Examining Current Conceptualizations of Psychopathology With the MMPI–2/MMPI–2–RF Restructured Clinical Scales: Preliminary Findings From a Cross-Cultural Study

Watson (2005 Watson, D. (2005). Rethinking the mood and anxiety disorders: A quantitative hierarchical model for DSM–V. Journal of Abnormal Psychology, 114, 522–536.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]) proposed a hierarchical reorganization of the underlying structure of emotional disorders. This study cross-culturally evaluated Watson's (2005) structure of mood and anxiety disorders, using mainly dichotomous criteria, and explored the placement of obsessive–compulsive disorder (OCD) in this model. It also tested Sellbom, Ben-Porath, and Bagby's (2008) proposed elaboration of the 2-factor model (positive and negative activation) that incorporates a higher order dimension of demoralization. One hundred men and 133 women from psychiatric settings in Israel completed the Minnesota Multiphasic Personality Inventory–2 (Butcher et al., 2001 Butcher, J. N., Graham, J. R., Ben-Porath, Y. S., Tellegen, A., Dahlstrom, W. G., &; Kaemmer, B. (2001). Minnesota Multiphasic Personality Inventory–2 (MMPI–2): Manual for administration, scoring and interpretation (Rev. ed.). Minneapolis: University of Minnesota Press.[Crossref] , [Google Scholar]) and the Maudsley Obsessional–Compulsive Inventory (Hodgson &; Rachman, 1977 Hodgson, R. J., &; Rachman, S. (1977). Obsessive–compulsive complaints. Behaviour Research and Therapy, 15, 389–395.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). They were interviewed using the Mini International Neuropsychiatric Interview (Sheehan et al., 1998 Sheehan, D. V., Lecrubier, Y., Sheehan, K. H., Amorim, P., Janavs, J., &; Weiller, E. (1998). The Mini-International Neuropsychiatric Interview (M.I.N.I.): The development and validation of a structured diagnostic psychiatric interview for DSM–IV and ICD–10. Journal of Clinical Psychiatry, 59, 22–33.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). Confirmatory factor analyses replicated Watson's structure for women but not for men. Mixed results were obtained regarding OCD's location in the model. Findings among women support the applicability of Watson's (2005) model across a variety of assessment modalities, as well as in a different language and for diversified cultural backgrounds. This conclusion, however, should be tempered in consideration of the results among men. Findings also provide evidence of the importance of demoralization in mood and anxiety disorders.     

A Polytomous Model of Cognitive Diagnostic Assessment for Graded Data

Pursuing the line of the difference models in IRT (Thissen &; Steinberg, 1986 Thissen, D., &; Steinberg, L. (1986). A taxonomy of item response models. Psychometrika, 51:567–577. doi:10.1007/BF02295596.[Crossref], [Web of Science ®] , [Google Scholar]), this article proposed a new cognitive diagnostic model for graded/polytomous data based on the deterministic input, noisy, and gate (Haertel, 1989 Haertel, E. H. (1989). Using restricted latent class models to map the skill structure of achievement items. Journal of Educational Measurement, 26, 333–352. doi:10.1111/j.1745-3984.1989.tb00336.x.[Crossref], [Web of Science ®] , [Google Scholar]; Junker &; Sijtsma, 2001 Junker, B. W., &; Sijtsma, K. (2001). Cognitive assessment models with few assumptions, and connections with nonparametric item response theory. Applied Psychological Measurement, 25, 258–272. doi:10.1177/01466210122032064.[Crossref], [Web of Science ®] , [Google Scholar]), which is named the DINA model for graded data (DINA-GD). We investigated the performance of a full Bayesian estimation of the proposed model. In the simulation, the classification accuracy and item recovery for the DINA-GD model were investigated. The results indicated that the proposed model had acceptable examinees' correct attribute classification rate and item parameter recovery. In addition, a real-data example was used to illustrate the application of this new model with the graded data or polytomously scored items.     

