使用指示变量进行两直线回归方程比较

The Comparison of Two Linear Regression Equations With the Indicator Variable

在进行两直线回归方程比较时,要考虑两个基本问题:①两直线回归方程的斜率是否相同;②两直线回归方程高度差别是否有显著性。我们可以使用指示变量回归 =b_0+b_1X+b_2Z+b_3XZ解决上述问题。式中X是协变量,Z是指示变量。Ho:β3=0和H_0

There are two basic questions to consider when making a comparison of two linear reg- ression equations. They are, 1. Are the two slopes the same or different 2. Are the two linear elevations same or different we can use the indicator variable regression to solve above questions (?)=b_0 +b_1 X+b_2 Z+b_3 XZ where X is referred to as the covariate and Z is a indicator variable. The partial F test of H_0:β_3=0 answers the first question of whether is a significant difference between the slopes and the partial F test of H_0:β_2:=0 answers the second.