safeZ10Inverse

This helper function is used in <code>designSafeZ()</code> to find parameter. The function is the (two-sided)
inverse of 'safeZTestStat'.

Functions to design and apply tests that are anytime valid. The
functions can be used to design hypothesis tests in the prospective/randomised
control trial setting or in the observational/retrospective setting. The
resulting tests remain valid under both optional stopping and optional
continuation. The current version includes safe t-tests and safe tests of
two proportions. For details on the theory of safe tests, see
Grunwald, de Heide and Koolen (2019) "Safe Testing" <arXiv:1906.07801>,
for details on safe logrank tests see ter Schure, Perez-Ortiz, Ly and Grunwald
(2020) "The Safe Logrank Test: Error Control under Continuous Monitoring with
Unlimited Horizon" <arXiv:2011.06931v3> and Turner, Ly and Grunwald (2021)
"Safe Tests and Always-Valid Confidence Intervals for contingency tables and
beyond" <arXiv:2106.02693> for details on safe contingency table tests.

Alexander Ly

safestats

Safe Anytime-Valid Inference

Rosanne Turner

Muriel Felipe Perez-Ortiz

Judith ter Schure

Peter Grunwald

safeZ10Inverse function

<dl><dt>parameter</dt>
<dd>optional test defining parameter. Default set to <code>NULL</code>.</dd>
<dt>nEff</dt>
<dd>numeric &gt; 0, the effective sample size.</dd>
<dt>sigma</dt>
<dd>numeric, the assumed known standard deviation, default 1.</dd>
<dt>alpha</dt>
<dd>numeric in (0, 1) that specifies the tolerable type I error control --independent on n-- that the
designed test has to adhere to. Note that it also defines the rejection rule e10 &gt; 1/alpha.</dd></dl>

Arguments

Computes the Inverse of the Two-Sided Safe Z-Test — safeZ10Inverse

<dl>

<dt>parameter</dt>
<dd>optional test defining parameter. Default set to <code>NULL</code>.</dd>


<dt>nEff</dt>
<dd>numeric &gt; 0, the effective sample size.</dd>


<dt>sigma</dt>
<dd>numeric, the assumed known standard deviation, default 1.</dd>


<dt>alpha</dt>
<dd>numeric in (0, 1) that specifies the tolerable type I error control --independent on n-- that the
designed test has to adhere to. Note that it also defines the rejection rule e10 &gt; 1/alpha.</dd>

</dl>

safeZ10Inverse: Computes the Inverse of the Two-Sided Safe Z-Test

Description

Usage

Value

Arguments

Examples