Testing for Measurement Invariance with Respect to an Ordinal Variable

Researchers are often interested in testing for measurement invariance with respect to an ordinal auxiliary variable such as age group, income class, or school grade. In a factor-analytic context, these tests are traditionally carried out via a likelihood ratio test statistic comparing a model where parameters differ across groups to a model where parameters are equal across groups. This test neglects the fact that the auxiliary variable is ordinal, and it is also known to be overly sensitive at large sample sizes. In this paper, we propose test statistics that explicitly account for the ordinality of the auxiliary variable, resulting in higher power against “monotonic” violations of measurement invariance and lower power against “non-monotonic” ones. The statistics are derived from a family of tests based on stochastic processes that have recently received attention in the psychometric literature. The statistics are illustrated via an application involving real data, and their performance is studied via simulation.     

The Oxford Happiness Questionnaire: Transformation from an Ordinal to an Interval Measure Using Rasch Analysis

The scientific study of happiness requires accurate measurement of the construct that satisfies assumptions of parametric statistics and thus allows both researchers and clinicians to make reliable and valid comparisons with the relevant data sources. The 29-item Oxford Happiness Questionnaire (OHQ) is a widely-used scale for assessment of personal happiness. While its psychometric properties are acknowledged to be acceptable, it presents scores on an ordinal scale and may thus not discriminate precisely between individual happiness levels. The current study aimed to improve precision and item functioning of the OHQ by applying Rasch analysis to a sample of 281 participants. To correct disordered thresholds items were rescored in a uniform fashion. Four items displayed poor relationships with the latent trait of happiness and were removed. Best fit to the unidimensional Rasch model was achieved after locally dependent items were combined into subtests and adjusted for personal differences. Using the ordinal-to-interval conversion tables published here, ordinal OHQ scores can now be transformed to interval level data and thus subjected to parametric statistical analysis without violating fundamental assumptions. The precision of the instrument can be improved significantly by these minor modifications without the need to modify the original response format.     

Introduction to Stephen G. West's Murray Award Address

I am honored to introduce Stephen G. West, the winner of the Henry A. Murray Award for Outstanding Contributions to Personology and the Study of Human Lives. Steve's contributions as a methodologist and statistician are appreciated by anyone who has struggled with complex interactions and unusual research designs. These empirical innovations have contributed enormously to broadening and deepening the kinds of data that can be used to study personality. Perhaps less apparent, but crucial in his selection for this award, is Steve's leadership in diversifying the field of personality psychology. In his capacity as editor of the Journal of Personality in the 1980s and early 1990s, Steve effectively shepherded personology into the mainstream of personality research. Also important was Steve's willingness not only to mentor his own graduate students, but to rescue a considerable number of strays. In his generativity and inclusiveness, Steve has effectively elevated the field of personality and the persons within it.     

Rorty's Debt to Sellarsian Metaphysics

Rorty regards himself as furthering the project of the Enlightenment by separating Enlightenment liberalism from Enlightenment rationalism. To do so, he rejects the very need for explicit metaphysical theorizing. Yet his commitments to naturalism, nominalism, and the irreducibility of the normative come from the metaphysics of Wilfrid Sellars. Rorty's debt to Sellars is concealed by his use of Davidsonian arguments against the scheme/content distinction and the nonsemantic concept of truth. The Davidsonian arguments are used for Deweyan ends: to advance secularization and anti‐authoritarianism. However, Rorty's conflation of theology and metaphysics conceals the possibility of post‐theological metaphysics. The key distinction lies between “metaphysics” and “Metaphysics.” The former provisionally models the relations between different vocabularies; the latter continues theology by other means. Sellars shows how to do metaphysics without Metaphysics. This approach complements Rorty's prioritization of cultural politics over ontology and his vision of Enlightenment liberalism without Enlightenment rationalism.