Refreshments: 312 MDS building

Abstract: An inverse-type sequential procedure is considered for hypothesis testing of multinomial models. We assume that the probabilities of all k categories (on a wheel of fortune) are at least ε (>0). For developing the procedure Dirichlet Type-II distribution will be primarily used on the basis of a multiple-decision theoretic point of view. A stopping rule is also devised to satisfy a pre-determined P*-condition. Optimal sample sizes will be determined to test various cell configurations in a multinomial model. The developed procedure will be discussed via Monte Carlo study, and for an illustration moderate cell configurations of a wheel of fortune will be considered as well.