The Performance of Step-Wise Group Screening Designs

Abstract

In this paper we evaluate the performance of step-wise group screening designs in which group-factors contain an equal number of factors in the initial step. A usual assumption in group screening designs is that the directions of possible effects are known a-priori. In practice, however, this assumption is unreasonable. We shall examine step-wise group screening designs without errors in observations when this assumption is relaxed. We shall consider cancellations of effects within group-factors. The performance of step-wise group-screening designs shall then be compared with the performance of multistage group screening designs.

Step-Wise Group Screening Designs with Unequal A-Priori Probabilities and Errors in Observations

“…The group testing procedure first considered by Sterrett (1957) has been extended by Manene (1985), Patel and Manene (1987), Odhiambo and Manene (1987) and Manene (1997) in what they have called step-wise group-screening designs and they have approached the problem from the point of view of designs of experiments. They have considered the cases when all factors are defective with equal prior probabilities.…”