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