Mixture Modeling Methods for the Assessment of Normal and Abnormal Personality, Part I: Cross-Sectional Models

Over the past 75 years, the study of personality and personality disorders has been informed considerably by an impressive array of psychometric instruments. Many of these tests draw on the perspective that personality features can be conceptualized in terms of latent traits that vary dimensionally across the population. A purely trait-oriented approach to personality, however, might overlook heterogeneity that is related to similarities among subgroups of people. This article describes how factor mixture modeling (FMM), which incorporates both categories and dimensions, can be used to represent person-oriented and trait-oriented variability in the latent structure of personality. We provide an overview of different forms of FMM that vary in the degree to which they emphasize trait- versus person-oriented variability. We also provide practical guidelines for applying FMM to personality data, and we illustrate model fitting and interpretation using an empirical analysis of general personality dysfunction.

[1]  F. Ostendorf DAPP-BQ - Dimensional Assessment of Personality Pathology - Basic Questionnaire , 2016 .

[2]  Diana Bohm,et al.  Applied Latent Class Analysis , 2016 .

[3]  Andreas Ritter,et al.  Structural Equations With Latent Variables , 2016 .

[4]  Tõnu Kollo,et al.  Communications in Statistics-Simulation and Computation , 2015 .

[5]  L. Clark Schedule for Nonadaptive and Adaptive Personality , 2014 .

[6]  R. Krueger,et al.  Toward a Model-Based Approach to the Clinical Assessment of Personality Psychopathology , 2014, Journal of personality assessment.

[7]  M. Carter Diagnostic and Statistical Manual of Mental Disorders, 5th ed. , 2014 .

[8]  B. Muthén,et al.  Models and Strategies for Factor Mixture Analysis: An Example Concerning the Structure Underlying Psychological Disorders , 2013, Structural equation modeling : a multidisciplinary journal.

[9]  Janet B W Williams,et al.  Diagnostic and Statistical Manual of Mental Disorders , 2013 .

[10]  Lori N. Scott,et al.  Clarifying interpersonal heterogeneity in borderline personality disorder using latent mixture modeling. , 2013, Journal of personality disorders.

[11]  M. Hallquist,et al.  Refining the phenotype of borderline personality disorder: Diagnostic criteria and beyond. , 2012, Personality disorders.

[12]  M. Shevlin,et al.  The latent structure of posttraumatic stress disorder: different models or different populations? , 2012, Journal of abnormal psychology.

[13]  T. Trull,et al.  Integrating competing dimensional models of personality: linking the SNAP, TCI, and NEO using Item Response Theory. , 2012, Personality disorders.

[14]  Gordon W. Allport,et al.  Concepts of Trait and Personality , 2012 .

[15]  S. Vrieze Model selection and psychological theory: a discussion of the differences between the Akaike information criterion (AIC) and the Bayesian information criterion (BIC). , 2012, Psychological methods.

[16]  E. Walker,et al.  Diagnostic and Statistical Manual of Mental Disorders , 2013 .

[17]  R. Krueger,et al.  Toward a Model for Assessing Level of Personality Functioning in DSM–5, Part II: Empirical Articulation of a Core Dimension of Personality Pathology , 2011, Journal of personality assessment.

[18]  M. Hallquist,et al.  Striking the (Im)Proper Balance between Scientific Advances and Clinical Utility: Commentary on the DSM-5 Proposal for Personality Disorders. , 2011, Personality disorders.

[19]  L. Siever,et al.  Proposed changes in personality and personality disorder assessment and diagnosis for DSM-5 Part I: Description and rationale. , 2011, Personality disorders.

[20]  R. Krueger,et al.  Contrasting prototypes and dimensions in the classification of personality pathology: evidence that dimensions, but not prototypes, are robust , 2010, Psychological Medicine.

[21]  Katherine E. Masyn,et al.  Exploring the Latent Structures of Psychological Constructs in Social Development Using the Dimensional-Categorical Spectrum. , 2010, Social development.

[22]  M. Brent Donnellan,et al.  How Should the Internal Structure of Personality Inventories Be Evaluated? , 2010, Personality and social psychology review : an official journal of the Society for Personality and Social Psychology, Inc.

[23]  M. Hallquist,et al.  Quantitative methods in psychiatric classification: the path forward is clear but complex: commentary on Krueger and Eaton (2010). , 2010, Personality disorders.

[24]  L. Clark,et al.  An item response theory integration of normal and abnormal personality scales. , 2010, Personality disorders.

[25]  B. Lahey,et al.  Public health significance of neuroticism. , 2009, The American psychologist.

[26]  D. Kilpatrick,et al.  The latent structure of posttraumatic stress disorder among adolescents. , 2009, Journal of traumatic stress.

