12 variables created by Schmid and Leiman to show the Schmid-Leiman Transformation
Draw an ICLUST graph using the Rgraphviz package
25 Personality items representing 5 factors
Draw pairs of bargraphs based on two groups
Functions for analysis of circadian or diurnal data
Helper functions for drawing path model diagrams
Function to form hierarchical cluster analysis of items
Smooth a non-positive definite correlation matrix to make it positive definite
Sort items by absolute size of cluster loadings
Extract cluster definitions from factor loadings
Perform bifactor, promax or targeted rotations and return the inter factor angles.
Apply the Very Simple Structure and MAP criteria to determine the appropriate number of factors.
Convert base rates of two diagnoses and their comorbidity into phi, Yule, and tetrachorics
Draw biplots of factor or component scores by factor or component loadings
Simulate the C(ues) T(endency) A(ction) model of motivation
A package for personality, psychometric, and psychological research
Find correlations of composite variables from a larger matrix
Correlations of eight physical variables (from Harman, 1966)
Bock and Liberman (1970) data set of 1000 observations of the LSAT
Plot factor/cluster loadings and assign items to clusters by their highest loading.
Convert eigen vectors and eigen values to the more normal (for psychologists) component loadings
Two data sets from Harman (1967). 9 cognitive variables from Holzinger and 8 emotional variables from Burt
9 Cognitive variables discussed by Tucker and Lewis (1973)
Example data set from Gorsuch (1997) for an example factor extension.
Prediction function for factor analysis or principal components
Apply four tests of circumplex versus simple structure
How well does the factor model fit a correlation matrix. Part of the VSS package
Various ways to estimate factor scores for the factor analysis model
Plot x and y error bars
Count number of pairwise cases for a data set with missing (NA) data.
Plot data and 1 and 2 sigma correlation ellipses
Find the Standard deviation for a vector, matrix, or data.frame - do not return error if there are no cases
Basic summary statistics by group
Draw a correlation ellipse and two normal curves to demonstrate tetrachoric correlation
Convert Cartesian factor loadings into polar coordinates
Draw an ICLUST hierarchical cluster structure diagram
Bartlett's test that a correlation matrix is an identity matrix
11 emotional variables from Burt (1915)
Galton's Mid parent child height data
Bond's Logical Operations Test -- BLOT
Item Response Analysis by Exploratory Factor Analysis of tetrachoric/polychoric correlations
Plot VSS fits
Sort factor analysis or principal components analysis loadings
Find the Kaiser, Meyer, Olkin Measure of Sampling Adequacy
``Hand" rotate a factor loading matrix
Find two estimates of reliability: Cronbach's alpha and Guttman's Lambda 6.
Item Response Theory estimate of theta (ability) using a Rasch (like) model
Apply Dwyer's factor extension to find factor loadings for extended variables
Find dis-attenuated correlations given correlations and reliabilities
Two way plots of means, error bars, and sample sizes
Graph hierarchical factor structures
Thurstone Case V scaling
Compare real and random VSS solutions
Logistic transform from x to p and logit transform from p to x
5 socio-economic variables from Harman (1967)
shortcut for reading from the clipboard
Test the adequacy of simple choice, logistic, or Thurstonian scaling.
The sample size weighted correlation may be used in correlating aggregated data
Find miniscales (parcels) of size 2 or 3 from a set of items
A utility for basic data cleaning and recoding. Changes values outside of minimum and maximum limits to NA.
Find the correlations, sample sizes, and probability values between elements of a matrix or data.frame.
Combine calls to head and tail
Plot means and confidence intervals
Make "radar" or "spider" plots.
Find the Winsorized scores, means, sds or variances for a vector, matrix, or data.frame
Print and summary functions for the psych class
Alternative estimates of test reliabiity
Find the probability of replication for an F, t, or r and estimate effect size
A function to add two vectors or matrices
An example of the distinction between within group and between group correlations
Draw a structural equation model specified by two measurement models and a structural model
A data set from Cushny and Peebles (1905) on the effect of three drugs on hours of sleep, used by Student (1908)
Testing of functions in the psych package
A data.frame of the Galton (1888) height and cubit data set.
Convert a cluster vector (from e.g., kmeans) to a keys matrix suitable for scoring item clusters.
Simulate multilevel data with specified within group and between group correlations
Distances between 11 US cities
Multiple histograms with density and normal fits on one page
Bootstrapped confidence intervals for raw and composite correlations
R* = R- F F'
Find the interpolated sample median, quartiles, or specific quantiles for a vector, matrix, or data frame
Find a Full Information Maximum Likelihood (FIML) correlation or covariance matrix from a data matrix with missing data
Generate simulated data structures for circumplex, spherical, or simple structure
Find the harmonic mean of a vector, matrix, or columns of a data.frame
Apply the Kaiser normalization when rotating factors
Plot probability of multiple choice responses as a function of a latent trait
Find the greatest lower bound to reliability.
