All functions

00.psych

A package for personality, psychometric, and psychological research

data

16 ability items scored as correct or incorrect.

data

Two data sets of affect and arousal scores as a function of personality and movie conditions

alpha

Find two estimates of reliability: Cronbach's alpha and Guttman's Lambda 6.

bestScales bestItems lookup fa.lookup item.lookup keys.lookup

A set of functions for factorial and empirical scale construction

data

25 Personality items representing 5 factors

bi.bars

Draw pairs of bargraphs based on two groups

data

Seven data sets showing a bifactor solution.

biplot

Draw biplots of factor or component scores by factor or component loadings

block.random

Create a block randomized structure for n independent variables

data

Bond's Logical Operations Test -- BLOT

data

Bock and Liberman (1970) data set of 1000 observations of the LSAT

data

11 emotional variables from Burt (1915)

data

12 cognitive variables from Cattell (1963)

circ.tests

Apply four tests of circumplex versus simple structure

data

Distances between 11 US cities

scoreOverlap cluster.cor

Find correlations of composite variables (corrected for overlap) from a larger matrix.

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 fa.plot factor.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.

comorbidity

Convert base rates of two diagnoses and their comorbidity into phi, Yule, and tetrachorics

cor.ci corCi

Bootstrapped confidence intervals for raw and composite correlations

corPlot cor.plot cor.plot.upperLowerCi

Create an image plot for a correlation or factor matrix

cor.smooth cor.smoother

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)

corFiml

Find a Full Information Maximum Likelihood (FIML) correlation or covariance matrix from a data matrix with missing data

corr.test corr.p

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.bartlett

Bartlett's test that a correlation matrix is an identity matrix

cortest.normal cortest cortest.jennrich cortest.mat

Chi square tests of whether a single matrix is an identity matrix, or a pair of matrices are equal.

cosinor cosinor.plot cosinor.period circadian.phase circadian.mean circadian.sd circadian.stats circadian.F circadian.reliability circular.mean circadian.cor circular.cor circadian.linear.cor

Functions for analysis of circadian or diurnal data

count.pairwise pairwiseDescribe

Count number of pairwise cases for a data set with missing (NA) data.

cta cta.15

Simulate the C(ues) T(endency) A(ction) model of motivation

data

Galton's example of the relationship between height and 'cubit' or forearm length

data

A data set from Cushny and Peebles (1905) on the effect of three drugs on hours of sleep, used by Student (1908)

densityBy violinBy

Create a 'violin plot' or density plot of the distribution of a set of variables

fa.poly factor.minres factor.wls

Deprecated Exploratory Factor analysis functions. Please use fa

describeBy describe.by

Basic summary statistics by group

describe describeData

Basic descriptive statistics useful for psychometrics

df2latex cor2latex fa2latex omega2latex irt2latex ICC2latex

Convert a data frame, correlation matrix, or factor analysis output to a LaTeX table

dfOrder

Sort (order) a dataframe or matrix by multiple columns

diagram dia.rect dia.ellipse dia.triangle dia.ellipse1 dia.shape dia.arrow dia.curve dia.curved.arrow dia.self dia.cone

Helper functions for drawing path model diagrams

draw.tetra draw.cor

Draw a correlation ellipse and two normal curves to demonstrate tetrachoric correlation

dummy.code

Create dummy coded variables

data

8 cognitive variables used by Dwyer for an example.

eigen.loadings

Convert eigen vectors and eigen values to the more normal (for psychologists) component loadings

ellipses minkowski

Plot data and 1 and 2 sigma correlation ellipses

data

13 personality scales from the Eysenck Personality Inventory and Big 5 inventory

data

Eysenck Personality Inventory (EPI) data for 3570 participants

error.bars.by

Plot means and confidence intervals for multiple groups

error.bars error.bars.tab

Plot means and confidence intervals

errorCircles

Two way plots of means, error bars, and sample sizes

error.crosses

Plot x and y error bars

error.dots

Show a dot.chart with error bars for different groups or variables

esem esem.diagram interbattery

Perform and Exploratory Structural Equation Model (ESEM) by using factor extension techniques

fa.diagram het.diagram fa.graph fa.rgraph

Graph factor loading matrices

fa.extension fa.extend

Apply Dwyer's factor extension to find factor loadings for extended variables

fa.parallel fa.parallel.poly plot

Scree plots of data or correlation matrix compared to random ``parallel" matrices

fa fac

Exploratory Factor analysis using MinRes (minimum residual) as well as EFA by Principal Axis, Weighted Least Squares or Maximum Likelihood

fa.sort fa.organize

Sort factor analysis or principal components analysis loadings

factor.congruence fa.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

fa.stats factor.stats

Find various goodness of fit statistics for factor analysis and principal components

factor2cluster

Extract cluster definitions from factor loadings

fa.multi fa.multi.diagram

Multi level (hierarchical) factor analysis

fisherz fisherz2r r.con r2t r2d d2r t2r g2r chi2r r2chi r2c cor2cov

Transformations of r including Fisher r to z and z to r and confidence intervals

data

Galton's Mid parent child height data

geometric.mean

Find the geometric mean of a vector or columns of a data.frame.

