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ergm (version 4.8.1)

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) .

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Install

install.packages('ergm')

Monthly Downloads

9,881

Version

4.8.1

License

GPL-3 + file LICENSE

Maintainer

Pavel N. Krivitsky

Last Published

January 21st, 2025

Functions in ergm (4.8.1)

Impose a curved structure on term parameters

DiscUnif2-ergmProposal

Dyads-ergmConstraint

Constrain fixed or varying dyad-independent terms

DiscUnifNonObserved-ergmProposal

DiscUnif-ergmProposal

DistRLE-ergmProposal

ConstantEdges-ergmProposal

MHp for edges constraints

CondOutDegree-ergmProposal

MHp for odegree constraints

DiscUnif-ergmReference

Discrete Uniform reference

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

Unif-ergmReference

Continuous Uniform reference

Filtering on arbitrary one-term model

NodematchFilter-ergmTerm

Filtering on nodematch

Take a natural logarithm of a network's statistic

HammingTNT-ergmProposal

Offset-ergmTerm

Terms with fixed coefficients

Exponentiate a network's statistic

Symmetrize-ergmTerm

Evaluation on symmetrized (undirected) network

TNT-ergmProposal

Default MH algorithm

CondOutDegreeDist-ergmProposal

MHp for odegreedist constraints

Unif-ergmProposal

Modify terms' coefficient names

A for operator for terms

b1factor-ergmTerm

Factor attribute effect for the first mode in a bipartite network

approx.hotelling.diff.test

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

Dyadwise shared partners for dyads in the first bipartition

ANOVA for ERGM Fits

altkstar-ergmTerm

Alternating \(k\)-star

absdiffcat-ergmTerm

Categorical absolute difference in nodal attribute

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

Project-ergmTerm

Evaluation on a projection of a bipartite network

HammingConstantEdges-ergmProposal

StdNormal-ergmProposal

SPDyad-ergmProposal

A proposal alternating between TNT and a triad-focused proposal

b1concurrent-ergmTerm

Concurrent node count for the first mode in a bipartite network

b1degrange-ergmTerm

Degree range for the first mode in a bipartite network

b1factordistinct-ergmTerm

Number of distinct neighbor types for the first node

b1covrange-ergmTerm

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

asymmetric-ergmTerm

Asymmetric dyads

atleast-ergmTerm

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

b2sociality-ergmTerm

Evaluation on an induced subgraph

b1mindegree-ergmTerm

Minimum degree for the first mode in a bipartite network

StdNormal-ergmReference

Standard Normal reference

b2concurrent-ergmTerm

Concurrent node count for the second mode in a bipartite network

b2factor-ergmTerm

Factor attribute effect 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

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

b2degrees-ergmConstraint

Preserve the receiver degree for bipartite networks

b2factordistinct-ergmTerm

Number of distinct neighbor types for the second mode

UnifNonObserved-ergmProposal

blocks-ergmConstraint

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

b2star-ergmTerm

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

blockdiag-ergmConstraint

Block-diagonal structure constraint

Dyadwise shared partners for dyads in the second bipartition

b1starmix-ergmTerm

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

bd-ergmConstraint

Constrain maximum and minimum vertex degree

Ensures an Ergm Term and its Arguments Meet Appropriate Conditions

balance-ergmTerm

Balanced triads

b1star-ergmTerm

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

Locate and call an ERGM term initialization function.

absdiff-ergmTerm

Absolute difference in nodal attribute

b1degree-ergmTerm

Degree for the first mode in a bipartite network

b1nodematch-ergmTerm

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

b1degrees-ergmConstraint

Preserve the actor degree for bipartite networks

b2mindegree-ergmTerm

Minimum degree for the second mode in a bipartite network

as.network.numeric

Create a Simple Random network of a Given Size

b2nodematch-ergmTerm

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

b1sociality-ergmTerm

atmost-ergmTerm

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

as.rlebdm.ergm_conlist

Extract dyad-level ERGM constraint information into an rlebdm object

b2degrange-ergmTerm

Degree range for the second mode in a bipartite network

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

attrcov-ergmTerm

Edge covariate by attribute pairing

b2covrange-ergmTerm

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

b2degree-ergmTerm

Degree for the second mode in a bipartite network

Auxiliary function for fine-tuning ERGM fitting.

