Psychometric Functions from the Waller Lab

Documentation for package ‘fungible’ version 2.4.4

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A B C D E F G H I J K L M N O P R S T V W

-- A --

ACL	Adjective Checklist Data.
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
AmzBoxes	Length, width, and height measurements for 98 Amazon shipping boxes

-- B --

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
bigen	Generate Correlated Binary Data
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.

-- C --

cb	Cudeck & Browne (1992) model error method
cfi	Calculate CFI for two correlation matrices
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
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.

-- D --

d2r	Convert Degrees to Radians

-- E --

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

-- F --

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
fals	Unweighted least squares factor analysis
faMain	Automatic Factor Rotation from Random Configurations with Bootstrap Standard Errors
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
fapa	Iterated Principal Axis Factor Analysis (fapa)
fareg	Regularized Factor Analysis
faScores	Factor Scores
faSort	Sort a factor loadings matrix
faStandardize	Standardize the Unrotated Factor Loadings
faX	Factor Extraction (faX) Routines
FMP	Estimate the coefficients of a filtered monotonic polynomial IRT model
FMPMonotonicityCheck	Utility function for checking FMP monotonicity
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
FUP	Estimate the coefficients of a filtered unconstrained polynomial IRT model

-- G --

gen4PMData	Generate item response data for 1, 2, 3, or 4-parameter IRT models
genCorr	Generate Correlation Matrices with User-Defined Eigenvalues
GenerateBoxData	Generate Thurstone's Box Data From length, width, and height box measurements
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

-- H --

HS9Var	9 Variables from the Holzinger and Swineford (1939) Dataset
HW	Six data sets that yield a Heywood case

-- I --

irf	Plot item response functions for polynomial IRT models.
itemDescriptives	Compute basic descriptives for binary-item analysis

-- J --

Jackson67

Multi-Trait Multi-Method correlation matrix reported by Jackson and Singer (1967)

-- K --

kurt	Calculate Univariate Kurtosis for a Vector or Matrix

-- L --

Ledermann

Ledermann's inequality for factor solution identification

-- M --

Malmi79	Multi-Trait Multi-Method correlation matrix reported by Malmi, Underwood, and Carroll (1979).
monte	Simulate Clustered Data with User-Defined Properties
monte1	Simulate Multivariate Non-normal Data by Vale & Maurelli (1983) Method

-- N --

noisemaker	Simulate a population correlation matrix with model error
normalCor	Compute Normal-Theory Covariances for Correlations
normF	Compute the Frobenius norm of a matrix

-- O --

obj_func	Objective function for optimizing RMSEA and CFI
Omega	Compute Omega hierarchical
orderFactors	Order factor-loadings matrix by the sum of squared factor loadings

-- P --

plot.monte	Plot Method for Class Monte
print.faMain	Print Method for an Object of Class faMain
print.faMB	Print Method for an Object of Class faMB
print.summary.monte	Summary Method for an Object of Class Monte
print.summary.monte1	Summary Method for an Object of Class Monte1
promaxQ	Conduct an Oblique Promax Rotation

-- R --

r2d	Convert Radians to Degrees
rarc	Rotate Points on the Surface on an N-Dimensional Ellipsoid
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).
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
RGen	Generate random R matrices with various user-defined properties via differential evolution (DE).
rGivens	Generate Correlation Matrices with Specified Eigenvalues
rMAP	Generate Correlation Matrices with Specified Eigenvalues
rmsd	Root Mean Squared Deviation of (A - B)
rmsea	Calculate RMSEA between two correlation matrices
RnpdMAP	Generate Random NPD R matrices from a user-supplied population R
rPCA	Generate a Correlation Matrix from a Truncated PCA Loadings Matrix.

-- S --

SchmidLeiman	Schmid-Leiman Orthogonalization to a (Rank-Deficient) Bifactor Structure
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
SLi	Conduct a Schmid-Leiman Iterated (SLi) Target Rotation
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.faMain	Summary Method for an Object of Class faMain
summary.faMB	Summary Method for an Object of Class faMB
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

-- T --

TaylorRussell	A generalized (multiple predictor) Taylor-Russell function.
tetcor	Compute ML Tetrachoric Correlations
tetcorQuasi	Correlation between a Naturally and an Artificially Dichotomized Variable
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.
tkl	Optimize TKL parameters to find a solution with target RMSEA and CFI values
TR	Estimate the parameters of the Taylor-Russell function.

-- V --

vcos	Compute the Cosine Between Two Vectors
vnorm	Norm a Vector to Unit Length
VolElliptope	Compute the volume of the elliptope of possible correlation matrices of a given dimension.

-- W --

wb	Wu & Browne model error method