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Applied Mathematics A Journal of Chinese Universities  2014, Vol. 29 Issue (3): 269-276    DOI:
    
One class of trend free plans
MA Hai-nan1, CHEN Xue-ping2
1. Department of Humanities and Social Sciences, Zhejiang Industry Polytechnic College, Shaoxing 312000, China
2. Department of Mathematics, Jiangsu University of Technology, Changzhou 213001, China
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Abstract  When experiments are carried out in a sequential of time, the response may be subject to the uncontrollable time trends. In this paper, magic cubes and hypo-magic cubes are used in these trend free plans with multi-factors, which show that all main effects and two-factor interaction effects are both linear trend free. Moreover, the proposed method can be applied for non prime power levers.

Key wordsmulti-factor      uncontrollable effect      hypo-magic cube      interaction effect     
Received: 23 February 2014      Published: 10 June 2018
CLC:  O212.6  
Cite this article:

MA Hai-nan, CHEN Xue-ping. One class of trend free plans. Applied Mathematics A Journal of Chinese Universities, 2014, 29(3): 269-276.

URL:

http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2014/V29/I3/269


一类与时间干扰效应无关的设计顺序

试验设计方法已在各行各业得到了广泛应用, 然而, 有些实验往往受到时间趋势干扰效应的影响. 讨论了具有与趋势干扰效应无关的设计顺序, 借助一类特殊的立体幻方, 特别是次幻立方, 给出了一类主效应和所有二阶交互效应均与时间干扰效应线性无关的设计顺序, 并且该方法针对的因子水平可以是非素数的.

关键词: 多因子,  干扰效应,  次幻立方,  交互效应 
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