- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
基本説明
Textbook.
Full Description
Proven Material for a Course on the Introduction to the Theory and/or on the Applications of Classical Nonparametric MethodsSince its first publication in 1971, Nonparametric Statistical Inference has been widely regarded as the source for learning about nonparametric statistics. The fifth edition carries on this tradition while thoroughly revising at least 50 percent of the material.New to the Fifth EditionUpdated and revised contents based on recent journal articles in the literatureA new section in the chapter on goodness-of-fit tests A new chapter that offers practical guidance on how to choose among the various nonparametric procedures covered Additional problems and examples Improved computer figures This classic, best-selling statistics book continues to cover the most commonly used nonparametric procedures. The authors carefully state the assumptions, develop the theory behind the procedures, and illustrate the techniques using realistic research examples from the social, behavioral, and life sciences. For most procedures, they present the tests of hypotheses, confidence interval estimation, sample size determination, power, and comparisons of other relevant procedures. The text also gives examples of computer applications based on Minitab, SAS, and StatXact and compares these examples with corresponding hand calculations. The appendix includes a collection of tables required for solving the data-oriented problems.Nonparametric Statistical Inference, Fifth Edition provides in-depth yet accessible coverage of the theory and methods of nonparametric statistical inference procedures. It takes a practical approach that draws on scores of examples and problems and minimizes the theorem-proof format.Jean Dickinson Gibbons was recently interviewed regarding her generous pledge to Virginia Tech.
Contents
Introduction and FundamentalsIntroductionFundamental Statistical ConceptsOrder Statistics, Quantiles, and Coverages IntroductionQuantile FunctionEmpirical Distribution FunctionStatistical Properties of Order Statistics Probability-Integral TransformationJoint Distribution of Order Statistics Distributions of the Median and RangeExact Moments of Order StatisticsLarge-Sample Approximations to the Moments of Order StatisticsAsymptotic Distribution of Order Statistics Tolerance Limits for Distributions and CoveragesTests of Randomness IntroductionTests Based on the Total Number of RunsTests Based on the Length of the Longest Run Runs Up and DownA Test Based on RanksTests of Goodness of Fit IntroductionThe Chi-Square Goodness-of-Fit TestThe Kolmogorov-Smirnov One-Sample Statistic Applications of the Kolmogorov-Smirnov One-Sample StatisticsLilliefors's Test for Normality Lilliefors's Test for the Exponential Distribution Anderson-Darling Test Visual Analysis of Goodness of FitOne-Sample and Paired-Sample ProceduresIntroductionConfidence Interval for a Population QuantileHypothesis Testing for a Population QuantileThe Sign Test and Confidence Interval for the MedianRank-Order Statistics Treatment of Ties in Rank TestsThe Wilcoxon Signed-Rank Test and Confidence IntervalThe General Two-Sample ProblemIntroductionThe Wald-Wolfowitz Runs Test The Kolmogorov-Smirnov Two-Sample Test The Median TestThe Control Median TestThe Mann-Whitney U Test and Confidence IntervalLinear Rank Statistics and the General Two-Sample ProblemIntroductionDefinition of Linear Rank Statistics Distribution Properties of Linear Rank Statistics Usefulness in InferenceLinear Rank Tests for the Location Problem IntroductionThe Wilcoxon Rank-Sum Test and Confidence Interval Other Location TestsLinear Rank Tests for the Scale Problem IntroductionThe Mood Test The Freund-Ansari-Bradley-David-Barton Tests The Siegel-Tukey Test The Klotz Normal-Scores TestThe Percentile Modified Rank Tests for ScaleThe Sukhatme TestConfidence-Interval Procedures Other Tests for the Scale ProblemApplicationsTests of the Equality of k Independent SamplesIntroductionExtension of the Median Test Extension of the Control Median TestThe Kruskal-Wallis One-Way ANOVA Test and Multiple Comparisons Other Rank-Test Statistics Tests against Ordered Alternatives Comparisons with a ControlMeasures of Association for Bivariate SamplesIntroduction: Definition of Measures of Association in a Bivariate PopulationKendall's Tau CoefficientSpearman's Coefficient of Rank CorrelationThe Relations between R and T; E(R), , and Another Measure of AssociationApplicationsMeasures of Association in Multiple ClassificationsIntroductionFriedman's Two-Way Analysis of Variance by Ranks in a k x n Table and Multiple ComparisonsPage's Test for Ordered Alternatives The Coefficient of Concordance for k Sets of Rankings of n ObjectsThe Coefficient of Concordance for k Sets of Incomplete RankingsKendall's Tau Coefficient for Partial CorrelationAsymptotic Relative Efficiency IntroductionTheoretical Bases for Calculating the AREExamples of the Calculations of Efficacy and AREAnalysis of Count Data IntroductionContingency TablesSome Special Results for k x 2 Contingency Tables Fisher's Exact Test McNemar's TestAnalysis of Multinomial DataSummaryAppendix of Tables Answers to ProblemsReferencesIndexA Summary and Problems appear at the end of each chapter.
