# psych v1.0-95

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## Procedures for Psychological, Psychometric, and Personality Research

A number of routines for personality, psychometrics and experimental psychology. Functions are primarily for scale construction using factor analysis, cluster analysis and reliability analysis, although others provide basic descriptive statistics. Item Response Theory is done using factor analysis of tetrachoric and polychoric correlations. Functions for simulating particular item and test structures are included. Several functions serve as a useful front end for structural equation modeling. Graphical displays of path diagrams, factor analysis and structural equation models are created using basic graphics. Some of the functions are written to support a book on psychometrics as well as publications in personality research. For more information, see the personality-project.org/r webpage.

## Functions in psych

 Name Description SD Find the Standard deviation for a vector, matrix, or data.frame - do not return error if there are no cases Gorsuch Example data set from Gorsuch (1997) for an example factor extension. irt.fa Item Response Analysis by factor analysis of tetrachoric/polychoric correlations Schmid 12 variables created by Schmid and Leiman to show the Schmid-Leiman Transformation Bechtoldt Seven data sets showing a bifactor solution. ICLUST.sort Sort items by absolute size of cluster loadings ICC Intraclass Correlations (ICC1, ICC2, ICC3 from Shrout and Fleiss) factor.stats Find various goodness of fit statistics for factor analysis and principal components affect Two data sets of affect and arousal scores as a function of personality and movie conditions cluster.plot Plot factor/cluster loadings and assign items to clusters by their highest loading. cluster.fit cluster Fit: fit of the cluster model to a correlation matrix error.bars Plot means and confidence intervals Harman Two data sets from Harman (1967). 9 cognitive variables from Holzinger and 8 emotional variables from Burt Yule From a two by two table, find the Yule coefficients of association, convert to phi, or polychoric, recreate table the table to create the Yule coefficient. biplot.psych Draw biplots of factor or component scores by factor or component loadings bi.bars Draw pairs of bargraphs based on two groups correct.cor Find dis-attenuated correlations given correlations and reliabilities cluster.loadings Find item by cluster correlations, corrected for overlap and reliability VSS.parallel Compare real and random VSS solutions error.crosses Plot x and y error bars plot.psych Plotting functions for the psych package of class psych" epi.bfi 13 personality scales from the Eysenck Personality Inventory and Big 5 inventory cities Distances between 11 US cities alpha Find two estimates of reliability: Cronbach's alpha and Guttman's Lambda 6. blot Bond's Logical Operations Test -- BLOT scaling.fits Test the adequacy of simple choice, logistic, or Thurstonian scaling. bfi 25 Personality items representing 5 factors Dwyer 8 cognitive variables used by Dwyer for an example. phi2poly Convert a phi coefficient to a polychoric correlation iqitems 14 multiple choice IQ items ICLUST.rgraph Draw an ICLUST graph using the Rgraphviz package galton Galton's Mid parent child height data bock Bock and Liberman (1970) data set of 1000 observations of the LSAT cortest.bartlett Bartlett's test that a correlation matrix is an identity matrix iclust iclust: Item Cluster Analysis -- Hierarchical cluster analysis using psychometric principles burt 11 emotional variables from Burt (1915) cosinor Functions for analysis of circadian or diurnal data peas Galtons Peas test.psych Testing of functions in the psych package predict.psych Prediction function for factor analysis or principal components Promax Perform promax or targeted rotations and return the inter factor angles principal Principal components analysis Tucker 9 Cognitive variables discussed by Tucker and Lewis (1973) read.clipboard shortcut for reading from the clipboard factor.residuals R* = R- F F' cubits Galton's example of the relationship between height and 'cubit' or forearm length ellipses Plot data and 1 and 2 sigma correlation ellipses score.items Score item composite scales and find Cronbach's alpha, Guttman lambda 6 and item whole correlations glb.algebraic Find the greatest lower bound to reliability. factor.model Find R = F F' + U2 is the basic factor model sim.anova Simulate a 3 way balanced ANOVA or linear model, with or without repeated measures. cluster2keys Convert a cluster vector (from e.g., kmeans) to a keys matrix suitable for scoring item clusters. describe Basic descriptive statistics useful for psychometrics fa MinRes (minimum residual) Factor analysis as well as Factor Analysis by Principal Axis, Weighted Least Squares or Maximum Likelihood cta Simulate the C(ues) T(endency) A(ction) model of motivation comorbidity Convert base rates of two diagnoses and their comorbidity into phi, Yule, and tetrachorics neo NEO correlation matrix from the NEO_PI_R manual error.bars.by Plot means and confidence intervals for multiple groups fa.sort Sort factor analysis or principal components analysis loadings iclust.diagram Draw an ICLUST hierarchical cluster structure diagram 00.psych A package for personality, psychometric, and psychological research VSS.plot Plot VSS fits factor.fit How well does the factor model fit a correlation matrix. Part of the VSS package eigen.loadings Convert eigen vectors and eigen values to the more normal (for psychologists) component loadings factor2cluster Extract cluster definitions from factor loadings VSS Apply the Very Simple Structure and MAP criteria to determine the appropriate number of factors. geometric.mean