diff --git a/_subfiles/Linear-models-overview/_exr-linreg-rescaling.qmd b/_subfiles/Linear-models-overview/_exr-linreg-rescaling.qmd index 0f367eccb..08ddb07b3 100644 --- a/_subfiles/Linear-models-overview/_exr-linreg-rescaling.qmd +++ b/_subfiles/Linear-models-overview/_exr-linreg-rescaling.qmd @@ -127,7 +127,7 @@ Slope coefficients ($\g_{A^*}$ and $\g_{A^*M}$) are unchanged by rescaling: they have the same values and interpretations as the corresponding $\b$s. Coefficients change only for variables that have interactions with the rescaled variable $A$. -This includes the intercept +These affected parameters include the intercept (which can be viewed as the main effect of a variable that interacts with $A$ via $\b_A$), and the main effect of $M$ (which interacts with $A$ via $\b_{AM}$). diff --git a/_subfiles/Linear-models-overview/_sec_hers_lm_diagnostics_lm2.qmd b/_subfiles/Linear-models-overview/_sec_hers_lm_diagnostics_lm2.qmd index 2c0110e5e..4e395c2a4 100644 --- a/_subfiles/Linear-models-overview/_sec_hers_lm_diagnostics_lm2.qmd +++ b/_subfiles/Linear-models-overview/_sec_hers_lm_diagnostics_lm2.qmd @@ -50,7 +50,7 @@ The residual and QQ plots for the interaction model (@fig-hers-resid-fitted-lm2, @fig-hers-qq-lm2) look essentially identical to those for the parallel-planes model: adding the age-BMI interaction barely changes the residual structure. -This previews the model-selection result --- +This similarity previews the model-selection result --- the likelihood ratio test (@tbl-hers-lrt) shows the interaction does not improve the fit enough to justify the extra parameter. ::: diff --git a/_subfiles/Linear-models-overview/_sec_linreg_model_selection.qmd b/_subfiles/Linear-models-overview/_sec_linreg_model_selection.qmd index 0480c0de2..3bbc45dae 100644 --- a/_subfiles/Linear-models-overview/_sec_linreg_model_selection.qmd +++ b/_subfiles/Linear-models-overview/_sec_linreg_model_selection.qmd @@ -28,7 +28,7 @@ rather than only with numerical fit. In this workflow, the DAG encodes hypothesized time ordering and causal pathways. -That helps us decide +That structure helps us decide which variables belong in the candidate model set before we run stepwise, subset, diff --git a/_subfiles/proportional-hazards-models/_sec-competing-risks.qmd b/_subfiles/proportional-hazards-models/_sec-competing-risks.qmd index af7b28047..80bea2965 100644 --- a/_subfiles/proportional-hazards-models/_sec-competing-risks.qmd +++ b/_subfiles/proportional-hazards-models/_sec-competing-risks.qmd @@ -254,7 +254,7 @@ event probability because many men are still event-free at 5 years. A naive approach treats competing events as censored and uses the standard Kaplan-Meier method: $1 - \hskmf{t}$. -This overestimates the true cumulative incidence +This naive Kaplan-Meier approach overestimates the true cumulative incidence because it assumes censored individuals (including those who died) have the same risk as those still event-free.