This function computes standard error under the null <code>se_null</code> analytically compute standard error of \(\beta\) under \(\mathbb{E}(\beta) = 0\) \(\sqrt{\frac{1}{2fN_0} + \frac{1}{2N_{0}(1-f)} + \frac{1}{2fN_1} + \frac{1}{2N_{1}(1-f)} }\)

This function computes standard error under the null se_null analytically compute standard error of \(\beta\) under \(\mathbb{E}(\beta) = 0\) \(\sqrt{\frac{1}{2fN_0} + \frac{1}{2N_{0}(1-f)} + \frac{1}{2fN_1} + \frac{1}{2N_{1}(1-f)} }\)

se_null(N, n1, f)

Arguments

N	a vector or scalar of total number od samples
n1	a vector or scalar of number of case samples
f	a vector of reference allele frequencies

Value

a numeric vector

This function computes standard error under the null `se_null` analytically compute standard error of \(\beta\) under \(\mathbb{E}(\beta) = 0\) \(\sqrt{\frac{1}{2fN_0} + \frac{1}{2N_{0}(1-f)} + \frac{1}{2fN_1} + \frac{1}{2N_{1}(1-f)} }\)

Arguments

Value

Contents

This function computes standard error under the null se_null analytically compute standard error of \(\beta\) under \(\mathbb{E}(\beta) = 0\) \(\sqrt{\frac{1}{2fN_0} + \frac{1}{2N_{0}(1-f)} + \frac{1}{2fN_1} + \frac{1}{2N_{1}(1-f)} }\)

Arguments

Value

Contents

This function computes standard error under the null `se_null` analytically compute standard error of \(\beta\) under \(\mathbb{E}(\beta) = 0\) \(\sqrt{\frac{1}{2fN_0} + \frac{1}{2N_{0}(1-f)} + \frac{1}{2fN_1} + \frac{1}{2N_{1}(1-f)} }\)