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fungible (version 1.91)

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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Version

Install

install.packages('fungible')

Monthly Downloads

4,024

Version

1.91

License

GPL (>= 2)

Maintainer

Niels G Waller

Last Published

October 7th, 2019

Functions in fungible (1.91)

FMPMonotonicityCheck

Utility function for checking FMP monotonicity

GenerateBoxData

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

Find OLS Regression Coefficients that Exhibit Enhancement

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

Smooth a Non PD Correlation Matrix

Asymptotic Distribution-Free Covariance Matrix of Covariances

Asymptotic Distribution-Free Covariance Matrix of Correlations

Generate eigenvalues for R matrices with underlying component structure

9 Variables from the Holzinger and Swineford (1939) Dataset

Conduct a Schmid-Leiman Iterated (SLi) Target Rotation

Estimate the coefficients of a filtered unconstrained polynomial IRT model

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

Automatic Factor Rotation from Random Configurations with Bootstrap Standard Errors

Improper R matrix reported by Lurie and Goldberg

Compute eap trait estimates for FMP and FUP models

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

Convert Degrees to Radians

Iterated Principal Axis Factor Analysis (fapa)

Improper R matrix reported by Rousseeuw and Molenberghs

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

Factor Pattern Matrix for Thurstone's 26 box attributes.

Calculate Reference Eigenvalues for the Empirical Kaiser Criterion

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

Sample Correlation Matrices from a Population Correlation Matrix

Generate Correlated Binary Data

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

Compute Omega hierarchical

Factor Extraction (faX) Routines

Unweighted least squares factor analysis

fungibleExtrema

Locate Extrema of Fungible Regression Weights

Create a random Phi matrix with maximum factor correlation

Convert Radians to Degrees

Generate Fungible Regression Weights

Conduct an Oblique Promax Rotation

Generate item response data for a filtered monotonic polynomial IRT model

Regularized Factor Analysis

Compute the Frobenius norm of a matrix

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

Six data sets that yield a Heywood case

Generate Correlation Matrices with User-Defined Eigenvalues

Standardize the Unrotated Factor Loadings

Sort a factor loadings matrix

Plot item response functions for polynomial IRT models.

Summary Method for an Object of Class Monte1

Summary Method for an Object of Class Monte

itemDescriptives

Compute basic descriptives for binary-item analysis

Generate Correlation Matrices with Specified Eigenvalues

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

Calculate Univariate Skewness for a Vector or Matrix

Generate Correlation Matrices with Specified Eigenvalues

Simulate Clustered Data with User-Defined Properties

Calculate Univariate Kurtosis for a Vector or Matrix

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

Smooth NPD to Nearest PSD or PD Matrix

Correlation between a Naturally and an Artificially Dichotomized Variable

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

Ledermann's inequality for factor solution identification

Summary Method for an Object of Class faMain

Compute the Cosine Between Two Vectors

Generate Fungible Logistic Regression Weights

Align the columns of two factor loading matrices

Utility fnc to compute the components for an empirical response function

Generate Random PSD Correlation Matrices

Generate Fungible Correlation Matrices

Plot an ERF using rest scores

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

Print Method for an Object of Class faMain

Plot Method for Class Monte

Compute Normal-Theory Covariances for Correlations

Rotate Points on the Surface on an N-Dimensional Ellipsoid

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

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

Generate Factor Analysis Models and Data Sets for Simulation Studies

Root Mean Squared Deviation of (A - B)

Generate a Cone of Regression Coefficient Vectors

Norm a Vector to Unit Length

Compute theta surrogates via normalized SVD scores

Compute ML Tetrachoric Correlations

Standard Errors and CIs for Standardized Regression Coefficients from Correlations

Standard Errors and CIs for Standardized Regression Coefficients

Improper correlation matrix reported by Bentler and Yuan

Bifactor Analysis via Direct Schmid-Leiman (DSL) Transformations

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

Improper R matrix reported by Joseph and Newman

R matrix for Thurstone's 26 hypothetical box attributes.

Improper R matrix reported by Knol and ten Berge

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

Estimate the coefficients of a filtered monotonic polynomial IRT model