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Cramer, Elliot M. – Multivariate Behavioral Research, 1974
Descriptors: Correlation, Matrices, Multiple Regression Analysis, Multivariate Analysis
Peer reviewed Peer reviewed
Schultz, James V.; Hubert, Lawrence – Journal of Educational Statistics, 1976
Illustrates a simple nonparametric alternative that can be used to test a hypothesis that two proximity matrices on the same set of variables or objects reflect a similar pattern of high and low entries. (RC)
Descriptors: Correlation, Data Analysis, Hypothesis Testing, Matrices
Peer reviewed Peer reviewed
Timm, 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 reviewed Peer reviewed
Korth, Bruce; Tucker, Ledyard R. – Psychometrika, 1975
Provides normative data about the distribution of one measure of similarity of factor loadings, the congruence coefficient, through a Monte Carlo Technique. Matching of "chance" factor patterns was done by the method of Tucker. Statistical tests of the results, based on similarities of the method to canonical and multiple correlation,…
Descriptors: Correlation, Factor Analysis, Factor Structure, Matrices
Peer reviewed Peer reviewed
Hubert, Lawrence J.; Baker, Frank B. – Multivariate Behavioral Research, 1978
The strategy for investigating convergent and discriminant test validity, known as the multitrait-multimethod matrix, is investigated. A nonparametric significance testing procedure is suggested and demonstrated. (JKS)
Descriptors: Correlation, Hypothesis Testing, Mathematical Models, Matrices
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 reviewed Peer reviewed
Miller, John K. – Multivariate Behavioral Research, 1975
Descriptors: Correlation, Goodness of Fit, Hypothesis Testing, Matrices
Peer reviewed Peer reviewed
Huberty, 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 reviewed Peer reviewed
Fouladi, 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
Noe, Michael J. – 1976
This study compared three approaches to the two-factor experiment with repeated measures on one factor: (1) the conventional mixed model analysis of variance, (2) the Greenhouse-Geisser conservative analysis of variance, and (3) multivariate extensions of analysis of variance. Computer simulated data were used in a total of 96 sets of covariance…
Descriptors: Analysis of Variance, Comparative Analysis, Computer Programs, Correlation
Beasley, T. Mark; Leitner, Dennis W. – 1994
The use of stepwise regression has been criticized for both interpretive misunderstandings and statistical aberrations. A major statistical problem with stepwise regression and other procedures that involve multiple significance tests is the inflation of the Type I error rate. General approaches to control the family-wise error rate such as the…
Descriptors: Algorithms, Computer Simulation, Correlation, Error of Measurement
Vasu, Ellen S.; Elmore, Patricia B. – 1975
The effects of the violation of the assumption of normality coupled with the condition of multicollinearity upon the outcome of testing the hypothesis Beta equals zero in the two-predictor regression equation is investigated. A monte carlo approach was utilized in which three differenct distributions were sampled for two sample sizes over…
Descriptors: Correlation, Error of Measurement, Factor Structure, Hypothesis Testing
Hall, Charles E.; And Others – 1973
The VARAN (variance Analysis) program is an addition to a series of computer programs for multivariate analysis of variance. The development of VARAN exploits the full linear model. Analysis of variance, univariate and multivariate, is the program's main target. Correlation analysis of all types is available with printout in the vernacular of…
Descriptors: Analysis of Variance, Computer Programs, Correlation, Data Processing
Ascher, Gordon – 1975
The increased use of criterion-referenced statewide testing programs is an outgrowth of the need for more diagnostic information for planning and decision making than is provided by norm-referenced programs. There remains, however, a need for state agencies to compare the results of local districts to a variety of comparison groups for the purpose…
Descriptors: Academic Achievement, Comparative Testing, Correlation, Criterion Referenced Tests