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Type I Error Rate and Power of Rank Transform ANOVA When Populations Are Non-Normal and Have Unequal Variances.

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Olejnik, Stephen F.; Algina, James – 1985

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…

Descriptors: Analysis of Variance, Computer Simulation, Error of Measurement, Hypothesis Testing

Tests of Variance Equality When Distributions Differ in Form, Scale and Location.

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Olejnik, Stephen F.; Algina, James – 1986

Sampling distributions for ten tests for comparing population variances in a two group design were generated for several combinations of equal and unequal sample sizes, population means, and group variances when distributional forms differed. The ten procedures included: (1) O'Brien's (OB); (2) O'Brien's with adjusted degrees of freedom; (3)…

Descriptors: Error of Measurement, Evaluation Methods, Measurement Techniques, Nonparametric Statistics