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. 2003 Aug 12;89(4):605–611. doi: 10.1038/sj.bjc.6601120

Table 3. Suggested plots for residual-based diagnostics.

Y-axis X-axis Potential implication Suggested remedy
Martingale residual Any omitted covariate Covariate excluded wrongly Refit model with covariate included
Martingale residual Any included covariate Covariate modelled incorrectly (e.g. nonlinear effect) Fit nonlinear term (e.g. a squared term)
Martingale residual Date of enrolment in study Evidence of temporal effect Incorporate time of entry as a covariate
Deviance residual Survival time, log(survival time) or ranks of survival time Model fails to predict consistently for all survival times Fit time-dependent PH model or consider using a different (i.e. non-PH) model
Deviance residual Subject identifier Individual is an outlier (1) Check if the data are correct
      (2) Refit model with individual removed. If effect sizes alter substantially, consider removing individual altogether
Scaled Schoenfeld residual Survival time, log(survival time) or ranks of survival time Non-PH Fit time-dependent PH model or consider using a different (i.e. non-PH) model

PH=proportional hazards. All of the above XY plots should give rise to a plot evenly scattered along a horizontal line that displays no trend. The possible implications where this does not occur and suggested remedies are presented.