Abstract
Chapter 11 covers sample size and power calculations for testing genetic association, gene-environment interaction, and gene-gene interaction. Asymptotic power for testing a single marker association using the trend test is derived. The power calculations are discussed under perfect linkage disequilibrium or under imperfect linkage disequilibrium. The asymptotic power for Pearson’s test is also given. Asymptotic power is presented using either genotype relative risks or odds ratios. How to use an existing Power Program to calculate sample size and power for single marker association is illustrated. A general approach is described for testing interactions. Then testing gene-environment and gene-gene interactions are treated as special cases. The same Power Program is used to calculate the asymptotic power/sample size for testing gene-gene and gene-environment interactions. Examples are used to illustrate the use of the Power Program.
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Ahn, K., Haynes, C., Kim, W., St. Fleur, R., Gordon, D., Finch, S.J.: The effects of SNP genotyping errors on power of the Cochran-Armitage linear trend test for case/control association studies. Ann. Hum. Genet. 71, 249–261 (2007)
Clarke, G.M., Morris, A.P.: A comparison of sample size and power in case-only association studies of gene-environment interaction. Am. J. Epidemiol. 171, 498–505 (2010)
Edwards, B.J., Haynes, C., Levenstien, M.A., Finch, S.J., Gordon, D.: Power and sample size calculations in the presence of phenotype errors for case/control genetic association studies. BMC Genet. 8, 1–18 (2005)
Foppa, I., Spiegeiman, D.: Power and sample size calculations for case-control studies of gene-environment interactions with a polytomous exposure variable. Am. J. Epidemiol. 146, 596–604 (1997)
Freidlin, B., Zheng, G., Li, Z., Gastwirth, J.L.: Trend tests for case-control studies of genetic markers: power, sample size and robustness. Hum. Hered. 53, 146–152 (2002) (Erratum 68, 220 (2009))
Garcia-Closas, M., Lubin, J.H.: Power and sample size calculations in case-control studies of gene-environment interactions: Comments on different approaches. Am. J. Epidemiol. 149, 689–692 (1999)
Gauderman, W.J.: Sample size requirements for matched case-control studies of gene-environment interaction. Stat. Med. 21, 35–50 (2002)
Hanson, R.L., Looker, H.C., Ma, L., Muller, Y.L., Baier, L.J., Knowler, W.C.: Design and analysis of genetic association studies to finely map a locus identified by linkage analysis: Sample size and power calculations. Ann. Hum. Genet. 70, 332–349 (2006)
Hwang, S.-J., Beaty, T.H., Liang, K.-Y., Coresh, J., Khoury, M.J.: Minimum sample size estimation to detect gene-environment interaction in case-control designs. Am. J. Epidemiol. 140, 1029–1037 (1994)
Li, Q., Zheng, G., Liang, X., Yu, K.: Robust tests for single-marker analysis in case-control genetic association studies. Ann. Hum. Genet. 73, 245–252 (2009)
Lubin, J.H., Gail, M.H.: On power and sample size for studying features of the relative odds of disease. Am. J. Epidemiol. 131, 552–566 (1990)
Pfeiffer, R.M., Gail, M.H.: Sample size calculations for population- and family-based case-control association studies on marker genotypes. Genet. Epidemiol. 25, 136–148 (2003)
Schaid, D.J.: Power and sample size for testing association of haplotypes with complex traits. Ann. Hum. Genet. 70, 116–130 (2005)
Yang, Q., Khoury, M.J., Flanders, W.D.: Sample size requirements in case-only designs to detect gene-environment interaction. Am. J. Epidemiol. 146, 713–720 (1997)
Zheng, G., Gastwirth, J.L.: On estimation of the variance in Cochran-Armitage trend tests for genetic association using case-control studies. Stat. Med. 25, 3150–3159 (2006)
Zheng, G., Tian, X.: Robust trend tests for genetic association using matched case-control design. Stat. Med. 25, 3160–3171 (2006)
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Zheng, G., Yang, Y., Zhu, X., Elston, R.C. (2012). Power and Sample Size Calculations. In: Analysis of Genetic Association Studies. Statistics for Biology and Health. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-2245-7_11
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DOI: https://doi.org/10.1007/978-1-4614-2245-7_11
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