bisection

Monte Carlo simulation framework for different randomized clinical
trial designs with a special emphasis on estimators based on covariate
adjustment. The package implements regression-based covariate adjustment
(Rosenblum & van der Laan (2010) <doi:10.2202/1557-4679.1138>) and a
one-step estimator (Van Lancker et al (2024)
<doi:10.48550/arXiv.2404.11150>) for trials with continuous, binary and
count outcomes. The estimation of the minimum sample-size required to reach
a specified statistical power for a given estimator uses bisection to find
an initial rough estimate, followed by stochastic approximation
(Robbins-Monro (1951) <doi:10.1214/aoms/1177729586>) to improve the
estimate, and finally, a grid search to refine the estimate in the
neighborhood of the current best solution.

Benedikt Sommer

carts

Simulation-Based Assessment of Covariate Adjustment in
Randomized Trials

Klaus K. Holst

Foroogh Shamsi

Novo Nordisk A/S 

bisection function

<dl><dt>f</dt>
<dd>function to find root of (monotonic)</dd>
<dt>interval</dt>
<dd>a vector containing the end-points of the interval to be
searched for the root</dd>
<dt>niter</dt>
<dd>number of iterations</dd>
<dt>tol</dt>
<dd>stopping criterion (absolute difference in function evaluated at
end points of current interval)</dd>
<dt>verbose</dt>
<dd>if TRUE additional messages are printed throughout the
optimization</dd>
<dt>...</dt>
<dd>additional arguments passed to <code>f</code></dd></dl>

Arguments

Root finding by bisection — bisection

<dl>

<dt>f</dt>
<dd>function to find root of (monotonic)</dd>


<dt>interval</dt>
<dd>a vector containing the end-points of the interval to be
searched for the root</dd>


<dt>niter</dt>
<dd>number of iterations</dd>


<dt>tol</dt>
<dd>stopping criterion (absolute difference in function evaluated at
end points of current interval)</dd>


<dt>verbose</dt>
<dd>if TRUE additional messages are printed throughout the
optimization</dd>


<dt>...</dt>
<dd>additional arguments passed to <code>f</code></dd>

</dl>

bisection: Root finding by bisection

Description

Usage

Value

Arguments