For Problem 3.14, obtain a 95% confidence interval for the odds ratio using

(a) The Woolf (i.e., Wald) interval,

(b) Cornfield’s ‘exact” approach, (c) the profile likelihood. In each case, note the effect of the zero cell count. Summarize advantages and disadvantages of each approach.

Data from Prob. 3.14:

A study considered the effect of prednisolone on severe hypercalcaemia in women with metastatic breast cancer (B. Kristensen et al., J. Intern. Med. 232: 237–245, 1992). Of 30 patients, 15 were randomly selected to receive prednisolone. The other 15 formed a control group. Normalization in their level of serum-ionized calcium was achieved by 7 of the treated patients and none of the control group. Analyze whether results were significantly better for treatment than for control. Interpret.