Literaturnachweis - Detailanzeige
| Autor/in | Huberty, Carl J. |
|---|---|
| Titel | Some Univariate-Multivariate Generalizations. |
| Quelle | (1982), (28 Seiten) |
| Beigaben | Tabellen |
| Sprache | englisch |
| Dokumenttyp | gedruckt; Monographie |
| Schlagwörter | Tagungsbericht; Stellungnahme; Analysis of Variance; Data Analysis; Hypothesis Testing; Matrices; Multivariate Analysis; Statistical Analysis; Statistics |
| Abstract | 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) |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2004/1/01 |
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