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ergm (version 4.12.0)

Fit, Simulate and Diagnose Exponential-Family Models for Networks

Description

An integrated set of tools to analyze and simulate networks based on exponential-family random graph models (ERGMs). 'ergm' is a part of the Statnet suite of packages for network analysis. See Hunter, Handcock, Butts, Goodreau, and Morris (2008) and Krivitsky, Hunter, Morris, and Klumb (2023) .

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Install

install.packages('ergm')

Monthly Downloads

8,222

Version

4.12.0

License

GPL-3 + file LICENSE

Maintainer

Pavel N. Krivitsky

Last Published

February 17th, 2026

Functions in ergm (4.12.0)

Impose a curved structure on term parameters

DiscUnif-ergmProposal

CondOutDegree-ergmProposal

MHp for odegree constraints

CondInDegreeDist-ergmProposal

MHp for idegreedist constraints

DiscUnif-ergmReference

Discrete Uniform reference

DiscUnif2-ergmProposal

A for operator for terms

Filtering on arbitrary one-term model

DistRLE-ergmProposal

Exponentiate a network's statistic

Dyads-ergmConstraint

Constrain fixed or varying dyad-independent terms

DiscUnifNonObserved-ergmProposal

I-ergmConstraint

Substitute a formula into the constraints formula

Evaluation on an induced subgraph

Substitute a formula into the model formula

StdNormal-ergmReference

Standard Normal reference

Modify terms' coefficient names

Take a natural logarithm of a network's statistic

SPDyad-ergmProposal

A proposal alternating between TNT and a triad-focused proposal

StdNormal-ergmProposal

Project-ergmTerm

Evaluation on a projection of a bipartite network

A product (or an arbitrary power combination) of one or more formulas

TNT-ergmProposal

Default MH algorithm

Symmetrize-ergmTerm

Evaluation on symmetrized (undirected) network

A sum (or an arbitrary linear combination) of one or more formulas

Unif-ergmProposal

approx.hotelling.diff.test

Approximate Hotelling T^2-Test for One or Two Population Means

as.network.numeric

Create a Simple Random network of a Given Size

Offset-ergmTerm

Terms with fixed coefficients

NodematchFilter-ergmTerm

Filtering on nodematch

absdiff-ergmTerm

Absolute difference in nodal attribute

atleast-ergmTerm

Number of dyads with values greater than or equal to a threshold

altkstar-ergmTerm

Alternating \(k\)-star

ANOVA for ERGM Fits

atmost-ergmTerm

Number of dyads with values less than or equal to a threshold

asymmetric-ergmTerm

Asymmetric dyads

as.rlebdm.ergm_conlist

Extract dyad-level ERGM constraint information into an rlebdm object

Unif-ergmReference

Continuous Uniform reference

absdiffcat-ergmTerm

Categorical absolute difference in nodal attribute

Main effect of a covariate for the first mode in a bipartite network

b1concurrent-ergmTerm

Concurrent node count for the first mode in a bipartite network

b1covrange-ergmTerm

Range of covariate values for neighbors of a mode-1 node

UnifNonObserved-ergmProposal

HammingConstantEdges-ergmProposal

ConstantEdges-ergmProposal

MHp for edges constraints

HammingTNT-ergmProposal

CondOutDegreeDist-ergmProposal

MHp for odegreedist constraints

attrcov-ergmTerm

Edge covariate by attribute pairing

b1mindegree-ergmTerm

Minimum degree for the first mode in a bipartite network

b1degree-ergmTerm

Degree for the first mode in a bipartite network

b1degrange-ergmTerm

Degree range for the first mode in a bipartite network

b1sociality-ergmTerm

b1degrees-ergmConstraint

Preserve the actor degree for bipartite networks

b1star-ergmTerm

\(k\)-stars for the first mode in a bipartite network

b1starmix-ergmTerm

Mixing matrix for \(k\)-stars centered on the first mode of a bipartite network

b2concurrent-ergmTerm

Concurrent node count for the second mode in a bipartite network

Dyadwise shared partners for dyads in the first bipartition

Main effect of a covariate for the second mode in a bipartite network

b2degrees-ergmConstraint

Preserve the receiver degree for bipartite networks

b2degree-ergmTerm

Degree for the second mode in a bipartite network

b2covrange-ergmTerm

Range of covariate values for neighbors of a mode-2 node

b1nodematch-ergmTerm

Nodal attribute-based homophily effect for the first mode in a bipartite network

b2degrange-ergmTerm

Degree range for the second mode in a bipartite network

b2star-ergmTerm

\(k\)-stars for the second mode in a bipartite network

b1twostar-ergmTerm

Two-star census for central nodes centered on the first mode of a bipartite network

