基于交互作用的双因素无重复试验的方差分析与设计

研究双因素方差分析的基本原理,指出一个试验结果会受不同因素的影响,相同因素的不同水平也会影响试验结果;提出一个交互作用的概念,分别研究了有无交互作用的双因素无重复试验,并根据双因素无重复试验的具体实施情况,利用Excel进行试验设计;采用方差分析法分析了不同地区的家用电器和交通路段与行车时间的实验数据,给出假定的回归模型并对参数进行假设检验和推断．

Interaction based variance analysis and design with double factors for non-repetition experiments

In this paper, the fundamental principle of double factor variance analysis is briefly introduced, and it is pointed out that one experiment can be affected by various factors, the same factor can influence the results with different level. A new conception of interaction is presented. Two factors non-repetition experiments with and without interaction are studied, respectively. Excel is used on experiment design according to specific situations. Experimental data of electronic utilities in different districts and traffic times and road sections are analyzed by variance analysis, hypothetic test and statistical inference are given for parameters by regression model, and have judgment on different factors with different levels.