`install.packages('psych')`

250,723

2.4.6.26

GPL (>= 2)

June 27th, 2024

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

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

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.

00.psych

A package for personality, psychometric, and psychological research

ICC

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

iclust

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

KMO

Find the Kaiser, Meyer, Olkin Measure of Sampling Adequacy

ICLUST.rgraph

Draw an ICLUST graph using the Rgraphviz package

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.

bassAckward

The Bass-Ackward factoring algorithm discussed by Goldberg

anova.psych

Model comparison for regression, mediation, cluster and factor analysis

bfi

25 Personality items representing 5 factors

AUC

Decision Theory measures of specificity, sensitivity, and d prime

ICLUST.sort

Sort items by absolute size of cluster loadings

ICLUST.cluster

Function to form hierarchical cluster analysis of items

ICLUST.graph

create control code for ICLUST graphical output

Pinv

Compute the Moore-Penrose Pseudo Inverse of a matrix

bi.bars

Draw pairs of bargraphs based on two groups

Schmid

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

scoreOverlap

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

alpha

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

bestScales

A bootstrap aggregation function for choosing most predictive unit weighted items

cluster2keys

Convert a cluster vector (from e.g., kmeans) to a keys matrix suitable for scoring item clusters.

Bechtoldt

Seven data sets showing a bifactor solution.

cluster.fit

cluster Fit: fit of the cluster model to a correlation matrix

VSS.plot

Plot VSS fits

cluster.loadings

Find item by cluster correlations, corrected for overlap and reliability

Tucker

9 Cognitive variables discussed by Tucker and Lewis (1973)

cohen.d

Find Cohen d and confidence intervals

VSS

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

cattell

12 cognitive variables from Cattell (1963)

Promax

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

cluster.plot

Plot factor/cluster loadings and assign items to clusters by their highest loading.

corTest

Find the correlations, sample sizes, and probability values between elements of a matrix or data.frame.

densityBy

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

VSS.scree

Plot the successive eigen values for a scree test

VSS.parallel

Compare real and random VSS solutions

comorbidity

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

cta

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

correct.cor

Find dis-attenuated correlations given correlations and reliabilities

congruence

Matrix and profile congruences and distances

circ.tests

Apply four tests of circumplex versus simple structure

Dwyer

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

Plot data and 1 and 2 sigma correlation ellipses

error.bars

Plot means and confidence intervals

cor2dist

Convert correlations to distances (necessary to do multidimensional scaling of correlation data)

block.random

Create a block randomized structure for n independent variables

RMSEA

Root Mean Squared Error of Approximation from chisq, df, and n

corFiml

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

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

draw.tetra

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

dummy.code

Create dummy coded variables

corPlot

Create an image plot for a correlation or factor matrix

corCi

Bootstrapped and normal confidence intervals for raw and composite correlations

cosinor

Functions for analysis of circadian or diurnal data

fa.diagram

Graph factor loading matrices

bock

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

pairwiseCount

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

error.crosses

Plot x and y error bars

esem

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

cor.smooth

Smooth a non-positive definite correlation matrix to make it positive definite

fa.poly

Deprecated Exploratory Factor analysis functions. Please use fa

fa

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

fa.extension

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

faCor

Correlations between two factor analysis solutions

fa.multi

Multi level (hierarchical) factor analysis

cor.wt

The sample size weighted correlation may be used in correlating aggregated data

error.dots

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

cortest.bartlett

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

factor.fit

How well does the factor model fit a correlation matrix. Part of the VSS package

cortest

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

fparse

Parse and exten formula input from a model and return the DV, IV, and associated terms.

fa.random

A first approximation to Random Effects Exploratory Factor Analysis

describe

Basic descriptive statistics useful for psychometrics

describeBy

Basic summary statistics by group

fa.sort

Sort factor analysis or principal components analysis loadings

diagram

Helper functions for drawing path model diagrams

geometric.mean

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

factor.model

Find R = F F' + U2 is the basic factor model

kaiser

Apply the Kaiser normalization when rotating factors

lmCor

Multiple Regression, Canonical and Set Correlation from matrix or raw input

fa.lookup

A set of functions for factorial and empirical scale construction

fa.parallel

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

error.bars.by

Plot means and confidence intervals for multiple groups

cohen.kappa

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

factor.scores

Various ways to estimate factor scores for the factor analysis model

factor.residuals

R* = R- F F'

errorCircles

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

factor.stats

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

faRotations

Multiple rotations of factor loadings to find local minima

irt.fa

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

factor.rotate

``Hand" rotate a factor loading matrix

glb.algebraic

Find the greatest lower bound to reliability.