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

concurrent-ergmTerm

Concurrent node count

ctriple-ergmTerm

coincidence-ergmTerm

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

control.simulate.ergm

Auxiliary for Controlling ERGM Simulation

concurrentties-ergmTerm

Concurrent tie count

cyclicalties-ergmTerm

control.ergm.bridge

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

degcrossprod-ergmTerm

Degree Cross-Product

Auxiliary for Controlling ERGM Goodness-of-Fit Evaluation

Auxiliary for Controlling SAN

degree-ergmTerm

degcor-ergmTerm

Degree Correlation

cyclicalweights-ergmTerm

Cyclical weights

dyadcov-ergmTerm

Dyadic covariate

degrange-ergmTerm

edgecov-ergmTerm

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

degrees-ergmConstraint

Preserve the degree of each vertex of the given network

dyadnoise-ergmConstraint

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

density-ergmTerm

edges-ergmConstraint

Preserve the edge count of the given network

degreedist-ergmConstraint

Preserve the degree distribution of the given network

Directed dyadwise shared partners

Computes and Returns the Degree Distribution Information for a Given Network

.dyads-ergmConstraint

A meta-constraint indicating handling of arbitrary dyadic constraints

egocentric-ergmConstraint

Preserve values of dyads incident on vertices with given attribute

Number of edges in the network

degree1.5-ergmTerm

Degree to the 3/2 power

Functions that have been removed from this package

Global options and term options for the ergm package

ergm-deprecated

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

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

dyadnoise-ergmProposal

Sensible error and warning messages by ergm initializers

dyadnoiseTNT-ergmProposal

Internal ergm Objects

equalto-ergmTerm

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

Two versions of an E. Coli network dataset

enformulate.curved-deprecated

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

ergm.geodistdist

Calculate geodesic distance distribution for a network or edgelist

ergm.getnetwork

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

Parallel Processing in the ergm Package

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

Operations to map curved ergm() parameters onto canonical parameters

Compute the Sample Estimating Function Values of an ERGM.

Exponential-Family Random Graph Models

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

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

ergm.bridge.llr

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

ERGM Predictors and response for logistic regression calculation of MPLE

Metropolis-Hastings Proposal Methods for ERGM MCMC

Sample Space Constraints for Exponential-Family Random Graph Models

Find a maximizer to the psuedolikelihood function

ergm_Cstate_clear

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

MCMC Hints for Exponential-Family Random Graph Models

Reference Measures for Exponential-Family Random Graph Models

Terms used in Exponential Family Random Graph Models

Curved settings for geometric weights for the gw* terms

Keywords defined for Exponential-Family Random Graph Models

ergm_plot.mcmc.list

Plot MCMC list using lattice package graphics

ergm_MCMC_sample

Internal Function to Sample Networks and Network Statistics

Internal representation of an ergm network model

ergm_mk_std_op_namewrap

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

Initializes the parameters to bound degree during sampling

Internal Function to Perform Simulated Annealing

ergm_dyadgen_select

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

ergm_edgecov_args

A common pattern for obtaining an edge covariate

ergm_cutoff_message

Helper function for constructing gw* cutoff error messages

ergm_state_cache

A rudimentary cache for large objects

Directed edgewise shared partners

ergm_symmetrize

Return a symmetrized version of a binary network

Dynamic ERGM keyword registry

ergm_proposal_table

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

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

ergm_preprocess_response

Update the network and the response argument.

A Representation of ERGM state

Functions to initialize the ergm_proposal object

Goodreau's Faux Mesa High School as a network object

faux.desert.high

Faux desert High School as a network object

ergm_propagate_ext.encode

Extended states for submodels

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

faux.magnolia.high

Goodreau's Faux Magnolia High School as a network object

faux.dixon.high

Faux dixon High School as a network object

fixedas-ergmConstraint

Fix specific dyads

fixallbut-ergmConstraint

Preserve the dyad status in all but the given edges

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

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

greaterthan-ergmTerm

Number of dyads with values strictly greater than a threshold

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

Geometrically weighted edgewise shared partner distribution

gwidegree-ergmTerm

Geometrically weighted in-degree distribution

gwdegree-ergmTerm

Geometrically weighted degree distribution

Geometrically weighted dyadwise shared partner distribution

idegrange-ergmTerm

In-degree range

gwb2dsp-ergmTerm

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

gwb2degree-ergmTerm

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

gwb1degree-ergmTerm

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

gwb1dsp-ergmTerm

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

idegree1.5-ergmTerm

In-degree to the 3/2 power

hamming-ergmConstraint

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

isolatededges-ergmTerm

hamming-ergmTerm

Hamming distance

idegreedist-ergmConstraint

Preserve the indegree distribution

idegrees-ergmConstraint

Preserve indegree for directed networks

localtriangle-ergmTerm

Triangles within neighborhoods

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

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

nearsimmelian-ergmTerm

Near simmelian 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.

