5 papers · 1 filter
Equivalence theorems for compound design problems with application in mixed models
Maryna Prus
In the present paper we consider design criteria which depend on several designs simultaneously. We formulate equivalence theorems based on moment matrices (if criteria depend on d…
Optimal Designs for Prediction in Two Treatment Groups Random Coefficient Regression Models
Maryna Prus
The subject of this work is two treatment groups random coefficient regression models, in which observational units receive some group-specific treatments. We provide A- and D-opti…
Optimal Designs for Minimax-Criteria in Random Coefficient Regression Models
Maryna Prus
We consider minimax-optimal designs for the prediction of individual parameters in random coefficient regression models. We focus on the minimax-criterion, which minimizes the "wor…
Various Optimality Criteria for the Prediction of Individual Response Curves
Maryna Prus
We consider optimal designs for the Kiefer cirteria, which include the E-criterion as a particular case, and the G-criterion in random coefficients regression (RCR) models. We obta…
Optimal Designs in Multiple Group Random Coefficient Regression Models
Maryna Prus
The subject of this work is multiple group random coefficients regression models with several treatments and one control group. Such models are often used for studies with cluster…