[27]  B. Muthén,et al.  Running Head : MODELS AND STRATEGIES FOR FMA 1 Models and strategies for factor mixture analysis : Two examples concerning the structure underlying psychological disorders , 2009 .

[28]  Gitta Lubke,et al.  Distinguishing Between Latent Classes and Continuous Factors with Categorical Outcomes: Class Invariance of Parameters of Factor Mixture Models , 2008, Multivariate behavioral research.

[29]  R. Krueger,et al.  Capturing abnormal personality with normal personality inventories: an item response theory approach. , 2008, Journal of personality.

[30]  Kenneth N. Levy,et al.  Refining the borderline personality disorder phenotype through finite mixture modeling: implications for classification. , 2008, Journal of personality disorders.

[31]  G. Matthews,et al.  The SAGE handbook of personality theory and assessment. Volume 1, Personality theories and models , 2008 .

[32]  Phil Wood Confirmatory Factor Analysis for Applied Research , 2008 .

[33]  Gregory J. Boyle,et al.  The SAGE handbook of personality theory and assessment: Volume 2 — Personality measurement and testing , 2008 .

[34]  Niels G. Waller,et al.  Exploring personality through test construction: Development of the multidimensional personality questionnaire , 2008 .

[35]  Nils Lid Hjort,et al.  Model Selection and Model Averaging: Contents , 2008 .

[36]  J. Swanson,et al.  Subtypes versus severity differences in attention-deficit/hyperactivity disorder in the Northern Finnish Birth Cohort. , 2007, Journal of the American Academy of Child and Adolescent Psychiatry.

[37]  B. Muthén,et al.  Deciding on the Number of Classes in Latent Class Analysis and Growth Mixture Modeling: A Monte Carlo Simulation Study , 2007 .

[38]  P. Pilkonis,et al.  Screening for personality disorders. , 2007, Journal of personality disorders.

[39]  R. Krueger,et al.  Information-theoretic latent distribution modeling: distinguishing discrete and continuous latent variable models. , 2006, Psychological methods.

[40]  Tihomir Asparouhov,et al.  Item response mixture modeling: application to tobacco dependence criteria. , 2006, Addictive behaviors.

[41]  R. Krueger,et al.  Reinterpreting comorbidity: a model-based approach to understanding and classifying psychopathology. , 2006, Annual review of clinical psychology.

[42]  William Revelle,et al.  Estimating Generalizability to a Latent Variable Common to All of a Scale's Indicators: A Comparison of Estimators for ωh , 2006 .

[43]  B. Muthén Latent VariabLe Hybrids Overview of Old and new Models , 2006 .

[44]  Karen Bandeen-Roche,et al.  Residual Diagnostics for Growth Mixture Models , 2005 .

[45]  T. Widiger,et al.  Alternative dimensional models of personality disorder: finding a common ground. , 2005, Journal of personality disorders.

[46]  Avshalom Caspi,et al.  Personality development: stability and change. , 2005, Annual review of psychology.

[47]  B. Muthén,et al.  Investigating population heterogeneity with factor mixture models. , 2005, Psychological methods.

[48]  Kristian E Markon,et al.  PERSONALITY PROCESSES AND INDIVIDUAL DIFFERENCES Delineating the Structure of Normal and Abnormal Personality: An Integrative Hierarchical Approach , 2004 .

[49]  Yee Whye Teh,et al.  Semiparametric latent factor models , 2005, AISTATS.

[50]  M. Meulders,et al.  A conceptual and psychometric framework for distinguishing categories and dimensions. , 2005, Psychological review.

[51]  B. Roberts,et al.  Conscientiousness and health-related behaviors: a meta-analysis of the leading behavioral contributors to mortality. , 2004, Psychological bulletin.

[52]  Geoffrey J. McLachlan,et al.  Analyzing Microarray Gene Expression Data , 2004 .

[53]  P. Fayers Item Response Theory for Psychologists , 2004, Quality of Life Research.

[54]  Walter Mischel,et al.  Toward an integrative science of the person. , 2004, Annual review of psychology.

[55]  S. Finch,et al.  The Likelihood Ratio Test with the Box–Cox Transformation for the Normal Mixture Problem: Power and Sample Size Study , 2004 .

[56]  Yuhong Yang Can the Strengths of AIC and BIC Be Shared , 2005 .

[57]  Conor V Dolan,et al.  Weak measurement invariance with respect to unmeasured variables: an implication of strict factorial invariance. , 2003, The British journal of mathematical and statistical psychology.

[58]  M. Peruggia Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach (2nd ed.) , 2003 .

[59]  David R. Anderson,et al.  Model selection and multimodel inference : a practical information-theoretic approach , 2003 .

[60]  S. Ng,et al.  An Em-based Semi-parametric Mixture Model Approach to the Regression Analysis of Competing-risks Data , 2022 .

[61]  Niels G Waller,et al.  The path analysis controversy: a new statistical approach to strong appraisal of verisimilitude. , 2002, Psychological methods.

