Confidence bands for growth and response curves

Jiayang Sun, Jonathan Raz, Julian J. Faraway

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Linear models with structured covariance matrices are applicable to a wide variety of longitudinal data sets. This paper presents a method for constructing simultaneous confidence bands for the growth or response curve. The bands can be defined on finite intervals and various other subsets of the real line. Previous results on simultaneous confidence bands in linear regression with independent errors are generalized to include correlated errors when the covariance matrix depends on a finite number of unknown parameters. A correction for the additional variability arising from estimation of unknown covariance parameters is presented. The method is evaluated using data simulated from several different linear models, and it is applied to the analysis of pig metabolite concentrations after brief myocardial ischemia.

Original languageEnglish
Pages (from-to)679-698
Number of pages20
JournalStatistica Sinica
Volume9
Issue number3
Publication statusPublished - 1 Jul 1999

Keywords

  • Longitudinal data
  • Mixed effects
  • Nuclear magnetic resonance
  • Repeated measurements
  • Structured covariance
  • Tube method

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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