The Minimum Expectation in X 2 Goodness of Fit Tests and the Accuracy of Approximations for the Null Distribution

@article{Yarnold1970TheME,
title={The Minimum Expectation in X 2 Goodness of Fit Tests and the Accuracy of Approximations for the Null Distribution},
author={James K. Yarnold},
journal={Journal of the American Statistical Association},
year={1970},
volume={65},
pages={864-886}
}

Abstract The accuracy of approximations for the null distribution of the chi-square goodness of fit statistic, X 2, is examined numerically for many different multinomial distributions. Some of these approximations are terms of a new asymptotic expansion which provides much greater accuracy than the usual χ2 approximation. When there are too many small expectations, even these are inaccurate, and a diflerent type of approximation must be used—the C(m) distribution. It is proven that the latter… CONTINUE READING