rUV_fc

A Gibbs sampler for updating the multiplicative effect matrices U and V

Analysis of dyadic network and relational data using additive and
multiplicative effects (AME) models. The basic model includes
regression terms, the covariance structure of the social relations model
(Warner, Kenny and Stoto (1979) <DOI:10.1037/0022-3514.37.10.1742>,
Wong (1982) <DOI:10.2307/2287296>), and multiplicative factor
models (Hoff(2009) <DOI:10.1007/s10588-008-9040-4>).
Several different link functions accommodate different
relational data structures, including binary/network data, normal
relational data, zero-inflated positive outcomes using a tobit model, ordinal relational data and data from
fixed-rank nomination schemes. Several of these link functions are
discussed in Hoff, Fosdick, Volfovsky and Stovel (2013)
<DOI:10.1017/nws.2013.17>. Development of this
software was supported in part by NIH grant R01HD067509.

Peter Hoff

amen

Additive and Multiplicative Effects Models for Networks and
Relational Data

Bailey Fosdick

Alex Volfovsky

Yanjun He

rUV_fc function

<dl><dt>Z</dt>
<dd>n X n normal relational matrix</dd>
<dt>U</dt>
<dd>current value of U</dd>
<dt>V</dt>
<dd>current value of V</dd>
<dt>Suv</dt>
<dd>covariance of (U V)</dd>
<dt>rho</dt>
<dd>dyadic correlation</dd>
<dt>s2</dt>
<dd>dyadic variance</dd>
<dt>offset</dt>
<dd>a matrix of the same dimension as Z. It is assumed that
Z-offset is equal to the multiplicative effects plus dyadic noise, so the 
offset should contain any additive effects (such as <code>Xbeta(X,beta+ 
outer(a,b,"+") </code> )</dd></dl>

Arguments

Author

Gibbs sampling of U and V — rUV_fc

<dl>

<dt>Z</dt>
<dd>n X n normal relational matrix</dd>


<dt>U</dt>
<dd>current value of U</dd>


<dt>V</dt>
<dd>current value of V</dd>


<dt>Suv</dt>
<dd>covariance of (U V)</dd>


<dt>rho</dt>
<dd>dyadic correlation</dd>


<dt>s2</dt>
<dd>dyadic variance</dd>


<dt>offset</dt>
<dd>a matrix of the same dimension as Z. It is assumed that
Z-offset is equal to the multiplicative effects plus dyadic noise, so the 
offset should contain any additive effects (such as <code>Xbeta(X,beta+ 
outer(a,b,"+") </code> )</dd>

</dl>

rUV_fc: Gibbs sampling of U and V

Description

Usage

Value

Arguments

Author