Optimal designs in growth curve models — II Correlated model for quadratic growth: optimal designs for parameter estimation and growth prediction

✍ Scribed by Markus Abt; Norbert Gaffke; Erkki P. Liski; Bikas K. Sinha

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 651 KB
• Volume: 67
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(97)00130-4

✦ Synopsis

This is a tbllow up of a recent paper on the study of the optimality aspects of linear growth models with correlated errors. In this paper, we examine optimality aspects of quadratic growth models with correlated en~rs and provide optimal designs for parameter estimation and growth prediction. In the tbrmer case we examine A-, D-and E-optimal designs and in the latter case we examine A-optimal designs, under two dillbren! correlation structures. In the process, we also examine the robustness o1" optimal designs with i"espect to the values ol" the correlation coellicient. ~ It)()8 Elsevier Science I].V. All rights reserved.