Approximating Noncentral Chi-Squared to the Moments and Distribution of the Likelihood Ratio Statistic for Multinomial Goodness of Fit
The chi-square distribution is often assumed to hold for the asymptotic distribution of two times the log likelihood ratio statistic under the null hypothesis. Approximations are derived for the mean and variance of G2, the likelihood ratio statistic for testing goodness of fit in a s category multinomial distribution. The first two moments of G2 are used to fit the distribution of G2 to a noncent
