Normal Goodness-of-Fit Tests for Multinomial Models with Large Degrees of Freedom
大自由度多项模型的正态拟合优度检验
Goodness-of-fit tests for independent multinomials with parameters to be estimated are usually based on Pearson's X 2 or the likelihood ratio G 2. Both are included in the family of power-divergence statistics SD λ. For increasing sample sizes each SD λ has an asymptotic X 2 distribution, provided that the number of cells remains fixed. We are dealing with an increasing-cells approach, where the number J of independent multinomials increases while the number of classes for…