Geometrically weighted non-edgewise shared partner distribution

gwodegree-ergmTerm

Geometrically weighted out-degree distribution

is.dyad.independent

Testing for dyad-independence

isolates-ergmTerm

A logLik() method for ergm fits.

Calculate the null model likelihood

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

idegree-ergmTerm

mutual-ergmTerm

Synthetic network with 20 nodes and 28 edges

Kapferer's tailor shop data

nodeicovar-ergmTerm

Covariance of in-dyad values incident on each actor

nodeicovrange-ergmTerm

Range of covariate values for in-neighbors of a node

nodal_attributes-API

Helper functions for specifying nodal attribute levels

meandeg-ergmTerm

Mean vertex degree

m2star-ergmTerm

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

Testing for curved exponential family

nodecovrange-ergmTerm

Range of covariate values for neighbors of a node

nodefactor-ergmTerm

Factor attribute effect

intransitive-ergmTerm

Intransitive triads

nodeifactor-ergmTerm

Factor attribute effect for in-edges

nodefactordistinct-ergmTerm

Number of distinct neighbor types

mcmc.diagnostics

Conduct MCMC diagnostics on a model fit

Mixing matrix cells and margins

nodecov-ergmTerm

Main effect of a covariate

nodeicov-ergmTerm

Main effect of a covariate for in-edges

nodeifactordistinct-ergmTerm

Number of distinct in-neighbor types

opentriad-ergmTerm

nodal_attributes

Specifying nodal attributes and their levels

nodeocovrange-ergmTerm

Range of covariate values for out-neighbors of a node

nodeofactor-ergmTerm

Factor attribute effect for out-edges

odegreedist-ergmConstraint

Preserve the outdegree distribution

nodemix-ergmTerm

Nodal attribute mixing

nodematch-ergmTerm

Uniform homophily and differential homophily

nodeofactordistinct-ergmTerm

Number of distinct out-neighbor types

odegree-ergmTerm

nodecovar-ergmTerm

Covariance of undirected dyad values incident on each actor

receiver-ergmTerm

Receiver effect

RLE-Compressed Boolean Dyad Matrix

odegrange-ergmTerm

Out-degree range

observed-ergmConstraint

Preserve the observed dyads of the given network

predict.formula

ERGM-based tie probabilities

nodeocov-ergmTerm

Main effect of a covariate for out-edges

odegree1.5-ergmTerm

Out-degree to the 3/2 power

Names of the parameters associated with an object.

Generate networks with a given set of network statistics

search.ergmTerms

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

nodeocovar-ergmTerm

Covariance of out-dyad values incident on each actor

Directed non-edgewise shared partners

randomtoggle-ergmProposal

Propose a randomly selected dyad to toggle

A lack-of-fit test for ERGMs

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

nvattr.copy.network

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

smalldiff-ergmTerm

Number of ties between actors with similar attribute values

sender-ergmTerm

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

smallerthan-ergmTerm

Number of dyads with values strictly smaller than a threshold

simmelian-ergmTerm

Simmelian triads

odegrees-ergmConstraint

Preserve outdegree for directed networks

simmelianties-ergmTerm

Ties in simmelian triads

threetrail-ergmTerm

to_ergm_Cdouble.network

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

Stratify Proposed Toggles by Mixing Type on a Vertex Attribute

Sum of dyad values (optionally taken to a power)

sociality-ergmTerm

Undirected degree

Summarizing ERGM Model Fits

Statnet Control

triadic-ergmHint

Network with strong clustering (triad-closure) effects

summary.ergm_model

Evaluate network summary statistics from an initialized ergm model

transitiveties-ergmTerm

Transitive ties

transitive-ergmTerm

Transitive triads

tripercent-ergmTerm

Triangle percentage

ttriple-ergmTerm

Transitive triples

triangle-ergmTerm

transitiveweights-ergmTerm

Transitive weights

Weighted Median

triadcensus-ergmTerm

sparse-ergmHint

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

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.

simulate.formula

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

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

Draw from the distribution of an Exponential Family Random Graph Model

twopath-ergmTerm

Update the edges in a network based on a matrix

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

summary_formula

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

summary.formula

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

CondB2Degree-ergmProposal

MHp for b2degree constraints

Bernoulli-ergmReference

Bernoulli reference

Wrap binary terms for use in valued models

CondInDegree-ergmProposal

MHp for idegree constraints

CondB1Degree-ergmProposal

MHp for b1degree constraints

CondDegreeDist-ergmProposal

MHp for degreedist constraints

CondDegree-ergmProposal

MHp for degree constraints

BDStratTNT-ergmProposal

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

CondDegreeMix-ergmProposal

MHp for degree mix constraints

CondInDegreeDist-ergmProposal

MHp for idegreedist constraints