Methods for the calculation of eta coefficient, or correlation ratio, squared have recently been presented for examining the strength of relationship in univariate analysis of variance. This paper extends them to the multivariate case in which the effects of independent variables may be examined in relation to two or more dependent variables, and…

While the potential use of correlation methods has spread to wide contexts and these uses have permeated behavioral research, their scope remains the orthodox applications: to test independence, and to measure association. It is well worth noticing that problems having no obstensible connection to dependence, independence, or association have been…

Reasons for transforming dependent variable measures for use in analysis of variance is discussed, including nonnormality, heteroscedasticity and scale-induced interactions. It is pointed out that nonlinear transformations change the interpretation of interactions, and a method for reducing heteroscedasticity is described. (Author/RM)

The use of planned, or "a priori," and unplanned, or "post hoc," comparisons to isolate differences among means in analysis of variance research is discussed. Planned comparisons typically involve weighting data by sets of "contrasts." Planned comparison offer more power against Type II errors. In addition, they force…

Generalizations of the Scheffe, Tukey, and Bonferroni-t techniques are presented, each of which controls the experimentwise error rate for a particular type of partially or fully planned analysis. All three procedures provide more power than multivariate analysis of variance (MANOVA) tests. (Author/BJG)

See EJ 041 277 for original article. (DG)

Sections of this paper are: basic framework for the review; fundamentals of choosing contrasts in multivariate analysis of variance; principles and procedures for orthogonal and in nonorthogonal MANOVA; general problems and principles in the analysis of multivariate dependent variables. References. (Author/VW)

Twelve multiple comparison tests, both simultaneous and sequential, are described, analyzed, and evaluated. Overall recommendations are presented in a flow-diagram. (DG)

Significant cost savings can be achieved with the use of matrix sampling in estimating population parameters from psychometric data. The statistical design is intuitively simple, using the framework of the two-way classification analysis of variance technique. For example, the mean and variance are derived from the performance of a certain grade…

This paper examines the difference between dependent and independent responses and suggest that, for the case of independence, a nested analysis of variance model is appropriate. The advantages of this analytic approach are explained, and conditions are discussed under which more powerful test of treatment effects may be obtained. (Author/MA)