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Related Experiment Video

Updated: May 24, 2026

A Tactile Automated Passive-Finger Stimulator (TAPS)
19:44

A Tactile Automated Passive-Finger Stimulator (TAPS)

Published on: June 3, 2009

Philosophy and the practice of Bayesian statistics.

Andrew Gelman1, Cosma Rohilla Shalizi

  • 1Department of Statistics and Department of Political Science, Columbia University, New York, New York 10027, USA. gelman@stat.columbia.edu

The British Journal of Mathematical and Statistical Psychology
|February 28, 2012
PubMed
Summary

Bayesian statistics, often linked to inductive inference, actually aligns better with hypothetico-deductivism. This research clarifies Bayesian models, emphasizing model checking beyond traditional Bayesian confirmation theory for better scientific practice.

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Last Updated: May 24, 2026

A Tactile Automated Passive-Finger Stimulator (TAPS)
19:44

A Tactile Automated Passive-Finger Stimulator (TAPS)

Published on: June 3, 2009

Area of Science:

  • Philosophy of Science
  • Statistics
  • Social Science

Background:

  • The philosophy of science frequently equates Bayesian inference with inductive inference and rationality.
  • The practical success of Bayesian statistics has seemingly reinforced this philosophical viewpoint.

Purpose of the Study:

  • To challenge the identification of Bayesian inference with inductive inference.
  • To argue that successful Bayesian statistics better fits hypothetico-deductivism.
  • To clarify the role of prior distributions and model checking in Bayesian practice.

Main Methods:

  • Analysis of the role of prior distributions in Bayesian models.
  • Examination of model checking and revision processes.
  • Drawing on literature concerning Bayesian updating consistency and applied social science research.

Main Results:

  • The most successful Bayesian statistical applications do not support inductive inference as the sole philosophical basis.
  • Sophisticated forms of hypothetico-deductivism provide a better philosophical framework for Bayesian statistics.
  • Crucial aspects like model checking and revision are often outside the scope of Bayesian confirmation theory.

Conclusions:

  • The prevailing inductivist view in the philosophy of science may hinder robust statistical practice by de-emphasizing model checking.
  • A clearer understanding of Bayesian statistics' alignment with hypothetico-deductivism can benefit both philosophy of science and statistical practice.
  • Applied Bayesian statistics necessitates a framework that includes rigorous model checking and revision.