rbeta_ab_rep_fc

Simulates from the joint full conditional distribution of (a,b,beta),
assuming same additive row and column effects and regression coefficient
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

rbeta_ab_rep_fc function

<dl><dt>Z.T</dt>
<dd>n x n x T array, with the third dimension for replicates.
Each slice of the array is a (latent) normal relational matrix, with
multiplicative effects subtracted out</dd>
<dt>Sab</dt>
<dd>row and column covariance</dd>
<dt>rho</dt>
<dd>dyadic correlation</dd>
<dt>X.T</dt>
<dd>n x n x p x T covariate array</dd>
<dt>s2</dt>
<dd>dyadic variance</dd></dl>

Arguments

Author

Gibbs sampling of additive row and column effects and regression coefficient
with independent replicate relational data — rbeta_ab_rep_fc

<dl>

<dt>Z.T</dt>
<dd>n x n x T array, with the third dimension for replicates.
Each slice of the array is a (latent) normal relational matrix, with
multiplicative effects subtracted out</dd>


<dt>Sab</dt>
<dd>row and column covariance</dd>


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


<dt>X.T</dt>
<dd>n x n x p x T covariate array</dd>


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

</dl>

rbeta_ab_rep_fc: Gibbs sampling of additive row and column effects and regression coefficient with independent replicate relational data

Description

Usage

Value

Arguments

Author