Estimates the number of dimensions of a given dataset or correlation matrix
using the graphical lasso (EBICglasso.qgraph) or the
Triangulated Maximally Filtered Graph (TMFG)
network estimation methods.
EGA(
data,
n = NULL,
uni.method = c("expand", "LE"),
corr = c("cor_auto", "pearson", "spearman"),
model = c("glasso", "TMFG"),
model.args = list(),
algorithm = c("walktrap", "louvain"),
algorithm.args = list(),
plot.EGA = TRUE,
plot.type = c("GGally", "qgraph"),
plot.args = list(),
verbose = TRUE,
...
)Returns a list containing:
A symmetric network estimated using either the
EBICglasso.qgraph or TMFG
A vector representing the community (dimension) membership
of each node in the network. NA values mean that the node
was disconnected from the network
A scalar of how many total dimensions were identified in the network
The zero-order correlation matrix
Matrix or data frame.
Variables (down columns) or correlation matrix.
If the input is a correlation matrix,
then argument n (number of cases) is required
Integer.
Sample size if data provided is a correlation matrix
Character.
What unidimensionality method should be used?
Defaults to "LE".
Current options are:
expand
Expands the correlation matrix with four variables correlated .50.
If number of dimension returns 2 or less in check, then the data
are unidimensional; otherwise, regular EGA with no matrix
expansion is used. This is the method used in the Golino et al. (2020)
Psychological Methods simulation.
LE
Applies the leading eigenvalue algorithm (cluster_leading_eigen)
on the empirical correlation matrix. If the number of dimensions is 1,
then the leading eigenvalue solution is used; otherwise, regular EGA
is used. This is the final method used in the Christensen, Garrido,
and Golino (2021) simulation.
Type of correlation matrix to compute. The default uses cor_auto.
Current options are:
cor_auto
Computes the correlation matrix using the cor_auto function from
qgraph.
pearson
Computes Pearson's correlation coefficient using the pairwise complete observations via
the cor function.
spearman
Computes Spearman's correlation coefficient using the pairwise complete observations via
the cor function.
Character.
A string indicating the method to use.
Defaults to "glasso".
Current options are:
glasso
Estimates the Gaussian graphical model using graphical LASSO with
extended Bayesian information criterion to select optimal regularization parameter
TMFG
Estimates a Triangulated Maximally Filtered Graph
List.
A list of additional arguments for EBICglasso.qgraph
or TMFG
A string indicating the algorithm to use or a function from igraph
Defaults to "walktrap".
Current options are:
walktrap
Computes the Walktrap algorithm using cluster_walktrap
louvain
Computes the Louvain algorithm using cluster_louvain
List.
A list of additional arguments for cluster_walktrap, cluster_louvain,
or some other community detection algorithm function (see examples)
Boolean.
If TRUE, returns a plot of the network and its estimated dimensions.
Defaults to TRUE
Character.
Plot system to use.
Current options are qgraph and GGally.
Defaults to "GGally"
List.
A list of additional arguments for the network plot.
For plot.type = "qgraph":
vsize
Size of the nodes. Defaults to 6.
For plot.type = "GGally" (see ggnet2 for
full list of arguments):
vsize
Size of the nodes. Defaults to 6.
label.size
Size of the labels. Defaults to 5.
alpha
The level of transparency of the nodes, which might be a single value or a vector of values. Defaults to 0.7.
edge.alpha
The level of transparency of the edges, which might be a single value or a vector of values. Defaults to 0.4.
legend.names
A vector with names for each dimension
color.palette
The color palette for the nodes. For custom colors,
enter HEX codes for each dimension in a vector.
See color_palette_EGA for
more details and examples
Boolean.
Should network estimation parameters be printed?
Defaults to TRUE.
Set to FALSE for no print out
Additional arguments.
Used for deprecated arguments from previous versions of EGA
Hudson Golino <hfg9s at virginia.edu>, Alexander P. Christensen <alexpaulchristensen at gmail.com>, Maria Dolores Nieto <acinodam at gmail.com> and Luis E. Garrido <garrido.luiseduardo at gmail.com>
Two community detection algorithms, Walktrap (Pons & Latapy, 2006) and
Louvain (Blondel et al., 2008), are pre-programmed because of their
superior performance in simulation studies on psychological
data generated from factor models (Christensen & Golino; 2020; Golino et al., 2020).
Notably, any community detection algorithm from the igraph
can be used to estimate the number of communities (see examples).
# Louvain algorithm
Blondel, V. D., Guillaume, J.-L., Lambiotte, R., & Lefebvre, E. (2008).
Fast unfolding of communities in large networks.
Journal of Statistical Mechanics: Theory and Experiment, 2008, P10008.
# Compared all igraph community detections algorithms, introduced Louvain algorithm, simulation with continuous and polytomous data
# Also implements the Leading Eigenvalue unidimensional method
Christensen, A. P., Garrido, L. E., & Golino, H. (2021).
Comparing community detection algorithms in psychological data: A Monte Carlo simulation.
PsyArXiv.
# Original simulation and implementation of EGA
Golino, H. F., & Epskamp, S. (2017).
Exploratory graph analysis: A new approach for estimating the number of dimensions in psychological research.
PLoS ONE, 12, e0174035.
Golino, H. F., & Demetriou, A. (2017). Estimating the dimensionality of intelligence like data using Exploratory Graph Analysis. Intelligence, 62, 54-70.
# Current implementation of EGA, introduced unidimensional checks, continuous and dichotomous data
Golino, H., Shi, D., Christensen, A. P., Garrido, L. E., Nieto, M. D., Sadana, R., & Thiyagarajan, J. A. (2020).
Investigating the performance of Exploratory Graph Analysis and traditional techniques to identify the number of latent factors: A simulation and tutorial.
Psychological Methods, 25, 292-320.
# Walktrap algorithm
Pons, P., & Latapy, M. (2006).
Computing communities in large networks using random walks.
Journal of Graph Algorithms and Applications, 10, 191-218.
bootEGA to investigate the stability of EGA's estimation via bootstrap
and CFA to verify the fit of the structure suggested by EGA using confirmatory factor analysis.
# Estimate EGA
## plot.type = "qqraph" used for CRAN checks
## plot.type = "GGally" is the default
ega.wmt <- EGA(data = wmt2[,7:24], plot.type = "qgraph")
# Summary statistics
summary(ega.wmt)
# Estimate EGAtmfg
ega.wmt <- EGA(data = wmt2[,7:24], model = "TMFG", plot.type = "qgraph")
# Estimate EGA with Louvain algorithm
ega.wmt <- EGA(data = wmt2[,7:24], algorithm = "louvain", plot.type = "qgraph")
# Estimate EGA with Spinglass algorithm
ega.wmt <- EGA(data = wmt2[,7:24],
algorithm = igraph::cluster_spinglass, plot.type = "qgraph")
# Estimate EGA
ega.intel <- EGA(data = intelligenceBattery[,8:66], model = "glasso", plot.EGA = FALSE)
# Summary statistics
summary(ega.intel)
# Fast for CRAN checks
# Pearson's correlation matrix
wmt <- cor(wmt2[,7:24])
# Estimate EGA
ega.wmt <- EGA(data = wmt, n = nrow(wmt2), model = "glasso", plot.EGA = FALSE)
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