Nonparametric statistical inference. (2010)

• Record Type: Book
• Further Information: Note: Jean Dickinson Gibbons and Subhabrata Chakraborti.
• Other Names: Gibbons, Jean Dickinson, 1938-; Chakraborti, Subhabrata
• Contents: Introduction and Fundamentals ; Introduction; Fundamental Statistical Concepts Order Statistics, Quantiles, and Coverages; Introduction; Quantile Function; Empirical Distribution Function; Statistical Properties of Order Statistics; Probability-Integral Transformation; Joint Distribution of Order Statistics; Distributions of the Median and Range; Exact Moments of Order Statistics; Large-Sample Approximations to the Moments of Order Statistics; Asymptotic Distribution of Order Statistics; Tolerance Limits for Distributions and Coverages Tests of Randomness; Introduction; Tests Based on the Total Number of Runs; Tests Based on the Length of the Longest Run; Runs Up and Down; A Test Based on Ranks Tests of Goodness of Fit ; Introduction; The Chi-Square Goodness-of-Fit Test; The Kolmogorov–Smirnov One-Sample Statistic; Applications of the Kolmogorov–Smirnov One-Sample Statistics; Lilliefors’s Test for Normality; Lilliefors’s Test for the Exponential Distribution ; Anderson–Darling Test; Visual Analysis of Goodness of Fit One-Sample and Paired-Sample Procedures ; Introduction; Confidence Interval for a Population Quantile; Hypothesis Testing for a Population Quantile; The Sign Test and Confidence Interval for the Median; Rank-Order Statistics; Treatment of Ties in Rank Tests; The Wilcoxon Signed-Rank Test and Confidence Interval The General Two-Sample Problem; Introduction; The Wald–Wolfowitz Runs Test; The Kolmogorov–Smirnov Two-Sample Test; The Median Test; The Control Median Test; The Mann–Whitney U Test and Confidence Interval Linear Rank Statistics and the General Two-Sample Problem ; Introduction; Definition of Linear Rank Statistics; Distribution Properties of Linear Rank Statistics; Usefulness in Inference Linear Rank Tests for the Location Problem ; Introduction; The Wilcoxon Rank-Sum Test and Confidence Interval; Other Location Tests Linear Rank Tests for the Scale Problem; Introduction; The Mood Test; The Freund–Ansari–Bradley–David–Barton Tests; The Siegel–Tukey Test; The Klotz Normal-Scores Test; The Percentile Modified Rank Tests for Scale; The Sukhatme Test; Confidence-Interval Procedures; Other Tests for the Scale Problem; Applications Tests of the Equality of k Independent Samples ; Introduction; Extension of the Median Test; Extension of the Control Median Test; The Kruskal–Wallis One-Way ANOVA Test and Multiple Comparisons; Other Rank-Test Statistics; Tests against Ordered Alternatives; Comparisons with a Control Measures of Association for Bivariate Samples ; Introduction: Definition of Measures of Association in a Bivariate Population; Kendall’s Tau Coefficient; Spearman’s Coefficient of Rank Correlation; The Relations between R and T ; E(R), τ, and ρ ; Another Measure of Association; Applications Measures of Association in Multiple Classifications; Introduction; Friedman’s Two-Way Analysis of Variance by Ranks in a k × n Table and Multiple Comparisons; Page’s Test for Ordered Alternatives; The Coefficient of Concordance for k Sets of Rankings of n Objects; The Coefficient of Concordance for k Sets of Incomplete Rankings; Kendall’s Tau Coefficient for Partial Correlation Asymptotic Relative Efficiency; Introduction; Theoretical Bases for Calculating the ARE; Examples of the Calculations of Efficacy and ARE Analysis of Count Data ; Introduction; Contingency Tables; Some Special Results for k × 2 Contingency Tables; Fisher’s Exact Test; McNemar’s Test; Analysis of Multinomial Data Summary Appendix of Tables Answers to Problems References Index A Summary and Problems appear at the end of each chapter.
• Edition: 5th ed
• Publisher Details: Place of publication not identified : Chapman and Hall/CRC
• Publication Date: 2010
• Extent: 1 online resource (650 pages), (123 illustrations)
• Subjects: 519.54; Nonparametric statistics
• Languages: English
• ISBNs: 9781439896129; 1439896127
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.