Galton's example of the relationship between height and 'cubit' or forearm length
Find the phi coefficient of correlation between two dichotomous variables
Find item by cluster correlations, corrected for overlap and reliability
16 multiple choice IQ items
Find the geometric mean of a vector or columns of a data.frame.
Chi square tests of whether a single matrix is an identity matrix, or a pair of matrices are equal.
Create a keys matrix for use by score.items or cluster.cor
Create factor model matrices from an input list
Calculate McDonald's omega estimates of general and total factor saturation
Plotting functions for the psych package of class ``psych"
Functions to simulate psychological/psychometric data.
Simulate a congeneric data set
Find von Neuman's Mean Square of Successive Differences
Create correlation matrices or data matrices with a particular measurement and structural model
Convert a phi coefficient to a tetrachoric correlation
create control code for ICLUST graphical output
Score multiple choice items and provide basic test statistics
8 cognitive variables used by Dwyer for an example.
Find the partial correlations for a set (x) of variables with set (y) removed.
Test the difference between (un)paired correlations
Simple function to estimate item difficulties using IRT concepts
Find Item Response Theory (IRT) based scores for dichotomous or polytomous items
NEO correlation matrix from the NEO_PI_R manual
US family income from US census 2008
SPLOM, histograms and correlations for a data matrix
Tests of significance for correlations
Create a block randomized structure for n independent variables
iclust: Item Cluster Analysis -- Hierarchical cluster analysis using psychometric principles
A simple demonstration of the Pearson, phi, and polychoric corelation
Principal components analysis (PCA)
Plot the successive eigen values for a scree test
Create dummy coded variables
Form a super matrix from two sub matrices.
Plot means and confidence intervals for multiple groups
Convert a data frame, correlation matrix, or factor analysis output to a LaTeX table
Draw a scatter plot with associated X and Y histograms, densitie and correlation
Phi or Yule coefficient matrix to polychoric coefficient matrix
Two data sets of affect and arousal scores as a function of personality and movie conditions
Simulate a 3 way balanced ANOVA or linear model, with or without repeated measures.
Set Correlation and Multiple Regression from matrix or raw input
Fisher r to z and z to r and confidence intervals
Calculate univariate or multivariate (Mardia's test) skew and kurtosis for a vector, matrix, or data.frame
Basic descriptive statistics useful for psychometrics
Seven data sets showing a bifactor solution.
Find correlations for mixtures of continuous, polytomous, and dichotomous variables
Find the Squared Multiple Correlation (SMC) of each variable with the remaining variables in a matrix
Convert correlations to distances (necessary to do multidimensional scaling of correlation data)
Score scales and find Cronbach's alpha as well as associated statistics
Find the trace of a square matrix
Reverse the coding of selected items prior to scale analysis
Create a population or sample correlation matrix, perhaps with hierarchical structure.
Paired comparison of preferences for 9 vegetables
Find Cohen's kappa and weighted kappa coefficients for correlation of two raters
13 personality scales from the Eysenck Personality Inventory and Big 5 inventory
Graph factor loading matrices
Combine two square matrices to have a lower off diagonal for one, upper off diagonal for the other
Galton`s Peas
Tetrachoric, polychoric, biserial and polyserial correlations from various types of input
Sort the elements of a correlation matrix to reflect factor loadings
Score item composite scales and find Cronbach's alpha, Guttman lambda 6 and item whole correlations
Extract residuals from various psych objects
Find various goodness of fit statistics for factor analysis and principal components
Scree plots of data or correlation matrix compared to random ``parallel" matrices
Convert a table with counts to a matrix or data.frame representing those counts.
75 mood items from the Motivational State Questionnaire for 3896 participants
3 Measures of ability: SATV, SATQ, ACT
Exploratory Factor analysis using MinRes (minimum residual) as well as EFA by Principal Axis, Weighted Least Squares or Maximum Likelihood
Find statistics (including correlations) within and between groups for basic multilevel analyses
Simulations of circumplex and simple structure
Find R = F F' + U2 is the basic factor model
Coefficient of factor congruence
Correct correlations for restriction of range. (Thorndike Case 2)
Intraclass Correlations (ICC1, ICC2, ICC3 from Shrout and Fleiss)
cluster Fit: fit of the cluster model to a correlation matrix
create VSS like data
Function to convert scores to ``conventional
" metrics
Eight political variables used by Harman (1967) as example 8.17
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.
Create an image plot for a correlation or factor matrix
Miscellaneous helper functions for the psych package