tdiff_distributions

dtdiff

ptdiff

qtdiff

rtdiff

Distribution Functions for Approximated t-Difference

Implements the Welch-Satterthwaite approximation for differences
of non-standardized t-distributed random variables in both univariate and
multivariate settings. The package provides methods for computing effective
degrees of freedom and scale parameters, as well as distribution functions
for the approximated difference distribution. The methodology extends the
classical Welch-Satterthwaite framework from variance combinations to
t-distribution differences through careful moment matching. Methods build
on the classical Welch-Satterthwaite approach described in Welch (1947)
<doi:10.1093/biomet/34.1-2.28> and Satterthwaite (1946) <doi:10.2307/3002019>.

Yusuke Yamaguchi

wstdiff

Welch-Satterthwaite Approximation for t-Distribution Differences

tdiff_distributions function

<dl><dt>x, q</dt>
<dd>Vector of quantiles</dd>
<dt>ws_result</dt>
<dd>Result from ws_tdiff_univariate()</dd>
<dt>p</dt>
<dd>Vector of probabilities</dd>
<dt>n</dt>
<dd>Number of observations</dd></dl>

Arguments

Distribution Functions for Approximated t-Difference — tdiff_distributions

<dl>

<dt>x, q</dt>
<dd>Vector of quantiles</dd>


<dt>ws_result</dt>
<dd>Result from ws_tdiff_univariate()</dd>


<dt>p</dt>
<dd>Vector of probabilities</dd>


<dt>n</dt>
<dd>Number of observations</dd>

</dl>

tdiff_distributions: Distribution Functions for Approximated t-Difference

Description

Usage

Value

Arguments

Examples