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psych (version 1.0-61)

Procedures for Personality, Psychometric, and Psychological Research

Description

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. For more information, see the personality-project.org/r.

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Install

install.packages('psych')

Monthly Downloads

178,796

Version

1.0-61

License

GPL version 2 or newer

Maintainer

William Revelle

Last Published

February 3rd, 2026

Functions in psych (1.0-61)

ICC

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

Cronbach alpha for a scale
headtail

Combine calls to head and tail
p.rep

Find the probability of replication for an F, t, or r and estimate effect size
irt.1p

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

14 multiple choice IQ items
factor.model

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

create control code for ICLUST graphical output
count.pairwise

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

Calculate skew or kurtosis for a vector, matrix, or data.frame
ICLUST.cluster

Function to form hierarchical cluster analysis of items
bfi

25 Personality items representing 5 factors
score.items

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

Fisher r to z and z to r and confidence intervals
super.matrix

Form a super matrix from two sub matrices.
cluster.plot

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

Basic descriptive statistics useful for psychometrics
SD

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

Simulate a congeneric data set
sim.hierarchical

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

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

Functions to simulate psychological/psychometric data
factor.pa

Principal Axis Factor Analysis
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.
VSS.scree

Plot a scree test
smc

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

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

Principal components analysis
error.crosses

Plot x and y error bars
structure.graph

Draw (using Graphviz) a structural equation model specified by two measurement models and a structural model
multi.hist

Multiple histograms with density and normal fits on one page
score.multiple.choice

Score multiple choice items and provide basic test statistics
ICLUST.rgraph

Draw an ICLUST graph using the Rgraphviz package
print.psych

Print and summary functions for the psych class
make.keys

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

SPLOM, histograms and correlations for a data matrix
correct.cor

Find dis-attenuated correlations given correlations and reliabilities
comorbidity

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

A function to add two vectors or matrices
polar

Convert Cartesian factor loadings into polar coordinates
VSS.parallel

Compare real and random VSS solutions
bifactor

Two data sets showing a bifactor solution.
psych

A package for personality, psychometric, and psychological research
sat.act

3 Measures of ability: SATV, SATQ, ACT
VSS.plot

Plot VSS fits
ICLUST.sort

Sort items by absolute size of cluster loadings
sim.structural

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

Alternative estimates of test reliabiity
cosinor

Functions for analysis of circadian or diurnal data
cluster.cor

Find correlations of composite variables from a larger matrix
eigen.loadings

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

Phi or Yule coefficient matrix to polychoric coefficient matrix
epi.bfi

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

Plot data and 1 and 2 sigma correlation ellipses
cluster.fit

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

Distances between 11 US cities
galton

Galton's Mid parent child height data
sim.item

Generate simulated data structures for circumplex or simple structure
describe.by

Basic summary statistics by group
rescale

Function to convert scores to ``conventional " metrics
circ.tests

Apply four tests of circumplex versus simple structure
factor.congruence

Coefficient of factor congruence
cluster2keys

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

ICLUST: Item Cluster Analysis -- Hierarchical cluster analysis using psychometric principles
phi2poly

Convert a phi coefficient to a polychoric correlation
partial.r

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

Test the difference between (un)paired correlations
error.bars

Plot means and confidence intervals
wkappa

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

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

Calculate the omega estimate of factor saturation
read.clipboard

shortcut for reading from the clipboard
factor2cluster

Extract cluster definitions from factor loadings
heights

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

Plot means and confidence intervals for multiple groups
phi.demo

Create demo data for psychometrics
peas

Galton`s Peas
omega.graph

Graph hierarchical factor structures
VSS

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

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

Find the phi coefficient of correlation between two dichotomous variables
factor.rotate

``Hand" rotate a factor loading matrix
cortest.mat

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

Find item by cluster correlations, corrected for overlap and reliability
sim.VSS

create VSS like data
mat.regress

Multiple Regression from matrix input
factor.residuals

R* = R- F F'
r.test

Tests of significance for correlations
simulation.circ

Simulations of circumplex and simple structure
fa.graph

Graph factor loading matrices
fa.parallel

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

Apply the Schmid Leiman transformation to a correlation matrix
vegetables

Paired comparison of preferences for 9 vegetables
poly.mat

Find polychoric correlations of item data
score.alpha

Score scales and find Cronbach's alpha as well as associated statistics
irt.item.diff.rasch

Simple function to estimate item difficulties using IRT concepts
scaling.fits

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

Find the trace of a square matrix
table2matrix

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

Testing of functions in the psych package
thurstone

Thurstone Case V scaling
factor.fit

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

Plotting functions for the psych package of class ``psych"
interp.median

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

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