poisson_likelihood

negative log-likelihood function of the three-arm study with poisson endpoints

internal

Design and analyze three-arm non-inferiority or superiority trials
which follow a gold-standard design, i.e. trials with an experimental treatment,
an active, and a placebo control. Method for the following distributions are implemented:
Poisson (Mielke and Munk (2009) <arXiv:0912.4169>), negative binomial (Muetze et al. (2016) <doi:10.1002/sim.6738>),
normal (Pigeot et al. (2003) <doi:10.1002/sim.1450>; Hasler et al. (2009) <doi:10.1002/sim.3052>),
binary (Friede and Kieser (2007) <doi:10.1002/sim.2543>), nonparametric (Muetze et al. (2017) <doi:10.1002/sim.7176>),
exponential (Mielke and Munk (2009) <arXiv:0912.4169>).

Tobias Muetze

ThreeArmedTrials

Design and Analysis of Clinical Non-Inferiority or Superiority
Trials with Active and Placebo Control

Tobias Mütze

Tim Friede

poisson_likelihood function

<dl><dt>n_exp</dt>
<dd>sample size in the experimental treatment group</dd>
<dt>n_ref</dt>
<dd>sample size in the reference treatment group</dd>
<dt>n_pla</dt>
<dd>sample size in the placebo treatment group</dd>
<dt>sum_exp</dt>
<dd>sum of results of the experimental treatment group</dd>
<dt>sum_ref</dt>
<dd>sum of results of the reference treatment group</dd>
<dt>sum_pla</dt>
<dd>sum of results of the placebo treatment group</dd>
<dt>rate_exp</dt>
<dd>rate in the experimental treatment group</dd>
<dt>rate_ref</dt>
<dd>rate in the reference treatment group</dd>
<dt>rate_pla</dt>
<dd>rate in the placebo treatment group</dd></dl>

Arguments

poisson_likelihood — poisson_likelihood

<dl>

<dt>n_exp</dt>
<dd>sample size in the experimental treatment group</dd>


<dt>n_ref</dt>
<dd>sample size in the reference treatment group</dd>


<dt>n_pla</dt>
<dd>sample size in the placebo treatment group</dd>


<dt>sum_exp</dt>
<dd>sum of results of the experimental treatment group</dd>


<dt>sum_ref</dt>
<dd>sum of results of the reference treatment group</dd>


<dt>sum_pla</dt>
<dd>sum of results of the placebo treatment group</dd>


<dt>rate_exp</dt>
<dd>rate in the experimental treatment group</dd>


<dt>rate_ref</dt>
<dd>rate in the reference treatment group</dd>


<dt>rate_pla</dt>
<dd>rate in the placebo treatment group</dd>

</dl>

poisson_likelihood: poisson_likelihood

Description

Usage

Value

Arguments