Abstract:

Inverse sampling procedures is considered to test kvariate multinomial models under multipledecision theoretic point of view. A stopping rule is devised to satisfy a predetermined P*condition and to obtain corresponding sample sizes, whereas the Chisquared test cannot provide. For developing the procedure, the incomplete Dirichlet integrals are primarily used to express the probability of correct decision, P{CD} for various configuration in multinomial models. It is also assumed that the probabilities of all k categories or cells (e.g., on a wheel of fortune) are at least ?(>0). For numerical studies Monte Carlo experiments are conducted, and for an illustration moderate cell configurations of a wheel of fortune will be considered as well.
