5131010Philosophy (Special Lectures)
| Numbering Code | G-LET01 65131 LJ34 | Year/Term | 2022 ・ Second semester | |
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| Number of Credits | 2 | Course Type | special lecture | |
| Target Year | Target Student | |||
| Language | English | Day/Period | Mon.2 | |
| Instructor name | OTSUKA JUN (Graduate School of Letters Associate Professor) | |||
| Outline and Purpose of the Course | Statistics plays a privileged role in modern scientific and inductive reasoning. This class develops the topics discussed in "The philosophy of statistics" course offered in the previous year (2021 Spring) and gives in-depth analyses of the philosophical aspects and implications of statistics. | |||
| Course Goals |
- Understand the modern framework of inductive reasoning, including statistics and decision theory. - Understand the philosophical views behind statistics. - Understand the relationship between statistics and philosophical concepts (such as intrinsic/extrinsic epistemology and possible worlds, or hierarchical Bayes and bootstrapping). |
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| Schedule and Contents |
The entire course will be divided into (1) basic and introductory topics, (2) Bayesian statistics, (3) frequentist statistics, and (4) advanced topics, with three to four lessons for each topic. 1. Basic and introductory topics - Orientation - Fundamentals of the philosophy of statistics (2 sessions) - Ontology and epistemology of statistics - Bayesian statistics and classical statistics 2. Bayesian statistics - Decision Theory and Representation Theorem of Probability - Hierarchical Bayes - Computational Bayes 3. Frequency principle - Likelihood Principle - Confidence intervals and possible worlds - Epistemology of Bootstrap Statistics 4. Advanced topics - Information Geometry - Causal inference and information geometry - Backup and summary (1 time) - Feedback |
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| Evaluation Methods and Policy |
- Unit-based assignments and short reports (40%) - Final report (60%) |
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| Course Requirements | Students should have taken the course "Philosophy of Statistics" offered in 2021 or other statistics courses. | |||
| Study outside of Class (preparation and review) | Read the assigned texts before each class. | |||
| Textbooks | Textbooks/References | Thinking About Statistics: The Philosophical Foundations, Jun Otsuka, (Routledge ), To be published in Fall 2022 | ||
| Related URL | ||||
