- 1 INTRODUCTION
- 2 THE NEYMAN-PEARSON PARADIGM
- 3 CONTROL OF THE SIZE OF A TEST
- 3.1 p-Values
- 3.2 The Bahadur-Savage Result
- 4 OPTIMALITY CONSIDERATIONS
- 4.1 UMPU Tests
- 4.2 Conditional Tests
- 4.3 UMPI Tests
- 4.4 Monotone Tests
- 4.5 Maximin Tests
- 4.6 Tests Maximizing Average or Weighted Power
- 4.7 Locally Most Powerful Tests
- 5 LARGE-SAMPLE CONSIDERATIONS
- 5.1 Asymptotic Optimality
- 6 METHODS FOR HYPOTHESIS TESTING
- 6.1 Testing in Parametric Models using Likelihood Methods
- 6.2 Testing in the Extremum Estimation Framework
- 7 CONSTRUCTION OF CRITICAL VALUES
- 7.1 Randomization Methods
- 7.2 Bootstrap
- 7.3 Subsampling
- 8 MULTIPLE TESTING
- 8.1 Motivation
- 8.2 Notation and Various Error Rates
- 8.3 Single-step vs. Stepwise Methods
- 8.4 Methods Based on Individual p-Values
- 8.5 Resampling Methods Accounting for Dependence
- References
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