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Are Performance Weights Beneficial? Investigating the Random Expert Hypothesis

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Expert Judgement in Risk and Decision Analysis

Abstract

Expert elicitation plays a prominent role in fields where the data are scarce. As consulting multiple experts is critical in expert elicitation practices, combining various expert opinions is an important topic. In the Classical Model, uncertainty distributions for the variables of interest are based on an aggregation of elicited expert percentiles. Aggregation of these expert distributions is accomplished using linear opinion pooling relying on performance-based weights that are assigned to each expert. According to the Classical Model, each expert receives a weight that is a combination of the expert’s statistical accuracy and informativeness for a set of questions, the values of which are unknown at the time the elicitation was conducted. The former measures “correspondence with reality,” a measure of discrepancy between the observed relative frequencies of seed variables’ values falling within the elicited percentile values and the expected probability based on the percentiles specified in the elicitation. The later gauges an expert’s ability to concentrate high probability mass in small interquartile intervals. Some critics argue that this performance-based model fails to outperform the models that assign experts equal weights. Their argument implies that any observed difference in expert performance is just due to random fluctuations and is not a persistent property of an expert. Experts should therefore be treated equally and equally weighted. However, if differences in experts’ performances are due to random fluctuations, then hypothetical experts created by randomly recombining the experts’ assessments should perform statistically as well as the actual experts. This hypothesis is called the random expert hypothesis. This hypothesis is investigated using 44 post-2006 professional expert elicitation studies obtained through the TU Delft database. For each study, 1000 hypothetical expert panels are simulated whose elicitations are a random mix of all expert elicitations within that study. Results indicate that actual expert statistical accuracy performance is significantly better than that of randomly created experts. The study does not consider experts’ informativeness but still provides strong support for performance-based weighting as in the Classical Model.

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Correspondence to Deniz Marti .

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Appendix

Appendix

Data references table

Study name

References

UMD

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Aspinall & Associates (2006). REBA Elicitation. Commercial-in-confidence report, pp. 26

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Ismail and Reid (2006). “Ask the Experts” presentation

ATCEP

Morales-Nápoles, O., Kurowicka, D., & Cooke, R. (2008). EEMCS final report for the causal modeling for air transport safety (CATS) project

Daniela

Forys, M.B., Kurowicka, D., Peppelman, B.(2013) “A probabilistic model for a gas explosion due to leakages in the grey cast iron gas mains” Reliability Engineering & System Safety volume 119, issue, year 2013, pp. 270–279

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Tyshenko, M.G., S. ElSaadany, T. Oraby, M. Laderoute, J. Wu, W. Aspinall and D. Krewski (2011) Risk Assessment and Management of Emerging Blood-Borne Pathogens in Canada: Xenotropic Murine Leukaemia Virus-Related Virus as a Case Study for the Use of a Precautionary Approach. Chapter in: Risk Assessment (ISBN 979-953-307-765-8)

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Colson, Abigail R., Sweta Adhikari, Ambereen Sleemi, and Ramanan Laxminarayan. (2015) “Quantifying Uncertainty in Intervention Effectiveness with Structured Expert Judgment: An Application to Obstetric Fistula.” BMJ Open, 1–8. https://doi.org/10.1136/bmjopen-2014-007233

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FCEP

Leontaris, G., & Morales-Nápoles, O. (2018). ANDURIL—A MATLAB toolbox for ANalysis and Decisions with UnceRtaInty: Learning from expert judgments. SoftwareX, 7, 313–317

Sheep

Hincks, T., Aspinall, W. and Stone, J. (2015) Expert judgement elicitation exercise to evaluate Sheep Scab control measures: Results of the Bayesian Belief Network analysis. University of Bristol PURE Repository Working Paper (forthcoming)

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Fischer K, Lewandowski D, Janssen MP. Estimating unknown parameters in haemophilia using expert judgement elicitation. Haemophilia. 2013 Sep;19(5):e282–e288

Liander

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PHAC

Oraby,T., Tyshenko, M.G., Westphal, M., Darshan, S., Croteau, M., Aspinall, W., Elsaadany, S., Cashman, N. and Krewski, D. (2011) Using Expert Judgments to Improve Chronic Wasting Disease Risk Management in Canada. Journal of Toxicology and Environmental Health, in press. Volume 74, Issue 2-4, 2011 Special Issue: Prion Research in Perspective 2010

