# Report point estimate and a 99 confidence interval

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notations as needed. Report point estimate and a 99% confidence interval for the corre- sponding odds ratio relating ectopic pregnancy to pelvic inflammatory disease. Do you expect these results to be the same as those from the 2 × 2 table analysis in (b)? 1

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2. A study was carried out to investigate the effect of a new drug in reducing operative mortality following major abdominal surgery. Patients were assigned to treatment or control groups within each of three categories of surgical risk: high, medium and low. The results were as follows: Surgical Risk Treatment Outcome Low Medium High Control Died 3 7 6 Survived 12 6 3 Treated Died 2 3 2 Survived 10 10 8 Denote by π the probability of death following surgery. Let x 1 = 1 for treatment and x 1 = 0 for control; x 2 = 1 for medium risk and x 2 = 0 otherwise; x 3 = 1 for high risk and x 3 = 0 otherwise. (a) Express each of the following hypotheses as a logistic regression model for π in terms of the appropriate linear predictor and determine the degrees of freedom for the deviance statistic. Do not impose any additional constraints besides those explicitly stated in words and define any additional covariates you require. i. H 1 : There is no association between treatment and outcome in any category of risk.
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