psych v1.8.10


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Procedures for Psychological, Psychometric, and Personality Research

A general purpose toolbox for personality, psychometric theory and experimental psychology. Functions are primarily for multivariate analysis and scale construction using factor analysis, principal component 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 analyzing data at multiple levels include within and between group statistics, including correlations and factor analysis. Functions for simulating and testing 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 psychometric theory as well as publications in personality research. For more information, see the <> web page.

Functions in psych

Name Description
00.psych A package for personality, psychometric, and psychological research
VSS Apply the Very Simple Structure, MAP, and other criteria to determine the appropriate number of factors.
VSS.parallel Compare real and random VSS solutions
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.
ability 16 ability items scored as correct or incorrect.
Gorsuch Example data set from Gorsuch (1997) for an example factor extension.
affect Two data sets of affect and arousal scores as a function of personality and movie conditions
Harman Five data sets from Harman (1967). 9 cognitive variables from Holzinger and 8 emotional variables from Burt
ICC Intraclass Correlations (ICC1, ICC2, ICC3 from Shrout and Fleiss)
block.random Create a block randomized structure for n independent variables
iclust iclust: Item Cluster Analysis -- Hierarchical cluster analysis using psychometric principles
ICLUST.cluster Function to form hierarchical cluster analysis of items
ICLUST.rgraph Draw an ICLUST graph using the Rgraphviz package
ICLUST.sort Sort items by absolute size of cluster loadings
blot Bond's Logical Operations Test -- BLOT
ICLUST.graph create control code for ICLUST graphical output
alpha Find two estimates of reliability: Cronbach's alpha and Guttman's Lambda 6.
SD Find the Standard deviation for a vector, matrix, or data.frame - do not return error if there are no cases
cohen.d Find Cohen d and confidence intervals
Schmid 12 variables created by Schmid and Leiman to show the Schmid-Leiman Transformation
cortest.bartlett Bartlett's test that a correlation matrix is an identity matrix
KMO Find the Kaiser, Meyer, Olkin Measure of Sampling Adequacy
cattell 12 cognitive variables from Cattell (1963)
bi.bars Draw pairs of bargraphs based on two groups
Bechtoldt Seven data sets showing a bifactor solution.
biplot.psych Draw biplots of factor or component scores by factor or component loadings
Promax Perform Procustes,bifactor, promax or targeted rotations and return the inter factor angles.
circ.tests Apply four tests of circumplex versus simple structure
bestScales A bootstrap aggregation (bagging) function for choosing most predictive items
blant A 29 x 29 matrix that produces weird factor analytic results
cor.smooth Smooth a non-positive definite correlation matrix to make it positive definite
cortest.mat Chi square tests of whether a single matrix is an identity matrix, or a pair of matrices are equal.
bfi 25 Personality items representing 5 factors
cor.wt The sample size weighted correlation may be used in correlating aggregated data
bock Bock and Liberman (1970) data set of 1000 observations of the LSAT
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
burt 11 emotional variables from Burt (1915)
fa.poly Deprecated Exploratory Factor analysis functions. Please use fa
cluster.plot Plot factor/cluster loadings and assign items to clusters by their highest loading.
cubits Galton's example of the relationship between height and 'cubit' or forearm length
Dwyer 8 cognitive variables used by Dwyer for an example. Plot means and confidence intervals for multiple groups
describe Basic descriptive statistics useful for psychometrics
describeBy Basic summary statistics by group
errorCircles Two way plots of means, error bars, and sample sizes
df2latex Convert a data frame, correlation matrix, or factor analysis output to a LaTeX table
epi.bfi 13 personality scales from the Eysenck Personality Inventory and Big 5 inventory
cor.plot Create an image plot for a correlation or factor matrix Bootstrapped confidence intervals for raw and composite correlations
error.bars Plot means and confidence intervals
cor2dist Convert correlations to distances (necessary to do multidimensional scaling of correlation data)
esem Perform and Exploratory Structural Equation Model (ESEM) by using factor extension techniques
fa Exploratory Factor analysis using MinRes (minimum residual) as well as EFA by Principal Axis, Weighted Least Squares or Maximum Likelihood
factor.scores Various ways to estimate factor scores for the factor analysis model
eigen.loadings Convert eigen vectors and eigen values to the more normal (for psychologists) component loadings
headTail Combine calls to head and tail
