Copyright © 2007 The American Society of Human Genetics. All rights reserved.
The American Journal of Human Genetics, Volume 81, Issue 6, 1158-1168, 1 December 2007
doi:10.1086/522036
Article
Karen N. Conneely*, a,
,
and Michael Boehnkea
a Department of Biostatistics and Center for Statistical Genetics, University of Michigan, Ann Arbor
Address for correspondence and reprints: Karen Conneely, Department of Human Genetics, Emory University School of Medicine, 615 Michael Street, Suite 301, Atlanta, GA 30322Abstract
Contemporary genetic association studies may test hundreds of thousands of genetic variants for association, often with multiple binary and continuous traits or under more than one model of inheritance. Many of these association tests may be correlated with one another because of linkage disequilibrium between nearby markers and correlation between traits and models. Permutation tests and simulation-based methods are often employed to adjust groups of correlated tests for multiple testing, since conventional methods such as Bonferroni correction are overly conservative when tests are correlated. We present here a method of computing P values adjusted for correlated tests (PACT) that attains the accuracy of permutation or simulation-based tests in much less computation time, and we show that our method applies to many common association tests that are based on multiple traits, markers, and genetic models. Simulation demonstrates that PACT attains the power of permutation testing and provides a valid adjustment for hundreds of correlated association tests. In data analyzed as part of the Finland–United States Investigation of NIDDM Genetics (FUSION) study, we observe a near one-to-one relationship (r2>.999) between PACT and the corresponding permutation-based P values, achieving the same precision as permutation testing but thousands of times faster.
| A Perspective on Epistasis: Limits of Models Displaying No Main Effect The American Journal of Human Genetics, Volume 70, Issue 2, 1 February 2002, Pages 461-471 Robert Culverhouse, Brian K. Suarez, Jennifer Lin and Theodore Reich Abstract The completion of a draft sequence of the human genome and the promise of rapid single-nucleotide-polymorphism–genotyping technologies have resulted in a call for the abandonment of linkage studies in favor of genome scans for association. However, there exists a large class of genetic models for which this approach will fail: purely epistatic models with no additive or dominance variation at any of the susceptibility loci. As a result, traditional association methods (such as case/control, measured genotype, and transmission/disequilibrium test [TDT]) will have no power if the loci are examined individually. In this article, we examine this class of models, delimiting the range of genetic determination and recurrence risks for two-, three-, and four-locus purely epistatic models. Our study reveals that these models, although giving rise to no additive or dominance variation, do give rise to increased allele sharing between affected sibs. Thus, a genome scan for linkage could detect genomic subregions harboring susceptibility loci. We also discuss some simple multilocus extensions of single-locus analysis methods, including a conditional form of the TDT. Abstract | | |
| Robust Genomic Control for Association Studies The American Journal of Human Genetics, Volume 78, Issue 2, 1 February 2006, Pages 350-356 Gang Zheng, Boris Freidlin and Joseph L. Gastwirth Abstract Population-based case-control studies are a useful method to test for a genetic association between a trait and a marker. However, the analysis of the resulting data can be affected by population stratification or cryptic relatedness, which may inflate the variance of the usual statistics, resulting in a higher-than-nominal rate of false-positive results. One approach to preserving the nominal type I error is to apply genomic control, which adjusts the variance of the Cochran-Armitage trend test by calculating the statistic on data from null loci. This enables one to estimate any additional variance in the null distribution of statistics. When the underlying genetic model (e.g., recessive, additive, or dominant) is known, genomic control can be applied to the corresponding optimal trend tests. In practice, however, the mode of inheritance is unknown. The genotype-based χ2 test for a general association between the trait and the marker does not depend on the underlying genetic model. Since this general association test has 2 degrees of freedom (df), the existing formulas for estimating the variance factor by use of genomic control are not directly applicable. By expressing the general association test in terms of two Cochran-Armitage trend tests, one can apply genomic control to each of the two trend tests separately, thereby adjusting the χ2 statistic. The properties of this robust genomic control test with 2 df are examined by simulation. This genomic control–adjusted 2-df test has control of type I error and achieves reasonable power, relative to the optimal tests for each model. Abstract | | |