A Parametric Bootstrap Approach for One-Way ANOVA Under Unequal Variances with Unbalanced Data |
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Authors: | Guoyi Zhang |
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Institution: | Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131-0001, U.S.A |
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Abstract: | This research is to provide a solution of one-way ANOVA without using transformation when variances are heteroscedastic and group sizes are unequal. Parametric bootstrap test (Krishnamoorthy et al., 2007 Krishnamoorthy, K., Lu, F., Mathew, T. (2007). A parametric bootstrap approach for anova with unequal variances: Fixed and random models. Computational Statistics and Data Analysis 51:5731–5742.Crossref], Web of Science ®] , Google Scholar]) has been shown to be competitive with many other methods when testing the equality of group means. We extend the parametric bootstrap algorithm to a multiple comparison procedure. Simulation results show that the parametric bootstrap approach works well for one-way ANOVA. |
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Keywords: | ANOVA Multiple comparison Parametric bootstrap Simulations Unequal variance |
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