Cusp-Catastrophe Model Fitting Using Maximum Likelihood
Locate Extrema of Cusp Catastrophe Potential Function
Fit a Logistic Surface Model to Data
Calculate the Normalizing Constant of Cobb's Cusp Density
Negative log-likelihood for Cobb's cusp density
Fit a Cusp Catastrophe Model to Data
Generate 3D plot of Cusp Catastrophe Model Fit
Generate 3D plot of the Cusp surface
Cobb's Cusp Distribution
Cusp Catastrophe Modeling
compute normal/symmetry factor borders of bifurcation set of cusp cata...
Add Cusp Bifurcation Set Diagram to Existing Plot
Graphical Diagnostic Display of Cusp Catastrophe Data Fit
Display Fitted Data on Control Plane of Cusp Catastrophe.
Plot Cusp State Variable Densities Conditioned on Control Parameter Va...
Residuals against Fitted Plot for Cusp Model Fit
Predict method for Cusp Model Fits
Summarizing Cusp Catastrophe Model Fits
Calculate Variance-Covariance Matrix for a Fitted Cusp Model Object
Measurements from Zeeman's Catastrophe Machine
Cobb's maximum likelihood method for cusp-catastrophe modeling (Grasman, van der Maas, and Wagenmakers (2009) <doi:10.18637/jss.v032.i08>; Cobb (1981), Behavioral Science, 26(1), 75-78). Includes a cusp() function for model fitting, and several utility functions for plotting, and for comparing the model to linear regression and logistic curve models.