VOLUNTARY AFFIRMATIVE ACTION AND PREFERENTIAL TREATMENT: LEGAL AND RESEARCH IMPLICATIONS

This paper provides a review of recent Supreme Court decisions stemming from the implementation of voluntary AAPs that include preferential treatment as a remedy; the evidence and proof required to establish and defend against reverse discrimination claims is identified. Overall, the courts sanctioned the use of preferential treatment if it occured as part of a well-conceived AAP. However, differences were found in the manner in which the courts adjudicated Title VII and constitutional claims of preferential treatment. The discussion examines research on the potential effects of voluntary AAPs on important organizational and societal outcome variables. We conclude that the impact of AAPs is likely to be far-reaching, exerting an effect possibly well beyond the limits considered in court decisions.     

ON THE NEED FOR QUALITY CONTROL IN VALIDATION RESEARCH

The aptitude tests used to help make personnel decisions about military recruits were validated against hands-on tests of job performance in two Marine Corps occupational specialties, radio repairers and automotive mechanics. The tests were administered by Marine Corps noncommissioned officers. Marine Corps units provided the test administrators, testing facilities, and examinees. Data collected under such conditions are filled with errors that reduce the accuracy of validity coefficients. This paper shows how validity coefficients can be made more accurate by exercising quality control during the statistical analysis.     

Test theory without an answer key

A general model is presented for homogeneous, dichotomous items when the answer key is not known a priori. The model is structurally related to the two-class latent structure model with the roles of respondents and items interchanged. For very small sets of respondents, iterative maximum likelihood estimates of the parameters can be obtained by existing methods. For other situations, new estimation methods are developed and assessed with Monte Carlo data. The answer key can be accurately reconstructed with relatively small sets of respondents. The model is useful when a researcher wants to study objectively the knowledge possessed by members of a culturally coherent group that the researcher is not a member of.This research was supported by NSF Grant No. SES-8320173 to the authors. We gratefully acknowledge comments and suggestions from John Boyd, Tarow Indow, and Kathy Maher as well as the editor and several anonymous referees.     

Sample size determinations for the two rater kappa statistic

This paper gives a method for determining a sample size that will achieve a prespecified bound on confidence interval width for the interrater agreement measure,. The same results can be used when a prespecified power is desired for testing hypotheses about the value of kappa. An example from the literature is used to illustrate the methods proposed here.     

A reformulation of the general Euclidean model for the external analysis of preference data

This paper discusses least squares methods for fitting a reformulation of the general Euclidean model for the external analysis of preference data. The reformulated subject weights refer to a common set of reference vectors for all subjects and hence are comparable across subjects. If the rotation of the stimulus space is fixed, the subject weight estimates in the model are uniquely determined. Weight estimates can be guaranteed nonnegative. While the reformulation is a metric model for single stimulus data, the paper briefly discusses extensions to nonmetric, pairwise, and logistic models. The reformulated model is less general than Carroll's earlier formulation.The author is grateful to Christopher J. Nachtsheim for his helpful suggestions.     

A representation theorem for languages with generalized quantifiers through back-and-forth methods

We obtain in this paper a representation of the formulae of extensions ofL by generalized quantifiers through functors between categories of first-order structures and partial isomorphisms. The main tool in the proofs is the back-and-forth technique. As a corollary we obtain the Caicedo's version of Fraïssés theorem characterizing elementary equivalence for such languages. We also discuss informally some geometrical interpretations of our results.