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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.

KEYWORDS

Cochran Homogeneity Test, Chi-Square Distribution, Desimonian-Laird Test, Invariant, Two Ways ANOVA

Cite this paper

Mezui-Mbeng, P. 2015 A Note on Cochran Test for Homogeneity in Two Ways ANOVA and Meta-Analysis. Open Journal of Statistics, 5, 787-796. doi: 10.4236-ojs.2015.57078.





Author: Pamphile Mezui-Mbeng

Source: http://www.scirp.org/



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