AUC Decision Theory measures of specificity, sensitivity, and d prime Bechtoldt Seven data sets showing a bifactor solution. Dwyer 8 cognitive variables used by Dwyer for an example. Garcia Data from the sexism (protest) study of Garcia, Schmitt, Branscome, and Ellemers (2010) Gleser Example data from Gleser, Cronbach and Rajaratnam (1965) to show basic principles of generalizability theory. Gorsuch Example data set from Gorsuch (1997) for an example factor extension. Harman Five data sets from Harman (1967). 9 cognitive variables from Holzinger and 8 emotional variables from Burt ICC Intraclass Correlations (ICC1, ICC2, ICC3 from Shrout and Fleiss) ICLUST.cluster Function to form hierarchical cluster analysis of items ICLUST.graph create control code for ICLUST graphical output ICLUST.rgraph Draw an ICLUST graph using the Rgraphviz package ICLUST.sort Sort items by absolute size of cluster loadings KMO Find the Kaiser, Meyer, Olkin Measure of Sampling Adequacy Pinv Compute the Moore-Penrose Pseudo Inverse of a matrix Promax Perform Procustes,bifactor, promax or targeted rotations and return the inter factor angles. RMSEA Root Mean Squared Error of Approximation from chisq, df, and n RV Three measures of the correlations between sets of variables SD Find the Standard deviation for a vector, matrix, or data.frame - do not return error if there are no cases Schmid 12 variables created by Schmid and Leiman to show the Schmid-Leiman Transformation Tal_Or Data set testing causal direction in presumed media influence Tucker 9 Cognitive variables discussed by Tucker and Lewis (1973) VSS Apply the Very Simple Structure, MAP, and other criteria to determine the appropriate number of factors. VSS.parallel Compare real and random VSS solutions VSS.plot Plot VSS fits VSS.scree Plot the successive eigen values for a scree test Yule From a two by two table, find the Yule coefficients of association, convert to phi, or tetrachoric, recreate table the table to create the Yule coefficient. alpha Find two estimates of reliability: Cronbach's alpha and Guttman's Lambda 6. anova.psych Model comparison for regression, mediation, cluster and factor analysis bassAckward The Bass-Ackward factoring algorithm discussed by Goldberg bestScales A bootstrap aggregation function for choosing most predictive unit weighted items bfi 25 Personality items representing 5 factors bi.bars Draw pairs of bargraphs based on two groups bigCor Find large correlation matrices by stitching together smaller ones found more rapidly biplot.psych Draw biplots of factor or component scores by factor or component loadings block.random Create a block randomized structure for n independent variables bock Bock and Liberman (1970) data set of 1000 observations of the LSAT cattell 12 cognitive variables from Cattell (1963) circ.tests Apply four tests of circumplex versus simple structure cluster.fit cluster Fit: fit of the cluster model to a correlation matrix cluster.loadings Find item by cluster correlations, corrected for overlap and reliability cluster.plot Plot factor/cluster loadings and assign items to clusters by their highest loading. cluster2keys Convert a cluster vector (from e.g., kmeans) to a keys matrix suitable for scoring item clusters. cohen.d Find Cohen d and confidence intervals cohen.kappa Find Cohen's kappa and weighted kappa coefficients for correlation of two raters comorbidity Convert base rates of two diagnoses and their comorbidity into phi, Yule, and tetrachorics congruence Matrix and profile congruences and distances cor.smooth Smooth a non-positive definite correlation matrix to make it positive definite cor.wt The sample size weighted correlation may be used in correlating aggregated data cor2dist Convert correlations to distances (necessary to do multidimensional scaling of correlation data) corCi Bootstrapped and normal confidence intervals for raw and composite correlations corFiml Find a Full Information Maximum Likelihood (FIML) correlation or covariance matrix from a data matrix with missing data corPlot Create an image plot for a correlation or factor matrix corTest Find the correlations, sample sizes, and probability values between elements of a matrix or data.frame. correct.cor Find dis-attenuated correlations given correlations and reliabilities cortest Chi square tests of whether a single matrix is an identity matrix, or a pair of matrices are equal. cortest.bartlett Bartlett's test that a correlation matrix is an identity matrix cosinor Functions for analysis of circadian or diurnal data cta Simulate the C(ues) T(endency) A(ction) model of motivation densityBy Create a 'violin plot' or density plot of the distribution of a set of variables describe Basic descriptive statistics useful for psychometrics