# psych v1.1.11

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## 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 personality-project.org/r 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 | 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 | |

factor.fit | 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 | |

error.bars.by | 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 | |

describe.by | 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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## Last month downloads

## Details

Date | 2011-11-01 |

License | GPL (>= 2) |

LazyData | true |

URL | http://personality-project.org/r, http://personality-project.org/r/psych.manual.pdf |

Packaged | 2011-10-28 18:39:40 UTC; revelle |

Repository | CRAN |

Date/Publication | 2011-11-02 17:26:25 |

suggests | GPArotation , graph , lavaan , MASS , mvtnorm , polycor , Rcsdp , Rgraphviz , sem |

Contributors | William Revelle |

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