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Survival Modelling for Data From Combined Cohorts: Opening the Door to Meta Survival Analyses and Survival Analysis Using Electronic Health Records

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  • James H. McVittie
  • Ana F. Best
  • David B. Wolfson
  • David A. Stephens
  • Julian Wolfson
  • David L. Buckeridge
  • Shahinaz M. Gadalla

Abstract

Non‐parametric estimation of the survival function using observed failure time data depends on the underlying data generating mechanism, including the ways in which the data may be censored and/or truncated. For data arising from a single source or collected from a single cohort, a wide range of estimators have been proposed and compared in the literature. Often, however, it may be possible, and indeed advantageous, to combine and then analyse survival data that have been collected under different study designs. We review non‐parametric survival analysis for data obtained by combining the most common types of cohort. We have two main goals: (i) to clarify the differences in the model assumptions and (ii) to provide a single lens through which some of the proposed estimators may be viewed. Our discussion is relevant to the meta‐analysis of survival data obtained from different types of study, and to the modern era of electronic health records.

Suggested Citation

  • James H. McVittie & Ana F. Best & David B. Wolfson & David A. Stephens & Julian Wolfson & David L. Buckeridge & Shahinaz M. Gadalla, 2023. "Survival Modelling for Data From Combined Cohorts: Opening the Door to Meta Survival Analyses and Survival Analysis Using Electronic Health Records," International Statistical Review, International Statistical Institute, vol. 91(1), pages 72-87, April.
  • Handle: RePEc:bla:istatr:v:91:y:2023:i:1:p:72-87
    DOI: 10.1111/insr.12510
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    References listed on IDEAS

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    1. Jing Ning & Jing Qin & Yu Shen, 2014. "Score Estimating Equations from Embedded Likelihood Functions Under Accelerated Failure Time Model," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 109(508), pages 1625-1635, December.
    2. Welch, Shawn M., 1998. "Nonparametric estimates of the duration of welfare spells," Economics Letters, Elsevier, vol. 60(2), pages 217-221, August.
    3. Chiung-yu Huang & Jing Qin, 2012. "Composite Partial Likelihood Estimation Under Length-Biased Sampling, With Application to a Prevalent Cohort Study of Dementia," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 107(499), pages 946-957, September.
    4. Yu Shen & Jing Ning & Jing Qin, 2017. "Nonparametric and semiparametric regression estimation for length-biased survival data," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 23(1), pages 3-24, January.
    5. Shen, Yu & Ning, Jing & Qin, Jing, 2009. "Analyzing Length-Biased Data With Semiparametric Transformation and Accelerated Failure Time Models," Journal of the American Statistical Association, American Statistical Association, vol. 104(487), pages 1192-1202.
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