1 Concepts of Statistical Inference and the Binomial Distribution. - 1 Introduction. - 2 Probability Distributions. - 3 Estimators and their Properties. - 4 Hypothesis Testing. - 5 Randomized Test Procedures. - 6 Confidence Regions. - 7 Properties of One-Tailed Procedures. - 8 Choice of Two-Tailed Procedures and their Properties. - 9 Appendices to Chapter 1. - Problems. - 2 One-Sample and Paired-Sample Inferences Based on the Binomial Distribution. - 1 Introduction. - 2 Quantile Values. - 3 The One-Sample Sign Test for Quantile Values. - 4 Confidence Procedures Based on the Sign Test. - 5 Interpolation between Attainable Levels. - 6 The Sign Test with Zero Differences. - 7 Paired Observations. - 8 Comparing Proportions using Paired Observations. - 9 Tolerance Regions. - Problems. - 3 One-Sample and Paired-Sample Inferences Based on Signed Ranks. - 1 Introduction. - 2 The Symmetry Assumption or Hypothesis. - 3 The Wilcoxon Signed-Rank Test. - 4 Confidence Procedures Based on the Wilcoxon Signed-Rank Test. - 5 A Modified Wilcoxon Procedure. - 6 Zeros and Ties. - 7 Other Signed-Rank Procedures. - 8 Invariance and Signed-Rank Procedures. - 9 Locally Most Powerful Signed-Rank Tests 181 Problems. - 4 One-Sample and Paired-Sample Inferences Based on the Method of Randomization. - 1 Introduction. - 2 Randomization Procedures Based on the Sample Mean and Equivalent Criteria. - 3 The General Class of One-Sample Randomization Tests. - 4 Most Powerful Randomization Tests. - 5 Obervation-Randomization versus Rank-Randomization Tests. - Problems. - 5 Two-Sample Rank Procedures for Location. - 1 Introduction. - 2 The Shift Assumption. - 3 The Median Test Other Two-Sample Sign Tests and Related Confidence Procedures. - 4 Procedures Based on Sums of Ranks. - 5 Procedures Based on Sums of Scores. - 6 Two-Sample Rank Tests and theY X Differences. - 7 Invariance and Two-Sample Rank Procedures. - 8 Locally Most Powerful Rank Tests. - Problems. - 6 Two-Sample Inferences Based on the Method of Randomization. - 1 Introduction. - 2 Randomization Procedures Based on the Difference Between Sample Means and Equivalent Criteria. - 3 The Class of Two-Sample Randomization Tests. - 4 Most Powerful Randomization Tests. - Problems. - 7 Kolmogorov-Smirnov Two-Sample Tests. - 1 Introduction. - 2 Empirical Distribution Function. - 3 Two-Sample Kolmogorov-Smirnov Statistics. - 4 Null Distribution Theory. - 5 Ties. - 6 Performance. - 7 One-Sample Kolmogorov-Smirnov Statistics. - Problems. - 8 Asymptotic Relative Efficiency. - 1 Introduction. - 2 Asymptotic Behavior of Tests: Heuristic Discussion. - 3 Asymptotic Behavior of Point Estimators: Heuristic Discussion. - 4 Asymptotic Behavior of Confidence Bounds. - 5 Example. - 6 Definitions of Asymptotic Relative Efficiency. - 7 Pitman's Formula. - 8 Asymptotic Relative Efficiencies of One-Sample Procedures for Shift Families. - 9 Asymptotic Relative Efficiency of Procedures for Matched Pairs. - 10 Asymptotic Relative Efficiency of Two-Sample Procedures for Shift Families. - 11 Asymptotic Efficiency of Kolmogorov-Smirnov Procedures. - Problems. - Tables. - Table A Cumulative Standard Normal Distribution. - Table B Cumulative Binomial Distribution. - Table C Binomial Confidence Limits. - Table D Cumulative Probabilities for Wilcoxon Signed-Rank Statistic. - Table E Cumulative Probabilities for Hypergeometric Distribution. - Table F Cumulative Probabilities for Wilcoxon Rank Sum Statistic. - Table G Kolmogorov-Smirnov Two-Sample Statistic. Language: English