psych v1.1.11


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by William Revelle

Procedures for Psychological, Psychometric, and Personality Research

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. Item Response Theory is done using factor analysis of tetrachoric and polychoric correlations. Functions for simulating 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 psychometrics as well as publications in personality research. For more information, see the webpage.

Functions in psych

Name Description
principal Principal components analysis
cluster.loadings Find item by cluster correlations, corrected for overlap and reliability
plot.psych Plotting functions for the psych package of class ``psych"
correct.cor Find dis-attenuated correlations given correlations and reliabilities
SD Find the Standard deviation for a vector, matrix, or data.frame - do not return error if there are no cases
block.random Create a block randomized structure for n independent variables
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.
cities Distances between 11 US cities
corr.test Find the correlations, sample sizes, and probability values between elements of a matrix or data.frame.
Harman.8 Correlations of eight physical variables (from Harman, 1966)
VSS.scree Plot the successive eigen values for a scree test
error.crosses Plot x and y error bars
bfi 25 Personality items representing 5 factors
Dwyer 8 cognitive variables used by Dwyer for an example.
cor.smooth Smooth a non-positive definite correlation matrix to make it positive definite
winsor Find the Winsorized scores, means, sds or variances for a vector, matrix, or data.frame
epi.bfi 13 personality scales from the Eysenck Personality Inventory and Big 5 inventory
Tucker 9 Cognitive variables discussed by Tucker and Lewis (1973)
make.keys Create a keys matrix for use by score.items or cluster.cor
cortest.mat Chi square tests of whether a single matrix is an identity matrix, or a pair of matrices are equal.
Gorsuch Example data set from Gorsuch (1997) for an example factor extension.
factor.model Find R = F F' + U2 is the basic factor model
iclust iclust: Item Cluster Analysis -- Hierarchical cluster analysis using psychometric principles
ICC Intraclass Correlations (ICC1, ICC2, ICC3 from Shrout and Fleiss)
msq 75 mood items from the Motivational State Questionnaire for 3896 participants
blot Bond's Logical Operations Test -- BLOT
cosinor Functions for analysis of circadian or diurnal data
Schmid 12 variables created by Schmid and Leiman to show the Schmid-Leiman Transformation
ICLUST.sort Sort items by absolute size of cluster loadings
df2latex Convert a data frame or matrix to a LaTeX table
mixed.cor Find correlations for mixtures of continuous, polytomous, and dichotomous variables
comorbidity Convert base rates of two diagnoses and their comorbidity into phi, Yule, and tetrachorics
vegetables Paired comparison of preferences for 9 vegetables
score.irt Find Item Response Theory (IRT) based scores for dichotomous or polytomous items
glb.algebraic Find the greatest lower bound to reliability.
table2matrix Convert a table with counts to a matrix or data.frame representing those counts.
Bechtoldt Seven data sets showing a bifactor solution.
phi.demo A simple demonstration of the Pearson, phi, and polychoric corelation
sim.item Generate simulated data structures for circumplex or simple structure cluster Fit: fit of the cluster model to a correlation matrix
Harman Two data sets from Harman (1967). 9 cognitive variables from Holzinger and 8 emotional variables from Burt
VSS.parallel Compare real and random VSS solutions
tetrachoric Tetrachoric, polychoric, biserial and polyserial correlations from various types of input
cor2dist Convert correlations to distances (necessary to do multidimensional scaling of correlation data)
thurstone Thurstone Case V scaling
affect Two data sets of affect and arousal scores as a function of personality and movie conditions
factor.residuals R* = R- F F'
pairs.panels SPLOM, histograms and correlations for a data matrix
ICLUST.rgraph Draw an ICLUST graph using the Rgraphviz package
factor.congruence Coefficient of factor congruence
matrix.addition A function to add two vectors or matrices
eigen.loadings Convert eigen vectors and eigen values to the more normal (for psychologists) component loadings
sim.VSS create VSS like data
factor.rotate ``Hand" rotate a factor loading matrix
bi.bars Draw pairs of bargraphs based on two groups
circ.tests Apply four tests of circumplex versus simple structure
cushny A data set from Cushny and Peebles (1905) on the effect of three drugs on hours of sleep, used by Student (1908)
heights A data.frame of the Galton (1888) height and cubit data set.
VSS.plot Plot VSS fits
biplot.psych Draw biplots of factor or component scores by factor or component loadings
alpha Find two estimates of reliability: Cronbach's alpha and Guttman's Lambda 6.
dummy.code Create dummy coded variables
cor.plot Create an image plot for a correlation or factor matrix
draw.tetra Draw a correlation ellipse and two normal curves to demonstrate tetrachoric correlation How well does the factor model fit a correlation matrix. Part of the VSS package
interp.median Find the interpolated sample median, quartiles, or specific quantiles for a vector, matrix, or data frame
logistic Logistic transform from x to p and logit transform from p to x
paired.r Test the difference between (un)paired correlations
describe Basic descriptive statistics useful for psychometrics
factor2cluster Extract cluster definitions from factor loadings
cubits Galton's example of the relationship between height and 'cubit' or forearm length
ICLUST.cluster Function to form hierarchical cluster analysis of items
fa.sort Sort factor analysis or principal components analysis loadings
ICLUST.graph create control code for ICLUST graphical output
