compute_results_asymptotic

<code>compute_results_asymptotic</code> is a helper function to compute the test
decision for the HL1-, HL2-, and MED-test when <code>method = "asymptotic"</code>.

internal

Implementations of several robust nonparametric two-sample tests
for location or scale differences. The test statistics are based on robust
location and scale estimators, e.g. the sample median or the Hodges-Lehmann estimators
as described in Fried & Dehling (2011) <doi:10.1007/s10260-011-0164-1>.
The p-values can be computed via the permutation principle, the randomization principle, or by using
the asymptotic distributions of the test statistics under the null hypothesis, which ensures
(approximate) distribution independence of the test decision. To test for a difference in
scale, we apply the tests for location difference to transformed observations; see Fried (2012) <doi:10.1016/j.csda.2011.02.012>.
Random noise on a small range can be added to the original observations in order to
hold the significance level on data from discrete distributions.
The location tests assume homoscedasticity and the scale tests require the
location parameters to be zero.

Sermad Abbas

robnptests

Robust Nonparametric Two-Sample Tests for Location/Scale

Barbara Brune

Roland Fried

compute_results_asymptotic function

<dl><dt>x</dt>
<dd>a (non-empty) numeric vector of data values.</dd>
<dt>y</dt>
<dd>a (non-empty) numeric vector of data values.</dd>
<dt>alternative</dt>
<dd>a character string specifying the alternative hypothesis,
must be one of "two.sided", "greater", or "less".</dd>
<dt>delta</dt>
<dd>a numeric value indicating the true difference in the location
or scale parameter, depending on whether the test should be
performed for a difference in location or in scale.</dd>
<dt>type</dt>
<dd>a character string specifying the desired test statistic. It must
be one of <code>"HL11"</code>, <code>"HL12", "HL21", "HL22", "MED1"</code>,
and <code>"MED2"</code>, where <code>"HL1"</code>, <code>"HL2"</code> and
<code>"MED"</code> specify the location estimator and the numbers
<code>1</code> and <code>2</code> the scale estimator, see the vignette
(<code>vignette("robnptests")</code>) for more information.</dd></dl>

Arguments

Test decision for asymptotic versions of HL1-, HL2-, and MED-tests — compute_results_asymptotic

<dl>

<dt>x</dt>
<dd>a (non-empty) numeric vector of data values.</dd>


<dt>y</dt>
<dd>a (non-empty) numeric vector of data values.</dd>


<dt>alternative</dt>
<dd>a character string specifying the alternative hypothesis,
must be one of "two.sided", "greater", or "less".</dd>


<dt>delta</dt>
<dd>a numeric value indicating the true difference in the location
or scale parameter, depending on whether the test should be
performed for a difference in location or in scale.</dd>


<dt>type</dt>
<dd>a character string specifying the desired test statistic. It must
be one of <code>"HL11"</code>, <code>"HL12", "HL21", "HL22", "MED1"</code>,
and <code>"MED2"</code>, where <code>"HL1"</code>, <code>"HL2"</code> and
<code>"MED"</code> specify the location estimator and the numbers
<code>1</code> and <code>2</code> the scale estimator, see the vignette
(<code>vignette("robnptests")</code>) for more information.</dd>

</dl>

compute_results_asymptotic: Test decision for asymptotic versions of HL1-, HL2-, and MED-tests

Description

Usage

Value

Arguments