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The design of experiments holds a central place in statistics. The
aim of this book is to present in a readily accessible form certain
theoretical results of this vast field. This is intended as a
textbook for a one-semester or two-quarter course for undergraduate
seniors or first-year graduate students, or as a supplementary
resource. Basic knowledge of algebra, calculus and statistical
theory is required to master the techniques presented in this
book.To help the reader, basic statistical tools that are needed in
the book are given in a separate chapter. Mathematical results from
Modern Algebra which are needed for the construction of designs are
also given. Wherever possible the proofs of the theoretical results
are provided.
Sample surveys is the most important branch of statistics. Without
sample surveys there is no data, and without data there is no
statistics. This book is the culmination of the lecture notes
developed by the authors. The approach is theoretical in the sense
that it gives mathematical proofs of the results in sample surveys.
Intended as a textbook for a one-semester course for undergraduate
seniors or first-year graduate students, a prerequisite basic
knowledge of algebra, calculus, and statistical theory is required
to master the techniques described in this book.
This volume is a collection of exercises with their solutions in
Design and Analysis of Experiments. At present there is not a
single book which collects such exercises. Theseexercises have been
collected by the authors during the last four decadesduring their
student and teaching years. They should prove useful to graduate
students and research workers in Statistics. In Chapter I,
theoretical results that are needed for understanding the material
in this book, are given. Chapter 2 lists the exercises which have
been collected by the authors. The solutions of these problems are
given in Chapter 3. Finally an index is provided for quick
reference. Grateful appreciation for financial support for Dr.
Kabe's research at St. Mary's University is extended to National
Research Council of Canada and St. May's Uni versity Senate
Research Committee. For his visit to the Department ofMathematics
and Statistics the authors are thankful to the Bowling Green State
University."
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