Adjusted Survival Curves Strata Specification with Continuous Predictor I have a continuous predictor in a multivariate Cox regression. I have chosen to present the hazard ratio per standard deviation difference (and subsequently done the same for all continuous covariates to ease comparisons).
I prefer to create a figure to illustrate these results as well. I have chosen to present adjusted survival curves from the Cox model. I do not know how I should specify the strata in this case. My first inclination is to do a median-split of the predictor of interest (which is continuous) and then show the curves for "High" and "Low" groups -- is such an approach acceptable; any improvements? A previous answer suggested to use the "covariate at means method" and plot predicted survival curves for 20th and 80th percentile.
 A: If I've understood you correctly, you have standardized your continuous covariates (subtract the mean, divide by standard deviation) so that your hazard ratios are interpreted as the change in the log hazard per standard deviation change in the predictor.
Plotting adjusted survival curves sounds like a good idea to me.  You could do something like $-2\sigma$, $-1\sigma$, $0\sigma$, $1\sigma$, and $2\sigma$ for your covariate of choice.  This would give you 5 survival curves (though if you show confidence intervals, it could get a bit busy).
Personally, I would avoid arbitrary splits. "High/Low" is a bit nebulous just looking at the viz, so I would have to go hunting for wherever you defined what those groups mean.  The $\sigma$ approach would be clear to anyone familiar with statistical modelling.
A: You could use the contsurvplot package to create some plots that were designed specifically for the purpose that you are talking about, as described in an answer to this post: Converting survival analysis by a continuous variable to categorical so as to find level of most significant difference
