On Highly D-Efficient Designs with Nonnegatively Correlated Observations

Abstract

In the most difficult case where the number of observations n ≡ 3 (mod 4), high D-efficiency of certain chemical balance weighing designs under completely symmetric covariance matrix of errors is shown. It is also proved that D-optimal design may depend on the values of the correlation coefficient.

Keywords

• chemical balance weighing design
• correlated observations
• D-efficiency
• D-optimality
• Hadamard matrix
• simulated annealing algorithm