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ERIC Number: ED357072
Record Type: Non-Journal
Publication Date: 1993-Apr
Pages: 38
Abstractor: N/A
Reference Count: N/A
Contrast Analyses for the Additive Nonorthogonal Two-Factor Design in the Unequal Variance Case.
Hsiung, Tung-Hsing; Olejnik, Stephen
This study considers the problem of performing all pairwise comparisons of column means for a two-by-four additive nonorthogonal factorial analysis of variance (ANOVA) model where cell variances are heterogeneous. Extensions of the following procedures are considered: (1) Games-Howell (1976) procedure; (2) the C. W. Dunnett (1980) T3 and C procedures; (3) the B. S. Holland and M. D. Copenhaver (1987) technique; (4) the A. J. Hayter (1986) procedure; and (5) the James (1951) second-order test. Using computer simulated data, Type I error rates and statistical power for these multiple comparison procedures are estimated. Sixty-six combinations of sample size and variance patterns are examined. The results suggest that these procedures maintain the familywise Type I error rate under the nominal 0.05 level. In terms of statistical power, the Games-Howell procedure generally provides the greater any-pair power, but the extension of the Hayter technique provides greater average power per contrast as well as in identifying all significant pairwise differences. Fourteen tables present details from the analyses. (Author/SLD)
Publication Type: Reports - Evaluative; Speeches/Meeting Papers
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A