Synchronized permutation tests in replicated I x J designs
Synchronized permutation tests in replicated I x J designs
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DOI：
10.1016/j.jspi.2006.04.016
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发表时间：
2007-08-01
影响因子：
0.9
通讯作者：
Salmaso, Luigi
中科院分区：
文献类型：
--
作者：
Basso, Dario;Chiarandini, Marco;Salmaso, Luigi
本文对Pesarin [2001]提出的主因子和交互作用的同步排列检验进行了推广。多元排列检验及其在生物统计学中的应用。Wiley，奇切斯特]和Salmaso [2003年。析因设计中的同步排列检验。通讯员理论方法32，1419-1437]在具有n个重复的2k完全析因设计的情况下。这种扩展认为更一般的情况下，主要因素可以假设，分别为I和J级。介绍了一种获得Monte Carlo同步排列的算法，并与参数方差分析进行了比较模拟研究。我们还实现了基于主因子效应的同步排列的非参数同时置信区间。同时置信区间的图形表示建议和说明与文献中的一些例子。(c)2007 Elsevier B. V.保留所有权利。
In this paper we present an extension of the synchronized permutation tests for main factors and interaction introduced by Pesarin [2001. Multivariate Permutation Tests with Applications to Biostatistics. Wiley, Chichester] and Salmaso [2003. Synchronized permutation tests in factorial designs. Comm. Statist. Theory Methods 32, 1419-1437] in the case of a 2k complete factorial design with n replicates. This extension considers the more general case when the main factors can assume, respectively, I and J lelvels. An algorithm to obtain Monte Carlo synchronized permutations is introduced and a comparative simulation study with the parametric ANOVA is reported. We also implemented the nonparametric simultaneous confidence intervals based on syncrhonized permutations for main factor effects. A graphical representation for the simultaneous confidence intervals is suggested and illustrated with some examples from the literature. (c) 2007 Elsevier B.V. All rights reserved.