glb.algebraic

Find the greatest lower bound to reliability.

data

Example data from Gleser, Cronbach and Rajaratnam (1965) to show basic principles of generalizability theory.

data

Example data set from Gorsuch (1997) for an example factor extension.

splitHalf guttman tenberge glb glb.fa

Alternative estimates of test reliabiity

data

5 socio-economic variables from Harman (1967)

data

Correlations of eight physical variables (from Harman, 1966)

data

Eight political variables used by Harman (1967) as example 8.17

data

Two data sets from Harman (1967). 9 cognitive variables from Holzinger and 8 emotional variables from Burt

harmonic.mean

Find the harmonic mean of a vector, matrix, or columns of a data.frame

headTail headtail topBottom quickView

Combine calls to head and tail

data

A data.frame of the Galton (1888) height and cubit data set.

ICC

Intraclass Correlations (ICC1, ICC2, ICC3 from Shrout and Fleiss)

ICLUST.cluster

Function to form hierarchical cluster analysis of items

iclust.diagram

Draw an ICLUST hierarchical cluster structure diagram

ICLUST.graph

create control code for ICLUST graphical output

iclust ICLUST

iclust: Item Cluster Analysis -- Hierarchical cluster analysis using psychometric principles

ICLUST.rgraph

Draw an ICLUST graph using the Rgraphviz package

ICLUST.sort

Sort items by absolute size of cluster loadings

data

US family income from US census 2008

interp.median interp.quantiles interp.quartiles interp.boxplot interp.values interp.qplot.by

Find the interpolated sample median, quartiles, or specific quantiles for a vector, matrix, or data frame

data

16 multiple choice IQ items

irt.fa irt.select fa2irt

Item Response Analysis by Exploratory Factor Analysis of tetrachoric/polychoric correlations

irt.item.diff.rasch irt.discrim

Simple function to estimate item difficulties using IRT concepts

irt.person.rasch irt.0p irt.1p irt.2p

Item Response Theory estimate of theta (ability) using a Rasch (like) model

irt.responses

Plot probability of multiple choice responses as a function of a latent trait

kaiser

Apply the Kaiser normalization when rotating factors

cohen.kappa wkappa

Find Cohen's kappa and weighted kappa coefficients for correlation of two raters

KMO

Find the Kaiser, Meyer, Olkin Measure of Sampling Adequacy

logistic logit logistic.grm

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 keys2list

Create a keys matrix for use by score.items or cluster.cor

mat.sort

Sort the elements of a correlation matrix to reflect factor loadings

%+%

A function to add two vectors or matrices

mediate mediate.diagram moderate.diagram

Estimate and display direct and indirect effects of mediators and moderator in path models

psych.misc lowerCor cor2 lowerMat tableF reflect progressBar shannon test.all levels2numeric char2numeric isCorrelation

Miscellaneous helper functions for the psych package

mixedCor mixed.cor

Find correlations for mixtures of continuous, polytomous, and dichotomous variables

data

75 mood items from the Motivational State Questionnaire for 3896 participants

mssd rmssd autoR

Find von Neuman's Mean Square of Successive Differences

multi.hist histBy

Multiple histograms with density and normal fits on one page

mlr mlArrange mlPlot multilevel.reliability

Find and plot various reliability/gneralizability coefficients for multilevel data

data

NEO correlation matrix from the NEO_PI_R manual

omega.diagram omega.graph

Graph hierarchical factor structures

omega omegaSem omegah omegaFromSem

Calculate McDonald's omega estimates of general and total factor saturation

outlier

Find and graph Mahalanobis squared distances to detect outliers

p.rep p.rep.f p.rep.r p.rep.t

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

parcels keysort

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.

data

Galton`s Peas

phi.demo

A simple demonstration of the Pearson, phi, and polychoric corelation

phi

Find the phi coefficient of correlation between two dichotomous variables

phi2tetra phi2poly

Convert a phi coefficient to a tetrachoric correlation

plot

Plotting functions for the psych package of class ``psych"

polar

Convert Cartesian factor loadings into polar coordinates

Yule2poly.matrix phi2poly.matrix Yule2phi.matrix

Phi or Yule coefficient matrix to polychoric coefficient matrix

predict

Prediction function for factor analysis or principal components

principal

Principal components analysis (PCA)

print summary anova

Print and summary functions for the psych class

bifactor biquartimin TargetQ Promax target.rot varimin vgQ.bimin vgQ.targetQ vgQ.varimin equamax