TOPAZ

Scourse, E., Aspinall, W.P. and Chapman, N. (2014) Using expert elicitation to characterise long-term tectonic risks to radioactive waste repositories in Japan. Journal of Risk Research, https://doi.org/10.1080/13669877.2014.971334

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TDC

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GL

Rothlisberger,J.D. Finnoff, D.C. Cooke,R.M. and Lodge, D.M. (2012) “Ship-borne nonindigenous species diminish Great Lakes ecosystem services” Ecosystems (2012) 15: 462–476 https://doi.org/10.1007/s10021-012-9522-6

Rothlisberger, J.D., Lodge, D.M. Cooke, R.M. and Finnoff, D.C. (2009) “Future declines of the binational Laurentian Great Lakes fisheries: recognizing the importance of environmental and cultural change” Frontiers in Ecology and the Environment; https://doi.org/10.1890/090002

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YTBID (CDC)

Colson, Abigail R., M.A. Cohen, S. Regmi, A. Nandi, R. Laxminarayan (2015) “Structured Expert Judgment for Informing the Return on Investment in Surveillance: The Case of Environmental Public Health Tracking.” Working Paper. Center for Disease Dynamics, Economics & Policy

Gerestenberger

Gerstenberger, M. C., et al. (2016). “A Hybrid Time‐Dependent Probabilistic Seismic‐Hazard Model for Canterbury, New Zealand.” Seismological Research Letters. Vol. 87 Doi: https://doi.org/10.1785/0220160084

Gerstenberger, M.C.; McVerry, G.H.; Rhoades, D.A.; Stirling, M.W. (2014) Seismic hazard modeling for the recovery of Christchurch, New Zealand.Earthquake Spectra, 30(1): 17–29; https://doi.org/10.1193/021913eqs037m

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CWD

Tyshenko, M.G., ElSaadany, S., Oraby, T., Darshan, S., Catford, A., Aspinall, W., Cooke, R. and Krewski, D. (2012) Expert judgement and re-elicitation for prion disease risk uncertainties. International Journal of Risk Assessment and Management, 16(1–3), 48–77. https://doi.org/10.1504/ijram.2012.047552

Tyshenko, M.G., S. ElSaadany, T. Oraby, S. Darshan, W. Aspinall, R. Cooke, A. Catford, and D. Krewski (2011) Expert elicitation for the judgment of prion disease risk uncertainties. J Toxicol Environ Health A.; 74(2–4):261–285

Oraby,T., Tyshenko, M.G., Westphal, M., Darshan, S., Croteau, M., Aspinall, W., Elsaadany, S., Cashman, N. and Krewski, D. (2011) Using Expert Judgments to Improve Chronic Wasting Disease Risk Management in Canada. Journal of Toxicology and Environmental Health, in press. Volume 74, Issue 2–4, 2011 Special Issue: Prion Research in Perspective 2010

Nebraska

Attribution study for Robert Wood Johnson Covering Kids & Families in Pennsylvania, Washington, Nebraska, Illinois, Arkansas, and Florida, conducted by Center for Disease Dynamics, Economics & Policy, 2012

San Diego

Attribution study for Robert Wood Johnson Covering Kids & Families in Pennsylvania, Washington, Nebraska, Illinois, Arkansas, and Florida, conducted by Center for Disease Dynamics, Economics & Policy, 2012

BFIQ

Colson, A. Cooke, R.M., Lutter, Randall, (2016) How Does Breastfeeding Affect IQ? Applying the Classical Model of Structured Expert Judgment, Resources for the Future, RFF DP16–28 http://www.rff.org/research/publications/how-does-breastfeeding-affect-iq-applying-classical-model-structured-expert

France

Abigail R. Colson, Itamar Megiddo, Gerardo Alvarez-Uria, Sumanth Gandra, Tim Bedford, Alec Morton, Roger M. Cooke, Ramanan Laxminarayan (ns). “Quantifying Uncertainty about Future Antimicrobial Resistance: Comparing Structured Expert Judgment and Statistical Forecasting Methods.”

