An investigator modeled the log-odds of getting stomach cancer as a function of number of servings of vegetables per week and the number of servings of red mean per week using logistic regression. The odds that a person gets stomach cancer if they have 4 servings of red meat a week are 1.2 times the odds of cancer for someone who has 3 servings of red meat a week. suppose in the example, where the regression coefficient for servings of vegetables is -0.105, we have also obtained from the SAS output a Standard Error from the output of 0.097. Since our estimates are maximum likelihood estimates, we can assume that they follow a normal distribution. As such we can create confidence intervals for the regression coefficients using standard practices for estimates that have normal sampling distributions. Calculate a 95% confidence interval for the ODDS RATIO given above (odds ratio representing the change in odds of stomach cancer for a one-serving increase in vegetables. Give the lower endpoint below to three numbers beyond the decimal place.
An investigator modeled the log-odds of getting stomach cancer as a
suppose in the example, where the regression coefficient for servings of vegetables is -0.105, we have also obtained from the SAS output a Standard Error from the output of 0.097. Since our estimates are maximum likelihood estimates, we can assume that they follow a normal distribution. As such we can create confidence intervals for the regression coefficients using standard practices for estimates that have normal sampling distributions. Calculate a 95% confidence interval for the ODDS RATIO given above (odds ratio representing the change in odds of stomach cancer for a one-serving increase in vegetables. Give the lower endpoint below to three numbers beyond the decimal place.
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