Learn R Programming

ergm (version 4.10.1)

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) .

Copy Link

Version

Install

install.packages('ergm')

Monthly Downloads

10,151

Version

4.10.1

License

GPL-3 + file LICENSE

Maintainer

Pavel N. Krivitsky

Last Published

August 27th, 2025

Functions in ergm (4.10.1)

CondOutDegreeDist-ergmProposal

MHp for odegreedist constraints

DiscUnif-ergmReference

Discrete Uniform reference

Impose a curved structure on term parameters

Exponentiate a network's statistic

A for operator for terms

Dyads-ergmConstraint

Constrain fixed or varying dyad-independent terms

DistRLE-ergmProposal

DiscUnif-ergmProposal

ConstantEdges-ergmProposal

MHp for edges constraints

Modify terms' coefficient names

Take a natural logarithm of a network's statistic

NodematchFilter-ergmTerm

Filtering on nodematch

DiscUnif2-ergmProposal

HammingTNT-ergmProposal

Unif-ergmProposal

DiscUnifNonObserved-ergmProposal

Project-ergmTerm

Evaluation on a projection of a bipartite network

Filtering on arbitrary one-term model

Evaluation on an induced subgraph

SPDyad-ergmProposal

A proposal alternating between TNT and a triad-focused proposal

HammingConstantEdges-ergmProposal

Offset-ergmTerm

Terms with fixed coefficients

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

Symmetrize-ergmTerm

Evaluation on symmetrized (undirected) network

TNT-ergmProposal

Default MH algorithm

StdNormal-ergmProposal

asymmetric-ergmTerm

Asymmetric dyads

atleast-ergmTerm

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

as.network.numeric

Create a Simple Random network of a Given Size

b1factor-ergmTerm

Factor attribute effect for the first mode in a bipartite network

Unif-ergmReference

Continuous Uniform reference

absdiff-ergmTerm

Absolute difference in nodal attribute

approx.hotelling.diff.test

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

atmost-ergmTerm

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

Dyadwise shared partners for dyads in the first bipartition

UnifNonObserved-ergmProposal

b1degrees-ergmConstraint

Preserve the actor degree for bipartite networks

attrcov-ergmTerm

Edge covariate by attribute pairing

b1degree-ergmTerm

Degree for the first mode in a bipartite network

b1factordistinct-ergmTerm

Number of distinct neighbor types for the first node

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

ANOVA for ERGM Fits

b2mindegree-ergmTerm

Minimum 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

b1concurrent-ergmTerm

Concurrent node count for the first mode in a bipartite network

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

b1mindegree-ergmTerm

Minimum degree for the first mode in a bipartite network

b2nodematch-ergmTerm

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

as.rlebdm.ergm_conlist

Extract dyad-level ERGM constraint information into an rlebdm object

b1sociality-ergmTerm

b1star-ergmTerm

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

b2sociality-ergmTerm

b2factordistinct-ergmTerm

Number of distinct neighbor types for the second mode

b1starmix-ergmTerm

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

StdNormal-ergmReference

Standard Normal reference

b2factor-ergmTerm

Factor attribute effect for the second mode in a bipartite network

b2star-ergmTerm

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

blockdiag-ergmConstraint

Block-diagonal structure constraint

blocks-ergmConstraint

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

Locate and call an ERGM term initialization function.

Ensures an Ergm Term and its Arguments Meet Appropriate Conditions

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

altkstar-ergmTerm

Alternating \(k\)-star

absdiffcat-ergmTerm

Categorical absolute difference in nodal attribute

b2starmix-ergmTerm

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

b2twostar-ergmTerm

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

coincidence-ergmTerm

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

Dyadwise shared partners for dyads in the second bipartition

b2degrees-ergmConstraint

Preserve the receiver degree for bipartite networks

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

b1twostar-ergmTerm

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

b1degrange-ergmTerm

Degree range for the first mode in a bipartite network

b1covrange-ergmTerm

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

b2concurrent-ergmTerm

Concurrent node count for the second mode in a bipartite network

b2degrange-ergmTerm

Degree range for the second mode in a bipartite network

b2degree-ergmTerm

Degree for the second mode in a bipartite network

bd-ergmConstraint

Constrain maximum and minimum vertex degree

balance-ergmTerm

Balanced triads

control.simulate.ergm

Auxiliary for Controlling ERGM Simulation

Auxiliary for Controlling ERGM Goodness-of-Fit Evaluation

Auxiliary for Controlling SAN

control.ergm.bridge

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

Auxiliary function for fine-tuning ERGM fitting.

