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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 45139 (02)
- University: Sharif University of Technology
- Department: Mathematical Sciences
- Advisor(s): Alishahi, Kasra
- Abstract:
- The purpose of this thesis is to introduce and review a recent methods in simultaneous hypothesis testing. False discovery rates, Benjamini and Hochberg’s FDR Control Algorithm, is the great success story of the new methodology. Much of what follows is an attempt to explain that success in empirical Bayes terms.The later chapters are at pains to show the limitations of current largescale statistical practice: Which cases should be combined in a single analysis? How do we account for notions of relevance between cases? What is the correct null hypothesis? How do we handle correlations? Some helpful theory is provided in answer, but much of the argumentation is by example, with graphs and figures playing a major role
- Keywords:
- Simultaneous Hypothesis Test (SHT) ; False Discovery Rate ; Large Scale Inference
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