.42 years; ∼59% male), of which 480 (45%) were HCs. In addition, 26 studies used ML (all diagnostic studies) and 18 were conducted with Cox regression (Tables 2 and 3 and Table S1).
      Table 2Summary of Diagnostic Studies Included in the Current Meta-analysis
      StudyCHR TypeData ModalityAlgorithmOutcomeSEFPR
      Bendfeldt et al. (
      • Bendfeldt K.
      • Smieskova R.
      • Koutsouleris N.
      • Klöppel S.
      • Schmidt A.
      • Walter A.
      • et al.
      Classifying individuals at high-risk for psychosis based on functional brain activity during working memory processing.
      )
      UHR, UPSBiological: fMRISVMDiagnosis740.42
      Guo et al. (
      • Guo S.
      • Palaniyappan L.
      • Yang B.
      • Liu Z.
      • Xue Z.
      • Feng J.
      Anatomical distance affects functional connectivity in patients with schizophrenia and their siblings.
      )
      FRBiological: fMRISVMDiagnosis600.6
      Koutsouleris et al. (
      • Koutsouleris N.
      • Davatzikos C.
      • Bottlender R.
      • Patschurek-Kliche K.
      • Scheuerecker J.
      • Decker P.
      • et al.
      Early recognition and disease prediction in the at-risk mental states for psychosis using neurocognitive pattern classification.
      )
      UHR, BSClinical: cognitionSVMDiagnosis960.2
      Koutsouleris et al. (
      • Koutsouleris N.
      • Meisenzahl E.M.
      • Davatzikos C.
      • Bottlender R.
      • Frodl T.
      • Scheuerecker J.
      • et al.
      Use of neuroanatomical pattern classification to identify subjects in at-risk mental states of psychosis and predict disease transition.
      )
      UHR, BSBiological: sMRISVMDiagnosis890.2
      Liu et al. (
      • Liu M.
      • Zeng L.-L.
      • Shen H.
      • Liu Z.
      • Hu D.
      Potential risk for healthy siblings to develop schizophrenia: Evidence from pattern classification with whole-brain connectivity.
      )
      FRBiological: fMRISVMDiagnosis720.14
      Pettersson-Yeo et al. (
      • Pettersson-Yeo W.
      • Benetti S.
      • Marquand A.F.
      • Dell’Acqua F.
      • Williams S.C.R.
      • Allen P.
      • et al.
      Using genetic, cognitive and multi-modal neuroimaging data to identify ultra-high-risk and first-episode psychosis at the individual level.
      )
      UHRBiological: sMRISVMDiagnosis800.27
      Scariati et al. (
      • Scariati E.
      • Schaer M.
      • Richiardi J.
      • Schneider M.
      • Debbané M.
      • Van De Ville D.
      • Eliez S.
      Identifying 22q11.2 deletion syndrome and psychosis using resting-state connectivity patterns.
      )
      22q11.2DSBiological: fMRISVMDiagnosis810.12
      Studerus et al. (
      • Studerus E.
      • Corbisiero S.
      • Mazzariello N.
      • Ittig S.
      • Leanza L.
      • Egloff L.
      • et al.
      Can neuropsychological testing facilitate differential diagnosis between at-risk mental state (ARMS) for psychosis and adult attention-deficit/hyperactivity disorder (ADHD)?.
      )
      UHR, UPSClinical: cognitionRandom forestDiagnosis730.23
      Tylee et al. (
      • Tylee D.S.
      • Kikinis Z.
      • Quinn T.P.
      • Antshel K.M.
      • Fremont W.
      • Tahir M.A.
      • et al.
      Machine-learning classification of 22q11.2 deletion syndrome: A diffusion tensor imaging study.
      )
      22q11.2DSBiological: DTISVMDiagnosis850.18
      Valli et al. (
      • Valli I.
      • Marquand A.F.
      • Mechelli A.
      • Raffin M.
      • Allen P.
      • Seal M.L.
      • McGuire P.
      Identifying individuals at high risk of psychosis: Predictive utility of support vector machine using structural and functional MRI data.
      )
      UHRBiological: sMRISVMDiagnosis680.24
      Wang et al. (
      • Wang S.
      • Wang G.
      • Lv H.
      • Wu R.
      • Zhao J.
      • Guo W.
      Abnormal regional homogeneity as potential imaging biomarker for psychosis risk syndrome: A resting-state fMRI study and support vector machine analysis.
      )
      UHRBiological: fMRISVMDiagnosis820.31
      Zhu et al. (
      • Zhu F.
      • Liu Y.
      • Liu F.
      • Yang R.
      • Li H.
      • Chen J.
      • et al.
      Functional asymmetry of thalamocortical networks in subjects at ultra-high risk for psychosis and first-episode schizophrenia.
      )
      UHRBiological: fMRISVMDiagnosis720.53
      22q11.2DS, 22q11.2 deletion syndrome; BS, basic symptoms; CHR, clinical high risk; DTI, diffusion tensor imaging; fMRI, functional magnetic resonance imaging; FPR, false positive rate; FR, familial risk; SE, sensitivity; sMRI, structural magnetic resonance imaging; SVM, support vector machine; UHR, ultra high risk; UPS, unspecific prodromal symptoms.
      Table 3Summary of Prognostic Studies Included in the Current Meta-analysis
      StudyCHR TypeData ModalityAlgorithmOutcomeSEFPR
      Amminger et al. (
      • Amminger G.P.
      • Mechelli A.
      • Rice S.
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      • McNamara R.K.
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      Predictors of treatment response in young people at ultra-high risk for psychosis who received long-chain omega-3 fatty acids.
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      UHRBiological: lipidsGPCFunctioning830.25
      Bedi et al. (
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      • Sigman M.
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      Automated analysis of free speech predicts psychosis onset in high-risk youths.
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      UHRClinical: speechConvex HullTransition1000
      Buchy et al. (
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      Impact of substance use on conversion to psychosis in youth at clinical high risk of psychosis.
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      UHRClinical: substance useCox regressionTransition690.19
      Cannon et al. (
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      UHRClinical: symptoms, family risk, functioningCox regressionTransition670.47
      Cannon et al. (
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      An individualized risk calculator for research in prodromal psychosis.
      )
      UHRMultimodal: symptoms, environment, genetic, cognitionCox regressionTransition670.28
      Carrión et al. (
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      Personalized prediction of psychosis: External validation of the NAPLS-2 psychosis risk calculator with the EDIPPP project.
      )
      UHRMultimodal: symptoms, environment, genetic, cognitionCox regressionTransition580.27
      Chan et al. (
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      Development of a blood-based molecular biomarker test for identification of schizophrenia before disease onset.
      )
      UHR, UPSBiological: serumLASSO regressionTransition890.34
      Clinical: positive symptoms780.4
      Multimodal: serum, symptoms890.21
      Cornblatt et al. (
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      )
      UHRMultimodal: clinical, demographics, cognitionCox regressionTransition600.03
      Das et al. (
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      • Harrisberger F.
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      Disorganized gyrification network properties during the transition to psychosis.
      )
      UHR, UPSBiological: cortical gyrificationRandomized treesTransition660.03
      de Wit et al. (
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      )
      UHR, BSBiological: sMRI, gyrificationSVMFunctioning670.25
      Clinical: disorganized speech760.25
      Multimodal: sMRI, clinical, combination680.19
      DeVylder et al. (
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      • Muchomba F.M.
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      Symptom trajectories and psychosis onset in a clinical high-risk cohort: The relevance of subthreshold thought disorder.
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      UHRClinical: disorganized communicationCox regressionFunctioning580.4
      Dragt et al. (
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      Environmental factors and social adjustment as predictors of a first psychosis in subjects at ultra high risk.
      )
      UHRClinical: disorganized communicationCox regressionTransition500.09
      Francesconi et al. (
      • Francesconi M.
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      Psychosis prediction in secondary mental health services: A broad, comprehensive approach to the “at risk mental state” syndrome.
      )
      UHRClinical: thought content, ToM, processing, NSSCox regressionTransition670.03
      Fusar-Poli et al. (
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      Diagnostic and prognostic significance of brief limited intermittent psychotic symptoms (BLIPS) in individuals at ultra high risk.
      )
      UHR-BLIPSClinical: disorganizing symptomsLASSO Cox regressionTransition240.37
      Gothelf et al. (
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      • Hoeft F.
      • Ueno T.
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      )
      22q11.2DSBiological: sMRISVMTransition900
      Hoffman et al. (
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      • Pittman B.
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      Extracting spurious messages from noise and risk of schizophrenia-spectrum disorders in a prodromal population.
      )
      UHRClinical: cognitionCox regressionTransition890.11
      Kambeitz-Ilankovic et al. (
      • Kambeitz-Ilankovic L.
      • Meisenzahl E.M.
      • Cabral C.
      • von Saldern S.
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      • et al.
      Prediction of outcome in the psychosis prodrome using neuroanatomical pattern classification.
      )
      UHR, BSBiological: cortical surface areaSVMFunctioning790.15
      Koutsouleris et al. (
      • Koutsouleris N.
      • Davatzikos C.
      • Bottlender R.
      • Patschurek-Kliche K.
      • Scheuerecker J.
      • Decker P.
      • et al.
      Early recognition and disease prediction in the at-risk mental states for psychosis using neurocognitive pattern classification.
      )
      UHR, BSClinical: cognitionSVMTransition800.25
      Koutsouleris et al. (
      • Koutsouleris N.
      • Kambeitz-Ilankovic L.
      • Ruhrmann S.
      • Rosen M.
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      • et al.
      Prediction models of functional outcomes for individuals in the clinical high-risk state for psychosis or with recent-onset depression: A multimodal, multisite machine learning analysis.
      )
      UHR, BSBiological: sMRISVMFunctioning (role)670.53
      Clinical: functioning610.25
      Multimodal: sMRI and functioning590.3
      Koutsouleris et al. (
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      • Rosen M.
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      • et al.
      Prediction models of functional outcomes for individuals in the clinical high-risk state for psychosis or with recent-onset depression: A multimodal, multisite machine learning analysis.
      )
      UHR, BSBiological: sMRISVMFunctioning (social)800.28
      Clinical: functioning700.16
      Multimodal: sMRI and functioning830.18
      Koutsouleris et al. (
      • Koutsouleris N.
      • Riecher-Rössler A.
      • Meisenzahl E.M.
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      Detecting the psychosis prodrome across high-risk populations using neuroanatomical biomarkers.
      )
      UHR, BSBiological: sMRISVMTransition760.15
      Lavoie et al. (
      • Lavoie S.
      • Berger M.
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      • Schäfer M.R.
      • Rice S.
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      Erythrocyte glutathione levels as long-term predictor of transition to psychosis.
      )
      UHRBiological: blood antioxidantCox regressionTransition910.33
      Mechelli et al. (
      • Mechelli A.
      • Lin A.
      • Wood S.
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      Using clinical information to make individualized prognostic predictions in people at ultra high risk for psychosis.
      )
      UHRClinical: disorders of thought content, attenuated positive symptoms, functioningSVMTransition690.39
      Functioning630.37
      Michel et al. (
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      • Schultze-Lutter F.
      A stratified model for psychosis prediction in clinical practice.
      )
      UHR, BSClinical: SIPS, SPI-A, cognitionCox regressionTransition570.45
      Nieman et al. (
      • Nieman D.H.
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      • Dragt S.
      • Soen F.
      • Van Tricht M.J.
      • Koelman J.H.T.M.
      • et al.
      Psychosis prediction: Stratification of risk estimation with information-processing and premorbid functioning variables.
      )
      UHR, BSMultimodal: symptoms and ERPsCox regressionTransition780.12
      Perkins et al. (
      • Perkins D.O.
      • Jeffries C.D.
      • Addington J.
      • Bearden C.E.
      • Cadenhead K.S.
      • Cannon T.D.
      • et al.
      Towards a psychosis risk blood diagnostic for persons experiencing high-risk symptoms: Preliminary results from the NAPLS project.
      )
      UHRBiological: blood plasma analytesGreedy algorithmTransition600.1
      Ramyead et al. (
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      Prediction of psychosis using neural oscillations and machine learning in neuroleptic-naïve at-risk patients.
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      UHR, UPSBiological: EEGLASSOTransition580.17
      Ruhrmann et al. (
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      • et al.
      Prediction of psychosis in adolescents and young adults at high risk: Results from the prospective European Prediction of Psychosis Study.
      )
      UHR, BSClinical: symptoms, sleep, schizotypy, functioning, educationCox regressionTransition420.02
      Tarbox et al. (
      • Tarbox S.I.
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      )
      UHRClinical: alogia, anhedonia/asociality, suspiciousnessCox regressionTransition620.39
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      UHRClinical: unusual thought content, functioning, family history, functional declineCox regressionTransition300.11
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      Reduced parietal P300 amplitude is associated with an increased risk for a first psychotic episode.
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      UHRBiological: EEGCox regressionTransition460.13
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      UHR, BSBiological: EEGCox regressionTransition830.21
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      Individualized prediction of psychosis in subjects with an at-risk mental state.
      )
      UHR, BSMultimodal: sMRI and cognitionSVMTransition630.16
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      )
      FRBiological: sMRISVMTransition760.23
      Multimodal: sMRI and cognition1000.17
      22q11.2DS, 22q11.2 deletion syndrome; BLIPS, brief limited intermittent psychotic symptoms; BS, basic symptoms; CHR, clinical high risk; EEG, electroencephalography; ERP, evoked response potential; FPR, false positive rate; FR, familial risk; GPC, Gaussian process classification; LASSO, least absolute shrinkage and selection operator; NSS, neurological soft signs; SE, sensitivity; SIPS, Structured Interview for Prodromal Syndromes; sMRI, structural magnetic resonance imaging; SPI-A, Schizophrenia Proneness Instrument–Adult version; SVM, support vector machine; ToM, theory of mind; UHR, ultra high risk; UPS, unspecific prodromal symptoms.

