Abstract
Bayesian networks (BNs) are graphical tools of reasoning with uncertainties. In recent years, BNs have been increasingly recognized for their capacity to represent probabilistic dependencies explicitly and intuitively, handle incomplete information, and capture expert judgments along with hard data. In this chapter, we examine the underlying logic of BNs and discuss their applications.
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Notes
- 1.
We constructed all the Bayesian networks in this chapter using Netica® (Norsys Software Corp. http://www.norsys.com/).
- 2.
If the interpretation has a fixed relationship with the actual test, e.g., correct 80% of the time regardless of the test results, then we can keep the original network (Fig. 28.1), and simply provide evidences in probability terms, e.g., P(X-ray result = negative) = 0.80. The expanded network (Fig. 28.2) can handle more complex relationships, such as when the accuracy of the interpretation differs for a positive and a negative test result.
Abbreviations
- AUC:
-
Area under the ROC curve
- BN:
-
Bayesian network
- NPV:
-
Negative predictive value
- PPV:
-
Positive predictive value
- ROC:
-
Receiver operating characteristic
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Further Reading
Norman Fenton's website, http://www.dcs.qmw.ac.uk/~norman/BBNs/BBNs.htm, contains many useful information on probability theories and Bayesian networks
Norsys Corp's website, http://www.norsys.com/, provides useful information about belief networks and free trial version of Netica for downloading
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Ni, Z., Phillips, L.D., Hanna, G.B. (2010). The Use of Bayesian Networks in Decision-Making. In: Athanasiou, T., Debas, H., Darzi, A. (eds) Key Topics in Surgical Research and Methodology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71915-1_28
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