probihgcovn function

Probability distribution of an IHG model with covariates

Given a vector of $n$ ratings over $m$ categories, it returns a vector of length $n$ whose i-th element is the probability of observing the i-th rating for the corresponding IHG model with parameter $\theta_i$, obtained via logistic link with covariates and coefficients.

probihgcovn(m,ordinal,U,nu)

Arguments

• m: Number of ordinal categories
• ordinal: Vector of ordinal responses
• U: Matrix of selected covariates for explaining the preference parameter
• nu: Vector of coefficients for covariates, whose length equals NCOL(U)+1 to include an intercept term in the model (first entry)

Details

The matrix $U$ is expanded with a vector with entries equal to 1 in the first column to include an intercept term in the model.

Examples

n<-100
m<-7
theta<-0.30
ordinal<-simihg(n,m,theta)
U<-sample(c(0,1),n,replace=TRUE)
nu<-c(0.12,-0.5)
pr<-probihgcovn(m,ordinal,U,nu)

See Also

probihg