Suppose we contrast individuals who are to those who are What Age = x Age = x + c. can we say about the increased risk associated with a year increase in age? The logistic c model gives us a means to do this through the odds ratio (OR). Exponentiating both sides gives Thus the multiplicative increase (or decrease if) in odds associated with a year increase c in age is. Example: Interpreting a year increase in age. c Question: Is it reasonable to assume that a unit increase in a continuous predictor is c constant regardless of starting point? For example, does the risk associated with a 5 year increase in age remain constant throughout ones life? Statistical Inference for the Logistic Regression Model Given estimates for the model parameters and their estimated standard errors what types of statistical inferences can be made? Hypothesis Testing
Suppose we contrast individuals who are Age = x to those who are Age = x + c. What can we say about the increased risk associated with a c year increase in age? The logistic model gives us a means to do this through the odds ratio (OR). Exponentiating both sides gives Thus the multiplicative increase (or decrease if) in odds associated with a c year increase in age is. Example: Interpreting a c year increase in age. Question: Is it reasonable to assume that a c unit increase in a continuous predictor is constant regardless of starting point? For example, does the risk associated with a 5 year increase in age remain constant throughout ones life? Statistical Inference for the Logistic Regression Model Given estimates for the model parameters and their estimated standard errors what types of statistical inferences can be made? Hypothesis Testing