Different ways that dependent variables can cause multivariate significance are illustrated. It is argued that univariate tests should not be used as follow-up procedures to identify the variables that can contribute to multivariate significance. Methods that can be used to determine the contributions individual variables make to multivariate…

Either linear or quadratic rules may be used to derive classification equations in discriminant analysis for the purpose of predicting group membership. Generally, the decision about which rule to use is governed by the degree to which the separate group covariance matrices are unequal. An example is presented that supports the superior internal…

To assess the effect on discriminant analysis in terms of correct classification into two groups, the following parameters were systematically altered using Monte Carlo techniques: sample sizes; proportions of one group to the other; number of independent variables; and covariance matrices. The pairing of the off diagonals (or covariances) with…

Results include: (1) the most able, most autonomous group included those who withdrew; (2) the most authoritarian, those who became seniors; (3) the most nonconforming, those who "continued" without becoming seniors, and (4) the highest ability to think abstractly, scientifically and to solve problems, the academic dismissals who gained…

A method of applying the discriminant function to correlated samples was discussed for the researcher interested in utilizing multivariate statistics to pre-post data. By finding the linear combination that maximizes differences in the groups, the t-statistic can be computed for correlated samples. (Author)

One of a series of reports on the International Project for the Evaluation of Educational Achievement (in Mathematics).

A series of experiments was performed to investigate the effectiveness and utility of automatically classifying documents through the use of multiple discriminant functions. Classification is accomplished by computing the distance from the mean vector of each category to the vector of observed frequencies of a document and assigning the document…

Differences among school children are typically measured by achievement, aptitude and/or intelligence tests. This study investigates the use of critical thinking tests to differentiate between schools of varying racial, economic, and "disadvantagement" factors; the latter being determined by Title I ESEA qualifications and U. S. Office of…

As part of the overall equal employment program, the Federal Women's Program was established, and annually examines areas of possible discrimination against women in Federal service. This series of reports analyzes the following: (1) the job series most used by HEW's several agencies, showing proportions of women regularly employed against the…

In multivariate analysis of variance the canonical variates of one effect may be correlated with the canonical variates of another effect. When the two effects are an interaction and a main effect this correlation interferes with the interpretation of the main effect. When the two effects are both main effects the interpretation of the common…

The relationship between quantitative predictor variables and the probability of occurrence of one or more levels of a qualitative criterion variable can be analyzed by quantal response techniques. This paper presents and discusses two quantal response models, comparing them to multiple linear regression and discriminant analysis. (Author/JKS)

In rating teachers' classroom characteristics, high and low achievers in a PSI course in psychology differed significantly in their ratings of businesslike behavior, excitement, course difficulty, and teacher enthusiasm. Previous academic performance, however, was a more important predictor of academic achievement. (Author/STS)

A method for studying relationships among groups in terms of categorical data patterns is described. The procedure yields a dimensional representation of configural relationships among multiple groups and a quantitative scaling of categorical data patterns for use in subsequent assignment of new individuals to the groups. (Author/CTM)

Examines how discriminant analysis techniques can be used in music education research. Provides examples of the technique. Concludes that music researchers can use discriminant analysis to gain new insights into their data. (RKM)

Describes the method of discriminant analysis, including the concept of discriminant function, discriminant score, group centroid, and discriminant weights and loadings. Discusses methods for testing the statistical significance of a function, methods of using the function in classification, and the concept of rotating functions. Illustrates the…