The statistical classification of "N" individuals into "G" mutually exclusive groups when the actual group membership is unknown is common in the social and behavioral sciences. The results of such classification methods often have important consequences. Among the most common methods of statistical classification are linear discriminant analysis,…

Discrimination has traditionally been parameterized for items but not other empirical factors. Consequently, if person factors affect discrimination they cause misfit. However, by explicitly formulating the relationship between discrimination and the unit of a metric, it is possible to parameterize discrimination for person groups. This article…

A nonparametric tree classification procedure is used to detect differential item functioning for items that are dichotomously scored. Classification trees are shown to be an alternative procedure to detect differential item functioning other than the use of traditional Mantel-Haenszel and logistic regression analysis. A nonparametric…

Classification procedures are common and useful in behavioral, educational, social, and managerial research. Supervised classification techniques such as discriminant function analysis assume training data are perfectly classified when estimating parameters or classifying. In contrast, unsupervised classification techniques such as finite mixture…

A general discriminant analysis method, based on the E-correlation coefficient concept is introduced, and separates the various subgroups by using Euclidean spaces. The G-analysis, the weighted G analysis and the WHIDD analysis are special cases of the method. (Author/RL)

A specialized vector used to interpret rejected multivariate single sample hypotheses, introduced in an earlier article by the writer (EJ 097 103), is shown here to be equivalent to the vector that would be obtained if discriminant analysis techniques were to be applied to a single sample problem. (Author)

The Weighted H Index Delegate Discriminant Analysis method (WHIDD-analysis) is presented. It is rather similar to Holley's G-analysis, but does not utilize any component analysis and is thus cheaper and simpler to use. The WHIDD-analysis uses the weighted H-index as the E-correlation coefficient. (Author/BW)

Pedhazur and Tetenbaum speculated that factor structures from self-ratings of the Bem Sex-Role Inventory (BSRI) personality traits would be different from factor structures from desirability ratings of the same traits. To explore this hypothesis, both desirability ratings of BSRI traits (both "for a man" and "for a woman") and…

G analysis is a type of discriminant analysis. A generalization of the G analysis to cases where variables are on an interval or ordinal scale is described. The placement system used in the description is distance-based, but other systems may also be applied. (Author/JKS)

A Fortran program is presented for discriminant analysis of discrete variables. The program assumes discrete, nominal data with no distributional, variance-covariance assumptions. The program handles a maximum of fifty predictor variables and twelve outcome groups. (Author/JKS)

The objective of this paper is to review the outputs of selected computer programs often used to carry out a "discriminant analysis" with respect to two purposes of such an analysis, discrimination and classification. The programs selected are three BMD programs. (Author/JKS)

A computer program for two-group nonparametric discriminant analysis is presented. Based on Bayes' Theorem for probability revision, the statistical rationale for this program uses the calculation of maximum likelihood estimates of group membership. The program compares the Bayesian procedure to the standard Linear Discriminant Function.…

This paper discusses considerations in the unwary use of packaged discriminant analysis procedures including: the differences between the "group classification function" and the textbook classification function in both form and use, classification table confusions and their alleviation, and the hazards of stepping procedures. (Author/BW)

Brennan's B statistic is a generalized upper-lower discrimination index which was first published in 1972: Peirce earlier introduced a statistic on the relation between a predictor and an outcome which has the same structure as Brennan's B. (Author/CP)

G analysis is a data analytic method based on the G index of agreement. A generalized technique for the rotation of factors in G analysis in which marker variables are brought into alignment with their adjoining reference axis is presented. (Author/JKS)