Using the TAT to Assess the Relation Between Gender Identity and the Use of Defense Mechanisms

The purpose of this study is to explore whether 2 different dimensions of personality, when assessed at an implicit level with the Thematic Apperception Test (TAT; Murray, 1943 Murray, H. A. (1943). Thematic Apperception Test manual. Cambridge, MA: Harvard University Press. [Google Scholar]) will show a theoretically meaningful coherence not demonstrated when 1 is assessed at an implicit level and the other at an explicit level. Gender identity and defense mechanisms were assessed implicitly using the TAT. Gender identity was compared with a self-report measure of gender-related attributes assessed at the explicit level. The results showed a theoretically meaningful coherence when different dispositions were assessed at the same level, but a lack of agreement when similar dispositions were assessed at different levels. The study is based on a secondary analysis of data from 2 previously published papers (Cramer, 1998 Cramer, P. (1998). Threat to gender representation: Identity and identification. Journal of Personality, 66, 335–354.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]; Cramer &; Westergren, 1999 Cramer, P., &; Hogan, K. (1975). Sex differences in verbal and play fantasy. Developmental Psychology, 11, 145–154.[Crossref], [Web of Science ®] , [Google Scholar]).     

Calibrated Bayes Factors Should Not Be Used: A Reply to Hoijtink,van Kooten,and Hulsker

Hoijtink, Kooten, and Hulsker (2016 Hoijtink, H., van Kooten, P., &; Hulsker, K. (2016). Why Bayesian psychologists should change the way they use the Bayes factor. Multivariate Behavioral Research, 51, 1--9. doi: 10.1080/00273171.2014.969364.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) present a method for choosing the prior distribution for an analysis with Bayes factor that is based on controlling error rates, which they advocate as an alternative to our more subjective methods (Morey &; Rouder, 2014 Morey, R.D., &; Rouder, J.N. (2014). Bayesfactor: Computation of Bayes factors for common designs. R package version 0.9.9. Retrieved from http://CRAN.R-project.org/package=BayesFactor [Google Scholar]; Rouder, Speckman, Sun, Morey, &; Iverson, 2009 Rouder, J.N., Speckman, P.L., Sun, D., Morey, R.D., &; Iverson, G. (2009). Bayesian t-tests for accepting and rejecting the null hypothesis. Psychonomic Bulletin and Review, 16, 225–237. doi: 10.3758/PBR.16.2.225[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]; Wagenmakers, Wetzels, Borsboom, &; van der Maas, 2011 Wagenmakers, E.-J., Wetzels, R., Borsboom, D., &; van der Maas, H. (2011). Why psychologists must change the way they analyze their data: The case of psi. A comment on Bem (2011). Journal of Personality and Social Psychology, 100, 426–432. doi: 10.1037/a0022790[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). We show that the method they advocate amounts to a simple significance test, and that the resulting Bayes factors are not interpretable. Additionally, their method fails in common circumstances, and has the potential to yield arbitrarily high Type II error rates. After critiquing their method, we outline the position on subjectivity that underlies our advocacy of Bayes factors.     

Model Conditioned Data Elasticity in Path Analysis: Assessing the “Confoundability” of Model/Data Characteristics

