IDEAS home Printed from https://ideas.repec.org/a/bla/scjsta/v49y2022i1p265-286.html
   My bibliography  Save this article

On estimation in the nested case‐control design under nonproportional hazards

Author

Listed:
  • Michelle M. Nuño
  • Daniel L. Gillen

Abstract

Analysis of time‐to‐event data using Cox's proportional hazards (PH) model is ubiquitous in scientific research. A sample is taken from the population of interest and covariate information is collected on everyone. If the event of interest is rare and covariate information is difficult to collect, the nested case‐control (NCC) design reduces costs with minimal impact on inferential precision. Under PH, application of the Cox model to data from a NCC sample provides consistent estimation of the hazard ratio. However, under non‐PH, the finite‐sample estimates corresponding to the Cox estimator depend on the number of controls sampled and the censoring distribution. We propose two estimators based on a binary predictor of interest: one recovers the estimand corresponding to the Cox model under a simple random sample, while the other recovers an estimand that does not depend on the censoring distribution. We derive the asymptotic distribution and provide finite‐sample variance estimators.

Suggested Citation

  • Michelle M. Nuño & Daniel L. Gillen, 2022. "On estimation in the nested case‐control design under nonproportional hazards," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 49(1), pages 265-286, March.
    • Handle: RePEc:bla:scjsta:v:49:y:2022:i:1:p:265-286
    DOI: 10.1111/sjos.12510
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/sjos.12510
    Download Restriction: no
    File URL: https://libkey.io/10.1111/sjos.12510?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. John P A Ioannidis, 2005. "Why Most Published Research Findings Are False," PLOS Medicine, Public Library of Science, vol. 2(8), pages 1-1, August.
    2. Vinh Q. Nguyen & Daniel L. Gillen, 2017. "Censoring-robust estimation in observational survival studies: Assessing the relative effectiveness of vascular access type on patency among end-stage renal disease patients," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 9(2), pages 406-430, December.
    Full references (including those not matched with items on IDEAS)

    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. Alexander Frankel & Maximilian Kasy, 2022. "Which Findings Should Be Published?," American Economic Journal: Microeconomics, American Economic Association, vol. 14(1), pages 1-38, February.
    2. Jyotirmoy Sarkar, 2018. "Will P†Value Triumph over Abuses and Attacks?," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 7(4), pages 66-71, July.
    3. Stanley, T. D. & Doucouliagos, Chris, 2019. "Practical Significance, Meta-Analysis and the Credibility of Economics," IZA Discussion Papers 12458, Institute of Labor Economics (IZA).
    4. Karin Langenkamp & Bodo Rödel & Kerstin Taufenbach & Meike Weiland, 2018. "Open Access in Vocational Education and Training Research," Publications, MDPI, vol. 6(3), pages 1-12, July.
    5. Kevin J. Boyle & Mark Morrison & Darla Hatton MacDonald & Roderick Duncan & John Rose, 2016. "Investigating Internet and Mail Implementation of Stated-Preference Surveys While Controlling for Differences in Sample Frames," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 64(3), pages 401-419, July.
    6. Jelte M Wicherts & Marjan Bakker & Dylan Molenaar, 2011. "Willingness to Share Research Data Is Related to the Strength of the Evidence and the Quality of Reporting of Statistical Results," PLOS ONE, Public Library of Science, vol. 6(11), pages 1-7, November.
    7. Valentine, Kathrene D & Buchanan, Erin Michelle & Scofield, John E. & Beauchamp, Marshall T., 2017. "Beyond p-values: Utilizing Multiple Estimates to Evaluate Evidence," OSF Preprints 9hp7y, Center for Open Science.
    8. Anton, Roman, 2014. "Sustainable Intrapreneurship - The GSI Concept and Strategy - Unfolding Competitive Advantage via Fair Entrepreneurship," MPRA Paper 69713, University Library of Munich, Germany, revised 01 Feb 2015.
    9. Dudek, Thomas & Brenøe, Anne Ardila & Feld, Jan & Rohrer, Julia, 2022. "No Evidence That Siblings' Gender Affects Personality across Nine Countries," IZA Discussion Papers 15137, Institute of Labor Economics (IZA).
    10. Uwe Hassler & Marc‐Oliver Pohle, 2022. "Unlucky Number 13? Manipulating Evidence Subject to Snooping," International Statistical Review, International Statistical Institute, vol. 90(2), pages 397-410, August.
    11. Frederique Bordignon, 2020. "Self-correction of science: a comparative study of negative citations and post-publication peer review," Scientometrics, Springer;Akadémiai Kiadó, vol. 124(2), pages 1225-1239, August.
    12. Omar Al-Ubaydli & John A. List, 2015. "Do Natural Field Experiments Afford Researchers More or Less Control than Laboratory Experiments? A Simple Model," NBER Working Papers 20877, National Bureau of Economic Research, Inc.
    13. Aurelie Seguin & Wolfgang Forstmeier, 2012. "No Band Color Effects on Male Courtship Rate or Body Mass in the Zebra Finch: Four Experiments and a Meta-Analysis," PLOS ONE, Public Library of Science, vol. 7(6), pages 1-11, June.
    14. Ankur Moitra & Dhruv Rohatgi, 2022. "Provably Auditing Ordinary Least Squares in Low Dimensions," Papers 2205.14284, arXiv.org, revised Jun 2022.
    15. Dragana Radicic & Geoffrey Pugh & Hugo Hollanders & René Wintjes & Jon Fairburn, 2016. "The impact of innovation support programs on small and medium enterprises innovation in traditional manufacturing industries: An evaluation for seven European Union regions," Environment and Planning C, , vol. 34(8), pages 1425-1452, December.
    16. Colin F. Camerer & Anna Dreber & Felix Holzmeister & Teck-Hua Ho & Jürgen Huber & Magnus Johannesson & Michael Kirchler & Gideon Nave & Brian A. Nosek & Thomas Pfeiffer & Adam Altmejd & Nick Buttrick , 2018. "Evaluating the replicability of social science experiments in Nature and Science between 2010 and 2015," Nature Human Behaviour, Nature, vol. 2(9), pages 637-644, September.
    17. Li, Lunzheng & Maniadis, Zacharias & Sedikides, Constantine, 2021. "Anchoring in Economics: A Meta-Analysis of Studies on Willingness-To-Pay and Willingness-To-Accept," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 90(C).
    18. Charles F. Manski, 2018. "Reasonable patient care under uncertainty," Health Economics, John Wiley & Sons, Ltd., vol. 27(10), pages 1397-1421, October.
    19. Eric van Diessen & Willemiek J E M Zweiphenning & Floor E Jansen & Cornelis J Stam & Kees P J Braun & Willem M Otte, 2014. "Brain Network Organization in Focal Epilepsy: A Systematic Review and Meta-Analysis," PLOS ONE, Public Library of Science, vol. 9(12), pages 1-21, December.
    20. Kathryn Oliver & Annette Boaz, 2019. "Transforming evidence for policy and practice: creating space for new conversations," Palgrave Communications, Palgrave Macmillan, vol. 5(1), pages 1-10, December.

    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:49:y:2022:i:1:p:265-286. 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.