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Linear mixed models to handle missing at random data in trial‐based economic evaluations

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  • Andrea Gabrio
  • Catrin Plumpton
  • Sube Banerjee
  • Baptiste Leurent

Abstract

Trial‐based cost‐effectiveness analyses (CEAs) are an important source of evidence in the assessment of health interventions. In these studies, cost and effectiveness outcomes are commonly measured at multiple time points, but some observations may be missing. Restricting the analysis to the participants with complete data can lead to biased and inefficient estimates. Methods, such as multiple imputation, have been recommended as they make better use of the data available and are valid under less restrictive Missing At Random (MAR) assumption. Linear mixed effects models (LMMs) offer a simple alternative to handle missing data under MAR without requiring imputations, and have not been very well explored in the CEA context. In this manuscript, we aim to familiarize readers with LMMs and demonstrate their implementation in CEA. We illustrate the approach on a randomized trial of antidepressants, and provide the implementation code in R and Stata. We hope that the more familiar statistical framework associated with LMMs, compared to other missing data approaches, will encourage their implementation and move practitioners away from inadequate methods.

Suggested Citation

  • Andrea Gabrio & Catrin Plumpton & Sube Banerjee & Baptiste Leurent, 2022. "Linear mixed models to handle missing at random data in trial‐based economic evaluations," Health Economics, John Wiley & Sons, Ltd., vol. 31(6), pages 1276-1287, June.
  • Handle: RePEc:wly:hlthec:v:31:y:2022:i:6:p:1276-1287
    DOI: 10.1002/hec.4510
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    References listed on IDEAS

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    1. Rita Faria & Manuel Gomes & David Epstein & Ian White, 2014. "A Guide to Handling Missing Data in Cost-Effectiveness Analysis Conducted Within Randomised Controlled Trials," PharmacoEconomics, Springer, vol. 32(12), pages 1157-1170, December.
    2. Nigel Rice & Andrew Jones, 1997. "Multilevel models and health economics," Health Economics, John Wiley & Sons, Ltd., vol. 6(6), pages 561-575, November.
    3. Andrea Gabrio & Michael J. Daniels & Gianluca Baio, 2020. "A Bayesian parametric approach to handle missing longitudinal outcome data in trial‐based health economic evaluations," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 183(2), pages 607-629, February.
    4. Andrea Gabrio & Alexina J. Mason & Gianluca Baio, 2017. "Erratum to: Handling Missing Data in Within-Trial Cost-Effectiveness Analysis: A Review with Future Recommendations," PharmacoEconomics - Open, Springer, vol. 1(2), pages 143-143, June.
    5. Baptiste Leurent & Manuel Gomes & Suzie Cro & Nicola Wiles & James R. Carpenter, 2020. "Reference‐based multiple imputation for missing data sensitivity analyses in trial‐based cost‐effectiveness analysis," Health Economics, John Wiley & Sons, Ltd., vol. 29(2), pages 171-184, February.
    6. Andrea Gabrio & Alexina J. Mason & Gianluca Baio, 2017. "Handling Missing Data in Within-Trial Cost-Effectiveness Analysis: A Review with Future Recommendations," PharmacoEconomics - Open, Springer, vol. 1(2), pages 79-97, June.
    7. Manuel Gomes & Richard Grieve & Richard Nixon & W. J. Edmunds, 2012. "Statistical Methods for Cost-Effectiveness Analyses That Use Data from Cluster Randomized Trials," Medical Decision Making, , vol. 32(1), pages 209-220, January.
    8. William C. Black, 1990. "The CE Plane," Medical Decision Making, , vol. 10(3), pages 212-214, August.
    9. Alexina J. Mason & Manuel Gomes & Richard Grieve & James R. Carpenter, 2018. "A Bayesian framework for health economic evaluation in studies with missing data," Health Economics, John Wiley & Sons, Ltd., vol. 27(11), pages 1670-1683, November.
    10. Richard M. Nixon & Simon G. Thompson, 2005. "Methods for incorporating covariate adjustment, subgroup analysis and between‐centre differences into cost‐effectiveness evaluations," Health Economics, John Wiley & Sons, Ltd., vol. 14(12), pages 1217-1229, December.
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