Much research has been directed at the validity of fit indices in Path Analysis and Structural Equation Modeling (e.g., Browne, MacCallum, Kim, Andersen, &; Glaser, 2002 Browne, M.W., MacCallum, R.C., Kim, C.T., Andersen, B.L., &; Glaser, R. (2002). When fit indices and residuals are incompatible. Psychological Methods, 7, 403–421.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]; Heene, Hilbert, Draxler, Ziegler, &; Bühner, 2011 Heene, M., Hilbert, S., Draxler, C., Ziegler, M., &; Bühner, M. (2011). Masking misfit in confirmatory factor analysis by increasing unique variances: A cautionary note on the usefulness of cutoff values of fit indices. Psychological Methods, 16(3), 319–336.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]; Hu &; Bentler, 1999 Hu, L., &; Bentler, P. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, J., 6(1), 1–55.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]; Marsh, Hau, &; Wen, 2004 Marsh, H.W., Hau, K.T., &; Wen, Z. (2004). In search of golden rules: Comment on hypothesis-testing approaches to setting cutoff values for fit indexes and dangers in overgeneralizing Hu and Bentler’s (1999) findings. Structural Equation Modeling, 11(3), 320–341.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]). Recent developments (e.g., Preacher, 2006 Preacher, K.J. (2006). Quantifying parsimony in structural equation modeling. Multivariate Behavioral Research, 41(3), 227–259.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]; Roberts &; Pashler, 2000 Roberts, S., &; Pashler, H. (2000). How persuasive is a good fit? A comment on theory testing. Psychological Review, 107(2), 358–367.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar], 2002 Roberts, S., &; Pashler, H. (2002). Reply to Rodgers and Rowe (2002). Psychological Review, 109(3), 605–607.[Crossref] , [Google Scholar]) have encouraged researchers to investigate other criteria for comparing models, including model complexity. What has not been investigated is the inherent ability of a particular data set to be fitted with a constrained set of randomly generated linear models, which we call Model Conditioned Data Elasticity (DE). In this article we show how DE can be compared with the problem of equivalent models and a more general problem of the “confoundability” of data/model combinations (see MacCallum, Wegener, Uchino, &; Fabrigar, 1993 MacCallum, R.C., Wegener, D.T., Uchino, B.N., &; Fabrigar, L.R. (1993). The problem of equivalent models in applications of covariance structure analysis. Psychological Bulletin, 114(1), 185–199.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). Using the DE package in R, we show how DE can be assessed through automated computer searches. Finally, we discuss how DE fits within the controversy surrounding the use of fit statistics.     

Motive Arousal Without Pictures? An Experimental Validation of a Hybrid Implicit Motive Test

Pictures are widely used as stimuli in implicit motive tests. Hybrid forms of such tests present pictures and declarative statements underneath pictures. Some authors have argued that explicitly declaring agreement with motive-related statements presented underneath pictures might shift the validity of such tests from capturing less implicit motives to more explicit motives. If that is the case, pictures as elicitors of implicit motives might become less relevant. Adopting the views on validity presented by Borsboom, Mellenbergh, and van Heerden (2004 Borsboom, D., Mellenbergh, G. J., &; van Heerden, J. (2004). The concept of validity. Psychological Review, 111, 1061–1071. doi:10.1037/0033-295X.111.4.1061[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]) and Bornstein (2011 Bornstein, R. F. (2011). Toward a process-focused model of test score validity: Improving psychological assessment in science and practice. Psychological Assessment, 23, 532–544. doi:10.1037/a0022402[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]), as well as item generation theory, we investigated whether the availability of pictures in hybrid motive tests causally affects test scores. To this end, we administered the Multi-Motive Grid (MMG; Sokolowski, Schmalt, Langens, &; Puca, 2000 Sokolowski, K., Schmalt, H.-D., Langens, T. A., &; Puca, R. M. (2000). Assessing achievement, affiliation, and power motives all at once: The Multi-Motive-Grid (MMG). Journal of Personality Assessment, 74, 126–145. doi:10.1207/S15327752JPA740109[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]), as an example of a hybrid motive test, either with or without pictures to 108 participants. Results revealed that the availability of pictures had no effect on 3 out of 6 test scores. Furthermore, eliminating pictures had only inconsistent effects on correlations with a test of explicit motives. We conclude that pictures might not unanimously elicit motives in implicit motive tests that use declarative statements as response options.     