cluster.cor Find correlations of composite variables from a larger matrix
VSS Apply the Very Simple Structure and MAP criteria to determine the appropriate number of factors.
fa.diagram Graph factor loading matrices
irt.item.diff.rasch Simple function to estimate item difficulties using IRT concepts
galton Galton's Mid parent child height data
guttman Alternative estimates of test reliabiity
00.psych A package for personality, psychometric, and psychological research
irt.fa Item Response Analysis by factor analysis of tetrachoric/polychoric correlations
omega Calculate McDonald's omega estimates of general and total factor saturation
print.psych Print and summary functions for the psych class
omega.graph Graph hierarchical factor structures
rescale Function to convert scores to ``conventional " metrics
predict.psych Prediction function for factor analysis or principal components
headtail Combine calls to head and tail
cluster2keys Convert a cluster vector (from e.g., kmeans) to a keys matrix suitable for scoring item clusters.
harmonic.mean Find the harmonic mean of a vector, matrix, or columns of a data.frame
burt 11 emotional variables from Burt (1915)
structure.diagram Draw a structural equation model specified by two measurement models and a structural model
simulation.circ Simulations of circumplex and simple structure
read.clipboard shortcut for reading from the clipboard
mardia Calculate univariate or multivariate (Mardia's test) skew and kurtosis for a vector, matrix, or data.frame
mat.sort Sort the elements of a correlation matrix to reflect factor loadings
iqitems 14 multiple choice IQ items Plot means and confidence intervals for multiple groups
r.test Tests of significance for correlations
tr Find the trace of a square matrix
fa.extension Apply Dwyer's factor extension to find factor loadings for extended variables
polychor.matrix Phi or Yule coefficient matrix to polychoric coefficient matrix
peas Galton`s Peas
sim.hierarchical Create a population or sample correlation matrix, perhaps with hierarchical structure.
error.bars Plot means and confidence intervals
multi.hist Multiple histograms with density and normal fits on one page
reverse.code Reverse the coding of selected items prior to scale analysis
neo NEO correlation matrix from the NEO_PI_R manual
sat.act 3 Measures of ability: SATV, SATQ, ACT Basic summary statistics by group
phi2poly Convert a phi coefficient to a polychoric correlation
fa.parallel Scree plots of data or correlation matrix compared to random ``parallel" matrices
parcels Find miniscales (parcels) of size 2 or 3 from a set of items
cohen.kappa Find Cohen's kappa and weighted kappa coefficients for correlation of two raters
scatter.hist Draw a scatter plot with associated X and Y histograms, densitie and correlation
score.items Score item composite scales and find Cronbach's alpha, Guttman lambda 6 and item whole correlations
sim.structure Create correlation matrices or data matrices with a particular measurement and structural model
score.alpha Score scales and find Cronbach's alpha as well as associated statistics
fisherz Fisher r to z and z to r and confidence intervals
Promax Perform bifactor, promax or targeted rotations and return the inter factor angles.
scaling.fits Test the adequacy of simple choice, logistic, or Thurstonian scaling.
p.rep Find the probability of replication for an F, t, or r and estimate effect size
spider Make "radar" or "spider" plots.
sim.congeneric Simulate a congeneric data set
income US family income from US census 2008
cta Simulate the C(ues) T(endency) A(ction) model of motivation
kaiser Apply the Kaiser normalization when rotating factors
factor.scores Various ways to estimate factor scores for the factor analysis model
polar Convert Cartesian factor loadings into polar coordinates
score.multiple.choice Score multiple choice items and provide basic test statistics
test.psych Testing of functions in the psych package
factor.stats Find various goodness of fit statistics for factor analysis and principal components
rangeCorrection Correct correlations for restriction of range. (Thorndike Case 2)
iclust.diagram Draw an ICLUST hierarchical cluster structure diagram
fa MinRes (minimum residual) Factor analysis as well as Factor Analysis by Principal Axis, Weighted Least Squares or Maximum Likelihood
bock Bock and Liberman (1970) data set of 1000 observations of the LSAT
count.pairwise Count number of pairwise cases for a data set with missing (NA) data.
ellipses Plot data and 1 and 2 sigma correlation ellipses
phi Find the phi coefficient of correlation between two dichotomous variables
diagram Helper functions for drawing path model diagrams
scrub A utility for basic data cleaning and recoding. Changes values outside of minimum and maximum limits to NA.
sim.anova Simulate a 3 way balanced ANOVA or linear model, with or without repeated measures.
geometric.mean Find the geometric mean of a vector or columns of a data.frame.
cluster.plot Plot factor/cluster loadings and assign items to clusters by their highest loading.
cortest.bartlett Bartlett's test that a correlation matrix is an identity matrix
sim Functions to simulate psychological/psychometric data.
irt.1p Item Response Theory estimate of theta (ability) using a Rasch (like) model
set.cor Set Correlation and Multiple Regression from raw or matrix input
super.matrix Form a super matrix from two sub matrices.
partial.r Find the partial correlations for a set (x) of variables with set (y) removed.
smc Find the Squared Multiple Correlation (SMC) of each variable with the remaining variables in a matrix
structure.list Create factor model matrices from an input list
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Date 2011-11-01
License GPL (>= 2)
LazyData true
Packaged 2011-10-28 18:39:40 UTC; revelle
Repository CRAN
Date/Publication 2011-11-02 17:26:25

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