gammatheta_off

Calculates the Information matrix term of I_eta gamma for outcomes l and m

Contains tests for association between a set of genetic variants and multiple correlated outcomes that are interval censored. Interval-censored data arises when the exact time of the onset of an outcome of interest is unknown but known to fall between two time points.

Jaihee Choi

SIMICO

Set-Based Inference for Multiple Interval-Censored Outcomes

Ryan Sun

gammatheta_off function

<dl> <dt>l</dt>
<dd>Index of first outcome of interest.</dd> <dt>m</dt>
<dd>Index of second outcome of interest.</dd> <dt>HL_array</dt>
<dd>n x k matrix containing all the hazard values for the left times.</dd> <dt>HR_array</dt>
<dd>n x k matrix containing all the hazard values for the right times.</dd> <dt>xAll</dt>
<dd>List of design matrices and censoring terms.</dd> <dt>apply_diffs</dt>
<dd>Matrix containing the differences between survival functions of the left and right time intervals.</dd> <dt>temp_beta</dt>
<dd>vector of fitted coefficients.</dd> <dt>A_i</dt>
<dd>Product of apply_diffs across all outcomes K summed over all quadrature nodes d.</dd> <dt>no_l_all</dt>
<dd>n x (k - 1) matrix containing the product of apply_diffs across all outcomes k excluding the current outcome l.</dd> <dt>no_two_all</dt>
<dd>n x (k - 2) matrix containing the product of apply_diffs across all outcomes k excluding the outcomes l and m.</dd> <dt>gMat</dt>
<dd>n x q matrix of genetic information.</dd> <dt>a1</dt>
<dd>First shape parameter of beta parameter.</dd> <dt>a2</dt>
<dd>Second shape parameter of beta parameter.</dd> <dt>k</dt>
<dd>Total number of outcomes.</dd> <dt>d</dt>
<dd>Number of quadrature nodes.</dd></dl>

Arguments

d^2/d_gamma_ldtheta_m — gammatheta_off

<dl>

 <dt>l</dt>
<dd>Index of first outcome of interest.</dd>

 <dt>m</dt>
<dd>Index of second outcome of interest.</dd>

 <dt>HL_array</dt>
<dd>n x k matrix containing all the hazard values for the left times.</dd>

 <dt>HR_array</dt>
<dd>n x k matrix containing all the hazard values for the right times.</dd>

 <dt>xAll</dt>
<dd>List of design matrices and censoring terms.</dd>

 <dt>apply_diffs</dt>
<dd>Matrix containing the differences between survival functions of the left and right time intervals.</dd>

 <dt>temp_beta</dt>
<dd>vector of fitted coefficients.</dd>

 <dt>A_i</dt>
<dd>Product of apply_diffs across all outcomes K summed over all quadrature nodes d.</dd>

 <dt>no_l_all</dt>
<dd>n x (k - 1) matrix containing the product of apply_diffs across all outcomes k excluding the current outcome l.</dd>

 <dt>no_two_all</dt>
<dd>n x (k - 2) matrix containing the product of apply_diffs across all outcomes k excluding the outcomes l and m.</dd>

 <dt>gMat</dt>
<dd>n x q matrix of genetic information.</dd>

 <dt>a1</dt>
<dd>First shape parameter of beta parameter.</dd>

 <dt>a2</dt>
<dd>Second shape parameter of beta parameter.</dd>

 <dt>k</dt>
<dd>Total number of outcomes.</dd>

 <dt>d</dt>
<dd>Number of quadrature nodes.</dd>

</dl>

gammatheta_off: d^2/d_gamma_ldtheta_m

Description

Usage

Value

Arguments