Solutions to Exercises in Intermediate Statistical Methods
This booklet contains hints to the solutions and answers where necessary, of the exercises contained in 'Intermediate Statistical Methods' by G. Barrie Wetherill. The following principles have been adopted in dealing with the answers. (1) In some cases th
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Intermediate Statistical Methods
SOLUTIONS TO EXERCISES IN
Intermediate Statistical Methods G. BARRIE WETHERILL Professor of Statistics, University of Kent at Canterbury
LONDON NEW YORK
CHAPMAN AND HALL
First published 1981 by Chapman and Hall Ltd 11 New Fetter Lane, London EC4P 4EE Published in the USA by Chapman and Hall in association with Methuen, Inc. 733 Third Avenue, New York NY 10017
© 1981 G. Barrie Wetherill ISBN-13: 978-0-412-23S20-7e-ISBN-13: 978-94-011-6030-8 DOl: 10.1007/978-94-011-6030-8 This paperback edition is sold subject to the condition that it shall not, by way 0/ trade or otherwise, be lent, re-sold, hired out, or otherwise circulated without the publisher's prior consent in any form o/binding or cover other than that in which it is published and without a similar condition including this condition being imposed on the subsequent purchaser. All rights reserved. No part o/this book may be reprinted, or reproduced or utilized in any form or by any electronic, mechanical or other means, now known or hereafter invented, including photocopying and recording, or in any in/ormation storage and retrieval system, without permission in writing from the Publisher.
British Library Cataloguing in Publication Data Wetherill, G. Barrie Solution to exercises in Intermediate statistical methods 1. Mathematical statistics - Examinations, questions, etc. I. Title II. Intermediate statistical methods 519.5'07 QA276.2 80-42278 ISBN-13: 978-0-412-23520-7
Contents
Introduction 1 Some Properties of Basic Statistical Procedures 2 Regression and the Linear Model 3 Statistical Models and Statistical Inference 4 Properties of the Method of Maximum Likelihood 5 The Method of Least Squares 6 Multiple Regression: Further Analysis and Interpretation 7 Polynomial Regression 8 The Use of Transformations 9 Correlation 10 The Analysis of Variance 11 Designs with Regressions in the Treatment Effects 12 An Analysis of Data on Trees 13 The Analysis of Variance: Subsidiary Analyses 14 Random Effects Models 15 Crossed Classifications 16 Further Analysis of Variance 17 The Generalized Linear Model Appendix A Some Important Definitions and Results
page vi 1 3 9 14 20 27 32 36 37 40 50 55 57 59 67 69 71
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INTRODUCTION This booklet contains hints to the solutions and answers where necessary, of the exercises contained in 'Intermediate Statistical Methods' by G. Barrie Wetherill. The following principles have been adopted in dealing with the answers. (1) In some cases the answer is the drawing of a graph, and this has been omitted. (2) In many numerical exercises a considerable amount of 'data snooping', plotting of residuals, etc. should follow the main ~sis. The inclusion of this material would make the answer booklet far too long. (3) In some cases there is a readily available reference from which the answer can be ob~ained, in which case reference has been made to this. It is not necessary to work through every exercise , but it should be recognised that the exercises are an integral part of the main text, and a comp
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