کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1145683 | 1489676 | 2014 | 13 صفحه PDF | دانلود رایگان |

• Determinant of information matrix of a product design is separated into two parts.
• The optimal marginal design is uniform on the index set of the qualitative levels.
• D-optimal design for a hierarchically ordered system of multiresponses is given.
Consider a linear regression model with both quantitative and qualitative factors and an kk-dimensional response variable y whose components are equicorrelated for each observation. The D-optimal design problem is investigated when the levels of the qualitative factor interact with the quantitative factors. It is shown that the determinant of the information matrix of a product design can be separated into two parts corresponding to the two marginal designs. It is also shown that for the hierarchically ordered system of regression models, the D-optimal design does not depend on the covariance matrix of y.
Journal: Journal of Multivariate Analysis - Volume 124, February 2014, Pages 57–69