describeBy Basic summary statistics by group diagram Helper functions for drawing path model diagrams draw.tetra Draw a correlation ellipse and two normal curves to demonstrate tetrachoric correlation dummy.code Create dummy coded variables eigen.loadings Convert eigen vectors and eigen values to the more normal (for psychologists) component loadings ellipses Plot data and 1 and 2 sigma correlation ellipses error.bars Plot means and confidence intervals error.bars.by Plot means and confidence intervals for multiple groups error.crosses Plot x and y error bars error.dots Show a dot.chart with error bars for different groups or variables errorCircles Two way plots of means, error bars, and sample sizes esem Perform and Exploratory Structural Equation Model (ESEM) by using factor extension techniques fa Exploratory Factor analysis using MinRes (minimum residual) as well as EFA by Principal Axis, Weighted Least Squares or Maximum Likelihood fa.diagram Graph factor loading matrices fa.extension Apply Dwyer's factor extension to find factor loadings for extended variables fa.lookup A set of functions for factorial and empirical scale construction fa.multi Multi level (hierarchical) factor analysis fa.parallel Scree plots of data or correlation matrix compared to random "parallel" matrices fa.poly Deprecated Exploratory Factor analysis functions. Please use fa fa.random A first approximation to Random Effects Exploratory Factor Analysis fa.sort Sort factor analysis or principal components analysis loadings faCor Correlations between two factor analysis solutions faRotations Multiple rotations of factor loadings to find local minima factor.congruence Coefficient of factor congruence factor.fit How well does the factor model fit a correlation matrix. Part of the VSS package factor.model Find R = F F' + U2 is the basic factor model factor.residuals R* = R- F F' factor.rotate "Hand" rotate a factor loading matrix factor.scores Various ways to estimate factor scores for the factor analysis model factor.stats Find various goodness of fit statistics for factor analysis and principal components factor2cluster Extract cluster definitions from factor loadings fisherz Transformations of r, d, and t including Fisher r to z and z to r and confidence intervals fparse Parse and exten formula input from a model and return the DV, IV, and associated terms. geometric.mean Find the geometric mean of a vector or columns of a data.frame. glb.algebraic Find the greatest lower bound to reliability. harmonic.mean Find the harmonic mean of a vector, matrix, or columns of a data.frame headTail Combine calls to head and tail iclust iclust: Item Cluster Analysis - Hierarchical cluster analysis using psychometric principles iclust.diagram Draw an ICLUST hierarchical cluster structure diagram interp.median Find the interpolated sample median, quartiles, or specific quantiles for a vector, matrix, or data frame irt.1p Item Response Theory estimate of theta (ability) using a Rasch (like) model irt.fa Item Response Analysis by Exploratory Factor Analysis of tetrachoric/polychoric correlations irt.item.diff.rasch Simple function to estimate item difficulties using IRT concepts irt.responses Plot probability of multiple choice responses as a function of a latent trait kaiser Apply the Kaiser normalization when rotating factors lmCor Multiple Regression, Canonical and Set Correlation from matrix or raw input logistic Logistic transform from x to p and logit transform from p to x lowerUpper Combine two square matrices to have a lower off diagonal for one, upper off diagonal for the other make.keys Create a keys matrix for use by score.items or cluster.cor manhattan "Manhattan" plots of correlations with a set of criteria. mardia Calculate univariate or multivariate (Mardia's test) skew and kurtosis for a vector, matrix, or data.frame mat.sort Sort the elements of a correlation matrix to reflect factor loadings matrix.addition A function to add two vectors or matrices mediate Estimate and display direct and indirect effects of mediators and moderator in path models mixedCor Find correlations for mixtures of continuous, polytomous, and dichotomous variables mssd Find von Neuman's Mean Square of Successive Differences multi.hist Multiple histograms with density and normal fits on one page multilevel.reliability Find and plot various reliability/gneralizability coefficients for multilevel data omega Calculate McDonald's omega estimates of general and total factor saturation omega.graph Graph hierarchical factor structures outlier Find and graph Mahalanobis squared distances to detect outliers p.rep Find the probability of replication for an F, t, or r and estimate effect size paired.r Test the difference between (un)paired