© The Canadian Journal of Urology™; 20(3); June 2013
Accepted for publication March 2013
Acknowledgment
The international coordination of the European Randomized
Study of Screening for Prostate Cancer (ERSPC) has been
supported since the study’s initiation in 1991 by grants from
Europe Against Cancer and the 5th and 6th framework
program of the European Union, by many grants from
agencies in the individual participating countries, and by
unconditional grants from Beckman-Coulter-Hybritech Inc.
Data referred to in this report are derived explicitly from the
ERSPC Section Rotterdam, which is supported by grants from
the Dutch Cancer Society, The Netherlands Organisation
for Health Research and Development, the Abe Bonnema
Overestimation of prostate cancer mortality
and other-cause mortality by the Kaplan-Meier
method
Xiaoye Zhu, MD, Ries Kranse, PhD, Meelan Bul, MD, Chris H. Bangma, MD,
Fritz. H. Schröder, MD, Monique J. Roobol, PhD
Department of Urology, Erasmus University Medical Center, Rotterdam, The Netherlands
ZHU X, KRANSE R, BUL M, BANGMA CH,
SCHRÖDER FH, ROOBOL MJ. Overestimation of
prostate cancer mortality and other-cause mortality
by the Kaplan-Meier method. Can J Urol 2013;20(3):
6756-6760.
Introduction: To assess the extent of overestimation of
the cumulative probability of death by the Kaplan-Meier
method with the competing-risks regression analysis as
reference approach.
Materials and methods: Data were derived from the
screening arm of the Rotterdam branch of the European
Randomized Study of Screening for Prostate Cancer
(ERSPC). The screening arm consisted of 21210 men between
the ages of 55 and 74 at study entry. Follow up concerning
mortality was complete through 2008. Endpoints were 5 and
10 year cumulative probabilities of prostate cancer death and
death from other causes. Relative bias was deined as the
ratio of the cumulative probability of death as determined
by the Kaplan-Meier method, relative to the cumulative
probability obtained by the competing-risks analysis.
Results: According to the Kaplan-Meier method, the
5 year cumulative probability of death from prostate
cancer was 0.0101, compared with 0.0099 according to
the competing-risk analysis [1.8% overestimation]. At
10 year, these numbers were 0.0347 and 0.0321,
respectively [8.0% overestimation]. For death from
other causes, the cumulative probabilities at 5 year were
0.0399 and 0.0397 according to the Kaplan-Meier and
the competing-risks method [0.6% overestimation],
respectively. At 10 year, the probabilities were 0.141 and
0.139 [1.7% overestimation], respectively.
Conclusions: When competing events are present, the
competing-risks regression analysis is to be preferred
over the Kaplan-Meier method in the estimation of the
cumulative probability of the event of interest.
Key Words: competing-risks regression analysis,
Kaplan-Meier estimate, other-cause mortality,
prostate cancer mortality, prostate cancer screening,
European Randomized Study of Screening for
Prostate Cancer
6756
Foundation and by many private donations.
The authors also thank JBW Rietbergen, A Boeken-Kruger, GJ
de Zwart, IW van der Cruijsen-Koeter, MO Boerma, A Prins, R
Raaijmakers, and SH de Vries for performing the DRE/TRUS
and prostate biopsies during the initial and repeat screening
of ERSPC Rotterdam. CGAM Franken-Raab, DW Roobol,
and M van Slooten-Midderigh are acknowledged for data
collection and data entry.
Address correspondence to Dr. Xiaoye Zhu, Department
of Urology, Erasmus MC, University Medical Center
Rotterdam, Room NH-227, PO Box 2040, 3000 CA Rotterdam,
The Netherlands