Based on Lord's criterion of equity of equating, van der Linden (this issue) revisits the so-called local equating method and offers alternative as well as new thoughts on several topics including the types of transformations, symmetry, reliability, and population invariance appropriate for equating. A remarkable aspect is to define equating…

In spite of all of the technical progress in observed-score equating, several of the more conceptual aspects of the process still are not well understood. As a result, the equating literature struggles with rather complex criteria of equating, lack of a test-theoretic foundation, confusing terminology, and ad hoc analyses. A return to Lord's…

Since heterogeneity between reliability coefficients is usually found in reliability generalization studies, moderator analyses constitute a crucial step for that meta-analytic approach. In this study, different procedures for conducting mixed-effects meta-regression analyses were compared. Specifically, four transformation methods for the…

It is argued that ordinal statistical methods are often more appropriate than their more common counterparts because conclusions will be unaffected by monotonic transformation of the variables; they are more statistically robust when used appropriately; and they often correspond more closely to the researcher's goals. (SLD)

The main purpose of this paper consists in deriving means for making statistical inferences about the distribution of u under the conditions of sigma' is equal to sigma" and sigma' is not equal to sigma". An application of the results to coefficient alpha is appended as an illustration. (CK)

The goal of this Digest is to explore some of the issues involved in data transformation, with particular focus in the use of data transformation for the normalization of variables. The Digest is intended to serve as an aid to researchers who do not have extensive mathematical backgrounds or who had not had extensive exposure to this issue. It…

Describes a program for the T-score technique of normal standardization. T-scores transform a raw score distribution, regardless of its skewness or kurtosis, into a normal distribution with a mean of 50 and a standard deviation of 10. (Author/RC)

The logic of set theory is applied to the problem of infrastructure and transition in developmental analysis. The analysis necessitates the decomposition of stages into components. The decomposition generates sets within sets and, from a sequential perspective, progressions within progressions. The relation of lower to higher and precursor to…

Relations between standard statistical techniques for analyzing dichotomous data and ANOVA procedures are indicated. The need for usefulness of analyzing transformed data as opposed to direct analysis of dichotomous data are discussed. Required statistical procedures employing transformed data are outlined. (Author/AG)

This method of generating multivariate data differs from previous techniques in that it uses Crout factorization to develop the desired variance-covariance matrix. (Author/CK)

This report describes a test of the robustness of factor-analytic methods in the face of various types of scale transformations on the data. Because of the complexities that would be involved in an exact analytical investigation, the tests were done with simulated sets of data having different factor structures. After factor analyzing the original…