11.07.2015 Views

Preface to First Edition - lib

Preface to First Edition - lib

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210 SURVIVAL ANALYSISR> layout(matrix(1:3, ncol = 3))R> res plot(res ~ age, data = GBSG2, ylim = c(-2.5, 1.5),+ pch = ".", ylab = "Martingale Residuals")R> abline(h = 0, lty = 3)R> plot(res ~ pnodes, data = GBSG2, ylim = c(-2.5, 1.5),+ pch = ".", ylab = "")R> abline(h = 0, lty = 3)R> plot(res ~ log(progrec), data = GBSG2, ylim = c(-2.5, 1.5),+ pch = ".", ylab = "")R> abline(h = 0, lty = 3)Martingale Residuals−2 −1 0 1−2 −1 0 1−2 −1 0 120 40 60 80age0 10 20 30 40 50pnodes0 2 4 6 8log(progrec)Figure 11.6Martingale residuals for the GBSG2 data.plots plotting covariates against the martingale residuals. For the GBSG2 data,Figure 11.6 does not indicate severe and systematic deviations from zero.The tree-structured regression models applied <strong>to</strong> continuous and binaryresponses in Chapter 9 are applicable <strong>to</strong> censored responses in survival analysisas well. Such a simple prognostic model with only a few terminal nodes mightbe helpful for relating the risk <strong>to</strong> certain subgroups of patients. Both rpartand the ctree function from package party can be applied <strong>to</strong> the GBSG2data, where the conditional trees of the latter select cutpoints based on logrankstatisticsR> GBSG2_ctree

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