Journal ArticleDOI
Search designs for 2m factorials derived from balanced arrays of strength 2(l+1) and ad-optimal search designs
Reads0
Chats0
TLDR
In this paper, a search design for the 2m type such that at most knonnegative effects can be searched among (l+1)-factor interactions and estimated along with the effects up to l- factor interactions, provided (l + 1)-factor and higher order interactions are negligible except for the k effects.About:
This article is published in Journal of Statistical Planning and Inference.The article was published on 1985-02-01. It has received 15 citations till now.read more
Citations
More filters
Journal ArticleDOI
Main effect + one or two plans for 2m factorials
TL;DR: In this article, the problem of finding a design T2 so that T = T1 + T2 is a main effect plus k (= 1, 2) plan for 2m factorials (m = 2h - 1, h ⩾ 3).
Journal ArticleDOI
On the inadequacy of the customary orthogonal arrays in quality control and general scientific experimentation, and the need of probing designs of higher revealing power ∗
TL;DR: In this article, the authors consider the general factor screening problem when interactions may be present, and propose the concept of revealing power of designs, i.e. of their ability to help identify nonnegligible parameters.
Book ChapterDOI
Model Identification Using Search Linear Models and Search Designs
TL;DR: This paper focuses on model identification through the use of the search linear models, particularly in addressing the fundamental issues and important challenges in statistical design and analysis of experiments while presenting an overview on this area of research.
Journal ArticleDOI
Fractional factorial designs of two and three levels
TL;DR: A survey of the results on balanced fractional designs of the 2 m and 3 m types established by Chopra, Kuwada, Shirakura, Srivastava and Yamamoto, new results on search designs of 2 m type, and open problems on the construction of fractional design are presented.
References
More filters
Journal ArticleDOI
Balanced Optimal 2m Fractional Factorial Designs of Resolution V, m ? 6
J. N. Srivastava,D. V. Chopra +1 more
TL;DR: In this article, balanced optimal fractional factorial designs of 2 m series which allow the estimation of the general mean, main effects and two factor interactions are described, and covariance matrices of the estimates of the effects are also presented for each design.
Journal ArticleDOI
Balanced arrays of strength 2l and balanced fractional 2m factorial designs
TL;DR: In this paper, the algebraic structure of the information matrix of the fractional design was investigated and a necessary and sufficient condition was established for a fractional 2 ``(m�m�m m�� factorial designT of resolution 2l+1 to be balanced.
Journal ArticleDOI
Some general existence conditions for balanced arrays of strength t and 2 symbols
TL;DR: Necessary existence conditions for the existence of a balanced array ( B -array) (“partially balanced” array) of 2 symbols, strength t , and m rows (with m ⩽ t + 2).
Journal ArticleDOI
Balanced 2m factorial designs of resolution v which allow search and estimation of one extra unknown effect, 4 ≤ m ≤ 8
J.N. Srivastava,S. Ghosh +1 more
TL;DR: In this article, balanced resolution V plans for 2m factorial experiments (4 ≤ m ≤ 8) were obtained, where the problem is to search which effect is non-negligible and to estimate it, along with estimating the main effects and two factor interactions etc., as in an ordinary resolution V design.
Journal ArticleDOI
Optimal balanced 2 7 fractional factorial designs of resolution V , with N ≦42
TL;DR: In this paper, a class of fractional factorial designs of the 27 series, which are of resolutionV, are presented, allowing the estimation of the general mean, the main effects and the two factors interactions (29 parameters in all for the 27 factorial) assuming that the higher order effects are negligible.
Related Papers (5)
Balanced 2m factorial designs of resolution v which allow search and estimation of one extra unknown effect, 4 ≤ m ≤ 8
J.N. Srivastava,S. Ghosh +1 more
Weakly resolvable IV.3 search designs for the pn factorial experiment
Donald A. Anderson,Ann M. Thomas +1 more