Influence analysis to assess sensitivity of the dropout process

  • Authors:
  • Geert Molenberghs;Geert Verbeke;Herbert Thijs;Emmanuel Lesaffre;Michael G Kenward

  • Affiliations:
  • Biostatistics, Center for Statistics, Limburgs Universitair Centrum, Universitaire Campus, Building D, B-3590 Diepenbeek, Belgium;Katholieke Universiteit Leuven, Leuven, Belgium;Limburgs Universitair Centrum, Diepenbeek, Belgium;Katholieke Universiteit Leuven, Leuven, Belgium;London School of Hygiene and Tropical Medicine, London, UK

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2001

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Abstract

Diggle and Kenward (Appl. Statist. 43 (1994) 49) proposed a selection model for continuous longitudinal data subject to possible non-random dropout. It has provoked a large debate about the role for such models. The original enthusiasm was followed by skepticism about the strong but untestable assumption upon which this type of models invariably rests. Since then, the view has emerged that these models should ideally be made part of a sensitivity analysis. One of their examples is a set of data on mastitis in dairy cattle, about which they concluded that the dropout process was non-random. The same data were used in Kenward (Statist. Med. 17 (1998) 2723), who performed an informal sensitivity analysis. It thus presents an interesting opportunity for a formal sensitivity assessment, as proposed by Verbeke et al. (sensitivity analysis for non-random dropout: a local influence approach, 2000; submitted), based on local influence (Cook, J. Roy. Statist. Soc. Ser. B 48 (1986) 133).