Find the geometric mean of a vector or columns of a data.frame. cortest.mat Chi square tests of whether a single matrix is an identity matrix, or a pair of matrices are equal. cohen.kappa Find Cohen's kappa and weighted kappa coefficients for correlation of two raters logistic Logistic transform from x to p and logit transform from p to x tetrachoric Tetrachoric, polychoric, biserial and polyserial correlations from various types of input interp.median Find the interpolated sample median, quartiles, or specific quantiles for a vector, matrix, or data frame p.rep Find the probability of replication for an F, t, or r and estimate effect size cor.plot Create an image plot for a correlation or factor matrix omega.graph Graph hierarchical factor structures guttman Alternative estimates of test reliabiity phi.demo A simple demonstration of the Pearson, phi, and polychoric corelation mat.regress Multiple Regression from matrix input factor.rotate Hand" rotate a factor loading matrix irt.item.diff.rasch Simple function to estimate item difficulties using IRT concepts partial.r Find the partial correlations for a set (x) of variables with set (y) removed. structure.diagram Draw a structural equation model specified by two measurement models and a structural model sat.act 3 Measures of ability: SATV, SATQ, ACT describe.by Basic summary statistics by group vegetables Paired comparison of preferences for 9 vegetables circ.tests Apply four tests of circumplex versus simple structure fisherz Fisher r to z and z to r and confidence intervals pairs.panels SPLOM, histograms and correlations for a data matrix polychor.matrix Phi or Yule coefficient matrix to polychoric coefficient matrix super.matrix Form a super matrix from two sub matrices. sim.hierarchical Create a population or sample correlation matrix, perhaps with hierarchical structure. rescale Function to convert scores to conventional " metrics print.psych Print and summary functions for the psych class multi.hist Multiple histograms with density and normal fits on one page irt.1p Item Response Theory estimate of theta (ability) using a Rasch (like) model phi Find the phi coefficient of correlation between two dichotomous variables sim Functions to simulate psychological/psychometric data. mixed.cor Find correlations for mixtures of continuous, polytomous, and dichotomous variables mat.sort Sort the elements of a correlation matrix to reflect factor loadings fa.extension Apply Dwyer's factor extension to find factor loadings for extended variables scatter.hist Draw a scatter plot with associated X and Y histograms, densitie and correlation tr Find the trace of a square matrix simulation.circ Simulations of circumplex and simple structure fa.diagram Graph factor loading matrices score.multiple.choice Score multiple choice items and provide basic test statistics heights A data.frame of the Galton (1888) height and cubit data set. sim.VSS create VSS like data r.test Tests of significance for correlations winsor Find the Winsorized scores, means, sds or variances for a vector, matrix, or data.frame mardia Calculate univariate or multivariate (Mardia's test) skew and kurtosis for a vector, matrix, or data.frame sim.item Generate simulated data structures for circumplex or simple structure reverse.code Reverse the coding of selected items prior to scale analysis make.keys Create a keys matrix for use by score.items or cluster.cor omega Calculate McDonald's omega estimates of general and total factor saturation structure.list Create factor model matrices from an input list thurstone Thurstone Case V scaling score.alpha Score scales and find Cronbach's alpha as well as associated statistics polar Convert Cartesian factor loadings into polar coordinates sim.structure Create correlation matrices or data matrices with a particular measurement and structural model table2matrix Convert a table with counts to a matrix or data.frame representing those counts. count.pairwise Count number of pairwise cases for a data set with missing (NA) data. scrub A utility for basic data cleaning and recoding. Changes values outside of minimum and maximum limits to NA. sim.congeneric Simulate a congeneric data set ICLUST.graph create control code for ICLUST graphical output diagram Helper functions for drawing path model diagrams VSS.scree Plot the successive eigen values for a scree test factor.congruence Coefficient of factor congruence harmonic.mean Find the harmonic mean of a vector, matrix, or columns of a data.frame paired.r Test the difference between (un)paired correlations cluster.cor Find correlations of composite variables from a larger matrix block.random Create a block randomized structure for n independent variables corr.test Find the correlations, sample sizes, and probability values between elements of a matrix or data.frame. headtail Combine calls to head and tail income US family income from US census 2008 msq 75 mood items from the Motivational State Questionnaire for 3896 participants ICLUST.cluster Function to form hierarchical cluster analysis of items matrix.addition A function to add two vectors or matrices fa.parallel Scree plots of data or correlation matrix compared to random parallel" matrices draw.tetra Draw a correlation ellipse and two normal curves to demonstrate tetrachoric correlation smc Find the Squared Multiple Correlation (SMC) of each variable with the remaining variables in a matrix No Results!

## Details

 Date 2011-03-31 License GPL (>= 2) LazyData true URL http://personality-project.org/r, http://personality-project.org/r/psych.manual.pdf Packaged 2011-03-31 15:43:09 UTC; revelle Repository CRAN Date/Publication 2011-03-31 18:41:39
 suggests GPArotation , graph , lavaan , MASS , mvtnorm , polycor , Rcsdp , Rgraphviz , sem Contributors William Revelle