OwenQ1

Evaluates the first Owen Q-function (integral from \(0\) to \(R\))
for an integer value of the degrees of freedom.

Evaluates the Owen Q-function for an integer value of the
degrees of freedom, by applying Owen's algorithm (1965)
<doi:10.1093/biomet/52.3-4.437>. It is useful for the calculation of
the power of equivalence tests.

Stc3<a9>phane Laurent

OwenQ

Owen Q-Function

OwenQ1 function

<dl><dt>nu</dt>
<dd>integer greater than \(1\), the number of degrees of freedom</dd>
<dt>t</dt>
<dd>number, positive or negative, possibly infinite</dd>
<dt>delta</dt>
<dd>vector of finite numbers, with the same length as <code>R</code></dd>
<dt>R</dt>
<dd>(upper bound of the integral) vector of finite positive numbers,
with the same length as <code>delta</code></dd>
<dt>algo</dt>
<dd>the algorithm, <code>1</code> or <code>2</code></dd></dl>

Arguments

First Owen Q-function — OwenQ1

<dl>

<dt>nu</dt>
<dd>integer greater than \(1\), the number of degrees of freedom</dd>


<dt>t</dt>
<dd>number, positive or negative, possibly infinite</dd>


<dt>delta</dt>
<dd>vector of finite numbers, with the same length as <code>R</code></dd>


<dt>R</dt>
<dd>(upper bound of the integral) vector of finite positive numbers,
with the same length as <code>delta</code></dd>


<dt>algo</dt>
<dd>the algorithm, <code>1</code> or <code>2</code></dd>

</dl>

OwenQ1: First Owen Q-function

Description

Usage

Value

Arguments

References

Examples