      Meta-analytic Results

      CHR individuals could be classified against HCs with an overall SE of 78% (95% CI = 73%–83%) and an SP of 77% (95% CI = 68%–84%), while across all prognostic models SE reached 67% (95% CI = 63%–70%) and SP reached 78% (95% CI = 73%–82%). Prognostic studies showed a publication bias (R2 = .26, p < .001), whereas diagnostic studies did not (R2 = .07, p > .05) (Figure S2). Performances of both models’ categories are illustrated in two summary receiving operating characteristic curves (Figures 1 and 2) and forest plots (Figures 3 and 4). Within diagnostic models, moderator effects of type of CHR and algorithm, data modality, presence of CV, and being a multisite study were not investigated because less than 10 models per factor were available (
      • Borenstein M.
      • Hedges L.V.
      Introduction to Meta-analysis.
      ). We found no effects of moderator variables in either application domain (p > .10) (Table S2) even when splitting the sample based on CV (Supplement).
      Figure thumbnail gr1
      Figure 1Summary receiver operating characteristic curve of diagnostic studies. FPR, false positive rate.
      Figure thumbnail gr2
      Figure 2Summary receiver operating characteristic curve of prognostic studies. FPR, false positive rate; ML, machine learning.
      Figure thumbnail gr3
      Figure 3Forest plot of sensitivity and specificity for all diagnostic studies divided by data modality. CI, confidence interval; RE, random effects; RF, random forest; SVM, support vector machine.
      Figure thumbnail gr4
      Figure 4Forest plot of sensitivity and specificity for all prognostic studies divided by algorithm and data modality. CHC, convex hull classification; CI, confidence interval; GPC, Gaussian process classifier; LASSO, least absolute shrinkage and selection operator regularized regression; RE, random effects; RF, random forest; SVM, support vector machine.