Italy

Abigail R. Colson, Itamar Megiddo, Gerardo Alvarez-Uria, Sumanth Gandra, Tim Bedford, Alec Morton, Roger M. Cooke, Ramanan Laxminarayan (ns). “Quantifying Uncertainty about Future Antimicrobial Resistance: Comparing Structured Expert Judgment and Statistical Forecasting Methods.”

Spain

Abigail R. Colson, Itamar Megiddo, Gerardo Alvarez-Uria, Sumanth Gandra, Tim Bedford, Alec Morton, Roger M. Cooke, Ramanan Laxminarayan (ns). “Quantifying Uncertainty about Future Antimicrobial Resistance: Comparing Structured Expert Judgment and Statistical Forecasting Methods.”

UK

Abigail R. Colson, Itamar Megiddo, Gerardo Alvarez-Uria, Sumanth Gandra, Tim Bedford, Alec Morton, Roger M. Cooke, Ramanan Laxminarayan (ns). “Quantifying Uncertainty about Future Antimicrobial Resistance: Comparing Structured Expert Judgment and Statistical Forecasting Methods.”

Arkansas

Attribution study for Robert Wood Johnson Covering Kids & Families in Pennsylvania, Washington, Nebraska, Illinois, Arkansas, and Florida, conducted by Center for Disease Dynamics, Economics & Policy, 2012.

CoveringKids

Attribution study for Robert Wood Johnson Covering Kids & Families in Pennsylvania, Washington, Nebraska, Illinois, Arkansas, and Florida, conducted by Center for Disease Dynamics, Economics & Policy, 2012

dcpn_Fistula

Aspinall,W. Devleesschauwer, B. Cooke, R.M., Corrigan,T., Havelaar, A.H., Gibb, H., Torgerson, P., Kirk, M., Angulo, F., Lake, R., Speybroeck, N., and Hoffmann, S. (2015) World Health Organization estimates of the relative contributions of food to the burden of disease due to selected foodborne hazards: a structured expert elicitation. PLOS ONE,: January 19, 2016 https://doi.org/10.1371/journal.pone.0145839

Florida

Attribution study for Robert Wood Johnson Covering Kids & Families in Pennsylvania, Washington, Nebraska, Illinois, Arkansas, and Florida, conducted by Center for Disease Dynamics, Economics & Policy, 2012

Illinois

Attribution study for Robert Wood Johnson Covering Kids & Families in Pennsylvania, Washington, Nebraska, Illinois, Arkansas, and Florida, conducted by Center for Disease Dynamics, Economics & Policy, 2012

Obesity

Colson, Abigail R., R.M. Cooke, R. Laxminarayan. (2015) “Attributing Impact to a Charitable Foundation’s Programs with Structured Expert Judgment.” Working Paper. Center for Disease Dynamics, Economics & Policy

Tobacco

Colson, Abigail R., R.M. Cooke, R. Laxminarayan. (2015) “Attributing Impact to a Charitable Foundation’s Programs with Structured Expert Judgment.” Working Paper. Center for Disease Dynamics, Economics & Policy

Washington

Attribution study for Robert Wood Johnson Covering Kids & Families in Pennsylvania, Washington, Nebraska, Illinois, Arkansas, and Florida, conducted by Center for Disease Dynamics, Economics & Policy, 2012

cdc-roi

Colson, Abigail R., M.A. Cohen, S. Regmi, A. Nandi, R. Laxminarayan (2015) “Structured Expert Judgment for Informing the Return on Investment in Surveillance: The Case of Environmental Public Health Tracking.” Working Paper. Center for Disease Dynamics, Economics & Policy

IQ-earn

Randall Lutter, Abigail Colson, and Roger Cooke (ns), (ns), “Effects of Increases in IQ in India on the Present Value of Lifetime Earnings

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Marti, D., Mazzuchi, T.A., Cooke, R.M. (2021). Are Performance Weights Beneficial? Investigating the Random Expert Hypothesis. In: Hanea, A.M., Nane, G.F., Bedford, T., French, S. (eds) Expert Judgement in Risk and Decision Analysis. International Series in Operations Research & Management Science, vol 293. Springer, Cham. https://doi.org/10.1007/978-3-030-46474-5_3

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