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CUB (version 1.1.5)

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)

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

Arguments

m

Integer: number of ordinal categories

ordinal

Vector of ordinal responses

covar1

Vector of the first covariate values for explaining the feeling component

covar2

Vector of the second covariate values for explaining the feeling component

pai

Uncertainty parameter

gama

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

References

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