Simplified version of the modified log – likelihood ratio test statistic for testing hypothesis about goodness of – fit-of multinomial probabilities. – K. Ayinde, T. O. Olatayo and O. O. Alabi
The modified log – likelihood ratio test statistic for testing hypothesis about goodness of fit of multinomial probabilities in one, two and multi -dimensional contingency table is simplified. The simplified version of the statistic does not require calculating expected cell frequency before the appropriate test of significance can be done. This, consequently, makes the technique computationally easier and faster than the traditional method. Numerical examples are considered to illustrate their usage. Results compare favorably with Pearson, Neyman and the Likelihood ratio chi – squared statistics.
Keywords: Modified log – likelihood ratio test statistic; Multinomial probabilities; Contingency table.