TY - JOUR
T1 - Optimal crossover designs in a model with self and mixed carryover effects
AU - Kunert, J.
AU - Stufken, J.
N1 - Funding Information:
J. Kunert is Professor, Department of StatistiscU,ivneorDfsmiuondtyr,t D44221 Dortmund, Germany (E-mail: joahim.ckunerutdo@.e)Jd.S.uftkuen isProfe,DepssarmotetnorfSatistics,t IowStateUnaivey,AresmIsitA, 50011 (E-mail: jstufkeniastat@.eeu)Thd.is work ws supaported by Deutsche ForschungsgemsheaftcgintrSFa4n75Band National Science Foundation grant DMS-9803684. The authors are thankful for the detailed and thoughtful cometsmnby the rfeerethateresslteduin this vastly improd vversioen of the article.
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
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U2 - 10.1198/016214502388618681
DO - 10.1198/016214502388618681
M3 - Article
AN - SCOPUS:0036745434
SN - 0162-1459
VL - 97
SP - 898
EP - 906
JO - Journal of the American Statistical Association
JF - Journal of the American Statistical Association
IS - 459
ER -