Optimal crossover designs in a model with self and mixed carryover effects

J. Kunert, John Stufken

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

We consider a variant of the usual model for crossover designs with carryover effects. Instead of assuming that the carryover effect of a treatment is the same regardless of the treatment in the next period, the model assumes that the carryover effect of a treatment on itself is different from the carryover effect on other treatments. For the traditional model, optimal designs tend to have pairs of consecutive identical treatments; for the model considered here, they tend to avoid such pairs. Practitioners have long expressed reservations about designs that exhibit such pairs and about the traditional model. The new model provides an attractive alternative that leads to appealing optimal designs.

Original languageEnglish (US)
Pages (from-to)898-906
Number of pages9
JournalJournal of the American Statistical Association
Volume97
Issue number459
DOIs
StatePublished - Sep 2002
Externally publishedYes

Fingerprint

Carry-over Effects
Crossover Design
Mixed Effects
Model
Tend
Reservation
Crossover
Consecutive
Alternatives

Keywords

  • Balance for carryover effects
  • Balanced block design
  • Generalized Latin square
  • Optimal design
  • Universal optimality

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

Optimal crossover designs in a model with self and mixed carryover effects. / Kunert, J.; Stufken, John.

In: Journal of the American Statistical Association, Vol. 97, No. 459, 09.2002, p. 898-906.

Research output: Contribution to journalArticle

@article{12565cce184d43c3951a174db5736f67,
title = "Optimal crossover designs in a model with self and mixed carryover effects",
abstract = "We consider a variant of the usual model for crossover designs with carryover effects. Instead of assuming that the carryover effect of a treatment is the same regardless of the treatment in the next period, the model assumes that the carryover effect of a treatment on itself is different from the carryover effect on other treatments. For the traditional model, optimal designs tend to have pairs of consecutive identical treatments; for the model considered here, they tend to avoid such pairs. Practitioners have long expressed reservations about designs that exhibit such pairs and about the traditional model. The new model provides an attractive alternative that leads to appealing optimal designs.",
keywords = "Balance for carryover effects, Balanced block design, Generalized Latin square, Optimal design, Universal optimality",
author = "J. Kunert and John Stufken",
year = "2002",
month = "9",
doi = "10.1198/016214502388618681",
language = "English (US)",
volume = "97",
pages = "898--906",
journal = "Journal of the American Statistical Association",
issn = "0162-1459",
publisher = "Taylor and Francis Ltd.",
number = "459",

}

TY - JOUR

T1 - Optimal crossover designs in a model with self and mixed carryover effects

AU - Kunert, J.

AU - Stufken, John

PY - 2002/9

Y1 - 2002/9

N2 - We consider a variant of the usual model for crossover designs with carryover effects. Instead of assuming that the carryover effect of a treatment is the same regardless of the treatment in the next period, the model assumes that the carryover effect of a treatment on itself is different from the carryover effect on other treatments. For the traditional model, optimal designs tend to have pairs of consecutive identical treatments; for the model considered here, they tend to avoid such pairs. Practitioners have long expressed reservations about designs that exhibit such pairs and about the traditional model. The new model provides an attractive alternative that leads to appealing optimal designs.

AB - We consider a variant of the usual model for crossover designs with carryover effects. Instead of assuming that the carryover effect of a treatment is the same regardless of the treatment in the next period, the model assumes that the carryover effect of a treatment on itself is different from the carryover effect on other treatments. For the traditional model, optimal designs tend to have pairs of consecutive identical treatments; for the model considered here, they tend to avoid such pairs. Practitioners have long expressed reservations about designs that exhibit such pairs and about the traditional model. The new model provides an attractive alternative that leads to appealing optimal designs.

KW - Balance for carryover effects

KW - Balanced block design

KW - Generalized Latin square

KW - Optimal design

KW - Universal optimality

UR - http://www.scopus.com/inward/record.url?scp=0036745434&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036745434&partnerID=8YFLogxK

U2 - 10.1198/016214502388618681

DO - 10.1198/016214502388618681

M3 - Article

VL - 97

SP - 898

EP - 906

JO - Journal of the American Statistical Association

JF - Journal of the American Statistical Association

SN - 0162-1459

IS - 459

ER -