Amplitude and Width Manipulations in Fitts' Paradigm: Comment on Heath et al. (2011) and Heath et al. (2016)

Heath, Weiler, Marriott, Elliott, and Binstead (2011 Heath, M., Weiler, J., Marriott, K. A., Elliott, D., &; Binstead, G. (2011). Revisiting Fitts and Peterson (1964): Width and Amplitude manipulations to the reaching environment elicit dissociable movement times. Canadian Journal of Experimental Psychology, 65, 259–268.1.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]) and Heath, Samani, Tremblay, and Elliott (2016 Heath, M., Samani, A., Tremblay, L., &; Elliott, D. (2016). Fitts' theorem in oculomotor control: Dissociable movement times for amplitude and width manipulations. Journal of Motor Behavior, 48, 489–499.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) have claimed that there are dissociable movement times for amplitude and width manipulations in the Fitts' paradigm. This may to some extent be true, but the Heath et al. (2011 Heath, M., Weiler, J., Marriott, K. A., Elliott, D., &; Binstead, G. (2011). Revisiting Fitts and Peterson (1964): Width and Amplitude manipulations to the reaching environment elicit dissociable movement times. Canadian Journal of Experimental Psychology, 65, 259–268.1.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]) and Heath et al. (2016 Heath, M., Samani, A., Tremblay, L., &; Elliott, D. (2016). Fitts' theorem in oculomotor control: Dissociable movement times for amplitude and width manipulations. Journal of Motor Behavior, 48, 489–499.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) data do not support that contention, as shown in this comment. It is shown that data from the research of Heath et al. is not in the range of index of difficulty where ongoing visual control would be used and hence their fits of data to Fitts' law are spurious. The data of Heath et al. (2011 Heath, M., Weiler, J., Marriott, K. A., Elliott, D., &; Binstead, G. (2011). Revisiting Fitts and Peterson (1964): Width and Amplitude manipulations to the reaching environment elicit dissociable movement times. Canadian Journal of Experimental Psychology, 65, 259–268.1.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]) for arm movements and for the primary eye saccade submovements of Heath et al. (2016 Heath, M., Samani, A., Tremblay, L., &; Elliott, D. (2016). Fitts' theorem in oculomotor control: Dissociable movement times for amplitude and width manipulations. Journal of Motor Behavior, 48, 489–499.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) are well correlated by the ballistic movement time equation of Hoffmann (1981 Hoffmann, E. R. (1981). An ergonomic approach to predetermined motion time systems. Proceedings of the 9th National Conference of the Institute of Industrial Engineers, Australia, 30–47. [Google Scholar]) and Gan and Hoffmann (1988 Gan, K.-C. &; Hoffmann, E. R. (1988). Geometrical conditions for ballistic and visually controlled movements. Ergonomics, 31, 829–839.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]). When the ballistic equation is used to model data for constant amplitude and constant target width conditions, the effects of the amplitude and width manipulations disappear. Other research indicates that the independent effects of movement amplitude occur due to changes in the time for the distance-covering phase of the movement.     

The Structure of Multidimensional Perfectionism: Support for a Bifactor Model With a Dominant General Factor

Evidence suggests perfectionism is a multidimensional construct composed of 2 higher order factors: perfectionistic strivings and perfectionistic concerns. However, the substantial overlap between perfectionistic strivings and perfectionistic concerns is problematic, as are the unanswered questions regarding the structure of perfectionism following removal of common variance. This research addressed this through bifactor modeling. Three student samples (N = 742) completed Hewitt and Flett's (1991 Hewitt, P. L., &; Flett, G. L. (1991). Perfectionism in the self and social contexts: Conceptualization, assessment, and association with psychopathology. Journal of Personality and Social Psychology, 60, 456.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]) Multidimensional Perfectionism Scale, Frost, Marten, Lahart, and Rosenblate's (1990 Frost, R. O., Marten, P., Lahart, C., &; Rosenblate, R. (1990). The dimensions of perfectionism. Cognitive Therapy and Research, 14, 449–468.[Crossref], [Web of Science ®] , [Google Scholar]) Multidimensional Perfectionism Scale, and Slaney, Rice, Mobley, Trippi, and Ashby's (2001 Slaney, R. B., Rice, K. G., Mobley, M., Trippi, J., &; Ashby, J. S. (2001). The revised almost perfect scale. Measurement and Evaluation in Counseling and Development, 34, 130–145.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) Almost Perfect Scale–Revised. Greater support was consistently found for the bifactor model, relative to the 2-factor model. Results suggest the bifactor model best represents the structure of perfectionism and provide preliminary support for the use of a general factor score. Researchers are cautioned that removal of general variance may render the reliability of specific factors (i.e., perfectionistic strivings and perfectionistic concerns) suspect.     

