mrt_binary_power

Returns power of the hypothesis test of marginal excursion effect (see Details) given 
a specified sample size in the context of an MRT with binary outcomes
with small sample correction using F-distribution. See the vignette for
more details.

Provides a sample size calculator for micro-randomized trials (MRTs) with binary outcomes based on Cohn et al. (2023) <doi:10.1002/sim.9748>. Also provides a power calculator when the sample size is input by the user.

Tianchen Qian

MRTSampleSizeBinary

Sample Size Calculator for MRT with Binary Outcomes

mrt_binary_power function

<dl><dt>avail_pattern</dt>
<dd>A vector of length m that is the average availability at
each time point</dd>
<dt>f_t</dt>
<dd>Defines marginal excursion effect MEE(t) under
alternative together with beta. Assumed to be matrix of size m*p.</dd>
<dt>g_t</dt>
<dd>Defines success probability null curve together with
alpha. Assumed to be matrix of size m*q.</dd>
<dt>beta</dt>
<dd>Length p vector that defines marginal excursion effect
MEE(t) under alternative together with f_t.</dd>
<dt>alpha</dt>
<dd>Length q vector that defines success probability null
curve together with g_t.</dd>
<dt>p_t</dt>
<dd>Length m vector of Randomization probabilities at each
time point.</dd>
<dt>gamma</dt>
<dd>Desired Type I error</dd>
<dt>n</dt>
<dd>Sample size</dd></dl>

Arguments

Calculate power for binary outcome MRT — mrt_binary_power

<dl>

<dt>avail_pattern</dt>
<dd>A vector of length m that is the average availability at
each time point</dd>


<dt>f_t</dt>
<dd>Defines marginal excursion effect MEE(t) under
alternative together with beta. Assumed to be matrix of size m*p.</dd>


<dt>g_t</dt>
<dd>Defines success probability null curve together with
alpha. Assumed to be matrix of size m*q.</dd>


<dt>beta</dt>
<dd>Length p vector that defines marginal excursion effect
MEE(t) under alternative together with f_t.</dd>


<dt>alpha</dt>
<dd>Length q vector that defines success probability null
curve together with g_t.</dd>


<dt>p_t</dt>
<dd>Length m vector of Randomization probabilities at each
time point.</dd>


<dt>gamma</dt>
<dd>Desired Type I error</dd>


<dt>n</dt>
<dd>Sample size</dd>

</dl>

mrt_binary_power: Calculate power for binary outcome MRT

Description

Usage

Value

Arguments

Examples