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psych (version 1.6.12)

Procedures for Psychological, Psychometric, and Personality Research

Description

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 personality-project.org/r web page.

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Install

install.packages('psych')

Monthly Downloads

231,693

Version

1.6.12

License

GPL (>= 2)

Maintainer

William Revelle

Last Published

January 8th, 2017

Functions in psych (1.6.12)

Bond's Logical Operations Test -- BLOT

Draw pairs of bargraphs based on two groups

Seven data sets showing a bifactor solution.

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

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

25 Personality items representing 5 factors

11 emotional variables from Burt (1915)

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

Two data sets of affect and arousal scores as a function of personality and movie conditions

16 ability items scored as correct or incorrect.

Distances between 11 US cities

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

12 cognitive variables from Cattell (1963)

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

Convert base rates of two diagnoses and their comorbidity into phi, Yule, and tetrachorics

Apply four tests of circumplex versus simple structure

cluster.loadings

Find item by cluster correlations, corrected for overlap and reliability

Bootstrapped confidence intervals for raw and composite correlations

Convert a cluster vector (from e.g., kmeans) to a keys matrix suitable for scoring item clusters.

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

A data set from Cushny and Peebles (1905) on the effect of three drugs on hours of sleep, used by Student (1908)

Find dis-attenuated correlations given correlations and reliabilities

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

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

Plot means and confidence intervals for multiple groups

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

cortest.bartlett

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

Plot means and confidence intervals

Basic summary statistics by group

Deprecated Exploratory Factor analysis functions. Please use fa

Eysenck Personality Inventory (EPI) data for 3570 participants

13 personality scales from the Eysenck Personality Inventory and Big 5 inventory

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

Create an image plot for a correlation or factor matrix

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

Galton's example of the relationship between height and 'cubit' or forearm length

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

Plot data and 1 and 2 sigma correlation ellipses

factor.congruence

Coefficient of factor congruence

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

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

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

Example data set from Gorsuch (1997) for an example factor extension.

Draw an ICLUST hierarchical cluster structure diagram

Function to form hierarchical cluster analysis of items

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

Functions for analysis of circadian or diurnal data

Helper functions for drawing path model diagrams

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

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

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

Plot x and y error bars

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

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

Transformations of r including Fisher r to z and z to r and confidence intervals

Combine calls to head and tail

``Hand" rotate a factor loading matrix

Extract cluster definitions from factor loadings

Various ways to estimate factor scores for the factor analysis model

create control code for ICLUST graphical output

Apply the Kaiser normalization when rotating factors

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

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

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

US family income from US census 2008

Tests of significance for correlations

Find the phi coefficient of correlation between two dichotomous variables

Sort the elements of a correlation matrix to reflect factor loadings

Find the interpolated sample median, quartiles, or specific quantiles for a vector, matrix, or data frame

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

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

Function to convert scores to ``conventional " metrics

Shortcuts for reading from the clipboard or a file

rangeCorrection

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

75 mood items from the Motivational State Questionnaire for 3896 participants

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

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

Form a super matrix from two sub matrices.

Find von Neuman's Mean Square of Successive Differences

Convert Cartesian factor loadings into polar coordinates

polychor.matrix

Phi or Yule coefficient matrix to polychoric coefficient matrix

3 Measures of ability: SATV, SATQ, ACT

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

Test the adequacy of simple choice, logistic, or Thurstonian scaling.

sim.hierarchical

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

Simulate a congeneric data set

Make "radar" or "spider" plots.

Testing of functions in the psych package

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

Paired comparison of preferences for 9 vegetables

Draw an ICLUST graph using the Rgraphviz package

Sort items by absolute size of cluster loadings

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

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

Find and graph Mahalanobis squared distances to detect outliers

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

Apply the Schmid Leiman transformation to a correlation matrix

Convert a phi coefficient to a tetrachoric correlation

Draw a scatter plot with associated X and Y histograms, densitie and correlation

Set Correlation and Multiple Regression from matrix or raw input

structure.diagram

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

Simulate a 3 way balanced ANOVA or linear model, with or without repeated measures.

Create factor model matrices from an input list

Sort factor analysis or principal components analysis loadings

9 Cognitive variables discussed by Tucker and Lewis (1973)

Find the trace of a square matrix

Harman.political

Eight political variables used by Harman (1967) as example 8.17

Two data sets from Harman (1967). 9 cognitive variables from Holzinger and 8 emotional variables from Burt

Find the Kaiser, Meyer, Olkin Measure of Sampling Adequacy

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

Graph hierarchical factor structures

Graph factor loading matrices

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

Galton's Mid parent child height data

irt.item.diff.rasch

Simple function to estimate item difficulties using IRT concepts

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

16 multiple choice IQ items

Find the partial correlations for a set (x) of variables with set (y) removed.

NEO correlation matrix from the NEO_PI_R manual

Multiple histograms with density and normal fits on one page

Prediction function for factor analysis or principal components

Principal components analysis (PCA)

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.

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

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

The Schutz correlation matrix example from Shapiro and ten Berge

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

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

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

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

Compare real and random VSS solutions

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

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

Sort (order) a dataframe or matrix by multiple columns

Convert a data frame, correlation matrix, or factor analysis output to a LaTeX table

Create dummy coded variables

8 cognitive variables used by Dwyer for an example.

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

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

A data.frame of the Galton (1888) height and cubit data set.

Correlations of eight physical variables (from Harman, 1966)

factor.residuals

5 socio-economic variables from Harman (1967)

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

Item Response Theory estimate of theta (ability) using a Rasch (like) model

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

matrix.addition

A function to add two vectors or matrices

Test the difference between (un)paired correlations

residuals.psych

Extract residuals from various psych objects

Print and summary functions for the psych class

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

Reverse the coding of selected items prior to scale analysis

SPLOM, histograms and correlations for a data matrix

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

score.multiple.choice

Score multiple choice items and provide basic test statistics

simulation.circ

Simulations of circumplex and simple structure

create VSS like data

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

Thurstone Case V scaling

Plot the successive eigen values for a scree test

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