A simplification of the likelihood ratio test statistic for testing hypothesis about goodness of fit of multinomial probabilities

Abstract

The traditional likelihood ratio test statistic for testing hypothesis about goodness of fit of multinomial probabilities in one, two and multi – dimensional contingency table was simplified. Advantageously, using the simplified version of the statistic to test the null hypothesis is easier and faster because calculating the expected cell frequency becomes absolutely unnecessary. The conclusions of the numerical examples considered to illustrate their usage agreed perfectly with that of the traditional and simplified method of the Pearson chi–squared statistic even when the observed cell frequencies of some cells are small.

Journal of the Nigerian Association of Mathematical Physics Vol. 8 2004: pp. 305-310