Construction of Experimental Designs: A Finite Geometric Approach
Abstract
Finite geometries are used in the construction of BIB and PBIB designs with
two and more than two-associate classes. Further, finite projective
geometries can also be used to construct fractional factorial designs for slevel
symmetrical factorial experiments; where s is a prime or a prime
power. Under a hierarchical model that includes the general mean, all main
effects and a specified set of two-factor interactions, the plans from finite
projective geometries have inter-effect orthogonality and are shown to be
universally optimal under a hierarchical model within the class of all plans
involving the same number of runs. Families of optimal plans from finite
projective geometries have been suggested.
Citation
A project submitted to the school of Mathematics in partial fulfillment for the award of master of science degree in StatisticsPublisher
School of Mathematics, University of Nairobi