      Effect of Algorithm Choice

      A total of 19 ML studies (73%) employed a support vector machine algorithm (
      • Koutsouleris N.
      • Kambeitz-Ilankovic L.
      • Ruhrmann S.
      • Rosen M.
      • Ruef A.
      • Dwyer D.B.
      • et al.
      Prediction models of functional outcomes for individuals in the clinical high-risk state for psychosis or with recent-onset depression: A multimodal, multisite machine learning analysis.
      ,
      • de Wit S.
      • Ziermans T.B.
      • Nieuwenhuis M.
      • Schothorst P.F.
      • van Engeland H.
      • Kahn R.S.
      • et al.
      Individual prediction of long-term outcome in adolescents at ultra-high risk for psychosis: Applying machine learning techniques to brain imaging data.
      ,
      • Bendfeldt K.
      • Smieskova R.
      • Koutsouleris N.
      • Klöppel S.
      • Schmidt A.
      • Walter A.
      • et al.
      Classifying individuals at high-risk for psychosis based on functional brain activity during working memory processing.
      ,
      • Gothelf D.
      • Hoeft F.
      • Ueno T.
      • Sugiura L.
      • Lee A.D.
      • Thompson P.
      • Reiss A.L.
      Developmental changes in multivariate neuroanatomical patterns that predict risk for psychosis in 22q11.2 deletion syndrome.
      ,
      • Guo S.
      • Palaniyappan L.
      • Yang B.
      • Liu Z.
      • Xue Z.
      • Feng J.
      Anatomical distance affects functional connectivity in patients with schizophrenia and their siblings.
      ,
      • Kambeitz-Ilankovic L.
      • Meisenzahl E.M.
      • Cabral C.
      • von Saldern S.
      • Kambeitz J.
      • Falkai P.
      • et al.
      Prediction of outcome in the psychosis prodrome using neuroanatomical pattern classification.
      ,
      • Koutsouleris N.
      • Davatzikos C.
      • Bottlender R.
      • Patschurek-Kliche K.
      • Scheuerecker J.
      • Decker P.
      • et al.
      Early recognition and disease prediction in the at-risk mental states for psychosis using neurocognitive pattern classification.
      ,
      • Wang S.
      • Wang G.
      • Lv H.
      • Wu R.
      • Zhao J.
      • Guo W.
      Abnormal regional homogeneity as potential imaging biomarker for psychosis risk syndrome: A resting-state fMRI study and support vector machine analysis.
      ,
      • Koutsouleris N.
      • Meisenzahl E.M.
      • Davatzikos C.
      • Bottlender R.
      • Frodl T.
      • Scheuerecker J.
      • et al.
      Use of neuroanatomical pattern classification to identify subjects in at-risk mental states of psychosis and predict disease transition.
      ,
      • Koutsouleris N.
      • Riecher-Rössler A.
      • Meisenzahl E.M.
      • Smieskova R.
      • Studerus E.
      • Kambeitz-Ilankovic L.
      • et al.
      Detecting the psychosis prodrome across high-risk populations using neuroanatomical biomarkers.
      ,
      • Mechelli A.
      • Lin A.
      • Wood S.
      • McGorry P.
      • Amminger P.
      • Tognin S.
      • et al.
      Using clinical information to make individualized prognostic predictions in people at ultra high risk for psychosis.
      ,
      • Zhu F.
      • Liu Y.
      • Liu F.
      • Yang R.
      • Li H.
      • Chen J.
      • et al.
      Functional asymmetry of thalamocortical networks in subjects at ultra-high risk for psychosis and first-episode schizophrenia.
      ,
      • Pettersson-Yeo W.
      • Benetti S.
      • Marquand A.F.
      • Dell’Acqua F.
      • Williams S.C.R.
      • Allen P.
      • et al.
      Using genetic, cognitive and multi-modal neuroimaging data to identify ultra-high-risk and first-episode psychosis at the individual level.
      ,
      • Scariati E.
      • Schaer M.
      • Richiardi J.
      • Schneider M.
      • Debbané M.
      • Van De Ville D.
      • Eliez S.
      Identifying 22q11.2 deletion syndrome and psychosis using resting-state connectivity patterns.
      ,
      • Tylee D.S.
      • Kikinis Z.
      • Quinn T.P.
      • Antshel K.M.
      • Fremont W.
      • Tahir M.A.
      • et al.
      Machine-learning classification of 22q11.2 deletion syndrome: A diffusion tensor imaging study.
      ,
      • Valli I.
      • Marquand A.F.
      • Mechelli A.
      • Raffin M.
      • Allen P.
      • Seal M.L.
      • McGuire P.
      Identifying individuals at high risk of psychosis: Predictive utility of support vector machine using structural and functional MRI data.
      ,
      • Zarogianni E.
      • Storkey A.J.
      • Borgwardt S.
      • Smieskova R.
      • Studerus E.
      • Riecher-Rössler A.
      • Lawrie S.M.
      Individualized prediction of psychosis in subjects with an at-risk mental state.
      ,
      • Zarogianni E.
      • Storkey A.J.
      • Johnstone E.C.
      • Owens D.G.C.
      • Lawrie S.M.
      Improved individualized prediction of schizophrenia in subjects at familial high risk, based on neuroanatomical data, schizotypal and neurocognitive features.
      ,
      • Liu M.
      • Zeng L.-L.
      • Shen H.
      • Liu Z.
      • Hu D.
      Potential risk for healthy siblings to develop schizophrenia: Evidence from pattern classification with whole-brain connectivity.
      ), while the rest used Gaussian process (
      • Amminger G.P.
      • Mechelli A.
      • Rice S.
      • Kim S.W.
      • Klier C.M.
      • McNamara R.K.
      • et al.
      Predictors of treatment response in young people at ultra-high risk for psychosis who received long-chain omega-3 fatty acids.
      ) or convex hull classification (
      • Bedi G.
      • Carrillo F.
      • Cecchi G.A.
      • Slezak D.F.
      • Sigman M.
      • Mota N.B.
      • et al.
      Automated analysis of free speech predicts psychosis onset in high-risk youths.
      ), randomized trees (
      • Das T.
      • Borgwardt S.
      • Hauke D.J.
      • Harrisberger F.
      • Lang U.E.
      • Riecher-Rössler A.
      • et al.
      Disorganized gyrification network properties during the transition to psychosis.
      ), greedy algorithm (
      • Perkins D.O.
      • Jeffries C.D.
      • Addington J.
      • Bearden C.E.
      • Cadenhead K.S.
      • Cannon T.D.
      • et al.
      Towards a psychosis risk blood diagnostic for persons experiencing high-risk symptoms: Preliminary results from the NAPLS project.
      ), random forest (
      • Studerus E.
      • Ramyead A.
      • Riecher-Rössler A.
      Prediction of transition to psychosis in patients with a clinical high risk for psychosis: A systematic review of methodology and reporting.
      ), or LASSO regression (
      • Chan M.K.
      • Krebs M.O.
      • Cox D.
      • Guest P.C.
      • Yolken R.H.
      • Rahmoune H.
      • et al.
      Development of a blood-based molecular biomarker test for identification of schizophrenia before disease onset.
      ,
      • Ramyead A.
      • Studerus E.
      • Kometer M.
      • Uttinger M.
      • Gschwandtner U.
      • Fuhr P.
      • Riecher-Rössler A.
      Prediction of psychosis using neural oscillations and machine learning in neuroleptic-naïve at-risk patients.
      ). All ML models were computed with CV, whereas studies using Cox regression applied bootstrapping (
      • Cannon T.D.
      • Yu C.
      • Addington J.
      • Bearden C.E.
      • Cadenhead K.S.
      • Cornblatt B.A.
      • et al.
      An individualized risk calculator for research in prodromal psychosis.
      ,
      • Cornblatt B.A.
      • Auther A.
      • Mclaughlin D.
      • Olsen R.H.
      • John M.
      • Christoph U.
      • et al.
      Psychosis prevention: A modified clinical high risk perspective from the recognition and prevention (RAP) program.
      ,
      • Francesconi M.
      • Minichino A.
      • Carrión R.E.
      • Delle Chiaie R.
      • Bevilacqua A.
      • Parisi M.
      • et al.
      Psychosis prediction in secondary mental health services: A broad, comprehensive approach to the “at risk mental state” syndrome.
      ,
      • Fusar-Poli P.
      • Cappucciati M.
      • De Micheli A.
      • Rutigliano G.
      • Bonoldi I.
      • Tognin S.
      • et al.
      Diagnostic and prognostic significance of brief limited intermittent psychotic symptoms (BLIPS) in individuals at ultra high risk.
      ,
      • Michel C.
      • Ruhrmann S.
      • Schimmelmann B.G.
      • Klosterkötter J.
      • Schultze-Lutter F.
      A stratified model for psychosis prediction in clinical practice.
      ,
      • Nieman D.H.
      • Ruhrmann S.
      • Dragt S.
      • Soen F.
      • Van Tricht M.J.
      • Koelman J.H.T.M.
      • et al.
      Psychosis prediction: Stratification of risk estimation with information-processing and premorbid functioning variables.
      ), reported apparent results (i.e., the model is tested in the same sample from which it was derived) (
      • Moons K.G.M.
      • de Groot J.A.H.
      • Bouwmeester W.
      • Vergouwe Y.
      • Mallett S.
      • Altman D.G.
      • et al.
      Critical appraisal and data extraction for systematic reviews of prediction modelling studies: The CHARMS checklist.
      ,
      • Dragt S.
      • Nieman D.H.
      • Veltman D.
      • Becker H.E.
      • van de Fliert R.
      • de Haan L.
      • Linszen D.H.
      Environmental factors and social adjustment as predictors of a first psychosis in subjects at ultra high risk.
      ,
      • Ruhrmann S.
      • Schultze-Lutter F.
      • Salokangas R.K.R.
      • Heinimaa M.
      • Linszen D.
      • Dingemans P.
      • et al.
      Prediction of psychosis in adolescents and young adults at high risk: Results from the prospective European Prediction of Psychosis Study.
      ,
      • Tarbox S.I.
      • Addington J.
      • Cadenhead K.S.
      • Cannon T.D.
      • Cornblatt B.A.
      • Perkins D.O.
      • et al.
      Premorbid functional development and conversion to psychosis in clinical high-risk youths.
      ,
      • Thompson A.
      • Nelson B.
      • Yung A.
      Predictive validity of clinical variables in the “at risk” for psychosis population: International comparison with results from the North American Prodrome Longitudinal Study.
      ,
      • Van Tricht M.J.
      • Nieman D.H.
      • Koelman J.H.T.M.
      • Van Der Meer J.N.
      • Bour L.J.
      • De Haan L.
      • Linszen D.H.
      Reduced parietal P300 amplitude is associated with an increased risk for a first psychotic episode.
      ), or lacked a validation procedure. Among the cross-validated studies, 58% applied leave-one-out CV, 3 of which nested and 7 of which used k-fold CV (3 in its repeated nested form). Only 1 study applied a leave-site-out CV (
      • Koutsouleris N.
      • Kambeitz-Ilankovic L.
      • Ruhrmann S.
      • Rosen M.
      • Ruef A.
      • Dwyer D.B.
      • et al.
      Prediction models of functional outcomes for individuals in the clinical high-risk state for psychosis or with recent-onset depression: A multimodal, multisite machine learning analysis.
      ), that is, a form of internal–external validation (
      • Steyerberg E.W.
      • Harrell F.E.
      Prediction models need appropriate internal, internal-external, and external validation.
      ). Within prognostic studies, we found a main effect of CV/algorithm on SE (p = .009; χ22 = 6.96, p = .031); that is, cross-validated ML models reached a higher SE (71%, 95% CI = 67%–74%) than Cox regression ones (61%, 95% CI = 54%–68%) (Figure 4).

