發(fā)布時間：2018-11-05 16:35

【摘要】：因子設(shè)計(jì)在試驗(yàn)中有廣泛運(yùn)用,隨機(jī)化是試驗(yàn)設(shè)計(jì)的基本原則之一.對試驗(yàn)進(jìn)行隨機(jī)化的前提條件是各試驗(yàn)單元具有齊性.由于實(shí)際條件等難以控制因素的限制,各試驗(yàn)單元的齊性難以保證,這會導(dǎo)致試驗(yàn)結(jié)果的精度下降.這時,試驗(yàn)者往往采取區(qū)組設(shè)計(jì)實(shí)施試驗(yàn).由于分區(qū)組設(shè)計(jì)在我們生活中有廣泛的應(yīng)用,對它的研究一直是試驗(yàn)設(shè)計(jì)研究領(lǐng)域的一個熱門課題.目前,國際上對于分區(qū)組設(shè)計(jì)的研究基本上都是單區(qū)組變量的分區(qū)組設(shè)計(jì).最小低階混雜(minimum aberration,MA)準(zhǔn)則是選擇最優(yōu)設(shè)計(jì)的常用準(zhǔn)則.由于目前國際上對于在MA準(zhǔn)則下關(guān)于多個區(qū)組變量情形下最優(yōu)分區(qū)組設(shè)計(jì)的研究幾乎是空白,本文主要研究在MA準(zhǔn)則下具有多個區(qū)組變量的最優(yōu)區(qū)組設(shè)計(jì)理論.首先提出了多個區(qū)組變量的分區(qū)組設(shè)計(jì)的效應(yīng)分層原則,在該原則下定義了相應(yīng)的字長型,然后提出了多個區(qū)組變量分區(qū)組設(shè)計(jì)的最小低階混雜(multiple blocked minimum aberration, MBMA)準(zhǔn)則.本文主要研究了在MBMA準(zhǔn)則下具有兩個區(qū)組變量和三個區(qū)組變量的全設(shè)計(jì)的最優(yōu)分區(qū)組設(shè)計(jì)的構(gòu)造方法,從理論上構(gòu)造出了這兩類設(shè)計(jì)的MBMA設(shè)計(jì).
[Abstract]:Factor design is widely used in experiments, randomization is one of the basic principles of experimental design. The premise of randomization is the homogeneity of each test unit. The homogeneity of each test unit is difficult to guarantee due to the limitation of difficult control factors such as actual conditions, which will lead to the decrease of the accuracy of the test results. At this point, the experimenter often takes the block design to carry out the experiment. Because of its wide application in our life, the study of partition group design has been a hot topic in the field of experimental design. At present, the international research on partition group design is basically single block variable partition group design. Minimum low order hybrid (minimum aberration,MA) criterion is commonly used to select optimal design. Since there is almost no research on the design of optimal partition groups in the case of multiple block variables under the MA criterion, this paper mainly studies the optimal block design theory with multiple block variables under the MA criterion. Firstly, the effect stratification principle of partition group design for multiple block variables is proposed, and the corresponding word length type is defined under this principle, and then the minimum low order hybrid (multiple blocked minimum aberration, MBMA) criterion for the partition group design of multiple block variables is proposed. In this paper, the construction method of optimal partition group design with two block variables and three block variables under MBMA criterion is studied, and the MBMA design of these two designs is constructed theoretically.
【學(xué)位授予單位】：曲阜師范大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：C81

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本文編號：2312659