探讨两条样本回归线合并的条件

Research on Coincidental Condition of Two Sample Regression Lines

本文进一步探讨了两条样本回归线合并的条件,提出除文献给出的条件外,满足①β_1≠0,β_2≠0;②β_1=β_2;③求出具有公共的总体斜率估计值之后,α_1=α_2。两条样本回归线也可合并。

This paper makes a further research of the coincidental condition of two sample regression lines and proposed that it must be suited for the fallowing: ①β_1(?)0, β_2(?)0; ②β_1=β_2; ③after getting the common population slope estimate value, α_1=α_2. The two sample regression lines can be coincided too.