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D-Optimal Designs for Morgan Mercer Flodin (MMF) Models Without Intercept

Tatik Widiharih, Sri Haryatmi, Gunardi

Abstract



Morgan Mercer Flodin (MMF) model is a nonlinear model that is a specific growth curve model, which has a S-shaped curve. This model is used to describe the relationship between nutrient intake and an appropriate response. Locally D-optimal designs for MMF models without intercept with two and three parameters are investigated. The number of roots for standardized variance is determined using Tchebysheff system concept and its
properties. It is used to determine whether the design that meets the specified model is minimally supported. In these models, based on the number of roots for standardized variance, these designs are minimally supported with uniform weight on its support. We also investigate the relation among the D-optimal designs for Michaelis Menten , EMAX and MMF models without intercept.

Keywords


Nonlinear Model, D-optimal, Tchebysheff system, Minimally Supported designs.

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