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Statistics for the Social Sciences PDF

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Statistics for the Social Sciences AGeneral Linear Model Approach Written by a quantitative psychologist, this textbook explains complex statistics in accessible language to undergraduates in all branches of the social sciences. Built around the central frame- work of the general linear model (GLM), Statistics for the Social Sciences teaches students how differentstatisticalmethodsareinterrelatedtooneanother.WiththeGLMasabasis,studentswith varying levels of background are better equipped to interpret statistics and learn more advanced methods in their later courses. Dr. Warne makes statistics relevant to students’varying majors by usingfascinatingreal-lifeexamplesfromthesocialsciences.Studentswhousethisbookwillbenefit fromclearexplanations,warningsagainstcommonerroneousbeliefsaboutstatistics,andthelatest developments in the philosophy, reporting, and practice of statistics in the social sciences. The textbookispackedwithhelpfulpedagogicalfeaturesincludinglearninggoals,guidedpractice,and reflection questions. Dr. Russell T. Warne is a quantitative psychologist in the Department of Behavioral Science at Utah Valley University who earned his PhD from Texas A&M University in 2011. Since 2009 he has taught introductory statistics to undergraduates majoring in psychology, sociology, education, anthropology, communications, family science, exercise science, and biology. At Utah Valley University his statistics course is one of his department’s highest rated classes, with an average studentratingof 4.7 outof 5. Dr.Warnedoesn’tjustteachstatistics.Heusesstatisticsinhisresearch,too.Hehaspublishedover 40 articles in professional journals in psychology, education, methodology, medicine, sociology, health,business,andthearts.Formanyofthesearticleshiscoauthorswerestudents.Dr.Warnehas earned awards for his research from the National Association for Gifted Children, the Southwest Educational Research Association, Texas A&M University, and Utah Valley University. He also uses his statistical training to serve on the editorial board of three scientific journals – Journal of PsychoeducationalAssessment,Gifted Child Quarterly, andJournalof SchoolPsychology. for the Statistics Social Sciences A General Linear Model Approach RUSSELL T. WARNE UtahValley University UniversityPrintingHouse,CambridgeCB28BS,UnitedKingdom OneLibertyPlaza,20thFloor,NewYork,NY10006,USA 477WilliamstownRoad,PortMelbourne,VIC3207,Australia 314–321,3rdFloor,Plot3,SplendorForum,JasolaDistrictCentre,NewDelhi–110025,India 79AnsonRoad,#06–04/06,Singapore079906 CambridgeUniversityPressispartoftheUniversityofCambridge. ItfurtherstheUniversity’smissionbydisseminatingknowledgeinthepursuitof education,learning,andresearchatthehighestinternationallevelsofexcellence. www.cambridge.org Informationonthistitle:www.cambridge.org/9781107576971 ©RussellWarne2018 Thispublicationisincopyright.Subjecttostatutoryexception andtotheprovisionsofrelevantcollectivelicensingagreements, noreproductionofanypartmaytakeplacewithoutthewritten permissionofCambridgeUniversityPress. Firstpublished2018 PrintedintheUnitedStatesofAmericabySheridanBooks,Inc. AcataloguerecordforthispublicationisavailablefromtheBritishLibrary. LibraryofCongressCataloging-in-PublicationData Names:Warne,RussellT.,1983-author. Title:Statisticsforthesocialsciences:agenerallinearmodelapproach/RussellT.Warne. Description:NewYork:CambridgeUniversityPress,2018.|Includesbibliographicalreferencesandindex. Identifiers:LCCN2017023186|ISBN9781107576971(paperback) Subjects:LCSH:Statistics–Textbooks.|Socialsciences–Statisticalmethods–Textbooks. Classification:LCCQA276.W3672017|DDC519.5–dc23LCrecordavailableat https://lccn.loc.gov/2017023186 ISBN978-1-107-57697-1Paperback CambridgeUniversityPresshasnoresponsibilityforthepersistenceoraccuracy ofURLsforexternalorthird-partyinternetwebsitesreferredtointhispublication anddoesnotguaranteethatanycontentonsuchwebsitesis,orwillremain, accurateorappropriate. For Katie. The likelihood of finding a woman as wonderful as her is P = .000001. Contents Preface ix Acknowledgements xiii List of Examples xv Chapter 1 Statistics andModels 1 Chapter 2 Levels of Data 21 Chapter 3 Visual Models 35 Chapter 4 Models of CentralTendency andVariability 77 Chapter 5 Linear Transformations and z-Scores 103 Chapter 6 Probability and the Central Limit Theorem 127 Chapter 7 Null HypothesisStatistical Significance Testing and z-Tests 151 Chapter 8 One-Sample t-Tests 181 Chapter 9 Paired-Samples t-Tests 215 Chapter 10 Unpaired Two-Sample t-Tests 241 Chapter 11 Analysis of Variance 275 Chapter 12 Correlation 329 Chapter 13 Regression 369 Chapter 14 Chi-Squared Test 403 Chapter 15 Applying Statistics to Research, and Advanced StatisticalMethods 443 Appendix A1 485 Appendix A2 494 Appendix A3 497 Appendix A4 500 Appendix A5 503 Appendix A6 506 Glossary 508 AnswerKey 524 References 548 NameIndex 564 Subject Index 569

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