Using the data from the ICU study create a dichotomous variable NONWHITE (NONWHITE = 1 if RACE = 2 or 3 and NONWHITE = 0 if RACE = 1). Fit the logistic regression of STA on NONWHITE and show that the...

Using the data from the ICU study create a dichotomous variable NONWHITE (NONWHITE = 1 if RACE = 2 or 3 and NONWHITE = 0 if RACE = 1). Fit the logistic regression of STA on NONWHITE and show that the 95 percent profile likelihood confidence interval for the coefficient for non-white has asymmetry of −13% and that this interval is 26% wider than the Wald-based interval. This example points out that even when the sample size and number of events are large n = 200, and n₁
= 40 there can be substantial asymmetry and differences between the two interval estimators. Explain why this is the case in this example.