کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1145683 1489676 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
D-optimal designs for multiresponse linear models with a qualitative factor
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز عددی
پیش نمایش صفحه اول مقاله
D-optimal designs for multiresponse linear models with a qualitative factor
چکیده انگلیسی


• 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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 124, February 2014, Pages 57–69
نویسندگان
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