摘要
本文在分析了偏最小二乘回归分析和多元线性回归分析的适用条件基础上,认为偏最小二乘回归(PLS)可以有效地解决变量间多重共线性的问题,甚至适合在样本量少于变量个数的情况下进行回归建模。然后,依据红河卷烟厂烟丝消耗控制的12组样本数据,本文比较分析了偏最小二乘回归建模和多元线性回归建模的结果,发现影响因变量单箱耗丝的显著性因素为单箱废烟、单箱跑条、单箱小包机剔除量和单箱空头剔除量。因此,卷烟厂在卷包过程中的降耗工作应当首先从控制这四个单箱损耗指标开始实施,才能取得立竿见影的效果。
Onthe basis of some conditions for the application of partial least squaresregression analysis and multivariate linear regression analysis in this paper, wecan conclude that partial least squares regression (PLS) can effectivelyimprove multicollinearity of variables. When the sample size is less than thenumber of variables, it also can be used to do regression modeling. Then, from 12groups of sample data of Tobacco consumption control in Honghe CigaretteFactory, we have analyzed and compared the results of partial least squaresregression modeling and multivariate linear regression modeling in the paper.It has shown that the significant factors affecting the single box consumptionare single case of Wasting, single case of Running, single case of Packet rejectionand single case of Short excluded volume. Therefore, the work of the cigarettefactory in the process of reducing the cost should be firstly controlling thesefour single box loss indicators, so that we will achieve the immediate results.
出处
《统计学与应用》
2015年第3期144-154,共11页
Statistical and Application