lowerUpper

Combine two square matrices to have a lower off diagonal for one, upper off diagonal for the other

logistic

Logistic transform from x to p and logit transform from p to x

mssd

Find von Neuman's Mean Square of Successive Differences

factor.congruence

Coefficient of factor congruence

multi.hist

Multiple histograms with density and normal fits on one page

irt.item.diff.rasch

Simple function to estimate item difficulties using IRT concepts

factor2cluster

Extract cluster definitions from factor loadings

omega.graph

Graph hierarchical factor structures

harmonic.mean

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

headTail

Combine calls to head and tail

splitHalf

Alternative estimates of test reliabiity

fisherz

Transformations of r, d, and t including Fisher r to z and z to r and confidence intervals

iclust.diagram

Draw an ICLUST hierarchical cluster structure diagram

multilevel.reliability

Find and plot various reliability/gneralizability coefficients for multilevel data

irt.1p

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

manhattan

"Manhattan" plots of correlations with a set of criteria.

interp.median

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

omega

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

matrix.addition

A function to add two vectors or matrices

irt.responses

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

psych.misc

Miscellaneous helper functions for the psych package

mediate

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

make.keys

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

partial.r

Find the partial correlations for a set (x) of variables with set (y) removed.

mixedCor

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

pairs.panels

SPLOM, histograms and correlations for a data matrix

parcels

Find miniscales (parcels) of size 2 or 3 from a set of items

print.psych

Print and summary functions for the psych class

phi.demo

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

outlier

Find and graph Mahalanobis squared distances to detect outliers

phi

Find the phi coefficient of correlation between two dichotomous variables

phi2tetra

Convert a phi coefficient to a tetrachoric correlation

mat.sort

Sort the elements of a correlation matrix to reflect factor loadings

scaling.fits

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

r.test

Tests of significance for correlations

p.rep

Find the probability of replication for an F, t, or r and estimate effect size

rangeCorrection

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

plot.psych

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

reliability

Reports 7 different estimates of scale reliabity including alpha, omega, split half

polychor.matrix

Phi or Yule coefficient matrix to polychoric coefficient matrix

polar

Convert Cartesian factor loadings into polar coordinates

rescale

Function to convert scores to ``conventional
" metrics

mardia

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

predict.psych

Prediction function for factor analysis, principal components (pca), bestScales

reverse.code

Reverse the coding of selected items prior to scale analysis

scatterHist

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

paired.r

Test the difference between (un)paired correlations

sat.act

3 Measures of ability: SATV, SATQ, ACT

predicted.validity

Find the predicted validities of a set of scales based on item statistics

sim.VSS

create VSS like data

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.anova

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

residuals.psych

Extract residuals from various psych objects

principal

Principal components analysis (PCA)

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

sim.congeneric

Simulate a congeneric data set with or without minor factors

spider

Make "radar" or "spider" plots.

structure.list

Create factor model matrices from an input list

superMatrix

Form a super matrix from two sub matrices.

sim.structure

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

withinBetween

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

simulation.circ

Simulations of circumplex and simple structure

sim.hierarchical

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

sim.irt

Functions to simulate psychological/psychometric data.

schmid

Apply the Schmid Leiman transformation to a correlation matrix

scoreIrt

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

score.alpha

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

sim.item

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

scoreItems

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

sim.multilevel

Simulate multilevel data with specified within group and between group correlations

sim.omega

Further functions to simulate psychological/psychometric data.

test.irt

A simple demonstration (and test) of various IRT scoring algorthims.

testRetest

Find various test-retest statistics, including test, person and item reliability

test.psych

Testing of functions in the psych package

score.multiple.choice

Score multiple choice items and provide basic test statistics

table2matrix

Convert a table with counts to a matrix or data.frame representing those counts.

scoreWtd

Score items using regression or correlation based weights

statsBy

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

Tal_Or

Data set testing causal direction in presumed media influence

structure.diagram

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

tetrachoric

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

unidim

Several indices of the unidimensionality of a set of variables.

thurstone

Thurstone Case V scaling

winsor

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

tr

Find the trace of a square matrix