Integrative Hypothesis Test and A5 Formulation: Sample Pairing Delta, Case Control Study, and Boundary Based Statistics

摘要

This paper continues the previous preliminary study on integrative hypothesis test (IHT) (Xu, LNCS7751, 2013). First, the coverage of IHT studies are elaborated from four aspects. Then, the previous preliminary A5 formulation for IHT is developed into one that integrates multiple individual tasks of discriminative analysis to improve hypothesis test with enhanced reliability. Next, a sample-pairing-delta based nonparametric statistics is proposed and its application to case control study is addressed. Moreover, a parametric separating boundary is further embedded into hypothesis test with statistics based on how far samples are away from the boundary, under which sample classification and hypothesis testing are coordinately implemented.