rs2_fc

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

rs2_fc function

<dl><dt>Z</dt>
<dd>n X n normal relational matrix</dd>
<dt>rho</dt>
<dd>current value of rho</dd>
<dt>offset</dt>
<dd>matrix of the same dimension as Z. It is assumed that Z-offset
is equal to dyadic noise, so the offset should contain any additive and 
multiplicative effects (such as <code>Xbeta(X,beta+ U%*%t(V) + 
outer(a,b,"+") </code> )</dd>
<dt>nu0</dt>
<dd>prior degrees of freedom</dd>
<dt>s20</dt>
<dd>prior estimate of s2</dd></dl>

Arguments

Author

Gibbs update for dyadic variance — rs2_fc

<dl>

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


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


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


<dt>nu0</dt>
<dd>prior degrees of freedom</dd>


<dt>s20</dt>
<dd>prior estimate of s2</dd>

</dl>

Gibbs update for dyadic variance

rs2_fc: Gibbs update for dyadic variance

Description

Usage

Value

Arguments

Author