四川农业大学学报 ›› 1995, Vol. 13 ›› Issue (01): 12-17.doi: 10.16036/j.issn.1000-2650.1995.01.003

• 研究论文 • 上一篇    下一篇

随机区组设计二因素试验结果的二次回归分析法

明道绪, 黄玉碧   

  1. 四川农业大学数量遗传研究室, 雅安市 625014
  • 收稿日期:1994-05-04 出版日期:1995-03-31 发布日期:2017-04-22
  • 基金资助:
    国家自然科学基金

A QAUDRATIC REGRESSION ANALYSIS METHOD OF THE RESULTS OF RANDOMIZED BLOCK DESIGN WITH TWO EXPERIMENTAL FACTORS

Ming Daoxu, Huang Yubi   

  1. Qunatitative Genetics Institute, Sichuan Agricultural University, Yaan, Sichuan, China 625014
  • Received:1994-05-04 Online:1995-03-31 Published:2017-04-22
  • Supported by:
    This project is supported by National Natural Science Fundation.

摘要: 本文根据最小二乘原理提出随机区组设计二因素试验结果的二次回归分析法,包括建立试验指标与试验因素间的二元二次回归方程和显著性检验。此法开辟了分析因子试验结果的新途径,能从试验结果中提取新的重要信息,从而提高了因子试验结果的利用率,最后举例说明。

关键词: 最小二乘法, 回归分析, 随机区组设计, 显著性检验

Abstract: Based on the principle of least squares, this paper deals with the application of the quadratic regression analysis method to the analysis of the data of randomized block design with two experimental factors. The quadratic regression equation of the experimental target with two factors and tie test of significance are given. This approach indicates a new way to analyze the results of factor experiment. Owing to more useful information gained, this approach is by far more efficient in comparison with the analysis of an ordinary randomized block design. A numerical illustration is given.

Key words: LEAST SQUARES METHODS, REGRESSION ANALYSIS, RANDOMIZED BLOCK DESIGN, SIGNIFICANCE TEST

中图分类号: 

  • 0241.2