(a) Imagine that a close friend has been diagnosed with heart disease. The physician recommends bypass surgery....
Question:
(a) Imagine that a close friend has been diagnosed with heart disease. The physician recommends bypass surgery. The surgery should solve the problem. When asked about the risks, the physician replies that a few individuals die during the operation, but most recover and the surgery is a complete success. Thus, your friend can (most likely) anticipate a longer and healthier life after the surgery. Without surgery, your friend will have a shorter and gradually deteriorating life. Assuming that your friend’s objective is to maximize the quality of her life, construct a decision tree for this scenario.
(b) Suppose now that your friend obtains a second opinion. The second physician suggests that there is a third possible outcome: Complications from surgery can develop which will require long and painful treatment. If this happens, the eventual outcome can be either a full recovery, partial recovery (restricted to a wheelchair until death) or death within a few months. Draw the influence diagram that represents the situation after hearing from both physicians. How does this change the decision tree that you created in part (a)?
Making Hard Decisions with decision tools
ISBN: 978-0538797573
3rd edition
Authors: Robert Clemen, Terence Reilly