probcubp0 function

Probability distribution of a CUB model with covariates for the uncertainty component

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

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

Returns

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.

Examples

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)

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

See Also

bitgama, probcub00, probcubpq, probcub0q