correlations pairs.panels SPLOM, histograms and correlations for a data matrix pairwiseCount Count number of pairwise cases for a data set with missing (NA) data and impute values. parcels Find miniscales (parcels) of size 2 or 3 from a set of items partial.r Find the partial correlations for a set (x) of variables with set (y) removed. phi Find the phi coefficient of correlation between two dichotomous variables phi.demo A simple demonstration of the Pearson, phi, and polychoric corelation phi2tetra Convert a phi coefficient to a tetrachoric correlation plot.psych Plotting functions for the psych package of class "psych" polar Convert Cartesian factor loadings into polar coordinates polychor.matrix Phi or Yule coefficient matrix to polychoric coefficient matrix predict.psych Prediction function for factor analysis, principal components (pca), bestScales predicted.validity Find the predicted validities of a set of scales based on item statistics principal Principal components analysis (PCA) print.psych Print and summary functions for the psych class psych A package for personality, psychometric, and psychological research psych.misc Miscellaneous helper functions for the psych package r.test Tests of significance for correlations rangeCorrection Correct correlations for restriction of range. (Thorndike Case 2) reliability Reports 7 different estimates of scale reliabity including alpha, omega, split half rescale Function to convert scores to "conventional " metrics residuals.psych Extract residuals from various psych objects reverse.code Reverse the coding of selected items prior to scale analysis sat.act 3 Measures of ability: SATV, SATQ, ACT scaling.fits Test the adequacy of simple choice, logistic, or Thurstonian scaling. scatterHist Draw a scatter plot with associated X and Y histograms, densities and correlation schmid Apply the Schmid Leiman transformation to a correlation matrix score.alpha Score scales and find Cronbach's alpha as well as associated statistics score.multiple.choice Score multiple choice items and provide basic test statistics scoreIrt Find Item Response Theory (IRT) based scores for dichotomous or polytomous items scoreItems Score item composite scales and find Cronbach's alpha, Guttman lambda 6 and item whole correlations scoreOverlap Find correlations of composite variables (corrected for overlap) from a larger matrix. scoreWtd Score items using regression or correlation based weights scrub A utility for basic data cleaning and recoding. Changes values outside of minimum and maximum limits to NA. sim Functions to simulate psychological/psychometric data. sim.VSS create VSS like data sim.anova Simulate a 3 way balanced ANOVA or linear model, with or without repeated measures. sim.congeneric Simulate a congeneric data set with or without minor factors sim.hierarchical Create a population or sample correlation matrix, perhaps with hierarchical structure. sim.irt Functions to simulate psychological/psychometric data. sim.item Generate simulated data structures for circumplex, spherical, or simple structure sim.multilevel Simulate multilevel data with specified within group and between group correlations sim.omega Further functions to simulate psychological/psychometric data. sim.structure Create correlation matrices or data matrices with a particular measurement and structural model simulation.circ Simulations of circumplex and simple structure small.msq A small example data set taken from a larger data set smc Find the Squared Multiple Correlation (SMC) of each variable with the remaining variables in a matrix spider Make "radar" or "spider" plots. splitHalf Alternative estimates of test reliabiity statsBy Find statistics (including correlations) within and between groups for basic multilevel analyses structure.diagram Draw a structural equation model specified by two measurement models and a structural model structure.list Create factor model matrices from an input list superMatrix Form a super matrix from two sub matrices. table2matrix Convert a table with counts to a matrix or data.frame representing those counts. test.irt A simple demonstration (and test) of various IRT scoring algorthims. test.psych Testing of functions in the psych package testRetest Find various test-retest statistics, including test, person and item reliability tetrachoric Tetrachoric, polychoric, biserial and polyserial correlations from various types of input thurstone Thurstone Case V scaling tr Find the trace of a square matrix unidim Several indices of the unidimensionality of a set of variables. winsor Find the Winsorized scores, means, sds or variances for a vector, matrix, or data.frame withinBetween An example of the distinction between within group and between group correlations