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ERIC Number: ED257857
Record Type: Non-Journal
Publication Date: 1985-Mar
Pages: 25
Abstractor: N/A
Reference Count: N/A
Type I Error Rate and Power of Rank Transform ANOVA When Populations Are Non-Normal and Have Unequal Variances.
Olejnik, Stephen F.; Algina, James
This paper examined the rank transformation approach to analysis of variance as a solution to the Behrens-Fisher problem. Using simulation methodology four parameters were manipulated for the two group design: (1) ratio of population variances; (2) distribution form; (3) sample size and (4) population mean difference. The results indicated that while the rank transform approach was less sensitive to variance inequality than the parametric ANOVA F-ratio, unacceptably high Type I error rates were obtained when cell frequencies and group variances were inversely related. With equal cell frequencies, and/or when cell frequencies were directly related to group variances, appropriate Type I error rates were obtained. Under these conditions, however, the Brown-Forsythe procedure for comparing group means provided greater power except when the sampled distribution was leptokurtic. (Author)
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: N/A
Audience: Researchers
Language: English
Sponsor: N/A
Authoring Institution: N/A