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A short list of math/stats results useful in our work

 

A short list of math/stats results useful in our work


Jan 25, 2007 A derivation for Armitage's trend test for the 2x3 genotype table
Measures of Linkage Disequilibrium
March 15, 2007   In this section we show the derivation of D' and the relationship between D' and R.
Part I: A Development of the LD Measure D'

Part II: A Development of the LD Measure R

Part III: The Relationship Between D' and R
June 5, 2007 Some R code to do a quick sample size estimate for genetic association using case-control studies. Please note that this code contains a parameter that can be adjusted to allow sample size correction under the assumption that the p-values will be adjusted with the Bonferronni correction. A drawback is that the code assumes that the researcher knows the mode of inheritance of the trait.
June 6, 2007 Some R code to do a quick power curve for genetic association using case-control studies. Given the accepted probability of Type I error, disease prevalence, mode of inheritance, and sample size, this returns a curve of power vs. relative risk given 2 disease alleles. Please note that this code contains a parameter that can be adjusted to allow power estimate under the assumption that the p-values will be adjusted with the Bonferronni correction. A drawback is that the code assumes that the researcher knows the mode of inheritance of the trait. Result of running the code will be a graphic like the one shown below.