On invariance of chi-squared tests under different probability models

HIGHLIGHTS

• What: The authors establish the invariance of a chi-squared test under three different study designs namely cohort case-control and cross-sectional studies involving distinct probabilistic models. The examples and applications utilized in this study provide directions as to how differently formulated studies are implemented via a chi-squared test. Under this study design, an exposure to the factor is said to be independent of disease outcome if the rate of exposure in disease and non-disease are identical, i.e., 𝑃(𝐸=1|𝐷=1)=𝑃(𝐸=1|𝐷=2). The authors provide three examples, one from each of the underlying . . .
  

   

  

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