The effect of interaction and rounding error in two-way ANOVA: example of impact on testing for normality

被引：5
作者：
Ryden, Jesper [1 ]
Alm, Sven Erick [1 ]
机构：
[1] Uppsala Univ, Dept Math, S-75238 Uppsala, Sweden
来源：
JOURNAL OF APPLIED STATISTICS | 2010年 / 37卷 / 10期
关键词：
analysis of variance; rounding error; Shapiro-Wilk test; factorial experiment; interaction; VALUES;
D O I：
10.1080/02664760903143925
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
A key issue in various applications of analysis of variance (ANOVA) is testing for the interaction and the interpretation of resulting ANOVA tables. In this note it is demonstrated that for a two-way ANOVA, whether interactions are incorporated or not may have a dramatic influence when considering the usual statistical tests for normality of residuals. The effect of numerical rounding is also discussed.
引用
收藏
页码：1695 / 1701
页数：7
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