Patient Personality and Relational Patterns in Psychotherapy: Factor Structure,Reliability, and Validity of the Psychotherapy Relationship Questionnaire

The aim of this study was to examine the factor structure and the psychometric properties of the Psychotherapy Relationship Questionnaire (PRQ; Bradley, Heim, &; Westen, 2005 Bradley, R., Heim, A. K., &; Westen, D. (2005). Transference patterns in the psychotherapy of personality disorders: Empirical investigation. The British Journal of Psychiatry, 186, 342–349. doi:10.1192/bjp.186.4.342[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]), a clinician report instrument that measures a wide spectrum of thoughts, feelings, motives, conflicts, and behaviors expressed by patients toward their therapists in psychotherapy. A national sample of psychiatrists and clinical psychologists (N = 314) of different theoretical orientations completed the PRQ, as well as the Shedler–Westen Assessment Procedure–200 (SWAP–200; Westen &; Shedler, 1999a Westen, D., &; Shedler, J. (1999a). Revising and assessing Axis II, Part I: Developing a clinically and empirically valid assessment method. The American Journal of Psychiatry, 156, 258–272.[PubMed], [Web of Science ®] , [Google Scholar], 1999b Westen, D., &; Shedler, J. (1999a). Revising and assessing Axis II, Part I: Developing a clinically and empirically valid assessment method. The American Journal of Psychiatry, 156, 258–272.[PubMed], [Web of Science ®] , [Google Scholar]) to assess the personality of a patient in their care. Factor-analytic procedures identified 6 transference dimensions that showed excellent internal consistencies: (a) hostile, (b) positive/working alliance, (c) special/entitled, (d) anxious/preoccupied, (e) avoidant/dismissing attachment, and (f) sexualized. Factor scores were significantly related to patients’ personality characteristics and psychological functioning, regardless of the clinicians’ orientations. The findings support that the PRQ is a valid and reliable tool for evaluating the patients’ relational patterns emerging in clinical practice in a clinically coherent and psychometrically robust way. Clinicians’ careful understanding of these patterns can be very useful for making accurate diagnostic formulations, as well as for providing a roadmap for effective therapeutic intervention.     

How Robust is the Influence of Causal Explanation on Clinical Judgments? Assessments in Structured Clinical Interviews

When causal life-event explanations for disorder symptoms are available, clinicians tend to explain away those symptoms (Ahn, Novick, &; Kim, 2003 Ahn, W., Novick, L. R., &; Kim, N. S. (2003). Understanding behavior makes it normal. Psychonomic Bulletin Review, 10(3), 746–752. doi:10.3758/BF03196541[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]; Meehl, 1973 Meehl, P. E. (1973). Why I do not attend case conferences. In P. Meehl (Ed.), Psychodiagnosis: Selected papers (pp. 225–302). Minneapolis, MN: University of Minnesota Press. [Google Scholar]), eschewing formal diagnostic guidelines such as the DSM-5 (American Psychiatric Association, 2013 American Psychiatric Association [APA]. (2013). Diagnostic and statistical manual of mental disorders (5th ed.). Arlington, VA: American Psychiatric Publishing.[Crossref] , [Google Scholar]). We asked whether this effect is attenuated in the context of a structured diagnostic clinical interview procedure, which deliberately directs evaluators' attention to symptoms alone, or whether it is robust enough to continue to emerge. Across two experiments, lay evaluators given causal life-event explanations for disordered behaviors gave them lower judgments of abnormality and need for treatment compared to evaluators not given such explanations, regardless of whether they used a structured clinical interview. Thus, causal life-event explanations may have significant impact on clinical evaluations regardless of the mode of assessment. Implications for the clinical utility of structured interviews and the role of life-event context in diagnosis and classification are discussed.     

