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Testing Statistical Hypotheses of Equivalence
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Stefan Wellek
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INTRODUCTION
- Demonstration of Equivalence as a Basic Problem of Applied Statistics
- Formalization of the Statistical Notion of Equivalence
- Major Fields of Application of Equivalence Tests
- Choosing the Main Distributional Parameter
- Numerical Specification of the Limits of Equivalence
METHODS FOR ONE-SIDED EQUIVALENCE PROBLEMS
- Objective of a One-Sided Equivalence Trial and Formulation of Hypotheses
- Standard Solution for Location Parameter Families
- Exact Two-Sample Tests for Binomial Distributions
GENERAL APPROACHES TO THE CONSTRUCTION OF TESTS FOR EQUIVALENCE IN THE STRICT SENSE
- The Principle of Confidence Interval Inclusion
- Bayesian Tests for Equivalence
- The Classical Approach to Deriving Optimal Parametric Tests for Equivalence Hypotheses
- Construction of Asymptotic Tests for Equivalence
EQUIVALENCE TESTS FOR SELECTED ONE-PARAMETER PROBLEMS
- The One-Sample Problem with Normally Distributed Observations of Known Variance
- Test for Equivalence of a Hazard Rate to Some Given Reference Value with Exponentially Distributed Survival Times
- Testing for Equivalence of a Single Binomial Proportion to a Fixed Reference Success Probability
- Confidence-Interval Inclusion Rules as Asymptotically UMP Tests for Equivalence
EQUIVALENCE TESTS FOR DESIGNS WITH PAIRED OBSERVATIONS
- Sign Test for Equivalence
- Equivalence Tests for the McNemar Setting
- Paired t-Test for Equivalence
- Signed Rank Test for Equivalence
- A Generalization of the Signed Rank Test for Equivalence for Noncontinuous Data
EQUIVALENCE TESTS FOR TWO UNRELATED SAMPLES
- Two-Sample t-Test for Equivalence
- Mann-Whitney Test for Equivalence
- A distribution-Free Two-Sample Equivalence Test Allowing for Arbitrary Patterns of Ties
- Testing for Dispersion Equivalence of Two Gaussian Distributions
- Equivalence Tests for Two Binomial Samples
- Log-Rank Test for Equivalence of Two Survivor Functions
MULTI-SAMPLE TESTS FOR EQUIVALENCE
- The Intersection-Union Principle as a General Solution to Multi-Sample Equivalence Problems
- F-Test for Equivalence of k Normal Distributions
- Modified Studentized Range Test for Equivalence
- Testing for Dispersion Equivalence of More than Two Gaussian Distributions
- A Nonparametric k-Sample Test for Equivalence
TESTS FOR ESTABLISHING GOODNESS OF FIT
- Testing for Equivalence of a Single Multinomial Distribution with a
Fully Specified Reference Distribution
- Testing for Approximate Collapsibility of Multiway Contingency Tables
- Establishing Goodness of Fit of Linear Models for Normally Distributed Data
THE ASSESSMENT OF BIO-EQUIVALENCE
- Introduction
- Methods of Testing for Average Bioequivalence
- Individual Bioequivalence: Criteria and Testing Procedures
- Approaches to Defining and Establishing Population Bioequivalence
- Bioequivalence Assessment as a Problem of Comparing Bivariate Distributions
APPENDIX
REFERENCES
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