ACL                     Adjective Checklist Data.
AmzBoxes                Length, width, and height measurements for 98
                        Amazon shipping boxes
BadRBY                  Improper correlation matrix reported by Bentler
                        and Yuan
BadRJN                  Improper R matrix reported by Joseph and Newman
BadRKtB                 Improper R matrix reported by Knol and ten
                        Berge
BadRLG                  Improper R matrix reported by Lurie and
                        Goldberg
BadRRM                  Improper R matrix reported by Rousseeuw and
                        Molenberghs
BiFAD                   Bifactor Analysis via Direct Schmid-Leiman
                        (DSL) Transformations
Boruch70                Multi-Trait Multi-Method correlation matrix
                        reported by Boruch, Larkin, Wolins, and
                        MacKinney (1970)
Box20                   Length, width, and height measurements for
                        Thurstone's 20 boxes
Box26                   R matrix for Thurstone's 26 hypothetical box
                        attributes.
CompleteRcvx            Complete a Partially Specified Correlation
                        Matrix by Convex Optimization
CompleteRdev            Complete a Partially Specified Correlation
                        Matrix by the Method of Differential Evolution
CompleteRmap            Complete a Partially Specified Correlation
                        Matrix by the Method of Alternating Projections
FMP                     Estimate the coefficients of a filtered
                        monotonic polynomial IRT model
FMPMonotonicityCheck    Utility function for checking FMP monotonicity
FUP                     Estimate the coefficients of a filtered
                        unconstrained polynomial IRT model
GenerateBoxData         Generate Thurstone's Box Data From length,
                        width, and height box measurements
HS9Var                  9 Variables from the Holzinger and Swineford
                        (1939) Dataset
HW                      Six data sets that yield a Heywood case
Jackson67               Multi-Trait Multi-Method correlation matrix
                        reported by Jackson and Singer (1967)
Ledermann               Ledermann's inequality for factor solution
                        identification
Malmi79                 Multi-Trait Multi-Method correlation matrix
                        reported by Malmi, Underwood, and Carroll
                        (1979).
Omega                   Compute Omega hierarchical
RGen                    Generate random R matrices with various
                        user-defined properties via differential
                        evolution (DE).
Ravgr                   Generate a random R matrix with an average rij
Rbounds                 Generate random R matrices with user-defined
                        bounds on the correlation coefficients via
                        differential evolution (DE).
Rmad                    Generate a random R matrix with given MAD from
                        a user-defined, population R
RnpdMAP                 Generate Random NPD R matrices from a
                        user-supplied population R
Rplus                   Generate a random R matrix with all rij > 0
SLi                     Conduct a Schmid-Leiman Iterated (SLi) Target
                        Rotation
SchmidLeiman            Schmid-Leiman Orthogonalization to a
                        (Rank-Deficient) Bifactor Structure
TR                      Estimate the parameters of the Taylor-Russell
                        function.
TaylorRussell           A generalized (multiple predictor)
                        Taylor-Russell function.
Thurstone41             Multi-Trait Multi-Method correlation matrix
                        reported by Thurstone and Thurstone (1941).
ThurstoneBox20          Factor Pattern and Factor Correlations for
                        Thurstone's 20 hypothetical box attributes.
ThurstoneBox26          Factor Pattern Matrix for Thurstone's 26 box
                        attributes.
VolElliptope            Compute the volume of the elliptope of possible
                        correlation matrices of a given dimension.
adfCor                  Asymptotic Distribution-Free Covariance Matrix
                        of Correlations
adfCov                  Asymptotic Distribution-Free Covariance Matrix
                        of Covariances
alphaR                  Generate random R matrices with a known
                        coefficient alpha
bigen                   Generate Correlated Binary Data
cb                      Cudeck & Browne (1992) model error method
cfi                     Calculate CFI for two correlation matrices
corDensity              Generate the marginal density of a correlation
                        from a uniformly sampled R matrix.
corSample               Sample Correlation Matrices from a Population
                        Correlation Matrix
corSmooth               Smooth a Non PD Correlation Matrix
cosMat                  Compute the cosine(s) between either 2 matrices
                        or 2 vectors.
