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| adfCor | Asymptotic Distribution-Free Covariance Matrix of Correlations |
| adfCov | Asymptotic Distribution-Free Covariance Matrix of Covariances |
| 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 |
| 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. |
| 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 |
| faEKC | Calculate Reference Eigenvalues for the Empirical Kaiser Criterion |
| faIB | Inter-Battery Factor Analysis by the Method of Maximum Likelihood |
| 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 |
| 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 |
| 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 |
| HS9Var | 9 Variables from the Holzinger and Swineford (1939) Dataset |
| HW | Six data sets that yield a Heywood case |
| irf | Plot item response functions for polynomial IRT models. |
| itemDescriptives | Compute basic descriptives for binary-item analysis |
| Jackson67 | Multi-Trait Multi-Method correlation matrix reported by Jackson and Singer (1967) |
| kurt | Calculate Univariate Kurtosis for a Vector or Matrix |
| Ledermann | Ledermann's inequality for factor solution identification |
| 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 |
| normalCor | Compute Normal-Theory Covariances for Correlations |
| normF | Compute the Frobenius norm of a matrix |
| Omega | Compute Omega hierarchical |
| orderFactors | Order factor-loadings matrix by the sum of squared factor loadings |
| 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 |
| r2d | Convert Radians to Degrees |
| 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 |
| rGivens | Generate Correlation Matrices with Specified Eigenvalues |
| rMAP | Generate Correlation Matrices with Specified Eigenvalues |
| rmsd | Root Mean Squared Deviation of (A - B) |
| RnpdMAP | Generate Random NPD R matrices from a user-supplied population R |
| 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 |
| 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 |
| 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. |
| vcos | Compute the Cosine Between Two Vectors |
| vnorm | Norm a Vector to Unit Length |