Reading for January 8

(Correlation, regression, and repeated data): The authors state that, when we have repeated measurements, we can compare the subject means to determine if subjects with high values of X tend to also have a high value of Y. However, are we not also concerned about the variability of the observations from each subject? How does one incorporate this into the analysis?

(Regression towards the mean): How is "regression towards the mean" interpreted for multiple regression? We no longer have the nice interpretation of the slope as in simple regression because we would have a vector of independent variables at each response value.

(Analysing controlled trials ...): Why does "regression towards the mean" negatively impact follow up score analysis and change score analysis when baseline scores are worse in the treatment group?