# 483 0930 6626 hazard rate in the positive stain group

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Unformatted text preview: ive-stain group was estimated to be 2.5 times greater than in the negative-stain group, although this did not reach signiﬁcance (p = .0695). 14 Graphs to check whether hazards are really proportional Proportional hazards assumption: ratio of hazards is constant and does not depend on time: h A (t ) = r. h B (t ) When this assumption fails, it is because the hazard ratio changes over time. Proc Lifetest makes 3 graphs that provide visual checks of this assumption: Proc Lifetest plots=(SURVIVAL (atrisk = start to stop by step) LOGSURV SURVIVAL plots estimated survivor functions. If they cross, then hazard changes over time. 15 Stomach Cancer Breast Cancer 16 LOGLOGS ); LOGSURV plots the cumulative hazard function(s) H (t ) = − log S (t ) If hazards are proportional, then larger cumulative hazard should be a multiple of smaller: Hi = r H j . Breast cancer example: 17 Stomach cancer example, where survivor curves crossed: 18 ￿ ￿ ￿ ￿ LOGLOGS gives a plot of log cumulative hazard log H (t ) = log − log S (t ) If hazards are proportional, then LOGLOGS plot will show parallel curves: log Hi = c + log H j . Breast cancer example: 19 LOGLOGS for...
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## This note was uploaded on 11/21/2011 for the course PUBH 6470 taught by Professor Williamthomas during the Fall '11 term at University of Florida.

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