A note on the D-optimality and D-efficiency of nonorthogonal blocked main effects plans

• Autorzy: Łukasz Smaga
• Języki publikacji: EN

Abstrakty

EN

This paper considers main effects plans used to study m two-level factors using n runs which are partitioned into b blocks of equal size k = n/b. The assumptions are adopted that n ≡ 2 (mod 8) and k > 2 is even. Certain designs not having all main effects orthogonal to blocks were shown by Jacroux (2011a) to be D-optimal when (m − 2)(k − 2) + 2 ⩽ n ⩽ (m − 1)(k − 2) + 2. Here, we extend that result. For (m − 3)(k − 2) + 2 ⩽ n < (m − 2)(k − 2) + 2, the D-optimality of those designs is proved. Moreover, their D-efficiency is shown to be close to one for 2(m + 1) ⩽ n < (m − 3)(k − 2) + 2, indicating their good performance under the criterion of D-optimality.

Słowa kluczowe

EN

blocked main effects plan; D-efficiency; D-optimality; Fischer’s inequality; Hadamard’s inequality; nonorthogonality

• Wydawca: De Gruyter Open
• Czasopismo: Biometrical Letters
• Rocznik: 2016
• Tom: 53
• Numer: 2
• Strony: 119-131

Daty

wydano

2016-12-01

online

2016-12-10

Twórcy

autor

Łukasz Smaga

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań,

Identyfikatory

DOI

10.1515/bile-2016-0009