Erkenntnis

, Volume 81, Issue 1, pp 155–181

Evaluating Test Cases for Probabilistic Measures of Coherence

Original Article

DOI: 10.1007/s10670-015-9734-1

Cite this article as:
Koscholke, J. Erkenn (2016) 81: 155. doi:10.1007/s10670-015-9734-1

Abstract

How can we determine the adequacy of a probabilistic coherence measure? A widely accepted approach to this question besides formulating adequacy constraints is to employ paradigmatic test cases consisting of a scenario providing a joint probability distribution over some specified set of propositions coupled with a normative coherence assessment for this set. However, despite the popularity of the test case approach, a systematic evaluation of the proposed test cases is still missing. This paper’s aim is to change this. Using a custom written computer program for the necessary probabilistic calculations a large number of coherence measures in an extensive collection of test cases is examined. The result is a detailed overview of the test case performance of any probabilistic coherence measures proposed so far. It turns out that none of the popular coherence measures such as Shogenji’s, Glass’ and Olsson’s, Fitelson’s or Douven and Meijs’ but two rather unnoticed measures perform best. This, however, does not mean that the other measures can be rejected straightforwardly. Instead, the results presented here are to be understood as a contribution among others to the project of finding adequate probabilistic coherence measures.

Funding information

Funder NameGrant NumberFunding Note
Deutsche Forschungsgemeinschaft
  • SI 173/1-1

Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Philosophy DepartmentUniversity of OldenburgOldenburgGermany

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