Optimum designs for nonlinear models

• Grant number: 23/09329-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2023
• End date: August 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Applied Probability and Statistics
• Principal Investigator: Luzia Aparecida Trinca
• Grantee: Gustavo José Dorini Júnior
• Host Institution: Instituto de Biociências (IBB). Universidade Estadual Paulista (UNESP). Campus de Botucatu. Botucatu , SP, Brazil

Abstract

Optimal designs play an important role in areas that evolve through experimentation, especially when conditions do not allow the use of classical rules for building an efficient design. When the model for analyzing the results is non-linear, the difficulties are more significant. The theory of optimal designs is useful to guide planning, however, due to non-linearity, the process is more complex and specific for each model. In this project, the problem will be studied and algorithms will be computationally implemented to build optimal designs for nonlinear models. Several approximations are needed in the process. The study is expected to point out the alternatives with greater efficiency, both from the computational point of view and the quality of the constructed designs.