It is often known in advance that certain subsets of factors act independently upon a response. Such information can be used to estimational advantage by aliasing low-order effects with such zero interactions. We find the best 2 "-k fractions for the case when the factors can be partitioned into two
Aliasing in 2n−k fractions in the case of a separation of factors
✍ Scribed by Gregory Constantine; Lianyong Xue
- Book ID
- 104340624
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 99 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0378-3758
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✦ Synopsis
When studying a response as a function of several factors, engineering reasons or other deterministic considerations often imply that interactions between certain factors do not exist. This prompts advantageous exploitation of the aliasing pattern in fractional factorial designs. The general case when factors (each at two levels) can be partitioned into two classes, with no interactions present between the two classes, is treated in this paper.
📜 SIMILAR VOLUMES
A 1-factor of a graph G = (V, E) is a collection of disjoint edges which contain all the vertices of V . Given a 2n -1 edge coloring of K2n, n ≥ 3, we prove there exists a 1-factor of K2n whose edges have distinct colors. Such a 1-factor is called a ''Rainbow.''