qnorm_mu

Internal function to calculate Pr(-t &lt; Z &lt; t) - kkk/d for Z~N(mu,1).
Take the root of this function to find the mu such that P(|Z|&gt;=t_k) = k/d.

internal

Offers the Generalized Berk-Jones (GBJ) test for set-based inference in genetic
association studies. The GBJ is designed as an alternative to tests such as Berk-Jones (BJ),
Higher Criticism (HC), Generalized Higher Criticism (GHC), Minimum p-value (minP), and Sequence
Kernel Association Test (SKAT). All of these other methods (except for SKAT) are also implemented
in this package, and we additionally provide an omnibus test (OMNI) which integrates information from each of the tests.
The GBJ has been shown to outperform other tests in genetic association studies when signals
are correlated and moderately sparse. Please see the vignette for a quickstart guide or Sun and Lin
(2017) <arXiv:1710.02469> for more details.

Ryan Sun

Generalized Berk-Jones Test for Set-Based Inference in Genetic
Association Studies

qnorm_mu function

<dl><dt>mu</dt>
<dd>The mean of the normal random variable.</dd>
<dt>t</dt>
<dd>The threshold (boundaries) we are interested in.</dd>
<dt>kkk</dt>
<dd>We decided to make you input the fraction in two parts.</dd>
<dt>d</dt>
<dd>We decided to make you input the fraction in two parts.</dd></dl>

Arguments

qnorm_mu.R — qnorm_mu

<dl>

<dt>mu</dt>
<dd>The mean of the normal random variable.</dd>


<dt>t</dt>
<dd>The threshold (boundaries) we are interested in.</dd>


<dt>kkk</dt>
<dd>We decided to make you input the fraction in two parts.</dd>


<dt>d</dt>
<dd>We decided to make you input the fraction in two parts.</dd>

</dl>

qnorm_mu: qnorm_mu.R

Description

Usage

Value

Arguments

Examples