航空学报 > 1994, Vol. 15 Issue (3): 295-302

线性异方差回归分析

傅惠民   

  1. 北京航空航天大学固体力学所,北京,100083
  • 收稿日期:1993-06-20 修回日期:1993-12-20 出版日期:1994-03-25 发布日期:1994-03-25

LINEAR VARIANCE REGRESSION ANALYSIS

Fu Huimin   

  1. Institute of Solid Mechanics, Beuing University of Aeronautics and Astronautics,Beijing 100083
  • Received:1993-06-20 Revised:1993-12-20 Online:1994-03-25 Published:1994-03-25

摘要: 提出了线性异方差回归分析方法,从而可以通过散点试验测定高置信度、高可靠度的性能曲线。该方法不但适用于线性异方差情况,而且文中还将其推广到了一般异方差情况。与传统的成组试验法相比,该方法既可节省大量试件,又具有更高的精度。

关键词: 回归分析, 可靠性分析, 置信限

Abstract: The relationships between standard deviations or variances of dependent variables and a certain function of independent variables are mostly linear in engineering.The constant va- riance regression analysis is not applicable to this case. Therefore a method of linear variance regression analysis is presented.Statistical design of experiments and analysis of results can satis- factorily be done,and population pereentiles and percentages can be forecasted, controlled and tested by the method.The confidence limits of population percentiles and pereentages obtained by it are closer to the percentiles and percentages than those by other methods,and fewer speci- mens are required.

Key words: regression analysis, reliability analysis, confidence limits

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