Two-variance regression analysis method

The two-variance regression model is put forward, on the basis of which the two-variance regression analysis method is established. Then the regression equation and confidence limit curves with high confidence level and high reliability are also given. The two-variance regression model involves totally correlated random variable and independent random variable which can be represented by correlated variance and independent variance, respectively. The presented method extends the regression analysis, which is mainly suitable to test data fluctuating around only one curve, to the test data fluctuating around several different curves that is very common in engineering. Compared with the group test method, the presented method not only has higher precision but also solves the problem of reliability assessment with very small sample.