Abstract
In this chapter we will examine four basic methodologies and decision tools that are utilized in the CPBS approach to decision making. The first is Bayesian decision analysis, which forms the heart of the CPBS approach. Tests and measurements that are used to identify or detect a property of interest are generally not perfect. When tests are biased or inaccurate, it is often advantageous to use more than one test. The interpretation of a combination of test results can be problematic because there often exists a variable amount of information overlap (positive dependence) and differences (negative dependence) among the tests. It is a difficult problem to account for both the imperfection of the individual tests as well as their interdependencies in their joint interpretation.
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References
Anderberg, M. R., 1973, Cluster Analysis for Applications, Academic Press, New York.
Bellman, R. E., and Dreyfus, S. E., 1962, Applied Dynamic Programming, Princeton University Press, Princeton, New Jersey.
Berger, J. O., 1985, Statistical Decision Theory and Bayesian Analysis, 2nd edition, Springer-Verlag, New York.
Black, M., ed., 1975, Problems of Choice and Decision, proceedings of a colloquium in Aspen, Colorado, 24 June-6 July 1974, Cornell University Program on Science, Technology, and Society, Ithaca, New York.
Buchanan, J. T., 1982, Discrete and Dynamic Decision Analysis, Wiley-Interscience, Chichester, England.
Chankong, V., and Haimes, Y. Y., 1983, Multiobjective Decision Making: Theory and Methodology, Elsevier, North-Holland, New York.
Chankong, V., Haimes, Y. Y., Rosenkranz, H. R., and Pet-Edwards, J., 1985, “The carcinogenicity prediction and battery selection (CPBS) method: A Bayesian approach,” Mutation Res. 153:135–166.
Clifford, H. T., and Stephenson, W., 1975, An Introduction to Numerical Classification, Academic Press, New York.
Churchman, C. W., 1968, The Systems Approach, Dell, New York.
Dubes, R., and Jain, A. K., 1979, Clustering Methodologies in Exploratory Data Analysis, Department of Computer Science, Michigan State University, East Lansing, Michigan.
Easton, A., 1973, Complex Managerial Decisions Involving Multiple Objectives, Wiley, New York.
Finney, D., 1971, Probit Analysis, Cambridge University Press, Cambridge, England.
Gnanadesikan, R., Kettenring, J. R., and Landwehr, J. M., 1977, “Interpreting and assessing the results of cluster analysis,” Bull. Int. Statist. Inst., 47:451–463.
Goldstein, N., and Dillon, W. R., 1978, Discrete Discriminant Analysis, Wiley, New York.
Good, I. J., 1978, “Alleged objectivity: A threat to the human spirit,” International Statistical Review, 46:65–66.
Haimes, Y. Y., and Hall, W. A., 1974, “Multiobjectives in water resources systems analysis: The surrogate worth trade-off method,” Water Resources Res., 10:615–623.
Haimes, Y. Y., Hall, W. A., and Freedman, H. T., 1975, Multiobjective Optimization in Water Resources Systems. The Surrogate Worth Trade-Off Method, Elsevier, New York.
Hamaker, H. C., 1977, “Bayesianism: A Threat to the statistical profession?” Int. Stat. Rev., 45:111–115.
Holladay, C., 1979, Decision Making Under Uncertainty: Choices and Models, Prentice-Hall, Englewood Cliffs, New Jersey.
Intriligator, M. D., 1971, Mathematical Optimization and Economic Theory, Prentice-Hall, Englewood Cliffs, New Jersey.
Keeney, R., and Raifia, H., 1976, Decisions with Multiple Objectives, Wiley, New York.
Koopmans, T. C., 1951, “Analysis of production as an efficient combination of activities,” in Activity Analysis of Production and Allocation (T. C. Koopmans, ed.), Wiley, New York, pp. 33–97.
Kuhn, H. W., and Tucker, A. W., 1950, Contributions to the Theory of Games, Vol. 1, Princeton University Press, Princeton, New Jersey.
Lindley, D. V., 1985, Making Decisions, 2nd edition, Wiley, London.
Ling, R. F., 1972, “On the theory and construction of k-clusters,” Comput. J., 15:326–332.
Ling, R. F., 1973, “Probability theory of cluster analysis,” J. Am. Stat. Assoc, 68:159–164.
McKelvey, R. D., and Zavoina, W., 1975, “A statistical model for the analysis of ordinal level dependent variables,” J. Math. Sociol., 4:103–120.
Meisel, W. S., 1972, Computer-Oriented Approaches to Pattern Recognition, Academic Press, New York.
Moore, P. G., 1978, “The mythical threat of Bayesianism,” Int. Stat. Rev., 46:67–73.
Nemhauser, G. L., 1966, Introduction to Dynamic Programming, Wiley, New York.
Pet-Edwards, J., Rosenkranz, H. R., Chankong, V., and Haimes, Y. Y., 1985, “Cluster analysis in predicting the carcinogenicity of chemicals using short-term assays,” Mutation Res., 153:167–185.
Raiffa, H., 1968, Decision Analysis: Introductory Lectures on Choices Under Uncertainty, Addison-Wesley, Reading, Massachusetts.
Rigby, F. D., 1964, Heuristic analysis of decision situations, in Human Judgments and Optimality (M. W. Shelly II and G. L. Bryan, eds.), Wiley, New York.
Rosenkranz, H. R., Klopman, G., Chankong, V., Pet-Edwards, J., and Haimes, Y. Y., 1984, “Prediction of environmental carcinogens: A strategy for the mid 1980’s,” Environ. Mutagen., 6:231–258.
Savage, L. J., 1962, “Subjective probability and statistical practice,” in The Foundation of Statistical Inference (L. J. Savage, ed.), Methuen, London, pp. 9–35 (discussion pp. 62-103).
Savage, L. J., 1954, The Foundation of Statistics, Wiley, New York.
Smith, S. P., and Dubes, R. C., 1979, “The stability of hierarchical clustering,” Technical Report No. TR-79-02, Computer Science Department, Michigan State University, East Lansing, Michigan.
Steuer, R. E., 1986, Multiple Criteria Optimization: Theory, Computation, and Application, Wiley, New York.
Von Neumann, J., and Morgenstern, O., 1953, Theory of Games and Economic Behavior, 3rd. edition, Princeton University Press, Princeton.
Weinstein, M. C., Feinberg, H. V., Elstein, A. S., Frazier, H. S., Neuhauser, D., Neutra, R. R., and McNeil, B. J., 1980, Clinical Decision Analysis, W. B. Saunders, Philadelphia.
Winkler, R. L., 1972, Introduction to Bayesian Inference and Decision, Holt, Reinhart, and Winston, New York.
Yu, P. L., 1985, Multiple-Criteria Decision Making, Concepts, Techniques, and Extensions, Plenum Press, New York.
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© 1989 Plenum Press, New York
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Pet-Edwards, J., Haimes, Y.Y., Chankong, V., Rosenkranz, H.S., Ennever, F.K. (1989). Fundamental Basics of the CPBS Approach. In: Risk Assessment and Decision Making Using Test Results. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5595-3_2
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DOI: https://doi.org/10.1007/978-1-4684-5595-3_2
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