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Peer reviewedCramer, Elliot M. – Multivariate Behavioral Research, 1974
Descriptors: Correlation, Matrices, Multiple Regression Analysis, Multivariate Analysis
Peer reviewedTimm, Neil H.; Carlson, James E. – Psychometrika, 1976
Extending the definitions of part and bipartial correlation to sets of variates, the notion of part and bipartial canonical correlation analysis are developed and illustrated. (Author)
Descriptors: Correlation, Hypothesis Testing, Matrices, Multivariate Analysis
Peer reviewedRoss, Donald C. – Educational and Psychological Measurement, 1983
Theta is a statistic which measures the degree to which a designated pattern successfully partitions a matrix of pre- and post-treatment ratings into regions typical of each of two treatments. In this paper, theta is extended to multivariate and multigroup cases. (Author/BW)
Descriptors: Hypothesis Testing, Matrices, Multivariate Analysis, Research Methodology
Download full textTatsuoka, Maurice M. – 1973
A computer-simulated study was made of the sampling distribution of omega squared, a measure of strength of relationship in multivariate analysis of variance which had earlier been proposed by the author. It was found that this measure was highly positively biased when the number of variables is large and the sample size is small. A correction…
Descriptors: Analysis of Variance, Computer Programs, Matrices, Multivariate Analysis
Timm, Neil H.; Carlson, James E. – 1975
Part and bi-partial canonical correlations were developed by extending the definitions of part and bi-partial correlation to sets of variates. These coefficients may be used to help researchers explore relationships which exist among several sets of normally distributed variates. (Author)
Descriptors: Computer Programs, Correlation, Data Analysis, Hypothesis Testing
Peer reviewedHuberty, Carl J. – Educational and Psychological Measurement, 1983
The basic notion of variability is generalized from a univariate context to a multivariate context using two matrix functions, a determinant, and a trace, yielding a number of alternative multivariate indices of shared variation. Some problems in the interpretation of tests of multivariate hypotheses are reviewed. (Author/BW)
Descriptors: Analysis of Variance, Correlation, Data Analysis, Hypothesis Testing
Peer reviewedFouladi, Rachel T.; Steiger, James H. – Educational and Psychological Measurement, 1993
The test proposed by Brien, Venables, and Mayo (1984), endorsed by Silver and Dunlap, and supported by computer software that they developed is not a proper test for multivariate independence. A revised appraisal is suggested for the Silver and Dunlap results. (SLD)
Descriptors: Computer Software, Computer Software Development, Correlation, Matrices
Williams, John D. – 1976
The use of characteristic coding (dummy coding) is made in showing solutions to four multivariate problems using canonical analysis. The canonical variates can be themselves analyzed by the use of multiple linear regression. When the canonical variates are used as criteria in a multiple linear regression, the R2 values are equal to 0, where 0 is…
Descriptors: Analysis of Variance, Hypothesis Testing, Matrices, Multiple Regression Analysis
