本文選題：關(guān)聯(lián)矩陣　切入點(diǎn)：正交　出處：《中國(guó)科學(xué):數(shù)學(xué)》2017年06期 　論文類型：期刊論文

【摘要】：區(qū)組設(shè)計(jì)被廣泛應(yīng)用在人類的各種探索試驗(yàn)中.以往的研究中,區(qū)組大小通常被假定是相等的,但時(shí)常與實(shí)際情形相悖.本文討論了區(qū)組大小不等時(shí)的正交主效應(yīng)設(shè)計(jì),該類設(shè)計(jì)的處理主效應(yīng)可以通過(guò)區(qū)組因子達(dá)到正交;同時(shí)討論了相關(guān)的設(shè)計(jì)性質(zhì).最后,本文給出了若干構(gòu)造方法,包括如何添加新的區(qū)組,以及如何疊加不同區(qū)組大小的設(shè)計(jì).結(jié)果表明相應(yīng)設(shè)計(jì)具有較為靈活的區(qū)組數(shù)、區(qū)組大小和因子數(shù).
[Abstract]:Block design is widely used in human exploration experiments. In previous studies, the block size is usually assumed to be equal, but often contrary to the actual situation. This paper discusses the orthogonal principal effect design when block size is different. The main effects of this kind of design can be orthogonal by block factor. At the same time, the related design properties are discussed. Finally, some construction methods are given, including how to add new block, The results show that the corresponding design has more flexible block number, block size and factor number.
【作者單位】： 江蘇理工學(xué)院數(shù)理學(xué)院;南京審計(jì)大學(xué)統(tǒng)計(jì)科學(xué)與大數(shù)據(jù)研究院;
【基金】：國(guó)家自然科學(xué)基金(批準(zhǔn)號(hào):11571073,11601195和11471172) 教育部高等學(xué)校博士點(diǎn)基金(批準(zhǔn)號(hào):20120092110021) 江蘇省自然科學(xué)基金(批準(zhǔn)號(hào):BK20141326和BK20160289) 江蘇高�！扒嗨{(lán)工程”和江蘇省高校自然科學(xué)基金(批準(zhǔn)號(hào):16KJB110005)資助項(xiàng)目
【分類號(hào)】：O212.6
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本文編號(hào)：1567882