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首页> 外文期刊>Statistica neerlandica >Type I error and test power of different tests for testing interaction effects in factorial experiments
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Type I error and test power of different tests for testing interaction effects in factorial experiments

机译：在阶乘实验中测试交互作用的不同测试的I类错误和测试能力

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摘要

A simulation study was conducted to investigate the effect of non-normality and unequal variances on Type I error rates and test power of the classical factorial anova F-test and different alternatives, namely rank transformation procedure (FR), winsorized mean (FW), modified mean (FM) and permutation test (FP) for testing interaction effects. Simulation results showed that as long as no significant deviation from normality and homogeneity of the variances exists, generally all of the tests displayed similar results. However, if there is significant deviation from the assumptions, the other tests are observed to be affected at considerably high levels except FR and FP tests. As a result, when the assumptions of factorial anova F-test are not met or, in the case those assumptions are not tested whether met, it can be concluded that using FR and FP tests is more suitable than the classical factorial anova F-test.
机译：进行了仿真研究，以研究非正态和不等方差对经典阶乘方差F检验和其他替代方法（即秩变换程序（FR），白化平均数（FW），修改均值（FM）和置换测试（FP）以测试交互效果。仿真结果表明，只要不存在与方差的正态性和均一性的显着偏差，通常所有测试都显示相似的结果。但是，如果与假设有显着偏差，则可以观察到其他测试在FR和FP测试以外的较高水平上受到影响。结果，当不满足阶乘方差F检验的假设时，或者在不检验是否满足阶乘方F检验的情况下，可以得出结论，使用FR和FP检验比经典的阶乘方差F检验更适合。

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