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Wallenstein, Sylvan; Fleiss, Joseph L. – Psychometrika, 1979
The multiplicative correction term for the degrees of freedom in a repeated measures analysis of variance table is given for the cases in which there is equal variability per time point, and the correlation between observations is k time units apart. This correction equals the correlation coefficient raised to the kth power. (JKS)
Descriptors: Analysis of Variance, Correlation, Hypothesis Testing, Matrices
Dziuban, Charles D.; And Others – 1976
The distributional characteristics of the Kaiser-Rice measure of sampling adequacy (MSA) were investigated with sample correlation matrices from multivariate normal populations where the level of correlation (LC) was systematically varied. Two additional variables were manipulated--sample size (SS) and number of variables (NV). Ten matrices were…
Descriptors: Analysis of Variance, Correlation, Factor Analysis, Matrices
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Joe, George W.; Woodward, J. Arthur – Psychometrika, 1976
This article is concerned with estimation of components of maximum generalizability in multifacet experimental designs involving multiple dependent measures. An example of a two-facet partially nested design is provided. (Author/RC)
Descriptors: Analysis of Variance, Correlation, Matrices, Reliability
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Conger, Anthony J. – Multivariate Behavioral Research, 1974
Two indices of profile reliability are shown to be equivalent in terms of the individual independent canonical composites; however, because of different weighting procedures, they yield different overall indices of profile reliability. A common formula is provided from which both indices can be derived. (Author)
Descriptors: Analysis of Variance, Correlation, Matrices, Measurement Techniques
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Guertin, Azza S.; And Others – Educational and Psychological Measurement, 1981
The effects of under and overrotation on common factor loading stability under three levels of common variance and three levels or error are examined. Four representative factor matrices were selected. Results suggested that matrices which account for large amounts of common variance tend to have stable factor loadings. (Author/RL)
Descriptors: Analysis of Variance, Correlation, Error of Measurement, Factor Structure
Rim, Eui-Do – 1975
A stepwise canonical procedure, including two selection indices for variable deletion and a rule for stopping the iterative procedure, was derived as a method of selecting core variables from predictors and criteria. The procedure was applied to simulated data varying in the degree of built in structures in population correlation matrices, number…
Descriptors: Analysis of Variance, Comparative Analysis, Correlation, Factor Analysis
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Bohannon, Tom; Smith, W. B. – Educational and Psychological Measurement, 1978
A method for estimating variance-covariance matrices with incomplete data for use in discriminant function analysis is presented. An example of its use in college algebra course placement is also presented. (JKS)
Descriptors: Analysis of Variance, Correlation, Data Analysis, Discriminant Analysis
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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
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
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Larsson, Bernt – 1974
This report gives some simple examples of stability for one factor and 2 x 2 factorial analysis of variance, reliability and correlations. The findings are very different: from superstability (no transformation whatsoever can change the result) to almost total instability. This is followed by a discussion of applications to multivariate analysis,…
Descriptors: Analysis of Variance, Correlation, Discriminant Analysis, Factor Analysis
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