      Effect of Data Modality

      Diagnostic models included the use of functional (
      • Bendfeldt K.
      • Smieskova R.
      • Koutsouleris N.
      • Klöppel S.
      • Schmidt A.
      • Walter A.
      • et al.
      Classifying individuals at high-risk for psychosis based on functional brain activity during working memory processing.
      ,
      • Guo S.
      • Palaniyappan L.
      • Yang B.
      • Liu Z.
      • Xue Z.
      • Feng J.
      Anatomical distance affects functional connectivity in patients with schizophrenia and their siblings.
      ,
      • Koutsouleris N.
      • Meisenzahl E.M.
      • Davatzikos C.
      • Bottlender R.
      • Frodl T.
      • Scheuerecker J.
      • et al.
      Use of neuroanatomical pattern classification to identify subjects in at-risk mental states of psychosis and predict disease transition.
      ,
      • Pettersson-Yeo W.
      • Benetti S.
      • Marquand A.F.
      • Dell’Acqua F.
      • Williams S.C.R.
      • Allen P.
      • et al.
      Using genetic, cognitive and multi-modal neuroimaging data to identify ultra-high-risk and first-episode psychosis at the individual level.
      ,
      • Scariati E.
      • Schaer M.
      • Richiardi J.
      • Schneider M.
      • Debbané M.
      • Van De Ville D.
      • Eliez S.
      Identifying 22q11.2 deletion syndrome and psychosis using resting-state connectivity patterns.
      ) and structural (
      • Zhu F.
      • Liu Y.
      • Liu F.
      • Yang R.
      • Li H.
      • Chen J.
      • et al.
      Functional asymmetry of thalamocortical networks in subjects at ultra-high risk for psychosis and first-episode schizophrenia.
      ,
      • Valli I.
      • Marquand A.F.
      • Mechelli A.
      • Raffin M.
      • Allen P.
      • Seal M.L.
      • McGuire P.
      Identifying individuals at high risk of psychosis: Predictive utility of support vector machine using structural and functional MRI data.
      ,
      • Koutsouleris N.
      • Gaser C.
      • Bottlender R.
      • Davatzikos C.
      • Decker P.
      • Jäger M.
      • et al.
      Use of neuroanatomical pattern regression to predict the structural brain dynamics of vulnerability and transition to psychosis.
      ) magnetic resonance imaging (MRI) and diffusion tensor imaging (
      • Tylee D.S.
      • Kikinis Z.
      • Quinn T.P.
      • Antshel K.M.
      • Fremont W.
      • Tahir M.A.
      • et al.
      Machine-learning classification of 22q11.2 deletion syndrome: A diffusion tensor imaging study.
      ), and behavioral models were based on neurocognitive functions (
      • Wang S.
      • Wang G.
      • Lv H.
      • Wu R.
      • Zhao J.
      • Guo W.
      Abnormal regional homogeneity as potential imaging biomarker for psychosis risk syndrome: A resting-state fMRI study and support vector machine analysis.
      ,
      • Koutsouleris N.
      • Meisenzahl E.M.
      • Davatzikos C.
      • Bottlender R.
      • Frodl T.
      • Scheuerecker J.
      • et al.
      Use of neuroanatomical pattern classification to identify subjects in at-risk mental states of psychosis and predict disease transition.
      ).
      Models for prediction of transition to psychosis involved blood-based (
      • Perkins D.O.
      • Jeffries C.D.
      • Addington J.
      • Bearden C.E.
      • Cadenhead K.S.
      • Cannon T.D.
      • et al.
      Towards a psychosis risk blood diagnostic for persons experiencing high-risk symptoms: Preliminary results from the NAPLS project.
      ,
      • Chan M.K.
      • Krebs M.O.
      • Cox D.
      • Guest P.C.
      • Yolken R.H.
      • Rahmoune H.
      • et al.
      Development of a blood-based molecular biomarker test for identification of schizophrenia before disease onset.
      ,
      • Lavoie S.
      • Berger M.
      • Schlögelhofer M.
      • Schäfer M.R.
      • Rice S.
      • Kim S.W.
      • et al.
      Erythrocyte glutathione levels as long-term predictor of transition to psychosis.
      ), electrophysiological (
      • Ramyead A.
      • Studerus E.
      • Kometer M.
      • Uttinger M.
      • Gschwandtner U.
      • Fuhr P.
      • Riecher-Rössler A.
      Prediction of psychosis using neural oscillations and machine learning in neuroleptic-naïve at-risk patients.
      ,
      • Van Tricht M.J.
      • Nieman D.H.
      • Koelman J.H.T.M.
      • Van Der Meer J.N.
      • Bour L.J.
      • De Haan L.
      • Linszen D.H.
      Reduced parietal P300 amplitude is associated with an increased risk for a first psychotic episode.
      ,
      • van Tricht M.J.
      • Ruhrmann S.
      • Arns M.
      • Müller R.
      • Bodatsch M.
      • Velthorst E.
      • et al.
      Can quantitative EEG measures predict clinical outcome in subjects at clinical high risk for psychosis? A prospective multicenter study.
      ), and neuroanatomical data using white and/or gray matter volume (
      • Gothelf D.
      • Hoeft F.
      • Ueno T.
      • Sugiura L.
      • Lee A.D.
      • Thompson P.
      • Reiss A.L.
      Developmental changes in multivariate neuroanatomical patterns that predict risk for psychosis in 22q11.2 deletion syndrome.
      ,
      • Koutsouleris N.
      • Riecher-Rössler A.
      • Meisenzahl E.M.
      • Smieskova R.
      • Studerus E.
      • Kambeitz-Ilankovic L.
      • et al.
      Detecting the psychosis prodrome across high-risk populations using neuroanatomical biomarkers.
      ,
      • Zarogianni E.
      • Storkey A.J.
      • Borgwardt S.
      • Smieskova R.
      • Studerus E.
      • Riecher-Rössler A.
      • Lawrie S.M.
      Individualized prediction of psychosis in subjects with an at-risk mental state.
      ) or gyrification measures (
      • Das T.
      • Borgwardt S.
      • Hauke D.J.
      • Harrisberger F.
      • Lang U.E.
      • Riecher-Rössler A.
      • et al.
      Disorganized gyrification network properties during the transition to psychosis.
      ). Clinical models were trained on prodromal positive and negative symptoms, functioning, and family risk associated with functional decline; the neurocognitive modality was based on executive functions and verbal IQ (
      • Koutsouleris N.
      • Davatzikos C.
      • Bottlender R.
      • Patschurek-Kliche K.
      • Scheuerecker J.
      • Decker P.
      • et al.
      Early recognition and disease prediction in the at-risk mental states for psychosis using neurocognitive pattern classification.
      ) or speech features (
      • Bedi G.
      • Carrillo F.
      • Cecchi G.A.
      • Slezak D.F.
      • Sigman M.
      • Mota N.B.
      • et al.
      Automated analysis of free speech predicts psychosis onset in high-risk youths.
      ,
      • Hoffman R.E.
      • Woods S.W.
      • Hawkins K.A.
      • Pittman B.
      • Tohen M.
      • Preda A.
      • et al.
      Extracting spurious messages from noise and risk of schizophrenia-spectrum disorders in a prodromal population.
      ). Multimodal approaches included different combinations of clinical, neuropsychological, and demographic variables as well as genetic risk (
      • Cannon T.D.
      • Yu C.
      • Addington J.
      • Bearden C.E.
      • Cadenhead K.S.
      • Cornblatt B.A.
      • et al.
      An individualized risk calculator for research in prodromal psychosis.
      ,
      • Zarogianni E.
      • Storkey A.J.
      • Borgwardt S.
      • Smieskova R.
      • Studerus E.
      • Riecher-Rössler A.
      • Lawrie S.M.
      Individualized prediction of psychosis in subjects with an at-risk mental state.
      ,
      • Zarogianni E.
      • Storkey A.J.
      • Johnstone E.C.
      • Owens D.G.C.
      • Lawrie S.M.
      Improved individualized prediction of schizophrenia in subjects at familial high risk, based on neuroanatomical data, schizotypal and neurocognitive features.
      ,
      • Bedi G.
      • Carrillo F.
      • Cecchi G.A.
      • Slezak D.F.
      • Sigman M.
      • Mota N.B.
      • et al.
      Automated analysis of free speech predicts psychosis onset in high-risk youths.
      ,
      • Carrión R.E.
      • Cornblatt B.A.
      • Burton C.Z.
      • Tso I.F.
      • Auther A.M.
      • Adelsheim S.
      • et al.
      Personalized prediction of psychosis: External validation of the NAPLS-2 psychosis risk calculator with the EDIPPP project.
      ). One model was built on P300 amplitude from event-related potentials and sociopersonal adjustment (
      • Nieman D.H.
      • Ruhrmann S.
      • Dragt S.
      • Soen F.
      • Van Tricht M.J.
      • Koelman J.H.T.M.
      • et al.
      Psychosis prediction: Stratification of risk estimation with information-processing and premorbid functioning variables.
      ). Functional outcomes were predicted with neuroanatomical (
      • Moons K.G.M.
      • de Groot J.A.H.
      • Bouwmeester W.
      • Vergouwe Y.
      • Mallett S.
      • Altman D.G.
      • et al.
      Critical appraisal and data extraction for systematic reviews of prediction modelling studies: The CHARMS checklist.
      ,
      • Fusar-Poli P.
      • Rutigliano G.
      • Stahl D.
      • Davies C.
      • Bonoldi I.
      • Reilly T.
      • McGuire P.
      Development and validation of a clinically based risk calculator for the transdiagnostic prediction of psychosis.
      ,
      • Perez V.B.
      • Woods S.W.
      • Roach B.J.
      • Ford J.M.
      • McGlashan T.H.
      • Srihari V.H.
      • Mathalon D.H.
      Automatic auditory processing deficits in schizophrenia and clinical high-risk patients: Forecasting psychosis risk with mismatch negativity.
      ) and blood-based biomarkers (
      • Amminger G.P.
      • Mechelli A.
      • Rice S.
      • Kim S.W.
      • Klier C.M.
      • McNamara R.K.
      • et al.
      Predictors of treatment response in young people at ultra-high risk for psychosis who received long-chain omega-3 fatty acids.
      ), and 2 studies combined clinical and MRI measures (
      • Koutsouleris N.
      • Kambeitz-Ilankovic L.
      • Ruhrmann S.
      • Rosen M.
      • Ruef A.
      • Dwyer D.B.
      • et al.
      Prediction models of functional outcomes for individuals in the clinical high-risk state for psychosis or with recent-onset depression: A multimodal, multisite machine learning analysis.
      ,
      • de Wit S.
      • Ziermans T.B.
      • Nieuwenhuis M.
      • Schothorst P.F.
      • van Engeland H.
      • Kahn R.S.
      • et al.
      Individual prediction of long-term outcome in adolescents at ultra-high risk for psychosis: Applying machine learning techniques to brain imaging data.
      ). There were no effects of data modality on SE (p = .172) or false positive rate (p = .606) (Table S2).

