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Thompson, Bruce – 1982
Conventional canonical methods distinguish between the two variable sets being analyzed, but the methods do not attempt to optimize the variance from a given variable set that will be contained in the final solution. In this respect canonical methods are said the be "symmetric." This paper proposes two non-symmetric, canonical-like…
Descriptors: Correlation, Evaluation Criteria, Multivariate Analysis, Predictor Variables
Thompson, Bruce – 1982
Virtually all parametric statistical procedures have been shown to be special cases of canonical correlation analysis, which is a useful research methodology particularly when augmented by the calculation of canonical structure, index, and invariance coefficients. A logic for conducting stepwise canonical correlation analysis based upon evaluation…
Descriptors: Correlation, Multiple Regression Analysis, Multivariate Analysis, Predictor Variables
Thompson, Bruce; Miller, James H. – 1985
Methods of regression commonality analysis are generalized for use in canonical correlation analysis. An actual data set (involving educators' attitudes toward death and age, locus of control, religion, and occupational role in working with terminally ill children) is employed to illustrate the extension. The method can be applied with respect to…
Descriptors: Correlation, Elementary Secondary Education, Multivariate Analysis, Predictor Variables
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Thompson, Bruce; Borrello, Gloria M. – Educational and Psychological Measurement, 1985
Multiple regression analysis is frequently being employed in experimental and non-experimental research. However, when data include predictor variables that are correlated, some regression results can become difficult to interpret. This paper presents a study to provide a demonstration that structure coefficients may be useful in these cases.…
Descriptors: Correlation, Multiple Regression Analysis, Multivariate Analysis, Predictor Variables
Peer reviewed Peer reviewed
Thompson, Bruce – Perceptual and Motor Skills, 1982
Virtually all parametric statistical procedures have been shown to be special cases of canonical correlation analysis. This article proposes a logic for conducting stepwise canonical correlation analyses, based upon evaluation of canonical communality coefficients. The procedure is a direct analogue of stepwise multiple regression. (Author/RD)
Descriptors: Correlation, Multiple Regression Analysis, Multivariate Analysis, Predictor Variables
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Thompson, Bruce – 1989
The relationship between analysis of variance (ANOVA) methods and their analogs (analysis of covariance and multiple analyses of variance and covariance--collectively referred to as OVA methods) and the more general analytic case is explored. A small heuristic data set is used, with a hypothetical sample of 20 subjects, randomly assigned to five…
Descriptors: Analysis of Covariance, Analysis of Variance, Heuristics, Hypothesis Testing