d2r                     Convert Degrees to Radians
eap                     Compute eap trait estimates for FMP and FUP
                        models
eigGen                  Generate eigenvalues for R matrices with
                        underlying component structure
enhancement             Find OLS Regression Coefficients that Exhibit
                        Enhancement
erf                     Utility fnc to compute the components for an
                        empirical response function
faAlign                 Align the columns of two factor loading
                        matrices
faBounds                Bounds on the Correlation Between an External
                        Variable and a Common Factor
faEKC                   Calculate Reference Eigenvalues for the
                        Empirical Kaiser Criterion
faIB                    Inter-Battery Factor Analysis by the Method of
                        Maximum Likelihood
faLocalMin              Investigate local minima in faMain objects
faMAP                   Velicer's minimum partial correlation method
                        for determining the number of major components
                        for a principal components analysis or a factor
                        analysis
faMB                    Multiple Battery Factor Analysis by Maximum
                        Likelihood Methods
faMain                  Automatic Factor Rotation from Random
                        Configurations with Bootstrap Standard Errors
faScores                Factor Scores
faSort                  Sort a factor loadings matrix
faStandardize           Standardize the Unrotated Factor Loadings
faX                     Factor Extraction (faX) Routines
fals                    Unweighted least squares factor analysis
fapa                    Iterated Principal Axis Factor Analysis (fapa)
fareg                   Regularized Factor Analysis
fsIndeterminacy         Understanding Factor Score Indeterminacy with
                        Finite Dimensional Vector Spaces
fungible                Generate Fungible Regression Weights
fungibleExtrema         Locate Extrema of Fungible Regression Weights
fungibleL               Generate Fungible Logistic Regression Weights
fungibleR               Generate Fungible Correlation Matrices
gen4PMData              Generate item response data for 1, 2, 3, or
                        4-parameter IRT models
genCorr                 Generate Correlation Matrices with User-Defined
                        Eigenvalues
genFMPData              Generate item response data for a filtered
                        monotonic polynomial IRT model
genPhi                  Create a random Phi matrix with maximum factor
                        correlation
get_wb_mod              Find an 'lm' model to use with the Wu & Browne
                        (2015) model error method
irf                     Plot item response functions for polynomial IRT
                        models.
itemDescriptives        Compute basic descriptives for binary-item
                        analysis
kurt                    Calculate Univariate Kurtosis for a Vector or
                        Matrix
monte                   Simulate Clustered Data with User-Defined
                        Properties
monte1                  Simulate Multivariate Non-normal Data by Vale &
                        Maurelli (1983) Method
noisemaker              Simulate a population correlation matrix with
                        model error
normF                   Compute the Frobenius norm of a matrix
normalCor               Compute Normal-Theory Covariances for
                        Correlations
obj_func                Objective function for optimizing RMSEA and CFI
orderFactors            Order factor-loadings matrix by the sum of
                        squared factor loadings
plot.monte              Plot Method for Class Monte
print.faMB              Print Method for an Object of Class faMB
print.faMain            Print Method for an Object of Class faMain
promaxQ                 Conduct an Oblique Promax Rotation
r2d                     Convert Radians to Degrees
rGivens                 Generate Correlation Matrices with Specified
                        Eigenvalues
rMAP                    Generate Correlation Matrices with Specified
                        Eigenvalues
rPCA                    Generate a Correlation Matrix from a Truncated
                        PCA Loadings Matrix.
rarc                    Rotate Points on the Surface on an
                        N-Dimensional Ellipsoid
rcone                   Generate a Cone of Regression Coefficient
                        Vectors
rcor                    Generate Random PSD Correlation Matrices
rellipsoid              Generate Uniformly Spaced OLS Regression
                        Coefficients that Yield a User-Supplied
                        R-Squared Value
restScore               Plot an ERF using rest scores
rmsd                    Root Mean Squared Deviation of (A - B)
rmsea                   Calculate RMSEA between two correlation
                        matrices
seBeta                  Standard Errors and CIs for Standardized
                        Regression Coefficients
seBetaCor               Standard Errors and CIs for Standardized
                        Regression Coefficients from Correlations
seBetaFixed             Covariance Matrix and Standard Errors for
                        Standardized Regression Coefficients for Fixed
                        Predictors
semify                  Generate an sem model from a simFA model object
simFA                   Generate Factor Analysis Models and Data Sets
                        for Simulation Studies
skew                    Calculate Univariate Skewness for a Vector or
                        Matrix
smoothAPA               Smooth a NPD R matrix to PD using the
                        Alternating Projection Algorithm
smoothBY                Smooth an NPD R matrix to PD using the Bentler
                        Yuan 2011 method
smoothKB                Smooth a Non PD Correlation Matrix using the
                        Knol-Berger algorithm
smoothLG                Smooth NPD to Nearest PSD or PD Matrix
summary.faMB            Summary Method for an Object of Class faMB
summary.faMain          Summary Method for an Object of Class faMain
summary.monte           Summary Method for an Object of Class Monte
summary.monte1          Summary Method for an Object of Class Monte1
svdNorm                 Compute theta surrogates via normalized SVD
                        scores
tetcor                  Compute ML Tetrachoric Correlations
tetcorQuasi             Correlation between a Naturally and an
                        Artificially Dichotomized Variable
tkl                     Optimize TKL parameters to find a solution with
                        target RMSEA and CFI values
vcos                    Compute the Cosine Between Two Vectors
vnorm                   Norm a Vector to Unit Length
wb                      Wu & Browne model error method
