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应用主成分分析法评价卷烟产品质量及其稳定性

Application of Principal Component Analysis in Evaluation of Cigarette Quality and its Consistence

  • 摘要: 为了有效评价卷烟产品的质量及其稳定性,采用主成分分析法(Principal Component Analysis,PCA)分析了卷烟产品A,B1,B2的物理指标和主流烟气指标,确定其主成分特征分量,根据特征矩阵,建立卷烟产品主成分得分图,从而对不同的卷烟样品进行聚类分析;并利用主成分载荷图,分别对卷烟产品物理指标和主流烟气指标的重要性和相关性进行分析。结果表明:①应用主成分分析法可以对不同卷烟产品A,B1进行聚类区分,表明不同牌号的卷烟样品具有不同的主成分得分数据特征;不同时间、批次的同一牌号卷烟B1和B2没有形成聚类,表明该卷烟产品质量具有较好的稳定性。②抽吸口数和烟气一氧化碳的载荷向量夹角为0.86°,较其他指标具有较强的相关性,抽吸口数和烟气水分、吸阻和烟碱的载荷向量处于正交状态,相关性较弱,吸阻与烟气水分的载荷向量夹角为148.09°,呈一定的负相关性。根据各项指标之间的相关性分析,可以为卷烟产品设计和质量控制提供一定的数据参考和理论依据。

     

    Abstract: In order to effectively evaluate cigarette quality and its consistence, the physical indexes and mainstream smoke indexes of cigarette samples A, B1 and B2 were analyzed with Principal Component Analysis (PCA), and their principal components were determined. According to characteristic matrix, the principal component score diagrams of cigarette samples were established, and cluster analyses were conducted. By using principal component load graphs, the importance of cigarette physical indexes and mainstream smoke indexes and their correlations were analyzed respectively. The results showed that:1) The samples of different cigarette brands, A and B1, could be distinguished by cluster analysis, which indicated that they possessed different principal components. While the samples of the same brand but from different batches, B1 and B2 were not differentiable, which indicated that the cigarette brand B was in good quality consistence. 2) The load vector angle of 0.86 degrees between puff number of cigarette and CO in mainstream smoke suggested that there existed stronger correlation between the two. The load vectors of puff number with moisture content in mainstream smoke and that of draw resistance with nicotine in mainstream smoke were in an orthogonal state, it indicated their weak correlations. The load vector angle was 148.09 degrees between draw resistance of cigarette and moisture content in mainstream smoke, it indicated a certain negative correlation between them. The correlation analysis between each index could provide reference and theoretical basis for the product design and quality control of cigarette.

     

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