Decomposing Pearson's χ² test: A linear regression and its departure from linearity.

ABSTRACT: In case-control genetic association studies, a standard practice is to perform the Cochran-Armitage (CA) trend test under the assumption of the additive model because of its robustness. We could even identify situations in which it outperformed the analysis model consistent with the underlying inheritance mode. In this article, we analytically reveal the statistical basis that leads to the phenomenon. By elucidating the origin of the CA trend test as a linear regression model, we decompose Pearson's χ² -test statistic into two components-one is the CA trend test statistic that measures the goodness of fit of the linear regression model, and the other measures the discrepancy between data and the linear regression model. Under this framework, we show that the additive coding sche

SUBMITTER: Zhou Z 

PROVIDER: S-EPMC6105398 | biostudies-literature | 2018 Sep

REPOSITORIES: biostudies-literature