Constrained Dual Scaling for Detecting Response Styles
Augment with Boundaries Between Rating Scale Categories and Rank
Low Rank Approximation LL' of a Square Symmetrix Matrix R
Calculate the Weights for Bubble Plots
Constrained Dual Scaling for Successive Categories
Constrained Dual Scaling for Successive Categories with Groups
Grouped Simulation with Response Styles
S3 Methods for Integration into clue
Framework
Impute Optimal Scores for Rating Categories
Create Indicator Matrix
Create a response style
Create a cdsdata Object
Simulate Data for a Single Response Style
Constrained Dual Scaling for a Single Random G Start
Generate a Copula
Generate PCA data and Calculates Correlation Matrices
Alternating Least Squares with Groups for Constrained Dual Scaling
Create an Indicator Matrix
Quadratic monotone spline basis function for given knots.
Calculate Loss for G Update
Calculate Constrained Dual Scaling Loss
Orthogonal Procrustes Analysis
Plot cds Objects
Plot a cdslist
Object
Print cds Object
Print dsdata Objects
Randomly Generate Low-Rank Correlation Matrix
Construct a Structured Covariance Matrix for Simulations
Simulate Data with a Specific Principal Components Structure and Respo...
Truncated Normal Quantiles
Truncated Normal Sampling
Update the Grouping Matrix
This is an implementation of constrained dual scaling for detecting response styles in categorical data, including utility functions. The procedure involves adding additional columns to the data matrix representing the boundaries between the rating categories. The resulting matrix is then doubled and analyzed by dual scaling. One-dimensional solutions are sought which provide optimal scores for the rating categories. These optimal scores are constrained to follow monotone quadratic splines. Clusters are introduced within which the response styles can vary. The type of response style present in a cluster can be diagnosed from the optimal scores for said cluster, and this can be used to construct an imputed version of the data set which adjusts for response styles.