A Note on Cochran Test for Homogeneity in Two Ways ANOVA and Meta-Analysis

• 作者: Pamphile Mezui-Mbeng
• 来源期刊: 统计学期刊(英文)
• 学科: 医学
• 关键词: Cochran HOMOGENEITY TEST CHI-SQUARE Distribution Desimonian-Laird TEST INVARIANT Two WAYS ANOVA
• 年，卷（期）: tjxqkyw_2015,（7）
• 页码范围: 787-796
• 页数: 10页
• 分类号: R73

摘要

In this paper, we generalize the proof of the Cochran statistic in the case of an ANOVA two ways structure that asymptotically follows a Chi-2. While construction of homogeneity statistics test usually resorts to the determination of the covariance matrix and its inverse, the Moore-Penrose matrix, our approach, avoids this step. We also show that the Cochran statistic in ANOVA two ways is equivalent to conventional homogeneity statistics test. In particular, we show that it satisfies the invariance property. Finally, we conduct empirical verification from a meta-analysis that confirms our theoretical results.