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The Art of Data Analysis: How to Answer Almost Any Question Using Basic Statistics PDF

181 Pages·2013·6.39 MB·English
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The Art of Data Analysis The Art of Data Analysis How to Answer Almost Any Question Using Basic Statistics Kristin H. Jarman Copyright © 2013 by John Wiley & Sons, Inc. All rights reserved Published by John Wiley & Sons, Inc. Hoboken, New Jersey Published simultaneously in Canada No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 750-4470, or on the web at www.copyright.com . Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permissions . Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifi cally disclaim any implied warranties of merchantability or fi tness for a particular purpose. No warranty may be created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author shall be liable for any loss of profi t or any other commercial damages, including but not limited to special, incidental, consequential, or other damages. For general information on our other products and services or for technical support, please contact our Customer Care Department within the United States at (800) 762-2974, outside the United States at (317) 572-3993 or fax (317) 572-4002. Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic formats. For more information about Wiley products, visit our web site at w ww.wiley.com. Ljbrary of Congress Cataloging-in-Publication Data: Jarman, Kristin H. The art of data analysis : how to answer almost any question using basic statistics / Kristin H. Jarman. pages cm Includes bibliographical references and index. ISBN 978-1-118-41131-5 (pbk)—ISBN 978-1-118-51492-4 (ePDF)—ISBN 978-1-118- 51494-8 (eBook)—ISBN 978-1-118-51493-1 (ePub)—ISBN 978-1-118-51490-0 (eMOBI) 1. Mathematical statistics–Popular works. I. Title. QA276.12.J35 2013 519.5–dc23 2013000381 Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 To my father: The dream lives on. Contents Preface ix PART 1 The Basics 1. Statistics: The Life of the Party 3 2. Lions, and Tigers, and . . . Bigfoot? Oh, My: How Questionable Data Can Screw Up an Otherwise Perfectly Good Statistical Analysis 7 3. Asteroid Belts and Spandex Cars: Using Descriptive Statistics to Answer Your Most Weighty Questions 23 4. Baseball, Game Shows, and Sidekicks: Who Cares about Probability Anyway? 43 5. What It’s Like to Be Normal: Probability Distributions and One Rule That Could Make You Wildly Popular 63 PART 2 What a Few Estimates and a Little Probability Can Do for You 6. Men Are Insensitive and Women Are Illogical. Really: Asserting Your Stereotypes with Confi dence 89 vii viii Contents 7. Godzilla versus King Kong: How Hypothesis Tests Can Be Used to Settle the Battle of the Movie Monsters 109 8. Lab Rats and Roommates: Analysis of Variance and How to Channel Your Inner Mad Scientist 129 9. When the Zombie Flu Went Viral: Regressing the Myth Out of Urban Myths 143 Appendix A: Critical Values for the Standard Normal Distribution 161 Appendix B: Critical Values for the T-Distribution 163 Appendix C: Critical Values for the Chi-Squared Distribution 165 Glossary 167 References 173 Index 175 Preface I remember my fi rst college statistics course. I studied hard and did the homework. I could calculate confi dence intervals and perform hypothesis tests. I even earned a good grade. But the subject was so strange to me, I couldn ’ t keep the different concepts straight. Popula- tions, estimates, p -values, these things were nothing but a jumble of meaningless terms, and what little I learned vanished the moment I turned in the fi nal exam. Maybe I ’ m a masochist or maybe just determined, but I stuck with it. I took a second statistics course and then a third. It wasn ’ t until I ’ d earned a Ph.D. in the fi eld, worked on a number of real world problems, and made almost every mistake imaginable that I began to feel like I had a working grasp of statistics and its role in the data analysis process. That ’ s where this book comes in. It ’ s driven by examples, not sta- tistical concepts. Each chapter illustrates the application of basic sta- tistics to a real dataset collected in the real world, far from the theorems and formulas and neatly contrived examples of the classroom. Hope- fully, this book will provide you with the context you need to apply the basics of this slippery but oh-so-important subject to your own real- world problems. Visit http://khjarman.com/ to contact the author, read more about the art of data analysis, and tell us your own statistical stories. K ristin H. J arman ix 1 PART The Basics

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