      Effect of Sample Characteristics

      Performance accuracies were not influenced by age and sex of individuals (p > .10) (Table S2). CHR in 86% of the studies fulfilled the UHR criteria (
      • Yung A.R.
      • McGorry P.D.
      The initial prodrome in psychosis: Descriptive and qualitative aspects.
      ), while 6 models were based on the genetic risk syndromes 22q11.2DS (
      • Gothelf D.
      • Hoeft F.
      • Ueno T.
      • Sugiura L.
      • Lee A.D.
      • Thompson P.
      • Reiss A.L.
      Developmental changes in multivariate neuroanatomical patterns that predict risk for psychosis in 22q11.2 deletion syndrome.
      ,
      • Scariati E.
      • Schaer M.
      • Richiardi J.
      • Schneider M.
      • Debbané M.
      • Van De Ville D.
      • Eliez S.
      Identifying 22q11.2 deletion syndrome and psychosis using resting-state connectivity patterns.
      ,
      • Tylee D.S.
      • Kikinis Z.
      • Quinn T.P.
      • Antshel K.M.
      • Fremont W.
      • Tahir M.A.
      • et al.
      Machine-learning classification of 22q11.2 deletion syndrome: A diffusion tensor imaging study.
      ) or FR (
      • Guo S.
      • Palaniyappan L.
      • Yang B.
      • Liu Z.
      • Xue Z.
      • Feng J.
      Anatomical distance affects functional connectivity in patients with schizophrenia and their siblings.
      ,
      • Zarogianni E.
      • Storkey A.J.
      • Johnstone E.C.
      • Owens D.G.C.
      • Lawrie S.M.
      Improved individualized prediction of schizophrenia in subjects at familial high risk, based on neuroanatomical data, schizotypal and neurocognitive features.
      ,
      • Liu M.
      • Zeng L.-L.
      • Shen H.
      • Liu Z.
      • Hu D.
      Potential risk for healthy siblings to develop schizophrenia: Evidence from pattern classification with whole-brain connectivity.
      ). Because of this imbalance, we could not statistically test the effects of this variable, yet results did not change when excluding patients with 22q11.2DS and FR (Supplement).
      Furthermore, individuals differed in their outcome definitions. Poor functional outcome was defined on the Global Assessment of Functioning scale (GAF) (cutoff: 70) (
      • Kambeitz-Ilankovic L.
      • Meisenzahl E.M.
      • Cabral C.
      • von Saldern S.
      • Kambeitz J.
      • Falkai P.
      • et al.
      Prediction of outcome in the psychosis prodrome using neuroanatomical pattern classification.
      ), the Social and Occupational Functioning Assessment Scale (score ≤50) (
      • Mechelli A.
      • Lin A.
      • Wood S.
      • McGorry P.
      • Amminger P.
      • Tognin S.
      • et al.
      Using clinical information to make individualized prognostic predictions in people at ultra high risk for psychosis.
      ), the GAF modified version (
      • Hall R.C.W.
      Global Assessment of Functioning: A modified scale.
      ) defining nonresilience through a cutoff of ≤65 (
      • de Wit S.
      • Ziermans T.B.
      • Nieuwenhuis M.
      • Schothorst P.F.
      • van Engeland H.
      • Kahn R.S.
      • et al.
      Individual prediction of long-term outcome in adolescents at ultra-high risk for psychosis: Applying machine learning techniques to brain imaging data.
      ), or the Global Functioning social/role scale (<8) (
      • Koutsouleris N.
      • Kambeitz-Ilankovic L.
      • Ruhrmann S.
      • Rosen M.
      • Ruef A.
      • Dwyer D.B.
      • et al.
      Prediction models of functional outcomes for individuals in the clinical high-risk state for psychosis or with recent-onset depression: A multimodal, multisite machine learning analysis.
      ). In one case (
      • Amminger G.P.
      • Mechelli A.
      • Rice S.
      • Kim S.W.
      • Klier C.M.
      • McNamara R.K.
      • et al.
      Predictors of treatment response in young people at ultra-high risk for psychosis who received long-chain omega-3 fatty acids.
      ), treatment response was operationalized as an increase of ≥15 points in the GAF. There were no significant effects on SE or false positive rate driven by prognostic target (p = .570 or .085, respectively) or the duration of time-to-follow-up examination (p = .637 or .305, respectively).

      Discussion

      We conducted a systematic review and meta-analysis on 44 studies reporting prognostic and diagnostic models for a total of 3707 and 572 CHR individuals, respectively, with the aim to quantitatively assess their accuracy, validity, and heterogeneity. Our results point to good model performance overall and to a higher SE of ML models compared with Cox regression in prognostic studies. This effect was fully collinear with that of CV, mainly due to the complete overlap of this factor with algorithm type. Notably, there were no significant effects of data modality, CHR or CV type, prognostic target, or any other potential confounding variables (e.g., age distribution, sex, year of publication, follow-up interval time) on accuracy performance in our data. It is noteworthy that in prognostic studies we observed a publication bias, that is, the tendency for studies with smaller sample sizes to report higher, and potentially inflated, prediction accuracies (
      • Sterne J.A.C.
      • Egger M.
      • Smith G.D.
      Investigating and dealing with publication and other biases in meta-analysis.
      ). This might have affected our results (
      • Sterne J.A.C.
      • Egger M.
      • Smith G.D.
      Investigating and dealing with publication and other biases in meta-analysis.
      ) so that we cannot draw robust conclusions from our meta-analytical findings.

