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2 changes: 1 addition & 1 deletion _subfiles/Linear-models-overview/_exr-linreg-rescaling.qmd
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Expand Up @@ -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 $\b_{AM}$).
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Expand Up @@ -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.
:::
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Expand Up @@ -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,
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Expand Up @@ -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.
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