`install.packages('psych')`

150,960

2.3.9

GPL (>= 2)

September 26th, 2023

ICLUST.graph

create control code for ICLUST graphical output

AUC

Decision Theory measures of specificity, sensitivity, and d prime

00.psych

A package for personality, psychometric, and psychological research

ICLUST.cluster

Function to form hierarchical cluster analysis of items

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

Schmid

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

SD

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

Pinv

Compute the Moore-Penrose Pseudo Inverse of a matrix

Tucker

9 Cognitive variables discussed by Tucker and Lewis (1973)

Gleser

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

Garcia

Data from the sexism (protest) study of Garcia, Schmitt, Branscome, and Ellemers (2010)

ICC

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

iclust

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

RMSEA

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

ICLUST.sort

Sort items by absolute size of cluster loadings

ICLUST.rgraph

Draw an ICLUST graph using the Rgraphviz package

Promax

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

VSS

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

KMO

Find the Kaiser, Meyer, Olkin Measure of Sampling Adequacy

VSS.scree

Plot the successive eigen values for a scree test

bi.bars

Draw pairs of bargraphs based on two groups

bfi

25 Personality items representing 5 factors

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

bestScales

A bootstrap aggregation function for choosing most predictive unit weighted items

alpha

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

anova.psych

Model comparison for regression, mediation, and factor analysis

VSS.plot

Plot VSS fits

VSS.parallel

Compare real and random VSS solutions

circ.tests

Apply four tests of circumplex versus simple structure

bock

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

Bechtoldt

Seven data sets showing a bifactor solution.

bigCor

Find large correlation matrices by stitching together smaller ones found more rapidly

cattell

12 cognitive variables from Cattell (1963)

block.random

Create a block randomized structure for n independent variables

biplot.psych

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

cluster.loadings

Find item by cluster correlations, corrected for overlap and reliability

cluster.fit

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

scoreOverlap

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

cor.wt

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

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

congruence

Matrix and profile congruences and distances

cohen.d

Find Cohen d and confidence intervals

corPlot

Create an image plot for a correlation or factor matrix

cluster.plot

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

cor.smooth

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

cor2dist

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

corCi

Bootstrapped and normal confidence intervals for raw and composite correlations

cortest

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

correct.cor

Find dis-attenuated correlations given correlations and reliabilities

densityBy

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

fa.poly

Deprecated Exploratory Factor analysis functions. Please use fa

corr.test

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

cosinor

Functions for analysis of circadian or diurnal data

corFiml

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

cortest.bartlett

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

describeBy

Basic summary statistics by group

describe

Basic descriptive statistics useful for psychometrics

eigen.loadings

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

pairwiseCount

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

ellipses

Plot data and 1 and 2 sigma correlation ellipses

dummy.code

Create dummy coded variables

draw.tetra

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

diagram

Helper functions for drawing path model diagrams

Dwyer

8 cognitive variables used by Dwyer for an example.

cta

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

error.bars

Plot means and confidence intervals

error.bars.by

Plot means and confidence intervals for multiple groups

fa.parallel

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

fa.extension

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

error.crosses

Plot x and y error bars

errorCircles

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

fa

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

fa.lookup

A set of functions for factorial and empirical scale construction

error.dots

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

fa.multi

Multi level (hierarchical) factor analysis

esem

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

fa.diagram

Graph factor loading matrices

fa.random

A first approximation to Random Effects Exploratory Factor Analysis

factor.residuals

R* = R- F F'

faRotations

Multiple rotations of factor loadings to find local minima

fa.sort

Sort factor analysis or principal components analysis loadings

factor.model

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

factor.rotate

``Hand" rotate a factor loading matrix

fisherz

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

factor.stats

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

splitHalf

Alternative estimates of test reliabiity

factor.scores

Various ways to estimate factor scores for the factor analysis model

faCor

Correlations between two factor analysis solutions

fparse

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

factor.congruence

Coefficient of factor congruence

factor2cluster

Extract cluster definitions from factor loadings

irt.item.diff.rasch

Simple function to estimate item difficulties using IRT concepts

geometric.mean

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

make.keys

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

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

glb.algebraic

Find the greatest lower bound to reliability.

factor.fit

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

harmonic.mean

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

p.rep

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

cohen.kappa

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

paired.r

Test the difference between (un)paired correlations

lowerUpper

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

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

mat.sort

Sort the elements of a correlation matrix to reflect factor loadings

logistic

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

pairs.panels

SPLOM, histograms and correlations for a data matrix

headTail

Combine calls to head and tail

iclust.diagram

Draw an ICLUST hierarchical cluster structure diagram

mssd

Find von Neuman's Mean Square of Successive Differences

multi.hist

Multiple histograms with density and normal fits on one page

manhattan

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

irt.responses

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

predicted.validity

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

phi2tetra

Convert a phi coefficient to a tetrachoric correlation

principal

Principal components analysis (PCA)

parcels

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

scrub

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

lmCor

Multiple Regression and Set Correlation from matrix or raw input

rangeCorrection

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

omega

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

print.psych

Print and summary functions for the psych class

multilevel.reliability

Find and plot various reliability/gneralizability coefficients for multilevel data

omega.graph

Graph hierarchical factor structures

outlier

Find and graph Mahalanobis squared distances to detect outliers

sim.irt

Functions to simulate psychological/psychometric data.

phi.demo

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

polychor.matrix

Phi or Yule coefficient matrix to polychoric coefficient matrix

reliability

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

r.test

Tests of significance for correlations

reverse.code

Reverse the coding of selected items prior to scale analysis

scoreIrt

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

sat.act

3 Measures of ability: SATV, SATQ, ACT

rescale

Function to convert scores to ``conventional
" metrics

residuals.psych

Extract residuals from various psych objects

smc

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

scoreItems

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

sim

Functions to simulate psychological/psychometric data.

predict.psych

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

superMatrix

Form a super matrix from two sub matrices.

unidim

Several indices of the unidimensionality of a set of variables.

sim.item

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

sim.VSS

create VSS like data

tetrachoric

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

statsBy

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

spider

Make "radar" or "spider" plots.

sim.omega

Further functions to simulate psychological/psychometric data.

sim.structure

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

schmid

Apply the Schmid Leiman transformation to a correlation matrix

structure.list

Create factor model matrices from an input list

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

structure.diagram

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

testRetest

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

kaiser

Apply the Kaiser normalization when rotating factors

psych.misc

Miscellaneous helper functions for the psych package

sim.hierarchical

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

score.alpha

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

table2matrix

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

mixedCor

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

Tal_Or

Data set testing causal direction in presumed media influence

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

plot.psych

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

polar

Convert Cartesian factor loadings into polar coordinates

winsor

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

sim.multilevel

Simulate multilevel data with specified within group and between group correlations

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

score.multiple.choice

Score multiple choice items and provide basic test statistics

test.irt

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

test.psych

Testing of functions in the psych package

scoreWtd

Score items using regression or correlation based weights

simulation.circ

Simulations of circumplex and simple structure

mardia

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

thurstone

Thurstone Case V scaling

tr

Find the trace of a square matrix

withinBetween

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