CUB (version 0.1)

chi2cub2cov: Pearson $X^2$ statistic for CUB models with one discrete covariate for feeling

Description

Compute the $X^2$ statistic of Pearson for the goodness of fit of a CUB model for ordinal responses, where the feeling parameter is explained via a logistic transform of the only discrete covariate. It groups ratings in classes according to the values of the covariate.

Usage

chi2cub2cov(m, ordinal, covar1, covar2, pai, gama)

Arguments

m

Integer: number of ordinal categories

ordinal

Vector of ordinal responses

pai

Uncertainty parameter

gama

Vector of parameters for the feeling component, with length equal to 2 to account for an intercept term (first entry)

covar

Vector of the selected covariate for explaining the feeling component

Value

It returns the following results in a list:

df

Number of degrees of freedom

chi2

Value of the Pearson fitting measure

dev

Deviance indicator

References

Tutz, G. (2011). Regression for categorical data, Cambridge Series in Statistical and Probabilistic Mathematics