Permutation Tests in Shape Analysis
Statistical shape analysis is a geometrical analysis from a set of shapes in which statistics are measured to describe geometrical properties from similar shapes or different groups, for instance, the difference between male and female Gorilla skull shape
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Chiara Brombin Luigi Salmaso
Permutation Tests in Shape Analysis
123
SpringerBriefs in Statistics
For further volumes: http://www.springer.com/series/8921
Chiara Brombin • Luigi Salmaso
Permutation Tests in Shape Analysis
123
Chiara Brombin CUSSB, Vita-Salute University of San Raffaele Milan, Italy
Luigi Salmaso Department of Management and Engineering University of Padova Vicenza, Italy
ISSN 2191-544X ISSN 2191-5458 (electronic) ISBN 978-1-4614-8162-1 ISBN 978-1-4614-8163-8 (eBook) DOI 10.1007/978-1-4614-8163-8 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013943529 © Springer Science+Business Media New York 2013 This work is subject to copyright. All rights are reserved 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To Fortunato Pesarin
WHO SAID CAN’T? Someone is always doing something someone else said was impossible. TRY TRYING. Unknown
Preface
The statistical community has shown an increased interest in shape analysis in the last decade, in particular with reference to the development of robust inferential statistical methods. In this book we present an extension of NonParametric Combination (NPC) methodology (Pesarin, 2001; Pesarin and Salmaso, 2010) to shape analysis. At first we introduce basic concepts and terms that will be used throughout the book. In parti
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