Mplus model4blatent 模型讲解

使用Mplus进行中介、调节和调节中介模型分析

理论模型
数学模型
数学推导
代码解读

大家好，欢迎来到本期教程。本教程将手把手教大家如何使用Mplus软件进行中介、调节和调节中介模型的分析。我们会以一个包含两个平行中介变量的潜变量模型为例，逐步讲解。首先，我们会介绍这个模型的理论基础，也就是理论模型部分，让大家理解模型背后的逻辑。然后，我们会用数学公式来表达这个模型，也就是数学模型部分，这部分会比较严谨，但不用担心，我们会尽量讲解清楚。接着，我们会对模型进行数学推导，重点讲解如何计算总效应、直接效应和间接效应，这就是数学推导部分。最后，也是最重要的部分，我们会提供Mplus的代码，并对代码进行详细解读，帮助大家理解每一行代码的含义，这就是代码解读部分。通过本教程，相信大家能够快速掌握使用Mplus分析复杂模型的方法，提高研究效率！

理论模型

数学模型

数学公式1

Y = b0 + b1M1 + b2M2 + c'X

数学公式2

Y = b0 + b1M1 + b2M2 + c'X
M1 = a01 + a1X
M2 = a02 + a2X

数学公式3

Y = b0 + b1M1 + b2M2 + c'X
M1 = a01 + a1X
M2 = a02 + a2X
Y = b0 + b1(a01 + a1X) + b2(a02 + a2X) + c'X

数学公式4

Y = b0 + b1M1 + b2M2 + c'X
M1 = a01 + a1X
M2 = a02 + a2X
Y = b0 + b1(a01 + a1X) + b2(a02 + a2X) + c'X
Y = b0 + a01b1 + a1b1X + a02b2 + a2b2X + c'X

数学公式5

Y = b0 + b1M1 + b2M2 + c'X
M1 = a01 + a1X
M2 = a02 + a2X
Y = b0 + b1(a01 + a1X) + b2(a02 + a2X) + c'X
Y = b0 + a01b1 + a1b1X + a02b2 + a2b2X + c'X
Y = (b0 + a01b1 + a02b2) + (a1b1 + a2b2 + c')X

数学公式6

Y = b0 + b1M1 + b2M2 + c'X
M1 = a01 + a1X
M2 = a02 + a2X
Y = b0 + b1(a01 + a1X) + b2(a02 + a2X) + c'X
Y = b0 + a01b1 + a1b1X + a02b2 + a2b2X + c'X
Y = (b0 + a01b1 + a02b2) + (a1b1 + a2b2 + c')X
间接效应: a1b1, a2b2
直接效应: c'

代码解读1

USEVARIABLES = X1 X2 X3 X4 M1_1 M1_2 M1_3 M1_4 M2_1 M2_2 M2_3 M2_4 Y1 Y2 Y3 Y4;

代码解读2

USEVARIABLES = X1 X2 X3 X4 M1_1 M1_2 M1_3 M1_4 M2_1 M2_2 M2_3 M2_4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;

代码解读3

USEVARIABLES = X1 X2 X3 X4 M1_1 M1_2 M1_3 M1_4 M2_1 M2_2 M2_3 M2_4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M1 BY M1_1 M1_2 M1_3 M1_4;
M2 BY M2_1 M2_2 M2_3 M2_4;
Y BY Y1 Y2 Y3 Y4;

代码解读4

USEVARIABLES = X1 X2 X3 X4 M1_1 M1_2 M1_3 M1_4 M2_1 M2_2 M2_3 M2_4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M1 BY M1_1 M1_2 M1_3 M1_4;
M2 BY M2_1 M2_2 M2_3 M2_4;
Y BY Y1 Y2 Y3 Y4;
[Y] (b0);

代码解读5

USEVARIABLES = X1 X2 X3 X4 M1_1 M1_2 M1_3 M1_4 M2_1 M2_2 M2_3 M2_4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M1 BY M1_1 M1_2 M1_3 M1_4;
M2 BY M2_1 M2_2 M2_3 M2_4;
Y BY Y1 Y2 Y3 Y4;
[Y] (b0);
Y ON M1 (b1);
Y ON M2 (b2);
Y ON X (cdash);

代码解读6

USEVARIABLES = X1 X2 X3 X4 M1_1 M1_2 M1_3 M1_4 M2_1 M2_2 M2_3 M2_4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M1 BY M1_1 M1_2 M1_3 M1_4;
M2 BY M2_1 M2_2 M2_3 M2_4;
Y BY Y1 Y2 Y3 Y4;
[Y] (b0);
Y ON M1 (b1);
Y ON M2 (b2);
Y ON X (cdash);
M1 ON X (a1);
M2 ON X (a2);

代码解读7

USEVARIABLES = X1 X2 X3 X4 M1_1 M1_2 M1_3 M1_4 M2_1 M2_2 M2_3 M2_4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M1 BY M1_1 M1_2 M1_3 M1_4;
M2 BY M2_1 M2_2 M2_3 M2_4;
Y BY Y1 Y2 Y3 Y4;
[Y] (b0);
Y ON M1 (b1);
Y ON M2 (b2);
Y ON X (cdash);
M1 ON X (a1);
M2 ON X (a2);
MODEL CONSTRAINT:
NEW(a1b1 a2b2 TOTALIND TOTAL);
a1b1 = a1*b1; 
a2b2 = a2*b2; 
TOTALIND = a1*b1 + a2*b2; 
TOTAL = a1*b1 + a2*b2 + cdash;

代码解读8

USEVARIABLES = X1 X2 X3 X4 M1_1 M1_2 M1_3 M1_4 M2_1 M2_2 M2_3 M2_4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M1 BY M1_1 M1_2 M1_3 M1_4;
M2 BY M2_1 M2_2 M2_3 M2_4;
Y BY Y1 Y2 Y3 Y4;
[Y] (b0);
Y ON M1 (b1);
Y ON M2 (b2);
Y ON X (cdash);
M1 ON X (a1);
M2 ON X (a2);
MODEL CONSTRAINT:
NEW(a1b1 a2b2 TOTALIND TOTAL);
a1b1 = a1*b1; 
a2b2 = a2*b2; 
TOTALIND = a1*b1 + a2*b2; 
TOTAL = a1*b1 + a2*b2 + cdash;
OUTPUT:
STAND CINT(bcbootstrap);

资源汇总

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