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Stratified Case‐Cohort Analysis of General Cohort Sampling Designs

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  • SVEN OVE SAMUELSEN
  • HALLVARD ÅNESTAD
  • ANDERS SKRONDAL

Abstract

. It is shown that variance estimates for regression coefficients in exposure‐stratified case‐cohort studies (Borgan et al., Lifetime Data Anal., 6, 2000, 39–58) can easily be obtained from influence terms routinely calculated in the standard software for Cox regression. By allowing for post‐stratification on outcome we also place the estimators proposed by Chen (J. R. Statist. Soc. Ser. B, 63, 2001, 791–809) for a general class of cohort sampling designs within the Borgan et al.’s framework, facilitating simple variance estimation for these designs. Finally, the Chen approach is extended to accommodate stratified designs with surrogate variables available for all cohort members, such as stratified case‐cohort and counter‐matching designs.

Suggested Citation

  • Sven Ove Samuelsen & Hallvard Ånestad & Anders Skrondal, 2007. "Stratified Case‐Cohort Analysis of General Cohort Sampling Designs," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 34(1), pages 103-119, March.
    • Handle: RePEc:bla:scjsta:v:34:y:2007:i:1:p:103-119
    DOI: 10.1111/j.1467-9469.2006.00552.x
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    Cited by:

    1. Ying Yan & Haibo Zhou & Jianwen Cai, 2017. "Improving efficiency of parameter estimation in case-cohort studies with multivariate failure time data," Biometrics, The International Biometric Society, vol. 73(3), pages 1042-1052, September.
    2. Sangwook Kang & Jianwen Cai, 2009. "Marginal Hazards Regression for Retrospective Studies within Cohort with Possibly Correlated Failure Time Data," Biometrics, The International Biometric Society, vol. 65(2), pages 405-414, June.
    3. Rebecca Payne & Ming Yang & Yingye Zheng & Majken K. Jensen & Tianxi Cai, 2016. "Robust risk prediction with biomarkers under two‐phase stratified cohort design," Biometrics, The International Biometric Society, vol. 72(4), pages 1037-1045, December.
    4. Soave, David & Lawless, Jerald F., 2023. "Regularized regression for two phase failure time studies," Computational Statistics & Data Analysis, Elsevier, vol. 182(C).
    5. Olli Saarela & James A. Hanley, 2015. "Case-base methods for studying vaccination safety," Biometrics, The International Biometric Society, vol. 71(1), pages 42-52, March.
    6. Karvanen, Juha & Kulathinal, Sangita & Gasbarra, Dario, 2009. "Optimal designs to select individuals for genotyping conditional on observed binary or survival outcomes and non-genetic covariates," Computational Statistics & Data Analysis, Elsevier, vol. 53(5), pages 1782-1793, March.
    7. Hui Zhang & Douglas E. Schaubel & John D. Kalbfleisch, 2011. "Proportional Hazards Regression for the Analysis of Clustered Survival Data from Case–Cohort Studies," Biometrics, The International Biometric Society, vol. 67(1), pages 18-28, March.

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