Abstract: | 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. |