Two-sample problem under random truncation
A. Lago Balseiro, J. de Uña Álvarez, J. C. Pardo-Fernández
In this talk we introduce a Kolmogorov-Smirnov statistic for the two-sample problem under random left truncation. A simulation study is carried out to analyse its distribution under the null hypothesis. The results show the test is not distribution-free, in contrast to the Kolmogorov-Smirnov test for complete data. This leads to propose a bootstrap resampling plan, which allows to approximate the distribution of the proposed statistic test under the null hypothesis. We compare the proposed Kolmogorov-Smirnov test to the log-rank test under different situations: proportional hazards, where the log-rank test is optimal, and nonproportional hazards. Scenarios under the alternative hypothesis for which the log-rank test has no power whereas the Kolmogorov-Smirnov test does are also shown. Lastly, a real dataset is analysed.
Keywords: bootstrap, hypothesis testing, left truncation, survival analysis
Scheduled
GT18 Non-parametric statistics I. Non-parametric hypothesis tests
June 9, 2022 10:10 AM
A15
Other papers in the same session
A. Fanjul Hevia, W. González Manteiga, J. C. Pardo-Fernández
M. Conde-Amboage, I. Van Keilegom, W. González-Manteiga
E. García Portugués
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6/8/22
Visit Alhambra
Tomorrow, Thursday, we will visit the Alhambra. 1. At 7:00 p.m., buses will start leaving from the door of the Hotel Granada Center (in front of the door of the Faculty of Sciences) 2. Upon arrival, groups with guides will be organized. 3. There will be groups in English language. These groups will wait at the destination until the arrival of all buses. 4. After the visit to the Alhambra we will walk to the Carmen de los Mártires to have a cocktail. 5. On the way back, we can go back by bus, which will leave from the same place where they left us at the Alhambra. 6. Although the way to the Alhambra by bus seems long, it really is close to the city. We invite you, whoever wishes, to go down for a pleasant walk. 7. Do not forget to take your Alhambra ticket and your identity card or passport. The document must be the same whose number matches the ticket number you have.
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5/31/22
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5/27/22
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5/23/22
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5/16/22
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