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If the impact of an independent variable meets the proportional hazard assumption, the smoothed values of a quantity called scaled Schoenfeld residuals would be roughly horizontal when plotted against survival time. Grambsch and Therneau (1994) demonstrated that a test of non-zero slope in a weighted regression of the residuals upon time can test for non-proportional hazard. Test for PH and graphical examination of scaled Schoenfeld residuals may identify important information. See example 1 (marital status and mortality) for a case. Another method is to split the survival time into two or three periods. A test of interaction between treatment and periods will test the proportional hazard assumption.

Grambsch PM, Therneau TM. Proportional hazards tests and diagnostics based on weighted residuals. Biometrika 1994; 81: 515-526.