IDEAS home Printed from https://ideas.repec.org/a/bla/scjsta/v41y2014i3p742-761.html
   My bibliography  Save this article

Weighted Logrank Permutation Tests for Randomly Right Censored Life Science Data

Author

Listed:
  • Michael Brendel
  • Arnold Janssen
  • Claus-Dieter Mayer
  • Markus Pauly

Abstract

type="main" xml:id="sjos12059-abs-0001"> In biomedical research, weighted logrank tests are frequently applied to compare two samples of randomly right censored survival times. We address the question how to combine a number of weighted logrank statistics to achieve good power of the corresponding survival test for a whole linear space or cone of alternatives, which are given by hazard rates. This leads to a new class of semiparametric projection tests that are motivated by likelihood ratio tests for an asymptotic model. We show that these tests can be carried out as permutation tests and discuss their asymptotic properties. A simulation study together with the analysis of a classical data set illustrates the advantages.

Suggested Citation

  • Michael Brendel & Arnold Janssen & Claus-Dieter Mayer & Markus Pauly, 2014. "Weighted Logrank Permutation Tests for Randomly Right Censored Life Science Data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 41(3), pages 742-761, September.
    • Handle: RePEc:bla:scjsta:v:41:y:2014:i:3:p:742-761
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1111/sjos.12059
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. R.D. Gill, 1980. "Censoring and Stochastic Integrals," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 34(2), pages 124-124, June.
    2. Arnold Janssen & Claus‐Dieter Mayer, 2001. "Conditional Studentized Survival Tests for Randomly Censored Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 28(2), pages 283-293, June.
    3. Janssen, Arnold, 1994. "On local odds and hazard rate models in survival analysis," Statistics & Probability Letters, Elsevier, vol. 20(5), pages 355-365, August.
    4. Bajorski, Piotr, 1992. "Exact Bahadur efficiency of max-type rank tests in the two-sample problem," Statistics & Probability Letters, Elsevier, vol. 13(5), pages 357-363, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ditzhaus, Marc & Pauly, Markus, 2019. "Wild bootstrap logrank tests with broader power functions for testing superiority," Computational Statistics & Data Analysis, Elsevier, vol. 136(C), pages 1-11.
    2. Judith H. Parkinson, 2020. "Combined multiple testing of multivariate survival times by censored empirical likelihood," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 47(3), pages 757-786, September.
    3. Tamara Fernández & Nicolás Rivera, 2021. "A reproducing kernel Hilbert space log‐rank test for the two‐sample problem," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 48(4), pages 1384-1432, December.
    4. Grzegorz Wyłupek, 2021. "A permutation test for the two-sample right-censored model," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 73(5), pages 1037-1061, October.
    5. Marc Ditzhaus & Jon Genuneit & Arnold Janssen & Markus Pauly, 2023. "CASANOVA: Permutation inference in factorial survival designs," Biometrics, The International Biometric Society, vol. 79(1), pages 203-215, March.
    6. Dennis Dobler & Markus Pauly, 2018. "Bootstrap- and permutation-based inference for the Mann–Whitney effect for right-censored and tied data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(3), pages 639-658, September.
    7. Iulii Vasilev & Mikhail Petrovskiy & Igor Mashechkin, 2023. "Sensitivity of Survival Analysis Metrics," Mathematics, MDPI, vol. 11(20), pages 1-34, October.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Marc Ditzhaus & Arnold Janssen, 2020. "Bootstrap and permutation rank tests for proportional hazards under right censoring," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 26(3), pages 493-517, July.
    2. Heck-Boldebuck D. & Liese F. & Neuhaus G., 2002. "Optimal Nonparametric Tests For Truncated Data," Statistics & Risk Modeling, De Gruyter, vol. 20(1-4), pages 111-136, April.