Dyadwise shared partners for dyads in the second bipartition

b1factordistinct-ergmTerm

Number of distinct neighbor types for the first node

b2nodematch-ergmTerm

Nodal attribute-based homophily effect for the second mode in a bipartite network

b1factor-ergmTerm

Factor attribute effect for the first mode in a bipartite network

b2factor-ergmTerm

Factor attribute effect for the second mode in a bipartite network

b2starmix-ergmTerm

Mixing matrix for \(k\)-stars centered on the second mode of a bipartite network

b2sociality-ergmTerm

b2factordistinct-ergmTerm

Number of distinct neighbor types for the second mode

balance-ergmTerm

Balanced triads

b2twostar-ergmTerm

Two-star census for central nodes centered on the second mode of a bipartite network

bd-ergmConstraint

Constrain maximum and minimum vertex degree

b2mindegree-ergmTerm

Minimum degree for the second mode in a bipartite network

blockdiag-ergmConstraint

Block-diagonal structure constraint

Empirical cumulative distribution function (unnormalized) of the network's dyad values

Auxiliary function for fine-tuning ERGM fitting.

coincidence-ergmTerm

Coincident node count for the second mode in a bipartite (aka two-mode) network

Ensures an Ergm Term and its Arguments Meet Appropriate Conditions

blocks-ergmConstraint

Constrain blocks of dyads defined by mixing type on a vertex attribute.

Locate and call an ERGM term initialization function.

Target statistics and model fit to a hypothetical 50,000-node network population with 50,000 nodes based on egocent

Auxiliary for Controlling SAN

Auxiliary for Controlling ERGM Goodness-of-Fit Evaluation

control.ergm.bridge

Auxiliaries for Controlling ergm.bridge.llr() and logLik.ergm()

concurrent-ergmTerm

Concurrent node count

concurrentties-ergmTerm

Concurrent tie count

degcor-ergmTerm

Degree Correlation

ctriple-ergmTerm

degrange-ergmTerm

cyclicalweights-ergmTerm

Cyclical weights

degcrossprod-ergmTerm

Degree Cross-Product

degree-ergmTerm

degree1.5-ergmTerm

Degree to the 3/2 power

control.simulate.ergm

Auxiliary for Controlling ERGM Simulation

cyclicalties-ergmTerm

dyadnoise-ergmConstraint

A soft constraint to adjust the sampled distribution for dyad-level noise with known perturbation probabilities

Computes and Returns the Degree Distribution Information for a Given Network

Directed dyadwise shared partners

dyadnoiseTNT-ergmProposal

degrees-ergmConstraint

Preserve the degree of each vertex of the given network

density-ergmTerm

degreedist-ergmConstraint

Preserve the degree distribution of the given network

dyadnoise-ergmProposal

dyadcov-ergmTerm

Dyadic covariate

edgecov-ergmTerm

equalto-ergmTerm

Number of dyads with values equal to a specific value (within tolerance)

enformulate.curved-deprecated

Convert a curved ERGM into a form suitable as initial values for the same ergm. Deprecated in 4.0.0.

edges-ergmConstraint

Preserve the edge count of the given network

ergm-deprecated

Functions that will no longer be supported in future releases of the package

.dyads-ergmConstraint

A meta-constraint indicating handling of arbitrary dyadic constraints

Functions that have been removed from this package

Two versions of an E. Coli network dataset

Number of edges in the network

egocentric-ergmConstraint

Preserve values of dyads incident on vertices with given attribute

Calculate all possible vectors of statistics on a network for an ERGM

Global options and term options for the ergm package

Parallel Processing in the ergm Package

Obtain the set of informative dyads based on the network structure.

Sensible error and warning messages by ergm initializers

ergm: Fit, Simulate and Diagnose Exponential-Family Models for Networks

ergm.bridge.llr

Bridge sampling to evaluate ERGM log-likelihoods and log-likelihood ratios

Exponential-Family Random Graph Models

Compute the Sample Estimating Function Values of an ERGM.

Keywords defined for Exponential-Family Random Graph Models

ergm.getnetwork

Acquire and verify the network from the LHS of an ergm formula and verify that it is a valid network.

