Elements of Statistical Inference

424 Pages·1967·15.653 MB·English

by  David V. Huntsberger

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ELEMENTS OF
STATISTICAL INFERENCE
DAVID
V.
ELEMENTS OF
1967
HUNTSBERGER
PROFESSOR of STATISTICS
Iowa State University of
Science and Technology
STATISTICAL INFERENCE
SECOND EDITION
ALLYN AND BACON
©
Copyright, 1967 by allynand
BACON, INC. 150 Tremont Street
Boston, Mass. 02111
All rights reserved. No part of
this book may be reproduced in
any form, or by any means,
without permission in writing
from thepublisher.
Printed in the United
States ofAmerica
Library ofCongress
Catalog Card Number:
67-11290
Preface
This second edition, like the first, is intended as an intro-
duction to some of the basic concepts and techniques of statistical
inference. It is hoped that the reader will acquire an appreciation for,
and some understanding of, the statistical approach to many types of
problems faced by the administrator, the research worker, and other
members ofour increasingly complex society.
In preparing this revision my primary objective has been to
improve upon theearliereditionby reorderingand regroupingmaterial,
by including additional examples and figures that have been found
effective in the classroom, and by developing more fully those topics
forwhich experience indicates clarification would be helpful.
In keeping with my original objectives, only those topics that
appear to be of interest in diverse fields of application have been
added to the contents of the first edition. The major additions are
the paired t-test, an elementary treatment of Bayes' Theorem, and an
introduction to the analysis ofvariance for two-way classifications.
This book may serve as a text for a general course for those who
want to know "what statistics is all about," or who need to be familiar
with at least the language and fundamental concepts of statistics to
achieve additional competence in their chosen fields. Such a course
would also provide the necessary background for those who will take
more advanced courses in statistics, including the specialized appli-
cations.
Preface
Mathematical prerequisites have been kept to a minimum. A
knowledge ofarithmetic and some exposure to algebra are sufficient.
I am indebted to those who used the first edition and were kind
enoughto offertheircriticisms,comments, and suggestionsforimprove-
ment. These have been most helpful. I am especially grateful to Dr.
Carol Fuchs for her careful reading ofthe manuscript for this revision,
and her many helpful suggestions; and to Mrs. Avonelle Jacobson for
her help in the preparation ofthe manuscript.
I am indebted to the late Professor Sir Ronald Fisher, Cambridge,
to Dr. Frank Yates, Rothamsted, and to Messrs. Oliver and Boyd Ltd.,
Edinburgh, for permission to reprint Table No. Ill from their book
"Statistical Tables for Biological, Agricultural, and Medical Research";
to Professor George W. Snedecor and the Iowa State University Press
forpermissionto reproduceTable IV; to ProfessorGeorgeW. Snedecor
for permission to reproduce Table VI; to Dr. Bernard Ostle and the
Iowa State University Press for permission to reproduce Table VII;
andto Professor E. S. Pearson and theBiometrika Officeforpermission
to use the material presented in Tables V and IX.
D. V. HUNTSBERGER
VI