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Yinglin Xia · Jun Sun · Ding-Geng Chen

Statistical Analysis of Microbiome Data with R

ICSA Book Series in Statistics Series editors Jiahua Chen, Department of Statistics, University of British Columbia, Vancouver, Canada Ding-Geng Chen, Department of Biostatistics, School of Social Work, University of North Carolina, Chapel Hill, NC, USA

The ICSA Book Series in Statistics showcases research from the International Chinese Statistical Association that has an international reach. It publishes books in statistical theory, applications, and statistical education. All books are associated with the ICSA or are authored by invited contributors. Books may be monographs, edited volumes, textbooks and proceedings.

More information about this series at http://www.springer.com/series/13402

Yinglin Xia Jun Sun Ding-Geng Chen •

•

Statistical Analysis of Microbiome Data with R

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Yinglin Xia Department of Medicine University of Illinois at Chicago Chicago, IL, USA

Ding-Geng Chen School of Social Work University of North Carolina Chapel Hill, NC, USA

Jun Sun Department of Medicine University of Illinois at Chicago Chicago, IL, USA

and Department of Biostatistics Gillings School of Global Public Health University of North Carolina Chapel Hill, NC, USA and Department of Statistics University of Pretoria Pretoria, South Africa

ISSN 2199-0980 ISSN 2199-0999 (electronic) ICSA Book Series in Statistics ISBN 978-981-13-1533-6 ISBN 978-981-13-1534-3 (eBook) https://doi.org/10.1007/978-981-13-1534-3 Library of Congress Control Number: 2018950827 © Springer Nature Singapore Pte Ltd. 2018 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. 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, express 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

Yinglin Xia and Jun Sun would like to dedi