rUV_rep_fc

A Gibbs sampler for updating the multiplicative effect matrices U and V,
assuming they are the same across replicates.

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_rep_fc function

<dl><dt>E.T</dt>
<dd>Array of square residual relational matrix series with additive
effects and covariates subtracted out. The third dimension of the array is
for different replicates. Each slice of the array according to the third
dimension is a square residual relational matrix.</dd>
<dt>U</dt>
<dd>current value of U</dd>
<dt>V</dt>
<dd>current value of V</dd>
<dt>rho</dt>
<dd>dyadic correlation</dd>
<dt>s2</dt>
<dd>dyadic variance</dd>
<dt>shrink</dt>
<dd>adaptively shrink the factors with a hierarchical prior</dd></dl>

Arguments

Author

Gibbs sampling of U and V — rUV_rep_fc

<dl>

<dt>E.T</dt>
<dd>Array of square residual relational matrix series with additive
effects and covariates subtracted out. The third dimension of the array is
for different replicates. Each slice of the array according to the third
dimension is a square residual relational matrix.</dd>


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


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


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


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


<dt>shrink</dt>
<dd>adaptively shrink the factors with a hierarchical prior</dd>

</dl>

rUV_rep_fc: Gibbs sampling of U and V

Description

Usage

Value

Arguments

Author