    3. Marc Ditzhaus & Jon Genuneit & Arnold Janssen & Markus Pauly, 2023. "CASANOVA: Permutation inference in factorial survival designs," Biometrics, The International Biometric Society, vol. 79(1), pages 203-215, March.
    4. Arnold Janssen & Andreas Knoch, 2016. "Information bounds for nonparametric estimators of L-functionals and survival functionals under censored data," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 79(2), pages 195-220, February.
    5. Ditzhaus, Marc & Pauly, Markus, 2019. "Wild bootstrap logrank tests with broader power functions for testing superiority," Computational Statistics & Data Analysis, Elsevier, vol. 136(C), pages 1-11.
    6. Erica Brittain & Dean Follmann & Song Yang, 2008. "Dynamic Comparison of Kaplan–Meier Proportions: Monitoring a Randomized Clinical Trial with a Long-Term Binary Endpoint," Biometrics, The International Biometric Society, vol. 64(1), pages 189-197, March.
    7. Xiaofeng Lv & Gupeng Zhang & Guangyu Ren, 2017. "Gini index estimation for lifetime data," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 23(2), pages 275-304, April.
    8. Phadia, Eswar G. & Shao, Peter Yi-Shi, 1999. "Exact moments of the product limit estimator," Statistics & Probability Letters, Elsevier, vol. 41(3), pages 277-286, February.
    9. Yi Wu & Wei Yu & Xuejun Wang, 2022. "Strong representations of the Kaplan–Meier estimator and hazard estimator with censored widely orthant dependent data," Computational Statistics, Springer, vol. 37(1), pages 383-402, March.
    10. Han-Ying Liang & Jacobo Uña-Álvarez, 2011. "Asymptotic properties of conditional quantile estimator for censored dependent observations," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 63(2), pages 267-289, April.
    11. Ganesh B. Malla, 2022. "A Monte Carlo Simulation Comparison of Some Nonparametric Survival Functions for Incomplete Data," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 14(5), pages 1-1, November.
    12. Imbens, G.W., 1989. "Duration models with time-varying coefficients," Other publications TiSEM 8432944f-1cfc-4403-bcbe-4, Tilburg University, School of Economics and Management.
    13. Lee, Seung-Hwan & Lee, Eun-Joo & Omolo, Bernard Oguna, 2008. "Using integrated weighted survival difference for the two-sample censored data problem," Computational Statistics & Data Analysis, Elsevier, vol. 52(9), pages 4410-4416, May.
    14. Gang Li & Somnath Datta, 2001. "A Bootstrap Approach to Nonparametric Regression for Right Censored Data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(4), pages 708-729, December.
    15. Li, Gang & Sun, Yanqing, 2000. "A simulation-based goodness-of-fit test for survival data," Statistics & Probability Letters, Elsevier, vol. 47(4), pages 403-410, May.
    16. Morten Overgaard & Stefan Nygaard Hansen, 2021. "On the assumption of independent right censoring," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 48(4), pages 1234-1255, December.
    17. Hongwei Zhao & Anastasios A. Tsiatis, 2001. "Testing Equality of Survival Functions of Quality-Adjusted Lifetime," Biometrics, The International Biometric Society, vol. 57(3), pages 861-867, September.
    18. Kevin Hasegawa Eng & Michael R. Kosorok, 2005. "A Sample Size Formula for the Supremum Log-Rank Statistic," Biometrics, The International Biometric Society, vol. 61(1), pages 86-91, March.
    19. Sun, Liuquan & Zhou, Yong, 1998. "Sequential confidence bands for densities under truncated and censored data," Statistics & Probability Letters, Elsevier, vol. 40(1), pages 31-41, September.
    20. Yang, Song, 1996. "Weighted empiricals and the product-limit estimator in the multiplicative hazard and time transfer regression model," Statistics & Probability Letters, Elsevier, vol. 30(1), pages 17-24, September.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:scjsta:v:41:y:2014:i:3:p:742-761. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0303-6898 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.