# Fast and Flexible Implementations of Exploratory Factor Analysis Tools

## Documentation for package ‘EFAtools’ version 0.7.1

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

.average_matrices | Average a list of matrices elementwise
.calc_cis | Confidence intervals around mean
.change_class | Covert a '"LOADINGS"' table to matrix or a matrix to '"LOADINGS"'
.compute_vars | Compute explained variances from loadings
.consensus_loss | Mean squared discrepancy to a consensus target
.consensus_target_procrustes_single | Internal single-start consensus engine
.extract_list_object | Extract a list object by its name
.factor_corres | Compute number of non-matching indicator-to-factor correspondences
.hyperplane_count | Count near-zero loadings
.nest_sym | Get reference values for nest.
.numformat | Format numbers for print method
.oblique_procrustes | Oblique Procrustes target rotation using a k x k inner objective
.orthogonal_procrustes | Closed-form orthogonal Procrustes rotation
.paf_iter | Perform the iterative PAF procedure
.parallel_sim | Parallel analysis on simulated data.
.stat_over_list | Calculate statistics for a list of matrices
.tucker_congruence | Tucker congruence between factors
BARTLETT | Bartlett's test of sphericity
CD | Comparison Data
COMPARE | Compare two vectors or matrices (communalities or loadings)
CONSENSUS_PROCRUSTES | Consensus Procrustes alignment across multiple loading matrices
DOSPERT | DOSPERT
DOSPERT_raw | DOSPERT_raw
EFA | Exploratory factor analysis (EFA)
EFA_AVERAGE | Model averaging across different EFA methods and types
EFA_POOLED | Exploratory factor analysis on multiple data imputations
EKC | Empirical Kaiser Criterion
FACTOR_SCORES | Estimate factor scores for an EFA model
format.EFA | Print EFA object
format.EFA_POOLED | Print EFA object
format.LOADINGS | Print LOADINGS object
GRiPS_raw | GRiPS_raw
HULL | Hull method for determining the number of factors to retain
IDS2_R | Intelligence subtests from the Intelligence and Development Scales-2
KGC | Kaiser-Guttman Criterion
KMO | Kaiser-Meyer-Olkin criterion
MAP | Velicer's Minimum Average Partial (MAP) Criterion
NEST | Next eigenvalue sufficiency test (NEST)
N_FACTORS | Various Factor Retention Criteria
OMEGA | McDonald's omega
PARALLEL | Parallel analysis
plot.CD | Plot CD object
plot.EFA_AVERAGE | Plot EFA_AVERAGE object
plot.EKC | Plot EKC object
plot.HULL | Plot HULL object
plot.KGC | Plot KGC object
plot.PARALLEL | Plot PARALLEL object
plot.SCREE | Plot SCREE object
population_models | population_models
print.BARTLETT | Print BARTLETT object
print.CD | Print function for CD objects
print.COMPARE | Print COMPARE object
print.EFA | Print EFA object
print.EFA_AVERAGE | Print EFA_AVERAGE object
print.EFA_POOLED | Print EFA object
print.EKC | Print function for EKC objects
print.HULL | Print function for HULL objects
print.KGC | Print function for KGC objects
print.KMO | Print KMO object
print.LOADINGS | Print LOADINGS object
print.MAP | Print function for MAP objects
print.NEST | Print function for NEST objects
print.N_FACTORS | Print function for N_FACTORS objects
print.OMEGA | Print OMEGA object
print.PARALLEL | Print function for PARALLEL objects
print.SCREE | Print function for SCREE objects
print.SL | Print SL object
print.SLLOADINGS | Print SLLOADINGS object
print.SMT | Print SMT object
PROCRUSTES | Rotate a loading matrix to a target using Procrustes alignment
residuals.EFA | Residuals function for EFA objects
RiskDimensions | RiskDimensions
SCREE | Scree Plot
SL | Schmid-Leiman Transformation
SMT | Sequential Chi Square Model Tests, RMSEA lower bound, and AIC
SPSS_23 | Various outputs from SPSS (version 23) FACTOR
SPSS_27 | Various outputs from SPSS (version 27) FACTOR
test_models | Four test models used in Grieder and Steiner (2020)
UPPS_raw | UPPS_raw
WJIV_ages_14_19 | Woodcock Johnson IV: ages 14 to 19
WJIV_ages_20_39 | Woodcock Johnson IV: ages 20 to 39
WJIV_ages_3_5 | Woodcock Johnson IV: ages 3 to 5
WJIV_ages_40_90 | Woodcock Johnson IV: ages 40 to 90 plus
WJIV_ages_6_8 | Woodcock Johnson IV: ages 6 to 8
WJIV_ages_9_13 | Woodcock Johnson IV: ages 9 to 13