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A likelihood ratio test for goodness-of-fit of recessive and dominant models for case-control studies. (English. French summary) Zbl 1273.62045

Summary: Testing goodness-of-fit of commonly used genetic models is of critical importance in many applications including association studies and testing for departure from the Hardy-Weinberg equilibrium. Case-control designs have become widely used in population genetics and genetic epidemiology; thus it is of interest to develop powerful goodness-of-fit tests for genetic models using case-control data. This paper develops a likelihood ratio test (LRT) for testing recessive and dominant models for case-control studies. The LRT statistic has a closed-form formula with a simple \(\chi^2(1)\) null asymptotic distribution, thus its implementation is easy even for genome-wide association studies. Moreover, it has the same power and optimality as when the disease prevalence is known in the population.

MSC:

62F03 Parametric hypothesis testing
92D10 Genetics and epigenetics
65C60 Computational problems in statistics (MSC2010)
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