There has been an enormous growth in recent years in the literature
on discrete optimal designs. The optimality problems have been
formulated in various models arising in the experimental designs
and substantial progress has been made towards solving some of
these. The subject has now reached a stage of completeness which
calls for a self-contained monograph on this topic. The aim of this
monograph is to present the state of the art and to focus on more
recent advances in this rapidly developing area. We start with a
discussion of statistical optimality criteria in Chapter One.
Chapters Two and Three deal with optimal block designs. Row-column
designs are dealt with in Chapter Four. In Chapter Five we deal
with optimal designs with mixed effects models. Repeated
measurement designs are considered in Chapter Six. Chapter Seven
deals with some special situations and Weighing designs are dis
cussed in Chapter Eight. We have endeavoured to include all the
major developments that have taken place in the last three decades.
The book should be of use to research workers in several areas
including combinatorics as well as to the experimenters in diverse
fields of applications. Since the details of the construction of
the designs are available in excellent books, we have only pointed
out the designs which have optimality proper ties. We believe, this
will be adequate for the experimenters.
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