Applied Nonparametric Statistical Methods
In: Springer eBook Collection
1 Introducing nonparametric methods -- 1.1 Basic statistics -- 1.2 Hypothesis tests -- 1.3 Estimation -- 1.4 Samples and populations -- 1.5 Further reading -- 1.6 Computers and nonparametric methods -- Exercises -- 2 Location estimates for single samples -- 2.1 The sign test -- 2.2 Inferences about medians based on ranks -- 2.3 Other location estimators -- 2.4 Fields of application -- Exercises -- 3 Distribution tests and rank transformations for single samples -- 3.1 Matching samples to distributions -- 3.2 Robustness -- 3.3 Transformations of ranks -- 3.4 Practical implications of efficiency -- 3.5 Modified assumptions -- 3.6 Fields of application -- Exercises -- 4 Methods for paired samples -- 4.1 Comparisons in pairs -- 4.2 A less obvious use of the sign test -- 4.3 Fields of application -- Exercises -- 5 Tests and estimation for two independent samples -- 5.1 Location tests and estimates -- 5.2 Wilcoxon—Mann—Whitney confidence intervals -- 5.3 Tests on functions of ranks -- 5.4 Tests for equality of variance -- 5.5 A test for a common distribution -- 5.6 Fields of application -- Exercises -- 6 Three or more samples -- 6.1 Possible extensions -- 6.2 Location tests for independent samples -- 6.3 Tests for heterogeneity of variance for independent samples -- 6.4 Further tests for several independent samples -- 6.5 Location comparisons for related samples -- 6.6 Fields of application -- Exercises -- 7 Bivariate and multivariate data -- 7.1 Correlation in bivariate data -- 7.2 Nonparametric bivariate linear regression -- 7.3 Monotonie regression -- 7.4 Multivariate data -- 7.5 Fields of application -- Exercises -- 8 Counts and categories -- 8.1 Categorical data -- 8.2 Tests for independence in two-way tables -- 8.3 The log-linear model -- 8.4 Goodness of fit tests for discrete data -- 8.5 Fields of application -- Exercises -- 9 Robustness, jackknives and bootstraps -- 9.1 The computer and robustness -- 9.2 Jackknives and bootstraps -- 9.3 Fields of application -- Exercises -- 10 Looking ahead -- 10.1 Nonparametric methods in a wider context -- 10.2 Developments from basic techniques -- 10.3 More sophisticated developments -- 10.4 The Bayesian approach -- A1 Random variables -- A2 Permutations and combinations -- A6 Least squares regression -- A7 Data sets -- A8 Tables of critical values for nonparametric methods -- References -- Solutions to odd-numbered exercises.