The ninth meeting of our Phil Stat Forum*:
The Statistics Wars
and Their Casualties
20 May 2021
TIME: 15:00-16:45 (London); 10:00-11:45 (New York, EST)
For information about the Phil Stat Wars forum and how to join, click on this link.
“Objective Bayesianism from a philosophical perspective”
Abstract: This talk addresses the ‘statistics war’ between frequentists and Bayesians, and argues for a reconciliation of sorts. We start with an overview of Bayesianism and a divergence that has taken place between Bayesianism as adopted by philosophers and Bayesianism as adopted by statisticians. This divergence centres around the use of direct inference principles, which are now widely advocated by philosophers. I consider two direct inference principles, Reichenbach’s Principle of the Narrowest Reference Class and Lewis’ Principal Principle, and I argue that neither can be adequately accommodated within a standard Bayesian framework. A non-standard version of objective Bayesianism, however, can accommodate such principles. I introduce this version of objective Bayesianism and explain how it integrates both frequentist and Bayesian inference. Finally, I illustrate the application of the approach to medicine and suggest that this sort of approach offers a very natural solution to the statistical matching problem, which is becoming increasingly important.
Jon Williamson (Centre for Reasoning, University of Kent) works in the area of philosophy of science and medicine. He works on the philosophy of causality, the foundations of probability, formal epistemology, inductive logic, and the use of causality, probability and inference methods in science and medicine. Williamson’s books Bayesian Nets and Causality and In Defence of Objective Bayesianism develop the view that causality and probability are features of the way we reason about the world, not a part of the world itself. His books Probabilistic Logics and Probabilistic Networks and Lectures on Inductive Logic apply recent developments in Bayesianism to motivate a new approach to inductive logic. His latest book, Evaluating Evidence of Mechanisms in Medicine, seeks to broaden the range of evidence considered by evidence-based medicine.
(1) Christian Wallmann and Jon Williamson: The Principal Principle and subjective Bayesianism, European Journal for the Philosophy of Science 10(1):3, 2020. doi:10.1007/s13194-019-0266-4 (Link to PDF)
Slides & Video Links:
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*Meeting 17 of our the general Phil Stat series which began with the LSE Seminar PH500 on May 21