Abstract
To make qualified decisions when extrapolating results from a survey sample with imprecise tests requires careful handling of uncertainty. Both the imprecise test and uncertainty introduced by the sampling have to be taken into account in order to act optimally. This paper formulates an influence diagram with discrete and continuous nodes to handle an example typical for animal production: a veterinarian who – as part of a biosecurity program – has to decide whether to treat a herd of animals after inspecting a small fraction of them.
Our aim is to investigate the robustness of the obtained strategy by performing a two-way sensitivity analysis with respect to the proportion of false positives and false negatives of the test. Output of the analysis is a treatment map illustrating how the chosen strategy varies according to variation in these proportions. The map helps to investigate whether a certain variation is acceptable or if the test procedure has to be standardized in order to reduce variation. Objective of the paper is to be an appetizer to work more with the issues raised in obtaining a practical solution.
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References
Barnett, V.: Sample survey: Principles and methods. Edward Arnold, London (1991)
Anonymous: U.S Voluntary Johne’s Disease Herd Status Program for Cattle. Technical report, United States Animal Health Association (1998)
Alban, L., Stege, H., Dahl, J.: The new classification system for slaughter pig-herds in the danish salmonella surveillance-and-control program. Preventive Veterinary Medicine 1659, 1–14 (2001) (submitted for publication)
Baadsgaard, N.P.: Development of Clinical Monitoring Methods in Pig Health Management. PhD thesis, Department of Clinical Studies, The Royal Veterinary and Agricultural University and Department of Animal Health and Welfare, Research Center Foulum (2001)
Kristensen, K.: A collection of some statistical issues to consider when testing for GM seeds in conventional seed lots. Technical report, Biometry Research Unit, Danish Institute of Agricultural Sciences (2001)
Clement, R.: Making Hard Decisions: An Introduction to Decision Analysis. Duxbury Press, Boston (1996)
Johnson, W., Su, C.L., Gardner, I.: Sample size calculations for surveys to substantiate freedom of populations from infectious agents (2002) (submitted to Biometrics)
Hanson, T., Johnson, W., Gardner, I., Georgiadis, M.: Determining the infection status of a herd. Journal of Agricultural, Biological, and Environmental Statistics (2003) (in press)
Coupé, V.M.H., van der Gaag, L.C.: Practicable sensitivity analysis of Bayesian belief networks. Technical Report UU-CS-1998-10, Utrecht University, Department of Computer Science (1998)
Nielsen, T.D., Jensen, F.V.: Sensitivity analysis in influence diagrams. IEEE Transactions on Systems Man and Cybernetics (2001) (submitted for publication)
Höhle, M., Kristiansen, B.: Sensitivity analysis in Bayesian networks and influence diagrams (1998), http://www.dina.dk/~hoehle/pubs/sensitivity.pdf
Waterloo Maple Inc.: Maple 6.02 (2001)
Lauritzen, S.L.: Graphical Models. Oxford University Press, Oxford (1996)
Jensen, F.V.: Bayesian Networks and Decision Graphs. Statistics for Engineering and Information Science. Springer, Heidelberg (2001)
Spiegelhalter, D., Thomas, A., Best, N.: WinBUGS Version 1.2 User Manual. MRC Biostatistics Unit (1999)
Cameron, A., Baldock, F.: A new probability formula for surveys to substantiate freedom from disease. Prev. Vet. Medicine 34, 1–17 (1998)
Lauritzen, S.L., Nilsson, D.: Representing and solving decision problems with limited information. Management Science 47, 1235–1251 (2001)
Charnes, J., Shenoy, P.: A forward Monte Carlo method for solving influence diagrams using local computation. Working paper No. 273, School of Business, University of Kansas (2000)
Bielza, C., Müller, P., Insua, D.: Decision analysis by augmented probability simulation. Management Science 45, 995–1007 (1999)
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Höhle, M., Jørgensen, E. (2003). Decision Making Based on Sampled Disease Occurrence in Animal Herds. In: Nielsen, T.D., Zhang, N.L. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2003. Lecture Notes in Computer Science(), vol 2711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45062-7_18
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DOI: https://doi.org/10.1007/978-3-540-45062-7_18
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