The chi-square test, likelihood ratio test, and other goodness of fit tests in a family are shown to have monotonic power functions, and hence are unbiased, for testing a simple hypothesis that all cell probabilities are equal. The chi-square test is also shown to be Type D for this situation.
Publié le : 1975-07-14
Classification:
Hypothesis testing,
chi-square test,
likelihood ratio tests,
goodness of fit tests,
unbiasedness,
Type D.,
62F05,
62G10
@article{1176343197,
author = {Cohen, Arthur and Sackrowitz, H. B.},
title = {Unbiasedness of the Chi-Square, Likelihood Ratio, and Other Goodness of Fit Tests for the Equal Cell Case},
journal = {Ann. Statist.},
volume = {3},
number = {1},
year = {1975},
pages = { 959-964},
language = {en},
url = {http://dml.mathdoc.fr/item/1176343197}
}
Cohen, Arthur; Sackrowitz, H. B. Unbiasedness of the Chi-Square, Likelihood Ratio, and Other Goodness of Fit Tests for the Equal Cell Case. Ann. Statist., Tome 3 (1975) no. 1, pp. 959-964. http://gdmltest.u-ga.fr/item/1176343197/