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fungible (version 2.4.4)

Psychometric Functions from the Waller Lab

Description

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, . Waller, N. & Jones, J. (2009). Locating the Extrema of Fungible Regression Weights. Psychometrika, 74(4), 589-602, . 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, . Waller, N. G. (2018). Direct Schmid-Leiman transformations and rank-deficient loadings matrices. Psychometrika, 83, 858-870. .

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Install

install.packages('fungible')

Monthly Downloads

2,914

Version

2.4.4

License

GPL (>= 2)

Maintainer

Niels G Waller

Last Published

March 9th, 2024

Functions in fungible (2.4.4)

GenerateBoxData

Generate Thurstone's Box Data From length, width, and height box measurements

FMPMonotonicityCheck

Utility function for checking FMP monotonicity

Complete a Partially Specified Correlation Matrix by the Method of Alternating Projections

Complete a Partially Specified Correlation Matrix by the Method of Differential Evolution

Six data sets that yield a Heywood case

9 Variables from the Holzinger and Swineford (1939) Dataset

Estimate the coefficients of a filtered monotonic polynomial IRT model

Estimate the coefficients of a filtered unconstrained polynomial IRT model

R matrix for Thurstone's 26 hypothetical box attributes.

Complete a Partially Specified Correlation Matrix by Convex Optimization

Generate random R matrices with various user-defined properties via differential evolution (DE).

Generate random R matrices with user-defined bounds on the correlation coefficients via differential evolution (DE).

Compute Omega hierarchical

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

Conduct a Schmid-Leiman Iterated (SLi) Target Rotation

Schmid-Leiman Orthogonalization to a (Rank-Deficient) Bifactor Structure

Ledermann's inequality for factor solution identification

Generate a random R matrix with an average rij

Generate Random NPD R matrices from a user-supplied population R

Multi-Trait Multi-Method correlation matrix reported by Malmi, Underwood, and Carroll (1979).

Asymptotic Distribution-Free Covariance Matrix of Covariances

Generate random R matrices with a known coefficient alpha

Compute the volume of the elliptope of possible correlation matrices of a given dimension.

Factor Pattern Matrix for Thurstone's 26 box attributes.

Factor Pattern and Factor Correlations for Thurstone's 20 hypothetical box attributes.

Estimate the parameters of the Taylor-Russell function.

Generate Correlated Binary Data

Asymptotic Distribution-Free Covariance Matrix of Correlations

Multi-Trait Multi-Method correlation matrix reported by Thurstone and Thurstone (1941).

Smooth a Non PD Correlation Matrix

Generate eigenvalues for R matrices with underlying component structure

Convert Degrees to Radians

A generalized (multiple predictor) Taylor-Russell function.

Calculate CFI for two correlation matrices

Cudeck & Browne (1992) model error method

Compute eap trait estimates for FMP and FUP models

Compute the cosine(s) between either 2 matrices or 2 vectors.

Generate the marginal density of a correlation from a uniformly sampled R matrix.

Sample Correlation Matrices from a Population Correlation Matrix

Find OLS Regression Coefficients that Exhibit Enhancement

Align the columns of two factor loading matrices

Inter-Battery Factor Analysis by the Method of Maximum Likelihood

Automatic Factor Rotation from Random Configurations with Bootstrap Standard Errors

Bounds on the Correlation Between an External Variable and a Common Factor

Multiple Battery Factor Analysis by Maximum Likelihood Methods

Calculate Reference Eigenvalues for the Empirical Kaiser Criterion

Utility fnc to compute the components for an empirical response function

Investigate local minima in faMain objects

Velicer's minimum partial correlation method for determining the number of major components for a principal components analysis or a factor analysis

Sort a factor loadings matrix

Standardize the Unrotated Factor Loadings

Iterated Principal Axis Factor Analysis (fapa)

Regularized Factor Analysis

Factor Extraction (faX) Routines

fsIndeterminacy

Understanding Factor Score Indeterminacy with Finite Dimensional Vector Spaces

fungibleExtrema

Locate Extrema of Fungible Regression Weights

Unweighted least squares factor analysis

Generate Fungible Logistic Regression Weights

Generate Fungible Regression Weights

Simulate Clustered Data with User-Defined Properties

Find an `lm` model to use with the Wu & Browne (2015) model error method

Generate Correlation Matrices with User-Defined Eigenvalues

Generate item response data for a filtered monotonic polynomial IRT model

Create a random Phi matrix with maximum factor correlation

Plot item response functions for polynomial IRT models.

Calculate Univariate Kurtosis for a Vector or Matrix

itemDescriptives

Compute basic descriptives for binary-item analysis

Generate Fungible Correlation Matrices

Generate item response data for 1, 2, 3, or 4-parameter IRT models

Print Method for an Object of Class faMB

Order factor-loadings matrix by the sum of squared factor loadings

Plot Method for Class Monte

Print Method for an Object of Class faMain

Simulate a population correlation matrix with model error

Simulate Multivariate Non-normal Data by Vale & Maurelli (1983) Method

Objective function for optimizing RMSEA and CFI

Conduct an Oblique Promax Rotation

Compute Normal-Theory Covariances for Correlations

Compute the Frobenius norm of a matrix

Rotate Points on the Surface on an N-Dimensional Ellipsoid

Root Mean Squared Deviation of (A - B)

Generate Correlation Matrices with Specified Eigenvalues

Generate Random PSD Correlation Matrices

Plot an ERF using rest scores

Generate a Correlation Matrix from a Truncated PCA Loadings Matrix.

Generate Uniformly Spaced OLS Regression Coefficients that Yield a User-Supplied R-Squared Value

Generate a Cone of Regression Coefficient Vectors

Generate Correlation Matrices with Specified Eigenvalues

Convert Radians to Degrees

Smooth a Non PD Correlation Matrix using the Knol-Berger algorithm

Calculate RMSEA between two correlation matrices

Standard Errors and CIs for Standardized Regression Coefficients

Smooth an NPD R matrix to PD using the Bentler Yuan 2011 method

Calculate Univariate Skewness for a Vector or Matrix

Standard Errors and CIs for Standardized Regression Coefficients from Correlations

Covariance Matrix and Standard Errors for Standardized Regression Coefficients for Fixed Predictors

Smooth a NPD R matrix to PD using the Alternating Projection Algorithm

Generate Factor Analysis Models and Data Sets for Simulation Studies

Generate an sem model from a simFA model object

Summary Method for an Object of Class Monte1

Summary Method for an Object of Class faMain

Wu & Browne model error method

Smooth NPD to Nearest PSD or PD Matrix

Compute theta surrogates via normalized SVD scores

Norm a Vector to Unit Length

Summary Method for an Object of Class faMB

Summary Method for an Object of Class Monte

Optimize TKL parameters to find a solution with target RMSEA and CFI values

Compute the Cosine Between Two Vectors

Compute ML Tetrachoric Correlations

Correlation between a Naturally and an Artificially Dichotomized Variable

Length, width, and height measurements for 98 Amazon shipping boxes

Bifactor Analysis via Direct Schmid-Leiman (DSL) Transformations

Improper R matrix reported by Knol and ten Berge

Adjective Checklist Data.

Improper R matrix reported by Joseph and Newman

Improper R matrix reported by Rousseeuw and Molenberghs

Length, width, and height measurements for Thurstone's 20 boxes

Improper correlation matrix reported by Bentler and Yuan

Multi-Trait Multi-Method correlation matrix reported by Boruch, Larkin, Wolins, and MacKinney (1970)

Improper R matrix reported by Lurie and Goldberg