On Highly D-efficient Designs with Non- Negatively Correlated Observations
نویسندگان
چکیده
• In the most difficult case where the number of observations n ≡ 3 (mod 4), high Defficiency 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.
منابع مشابه
D-optimal and highly D-efficient designs with non-negatively correlated observations
In this paper we consider D-optimal and highly D-efficient chemical balance weighing designs. The errors are assumed to be equally non-negatively correlated and to have equal variances. Some necessary and sufficient conditions under which a design is D*-optimal design (regular D-optimal design) are proved. It is also shown that in many cases D*-optimal design does not exist. In many of those ca...
متن کاملExact Optimal Designs for Weighted Least Squares Analysis with Correlated Errors
In the common linear and quadratic regression model with an autoregressive error structure exact D-optimal designs for weighted least squares analysis are determined. It is demonstrated that for highly correlated observations the Doptimal design is close to the equally spaced design. Moreover, the equally spaced design is usually very efficient, even for moderate sizes of the correlation, while...
متن کاملPreferred Robust Response Surface Design with Missing Observations Based on Integrated TOPSIS-AHP Method
- Missing observations occur in experimental designs as a result of insufficient sampling, machine breakdown, high cost, and errors in the measurements. In nanomanufacturing, missing observations often appear in designs because the combination of factors or molecular structures selected by a designer cannot be experimented successfully. In the current paper, Box-Behnken and face-centered compos...
متن کاملPhysical Characteristics and Physically Effectiveness of Beet Pulp for Ruminant
Beet pulp as component of cattle feed can be processed in different way. Tis study was performed to characterize the physical properties of so called fine beet pulp (FBP); normal beet pulp (NBP) and pelleted beet pulp (PBP). The following parameters were determined: bulk density, kinetics of hydration, functional specific gravity (FSG), water holding capacity (WHC), soluble dry matter and intri...
متن کاملOptimal designs for comparing regression models with correlated observations
We consider the problem of efficient statistical inference for comparing two regression curves estimated from two samples of dependent measurements. Based on a representation of the best pair of linear unbiased estimators in continuous time models as a stochastic integral, an efficient pair of linear unbiased estimators with corresponding optimal designs for finite sample size is constructed. T...
متن کامل