Randomization and Additivity in the Two‐Period Crossover Clinicial Trial

Richard McHugh, Orlando W Gomez-Marin

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In certain areas of medical research, the two‐period crossover design is a frequent choice for comparing treatments A and B in a randomized clinical trial. Earlier work by Grizzle and by Brown was based upon a parametric theory linear model. Recently, the present authors employed D. R. Cox's additive randomization models and, for the case of zero residual effect, found a discrepancy between it and the parametric model with respect to the precision of period effects. In the present note, this divergence is accounted for by allowing for the possibility of non‐additivity through the use of a completely general randomization model. It is concluded that the structure of the crossover design is such that use of the parametric theory linear model is required if a single, consistent model is desired.

Original languageEnglish (US)
Pages (from-to)961-970
Number of pages10
JournalBiometrical Journal
Volume29
Issue number8
DOIs
StatePublished - 1987
Externally publishedYes

Fingerprint

Crossover Trial
Additivity
Random Allocation
Randomisation
Cross-Over Studies
Crossover Design
Linear Models
Linear Model
Biomedical Research
Randomized Clinical Trial
Randomized Controlled Trials
Parametric Model
Research and Development
Discrepancy
Divergence
Model
Zero
Randomization
Crossover

Keywords

  • Additive randomization model
  • Crossover trial
  • General randomization model
  • Parametric theory model

ASJC Scopus subject areas

  • Statistics and Probability
  • Medicine(all)
  • Statistics, Probability and Uncertainty

Cite this

Randomization and Additivity in the Two‐Period Crossover Clinicial Trial. / McHugh, Richard; Gomez-Marin, Orlando W.

In: Biometrical Journal, Vol. 29, No. 8, 1987, p. 961-970.

Research output: Contribution to journalArticle

McHugh, Richard ; Gomez-Marin, Orlando W. / Randomization and Additivity in the Two‐Period Crossover Clinicial Trial. In: Biometrical Journal. 1987 ; Vol. 29, No. 8. pp. 961-970.
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