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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 <https://personality-project.org/r> web page.

Functions in psych

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

Name
intro.Rnw
overview.Rnw
psych_for_sem.Rnw
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Details

Date 2018-12-31
License GPL (>= 2)
LazyData true
ByteCompile TRUE
URL https://personality-project.org/r/psych https://personality-project.org/r/psych-manual.pdf
NeedsCompilation no
Packaged 2019-01-12 15:49:51 UTC; WR
Repository CRAN
Date/Publication 2019-01-12 23:32:14 UTC

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