factor.stats Find various goodness of fit statistics for factor analysis and principal components
heights A data.frame of the Galton (1888) height and cubit data set.
msq 75 mood items from the Motivational State Questionnaire for 3896 participants
fa.lookup A set of functions for factorial and empirical scale construction
corFiml Find a Full Information Maximum Likelihood (FIML) correlation or covariance matrix from a data matrix with missing data
Garcia Data from the sexism (protest) study of Garcia, Schmitt, Branscome, and Ellemers (2010)
fa.parallel Scree plots of data or correlation matrix compared to random ``parallel" matrices
msqR 75 mood items from the Motivational State Questionnaire for 3032 unique participants
dfOrder Sort (order) a dataframe or matrix by multiple columns
fa.random A first approximation to Random Effects Exploratory Factor Analysis
fa.sort Sort factor analysis or principal components analysis loadings
splitHalf Alternative estimates of test reliabiity
harmonic.mean Find the harmonic mean of a vector, matrix, or columns of a data.frame
Gleser Example data from Gleser, Cronbach and Rajaratnam (1965) to show basic principles of generalizability theory.
cluster2keys Convert a cluster vector (from e.g., kmeans) to a keys matrix suitable for scoring item clusters.
fisherz Transformations of r, d, and t including Fisher r to z and z to r and confidence intervals
corr.test 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
galton Galton's Mid parent child height data
omega.graph Graph hierarchical factor structures
omega Calculate McDonald's omega estimates of general and total factor saturation
phi.demo A simple demonstration of the Pearson, phi, and polychoric corelation
diagram Helper functions for drawing path model diagrams
geometric.mean Find the geometric mean of a vector or columns of a data.frame.
error.crosses Plot x and y error bars
error.dots Show a dot.chart with error bars for different groups or variables
irt.fa Item Response Analysis by Exploratory Factor Analysis of tetrachoric/polychoric correlations
fa.diagram Graph factor loading matrices
irt.item.diff.rasch Simple function to estimate item difficulties using IRT concepts
phi2tetra Convert a phi coefficient to a tetrachoric correlation
psych.misc Miscellaneous helper functions for the psych package
fa.extension Apply Dwyer's factor extension to find factor loadings for extended variables
mixedCor Find correlations for mixtures of continuous, polytomous, and dichotomous variables
schmid Apply the Schmid Leiman transformation to a correlation matrix
cushny A data set from Cushny and Peebles (1905) on the effect of three drugs on hours of sleep, used by Student (1908)
densityBy Create a 'violin plot' or density plot of the distribution of a set of variables
Schutz The Schutz correlation matrix example from Shapiro and ten Berge
peas Galton`s Peas
glb.algebraic Find the greatest lower bound to reliability. How well does the factor model fit a correlation matrix. Part of the VSS package
kaiser Apply the Kaiser normalization when rotating factors
cohen.kappa Find Cohen's kappa and weighted kappa coefficients for correlation of two raters
factor.model Find R = F F' + U2 is the basic factor model
ellipses Plot data and 1 and 2 sigma correlation ellipses
Tucker 9 Cognitive variables discussed by Tucker and Lewis (1973)
phi Find the phi coefficient of correlation between two dichotomous variables
principal Principal components analysis (PCA)
make.keys Create a keys matrix for use by score.items or cluster.cor
outlier Find and graph Mahalanobis squared distances to detect outliers
VSS.plot Plot VSS fits
p.rep Find the probability of replication for an F, t, or r and estimate effect size
mat.sort Sort the elements of a correlation matrix to reflect factor loadings
matrix.addition A function to add two vectors or matrices
score.alpha Score scales and find Cronbach's alpha as well as associated statistics
VSS.scree Plot the successive eigen values for a scree test
epi Eysenck Personality Inventory (EPI) data for 3570 participants
print.psych Print and summary functions for the psych class
fa.multi Multi level (hierarchical) factor analysis
cities Distances between 11 US cities
sim.VSS create VSS like data
scoreOverlap Find correlations of composite variables (corrected for overlap) from a larger matrix. cluster Fit: fit of the cluster model to a correlation matrix
cluster.loadings Find item by cluster correlations, corrected for overlap and reliability
factor.congruence Coefficient of factor congruence
residuals.psych Extract residuals from various psych objects
reverse.code Reverse the coding of selected items prior to scale analysis
sim.anova Simulate a 3 way balanced ANOVA or linear model, with or without repeated measures.
mediate Estimate and display direct and indirect effects of mediators and moderator in path models
factor2cluster Extract cluster definitions from factor loadings
structure.list Create factor model matrices from an input list
iclust.diagram Draw an ICLUST hierarchical cluster structure diagram
