What is it about?

The new two periods crossover designs having two active treatments and a placebo, enables the estimation of treatment contrasts, unlike the classic two treatments two periods crossover which fails to estimate the treatment contrasts under self and mixed carryover model. The crossover designs having three or four periods in two active treatments and a placebo, estimate treatment contrasts more efficiently under self and mixed carryover model than the usual two treatments crossover designs.

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Why is it important?

This article contributes several new three treatments crossover designs consisting of two active treatments and a placebo. Such a crossover design is characterized as an optimal and/or efficient for two to four periods having different number of subjects.

Perspectives

Now the experimenter can use a crossover design in three more situations: first, when the carryover of both active treatments are not equal; second, to estimate treatment contrasts under self and mixed carryover model when measurement of subjects is possible up to two periods only; and third, when availability of subjects is in multiple of three. Also, experimenters now have more choices of optimal and/or efficient crossover designs for precise comparison of two active treatments in three and four periods.

Dr Jigneshkumar J Gondaliya
Gujarat University

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This page is a summary of: Optimal and/or efficient three treatment crossover designs for five carryover models, Journal of Biopharmaceutical Statistics, November 2019, Taylor & Francis,
DOI: 10.1080/10543406.2019.1684311.
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