A procedure is proposed for approximating attained significance levels of exact conditional tests. The procedure utilizes a sampling from the null distribution of tables having the same marginal frequencies as the observed table. Application of the approximation through a computer subroutine yields precise approximations for practically any table dimensions and sample size.

No abstract

exact test, independence, contingency tables, ordinal and nominal measures of association, chi-square test, computer algorithm,

Optimal stopping rules under various conditions are obtained for a proofreader who has a probability p (known or unknown) of detecting a misprint in proofsheets which contain an unknown but Poisson-distributed number of misprints.

SEQUENTIAL AND TWO-STAGE POINT ESTIMATION FOR THE MNGE T N A POWER FAMILY DISTRIBUTION N i t i s Mukhopadhyay Oklahoma S t a t e ~n i v e r s . ' ; t y Malay Ghosh U n i v e r s i t y o f F l o r i d a Hosny I . Hamdy Kuwait U n i v e r s i t y Dennis D. Wackerly U n i v e r s i t v of F l o r i d a Key Words a n d P h r a s e s : unknown r a n g e ; g e n e r a l l o s s f u n c t i o n ; r i s k e f f i c i e n c y and r e g r e t ; a s y m p t o t i c d i s t r i b u t i o n o f s a m p l e s i z e ; n u m e r i c a l r e s u l t s ; s e q u e n t i a l a n d t w o -s t a g e p r o c e d u r e s . ABSTRACT S e q u e n t i a l and t w o -s t a g e p o i n t e s t i m a t i o n p r o c e d u r e s f o r t h e r a n g e of a power f a m i l y d i s t r i b u t i o n a r e d i s c u s s e d u s i n g a l o s s f u n c t i o n from a f a i r l y g e n e r a l c l a s s . Some a s y m p t o t i c c h a r a c t e r i s t i c s of t h e s e q u e n t i a l p r o c e d u r e a r e p r e s e n t e d , i n c l u d i n g a p p r o x i m a t e e x p r e s s i o n s f o r t h e d i s t r i b ut i o n o f t h e sample s i z e . F o r t h e two-stage p r o c e d u r e , we p r e s e n t a s y m p t o t i c p r o p e r t i e s a n d e x a c t e x p r e s s i o n s f o r t h e r i s k of t h e p r o c e d u r e , and d i s t r i b u t i o n and mean o f t h e s t o p p i n g r u l e . The r e s u l t s of n u m e r i c a l s i m u l a t i o n s a r e p r e s e n t e d t o d e m o n s t r a t e some p r a c t i c a l m e r i t s of o u r p r o c e d u r e s f o r m o d e r a t e sample s i z e s .