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Analysis of Variance3
Matrices2
Equated Scores1
Error of Measurement1
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Educational and Psychological…3
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Algina, James3
Olejnik, Stephen F.2
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Tests of Variance Equality When Distributions Differ in Form and Location.
Peer reviewed Peer reviewed
Olejnik, Stephen F.; Algina, James – Educational and Psychological Measurement, 1988
Type I error rates and power were estimated for 10 tests of variance equality under various combinations of the following factors: similar and dissimilar distributional forms, equal and unequal means, and equal and unequal sample sizes. (TJH)
Descriptors: Analysis of Variance, Equated Scores, Error of Measurement, Power (Statistics)
Implementing the Welch-James Procedure with Factorial Designs.
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
New Test Statistics for MANOVA/Descriptive Discriminant Analysis.
Peer reviewed Peer reviewed
Coombs, William T.; Algina, James – Educational and Psychological Measurement, 1996
Univariate procedures proposed by M. Brown and A. Forsythe (1974) and the multivariate procedures from D. Nel and C. van der Merwe (1986) were generalized to form five new multivariate alternatives to one-way multivariate analysis of variance (MANOVA) for use when dispersion matrices are heteroscedastic. These alternatives are evaluated for Type I…
Descriptors: Analysis of Variance, Matrices, Multivariate Analysis