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在生产和科研中,经常遇到某指标受到多个因子影响的情况.以化工生产和科研为例:由于原料用量、浓度与产地的不同,几种原料的配比变化,以及反应条件的不同,化工产品的产量和质量指标也就可能不同.我们总是希望安排一定数量的试验,使得通过对这批试验结果(数据)的分析能够回答以下问题:各因子中那些因子对指标的影响是显著的,那些因子的影响无关紧要?这些因子各取什么水平搭配起来对指标最为有利?在上述最优水平组合下,指标大致在什么范围内变动?
In production and scientific research, it is often encountered that a certain index is affected by multiple factors. Take chemical production and scientific research as an example: due to the difference in raw material usage, concentration and origin, the ratio of several raw materials, and the reaction conditions The output and quality indicators of chemical products may also be different. We always hope to arrange a certain number of tests so that the analysis of this batch of test results (data) can answer the following questions: Which factors in the factors affect the indicators? Significantly, the influence of those factors is irrelevant? What factors of each of these factors are taken together to be most beneficial to the indicators? Under what above-mentioned optimal level combination, what is the scope of the indicators in general?