Aggregating multiple probability intervals to improve calibration

We apply the principles of the “Wisdom of Crowds (WoC)” to improve the calibration of interval estimates. Previous research has documented the significant impact of the WoC on the accuracy of point estimates but only a few studies have examined its effectiveness in aggregating interval estimates. We...

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Main Authors: Saemi Park, David V. Budescu
Format: Article
Language:English
Published: Cambridge University Press 2015-03-01
Series:Judgment and Decision Making
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S1930297500003910/type/journal_article
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author Saemi Park
David V. Budescu
author_facet Saemi Park
David V. Budescu
author_sort Saemi Park
collection DOAJ
description We apply the principles of the “Wisdom of Crowds (WoC)” to improve the calibration of interval estimates. Previous research has documented the significant impact of the WoC on the accuracy of point estimates but only a few studies have examined its effectiveness in aggregating interval estimates. We demonstrate that collective probability intervals obtained by several heuristics can reduce the typical overconfidence of the individual estimates. We re-analyzed data from Glaser, Langer and Weber (2013) and from Soll and Klayman (2004) and applied four heuristics Averaging, Median, Enveloping, Probability averaging-suggested by Gaba, Tsetlin and Winkler (2014) and new heuristics, Averaging with trimming and Quartiles. We used the hit rate and the Mean Squared Error (MSE) to evaluate the quality of the methods. All methods reduced miscalibration to some degree, and Quartiles was the most beneficial securing accuracy and informativeness.
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spelling doaj.art-68083682ba7f4b89808ada44353383272023-09-03T12:43:18ZengCambridge University PressJudgment and Decision Making1930-29752015-03-011013014310.1017/S1930297500003910Aggregating multiple probability intervals to improve calibrationSaemi Park0David V. Budescu1Department of Psychology, Fordham UniversityCorresponding author: Department of Psychology, Fordham University, Dealy Hall, 411 East Fordham Road, Bronx, NY, 10458We apply the principles of the “Wisdom of Crowds (WoC)” to improve the calibration of interval estimates. Previous research has documented the significant impact of the WoC on the accuracy of point estimates but only a few studies have examined its effectiveness in aggregating interval estimates. We demonstrate that collective probability intervals obtained by several heuristics can reduce the typical overconfidence of the individual estimates. We re-analyzed data from Glaser, Langer and Weber (2013) and from Soll and Klayman (2004) and applied four heuristics Averaging, Median, Enveloping, Probability averaging-suggested by Gaba, Tsetlin and Winkler (2014) and new heuristics, Averaging with trimming and Quartiles. We used the hit rate and the Mean Squared Error (MSE) to evaluate the quality of the methods. All methods reduced miscalibration to some degree, and Quartiles was the most beneficial securing accuracy and informativeness.https://www.cambridge.org/core/product/identifier/S1930297500003910/type/journal_articleoverconfidencesubjective probabilityprobability intervalshit rateWisdom of Crowds
spellingShingle Saemi Park
David V. Budescu
Aggregating multiple probability intervals to improve calibration
Judgment and Decision Making
overconfidence
subjective probability
probability intervals
hit rate
Wisdom of Crowds
title Aggregating multiple probability intervals to improve calibration
title_full Aggregating multiple probability intervals to improve calibration
title_fullStr Aggregating multiple probability intervals to improve calibration
title_full_unstemmed Aggregating multiple probability intervals to improve calibration
title_short Aggregating multiple probability intervals to improve calibration
title_sort aggregating multiple probability intervals to improve calibration
topic overconfidence
subjective probability
probability intervals
hit rate
Wisdom of Crowds
url https://www.cambridge.org/core/product/identifier/S1930297500003910/type/journal_article
work_keys_str_mv AT saemipark aggregatingmultipleprobabilityintervalstoimprovecalibration
AT davidvbudescu aggregatingmultipleprobabilityintervalstoimprovecalibration