Perform bifactor, promax or targeted rotations and return the inter factor angles.

r.test

Tests of significance for correlations

rangeCorrection

Correct correlations for restriction of range. (Thorndike Case 2)

read.file read.clipboard read.clipboard.csv read.clipboard.tab read.clipboard.lower read.clipboard.upper read.clipboard.fwf read.https read.file.csv write.file write.file.csv

Shortcuts for reading from the clipboard or a file

rescale

Function to convert scores to ``conventional " metrics

residuals resid

Extract residuals from various psych objects

reverse.code

Reverse the coding of selected items prior to scale analysis

data

3 Measures of ability: SATV, SATQ, ACT

scaling.fits

Test the adequacy of simple choice, logistic, or Thurstonian scaling.

scatterHist scatter.hist

Draw a scatter plot with associated X and Y histograms, densities and correlation

data

12 variables created by Schmid and Leiman to show the Schmid-Leiman Transformation

schmid

Apply the Schmid Leiman transformation to a correlation matrix

data

The Schutz correlation matrix example from Shapiro and ten Berge

score.alpha

Score scales and find Cronbach's alpha as well as associated statistics

scoreIrt scoreIrt.1pl scoreIrt.2pl score.irt score.irt.2 score.irt.poly irt.stats.like irt.tau irt.se

Find Item Response Theory (IRT) based scores for dichotomous or polytomous items

scoreItems score.items scoreFast response.frequencies

Score item composite scales and find Cronbach's alpha, Guttman lambda 6 and item whole correlations

score.multiple.choice

Score multiple choice items and provide basic test statistics

scrub

A utility for basic data cleaning and recoding. Changes values outside of minimum and maximum limits to NA.

SD

Find the Standard deviation for a vector, matrix, or data.frame - do not return error if there are no cases

setCor setCor.diagram set.cor mat.regress matReg

Set Correlation and Multiple Regression from matrix or raw input

sim.anova

Simulate a 3 way balanced ANOVA or linear model, with or without repeated measures.

sim.congeneric

Simulate a congeneric data set

sim.hierarchical make.hierarchical

Create a population or sample correlation matrix, perhaps with hierarchical structure.

sim.item sim.circ sim.dichot item.dichot sim.spherical con2cat

Generate simulated data structures for circumplex, spherical, or simple structure

sim.multi sim.multilevel

Simulate multilevel data with specified within group and between group correlations

sim sim.simplex sim.general sim.minor sim.omega sim.parallel sim.rasch sim.irt sim.npl sim.npn sim.poly sim.poly.npn sim.poly.npl sim.poly.ideal sim.poly.ideal.npn sim.poly.ideal.npl sim.poly.mat

Functions to simulate psychological/psychometric data.

sim.structure sim.structural sim.correlation

Create correlation matrices or data matrices with a particular measurement and structural model

sim.VSS

create VSS like data

simulation.circ circ.sim.plot

Simulations of circumplex and simple structure

skew kurtosi mardia

Calculate univariate or multivariate (Mardia's test) skew and kurtosis for a vector, matrix, or data.frame

smc

Find the Squared Multiple Correlation (SMC) of each variable with the remaining variables in a matrix

spider radar

Make "radar" or "spider" plots.

statsBy statsBy.boot statsBy.boot.summary faBy

Find statistics (including correlations) within and between groups for basic multilevel analyses

structure.diagram structure.graph structure.sem lavaan.diagram

Draw a structural equation model specified by two measurement models and a structural model

structure.list phi.list

Create factor model matrices from an input list

superMatrix super.matrix

Form a super matrix from two sub matrices.

table2matrix table2df

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

tetrachoric polychoric biserial polyserial polydi poly.mat

Tetrachoric, polychoric, biserial and polyserial correlations from various types of input

thurstone

Thurstone Case V scaling

tr

Find the trace of a square matrix

data

9 Cognitive variables discussed by Tucker and Lewis (1973)

unidim

Several indices of the unidimensionality of a set of variables.

data

Paired comparison of preferences for 9 vegetables

VSS.parallel

Compare real and random VSS solutions

VSS.plot

Plot VSS fits

vss VSS nfactors

Apply the Very Simple Structure, MAP, and other criteria to determine the appropriate number of factors.

scree VSS.scree

Plot the successive eigen values for a scree test

winsor winsor.mean winsor.means winsor.sd winsor.var

Find the Winsorized scores, means, sds or variances for a vector, matrix, or data.frame

data

An example of the distinction between within group and between group correlations

YuleBonett YuleCor Yule Yule.inv Yule2phi Yule2tetra Yule2poly

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.