cyclicalties-ergmTerm

degrange-ergmTerm

concurrent-ergmTerm

Concurrent node count

degcrossprod-ergmTerm

Degree Cross-Product

concurrentties-ergmTerm

Concurrent tie count

degree1.5-ergmTerm

Degree to the 3/2 power

degree-ergmTerm

ctriple-ergmTerm

degreedist-ergmConstraint

Preserve the degree distribution of the given network

cyclicalweights-ergmTerm

Cyclical weights

degcor-ergmTerm

Degree Correlation

Directed dyadwise shared partners

Computes and Returns the Degree Distribution Information for a Given Network

dyadnoise-ergmConstraint

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

edgecov-ergmTerm

dyadcov-ergmTerm

Dyadic covariate

dyadnoiseTNT-ergmProposal

edges-ergmConstraint

Preserve the edge count of the given network

dyadnoise-ergmProposal

Number of edges in the network

egocentric-ergmConstraint

Preserve values of dyads incident on vertices with given attribute

ergm-deprecated

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

Functions that have been removed from this package

density-ergmTerm

degrees-ergmConstraint

Preserve the degree of each vertex of the given network

.dyads-ergmConstraint

A meta-constraint indicating handling of arbitrary dyadic constraints

Two versions of an E. Coli network dataset

Global options and term options for the ergm package

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

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.

Internal ergm Objects

Sensible error and warning messages by ergm initializers

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

Parallel Processing in the ergm Package

ergm.getnetwork

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

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

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.

Operations to map curved ergm() parameters onto canonical parameters

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

ergm.geodistdist

Calculate geodesic distance distribution for a network or edgelist

ergm_Cstate_clear

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

Keywords defined for Exponential-Family Random Graph Models

Find a maximizer to the psuedolikelihood function

Metropolis-Hastings Proposal Methods for ERGM MCMC

MCMC Hints for Exponential-Family Random Graph Models

Reference Measures for Exponential-Family Random Graph Models

Auxiliaries to Facilitate Terms in Exponential Family Random Graph Models

Sample Space Constraints for Exponential-Family Random Graph Models

Terms used in Exponential Family Random Graph Models

ERGM Predictors and response for logistic regression calculation of MPLE

ergm_MCMC_sample

Internal Function to Sample Networks and Network Statistics

Initializes the parameters to bound degree during sampling

ergm_cutoff_message

Helper function for constructing gw* cutoff error messages

Internal representation of an ergm network model

ergm_dyadgen_select

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

Internal Function to Perform Simulated Annealing

ergm_edgecov_args

A common pattern for obtaining an edge covariate

Dynamic ERGM keyword registry

Curved settings for geometric weights for the gw* terms

ergm_mk_std_op_namewrap

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

ergm_plot.mcmc.list

Plot MCMC list using lattice package graphics

ergm_proposal_table

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

ergm_state_cache

A rudimentary cache for large objects

ergm_symmetrize

Return a symmetrized version of a binary network

ergm_preprocess_response

Update the network and the response argument.

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

ergm_propagate_ext.encode

Extended states for submodels

Directed edgewise shared partners

fixallbut-ergmConstraint

Preserve the dyad status in all but the given edges

A Representation of ERGM state

fixedas-ergmConstraint

Fix specific dyads

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

faux.dixon.high

Faux dixon High School as a network object

faux.magnolia.high

Goodreau's Faux Magnolia High School as a network object

Goodreau's Faux Mesa High School as a network object

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

faux.desert.high

Faux desert High School as a network object

Geometrically weighted dyadwise shared partner distribution

Functions to initialize the ergm_proposal object

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

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

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

gwb2degree-ergmTerm

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

gwb1dsp-ergmTerm

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

Geometrically weighted edgewise shared partner distribution

greaterthan-ergmTerm

Number of dyads with values strictly greater than a threshold

gwdegree-ergmTerm

Geometrically weighted degree 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

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

idegree-ergmTerm

idegree1.5-ergmTerm

In-degree to the 3/2 power

gwidegree-ergmTerm

Geometrically weighted in-degree distribution

hamming-ergmTerm

Hamming distance

idegreedist-ergmConstraint

Preserve the indegree distribution

gwodegree-ergmTerm

Geometrically weighted out-degree distribution

Geometrically weighted non-edgewise shared partner distribution

idegrange-ergmTerm

In-degree range

idegrees-ergmConstraint

Preserve indegree for directed networks

isolatededges-ergmTerm

isolates-ergmTerm

Testing for curved exponential family

hamming-ergmConstraint

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

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

is.dyad.independent

Testing for dyad-independence

Kapferer's tailor shop data

ininterval-ergmTerm

Number of dyads whose values are in an interval

intransitive-ergmTerm

Intransitive triads

localtriangle-ergmTerm

Triangles within neighborhoods

Calculate the null model likelihood

m2star-ergmTerm

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

Synthetic network with 20 nodes and 28 edges

meandeg-ergmTerm

Mean vertex degree

Mixing matrix cells and margins

A logLik() method for ergm fits.

