harsm_invlink

The inverse link function for the softmax. This function
takes the group-wise probabilities, \(\mu\), and computes
the expected ranks within each group under the Harville
model. That is, it is a groupwise computation of 
the <code>erank</code> function.

Supports the modeling of ordinal random variables,
like the outcomes of races, via Softmax regression,
under the Harville <doi:10.1080/01621459.1973.10482425> and
Henery <doi:10.1111/j.2517-6161.1981.tb01153.x> models.

Steven E. Pav

ohenery

Modeling of Ordinal Random Variables via Softmax Regression

harsm_invlink function

<dl><dt>eta</dt>
<dd>a vector of the odds.
Must be the same length as <code>g</code> if <code>g</code> is given.</dd>
<dt>mu</dt>
<dd>a vector of the probabilities. Should sum to one,
at least per group. 
Should be the same size as <code>g</code> if given. 
If both <code>mu</code> and <code>eta</code> are given, a warning
is issued, and the <code>mu</code> is used.</dd>
<dt>g</dt>
<dd>a vector giving the group indices. If <code>NULL</code>,
then we assume only one group is in consideration.</dd></dl>

Arguments

Steven E. Pav <a href="/link/shabbychef%40gmail.com?package=ohenery&version=0.1.3" data-mini-rdoc="ohenery::shabbychef@gmail.com">shabbychef@gmail.com</a>

Author

The inverse link for the softmax. — harsm_invlink

<dl>

<dt>eta</dt>
<dd>a vector of the odds.
Must be the same length as <code>g</code> if <code>g</code> is given.</dd>


<dt>mu</dt>
<dd>a vector of the probabilities. Should sum to one,
at least per group. 
Should be the same size as <code>g</code> if given. 
If both <code>mu</code> and <code>eta</code> are given, a warning
is issued, and the <code>mu</code> is used.</dd>


<dt>g</dt>
<dd>a vector giving the group indices. If <code>NULL</code>,
then we assume only one group is in consideration.</dd>

</dl>

Steven E. Pav <a href='mailto:shabbychef@gmail.com'>shabbychef@gmail.com</a>

harsm_invlink: The inverse link for the softmax.

Description

Usage

Value

Arguments

Author

See Also

Examples