
Accession Number : AD0706389
Title : ON THE OPTIMAL TWORESPONSE DESIGNS OF THE CYCLIC PBIB TYPE,
Corporate Author : COLORADO STATE UNIV FORT COLLINS DEPT OF STATISTICS
Personal Author(s) : Srivastava,J. N. ; McDonald,L. I.
Report Date : FEB 1970
Pagination or Media Count : 26
Abstract : A certain class delta of tworesponse cyclic BPIB designs is considered where for any design D is an element of delta, there may exist experimental units on which not both responses are measured. Allowing for the possibility that the responses may have different costs of measurements it is shown that (with respect to the trace criterion and subject to a restriction on the total cost of the experiment) there is a large class of situations where the optimum design in delta is not the 'standard multiresponse design' (i.e. the design in which all responses are measured on every unit). It is further shown that a subclass delta* of delta called the hierarchical multiresponse designs, is complete in the sense that given D is an element of delta there is a design D* is an element of delta* such that D* is at least as good as D with respect to both the trace criterion and the cost. The problem (a nonlinear integral valued programming problem) of obtaining the best design from delta is considered and finally tables are given which enable one to easily obtain this optimum design in any given situation. (Author)
Descriptors : (*EXPERIMENTAL DESIGN, *NONLINEAR PROGRAMMING), OPTIMIZATION, RESPONSE, MEASUREMENT, SET THEORY
Subject Categories : Operations Research
Test Facilities, Equipment and Methods
Distribution Statement : APPROVED FOR PUBLIC RELEASE