Volume 24, Issue 14
Research Article

An index of local sensitivity to nonignorable drop‐out in longitudinal modelling

Guoguang Ma

Corresponding Author

E-mail address: guoguang_ma@merck.com

Clinical Biostatistics, Merck & Co. Inc., BL3‐2, Blue Bell, PA 19422, U.S.A.

Clinical Biostatistics, Merck & Co. Inc., BL3‐2, 10 Sentry Parkway, Blue Bell, PA 19422, U.S.A.Search for more papers by this author
Andrea B. Troxel

Department of Biostatistics & Epidemiology, University of Pennsylvania School of Medicine, Philadelphia, PA 19104, U.S.A.

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Daniel F. Heitjan

Department of Biostatistics & Epidemiology, University of Pennsylvania School of Medicine, Philadelphia, PA 19104, U.S.A.

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First published: 20 May 2005
Citations: 45

Abstract

In longitudinal studies with potentially nonignorable drop‐out, one can assess the likely effect of the nonignorability in a sensitivity analysis. Troxel et al. proposed a general index of sensitivity to nonignorability, or ISNI, to measure sensitivity of key inferences in a neighbourhood of the ignorable, missing at random (MAR) model. They derived detailed formulas for ISNI in the special case of the generalized linear model with a potentially missing univariate outcome. In this paper, we extend the method to longitudinal modelling. We use a multivariate normal model for the outcomes and a regression model for the drop‐out process, allowing missingness probabilities to depend on an unobserved response. The computation is straightforward, and merely involves estimating a mixed‐effects model and a selection model for the drop‐out, together with some simple arithmetic calculations. We illustrate the method with three examples. Copyright © 2005 John Wiley & Sons, Ltd.

Number of times cited according to CrossRef: 45

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