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January 12th, 2019
Functions in psych (1.8.12)
Data from the sexism (protest) study of Garcia, Schmitt, Branscome, and Ellemers (2010)
Example data from Gleser, Cronbach and Rajaratnam (1965) to show basic principles of generalizability theory.
Apply the Very Simple Structure, MAP, and other criteria to determine the appropriate number of factors.
create control code for ICLUST graphical output
Find the Standard deviation for a vector, matrix, or data.frame - do not return error if there are no cases
Compare real and random VSS solutions
25 Personality items representing 5 factors
Draw pairs of bargraphs based on two groups
Bond's Logical Operations Test -- BLOT
12 variables created by Schmid and Leiman to show the Schmid-Leiman Transformation
Plot VSS fits
Bock and Liberman (1970) data set of 1000 observations of the LSAT
Convert a cluster vector (from e.g., kmeans) to a keys matrix suitable for scoring item clusters.
Plot the successive eigen values for a scree test
A package for personality, psychometric, and psychological research
Find Cohen d and confidence intervals
Decision Theory measures of specificity, sensitivity, and d prime
The Schutz correlation matrix example from Shapiro and ten Berge
Find the Kaiser, Meyer, Olkin Measure of Sampling Adequacy
Perform Procustes,bifactor, promax or targeted rotations and return the inter factor angles.
11 emotional variables from Burt (1915)
9 Cognitive variables discussed by Tucker and Lewis (1973)
The sample size weighted correlation may be used in correlating aggregated data
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.
12 cognitive variables from Cattell (1963)
16 ability items scored as correct or incorrect.
Two data sets of affect and arousal scores as a function of personality and movie conditions
The Bass-Ackward factoring algorithm discussed by Goldberg
Convert base rates of two diagnoses and their comorbidity into phi, Yule, and tetrachorics
A bootstrap aggregation (bagging) function for choosing most predictive items
Convert correlations to distances (necessary to do multidimensional scaling of correlation data)
Apply four tests of circumplex versus simple structure
Create a 'violin plot' or density plot of the distribution of a set of variables
Find two estimates of reliability: Cronbach's alpha and Guttman's Lambda 6.
Deprecated Exploratory Factor analysis functions. Please use fa
Seven data sets showing a bifactor solution.
Distances between 11 US cities
Convert eigen vectors and eigen values to the more normal (for psychologists) component loadings
Create an image plot for a correlation or factor matrix
Bootstrapped confidence intervals for raw and composite correlations
Find item by cluster correlations, corrected for overlap and reliability
Draw biplots of factor or component scores by factor or component loadings
Plot data and 1 and 2 sigma correlation ellipses
Smooth a non-positive definite correlation matrix to make it positive definite
Plot factor/cluster loadings and assign items to clusters by their highest loading.
Find a Full Information Maximum Likelihood (FIML) correlation or covariance matrix from a data matrix with missing data
Intraclass Correlations (ICC1, ICC2, ICC3 from Shrout and Fleiss)
Find the correlations, sample sizes, and probability values between elements of a matrix or data.frame.
Chi square tests of whether a single matrix is an identity matrix, or a pair of matrices are equal.
Find dis-attenuated correlations given correlations and reliabilities
iclust: Item Cluster Analysis -- Hierarchical cluster analysis using psychometric principles
Find correlations of composite variables (corrected for overlap) from a larger matrix.
Functions for analysis of circadian or diurnal data
Draw an ICLUST graph using the Rgraphviz package
Galton's example of the relationship between height and 'cubit' or forearm length
cluster Fit: fit of the cluster model to a correlation matrix
Exploratory Factor analysis using MinRes (minimum residual) as well as EFA by Principal Axis, Weighted Least Squares or Maximum Likelihood
Graph factor loading matrices
Sort items by absolute size of cluster loadings
How well does the factor model fit a correlation matrix. Part of the VSS package
A 29 x 29 matrix that produces weird factor analytic results
Helper functions for drawing path model diagrams
Draw a correlation ellipse and two normal curves to demonstrate tetrachoric correlation
Find R = F F' + U2 is the basic factor model
A data set from Cushny and Peebles (1905) on the effect of three drugs on hours of sleep, used by Student (1908)
Count number of pairwise cases for a data set with missing (NA) data and impute values.
Plot means and confidence intervals
Simulate the C(ues) T(endency) A(ction) model of motivation
Bartlett's test that a correlation matrix is an identity matrix
Create a block randomized structure for n independent variables
Create dummy coded variables
Plot means and confidence intervals for multiple groups
Two way plots of means, error bars, and sample sizes
8 cognitive variables used by Dwyer for an example.
A data.frame of the Galton (1888) height and cubit data set.
Draw an ICLUST hierarchical cluster structure diagram
US family income from US census 2008
Plot x and y error bars
Basic descriptive statistics useful for psychometrics
Basic summary statistics by group
Multi level (hierarchical) factor analysis
Find the interpolated sample median, quartiles, or specific quantiles for a vector, matrix, or data frame
Sort factor analysis or principal components analysis loadings
Scree plots of data or correlation matrix compared to random ``parallel" matrices
Coefficient of factor congruence
Convert a data frame, correlation matrix, or factor analysis output to a LaTeX table
Transformations of r, d, and t including Fisher r to z and z to r and confidence intervals
Parse and exten formula input from a model and return the DV, IV, and associated terms.
