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植物研究 ›› 2014, Vol. 34 ›› Issue (6): 850-855.doi: 10.7525/j.issn.1673-5102.2014.06.023

• 论文 • 上一篇    下一篇

黄芪判别预测的线性回归分析方法

    

  1. 1.山西大学中医药现代研究中心,太原 030006;
    2.山西大学数学科学学院,太原 030006
  • 收稿日期:2014-03-11 出版日期:2014-11-20 发布日期:2015-01-06
  • 通讯作者: E-mail:lizhenyu@sxu.edu.cn
  • 基金资助:
     

Discriminant Predictive Linear Regression Analysis Method for Astragalus

    

  1. 1.Modern Research Center for Traditional Chinese Medicine,Taiyuan 030006;
    2.College of Mathematics and Science,Shanxi University,Taiyuan 030006
  • Received:2014-03-11 Online:2014-11-20 Published:2015-01-06
  • Supported by:
     

摘要: 对蒙古类黄芪和膜荚黄芪分别建立木质部直径与横截面直径的一元线性回归模型,并进行回归分析和样本的分类,并通过多次随机抽取检验样本,给出了分类结果的正确率,结果显示蒙古模型分类效果很好。另外,本研究对不同生长年限的蒙古类黄芪样品进行了方差齐性t检验,并采用t检验的方法给出了2年和2年以上样品的木质部直径与横截面直径的比值的置信区间,结果显示2年和2年以上的置信区间没有交叉且相隔明显,以此可推断黄芪样本大概生长年限。本研究为黄芪药材品种和生长年限的确定提供了一种简单、快速的方法,可以简单地将黄芪分类,且能对确定种属的黄芪的生长年限加以判定。

关键词: 黄芪, 分类, 回归分析, t检验

Abstract: In this paper, the unary linear regression model between diameter of the xylem and cross section diameter was respectively set up for Astragalus membranaceus(Fisch.) Bge var. mongholicus(Bge.) Hsiao and A.membranaceus(Fisch) Bge.. Regression analysis and the classification of samples were conducted. Through several extracting random samples, correct classification rate was got. The results showed that the classification effect of A.membranaceus(Fisch.) Bge var. mongholicus(Bge.) Hsiao model was very good. In addition, the homogeneity of variance t test on samples of different growth years was carried on the samples of A.membranaceus(Fisch.) Bge var. mongholicus(Bge.) Hsiao. Through t test, it gave the confidence interval of the ratio between xylem and cross section diameter of samples of 2 years and above 2 years. Results showed that the interval of 2 years and above 2 years samples did not cross and could be obviously apart so that the growth years of Astragalus can be deduced. The study provides a simple and fast method for determining the varieties and growth years of Astragalus herbs. Hence, Astragalus samples can simply be classified and the growth years of a certain type of Astragalus can be determined.

Key words: Astragalus, classification, regression analysis, t test

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