Randomization Modelling of the Crossover Experiment for Clinical Trials

Orlando W Gomez-Marin, R. B. McHugh

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The two‐period cross‐over experiment for clinical trials has been examined by several writers following a Gaussian linear model approach. Some authors have expressed interest in the “derivation of the finite permutation model” and have pointed out that the randomization approach to modeling the two‐period cross‐over design “would highlight the importance of randomizing the subjects to the two groups as a basis for inference”. However, in the literature, there is no development of the randomization approach to this important design. In this paper, after a statement of the experimental design and formulation of the observation random variables of the finite population, two additive randomization models—one with residual effects, the other without—which are the analogues of Grizzle's Gaussian models, are derived. Statistical inference is developed for these randomization models and the results are compared with those of the corresponding Gaussian models. Also, exact inference based upon Fischer's approach is presented.

Original languageEnglish (US)
Pages (from-to)901-914
Number of pages14
JournalBiometrical Journal
Volume26
Issue number8
DOIs
StatePublished - 1984
Externally publishedYes

Fingerprint

Random Allocation
Randomisation
Clinical Trials
Crossover
Gaussian Model
Modeling
Experiment
Crossover Design
Exact Inference
Finite Population
Statistical Inference
Experimental design
Cross-Over Studies
Linear Models
Linear Model
Permutation
Research Design
Random variable
Observation
Analogue

Keywords

  • Fischer's exact test
  • Gaussian linear model
  • Randomization model
  • Two‐period cross‐over design

ASJC Scopus subject areas

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

Cite this

Randomization Modelling of the Crossover Experiment for Clinical Trials. / Gomez-Marin, Orlando W; McHugh, R. B.

In: Biometrical Journal, Vol. 26, No. 8, 1984, p. 901-914.

Research output: Contribution to journalArticle

Gomez-Marin, Orlando W ; McHugh, R. B. / Randomization Modelling of the Crossover Experiment for Clinical Trials. In: Biometrical Journal. 1984 ; Vol. 26, No. 8. pp. 901-914.
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