文章基本信息

标题：GFD: An R Package for the Analysis of General Factorial Designs
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作者：Sarah Friedrich ; Frank Konietschke ; Markus Pauly 等
期刊名称：Journal of Statistical Software
印刷版ISSN：1548-7660
电子版ISSN：1548-7660
出版年度：2017
卷号：79
期号：1
页码：1-18
DOI：10.18637/jss.v079.c01
语种：English
出版社：University of California, Los Angeles
摘要：Factorial designs are widely used tools for modeling statistical experiments in all kinds of disciplines, e.g., biology, psychology, econometrics and medicine. For testing null hypotheses in this framework, ANOVA methods are widely used. However, the corresponding F tests are only valid for normally distributed data with equal variances, two assumptions which are often not met in practice. The R package GFD provides an implementation of the Wald-type statistic (WTS), the ANOVA-type statistic (ATS) and a studentized permutation version of the WTS. Both the WTS and the permuted WTS do not require normally distributed data or variance homogeneity, whereas the ATS assumes normality. All methods are available for general crossed or nested designs and all main and interaction effects can be plotted. Additionally, the package is equipped with an optional graphical user interface to facilitate application for a wide range of users. We illustrate the implemented methods for a range of different designs.
关键词：factorial designs;non-normal data;heteroscedasticity;permutation;R;GUI