1. Try the following parameters:
    base rate: .80
    true positive: .50
    false positive: .50

    Compare P(D|T) to P(D) to determine whether the test has any usefulness.

  2. Try the following parameters:
    base rate: .01
    true positive: .99
    false positive: .05

    Notice that even though the test is very accurate, most of the people diagnosed testing positive do not have the disease.

  3. Suppose a test of suicidal behavior has a hit rate of .85 and a false positive rate of 0.10. Further suppose that the rate of suicide attempts in a college were 0.05. If the test were given to all students in the college and those testing positive were hospitalized to prevent suicide, what proportion of those hospitalized would have attempted suicide.

  4. Tryout various other combinations of the parameters and explore the results.