WeibOSInteg

Helper Function for <code>WeibSurvOS()</code>

internal

Based on the illness-death model a large number of clinical
trials with oncology endpoints progression-free survival (PFS) and
overall survival (OS) can be simulated, see Meller, Beyersmann and
Rufibach (2019) <doi:10.1002/sim.8295>. The simulation set-up allows
for random and event-driven censoring, an arbitrary number of
treatment arms, staggered study entry and drop-out. Exponentially,
Weibull and piecewise exponentially distributed survival times can be
generated. The correlation between PFS and OS can be calculated.

Alexandra Erdmann

simIDM

Simulating Oncology Trials using an Illness-Death Model

Kaspar Rufibach

Holger Löwe

Daniel Sabanés Bové

F. Hoffmann-La Roche AG 

University of Ulm 

WeibOSInteg function

<dl><dt>x</dt>
<dd>(<code>numeric</code>) variable of integration.</dd>
<dt>t</dt>
<dd>(<code>numeric</code>) study time-points.</dd>
<dt>h01</dt>
<dd>(positive <code>number</code>) transition hazard for 0 to 1 transition.</dd>
<dt>h02</dt>
<dd>(positive <code>number</code>) transition hazard for 0 to 2 transition.</dd>
<dt>h12</dt>
<dd>(positive <code>number</code>) transition hazard for 1 to 2 transition.</dd>
<dt>p01</dt>
<dd>(positive <code>number</code>) rate parameter of Weibull distribution for <code>h01</code>.</dd>
<dt>p02</dt>
<dd>(positive <code>number</code>) rate parameter of Weibull distribution for <code>h02</code>.</dd>
<dt>p12</dt>
<dd>(positive <code>number</code>) rate parameter of Weibull distribution for <code>h12</code>.</dd></dl>

Arguments

Helper Function for WeibSurvOS() — WeibOSInteg

<dl>

<dt>x</dt>
<dd>(<code>numeric</code>) variable of integration.</dd>


<dt>t</dt>
<dd>(<code>numeric</code>) study time-points.</dd>


<dt>h01</dt>
<dd>(positive <code>number</code>) transition hazard for 0 to 1 transition.</dd>


<dt>h02</dt>
<dd>(positive <code>number</code>) transition hazard for 0 to 2 transition.</dd>


<dt>h12</dt>
<dd>(positive <code>number</code>) transition hazard for 1 to 2 transition.</dd>


<dt>p01</dt>
<dd>(positive <code>number</code>) rate parameter of Weibull distribution for <code>h01</code>.</dd>


<dt>p02</dt>
<dd>(positive <code>number</code>) rate parameter of Weibull distribution for <code>h02</code>.</dd>


<dt>p12</dt>
<dd>(positive <code>number</code>) rate parameter of Weibull distribution for <code>h12</code>.</dd>

</dl>

WeibOSInteg: Helper Function for `WeibSurvOS()`

Description

Usage

Value

Arguments