Internal ergm Objects

Operations to map curved ergm() parameters onto canonical parameters

ergm.geodistdist

Calculate geodesic distance distribution for a network or edgelist

MCMC Hints for Exponential-Family Random Graph Models

Sample Space Constraints for Exponential-Family Random Graph Models

ERGM Predictors and response for logistic regression calculation of MPLE

Find a maximizer to the psuedolikelihood function

Auxiliaries to Facilitate Terms in Exponential Family Random Graph Models

ergm_MCMC_sample

Internal Function to Sample Networks and Network Statistics

Curved settings for geometric weights for the gw* terms

Terms used in Exponential Family Random Graph Models

ergm_Cstate_clear

Deallocate the C data structures corresponding to an ergm_state left over from a .Call() run.

A function to apply a given series of changes to a network.

ergm_dyadgen_select

A helper function to select and construct a dyad generator for C.

ergm_cutoff_message

Helper function for constructing gw* cutoff error messages

ergm_plot.mcmc.list

Plot MCMC list using lattice package graphics

ergm_preprocess_response

Update the network and the response argument.

ergm_mk_std_op_namewrap

Combine an operator term's and a subterm's name in a standard fashion.

Internal representation of an ergm network model

Reference Measures for Exponential-Family Random Graph Models

Metropolis-Hastings Proposal Methods for ERGM MCMC

ergm_proposal_table

Table mapping reference,constraints, etc. to ERGM Metropolis-Hastings proposals

A Representation of ERGM state

faux.magnolia.high

Goodreau's Faux Magnolia High School as a network object

ergm_propagate_ext.encode

Extended states for submodels

Initializes the parameters to bound degree during sampling

ergm_edgecov_args

A common pattern for obtaining an edge covariate

Goodreau's Faux Mesa High School as a network object

Internal Function to Perform Simulated Annealing

fixedas-ergmConstraint

Fix specific dyads

Functions to initialize the ergm_proposal object

fixallbut-ergmConstraint

Preserve the dyad status in all but the given edges

gwb1dsp-ergmTerm

Geometrically weighted dyadwise shared partner distribution for dyads in the first bipartition

gwb2degree-ergmTerm

Geometrically weighted degree distribution for the second mode in a bipartite network

Dynamic ERGM keyword registry

Convert a curved ERGM into a corresponding "fixed" ERGM.

faux.desert.high

Faux desert High School as a network object

Florentine Family Marriage and Business Ties Data as a "network" object

Goodreau's four node network as a "network" object

faux.dixon.high

Faux dixon High School as a network object

gwodegree-ergmTerm

Geometrically weighted out-degree distribution

Multivariate version of coda's coda::geweke.diag().

hamming-ergmConstraint

Preserve the hamming distance to the given network (BROKEN: Do NOT Use)

Conduct Goodness-of-Fit Diagnostics on a Exponential Family Random Graph Model

ergm_symmetrize

Return a symmetrized version of a binary network

ergm_state_cache

A rudimentary cache for large objects

Geometrically weighted dyadwise shared partner distribution

greaterthan-ergmTerm

Number of dyads with values strictly greater than a threshold

Directed edgewise shared partners

Geometrically weighted edgewise shared partner distribution

gwb1degree-ergmTerm

Geometrically weighted degree distribution for the first mode in a bipartite network

gwb2dsp-ergmTerm

Geometrically weighted dyadwise shared partner distribution for dyads in the second bipartition

gwdegree-ergmTerm

Geometrically weighted degree distribution

hamming-ergmTerm

Hamming distance

An API for specifying aspects of an ergm model in the LHS/basis network.

Testing for curved exponential family

Retrieve and check assumptions about vertex attributes (nodal covariates) in a network

is.dyad.independent

Testing for dyad-independence

isolatededges-ergmTerm

Function to check whether an ERGM fit or some aspect of it is valued

idegrange-ergmTerm

In-degree range

idegree1.5-ergmTerm

In-degree to the 3/2 power

meandeg-ergmTerm

Mean vertex degree

A logLik() method for ergm fits.

localtriangle-ergmTerm

Triangles within neighborhoods

Geometrically weighted non-edgewise shared partner distribution

mcmc.diagnostics

Conduct MCMC diagnostics on a model fit

idegree-ergmTerm

gwidegree-ergmTerm

Geometrically weighted in-degree distribution

idegreedist-ergmConstraint

Preserve the indegree distribution

idegrees-ergmConstraint

Preserve indegree for directed networks

Kapferer's tailor shop data

nodal_attributes

Specifying nodal attributes and their levels

Mixing matrix cells and margins

nodecov-ergmTerm

Main effect of a covariate

nodecovrange-ergmTerm

Range of covariate values for neighbors of a node

Calculate the null model likelihood

nodecovar-ergmTerm

Covariance of undirected dyad values incident on each actor

m2star-ergmTerm

Mixed 2-stars, a.k.a 2-paths

isolates-ergmTerm

mutual-ergmTerm

nearsimmelian-ergmTerm

Near simmelian triads

intransitive-ergmTerm

Intransitive triads

ininterval-ergmTerm

Number of dyads whose values are in an interval

A convenience container for a list of network objects, output by simulate.ergm() among others.

