Pooling batches in drug stability study by using constant-width simultaneous confidence bands

Wei Liu, M. Jamshidian, Y. Zhang, F. Bretz, X. L. Han

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


One important study objective in drug stability studies is to estimate the shelf-life of a drug. A key statistical problem involved in this is how to assess the practical equivalence of different batches of the same drug so that different batches can be subgrouped to produce a single shelf-life for the drug. In this paper constant-width simultaneous confidence bands are proposed to quantify the magnitude of difference between different batches, with a particular view to establish the practical equivalence of different batches. This approach is suitable for the situation that the intercepts and slopes of the regression lines for the batches cannot be assumed to be equal. It is shown how constant-width simultaneous confidence bands can be easily constructed for the multiple comparison of several general linear regression models. In particular, it is shown that constant-width simultaneous confidence bands have a better chance to establish the equivalence than, and so are preferable to, the hyperbola-shaped simultaneous confidence bands considered.

Original languageEnglish (US)
Pages (from-to)2759-2771
Number of pages13
JournalStatistics in Medicine
Issue number14
StatePublished - Jun 30 2007
Externally publishedYes


  • Drug stability studies
  • Equivalence
  • Linear regression
  • Multiple comparisons
  • Multivariate t
  • Simultaneous inference
  • Statistical simulation

ASJC Scopus subject areas

  • Epidemiology
  • Statistics and Probability


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