Optimal multi type step wise group screening designs-a Numerical method approach

Abstract

This project considers optimum stepwise group screening designs .Numerical methods are used to obtain the optimum group sizes.Newton’s method as a numerical method , is used as a mathematical tool,statistically, in the minimization of Expected Total number of runs(tests) in the Stepwise group screening design for selecting and separating the defective factors from a population entailing both the defective and non-defective factors(observations). The minimization of the expected total number of runs is obtained or ascertained when the optimum sizes of the group factors are obtained as required from the performance of the several iterations in Newton’s method, for different stages, i.e, stage one,(one group-size, (x)), stage two, (two group sizes,(x,y)) and stage three, (three group-sizes,(x,y,z)).At each particular stage, comparisons are made with the calculus method used in obtaining the optimum group sizes in the procedures used by other researchers.All these two procedures are afterwards confirmed with the results from the computer search.