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The robustness of the likelihood ratio test,the nonparametric sum rank test,and f-ratio tests when the populations are from the negative binomial family
Authors:Lawrence I-Kuei Lin  Roy L. Sanford
Affiliation:Travenol Laboratories, Inc , 6301 W. Lincoln Ave, Morton Grove, Illinois, 60053
Abstract:In this study, the robustness of power and significance level of several statistical testing methods was evaluated under the assumption that the test populations were from Poisson, negative binomial, or geometric distributions. The F-ratio test, with or without appropriate transformations, was shown to be both safe and robust for all distributions examined.
Keywords:Ames/Salmonella mutagenesis tests  Monte Carlo simulation  Poisson distribution  geometric distribu-tion  Kruskal-Wallis sum rank test  significance level and power
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