کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5773857 | 1631463 | 2017 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On second order orthogonal Latin hypercube designs
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In polynomial regression modeling, the use of a second order orthogonal Latin hypercube design guarantees that the estimates of the first order effects are uncorrelated to each other as well as to the estimates of the second order effects. In this paper, we prove that such designs with n runs and k>2 columns do not exist if nâ¡4mod8. Furthermore, we prove that second order Latin hypercube designs with kâ¥4 columns that guarantee the orthogonality of two-factor interactions which do not share a common factor, do not exist for even n that is not a multiple of 16. Finally, we investigate the class of symmetric orthogonal Latin hypercube designs (SOLHD), which are a special subset of second order orthogonal Latin hypercube designs. We describe construction techniques for SOLHDs with n runs and (a) kâ¤4 columns, when nâ¡0mod8 or nâ¡1mod8, (b) kâ¤8 columns when nâ¡0mod16 or nâ¡1mod16 and (c) k=4 columns when nâ¡0mod16 or nâ¡1mod16, that guarantee the orthogonality of two-factor interactions which do not share a common factor. Finally, we construct and enumerate all non-isomorphic SOLHDs with nâ¤17 runs and kâ¥2 columns, as well as with 19â¤nâ¤20 runs and k=2 columns.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Complexity - Volume 39, April 2017, Pages 111-121
Journal: Journal of Complexity - Volume 39, April 2017, Pages 111-121
نویسندگان
Haralambos Evangelaras, Markos V. Koutras,