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