A first approximation to Random Effects Exploratory Factor Analysis
Plot probability of multiple choice responses as a function of a latent trait
R* = R- F F'
Find and plot various reliability/gneralizability coefficients for multilevel data
Sort (order) a dataframe or matrix by multiple columns
Apply the Kaiser normalization when rotating factors
Correlations between two factor analysis solutions
Show a dot.chart with error bars for different groups or variables
Various ways to estimate factor scores for the factor analysis model
Eysenck Personality Inventory (EPI) data for 3570 participants
Find various goodness of fit statistics for factor analysis and principal components
13 personality scales from the Eysenck Personality Inventory and Big 5 inventory
``Hand" rotate a factor loading matrix
Find the greatest lower bound to reliability.
Miscellaneous helper functions for the psych package
Perform and Exploratory Structural Equation Model (ESEM) by using factor extension techniques
Alternative estimates of test reliabiity
Find correlations for mixtures of continuous, polytomous, and dichotomous variables
Phi or Yule coefficient matrix to polychoric coefficient matrix
Galton's Mid parent child height data
Prediction function for factor analysis or principal components
A set of functions for factorial and empirical scale construction
Apply Dwyer's factor extension to find factor loadings for extended variables
State Anxiety data from the PMC lab over multiple occasions.
Find Cohen's kappa and weighted kappa coefficients for correlation of two raters
NEO correlation matrix from the NEO_PI_R manual
Extract cluster definitions from factor loadings
Simple function to estimate item difficulties using IRT concepts
Find the geometric mean of a vector or columns of a data.frame.
Item Response Theory estimate of theta (ability) using a Rasch (like) model
Useful utility functions for file/directory exploration and manipulation.
Find the harmonic mean of a vector, matrix, or columns of a data.frame
Logistic transform from x to p and logit transform from p to x
A function to add two vectors or matrices
"Manhattan" plots of correlations with a set of criteria.
3 Measures of ability: SATV, SATQ, ACT
Combine calls to head and tail
Estimate and display direct and indirect effects of mediators and moderator in path models
Multiple histograms with density and normal fits on one page
Find von Neuman's Mean Square of Successive Differences
75 mood items from the Motivational State Questionnaire for 3896 participants
Find miniscales (parcels) of size 2 or 3 from a set of items
75 mood items from the Motivational State Questionnaire for 3032 unique participants
Find Item Response Theory (IRT) based scores for dichotomous or polytomous items
Find and graph Mahalanobis squared distances to detect outliers
Find the partial correlations for a set (x) of variables with set (y) removed.
Sort the elements of a correlation matrix to reflect factor loadings
Calculate McDonald's omega estimates of general and total factor saturation
A simple demonstration of the Pearson, phi, and polychoric corelation
Graph hierarchical factor structures
16 multiple choice IQ items
Score item composite scales and find Cronbach's alpha, Guttman lambda 6 and item whole correlations
Find the phi coefficient of correlation between two dichotomous variables
Convert a phi coefficient to a tetrachoric correlation
Shortcuts for reading from the clipboard or a file
Function to convert scores to ``conventional " metrics
Item Response Analysis by Exploratory Factor Analysis of tetrachoric/polychoric correlations
Combine two square matrices to have a lower off diagonal for one, upper off diagonal for the other
Generate simulated data structures for circumplex, spherical, or simple structure
Create a keys matrix for use by score.items or cluster.cor
Tests of significance for correlations
Find the probability of replication for an F, t, or r and estimate effect size
Apply the Schmid Leiman transformation to a correlation matrix
Test the adequacy of simple choice, logistic, or Thurstonian scaling.
Draw a scatter plot with associated X and Y histograms, densities and correlation
Principal components analysis (PCA)
Correct correlations for restriction of range. (Thorndike Case 2)
Test the difference between (un)paired correlations
Print and summary functions for the psych class
Score scales and find Cronbach's alpha as well as associated statistics
Create factor model matrices from an input list
Create correlation matrices or data matrices with a particular measurement and structural model
Simulate multilevel data with specified within group and between group correlations
A simple demonstration (and test) of various IRT scoring algorthims.
SPLOM, histograms and correlations for a data matrix
Testing of functions in the psych package
Simulate a 3 way balanced ANOVA or linear model, with or without repeated measures.
create VSS like data
Form a super matrix from two sub matrices.
Find various test-retest statistics, including test, person and item reliability
Thurstone Case V scaling
Tetrachoric, polychoric, biserial and polyserial correlations from various types of input
Multiple Regression and Set Correlation from matrix or raw input
Functions to simulate psychological/psychometric data.
Plotting functions for the psych package of class ``psych"
Convert Cartesian factor loadings into polar coordinates
Extract residuals from various psych objects
Reverse the coding of selected items prior to scale analysis
Score multiple choice items and provide basic test statistics
Find the trace of a square matrix
Calculate univariate or multivariate (Mardia's test) skew and kurtosis for a vector, matrix, or data.frame
A utility for basic data cleaning and recoding. Changes values outside of minimum and maximum limits to NA.
Simulate a congeneric data set
Simulations of circumplex and simple structure
A sample from the SAPA Personality Inventory including an item dictionary and scoring keys.
Make "radar" or "spider" plots.
Find the Squared Multiple Correlation (SMC) of each variable with the remaining variables in a matrix
Convert a table with counts to a matrix or data.frame representing those counts.
Create a population or sample correlation matrix, perhaps with hierarchical structure.
Data set testing causal direction in presumed media influence
Find statistics (including correlations) within and between groups for basic multilevel analyses
Draw a structural equation model specified by two measurement models and a structural model
Several indices of the unidimensionality of a set of variables.
Paired comparison of preferences for 9 vegetables
Find the Winsorized scores, means, sds or variances for a vector, matrix, or data.frame
An example of the distinction between within group and between group correlations
Function to form hierarchical cluster analysis of items
Example data set from Gorsuch (1997) for an example factor extension.
Five data sets from Harman (1967). 9 cognitive variables from Holzinger and 8 emotional variables from Burt