Split-Plot and Split-Block Designs
Split-plot and Split-block designs belong to a class of designs in which the inter-block information is utilized fully. These designs arose from agricultural experiments where there is a necessity to consider plots of different sizes, as plots of comparab
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rst Course in Linear Models and Design of Experiments
A First Course in Linear Models and Design of Experiments
N. R. Mohan Madhyastha S. Ravi A. S. Praveena •
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A First Course in Linear Models and Design of Experiments
123
N. R. Mohan Madhyastha Department of Studies in Statistics University of Mysore Mysuru, India
S. Ravi Department of Studies in Statistics University of Mysore Mysuru, India
A. S. Praveena Department of Studies in Statistics University of Mysore Mysuru, India
ISBN 978-981-15-8658-3 ISBN 978-981-15-8659-0 https://doi.org/10.1007/978-981-15-8659-0
(eBook)
Mathematics Subject Classification: 62J10, 62F03, 62F10, 62F25, 62H10, 62J05, 62J15, 62J99, 62K10, 62K15, 62K99 © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2020 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
Preface
While writing any book on any topic, the first question that has to be confronted is: Why one more book on this topic? Our justification: we have taught the material in the book for several years to students of Master of Science degree program in Statistics at the University of Mysore. A student with only a basic knowledge of Linear Algebra, Probability Theory and Statistics, and wanting to understand the basic concepts of Linear Models, Linear Estimation, Testing of Linear Hypotheses, basics of Design and Analysis of Experiments and the standard Models, will find this book useful. The book is targeted at beginners. Proofs are given in detail to help the uninitiated. We expect the reader to get motivated by the basics in the book and refer advanced literature on the topics to learn mor
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