probcubshe3 function

probcubshe3

Probability distribution of a CUB model with explicit shelter effect: satisficing interpretation

probcubshe3(m,lambda,eta,csi,shelter)

Arguments

• m: Number of ordinal categories
• lambda: Mixing coefficient for the shifted Binomial component
• eta: Mixing coefficient for the mixture of the uncertainty component and the shelter effect
• csi: Feeling parameter
• shelter: Category corresponding to the shelter choice

Returns

The vector of the probability distribution of a CUB model with shelter effect.

Details

The "satisficing interpretation" provides a parametrization for CUB models with explicit shelter effect as a mixture of two components: a shifted Binomial distribution with feeling parameter $\xi$ (meditated choice), and a mixture of a degenerate distribution with unit mass at the shelter category (shelter) and a discrete uniform distribution over $m$ categories, with mixing coefficient specified by $\eta$ (lazy selection of a category).

Examples

m<-8
pai1<-0.5
pai2<-0.3
csi<-0.4
shelter<-6
lambda<-pai1
eta<-1-pai2/(1-pai1)
pr3<-probcubshe3(m,lambda,eta,csi,shelter)
plot(1:m,pr3,type="h",main="CUB probability distribution with explicit 
shelter effect",xlab="Ordinal categories")
points(1:m,pr3,pch=19)

References

Iannario M. (2012). Modelling shelter choices in a class of mixture models for ordinal responses, Statistical Methods and Applications, 21 , 1--22

See Also

probcubshe1, probcubshe2