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
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.
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
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
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
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.
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
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
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
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
Galton`s Peas
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
Plot VSS fits
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)
R* = R- F F'
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
A function to add two vectors or matrices
Test the difference between (un)paired correlations
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 items and provide basic test statistics
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