Statistical tests of genetic association for case-control study designs.

The central theme in case-control genetic association studies is to efficiently identify genetic markers associated with trait status. Powerful statistical methods are critical to accomplishing this goal. A popular method is the omnibus Pearson's chi-square test applied to genotype counts. To achieve increased power, tests based on an assumed trait model have been proposed. However, they are not robust to model misspecification. Much research has been carried out on enhancing robustness of such model-based tests. An analysis framework that tests the equality of allele frequency while allowing for different deviation from Hardy-Weinberg equilibrium (HWE) between cases and controls is proposed. The proposed method does not require specification of trait models nor HWE. It involves only 1 degree of freedom. The likelihood ratio statistic, score statistic, and Wald statistic associated with this framework are introduced. Their performance is evaluated by extensive computer simulation in comparison with existing methods.

[1]  B S Weir,et al.  Estimating F-statistics. , 2002, Annual review of genetics.

[2]  D J Schaid,et al.  Biased tests of association: comparisons of allele frequencies when departing from Hardy-Weinberg proportions. , 1999, American journal of epidemiology.

[3]  M. Knapp Re: "Biased tests of association: comparisons of allele frequencies when departing from Hardy-Weinberg proportions". , 2001, American journal of epidemiology.

[4]  Trevor Hastie,et al.  Regularization Paths for Generalized Linear Models via Coordinate Descent. , 2010, Journal of statistical software.

[5]  G. Zheng Use of max and min scores for trend tests for association when the genetic model is unknown , 2003, Statistics in medicine.

[6]  Joseph L. Gastwirth,et al.  Trend Tests for Case-Control Studies of Genetic Markers: Power, Sample Size and Robustness , 2002, Human Heredity.

[7]  D. Schaid,et al.  Case-Control Studies of Genetic Markers: Power and Sample Size Approximations for Armitage’s Test for Trend , 2001, Human Heredity.

[8]  Estimation of P‐value of MAX test with double triangle diagram for 2 × 3 SNP case‐control tables , 2010, Genetic epidemiology.

[9]  Kai Wang,et al.  A constrained-likelihood approach to marker-trait association studies. , 2005, American journal of human genetics.

[10]  W. Fung,et al.  Simple algorithms to calculate asymptotic null distributions of robust tests in case-control genetic association studies in R , 2010 .

[11]  Daniel J Schaid,et al.  Nonparametric tests of association of multiple genes with human disease. , 2005, American journal of human genetics.

[12]  P. Sasieni From genotypes to genes: doubling the sample size. , 1997, Biometrics.