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STEVENS MA 331 - Introduction to the Practice of Statistics

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Introduction to S-PLUSObtaining S-PLUS and Two LibrariesGetting StartedGetting HelpData in S-PLUSThe Object ExplorerExiting S-PLUSTyping CommandsLooking at Data---DistributionsDisplaying Distributions with GraphsDescribing Distributions with NumbersThe Normal DistributionsEditing GraphsMultiple Plots in Command Line GraphicsExercisesSolutionsLooking at Data---RelationshipsScatterplotsCorrelationLeast-Squares RegressionCautions About Correlation and RegressionExercisesSolutionsProducing DataExerciseSolutionProbabilityRandomnessExerciseSolutionSampling DistributionsSampling DistributionsIntroduction to InferenceConfidence Intervals and Hypothesis TestsPowerExercisesSolutionsInference for DistributionsInference for the Mean of a PopulationComparing Two MeansExercisesSolutionsInference for ProportionsInference for a Single ProportionTwo Sample ProportionsExercisesSolutionsInference for Two-Way TablesTwo-Way Tables and the Chi-Square TestExercisesSolutionsInference for RegressionGraphing the DataInference About the ModelInference About PredictionChecking the Regression AssumptionsMore Detail About Simple Linear RegressionExerciseSolutionMultiple RegressionInference for Multiple RegressionExerciseSolutionOne-Way Analysis of VarianceThe Analysis of Variance F TestComparing the MeansExercisesSolutionsTwo-Way Analysis of VariancePreliminary Data AnalysisTwo-Way ANOVAExerciseSolutionBootstrap Methods and Permutation TestsOne and Two Means (Chapter 7)Ratios of Means, Standard Deviations, or Other StatisticsProportions (Chapter 8)Two-Way Tables and the Chi-Square Test (Chapter 9)Regression (Chapter 10)Multiple Regression (Chapter 11)Analysis of Variance (Chapters 12 and 13)Correlation (Chapter 2)Nonparametric TestsWilcoxon Rank Sum TestThe Wilcoxon Signed Rank TestThe Kruskal-Wallis TestExercisesSolutionsLogistic RegressionThe Logistic Regression ModelMultiple Logistic RegressionExerciseSolutionIndexS-PLUSRGUIDEFORMoore and McCabe’sINTRODUCTION TO THEPRACTICE OF STATISTICSFifth EditionGregory L. SnowIntermountain Health CareLaura M. ChiharaCarleton CollegeTim HesterbergInsightful Corp.W. H. Freeman and CompanyNew YorkTeachers: Chapter Order We encourage teachers to consider using Chapter 14 after Chapter 7. DavidMoore writes:I’d like users to consider resampling (Chapter 14) right after Chapter 7 in their course. That’sthe way Introduction to the Practice of Statistics flows: first the traditional procedures (and astrong dose of practical concerns), then resampling methods as an answer to some (not all) ofthe practical issues. I initially wanted Chapter 14 to be Chapter 8, but bowed to market reality.In some future world, resampling will replace Chapters 6 and 7, but not yet.In addition to the practical issues that Moore notes, there are sound pedagogical reasons for consideringChapter 14 early. Resampling methods provide concrete graphical illustrations of some of the concepts thatstudents find most difficult, including sampling distributions, standard errors, and P -values. And resamplingprovides a way for students to check their answers obtained by formula methods.Students: Chapter 14 Whether or not your course includes Chapter 14, we encourage you to use thischapter in connection with other chapters. Bootstrap methods and permutation tests provide concrete visualrepresentations for some of the more abstract and difficult concepts treated in Chapter 6 and later. Thesemethods may help you better understand the material in other chapters. The approach is based on computersimulation and visualization, rather than the traditional mathematical approach.For Best Viewing This document is intended to be viewed online. Screen shots are taken at 96 dpi, soshould be clear when viewing the document at 100% of actual size on a screen with 96 dpi. If your resolutionis different, then another magnification may be better.Online Version The current version of this document will be available online through links at www.whfreeman.com/ips or www.whfreeman.com/ipsresample.S-PLUSRis a registered trademark of Insightful Corp.c 2005 by W. H. Freeman and CompanyThis document may be freely copied by students and faculty for use as a supplement to Moore and McCabe,Introduction to the Practice of Statistics.Contents0 Introduction to S-PLUS 10.1 Obtaining S-PLUS and Two Libraries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10.2 Getting Started . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10.3 Getting Help . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20.4 Data in S-PLUS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30.5 The Object Explorer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110.6 Exiting S-PLUS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110.7 Typing Commands . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 Looking at Data—Distributions 201.1 Displaying Distributions with Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201.2 Describing Distributions with Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311.3 The Normal Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 341.4 Editing Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 401.5 Multiple Plots in Command Line Graphics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 421.6 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 421.7 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 432 Looking at Data—Relationships 452.1 Scatterplots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 452.2 Correlation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . …


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