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Vitaliano, Peter P.; Halperin, Silas – Educational and Psychological Measurement, 1975
Descriptors: Computer Programs, Hypothesis Testing, Matrices, Sampling
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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
McDonald, Roderick P. – Psychometrika, 1975
Descriptors: Analysis of Covariance, Factor Analysis, Hypothesis Testing, Matrices
Timm, Neil H. – 1974
Multivariate models are demonstrated to analyze repeated measures profile and growth curve data when univariate or multivariate mixed model assumptions are not tenable. Standard mixed model tests are recovered from certain multivariate hypotheses. The procedures are illustrated using numerical examples. (Author/RC)
Descriptors: Hypothesis Testing, Matrices, Models, Nonparametric Statistics
Peer reviewed Peer reviewed
Ross, 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
Peer reviewed Peer reviewed
McDonald, R. P. – Psychometrika, 1974
Maximum likelihood estimates of the free parameters, and an asymptotic likelihood-ratio test, are given for the hypothesis that one or more elements of a covariance matric are zero, and/or that two or more of its elements are equal. (Author/RC)
Descriptors: Analysis of Covariance, Computer Programs, Hypothesis Testing, 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
Peer reviewed Peer reviewed
Lissitz, Robert W.; Chardos, Steve – Educational and Psychological Measurement, 1975
Describes some of the situations in which a psychologist is likely to violate the assumption of independent errors. A Monte-Carlo study of the effects of this violation is then described. (Author/RC)
Descriptors: Analysis of Variance, Computer Programs, Hypothesis Testing, Matrices
Betz, M. Austin – 1976
Simultaneous test procedures (STPS for short) in the context of the unrestricted full rank general linear multivariate model for population cell means are introduced and utilized to analyze interactions in factorial designs. By appropriate choice of an implying hypothesis, it is shown how to test overall main effects, interactions, simple main,…
Descriptors: Analysis of Variance, Hypothesis Testing, Interaction, Mathematical Models
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
Algina, James; Olejnik, Stephen F. – Educational and Psychological Measurement, 1984
The Welch-James procedure may be used to test hypothesis on means, when independent samples from populations with heterogenous variances are available. Summation formulas for the Welch-James procedure are presented for the 2x2 design. Matrix formulas that permit routine application of the procedure to crossed factorial designs are presented.…
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Formulas, Matrices
Peer reviewed Peer reviewed
Miller, John K. – Multivariate Behavioral Research, 1975
Descriptors: Correlation, Goodness of Fit, Hypothesis Testing, Matrices
Pohlmann, John T.; McShane, Michael G. – 1974
The purpose of this paper is to demonstrate the use of the general linear model (GLM) in problems with repeated measures on a dependent variable. Such problems include pretest-posttest designs, multitrial designs, and groups by trials designs. For each of these designs, a GLM analysis is demonstrated wherein full models are formed and restrictions…
Descriptors: Hypothesis Testing, Matrices, Models, Predictor Variables
Peer reviewed Peer reviewed
Huynh, Huynh; Feldt, Leonard S. – Journal of Educational Statistics, 1976
When the variance assumptions of a repeated measures ANOVA are not met, the F distribution of the mean square ratio should be adjusted by the sample estimate of the Box correction factor. An alternative is proposed which is shown by Monte Carlo methods to be less biased for a moderately large factor. (RC)
Descriptors: Analysis of Variance, Computer Programs, Hypothesis Testing, Matrices
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