probcubp0: Probability distribution of a CUB model with covariates for... In CUB: A Class of Mixture Models for Ordinal Data

Description

Compute the probability distribution of a CUB model with covariates for the uncertainty component.

Usage

 `1` ```probcubp0(m,ordinal,Y,bet,csi) ```

Arguments

 `m` Number of ordinal categories `ordinal` Vector of ordinal responses `Y` Matrix of covariates for explaining the uncertainty component `bet` Vector of parameters for the uncertainty component, whose length equals NCOL(Y) + 1 to include an intercept term in the model (first entry) `csi` Feeling parameter

Value

A vector of the same length as `ordinal`, whose i-th component is the probability of the i-th observation according to a CUB model with the corresponding values of the covariates for the uncertainty component and coefficients for the covariates specified in `bet`.

References

Piccolo D. (2006). Observed Information Matrix for MUB Models, Quaderni di Statistica, 8, 33–78
Piccolo D. and D'Elia A. (2008). A new approach for modelling consumers' preferences, Food Quality and Preference, 18, 247–259
Iannario M. and Piccolo D. (2012). CUB models: Statistical methods and empirical evidence, in: Kenett R. S. and Salini S. (eds.), Modern Analysis of Customer Surveys: with applications using R, J. Wiley and Sons, Chichester, 231–258

`bitgama`, `probcub00`, `probcubpq`, `probcub0q`
 ```1 2 3 4 5 6 7 8 9``` ```data(relgoods) m<-10 naord<-which(is.na(relgoods\$Physician)) nacov<-which(is.na(relgoods\$Gender)) na<-union(naord,nacov) ordinal<-relgoods\$Physician[-na] Y<-relgoods\$Gender[-na] bet<-c(-0.81,0.93); csi<-0.20 probi<-probcubp0(m,ordinal,Y,bet,csi) ```