nodal_attributes-API

Helper functions for specifying nodal attribute levels

Synthetic network with 20 nodes and 28 edges

nodeicovrange-ergmTerm

Range of covariate values for in-neighbors of a node

nodeocov-ergmTerm

Main effect of a covariate for out-edges

nodemix-ergmTerm

Nodal attribute mixing

nodeicovar-ergmTerm

Covariance of in-dyad values incident on each actor

nodeicov-ergmTerm

Main effect of a covariate for in-edges

nodematch-ergmTerm

Uniform homophily and differential homophily

nodeifactordistinct-ergmTerm

Number of distinct in-neighbor types

nodeofactor-ergmTerm

Factor attribute effect for out-edges

nodeofactordistinct-ergmTerm

Number of distinct out-neighbor types

nodeocovrange-ergmTerm

Range of covariate values for out-neighbors of a node

nodeocovar-ergmTerm

Covariance of out-dyad values incident on each actor

opentriad-ergmTerm

odegrees-ergmConstraint

Preserve outdegree for directed networks

nvattr.copy.network

Copy network- and vertex-level attributes between two network objects

observed-ergmConstraint

Preserve the observed dyads of the given network

Names of the parameters associated with an object.

odegreedist-ergmConstraint

Preserve the outdegree distribution

nodeifactor-ergmTerm

Factor attribute effect for in-edges

odegree1.5-ergmTerm

Out-degree to the 3/2 power

A lack-of-fit test for ERGMs

receiver-ergmTerm

Receiver effect

Length of the parameter vector associated with an object or with its terms.

Directed non-edgewise shared partners

nodefactordistinct-ergmTerm

Number of distinct neighbor types

nodefactor-ergmTerm

Factor attribute effect

predict.formula

ERGM-based tie probabilities

odegrange-ergmTerm

Out-degree range

odegree-ergmTerm

randomtoggle-ergmProposal

Propose a randomly selected dyad to toggle

simmelian-ergmTerm

Simmelian triads

simulate.formula

A simulate Method for formula objects that dispatches based on the Left-Hand Side

Generate networks with a given set of network statistics

search.ergmTerms

Search ERGM terms, constraints, references, hints, and proposals

Draw from the distribution of an Exponential Family Random Graph Model

simmelianties-ergmTerm

Ties in simmelian triads

Identify the position of a point relative to the convex hull of a set of points

sender-ergmTerm

sociality-ergmTerm

Undirected degree

Statnet Control

Sum of dyad values (optionally taken to a power)

Longitudinal and cumulative networks of positive and negative affect in a monastery

sparse-ergmHint

.spcache.net-ergmAuxiliary

Shared Partner Cache

RLE-Compressed Boolean Dyad Matrix

triadcensus-ergmTerm

triadic-ergmHint

Network with strong clustering (triad-closure) effects

Stratify Proposed Toggles by Mixing Type on a Vertex Attribute

Multivariate version of coda's spectrum0.ar().

Summarizing ERGM Model Fits

smallerthan-ergmTerm

Number of dyads with values strictly smaller than a threshold

smalldiff-ergmTerm

Number of ties between actors with similar attribute values

summary.ergm_model

Evaluate network summary statistics from an initialized ergm model

ttriple-ergmTerm

Transitive triples

summary.formula

Calculation of network or graph statistics or other attributes specified on a formula

twopath-ergmTerm

Weighted Median

transitiveweights-ergmTerm

Transitive weights

transitiveties-ergmTerm

Transitive ties

Update the edges in a network based on a matrix

wrap.ergm_model

Wrap a submodel's curved, empty network statistics, and extended state (read-only) specification (if present) for output from an InitErgmTerm or InitWtErgmTerm.

threetrail-ergmTerm

summary_formula

Dispatching a summary function based on the class of the LHS of a formula.

transitive-ergmTerm

Transitive triads

to_ergm_Cdouble

Methods to serialize objects into numeric vectors for passing to the C side.

tripercent-ergmTerm

Triangle percentage

triangle-ergmTerm