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Selection of the Better of Two Treatments when They May Not be Equivalent
Author(s) -
Desu M. M.,
Bristol D. R.
Publication year - 1985
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710270610
Subject(s) - ranking (information retrieval) , selection (genetic algorithm) , mathematics , statistics , exponential function , exponential distribution , distribution (mathematics) , model selection , computer science , mathematical analysis , artificial intelligence
A procedure for selecting the better of two treatments which allows for the possibility of non‐selection when the treatments appear to be equivalent (that is, similar) is presented. The proposed procedure is a modification of the indifference zone approach. It is assumed that the treatments are compared with respect to a continuous response variable, which has a normal or a two‐parameter exponential distribution. For the normal distribution, each of the parameters is considered as the ranking parameter. For the two‐parameter exponential distribution, the guarantee time (location parameter) is the ranking parameter. The values of the estimates of the ranking parameters and the observed distance between these estimates are used in this selection procedure.