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首页> 外文期刊>Statistica neerlandica >Weighted rank statistics in factorial designs with fixed effects
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Weighted rank statistics in factorial designs with fixed effects

机译：具有固定影响的析因设计中的加权秩统计

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摘要

Nonparametric methods for the analysis of factorial designs with two fixed factors are considered. The sample sizes may be unequal and the distribution functions are not assumed to be continuous. Nonparametric hypotheses for the main effects and for the interaction are tested by ranking procedures where the statistics are weighted according to the different sample sizes within the levels of one factor. Simulations show that the approximations by the limiting normal distribution and by the t- and F-distributions are quite accurate if the samples sizes within the cells are at least 7 for all treatment combinations. Moreover, it turns out that the power for the weighted statistics is much higher than for the unweighted statistics. The application of the suggested procedures is demonstrated by the analysis of a data set from a clinical trial with ordered categorical data.
机译：考虑具有两个固定因子的析因设计分析的非参数方法。样本大小可能不相等，并且分布函数不假定是连续的。通过排序程序检验主要影响和相互作用的非参数假设，其中根据一个因素水平内的不同样本量对统计数据进行加权。模拟表明，如果所有处理组合的细胞内样本大小至少为7，则通过有限正态分布以及t和F分布的近似值将非常准确。而且，事实证明，加权统计的功效比未加权统计的功效高得多。建议的程序的应用通过对来自临床试验的数据集进行排序的分类数据来证明。

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