1. Department of Statistics , Panjab University , Chandigarh , India amarnathgill@gmail.com;3. Department of Statistics , Panjab University , Chandigarh , India;4. Department of Mathematics , Guru Nanak Dev University , Amritsar , India
Abstract:
In this article, a multiple three-decision procedure is proposed to classify p (≥2) treatments as better or worse than the best of q (≥2) control treatments in one way layout. Critical constants required for the implementation of the proposed procedure are tabulated for some pre-specified values of probability of no misclassification. Power function of the proposed procedure is defined and a common sample size necessary to guarantee various pre-specified power levels are tabulated under two optimal allocation schemes. Finally the implementation of the proposed methodology is demonstrated through numerical examples based on real life data.