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Chunk #31 — Results — A single effective sample size does not capture all variance inflations in genotype frequency estimations, but it provides a good approximation

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Effective sample size: Quick estimation of the effect of related samples in genetic case-control association analyses.
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With the correlation coefficient for genotype indicator variable in Eq.(8,9), we can derive the sample size reduction α and variance inflation 1/α for genotype frequencies obtained from relative pairs, sibships, and cluster of relatives: αG = 1/(1 + rG), 1/(1 + (k − 1)rG), and 1/(1+(k − 1)r̄G) respectively, where rG (G=(AA,AB, BB) is the genotype-specific correlation coefficient. Compared to the variance inflation for allele frequency estimation, the number of ESSs for genotype frequencies is 3 instead of 1, as rAA, rAB, rBB are not equal to each other. Furthermore, these correlation coefficients depend on p, q.