chi2cub function

Pearson $X^2$ statistic

Compute the $X^2$ statistic of Pearson for CUB models with one or two discrete covariates for the feeling component.

chi2cub(m,ordinal,W,pai,gama)

Arguments

• m: Number of ordinal categories
• ordinal: Vector of ordinal responses
• W: Matrix of covariates for the feeling component
• pai: Uncertainty parameter
• gama: Vector of parameters for the feeling component, with length equal to NCOL(W)+1 to account for an intercept term (first entry of gama)

Returns

A list with the following components: - df: Degrees of freedom

• chi2: Value of the Pearson fitting measure

• dev: Deviance indicator

Details

No missing value should be present neither for ordinal nor for covariate matrices: thus, deletion or imputation procedures should be preliminarily run.

Examples

data(univer)
m<-7
pai<-0.3
gama<-c(0.1,0.7)
ordinal<-univer$informat; W<-univer$gender;
pearson<-chi2cub(m,ordinal,W,pai,gama)
degfree<-pearson$df
statvalue<-pearson$chi2
deviance<-pearson$dev

References

Tutz, G. (2012). Regression for Categorical Data, Cambridge University Press, Cambridge