Optimality regions for designs in multiple linear regression models with correlated random coefficients

11/13/2019
by   Ulrike Graßhoff, et al.
0

This paper studies optimal designs for linear regression models with correlated effects for single responses. We introduce the concept of rhombic design to reduce the computational complexity and find a semi-algebraic description for the D-optimality of a rhombic design via the Kiefer-Wolfowitz equivalence theorem. Subsequently, we show that the structure of an optimal rhombic design depends directly on the correlation structure of the random coefficients.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset