Ranking the Impact of Different Tests on a Hypothesis in a Bayesian Network

Testing of evidence in criminal cases can be limited by temporal or financial constraints or by the fact that certain tests may be mutually exclusive, so choosing the tests that will have maximal impact on the final result is essential. In this paper, we assume that a main hypothesis, evidence for i...

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Main Authors: Leila Schneps, Richard Overill, David Lagnado
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/20/11/856
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author Leila Schneps
Richard Overill
David Lagnado
author_facet Leila Schneps
Richard Overill
David Lagnado
author_sort Leila Schneps
collection DOAJ
description Testing of evidence in criminal cases can be limited by temporal or financial constraints or by the fact that certain tests may be mutually exclusive, so choosing the tests that will have maximal impact on the final result is essential. In this paper, we assume that a main hypothesis, evidence for it and possible tests for existence of this evidence are represented in the form of a Bayesian network, and use three different methods to measure the impact of a test on the main hypothesis. We illustrate the methods by applying them to an actual digital crime case provided by the Hong Kong police. We conclude that the Kullback⁻Leibler divergence is the optimal method for selecting the tests with the highest impact.
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spelling doaj.art-554f80b393e94cacb96ac134b9342a1e2022-12-22T04:00:38ZengMDPI AGEntropy1099-43002018-11-01201185610.3390/e20110856e20110856Ranking the Impact of Different Tests on a Hypothesis in a Bayesian NetworkLeila Schneps0Richard Overill1David Lagnado2Institut de Mathématiques de Jussieu, Paris 75013, FranceDepartment of Informatics, King’s College London, London WC2R 2LS, UKDepartment of Experimental Psychology, University College London, London WC1H 0AP, UKTesting of evidence in criminal cases can be limited by temporal or financial constraints or by the fact that certain tests may be mutually exclusive, so choosing the tests that will have maximal impact on the final result is essential. In this paper, we assume that a main hypothesis, evidence for it and possible tests for existence of this evidence are represented in the form of a Bayesian network, and use three different methods to measure the impact of a test on the main hypothesis. We illustrate the methods by applying them to an actual digital crime case provided by the Hong Kong police. We conclude that the Kullback⁻Leibler divergence is the optimal method for selecting the tests with the highest impact.https://www.mdpi.com/1099-4300/20/11/856Bayesian networksimpact measuresKullback–Leibler divergencetornado method
spellingShingle Leila Schneps
Richard Overill
David Lagnado
Ranking the Impact of Different Tests on a Hypothesis in a Bayesian Network
Entropy
Bayesian networks
impact measures
Kullback–Leibler divergence
tornado method
title Ranking the Impact of Different Tests on a Hypothesis in a Bayesian Network
title_full Ranking the Impact of Different Tests on a Hypothesis in a Bayesian Network
title_fullStr Ranking the Impact of Different Tests on a Hypothesis in a Bayesian Network
title_full_unstemmed Ranking the Impact of Different Tests on a Hypothesis in a Bayesian Network
title_short Ranking the Impact of Different Tests on a Hypothesis in a Bayesian Network
title_sort ranking the impact of different tests on a hypothesis in a bayesian network
topic Bayesian networks
impact measures
Kullback–Leibler divergence
tornado method
url https://www.mdpi.com/1099-4300/20/11/856
work_keys_str_mv AT leilaschneps rankingtheimpactofdifferenttestsonahypothesisinabayesiannetwork
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AT davidlagnado rankingtheimpactofdifferenttestsonahypothesisinabayesiannetwork