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The Role of Permutation Groups in Randomization Tests.
Peer reviewed Peer reviewed
Edgington, Eugene S. – Journal of Educational Statistics, 1983
Randomization tests involve generating all possible assignments of subjects to treatments in order to create a distribution of possible test statistics. The use of a premutation group to enhance the understanding and utility of randomization tests is discussed. (Author/JKS)
Descriptors: Data Analysis, Nonparametric Statistics, Research Design, Statistical Distributions
Approximating the Probability of Selecting the Best Treatment with a Heteroscedastic Procedure When the First Stage Has Unequal Sample Sizes.
Peer reviewed Peer reviewed
Wilcox, Rand R. – Journal of Educational Statistics, 1983
The problem of determining which of several populations has the largest mean is considered. The procedure described by Dudewicz and Dalal is extended to the case of unequal sample sizes. (JKS)
Descriptors: Analysis of Variance, Nonparametric Statistics, Probability, Reliability
F-Test Alternatives to Fisher's Exact Test and to the Chi-Square Test of Homogeneity in 2x2 Tables.
Peer reviewed Peer reviewed
Overall, John E.; Starbuck, Robert R. – Journal of Educational Statistics, 1983
An alternative to Fisher's exact test and the chi-square test for homogeneity in two-by-two tables is developed. The method provides for Type I error rates which are closer to the stated alpha level than either of the alternatives. (JKS)
Descriptors: Expectancy Tables, Goodness of Fit, Hypothesis Testing, Nonparametric Statistics
Parametric ANCOVA and the Rank Transform ANCOVA When the Data Are Conditionally Non-Normal and Hetroscedastic.
Peer reviewed Peer reviewed
Olejnik, Stephen F.; Algina, James – Journal of Educational Statistics, 1984
Using computer simulation, parametric analysis of covariance (ANCOVA) was compared to ANCOVA with data transformed using ranks, in terms of proportion of Type I errors and statistical power. Results indicated that parametric ANCOVA was robust to violations of either normality or homoscedasticity, but practiced significant power differences favored…
Descriptors: Analysis of Covariance, Computer Simulation, Hypothesis Testing, Nonparametric Statistics