Analysis of cross-over designs via growth curve models |
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| Institution: | 1. AstraZeneca, SE-151 85 Södertälje, Sweden;2. Department of Biometry and Engineering, Swedish University of Agriculture Sciences, P.O. Box 7013, SE-750 07 Uppsala, Sweden;1. Werfen, Diagnostic Solutions for Life, Línea de Autoinmunidad, L’Hospitalet de Llobregat, Barcelona, Spain;2. Servicio de Inmunología, Hospital Universitario Marqués de Valdecilla, Santander, Spain;1. Servicio de Neumología, Complejo Hospitalario Universitario Infanta Cristina, Badajoz, Spain;2. Servicio de Medicina Interna, Complejo Hospitalario Universitario Infanta Cristina, Badajoz, Spain;1. Servicio de Cirugía Torácica, Hospital Universitario y Politécnico La Fe, Valencia, Spain;2. Servicio de Cirugía Torácica, Instituto Valenciano de Oncología, Valencia, Spain;3. Servicio de Anatomía Patológica, Hospital Universitario y Politécnico La Fe, Departamento de Patología, Universidad de Valencia, Valencia, Spain;1. Servicio de Urgencias, Hospital de la Santa Creu i Sant Pau, Barcelona, Spain;2. Centro de Atención Primaria Horta 7-D, Ámbito Barcelona Ciudad, Barcelona, Spain |
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| Abstract: | Models for repeated measures cross-over designs are defined in terms of growth curve models. In the paper two specific cross-over designs, called the AB:BA and ABAB:BABA design, are studied. The maximum-likelihood (ML) estimators for the parameters are derived by utilizing the theory for growth curve models. A model with a structured dispersion matrix is defined for the AB:BA design, and a specific linear transformation is used to derive estimators in a convenient way. To illustrate numerically, ML estimates are calculated for an ABAB:BABA study. |
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