Some Statistical Properties of Efficiency Robust Tests with Applications to Genetic Association Studies

type="main" xml:id="sjos12060-abs-0001"> <title type="main">ABSTRACT</title>Although efficiency robust tests are preferred for genetic association studies when the genetic model is unknown, their statistical properties have been studied for different study designs separately under special situations. We study some statistical properties of the maximin efficiency robust test and a maximum-type robust test (MAX3) under a general setting and obtain unified results. The results can also be applied to testing hypothesis with a constrained two-dimensional parameter space. The results are applied to genetic association studies using case–parents trio data.