Addressing Item-Level Missing Data: A Comparison of Proration and Full Information Maximum Likelihood Estimation

Often when participants have missing scores on one or more of the items comprising a scale, researchers compute prorated scale scores by averaging the available items. Methodologists have cautioned that proration may make strict assumptions about the mean and covariance structures of the items comprising the scale (Schafer &; Graham, 2002 Schafer, J.L., &; Graham, J.W. (2002). Missing data: Our view of the state of the art. Psychological Methods, 7, 147–177.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]; Graham, 2009 Graham, J.W. (2009). Missing data analysis: Making it work in the real world. Annual Review of Psychology, 60, 549–576.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]; Enders, 2010 Enders, C.K. (2010). Applied missing data analysis. New York, NY: Guilford Press. [Google Scholar]). We investigated proration empirically and found that it resulted in bias even under a missing completely at random (MCAR) mechanism. To encourage researchers to forgo proration, we describe a full information maximum likelihood (FIML) approach to item-level missing data handling that mitigates the loss in power due to missing scale scores and utilizes the available item-level data without altering the substantive analysis. Specifically, we propose treating the scale score as missing whenever one or more of the items are missing and incorporating items as auxiliary variables. Our simulations suggest that item-level missing data handling drastically increases power relative to scale-level missing data handling. These results have important practical implications, especially when recruiting more participants is prohibitively difficult or expensive. Finally, we illustrate the proposed method with data from an online chronic pain management program.     

Development of the Short Version of the Individuation Test for Emerging Adults (ITEA–S) and Its Measurement Invariance Across Slovene and U.S. Emerging Adults

In this study we developed a short version of the Individuation Test for Emerging Adults (ITEA–S) and tested its measurement invariance across Slovene and U.S. samples of emerging adults. The item reduction process resulted in retaining 21 out of 36 items. The content analysis of the retained and discarded items revealed that the ITEA–S adequately measures the 5 individuation domains (support seeking, connectedness, intrusiveness, self-reliance, and fear of disappointing the parent). In our samples, the ITEA–S demonstrated evidence for construct validity and its 5 scales showed adequate internal consistency. The scale scores were also meaningfully associated with the relevant demographic variables in both countries, as well as the three scales of the Psychological Separation Inventory (Hoffman, 1984 Hoffman, J. A. (1984). Psychological separation of late adolescents from their parents. Journal of Counseling Psychology, 31, 170–178.[Crossref], [Web of Science ®] , [Google Scholar]; the Slovene sample), and the scales of the Differentiation of Self–Revised questionnaire (Skowron &; Schmitt, 2003 Skowron, E. A., &; Schmitt, T. A. (2003). Assessing interpersonal fusion: Reliability and validity of a new DSI Fusion with Others subscale. Journal of Marital and Family Therapy, 29, 209–222.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]; the U.S. sample). The results of multiple group confirmatory factor analyses supported the hypothesis of full metric and partial scalar invariance for both ITEA–S forms (in relation to mother and father) across the 2 country groups.     

An Introduction to Kristof’s Theorem for Solving Least-Square Optimization Problems Without Calculus

Kristof’s Theorem (Kristof, 1970 Kristof, W. (1970). A theorem on the trace of certain matrix products and some applications. Journal of Mathematical Psychology, 7(3), 515–530. https://doi.org/10.1016/0022-2496(70)90037-4[Crossref], [Web of Science ®] , [Google Scholar]) describes a matrix trace inequality that can be used to solve a wide-class of least-square optimization problems without calculus. Considering its generality, it is surprising that Kristof’s Theorem is rarely used in statistics and psychometric applications. The underutilization of this method likely stems, in part, from the mathematical complexity of Kristof’s (1964 Kristof, W. (1964). Die beste orthogonale Transformation zur gegenseitigen Uberfiihrung zweier Faktorenmatrizen. Diagnostica, 10, 87–90. [Google Scholar], 1970 Kristof, W. (1970). A theorem on the trace of certain matrix products and some applications. Journal of Mathematical Psychology, 7(3), 515–530. https://doi.org/10.1016/0022-2496(70)90037-4[Crossref], [Web of Science ®] , [Google Scholar]) writings. In this article, I describe the underlying logic of Kristof’s Theorem in simple terms by reviewing four key mathematical ideas that are used in the theorem’s proof. I then show how Kristof’s Theorem can be used to provide novel derivations to two cognate models from statistics and psychometrics. This tutorial includes a glossary of technical terms and an online supplement with R (R Core Team, 2017 R Core Team (2017). R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing. Retrieved from https://www.R-project.org/ [Google Scholar]) code to perform the calculations described in the text.     