mcmc.diagnostics

Conduct MCMC diagnostics on a model fit

nearsimmelian-ergmTerm

Near simmelian triads

mutual-ergmTerm

nodeicov-ergmTerm

Main effect of a covariate for in-edges

nodecovar-ergmTerm

Covariance of undirected dyad values incident on each actor

nodefactor-ergmTerm

Factor attribute effect

nodal_attributes

Specifying nodal attributes and their levels

nodeicovar-ergmTerm

Covariance of in-dyad values incident on each actor

nodefactordistinct-ergmTerm

Number of distinct neighbor types

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

nodecovrange-ergmTerm

Range of covariate values for neighbors of a node

nodecov-ergmTerm

Main effect of a covariate

nodal_attributes-API

Helper functions for specifying nodal attribute levels

nodemix-ergmTerm

Nodal attribute mixing

nodeifactordistinct-ergmTerm

Number of distinct in-neighbor types

nodematch-ergmTerm

Uniform homophily and differential homophily

nodeofactor-ergmTerm

Factor attribute effect for out-edges

nodeocovar-ergmTerm

Covariance of out-dyad values incident on each actor

nodeifactor-ergmTerm

Factor attribute effect for in-edges

nodeocov-ergmTerm

Main effect of a covariate for out-edges

nodeofactordistinct-ergmTerm

Number of distinct out-neighbor types

nodeocovrange-ergmTerm

Range of covariate values for out-neighbors of a node

nodeicovrange-ergmTerm

Range of covariate values for in-neighbors of a node

odegrees-ergmConstraint

Preserve outdegree for directed networks

observed-ergmConstraint

Preserve the observed dyads of the given network

odegree-ergmTerm

odegrange-ergmTerm

Out-degree range

opentriad-ergmTerm

Directed non-edgewise shared partners

nvattr.copy.network

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

odegree1.5-ergmTerm

Out-degree to the 3/2 power

odegreedist-ergmConstraint

Preserve the outdegree distribution

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

A lack-of-fit test for ERGMs

Longitudinal networks of positive affection within a monastery as a "network" object

predict.formula

ERGM-based tie probabilities

receiver-ergmTerm

Receiver effect

RLE-Compressed Boolean Dyad Matrix

Cumulative network of positive affection within a monastery as a "network" object

Names of the parameters associated with an object.

randomtoggle-ergmProposal

Propose a randomly selected dyad to toggle

Generate networks with a given set of network statistics

simulate.formula

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

smallerthan-ergmTerm

Number of dyads with values strictly smaller than a threshold

search.ergmTerms

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

sender-ergmTerm

simmelianties-ergmTerm

Ties in simmelian triads

smalldiff-ergmTerm

Number of ties between actors with similar attribute values

Draw from the distribution of an Exponential Family Random Graph Model

Statnet Control

simmelian-ergmTerm

Simmelian triads

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

sparse-ergmHint

Summarizing ERGM Model Fits

Sum of dyad values (optionally taken to a power)

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

Stratify Proposed Toggles by Mixing Type on a Vertex Attribute

sociality-ergmTerm

Undirected degree

summary.ergm_model

Evaluate network summary statistics from an initialized ergm model

.spcache.net-ergmAuxiliary

Shared Partner Cache

summary.formula

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

summary_formula

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

transitiveweights-ergmTerm

Transitive weights

to_ergm_Cdouble

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

triangle-ergmTerm

transitive-ergmTerm

Transitive triads

triadic-ergmHint

Network with strong clustering (triad-closure) effects

tripercent-ergmTerm

Triangle percentage

triadcensus-ergmTerm

ttriple-ergmTerm

Transitive triples

threetrail-ergmTerm

transitiveties-ergmTerm

Transitive ties

twopath-ergmTerm

Weighted Median

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.

Update the edges in a network based on a matrix

CondInDegree-ergmProposal

MHp for idegree constraints

Bernoulli-ergmReference

Bernoulli reference

Wrap binary terms for use in valued models

CondInDegreeDist-ergmProposal

MHp for idegreedist constraints

CondDegreeMix-ergmProposal

MHp for degree mix constraints

CondB2Degree-ergmProposal

MHp for b2degree constraints

CondB1Degree-ergmProposal

MHp for b1degree constraints

CondDegree-ergmProposal

MHp for degree constraints

CondDegreeDist-ergmProposal

MHp for degreedist constraints

BDStratTNT-ergmProposal

TNT proposal with degree bounds, stratification, and a blocks constraint

CondOutDegree-ergmProposal

MHp for odegree constraints