线性异方差回归分析

LINEAR VARIANCE REGRESSION ANALYSIS

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。

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.