ERIC Number: ED219414
Record Type: RIE
Publication Date: 1982-Mar
Reference Count: 0
Some Univariate-Multivariate Generalizations.
Huberty, Carl J.
The mathematical extension from scalars to matrices as a prerequisite for univariate to multivariate generalizations of statistical concepts and methods is discussed. One reason for several alternative techniques is the multitude of ways to generalize from univariate concepts to multivariate concepts. The additional complexity, and lack of theoretical and empirical evidence to support a best method, are two other reasons. The basic notion of variability is generalized from a univariate context to a multivariate context using two matrix functions, a determinant and a trace. These two methods of generalizing variance are shown to yield several alternative multivariate indices of shared variation. Multivariate partial indices are proposed. The complexity of multivariate test statistics and some problems in the interpretation of tests of multivariate hypotheses are reviewed. (Author/DWH)
Publication Type: Speeches/Meeting Papers; Opinion Papers; Reports - Research
Education Level: N/A
Authoring Institution: N/A
Note: Paper presented at the Annual Meeting of the American Educational Research Association (66th, New York, NY, March 19-23, 1982).