吉林大学学报(理学版)

• 数学 • 上一篇    下一篇

回归模型参数检验及多克隆抗体效价的回归分析

彭毳鑫1, 杜泊船2   

  1. 1. 吉林师范大学 数学学院, 吉林 四平 136000; 2. 吉林大学 生命科学学院, 长春 130012
  • 收稿日期:2013-07-01 出版日期:2013-09-26 发布日期:2013-09-17
  • 通讯作者: 彭毳鑫 E-mail:pengcuixin@126.com

Test for Linear Regression Model Parameter andRegression Analysis for the Polyclonal Antibody Titer

PENG Cuixin1, DU Bochuan2   

  1. 1. School of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;2. College of Life Science, Jilin University, Changchun 130012, China
  • Received:2013-07-01 Online:2013-09-26 Published:2013-09-17
  • Contact: PENG Cuixin E-mail:pengcuixin@126.com

摘要:

利用经验似然方法研究一元线性回归模型参数的检验问题, 构造了相关检验的检验统计量, 并在零假设下获得了检验统计量的极限分布. 结果表明, 该方法可用于多克隆抗体稀释倍数与有色物吸光度值(OD值)的建模.

关键词: 线性回归模型, 经验似然, 最小二乘

Abstract:

The authors studied the test problem for linear regression model parameter using the empirical likelihood method. The empirical likelihood ratio statistic was established and its limiting distribution was obtained under null hypothesis. Moreover, we further used this method for the modeling study between the dilution multiple and the optical density of the colored compound (OD value).

Key words: linear regression model, empirical likelihood, least square

中图分类号: 

  • O212.1