%0 Journal Article %T Control for Population Structure and Relatedness for Binary Traits in Genetic Association Studies via Logistic Mixed Models %A Adam£¿A. Szpiro %A Adrienne£¿M. Stilp %A Cathy£¿C. Laurie %A Chaolong Wang %A George£¿J. Papanicolaou %A Han Chen %A John£¿M. Brehm %A Juan£¿C. Celed¨®n %A Kenneth Rice %A Matthew£¿P. Conomos %A Susan Redline %A Tamar Sofer %A Timothy£¿A. Thornton %A Wei Chen %A Zilin Li %J Archive of "American Journal of Human Genetics". %D 2016 %R 10.1016/j.ajhg.2016.02.012 %X Linear mixed models (LMMs) are widely used in genome-wide association studies (GWASs) to account for population structure and relatedness, for both continuous and binary traits. Motivated by the failure of LMMs to control type I errors in a GWAS of asthma, a binary trait, we show that LMMs are generally inappropriate for analyzing binary traits when population stratification leads to violation of the LMM¡¯s constant-residual variance assumption. To overcome this problem, we develop a computationally efficient logistic mixed model approach for genome-wide analysis of binary traits, the generalized linear mixed model association test (GMMAT). This approach fits a logistic mixed model once per GWAS and performs score tests under the null hypothesis of no association between a binary trait and individual genetic variants. We show in simulation studies and real data analysis that GMMAT effectively controls for population structure and relatedness when analyzing binary traits in a wide variety of study designs %U https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4833218/