rrho_mh

Draws a new value of the dyadic correlation rho from its full conditional
using a random-walk-style Metropolis-Hastings step. Each dyad's pair of
directed residuals is modelled as bivariate normal with unit variances
(after scaling by the dyadic variance) and correlation rho; the proposal is
a normal truncated to (-1, 1) and the acceptance ratio combines the
bivariate-normal log-likelihood, an optional arc-sine prior, and the
truncated-proposal normaliser.

internal

Additive and multiplicative effects models for both cross-sectional and longitudinal network analysis. The package provides two main functions: ame() for cross-sectional networks and lame() for longitudinal networks. It supports square and rectangular network structures. Key features include: (1) Cross-sectional network analysis via ame() with support for binary, continuous, ordinal, and count data; (2) Longitudinal network analysis via lame() with additive sender/receiver and multiplicative latent-factor effects that can evolve over time through AR(1) processes (Sewell and Chen (2015) <doi:10.1080/01621459.2014.988214>; Durante and Dunson (2014) <doi:10.1093/biomet/asu040>); (3) Handling of changing actor compositions across time periods in longitudinal models; (4) Performance improvements through C++ implementations via 'Rcpp' and 'RcppArmadillo'.

Shahryar Minhas

lame

Longitudinal Additive and Multiplicative Effects Models for
Networks

Cassy Dorff

Tosin Salau

rrho_mh function

<dl><dt>Z</dt>
<dd>n x n normal relational matrix.</dd>
<dt>rho</dt>
<dd>current value of rho.</dd>
<dt>s2</dt>
<dd>current value of the dyadic variance.</dd>
<dt>offset</dt>
<dd>matrix matching <code>Z</code>; <code>Z - offset</code> is treated as
dyadic noise (so it should absorb any additive/multiplicative effects).</dd>
<dt>asp</dt>
<dd>logical; use an arc-sine prior (<code>TRUE</code>, the default when
<code>NULL</code>) or a uniform prior (<code>FALSE</code>).</dd></dl>

Arguments

Author

Metropolis-Hastings update for the within-dyad correlation — rrho_mh

<dl>

<dt>Z</dt>
<dd>n x n normal relational matrix.</dd>


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


<dt>s2</dt>
<dd>current value of the dyadic variance.</dd>


<dt>offset</dt>
<dd>matrix matching <code>Z</code>; <code>Z - offset</code> is treated as
dyadic noise (so it should absorb any additive/multiplicative effects).</dd>


<dt>asp</dt>
<dd>logical; use an arc-sine prior (<code>TRUE</code>, the default when
<code>NULL</code>) or a uniform prior (<code>FALSE</code>).</dd>

</dl>

rrho_mh: Metropolis-Hastings update for the within-dyad correlation

Description

Usage

Value

Arguments

Author