Theory and Analysis of Total,Direct, and Indirect Causal Effects

Mediation analysis, or more generally models with direct and indirect effects, are commonly used in the behavioral sciences. As we show in our illustrative example, traditional methods of mediation analysis that omit confounding variables can lead to systematically biased direct and indirect effects, even in the context of a randomized experiment. Therefore, several definitions of causal effects in mediation models have been presented in the literature (Baron &; Kenny, 1986 Baron, R.M., &; Kenny, D.A. (1986). The moderator-mediator variable distinction in social psychological research: Conceptual, strategic and statistical considerations. Journal of Personality and Social Psychology, 51, 1173–1182. doi:10.1037/0022-3514.51.6.1173[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]; Imai, Keele, &; Tingley, 2010 Imai, K., Keele, L., &; Tingley, D. (2010). A general approach to causal mediation analysis. Psychological Methods, 15, 309–334. doi:10.1037/a0020761[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]; Pearl, 2012 Pearl, J. (2012). The causal mediation formula: A guide to the assessment of pathways and mechanisms. Prevention Science, 13, 426–436. doi:10.1007/s11121-011-0270-1[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). We illustrate the stochastic theory of causal effects as an alternative foundation of causal mediation analysis based on probability theory. In this theory we define total, direct, and indirect effects and show how they can be identified in the context of our illustrative example. A particular strength of the stochastic theory of causal effects are the causality conditions that imply causal unbiasedness of effect estimates. The causality conditions have empirically testable implications and can be used for covariate selection. In the discussion, we highlight some similarities and differences of the stochastic theory of causal effects with other theories of causal effects.     

Why Bayesian Psychologists Should Change the Way They Use the Bayes Factor

The discussion following Bem’s (2011 Bem, D. J. (2011). Feeling the future: Experimental evidence for anomalous retroactive influences on cognition and affect. Journal of Personality and Social Psychology, 100, 407–425. doi: 10.1037/a0021524[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]) psi research highlights that applications of the Bayes factor in psychological research are not without problems. The first problem is the omission to translate subjective prior knowledge into subjective prior distributions. In the words of Savage (1961 Savage, L. J. (1961). The foundations of statistical inference reconsidered. In J. Neyman, (Ed.), Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume 1: Contributions to the Theory of Statistics, pp. 575–586. BerkeleyCA: University of California. [Google Scholar]): “they make the Bayesian omelet without breaking the Bayesian egg.” The second problem occurs if the Bayesian egg is not broken: the omission to choose default prior distributions such that the ensuing inferences are well calibrated. The third problem is the adherence to inadequate rules for the interpretation of the size of the Bayes factor. The current paper will elaborate these problems and show how to avoid them using the basic hypotheses and statistical model used in the first experiment described in Bem (2011 Bem, D. J. (2011). Feeling the future: Experimental evidence for anomalous retroactive influences on cognition and affect. Journal of Personality and Social Psychology, 100, 407–425. doi: 10.1037/a0021524[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). It will be argued that a thorough investigation of these problems in the context of more encompassing hypotheses and statistical models is called for if Bayesian psychologists want to add a well-founded Bayes factor to the tool kit of psychological researchers.     

