HLM产出的robust standard error的回归方程中交互项M*X显著(p=0.018),我按照正常的simple slope test的方法去检验,发现simple slope不显著(调节变量是M,二次变量,M=0的时候斜率p=0.108, M=1的时候斜率p=0.080),这是为什么呢?(HLM产出的另外一个OLS回归方程,这个交互项p=0.095)
下面是我得到的两个结果:主要关注的是M*X
Final estimation of fixed effects
(with robust standard errors)
Fixed Effect Coefficient Standard
error t-ratio Approx.
d.f. p-value
For INTRCPT1, ψ0
INTRCPT2, γ00 6.306253 1.074711 5.868 58 <0.001
M, γ01 -1.790019 1.368037 -1.308 58 0.196
C, γ02 0.002059 0.171953 0.012 58 0.990
X, γ03 0.000198 0.000111 1.785 58 0.080
M*X, γ04 -0.000412 0.000169 -2.440 58 0.018
For X2 slope, ψ1
INTRCPT2, γ10 0.256143 0.045523 5.627 58 <0.001
M, γ11 -0.092673 0.060518 -1.531 58 0.131
C, γ12 0.000920 0.006846 0.134 58 0.894
X, γ13 0.000009 0.000003 2.556 58 0.013
M*X, γ14 -0.000012 0.000007 -1.600 58 0.115
Final estimation of fixed effects:
Fixed Effect Coefficient Standard
error t-ratio Approx.
d.f. p-value
For INTRCPT1, ψ0
INTRCPT2, γ00 6.306253 0.988492 6.380 58 <0.001
M, γ01 -1.790019 1.435987 -1.247 58 0.218
C, γ02 0.002059 0.152378 0.014 58 0.989
X, γ03 0.000198 0.000113 1.757 58 0.084
M*X, γ04 -0.000412 0.000243 -1.698 58 0.095
For X2 slope, ψ1
INTRCPT2, γ10 0.256143 0.042968 5.961 58 <0.001
M, γ11 -0.092673 0.062420 -1.485 58 0.143
C, γ12 0.000920 0.006624 0.139 58 0.890
X, γ13 0.000009 0.000005 1.817 58 0.074
M*X, γ14 -0.000012 0.000011 -1.118 58 0.268