Confidence intervals about the difference in mean responses at the stationary point and alternate points are constructed based on the proposed delta method and F-projection method. Results of a simulation study to compare coverage probabilities and interval widths are discussed.

Fabian proposed a confidence upper bound for the distance of the selected treatment's mean to "the best". We consider a Bayesian approach to Fabian's problem. We derive some properties of the Bayesian approach and compare it with other methods by simulation.

Tolerance limits are those limits that contain a certain proportion of the distribution of a characteristic with a given probability. 'They are used to make sure that the production will not be outside of specifications' (Amin & Lee, 1999). Usually, tolerance limits are constructed at the...