MIXTURE DESIGNS GENERATED USING ORTHOGONAL ARRAYS BASED ON PAIRWISE ORTHOGONAL LATIN SQUARES

被引：0
|
作者：
Singh, Poonam [1 ]
Sarin, Vandana [2 ]
Midha, Neha [1 ]
机构：
[1] Univ Delhi, Dept Stat, Delhi 110007, India
[2] Univ Delhi, Dept Stat, Kirori Mal Coll, Delhi 110007, India
来源：
INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES | 2021年 / 17卷 / 02期
关键词：
Mixture experiments; Pairwise orthogonal latin squares; Restricted region; G-efficiency; Orthogonal arrays; SIMPLEX; CONSTRUCTION;
D O I：
暂无
中图分类号：
S [农业科学];
学科分类号：
09 ;
摘要：
This paper presents an algorithm for constructing mixture designs based on orthogonal arrays of index unity containing the least number of runs for a specified strength and a specified number of levels using pairwise orthogonal Latin squares. The algorithm permits the generation of economical and efficient mixture designs for fitting Scheffe's canonical polynomials.
引用
收藏
页码：791 / 800
页数：10
相关论文
共 50 条
  • [21] Mixture Designs Constructed Using Taguchi’s Mixed Element Orthogonal Arrays
    Poonam Singh
    Vandana Sarin
    Neha Midha
    Journal of Statistical Theory and Practice, 2020, 14
  • [22] Difference Covering Arrays and Pseudo-Orthogonal Latin Squares
    Fatih Demirkale
    Diane Donovan
    Joanne Hall
    Abdollah Khodkar
    Asha Rao
    Graphs and Combinatorics, 2016, 32 : 1353 - 1374
  • [23] Orthogonal Latin hypercube designs from generalized orthogonal designs
    Georgiou, Stelios D.
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2009, 139 (04) : 1530 - 1540
  • [24] Permutation arrays for powerline communication and mutually orthogonal Latin squares
    Colbourn, CJ
    Klove, T
    Ling, ACH
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (06) : 1289 - 1291
  • [25] Difference Covering Arrays and Pseudo-Orthogonal Latin Squares
    Demirkale, Fatih
    Donovan, Diane
    Hall, Joanne
    Khodkar, Abdollah
    Rao, Asha
    GRAPHS AND COMBINATORICS, 2016, 32 (04) : 1353 - 1374
  • [26] Enumerating Orthogonal Latin Squares Generated by Bipermutive Cellular Automata
    Mariot, Luca
    Formenti, Enrico
    Leporati, Alberto
    CELLULAR AUTOMATA AND DISCRETE COMPLEX SYSTEMS (AUTOMATA 2017), 2017, 10248 : 151 - 164
  • [27] LIMITS ON PAIRWISE AMICABLE ORTHOGONAL DESIGNS
    WOLFE, W
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1981, 33 (05): : 1043 - 1054
  • [28] Aspects of complete sets of 9 x 9 pairwise orthogonal Latin squares
    Owens, PJ
    Preece, DA
    DISCRETE MATHEMATICS, 1997, 167 : 519 - 525
  • [29] SOME RESULTS ON ORTHOGONAL LATIN SQUARES WITH ORTHOGONAL SUBSQUARES
    ZHU, L
    UTILITAS MATHEMATICA, 1984, 25 (MAY) : 241 - 248
  • [30] On the orthogonal Latin squares polytope
    Appa, G
    Magos, D
    Mourtos, I
    Janssen, JCM
    DISCRETE MATHEMATICS, 2006, 306 (02) : 171 - 187
12345