[62]  L. Clark,et al.  Two approaches to identifying the dimensions of personality disorder: Convergence on the five-factor model , 2002 .

[63]  R. Blair,et al.  Neurocognitive models of aggression, the antisocial personality disorders, and psychopathy , 2001, Journal of neurology, neurosurgery, and psychiatry.

[64]  W. Fleeson Toward a structure- and process-integrated view of personality: traits as density distribution of states. , 2001, Journal of personality and social psychology.

[65]  S. Whiteside,et al.  The Five Factor Model and impulsivity: using a structural model of personality to understand impulsivity , 2001 .

[66]  Nils Lid Hjort,et al.  Model Selection and Model Averaging , 2001 .

[67]  Geoffrey J. McLachlan,et al.  Finite Mixture Models , 2019, Annual Review of Statistics and Its Application.

[68]  Paul T. Costa,et al.  Cross-cultural personality assessment in psychiatric populations: The NEO-PI—R in the People's Republic of China. , 1999 .

[69]  P. Links,et al.  The Iowa Personality Disorder Screen: development and preliminary validation of a brief screening interview. , 1999, Journal of personality disorders.

[70]  B. Byrne Structural Equation Modeling with LISREL, PRELIS, and SIMPLIS: Basic Concepts, Applications, and Programming , 1998 .

[71]  Paul T. Costa,et al.  Cross-Cultural Assessment of the Five-Factor Model , 1998 .

[72]  S. Reise,et al.  Exploring the measurement invariance of psychological instruments: Applications in the substance use domain. , 1997 .

[73]  Paul A. Pilkonis,et al.  Scales for Personality Disorders Developed from the Inventory of Interpersonal Problems , 1996 .

[74]  G. Celeux,et al.  An entropy criterion for assessing the number of clusters in a mixture model , 1996 .

[75]  M. Tan,et al.  Random effects models in latent class analysis for evaluating accuracy of diagnostic tests. , 1996, Biometrics.

[76]  D. Watson,et al.  Constructing validity: Basic issues in objective scale development , 1995 .

[77]  W. Mischel,et al.  A cognitive-affective system theory of personality: reconceptualizing situations, dispositions, dynamics, and invariance in personality structure. , 1995, Psychological review.

[78]  Z. D. Feng,et al.  Using Bootstrap Likelihood Ratio in Finite Mixture Models , 1994 .

[79]  C. R. Cloninger,et al.  The temperament and character inventory (TCI) : a guide to its development and use , 1994 .

[80]  W. Meredith Measurement invariance, factor analysis and factorial invariance , 1993 .

[81]  Clifford M. Hurvich,et al.  Bias of the corrected AIC criterion for underfitted regression and time series models , 1991 .

[82]  Clifford M. Hurvich,et al.  Regression and time series model selection in small samples , 1989 .

[83]  B. Byrne,et al.  Testing for the equivalence of factor covariance and mean structures: The issue of partial measurement invariance. , 1989 .

[84]  Hans J. Eysenck,et al.  Genes, culture, and personality : an empirical approach , 1989 .

[85]  M. Drake Diagnostic and Statistical Manual of Mental Disorders (3rd ed. rev.) , 1988 .

[86]  G. McLachlan On Bootstrapping the Likelihood Ratio Test Statistic for the Number of Components in a Normal Mixture , 1987 .

[87]  L. Hayduk Structural equation modeling with LISREL , 1987 .

[88]  R. P. McDonald,et al.  Some algebraic properties of the Reticular Action Model for moment structures. , 1984, The British journal of mathematical and statistical psychology.

[89]  M. Humphreys,et al.  Personality, motivation, and performance: a theory of the relationship between individual differences and information processing. , 1984, Psychological review.

[90]  B. Muthén A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators , 1984 .

[91]  D. Bem,et al.  Constructing a theory of the triple typology: Some (second) thoughts on nomothetic and idiographic approaches to personality. , 1983, Journal of personality.

[92]  R. Michels,et al.  Diagnostic and Statistical Manual of Mental Disorders, 3rd ed , 1981 .

[93]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[94]  N. Sugiura Further analysts of the data by akaike' s information criterion and the finite corrections , 1978 .

[95]  H. Eysenck,et al.  Psychoticism as a dimension of personality , 1976 .

[96]  H. Akaike A new look at the statistical model identification , 1974 .

[97]  E. Thoma Interpersonal Diagnosis of Personality , 1965 .

[98]  J. Loevinger Objective Tests as Instruments of Psychological Theory , 1957 .

[99]  S. J. Beck The science of personality: nomothetic or idiographic? , 2011, Psychological review.

[100]  R. Cattell The Description and Measurement of Personality , 1947, Mental Health.

[101]  C. Allen Dimensions of Personality , 1947, Nature.