      Methodological Differences and Pitfalls

      Prognostic models employing ML outperformed those using Cox regression by 10% SE. This finding may have resulted from a complex interplay of cohort-related and methodological heterogeneity. Notably, there was a complete overlap between the statistical method chosen and implementation of CV, that is, all ML models were cross-validated, while only 6 Cox regression studies applied bootstrapping as the validation procedure. Because the choice of a reliable validation method strongly determines both performance and generalizability of models (
      • Dwyer D.B.
      • Falkai P.
      • Koutsouleris N.
      Machine learning approaches for clinical psychology and psychiatry.
      ), this methodological discrepancy may have biased our findings. Validation issues were also present in studies employing ML for prognostic modeling. First, 53% of these studies applied CV without nesting and repetitions, which is known to generate overoptimistic results due to high variability and information leakage between training and testing data during model optimization (
      • Varoquaux G.
      • Raamana P.R.
      • Engemann D.A.
      • Hoyos-Idrobo A.
      • Schwartz Y.
      • Thirion B.
      Assessing and tuning brain decoders: Cross-validation, caveats, and guidelines.
      ). The extended use of this validation scheme may explain the higher SE found in ML studies.
      Second, several Cox regression studies included in this meta-analysis either did not report probability thresholds or chose a priori optimal thresholds from the data. While ML’s lack of homogeneous thresholds is mainly handled via CV schemes averaging performances across folds and repetitions, the use of p values or data-derived thresholds without a proper training–test separation might have inflated Cox regression models’ performance (
      • Moons K.G.M.
      • de Groot J.A.H.
      • Bouwmeester W.
      • Vergouwe Y.
      • Mallett S.
      • Altman D.G.
      • et al.
      Critical appraisal and data extraction for systematic reviews of prediction modelling studies: The CHARMS checklist.
      ).
      Third, preprocessing approaches varied across studies. In 3 cases, for instance, prognostic features were derived from univariate group comparisons or by applying principal component analysis outside the CV scheme (
      • Perkins D.O.
      • Jeffries C.D.
      • Addington J.
      • Bearden C.E.
      • Cadenhead K.S.
      • Cannon T.D.
      • et al.
      Towards a psychosis risk blood diagnostic for persons experiencing high-risk symptoms: Preliminary results from the NAPLS project.
      ,
      • Koutsouleris N.
      • Meisenzahl E.M.
      • Davatzikos C.
      • Bottlender R.
      • Frodl T.
      • Scheuerecker J.
      • et al.
      Use of neuroanatomical pattern classification to identify subjects in at-risk mental states of psychosis and predict disease transition.
      ,
      • Liu M.
      • Zeng L.-L.
      • Shen H.
      • Liu Z.
      • Hu D.
      Potential risk for healthy siblings to develop schizophrenia: Evidence from pattern classification with whole-brain connectivity.
      ), which is a known source of information leakage, because variance from the training sample data is carried into the test sample (
      • Dwyer D.B.
      • Falkai P.
      • Koutsouleris N.
      Machine learning approaches for clinical psychology and psychiatry.
      ). One model was constructed on a nonrandom sampling of the training set (
      • Tylee D.S.
      • Kikinis Z.
      • Quinn T.P.
      • Antshel K.M.
      • Fremont W.
      • Tahir M.A.
      • et al.
      Machine-learning classification of 22q11.2 deletion syndrome: A diffusion tensor imaging study.
      ), while another model classified patients at UHR from HCs based on the brain pattern shared by patients at UHR and with first-episode psychosis (
      • Zhu F.
      • Liu Y.
      • Liu F.
      • Yang R.
      • Li H.
      • Chen J.
      • et al.
      Functional asymmetry of thalamocortical networks in subjects at ultra-high risk for psychosis and first-episode schizophrenia.
      ). These approaches, as well as the use of stepwise methods in Cox regression models, entail sample-driven variance and, therefore, could lead to good predictive performance, but arguably they should be tested for generalizability in an external dataset. Valuable alternatives are literature-based feature selection and embedded feature optimization, where the intrinsic optimal feature configuration is learned by the model itself (
      • Snoek J.
      • Larochelle H.
      • Adams R.P.
      Practical Bayesian optimization of machine learning algorithms.
      ).
      It should be noted that some of the studies included in our meta-analytic contribution had very low sample sizes. One study had N < 20, while 2 diagnostic and 21 prognostic models had, respectively, less than 20 CHR individuals or CHR with poor outcome. Findings from these studies might be consistent with literature demonstrating a publication bias toward increased accuracy with reduced sample size (
      • Schnack H.G.
      • Kahn R.S.
      Detecting neuroimaging biomarkers for psychiatric disorders: Sample size matters.
      ), possibly caused by overfitting. This indicates the need for future ML research to employ larger, preferably multisite samples for both diagnostic and prognostic purposes (
      • Schnack H.G.
      • Kahn R.S.
      Detecting neuroimaging biomarkers for psychiatric disorders: Sample size matters.
      ).
      Taken together, these issues may mirror the heterogeneity of methodological procedures within the field. Arguably, the application of ML techniques to diagnosis and prognosis in psychiatry is still relatively young (
      • Bzdok D.
      • Meyer-Lindenberg A.
      Machine learning for precision psychiatry: Opportunities and challenges.
      ), so conventions and standard operating procedures facilitating model comparability and replicability have not become generally accepted. Our findings highlight the urgency to develop such guidelines for the construction of prognostic and diagnostic models (
      • Poldrack R.A.
      • Huckins G.
      • Varoquaux G.
      Establishment of best practices for evidence for prediction: A review.
      ). As indicated in Table 4, the most important ones are 1) the implementation of repeated nested CV, internal–external, or external validation schemes and 2) the full and strict embedding of all preprocessing or feature engineering procedures within the CV scheme. Researchers, funding organizations, and journals should support efforts to standardize approaches, favoring the importance of thorough validation over model performance per se.
      Table 4Conceptual and Methodological Guidelines for Construction of Diagnostic and Predictive Models Implementable in Real-Life Clinical Practice
      GuidelinesPractical Suggestions
      Conceptual Guidelines
       Harmonization of the CHR definition and diagnostic instrumentsCreate a harmonized early recognition instrument that encompasses those at-risk definitions and criteria from the existing diverse inventories that parsimoniously delineate the CHR state and also are predictive of its adverse outcomes
       Broaden the scope of prediction to nontransition outcomesHarmonize social and occupational outcomes, pharmacological and nonpharmacological treatment response criteria, and definitions of persistence or remission of symptoms and use these end points in future predictive studies
      Methodological Guidelines
       Increase in sample sizeFacilitate collaborative science approaches that enable the harmonization of end-point definitions and the external validation of predictive models

      Get access to open-source databases
       Study design harmonizationEmploy reliable methodologies (CV and external validation are recommended); avoid leave-one-out CV; implement k-fold CV

      Embed all preprocessing or feature engineering procedures within the chosen CV scheme

      Enforce preregistration processes (as in clinical trials) to facilitate monitoring of standardized data acquisition, model discovery, and validation plan
       Common modeling platforms and open-source model librariesLarge-scale, consortium-wide international model benchmarking
      CHR, clinical high risk; CV, cross-validation.

