Mixed Two- and Eight-level Fractional Factorial Split-plot Designs Containing Clear Effects

被引:10
作者
Yuan, Ye [1 ]
Zhao, Sheng-li [1 ]
机构
[1] Qufu Normal Univ, Sch Stat, Qufu 273165, Peoples R China
来源
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2016年 / 32卷 / 04期
基金
中国国家自然科学基金;
关键词
split-plot design; mixed-level design; clear; 2-FACTOR INTERACTION COMPONENTS; RESOLUTION-III; IV;
D O I
10.1007/s10255-016-0620-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Fractional factorial split-plot (FFSP) designs are useful in practical experiments. When the numbers of levels of the factors are not all equal in an experiment, mixed-level design is selected. This paper investigates the conditions of a resolution III or IV FFSP design with both two-level and eight-level factors to have various clear effects, including two types of main effects and three types of two-factor interaction components.
引用
收藏
页码:995 / 1004
页数:10
相关论文
共 11 条
  • [1] ORTHOGONAL MAIN-EFFECT PLANS FOR ASYMMETRICAL FACTORIAL EXPERIMENTS
    ADDELMAN, S
    [J]. TECHNOMETRICS, 1962, 4 (01) : 21 - +
  • [2] 2n-m designs with resolution III or IV containing clear two-factor interactions
    Chen, HG
    Hedayat, AS
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1998, 75 (01) : 147 - 158
  • [3] A GRAPH-AIDED METHOD FOR PLANNING 2-LEVEL EXPERIMENTS WHEN CERTAIN INTERACTIONS ARE IMPORTANT
    WU, CFJ
    CHEN, YY
    [J]. TECHNOMETRICS, 1992, 34 (02) : 162 - 175
  • [4] 2(n1+n2)-(k1+k2) Fractional factorial split-plot designs containing clear effects
    Yang, Jian-Feng
    Li, Peng-Fei
    Liu, Min-Qian
    Zhang, Run-Chu
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2006, 136 (12) : 4450 - 4458
  • [5] Some Results on Fractional Factorial Split-Plot Designs with Multi-Level Factors
    Yang, Jianfeng
    Liu, Min-Qian
    Zhang, Runchu
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2009, 38 (20) : 3623 - 3633
  • [6] 2m4n supercript stop designs with resolution III or IV containing clear two-factor interaction components
    Zhao, S.
    Zhang, R.
    [J]. STATISTICAL PAPERS, 2008, 49 (03) : 441 - 454
  • [7] Some results on 4m2n designs with clear two-factor interaction components
    Zhao ShengLi
    Zhang RunChu
    Liu MinQian
    [J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (07): : 1297 - 1314
  • [8] Mixed-level fractional factorial split-plot designs containing clear effects
    Zhao, Shengli
    Chen, Xiangfei
    [J]. METRIKA, 2012, 75 (07) : 953 - 962
  • [9] Mixed two- and four-level fractional factorial split-plot designs with clear effects
    Zhao, Shengli
    Chen, Xiangfei
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2012, 142 (07) : 1789 - 1793
  • [10] On optimal two-level nonregular factorial split-plot designs
    Zi, Xue-Min
    Zhang, Runchu
    Liu, Min Qian
    [J]. JOURNAL OF COMPLEXITY, 2012, 28 (04) : 459 - 467