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Randomization of neighbour balanced generalized Youden designs by Joachim Kunert; Oliver Sailer is a Mathematics article available to read on EtoBox.
What is Randomization of neighbour balanced generalized Youden designs about?
If a crossover design with more than two treatments is carryover balanced, then the usual randomization of experimental units and periods would destroy the neighbour structure of the design. As an alternative, Bailey [1985. Restricted randomization for neighbour-balanced designs. Statist. Decisions Suppl. 2, 237-248] considered randomization of experimental units and of treatment labels, which leaves the neighbour structure intact. She has shown that, if there are no carryover effects, this randomization validates the row-column model, provided the starting design is a generalized Latin square. We extend this result to generalized Youden designs where either the number of experimental units is a multiple of the number of treatments or the number of periods is equal to the number of treatments. For the situation when there are carryover effects we show for so-called totally balanced designs that the variance of the estimates of treatment differences does not change in the presence of carryover effects, while the estimated variance of this estimate becomes conservative.
Who reads Randomization of neighbour balanced generalized Youden designs?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Joachim Kunert; Oliver Sailer
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0378-3758)
- Published
- 2007
- Language
- EN
- Field
- Mathematics (Physical Sciences)