      Type of Data Modality

      Overall, most models were constructed using biological (44%) and clinical (38%) data, with only 10 prognostic models based on more than one data modality. Most diagnostic models used MRI data (83%), whereas prognostic models showed a higher variability. Prognostic models of psychosis transition included molecular, neuroanatomical, electrophysiological, neuropsychological, and clinical data modalities, most of the latter trained on prodromal positive and negative symptoms, functioning, and FR associated with functional decline. We found no significant differences in predictive accuracy when comparing data modalities within and between algorithms.
      This result may mirror a real lack of significant differences in biomarker type when distinguishing the CHR state from the norm or predicted outcome. However, because only 4 prognostic studies tested the relative and combined predictive ability of different data modalities on the same individuals (
      • Koutsouleris N.
      • Kambeitz-Ilankovic L.
      • Ruhrmann S.
      • Rosen M.
      • Ruef A.
      • Dwyer D.B.
      • et al.
      Prediction models of functional outcomes for individuals in the clinical high-risk state for psychosis or with recent-onset depression: A multimodal, multisite machine learning analysis.
      ,
      • de Wit S.
      • Ziermans T.B.
      • Nieuwenhuis M.
      • Schothorst P.F.
      • van Engeland H.
      • Kahn R.S.
      • et al.
      Individual prediction of long-term outcome in adolescents at ultra-high risk for psychosis: Applying machine learning techniques to brain imaging data.
      ,
      • Zarogianni E.
      • Storkey A.J.
      • Johnstone E.C.
      • Owens D.G.C.
      • Lawrie S.M.
      Improved individualized prediction of schizophrenia in subjects at familial high risk, based on neuroanatomical data, schizotypal and neurocognitive features.
      ,
      • Chan M.K.
      • Krebs M.O.
      • Cox D.
      • Guest P.C.
      • Yolken R.H.
      • Rahmoune H.
      • et al.
      Development of a blood-based molecular biomarker test for identification of schizophrenia before disease onset.
      ), and because data modalities are overall under- or overrepresented, the currently available studies do not allow this conclusion to be drawn. Further research directly comparing performance across data modalities, followed by meta-analytic evaluation, is warranted.
      Alternatively, our results may reflect the complexity of the multifaceted architecture of psychosis risk (
      • Howes O.D.
      • Murray R.M.
      Schizophrenia: An integrated sociodevelopmental-cognitive model.
      ), which might be only partly captured by single data modalities. Indeed, a neuroanatomical biomarker might be informative for genetically or pathophysiologically driven mechanisms given that genes’ effect may be closer to brain than to behavior (
      • Bertolino A.
      • Blasi G.
      The genetics of schizophrenia.
      ); on the other hand, neurocognitive performance might explain more environmentally driven variance relating, for example, to socioeconomic status (
      • Cuesta M.J.
      • Sánchez-Torres A.M.
      • Cabrera B.
      • Bioque M.
      • Merchán-Naranjo J.
      • Corripio I.
      • et al.
      Premorbid adjustment and clinical correlates of cognitive impairment in first-episode psychosis: The PEPsCog Study.
      ). Hence, a multimodal approach may be a viable way to reconcile and leverage information from single risk domains. Powerful new methodologies able to combine multiple sources of data, such as similarity network fusion (
      • Wang B.
      • Mezlini A.M.
      • Demir F.
      • Fiume M.
      • Tu Z.
      • Brudno M.
      • et al.
      Similarity network fusion for aggregating data types on a genomic scale.
      ), might be suitable for this purpose. Indeed, research has shown that a combination of clinical variables and structural brain imaging data might represent a promising multimodal framework for psychosis prediction (
      • Koutsouleris N.
      • Kambeitz-Ilankovic L.
      • Ruhrmann S.
      • Rosen M.
      • Ruef A.
      • Dwyer D.B.
      • et al.
      Prediction models of functional outcomes for individuals in the clinical high-risk state for psychosis or with recent-onset depression: A multimodal, multisite machine learning analysis.
      ,
      • Antonucci L.A.
      • Pergola G.
      • Pigoni A.
      • Dwyer D.
      • Kambeitz-Ilankovic L.
      • Penzel N.
      • et al.
      A pattern of cognitive deficits stratified for genetic and environmental risk reliably classifies patients with schizophrenia from healthy controls.
      ,
      • Strobl E.V.
      • Eack S.M.
      • Swaminathan V.
      • Visweswaran S.
      Predicting the risk of psychosis onset: Advances and prospects.
      ). Along these lines, Schmidt et al. (
      • Schmidt A.
      • Cappucciati M.
      • Radua J.
      • Rutigliano G.
      • Rocchetti M.
      • Dell’Osso L.
      • et al.
      Improving prognostic accuracy in subjects at clinical high risk for psychosis: Systematic review of predictive models and meta-analytical sequential testing simulation.
      ) devised a 3-stage sequential testing paradigm, which in theory reaches nearly perfect positive predictive value when individuals are tested on one multimodal modality (i.e., clinical and electroencephalography) and two biological data modalities (i.e., structural MRI and blood based). However, these findings are simulated, have not been confirmed in empirical studies yet, and did not follow a thorough meta-analytical approach like the one implemented here.
      Alternatively, similar performance of tested data modalities may have resulted from the variability induced by higher-order algorithm–data validation interactions. To thoroughly compare models originating from different data spaces, methodological consensus guidelines are urgently needed in the precision psychiatry field. A strict cross-study standardization, in terms of both data definitions and algorithm implementations, may shed light on real phenotypic and neurobiological differences and thus lead to unique insights into the pathology of emerging psychosis.

      At-Risk State/Sample Differences

      Another source of heterogeneity affecting our results may be due to clinical sample definitions. Most of the at-risk individuals in our sample fulfilled the UHR criteria, while a minority (5.7%) had an FR or a 22q11.2DS diagnosis, which prevented us from quantitatively estimating the effects of risk group designation. However, it is noteworthy that two of the instruments operationalizing UHR criteria (i.e., SIPS [Structured Interview for Prodromal Syndromes] and CAARMS [Comprehensive Assessment of At-Risk Mental States]) include a genetic risk group (i.e., the genetic risk deterioration syndrome) and that two studies in our sample included FRs and deletion syndrome patients with subthreshold psychotic symptoms (
      • Tylee D.S.
      • Kikinis Z.
      • Quinn T.P.
      • Antshel K.M.
      • Fremont W.
      • Tahir M.A.
      • et al.
      Machine-learning classification of 22q11.2 deletion syndrome: A diffusion tensor imaging study.
      ,
      • Zarogianni E.
      • Storkey A.J.
      • Johnstone E.C.
      • Owens D.G.C.
      • Lawrie S.M.
      Improved individualized prediction of schizophrenia in subjects at familial high risk, based on neuroanatomical data, schizotypal and neurocognitive features.
      ). This diagnostic overlap might create, on the one hand, a further source of variability and, on the other, a tangible bridge to the well-known heterogeneity among CHR individuals. This issue was tackled by a recent study (
      • Fusar-Poli P.
      • Cappucciati M.
      • Borgwardt S.
      • Woods S.W.
      • Addington J.
      • Nelson B.
      • et al.
      Heterogeneity of psychosis risk within individuals at clinical high risk: A meta-analytical stratification.
      ) that provided evidence of a differential risk level within the subcategories of the CHR construct. Hence, further research should put effort into revising the CHR paradigm toward a more parsimonious definition based on one gold-standard clinical instrument and clear-cut biological underpinnings.
      Furthermore, in our sample, criteria to define transition to psychosis or poor functional outcome differed both in their operationalization and in the threshold used within a specific diagnostic instrument. Another issue in the variability of outcome definition is dichotomization of continuous variables such as GAF and global functioning, which has proven to be a potential source of bias in prognostic models (
      • Moons K.G.M.
      • de Groot J.A.H.
      • Bouwmeester W.
      • Vergouwe Y.
      • Mallett S.
      • Altman D.G.
      • et al.
      Critical appraisal and data extraction for systematic reviews of prediction modelling studies: The CHARMS checklist.
      ,
      • Royston P.
      • Moons K.G.M.
      • Altman D.G.
      • Vergouwe Y.
      Prognosis and prognostic research: Developing a prognostic model.
      ). It is noteworthy that 1 study (
      • Mechelli A.
      • Lin A.
      • Wood S.
      • McGorry P.
      • Amminger P.
      • Tognin S.
      • et al.
      Using clinical information to make individualized prognostic predictions in people at ultra high risk for psychosis.
      ) addressed this point by conducting an additional analysis to investigate the continuous nature of functioning by using a support vector regression algorithm. The predictability of nontransition outcomes in at-risk individuals is still relatively unexplored. Therefore, there is a need for clinical consensus on relevant nontransition outcomes and how they should be assessed. Additionally, adopting adaptive risk models, which capture the high extent of variability of symptoms and risk factors over time (
      • Myin-Germeys I.
      • Kasanova Z.
      • Vaessen T.
      • Vachon H.
      • Kirtley O.
      • Viechtbauer W.
      • Reininghaus U.
      Experience sampling methodology in mental health research: New insights and technical developments.
      ), may tackle this complexity and provide more precise measurements of developing negative outcomes, as proposed by digital phenotyping approaches (
      • Insel T.R.
      Digital phenotyping: A global tool for psychiatry.
      ).
      Notably, CHR populations differ not only in their clinical picture but also along demographic and sociocultural dimensions (
      • Li H.
      • Shapiro D.I.
      • Seidman L.J.
      Handbook of Attenuated Psychosis Syndrome Across Cultures: International Perspectives on Early Identification and Intervention.
      ). For instance, American CHR individuals are usually younger (∼16–18 years) than their European counterparts (∼22–24 years). Interestingly, recent research has shown that neuroanatomical development and risk for developing psychosis are interconnected (
      • Chung Y.
      • Addington J.
      • Bearden C.E.
      • Cadenhead K.
      • Cornblatt B.
      • Mathalon D.H.
      • et al.
      Use of machine learning to determine deviance in neuroanatomical maturity associated with future psychosis in youths at clinically high risk.
      ,
      • Chung Y.
      • Addington J.
      • Bearden C.E.
      • Cadenhead K.
      • Cornblatt B.
      • Mathalon D.H.
      • et al.
      Adding a neuroanatomical biomarker to an individualized risk calculator for psychosis: A proof-of-concept study.
      ). This evidence might also reveal neurobiological processes leading to neurocognitive changes in the CHR state (
      • Kambeitz-Ilankovic L.
      • Haas S.S.
      • Meisenzahl E.
      • Dwyer D.B.
      • Weiske J.
      • Peters H.
      • et al.
      Neurocognitive and neuroanatomical maturation in the clinical high-risk states for psychosis: A pattern recognition study.
      ,
      • Koutsouleris N.
      • Davatzikos C.
      • Borgwardt S.
      • Gaser C.
      • Bottlender R.
      • Frodl T.
      • et al.
      Accelerated brain aging in schizophrenia and beyond: A neuroanatomical marker of psychiatric disorders.
      ). Overall, our findings suggest that the gestalt of the CHR state might be successfully modeled only if multiple behavioral and neurobiological moderators are conjointly considered using standardized multivariate methods, thereby fully embracing the complexity of this risk paradigm.

