This book concerns testing hypotheses in non-parametric models. Classical non-parametric tests (goodness-of-fit, homogeneity, randomness, independence) of complete data are considered. Most of the test results are proved and real applications are illustrated using examples. Theories and exercises are provided. The incorrect use of many tests applying most statistical software is highlighted and discussed.
Chapter 1. Introduction
Chapter 2. Chi-squared Tests
Chapter 3. Goodness-of-fit Tests Based on Empirical Processes
Chapter 4. Rank Tests
Chapter 5. Other Non-parametric Tests
