In the process of developing a conditionally-dependent item response theory (IRT) model, the problem arose of modeling an underlying multivariate normal (MVN) response process with general correlation among the items. Without the assumption of conditional independence, for which the underlying MVN cdf takes on comparatively simple forms and can be…

The use of terms to describe and interpret results from canonical correlation analysis has been inconsistent across research studies. This study assembled the terminology related to the use and interpretation of canonical correlation analysis from research articles, textbooks, and computer manuals. Research articles using canonical correlation…

A constrained component analysis method, which bears a formal resemblance to the confirmatory factor analysis methods developed by K. G. Joreskog (1969) and others, is presented. In confirmatory factor analysis, the constraints allow the testing of formally structural hypotheses within a model that is falsifiable, even in its "just…

Each of the four classic multivariate analysis of variance (MANOVA) tests of statistical significance may lead a researcher to different decisions as to whether a null hypothesis should be rejected: (1) Wilks' lambda; (2) Lawley-Hotelling trace criterion; (3) Roy's greatest characteristic root criterion; and (4) Pillai's trace criterion. These…

This report examines the construct validity of the Ball Aptitude Battery (BAB), a multiple ability test battery designed to measure aptitudes related to successful work behavior. Construct validation has focused attention on the role of psychological theory and on the need to formulate hypotheses that can be examined in the validation process.…

An irrelevant auditory probe procedure was employed to evoke brain event-related potentials (ERPs) in 56 right-handed Caucasian males while they learned concepts presented to them in study booklets. A mastery test was administered to assess concept acquisition. Subjects were divided into two groups according to whether or not their achievement…

The rationale behind analysis of variance (including analysis of covariance and multiple analyses of variance and covariance) methods is reviewed, and unplanned and planned methods of evaluating differences between means are briefly described. Two advantages of using planned or a priori tests over unplanned or post hoc tests are presented. In…

In the educational research literature alpha, the a priori level of significance, and p, the a posteriori probability of obtaining a test statistic of at least a certain value when the null hypothesis is true, are often confused. Explanations for this confusion are offered. Paradoxically, alpha retains a prominent place in textbook discussions of…

This paper provides researchers with a method of determining sample size for a given power level in the preparation of a single group exploratory repeated measure analysis. The rationale for determining sample size which takes into consideration the powers and assumptions of both the adjusted univariate and multivariate repeated measures tests is…

The application of a multivariate analytic technique for the analysis of data from longitudinal designs with multiple dependent variables is presented. The technigue is the multivariate generalization of univariate repeated measures ANOVA. An application of the technique to data collected using materials from the Asian Studies Curriculum Project…

In recent research the assessment of worry and emotionality as separate components of test anxiety has become a salient point. Because of theoretical advances in this field it seems to be necessary to include both aspects in the measures that are used to assess test anxiety. Some literature on this distinction is available, but no longitudinal…

Hirschi's social control theory of delinquency status that delinquency involvement is the function of the failure of an adolescent to form or maintain a bond to society comprised of attachment, commitment, involvement and belief. In the past decade Hirschi and other researchers have found substantial support for this original thesis using tabular…

A general framework for making mastery/nonmastery decisions based on multivariate test data is described in this study. Over all, mastery is granted (or denied) if the posterior expected loss associated with such action is smaller than the one incurred by the denial (or grant) of mastery. An explicit form for the cutting contour which separates…

A CONTINUATION STUDY OF USOE PROJECT NUMBER 1493 EXTENDED THE EXAMINATION OF PROBLEMS IN USING MULTIVARIATE SCALING TECHNIQUES FOR THE MEASUREMENT OF INTERESTS. AN EXPERIMENTAL INSTRUMENT, SIMILAR IN FORMAT TO THE SOCIAL RELATIONS SCALE CONSTRUCTED BY GARDNER AND THOMPSON (1956), WAS PREVIOUSLY DEVELOPED. SUBTESTS ON THIS INSTRUMENT (THE INTEREST…

Rotation of canonical components is contrasted with factor rotation and the concept of communalities in canonical analysis is considered. Three possible strategies for rotating canonical components are described: single rotation of all components, separate rotation of each set, and sequential rotation of one set then the other. Constraints,…