Mutiple three-decision procedure for comparing several exponential treatments with the best control

作者：Goyal Anju^*; Maurya Vishal; Gill Amar Nath

来源：Journal of Statistical Computation and Simulation, 2013, 83(3): 472-485.

DOI：10.1080/00949655.2011.618992

• asymmetric probability model
• three-decision procedure
• type III error
• best control
• probability of no misclassification

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. 432437; Bohrer et al., Multiple three-decision rules for factorial simple effects: Bonferroni wins again!, J. Amer. Statist. Assoc. 76 (1981), pp. 119124; Liu, A multiple three-decision procedure for comparing several treatments with a control, Austral. J. Statist. 39 (1997), pp. 7992 and Singh and Mishra, Classifying logistic populations using sample medians, J. Statist. Plann. Inference 137 (2007), pp. 16471657]; in the literature, have been extended to asymmetric two-parameter exponential probability models to classify p(p1) treatments as better than or worse than the best of q(q1) 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.

• 出版日期2013-3-1