Package: fungible 2.4.4

fungible: Psychometric Functions from the Waller Lab

Computes fungible coefficients and Monte Carlo data. Underlying theory for these functions is described in the following publications: Waller, N. (2008). Fungible Weights in Multiple Regression. Psychometrika, 73(4), 691-703, <doi:10.1007/s11336-008-9066-z>. Waller, N. & Jones, J. (2009). Locating the Extrema of Fungible Regression Weights. Psychometrika, 74(4), 589-602, <doi:10.1007/s11336-008-9087-7>. Waller, N. G. (2016). Fungible Correlation Matrices: A Method for Generating Nonsingular, Singular, and Improper Correlation Matrices for Monte Carlo Research. Multivariate Behavioral Research, 51(4), 554-568. Jones, J. A. & Waller, N. G. (2015). The normal-theory and asymptotic distribution-free (ADF) covariance matrix of standardized regression coefficients: theoretical extensions and finite sample behavior. Psychometrika, 80, 365-378, <doi:10.1007/s11336-013-9380-y>. Waller, N. G. (2018). Direct Schmid-Leiman transformations and rank-deficient loadings matrices. Psychometrika, 83, 858-870. <doi:10.1007/s11336-017-9599-0>.

Authors:Niels Waller [aut, cre], Justin Kracht [ctb], Jeff Jones [ctb], Casey Giordano [ctb], Hoang V. Nguyen [ctb]

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# Install 'fungible' in R:

install.packages('fungible', repos = c('https://nwaller.r-universe.dev', 'https://cloud.r-project.org'))

Datasets:

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
Boruch70 - Multi-Trait Multi-Method correlation matrix reported by Boruch, Larkin, Wolins, and MacKinney
Box20 - Length, width, and height measurements for Thurstone's 20 boxes
Box26 - R matrix for Thurstone's 26 hypothetical box attributes.
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
Malmi79 - Multi-Trait Multi-Method correlation matrix reported by Malmi, Underwood, and Carroll (1979).
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.

On CRAN:

This package does not link to any Github/Gitlab/R-forge repository. No issue tracker or development information is available.

98 exports 2.09 score 63 dependencies 8 dependents 136 scripts 2.7k downloads

Last updated 6 months agofrom:bd9f2af1b1. Checks:OK: 5 NOTE: 2. Indexed: yes.

Target	Result	Date
Doc / Vignettes	OK	Sep 06 2024
R-4.5-win	NOTE	Sep 06 2024
R-4.5-linux	NOTE	Sep 06 2024
R-4.4-win	OK	Sep 06 2024
R-4.4-mac	OK	Sep 06 2024
R-4.3-win	OK	Sep 06 2024
R-4.3-mac	OK	Sep 06 2024

Exports:adfCor adfCov alphaR BiFAD bigen cb cfi CompleteRcvx CompleteRdev CompleteRmap corDensity corSample corSmooth cosMat d2r eap eigGen enhancement erf faAlign faBounds faEKC faIB faLocalMin fals faMain faMAP faMB fapa fareg faScores faSort faStandardize faX FMP FMPMonotonicityCheck fsIndeterminacy fungible fungibleExtrema fungibleL fungibleR FUP gen4PMData genCorr GenerateBoxData genFMPData genPhi get_wb_mod irf itemDescriptives kurt Ledermann monte monte1 noisemaker normalCor normF obj_func Omega orderFactors promaxQ r2d rarc Ravgr Rbounds rcone rcor rellipsoid restScore RGen rGivens rMAP rmsd rmsea RnpdMAP rPCA SchmidLeiman seBeta seBetaCor seBetaFixed semify simFA skew SLi smoothAPA smoothBY smoothKB smoothLG svdNorm TaylorRussell tetcor tetcorQuasi tkl TR vcos vnorm VolElliptope wb

Dependencies:abind arm BH bit bit64 boot clarabel cli clue cluster coda codetools crayon CVXR DEoptim digest ECOSolveR foreach GA glue gmp GPArotation iterators lattice lavaan lifecycle lme4 MASS Matrix MatrixModels MBESS mcmc MCMCpack mi minqa mnormt mvtnorm nleqslv nlme nloptr numDeriv OpenMx osqp pbivnorm pbmcapply quadprog quantreg R6 Rcpp RcppArmadillo RcppEigen RcppParallel Rcsdp rlang Rmpfr rpf RSpectra scs sem semTools SparseM StanHeaders survival

Simulating Population Correlation Matrices with Model Error

Rendered fromsimulate-model-error.Rmdusingknitr::rmarkdownon Sep 06 2024.

Last update: 2024-01-24
Started: 2024-01-24

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

Package: fungible 2.4.4

fungible: Psychometric Functions from the Waller Lab

Simulating Population Correlation Matrices with Model Error

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