A Metacompatibilist Account of Free Will: Making Compatibilists and Incompatibilists More Compatible

The debate over free will has pittedlibertarian insistence on open alternativesagainst the compatibilist view that authenticcommitments can preserve free will in adetermined world. A second schism in the freewill debate sets rationalist belief in thecentrality of reason against nonrationalistswho regard reason as inessential or even animpediment to free will. By looking deeperinto what motivates each of these perspectivesit is possible to find common ground thataccommodates insights from all those competingviews. The resulting metacompatibilist view offree will bridges some of the differencesbetween compatibilists and incompatibilists aswell as between rationalists andnonrationalists, and results in a free willtheory that is both more philosophicallyinclusive and more firmly connected tocontemporary research in psychology andbiology.     

The Sad Truth: Optimism, Pessimism, and Pragmatism

Pragmatists (such as William James) recommend optimism as a successful strategy, and recent psychological research has confirmed its value. But optimism comes at a price: optimists are less accurate in their assessments and expectations than are pessimists. Thus optimism 'proves itself to be good in the way of belief', and by pragmatic standards should count as true; but that makes the accuracy costs of optimism invisible (the problem is only exacerbated by Rorty's recommendation that pragmatists stop speaking of truth altogether). The problem prevents pragmatists from offering a Darwinian explanation of why pessimism survives, and also blocks any pragmatist account of the well-documented and highly successful exploratory behavior of many animal species.     

Perfectionism levels in African-American and Caucasian adolescents

Previous studies have indicated that perfectionism levels are higher among African-American females than among Caucasians. However, this conclusion has been reached largely from studies of adult populations. The present study of adolescents assesses whether this difference is found in all aspects of perfectionism, and whether it applies equally to males and females. The Multi-dimensional Perfectionism Scale was completed by 387 high school students (15–19 years). African-American males and females had greater levels of self-oriented and other-oriented perfectionism than their Caucasian peers, but there was no difference in the perception of external pressures to perform well. Possible reasons for this pattern are discussed, with an emphasis on the possibility that African-American adolescents perceive a need to overcorrect their performance as a result of their perceived status in their broader society.     

Factor analysis and scale revision

This article reviews methodological issues that arise in the application of exploratory factor analysis (EFA) to scale revision and refinement. The authors begin by discussing how the appropriate use of EFA in scale revision is influenced by both the hierarchical nature of psychological constructs and the motivations underlying the revision. Then they specifically address (a) important issues that arise prior to data collection (e.g., selecting an appropriate sample), (b) technical aspects of factor analysis (e.g., determining the number of factors to retain), and (c) procedures used to evaluate the outcome of the scale revision (e.g., determining whether the new measure functions equivalently for different populations).     

Using IRT to separate measurement bias from true group differences on homogeneous and heterogeneous scales: an illustration with the MMPI

The authors present a didactic illustration of how item response theory (IRT) can be used to separate measurement bias from true group differences on homogeneous and heterogeneous scales. Several bias detection methods are illustrated with 12 unidimensional Minnesota Multiphasic Personality Inventory (MMPI) factor scales (Waller, 1999) and the 13 multidimensional MMPI validity and clinical scales. The article begins with a brief review of MMPI bias research and nontechnical reviews of the 2-parameter logistic model (2-PLM) and several IRT-based methods for bias detection. A goal of this article is to demonstrate that homogeneous and heterogeneous scales that are composed of biased items do not necessarily yield biased test scores. To that end, the authors perform differential item- and test-functioning analyses on the MMPI factor, validity, and clinical scales using data from 511 Blacks and 1,277 Whites from the California Youth Authority.     

How many IRT parameters does it take to model psychopathology items?

The authors compared the fit of the 2- and 3-parameter logistic models (2PLM; 3PLM) on 15 unidimensional factor scales derived from the Minnesota Multiphasic Personality Inventory--Adolescent item pool. Log-likelihood chi-square deviance tests indicated that a 3PLM provided an improved fit. However, residual statistics indicated that the difference in fit between the 2 models was negligible. An unexpected finding was that from 10% to 30% of the items had substantial lower asymptote parameters (c > or = .10) when the scales were scored in the pathology or nonpathology directions. The authors argue that the large lower asymptote parameters are attributable to item-content ambiguity possibly caused by item-level multidimensionality. These findings suggest that the direction of scoring can critically affect an item response theory analysis.     

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.