A theorem of Spjotvoll (1972) was used to determine and apply a confidence interval for the difference of two multiple correlations based on observations from a single sample. Spjotvoll's method of comparing regression functions is also applicable to a comparison of dependent multiple correlations, an unsolved problem posed by Hotelling in 1940.…

The Kaiser Measures of Sampling Adequacy (MSA) were derived for a typical six-concept Semantic Differential. The overall indices indicated that both concept and total correlation matrices would lead to comparable decisions regarding the psychometric quality of the sample data sets. The individual MSA's, however, revealed considerable variability…

An alternative derivation of Tryon's basic formula for the coefficient of domain validity or the coefficient of generalizability developed by Cronbach, Rajaratnam, and Glaser is provided. This derivation, which is also the generalized Kuder-Richardson coefficient, requires a relatively minimal number of assumptions compared with that in previously…

The objective of the project was to generate historical estimates and projections of employment demand by industry and occupation (industry-occupation matrices) for the state of Pennsylvania and 12 metropolitan labor market areas in the state. The methodology is discussed in two sections. The first section is concerned with the methodology used in…

A technique for assessing the agreement between the Q-sorts of two or more groups of subjects is presented which relies on the relationship between the Kendall coefficient of concordance (W) and the Spearman rank order correlation (rho). The proposed statistical treatment of Q-sort data involves the use of a number of intercorrelations rather than…

Procrustean analysis is a form of factor analysis where a target matrix of results is specified and then approximated. Procrustean analysis is extended here to the case where matrices have different row order. (Author/JKS)

Component analysis provides an attractive alternative to factor analysis, since component scores are easily determined while factor scores can only be estimated. The correct method of determining component scores is presented as well as several illustrations of how commonly used incorrect methods distort the meaning of the component solution. (RC)

Necessary and sufficient conditions for rotating matrices to maximal agreement in the least-squares sense are discussed. A theorem which solves the case of two matrices is given a more straightforward proof. Other considerations in rotating matrices are discussed. (Author/JKS)

In this paper, the author gives a review of the literature on complex multivariate distributions. Some new results on these distributions are also given. Finally, the author discusses the applications of the complex multivariate distributions in the area of the inference on multiple time series. (Author)

Recent results of Bloomfield and Watson and Knott are used to derive a class of union-intersection tests for sphericity from likelihood ratio tests of independence of two sets of variates. It is shown that the ordinary likelihood ratio test for sphericity has a natural union-intersection interpretation. (Author/RC)

A completing-the-squares type approach to the varimax rotation problem is presented. This approach yields a direct proof of global optimality of a solution for optimal rotation in a plane. (Author/LMO)

The research reported in this article lends support to using matrix sampling procedures with paired comparisons in survey research. When a large number of items are to be assessed, matrix sampling proves to be a reliable and effective way to obtain survey data. (Author/CT)

Matrix differencing of data vectors is introduced as a method for computing test variance and is compared to traditional analysis of variance. Applications for computer assisted instruction, provided by supplemental computer software, are also described. (Author/GDC)