Bayes Factors Have Frequency Properties—This Should Not Be Ignored: A Rejoinder to Morey,Wagenmakers, and Rouder

Hoijtink, van Kooten, and Hulsker (2016 Hoijtink, H., van Kooten, P., &; Hulsker, K. (2016). Why Bayesian psychologists should change the way they used the Bayes factor. Multivariate Behavioral Research, 51, 1--9. doi: 10.1080/00273171.2014.969364.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) outline a research agenda for Bayesian psychologists: evaluate and use the frequency properties of Bayes factors. Morey, Wagenmakers, and Rouder (2016 Morey, R. D., Wagenmakers, E. -J., &; Rouder, J. N. (2016). Calibrated Bayes factors should not be used: A reply to Hoijtink, van Kooten, and Hulsker. Multivariate Behavioral Research, 51, 10--17. doi: 10.1080/00273171.2015.1052710.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) respond that Bayes factors calibrated using frequency properties should not be used. This paper contains the response of Hoijtink, van Kooten, and Hulsker to the criticism of Morey, Wagenmakers, and Rouder (2016 Morey, R. D., Wagenmakers, E. -J., &; Rouder, J. N. (2016). Calibrated Bayes factors should not be used: A reply to Hoijtink, van Kooten, and Hulsker. Multivariate Behavioral Research, 51, 10--17. doi: 10.1080/00273171.2015.1052710.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]).     

Computer Scoring of Emotional Awareness in a Nonclinical Population of Young Adults

The Levels of Emotional Awareness Scale (LEAS; Lane, Quinlan, Schwartz, Walker, &; Zeitlin, 1990 Lane, R. D., Quinlan, D. M., Schwartz, G. E., Walker, P. A., &; Zeitlin, S. B. (1990). The Levels of Emotional Awareness Scale: A cognitive-developmental measure of emotion. Journal of Personality Assessment, 55, 124–134. doi:10.1207/s15327752jpa5501&;2_12[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) is an open-ended measure of the ability to describe emotional reactions. Scoring the LEAS by hand is complex and time consuming (Barchard, Bajgar, Leaf, &; Lane, 2010 Barchard, K. A., Bajgar, J., Leaf, D. E., &; Lane, R. D. (2010). Computer scoring of the Levels of Emotional Awareness Scale. Behavior Research Methods, 42, 586–595. doi:10.3758/BRM.42.2.586[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). Therefore, Program for Open-Ended Scoring (POES; Leaf &; Barchard, 2010 Leaf, D. E., &; Barchard, K. A. (2010). Program for Open-Ended Scoring [POES] version 1.4.1 [Unpublished program]. Available from Kim Barchard, Department of Psychology, University of Nevada, Las Vegas, 4505 Maryland Parkway, Las Vegas, NV, 89154–5030, kim.barchard@unlv.edu [Google Scholar]) was designed to score the LEAS quickly and easily. Using 268 undergraduates, this article compares traditional LEAS hand scoring to 6 POES methods, 2 of which are holistic methods that have never before been examined. Based on split-half reliability, correlations with measures of emotional and social intelligence, and partial correlations once response length and vocabulary were partialed out, we recommend 3 of the POES methods when testing nonclinical samples of young adults. Because POES scoring is fast and efficient, it allows more researchers and clinicians to use the LEAS, thus moving away from self-report measures of emotional awareness.     

The Impact of Strategic Trajectory Optimization on Illusory Target Biases During Goal-Directed Aiming

During rapid aiming, movements are planned and executed to avoid worst-case outcomes that require time and energy to correct. As such, downward movements initially undershoot the target to avoid corrections against gravity. Illusory target context can also impact aiming bias. Here, the authors sought to determine how strategic biases mediate illusory biases. Participants aimed to Müller-Lyer figures in different directions (forward, backward, up, down). Downward biases emerged late in the movement and illusory biases emerged from peak velocity. The illusory effects were greater for downward movements at terminal endpoint. These results indicate that strategic biases interact with the limb-target control processes associated with illusory biases. Thus, multiple control processes during rapid aiming may combine and later affect endpoint accuracy (D. Elliott et al., 2010 Elliott, D., Hansen, S., Grierson, L. E. M., Lyons, J., Bennett, S. J., &; Hayes, S. J. (2010). Goal-directed aiming: two components but multiple processes. Psychological Bulletin, 136, 1023–1044.[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]).