Sandwich Variance Estimation in Scale Mixture of Skew-Normal Linear Mixed Models.

Authors

Keyliane Travassos, Larissa A Matos, Fernanda L Schumacher

Published in

Statistics in medicine. Volume 45. Issue 23-24. Pages e70753.

Abstract

Linear mixed models are often used to analyze studies with repeated measurements over time, where the data present a correlation between observations of the same individual. However, one of the main challenges in using these models is correctly defining the covariance structure associated with error and random effects. To overcome this challenge, we obtain the sandwich variance estimator as a robust alternative to estimate the standard error in the scale mixture of skew-normal linear mixed models (SMSN-LMMs). By definition, SMSN-LMMs can accommodate skewness and heavy tails, and by considering our proposed variance estimator, we increase the model's flexibility by allowing for misspecification of the covariance components. We present the definition of the estimator, its derivation for this model, and its practical implementation. In addition, through simulation studies, we evaluate its performance in different scenarios, demonstrating its ability to provide reliable inferences even when the model or the covariance structure is misspecified.

PMID:
42853020
Bibliographic data and abstract were imported from PubMed on 09 Oct 2026.

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