Minimum distance estimators of population size from snowball samples using conditional estimation and scaling of exponential random graph models

2017 ◽  
Vol 116 ◽  
pp. 32-48 ◽  
Author(s):  
David A. Rolls ◽  
Garry Robins
Keyword(s):  
Population Size ◽  
Random Graph ◽  
Minimum Distance ◽  
Exponential Random Graph Models ◽  
Graph Models ◽  
Random Graph Models ◽  
Conditional Estimation ◽  
Exponential Random Graph ◽  
Minimum Distance Estimators

Conditional estimation of exponential random graph models from snowball sampling designs

2013 ◽  
Vol 57 (6) ◽  
pp. 284-296 ◽  
Author(s):  
Philippa E. Pattison ◽  
Garry L. Robins ◽  
Tom A.B. Snijders ◽  
Peng Wang
Keyword(s):  
Random Graph ◽  
Snowball Sampling ◽  
Exponential Random Graph Models ◽  
Graph Models ◽  
Random Graph Models ◽  
Conditional Estimation ◽  
Exponential Random Graph

scholarly journals Exponential random graph models for little networks

2021 ◽  
Vol 64 ◽  
pp. 225-238
Author(s):  
George G. Vega Yon ◽  
Andrew Slaughter ◽  
Kayla de la Haye
Keyword(s):  
Random Graph ◽  
Exponential Random Graph Models ◽  
Graph Models ◽  
Random Graph Models ◽  
Exponential Random Graph

scholarly journals The performance of permutations and exponential random graph models when analyzing animal networks

2020 ◽  
Vol 31 (5) ◽  
pp. 1266-1276 ◽  
Author(s):  
Julian C Evans ◽  
David N Fisher ◽  
Matthew J Silk
Keyword(s):  
Social Network ◽  
Random Graph ◽  
False Positive ◽  
False Negative ◽  
Error Rates ◽  
Network Data ◽  
Exponential Random Graph Models ◽  
Graph Models ◽  
Random Graph Models ◽  
Exponential Random Graph

Abstract Social network analysis is a suite of approaches for exploring relational data. Two approaches commonly used to analyze animal social network data are permutation-based tests of significance and exponential random graph models. However, the performance of these approaches when analyzing different types of network data has not been simultaneously evaluated. Here we test both approaches to determine their performance when analyzing a range of biologically realistic simulated animal social networks. We examined the false positive and false negative error rate of an effect of a two-level explanatory variable (e.g., sex) on the number and combined strength of an individual’s network connections. We measured error rates for two types of simulated data collection methods in a range of network structures, and with/without a confounding effect and missing observations. Both methods performed consistently well in networks of dyadic interactions, and worse on networks constructed using observations of individuals in groups. Exponential random graph models had a marginally lower rate of false positives than permutations in most cases. Phenotypic assortativity had a large influence on the false positive rate, and a smaller effect on the false negative rate for both methods in all network types. Aspects of within- and between-group network structure influenced error rates, but not to the same extent. In "grouping event-based" networks, increased sampling effort marginally decreased rates of false negatives, but increased rates of false positives for both analysis methods. These results provide guidelines for biologists analyzing and interpreting their own network data using these methods.

scholarly journals Bayesian exponential random graph models with nodal random effects

2016 ◽  
Vol 46 ◽  
pp. 11-28 ◽  
Author(s):  
S. Thiemichen ◽  
N. Friel ◽  
A. Caimo ◽  
G. Kauermann
Keyword(s):  
Random Effects ◽  
Random Graph ◽  
Exponential Random Graph Models ◽  
Graph Models ◽  
Random Graph Models ◽  
Exponential Random Graph

scholarly journals Characterising group-level brain connectivity: A framework using Bayesian exponential random graph models

NeuroImage ◽  
2021 ◽  
Vol 225 ◽  
pp. 117480
Author(s):  
B.C.L. Lehmann ◽  
R.N. Henson ◽  
L. Geerligs ◽  
Cam-CAN ◽  
S.R. White
Keyword(s):  
Random Graph ◽  
Brain Connectivity ◽  
Group Level ◽  
Exponential Random Graph Models ◽  
Graph Models ◽  
Random Graph Models ◽  
Exponential Random Graph
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