beta_parms_from_quantiles

<code>beta_parms_from_quantiles</code> produces prior Beta parameters for
the true positive rates (TPR)

Provides functions to specify, fit and visualize
nested partially-latent class models (
Wu, Deloria-Knoll, Hammitt, and Zeger (2016) <doi:10.1111/rssc.12101>;
Wu, Deloria-Knoll, and Zeger (2017) <doi:10.1093/biostatistics/kxw037>;
Wu and Chen (2021) <doi:10.1002/sim.8804>) for
inference of population disease etiology and individual diagnosis. In the motivating
Pneumonia Etiology Research for Child Health (PERCH) study, because both quantities
of interest sum to one hundred percent, the PERCH scientists frequently refer to
them as population etiology pie and individual etiology pie, hence the name of the package.

Zhenke Wu

baker

"Nested Partially Latent Class Models"

Scott Zeger

John Muschelli

Irena Chen

beta_parms_from_quantiles function

<dl><dt>q</dt>
<dd>A vector of lower and upper bounds, in which Beta distribution
will have quantiles specified by <code>p</code>. For example, <code>q=c(0.5,0.99)</code></dd>
<dt>p</dt>
<dd>The lower and upper quantiles of the range one wants to specify.</dd>
<dt>precision</dt>
<dd>Approximation precisions.</dd>
<dt>derivative.epsilon</dt>
<dd>Precision of calculating derivative.</dd>
<dt>start.with.normal.approx</dt>
<dd>Default is <code>TRUE</code>, for normal approximation.</dd>
<dt>start</dt>
<dd>Starting values of beta parameters.</dd>
<dt>plot</dt>
<dd>Default is <code>FALSE</code> to suppress plotting of the beta density,
otherwise, set to <code>TRUE</code>.</dd></dl>

Arguments

Pick parameters in the Beta distribution to match the specified range — beta_parms_from_quantiles

<dl>

<dt>q</dt>
<dd>A vector of lower and upper bounds, in which Beta distribution
will have quantiles specified by <code>p</code>. For example, <code>q=c(0.5,0.99)</code></dd>


<dt>p</dt>
<dd>The lower and upper quantiles of the range one wants to specify.</dd>


<dt>precision</dt>
<dd>Approximation precisions.</dd>


<dt>derivative.epsilon</dt>
<dd>Precision of calculating derivative.</dd>


<dt>start.with.normal.approx</dt>
<dd>Default is <code>TRUE</code>, for normal approximation.</dd>


<dt>start</dt>
<dd>Starting values of beta parameters.</dd>


<dt>plot</dt>
<dd>Default is <code>FALSE</code> to suppress plotting of the beta density,
otherwise, set to <code>TRUE</code>.</dd>

</dl>

beta_parms_from_quantiles: Pick parameters in the Beta distribution to match the specified range

Description

Usage

Value

Arguments

Examples