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CONTENTS
Acknowledgements vi
Preface vii
List of Common Symbols viii
Introduction to the Book 1
Introduction to Statistical Testing 2
Examples of Test Procedures 5
List of Tests 14
Classification of Tests 19
The Tests 21
List of Tables 185
Tables 186
References 240
Index 241
PREFACE
Some twenty years ago, it was only necessary to know about a dozen statistical tests
in order to be a practising statistician, and these were all available in the few statistical
textbooks that existed at that time. In recent years the number of tests has grown
tremendously and, while modern books carry the more common tests, it is often quite
difficult for a practising statistician quickly to turn up a reference to some of the less
used but none the less important tests which are now in the literature. Accordingly, we
have attempted to collect together information on most commonly used tests which are
currently available and present it, together with a guide to further reading, to make a
useful reference book for both the applied statistician and the everyday user of statistics.
Naturally, any such compilation must omit some tests through oversight, and the author
would be very pleased to hear from any reader about tests which they feel ought to have
been included.
The work is divided into several sections. In the first we define a number of terms
used in carrying out statistical tests, we define the thinking behind statistical testing and
indicate how some of the tests can be linked together in an investigation. In the second
section we give examples of test procedures and in the third we provide a list of all the
100 statistical tests. The fourth section classifies the tests under a variety of headings.
This became necessary when we tried to arrange the tests in some logical sequence.
Many such logical sequences are available and, to meet the possible needs of the reader,
these cross-reference lists have been provided. The main part of the work describes
most commonly used tests currently available to the working statistician. No attempts
at proof are given, but an elementary knowledge of statistics should be sufficient to
allow the reader to carry out the test. In every case the appropriate formulae are given
and where possible we have used schematic diagrams to preclude any ambiguities
in notation. Where there has been a conflict of notation between existing textbooks,
we have endeavoured to use the most commonly accepted symbols. The next section
provides a list of the statistical tables required for the tests followed by the tables
themselves, and the last section provides references for further information.
Because we have brought together material which is spread over a large number
of sources, we feel that this work will provide a handy reference source, not only for
practising statisticians but also for teachers and students of statistics.We feel that no one
can remember details of all the tests described here. We have tried to provide not only
a memory jogger but also a first reference point for anyone coming across a particular
test with which he or she is unfamiliar.
Lucidity of style and simplicity of expression have been our twin objectives, and
every effort has been made to avoid errors. Constructive criticism and suggestions will
help us in improving the book.
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