Some Univariate-Multivariate Generalizations
Bibliographic Data
| ID | 20281973 |
|---|---|
| Authors | Carl J Huberty (University of Georgia, corresponding author) |
| Year | 1983 |
| Volume | 43 |
| Issue | 3 |
| Pages | 705-721 |
| Publication date | 1983-09-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Educational and Psychological Measurement (JOURNAL) |
| Journal identifiers | ISSN: 0013-1644 • E-ISSN: 1552-3888 |
| Publisher | SAGE Publications (PUBLISHER • US) |
| DOI | 10.1177/001316448304300304 |
| OpenAlex | W2094217035 |
| Language | EN |
| References cited | 23 |
The mathematical extension from scalars to matrices as a prerequisite for univariate to multivariate generalizations of statistical concepts and methods is discussed. 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 means of generalizing variance are shown to yield a number of 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
Context (archaeology) · Econometrics · Multivariate analysis · Multivariate analysis of variance · Multivariate statistics · Statistics · TRACE (psycholinguistics) · Univariate · Variance (accounting) · Advanced Statistical Methods and Models · Diverse Academic Research Areas · Mathematics · Statistical Methods and Applications
Multiple regression in behavioral research
Discriminant Analysis
Estimating Strength of Relationship in Multivariate Analysis of Variance
Partial Omega Squared for Anova Designs
A Multivariate Extension of the Correlation Ratio
Estimation in Multiple Correlation/Prediction
Eta-Squared and Partial Eta-Squared in Fixed Factor Anova Designs
Sampling Characteristics of Kelley's ε and Hays' ω
The Eta Coefficient in Manova
Set Correlation As A General Multivariate Data-Analytic Method
Multivariate Indices of Strength of Association
The Invalidity Of Partitioned-U Tests In Canonical Correlation And Multivariate Analysis Of Variance
Global Measures of Association in Multivariate Analysis of Variance
A New Perspective On Sequential Testing Procedures In Canonical Analysis
A multivariate measure of association based on the Pillai-Bartlett procedure
On choosing a test statistic in multivariate analysis of variance
Canonical correlation analysis
| Citation velocity | historical |
|---|---|
| Highly cited | No |