Mutiple three-decision procedure for comparing several exponential treatments with the best control |
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Authors: | Anju Goyal Vishal Maurya Amar Nath Gill |
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Institution: | 1. Department of Statistics , Panjab University , Chandigarh , 160 014 , India anju.statistics@gmail.com;3. Department of Statistics , Panjab University , Chandigarh , 160 014 , India |
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Abstract: | In this paper, the three-decision procedures to classify p treatments as better than or worse than one control, proposed for normal/symmetric probability models Bohrer, Multiple three-decision rules for parametric signs. J. Amer. Statist. Assoc. 74 (1979), pp. 432–437; Bohrer et al., Multiple three-decision rules for factorial simple effects: Bonferroni wins again!, J. Amer. Statist. Assoc. 76 (1981), pp. 119–124; Liu, A multiple three-decision procedure for comparing several treatments with a control, Austral. J. Statist. 39 (1997), pp. 79–92 and Singh and Mishra, Classifying logistic populations using sample medians, J. Statist. Plann. Inference 137 (2007), pp. 1647–1657]; in the literature, have been extended to asymmetric two-parameter exponential probability models to classify p(p≥1) treatments as better than or worse than the best of q(q≥1) control treatments in terms of location parameters. 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 also defined and a common sample size necessary to guarantee various pre-specified power levels are tabulated. Optimal allocation scheme is also discussed. Finally, the implementation of the proposed methodology is demonstrated through numerical example. |
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Keywords: | asymmetric probability model three-decision procedure type III error best control probability of no misclassification |
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