Utility Useful utility functions for file/directory exploration and manipulation.
income US family income from US census 2008
superMatrix Form a super matrix from two sub matrices.
logistic 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
mssd Find von Neuman's Mean Square of Successive Differences
multi.hist Multiple histograms with density and normal fits on one page
sai State Anxiety data from the PMC lab over multiple occasions.
scoreIrt Find Item Response Theory (IRT) based scores for dichotomous or polytomous items
sat.act 3 Measures of ability: SATV, SATQ, ACT
paired.r Test the difference between (un)paired correlations
setCor Set Correlation and Multiple Regression from matrix or raw input
pairs.panels SPLOM, histograms and correlations for a data matrix
sim Functions to simulate psychological/psychometric data.
parcels Find miniscales (parcels) of size 2 or 3 from a set of items
spi A sample from the SAPA Personality Inventory including an item dictionary and scoring keys.
scoreItems Score item composite scales and find Cronbach's alpha, Guttman lambda 6 and item whole correlations
statsBy Find statistics (including correlations) within and between groups for basic multilevel analyses
cosinor Functions for analysis of circadian or diurnal data
spider Make "radar" or "spider" plots.
pairwiseCount Count number of pairwise cases for a data set with missing (NA) data and impute values.
structure.diagram Draw a structural equation model specified by two measurement models and a structural model
plot.psych Plotting functions for the psych package of class ``psych"
partial.r Find the partial correlations for a set (x) of variables with set (y) removed.
table2matrix Convert a table with counts to a matrix or data.frame representing those counts.
winsor Find the Winsorized scores, means, sds or variances for a vector, matrix, or data.frame
Tal_Or Data set testing causal direction in presumed media influence
test.irt A simple demonstration (and test) of various IRT scoring algorthims.
withinBetween An example of the distinction between within group and between group correlations
test.psych Testing of functions in the psych package
polychor.matrix Phi or Yule coefficient matrix to polychoric coefficient matrix
polar Convert Cartesian factor loadings into polar coordinates
predict.psych Prediction function for factor analysis or principal components
scaling.fits Test the adequacy of simple choice, logistic, or Thurstonian scaling.
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.
mardia Calculate univariate or multivariate (Mardia's test) skew and kurtosis for a vector, matrix, or data.frame
draw.tetra Draw a correlation ellipse and two normal curves to demonstrate tetrachoric correlation
dummy.code Create dummy coded variables
smc Find the Squared Multiple Correlation (SMC) of each variable with the remaining variables in a matrix
testRetest Find various test-retest statistics, including test, person and item reliability
tetrachoric Tetrachoric, polychoric, biserial and polyserial correlations from various types of input
factor.residuals R* = R- F F'
scatterHist Draw a scatter plot with associated X and Y histograms, densities and correlation
sim.congeneric Simulate a congeneric data set
sim.hierarchical Create a population or sample correlation matrix, perhaps with hierarchical structure.
sim.item Generate simulated data structures for circumplex, spherical, or simple structure
sim.multilevel Simulate multilevel data with specified within group and between group correlations
thurstone Thurstone Case V scaling
tr Find the trace of a square matrix
interp.median Find the interpolated sample median, quartiles, or specific quantiles for a vector, matrix, or data frame
factor.rotate ``Hand" rotate a factor loading matrix
unidim Several indices of the unidimensionality of a set of variables.
vegetables Paired comparison of preferences for 9 vegetables
iqitems 16 multiple choice IQ items
irt.1p 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
multilevel.reliability Find and plot various reliability/gneralizability coefficients for multilevel data
neo NEO correlation matrix from the NEO_PI_R manual
r.test Tests of significance for correlations
rangeCorrection Correct correlations for restriction of range. (Thorndike Case 2)
read.file Shortcuts for reading from the clipboard or a file
rescale Function to convert scores to ``conventional " metrics
sim.structure Create correlation matrices or data matrices with a particular measurement and structural model
simulation.circ Simulations of circumplex and simple structure
AUC Decision Theory measures of specificity, sensitivity, and d prime
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Date 2018-10-24
License GPL (>= 2)
LazyData true
ByteCompile TRUE
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Packaged 2018-10-30 20:28:29 UTC; wr
Repository CRAN
Date/Publication 2018-10-31 11:10:03 UTC

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