findSingleSimonDesign

This function finds the operating characteristics of a single realisation of a Simon design. It returns
the inputted values along with the type-I error-rate (alpha), power, expected sample size under p=p0 (EssH0)
and expected sample size under p=p1 (Ess).

Finds single- and two-arm designs using stochastic curtailment, as described by Law et al. (2022) <doi:10.1080/10543406.2021.2009498> and Law et al. (2021) <doi:10.1002/pst.2067> respectively. Designs can be single-stage or multi-stage. Non-stochastic curtailment is possible as a special case. Desired error-rates, maximum sample size and lower and upper anticipated response rates are inputted and suitable designs are returned with operating characteristics. Stopping boundaries and visualisations are also available. The package can find designs using other approaches, for example designs by Simon (1989) <doi:10.1016/0197-2456(89)90015-9> and Mander and Thompson (2010) <doi:10.1016/j.cct.2010.07.008>. Other features: compare and visualise designs using a weighted sum of expected sample sizes under the null and alternative hypotheses and maximum sample size; visualise any binary outcome design.

Martin Law

curtailment

Finds Binary Outcome Designs Using Stochastic Curtailment

findSingleSimonDesign function

<dl><dt>n1</dt>
<dd>Number of participants in stage 1</dd>
<dt>n2</dt>
<dd>Number of participants in stage 2</dd>
<dt>r1</dt>
<dd>Interim stopping boundary that must be exceeded to avoid no go stopping</dd>
<dt>r</dt>
<dd>Final rejection boundary that must be exceeded to reject the null hypothesis.</dd>
<dt>p0</dt>
<dd>Anticipated response probability for inefficacious treatment</dd>
<dt>p1</dt>
<dd>Anticipated response probability for efficacious treatment</dd></dl>

Arguments

Martin Law, <a href="/link/martin.law%40mrc-bsu.cam.ac.uk?package=curtailment&version=0.2.6" data-mini-rdoc="curtailment::martin.law@mrc-bsu.cam.ac.uk">martin.law@mrc-bsu.cam.ac.uk</a>

Author

Find a single Simon design — findSingleSimonDesign

<dl>

<dt>n1</dt>
<dd>Number of participants in stage 1</dd>


<dt>n2</dt>
<dd>Number of participants in stage 2</dd>


<dt>r1</dt>
<dd>Interim stopping boundary that must be exceeded to avoid no go stopping</dd>


<dt>r</dt>
<dd>Final rejection boundary that must be exceeded to reject the null hypothesis.</dd>


<dt>p0</dt>
<dd>Anticipated response probability for inefficacious treatment</dd>


<dt>p1</dt>
<dd>Anticipated response probability for efficacious treatment</dd>

</dl>

Martin Law, <a href='mailto:martin.law@mrc-bsu.cam.ac.uk'>martin.law@mrc-bsu.cam.ac.uk</a>

findSingleSimonDesign: Find a single Simon design

Description

Usage

Value

Arguments

Author

References

Examples