      Limitations

      Our meta-analysis was driven by the primary aim to evaluate the potential applicability of diagnostic and prognostic models in real-life clinical practice. Therefore, we focused only on the two currently prevailing methodological approaches (i.e., ML and Cox regression). Importantly, we might have missed significant results by excluding other more traditional statistical methods such as logistic regression (
      • Addington J.
      • Farris M.
      • Stowkowy J.
      • Santesteban-Echarri O.
      • Metzak P.
      • Kalathil M.S.
      Predictors of transition to psychosis in individuals at clinical high risk.
      ,
      • Moons K.G.M.
      • de Groot J.A.H.
      • Bouwmeester W.
      • Vergouwe Y.
      • Mallett S.
      • Altman D.G.
      • et al.
      Critical appraisal and data extraction for systematic reviews of prediction modelling studies: The CHARMS checklist.
      ), which has often been implemented for prognostic purposes (
      • Addington J.
      • Farris M.
      • Stowkowy J.
      • Santesteban-Echarri O.
      • Metzak P.
      • Kalathil M.S.
      Predictors of transition to psychosis in individuals at clinical high risk.
      ,
      • Moons K.G.M.
      • de Groot J.A.H.
      • Bouwmeester W.
      • Vergouwe Y.
      • Mallett S.
      • Altman D.G.
      • et al.
      Critical appraisal and data extraction for systematic reviews of prediction modelling studies: The CHARMS checklist.
      ), eventually showing higher performance than ML (
      • Perlis R.H.
      A clinical risk stratification tool for predicting treatment resistance in major depressive disorder.
      ). Nevertheless, ML approaches enable the investigation of the intrinsic complexity of specific data types (e.g., brain features) and are devised for better generalizability.
      Another limitation might be the lack of investigation into symptomatology, treatment, substance use, or additional comorbidities, which was due to missing or inconsistent information for several studies. Indeed, already in patients with first-episode psychosis, antipsychotic treatment has been shown to have neuroanatomical effects (
      • Lesh T.A.
      • Tanase C.
      • Geib B.R.
      • Niendam T.A.
      • Yoon J.H.
      • Minzenberg M.J.
      • et al.
      A multimodal analysis of antipsychotic effects on brain structure and function in first-episode schizophrenia.
      ), and continuous cannabis use has been shown to lead to worse outcomes (
      • Schoeler T.
      • Petros N.
      • Di Forti M.
      • Klamerus E.
      • Foglia E.
      • Murray R.
      • Bhattacharyya S.
      Poor medication adherence and risk of relapse associated with continued cannabis use in patients with first-episode psychosis: A prospective analysis.
      ). It is also plausible that the high variability of symptoms and clinical comorbidities in the CHR population (
      • Rutigliano G.
      • Valmaggia L.
      • Landi P.
      • Frascarelli M.
      • Cappucciati M.
      • Sear V.
      • et al.
      Persistence or recurrence of non-psychotic comorbid mental disorders associated with 6-year poor functional outcomes in patients at ultra high risk for psychosis.
      ) has further introduced spurious variance in our analyses.
      Furthermore, the CHR paradigm has proven to have intrinsic limitations. On the one hand, its predictive power might be partly driven by the so-called pretest risk enrichment; that is, the assessment of at-risk criteria in a specific constellation of help-seeking individuals (
      • Fusar-Poli P.
      • Schultze-Lutter F.
      • Cappucciati M.
      • Rutigliano G.
      • Bonoldi I.
      • Stahl D.
      • et al.
      The dark side of the moon: Meta-analytical impact of recruitment strategies on risk enrichment in the clinical high risk state for psychosis.
      ,
      • Fusar-Poli P.
      Why ultra high risk criteria for psychosis prediction do not work well outside clinical samples and what to do about it.
      ). On the other hand, it might not capture the full extent of risk in the population, as a recent study pointed out by reporting that most transitions occurred in patients with an unclear psychiatric diagnosis or no CHR status (
      • Fusar-Poli P.
      • Rutigliano G.
      • Stahl D.
      • Davies C.
      • Bonoldi I.
      • Reilly T.
      • McGuire P.
      Development and validation of a clinically based risk calculator for the transdiagnostic prediction of psychosis.
      ). Because most prognostic models have been developed for the CHR state, their usefulness outside of this category should be intensively investigated.
      Lastly, given the heterogeneity of our data and the publication bias detected, our meta-analysis is inherently limited to a description of, not an ultimate decision on, which diagnostic and prognostic models are sufficiently reliable to be applied in clinical settings.

      Conclusions

      A comprehensive paradigm shift is required to enable the clinical application of diagnostic and prognostic models for the CHR state. First, the field requires study design harmonization, which demands reliable methodological approaches such as CV or external validation to ensure generalizability. An approach to enhance the studies’ potential for real-life implementation could be a preregistration process similar to clinical trials, during which their validity in terms of standardized data acquisition, model discovery, and validation could be monitored. Furthermore, large-scale international model benchmarking at the level of external model validation can be achieved only by constructing common modeling platforms and open source model libraries. The National Institute of Mental Health’s Harmonization of At-Risk Multisite Observational Networks for Youth (HARMONY) is a first step in the above direction. Consortium-wise coordinated work will also allow strategic methodological testing; that is, controlled comparison of algorithms, preprocessing and feature optimization pipelines, and multiple data modalities (for an overview of conceptual and methodological guidelines, see Table 4). Multimodal ML carries the challenging responsibility to better disentangle the complex architecture of psychosis risk within a clinical consensus environment. This should involve efforts to unify the CHR definition, both theoretically and practically, and also to embrace relevant nontransition outcomes to broaden the prognostic scope. Future studies are warranted to investigate whether harmonizing procedures within precision psychiatry will lead to more reliable and reproducible translational research in the field.

      Acknowledgments and Disclosures

      This work was supported by a EU-FP7-HEALTH grant for the project “PRONIA” (Personalized Prognostic Tools for Early Psychosis Management) (Grant No. 602152) and by the National Institute of Mental Health (NIMH) for the project “HARMONY” (Harmonization of At Risk Multisite Observational Networks for Youth) (Grant No. MH081928). PRONIA, BMBF (Federal Ministry of Education and Research), and the Max Planck Society funded RS.
      NK received honoraria for two lectures from Otsuka. He has a patent issued related to adaptive pattern recognition for psychosis risk modeling (U.S. patent 20160192889A1). RS received honoraria for one lecture from Lundbeck. The other authors report no biomedical financial interests or potential conflicts of interest.

      Supplementary Material

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      Linked Article

      • Individualized Diagnostic and Prognostic Models for Psychosis Risk Syndromes: Do Not Underestimate Antipsychotic Exposure
        Biological PsychiatryVol. 90Issue 6
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          Research on clinical high risk for psychosis (CHR-P) is central for the early detection field and the deployment of suitable clinical care pathways aiming at preventing the consequences of psychosis. In the last decades, the field has been engaged in a robust effort to develop prognostic models for transdiagnostic staging and individualized risk stratification, as shown in the recent meta-analysis by Sanfelici et al. (1). However, in such vibrant yet tumultuous growth, the accelerated search for scalable predictors was not immune to disharmonies and involuntary distortions, such as the neglect of important clinical confounders.
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