کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11020325 | 1717552 | 2019 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Maximin power designs in testing lack of fit
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In a previous article (Wiens, 1991) we established a maximin property, with respect to the power of the test for Lack of Fit, of the absolutely continuous uniform 'design' on a design space which is a subset of Rq with positive Lebesgue measure. Here we discuss some issues and controversies surrounding this result. We find designs which maximize the minimum power, over a broad class of alternatives, in discrete design spaces of cardinality N. We show that these designs are supported on the entire design space. They are in general not uniform for fixed N, but are asymptotically uniform as Nââ. Several examples with N fixed are discussed; in these we find that the approach to uniformity is very quick.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 199, March 2019, Pages 311-317
Journal: Journal of Statistical Planning and Inference - Volume 199, March 2019, Pages 311-317
نویسندگان
Douglas P. Wiens,