Mplus model4alatent 模型讲解

使用Mplus进行中介效应分析：代码示例与解读

理论模型
数学模型
数学推导
代码解读

大家好，欢迎来到本节教程。本节课我们将学习如何使用Mplus软件进行中介效应分析。首先，我们会介绍中介模型的理论基础，包括变量之间的关系以及中介效应的定义。然后，我们会建立相应的数学模型，用公式来表达变量之间的关系，并明确我们要估计的参数。接下来，我们会对模型进行数学推导，解释如何计算直接效应、间接效应以及总效应，并介绍两种在Mplus中计算间接效应的方法。最后，我们会结合具体的Mplus代码，详细解读代码的每一个部分，帮助大家理解如何将理论模型转化为实际操作。通过本节课的学习，大家将能够掌握使用Mplus进行中介效应分析的核心方法，并能将这些知识应用到自己的研究中。

理论模型

数学模型

数学公式1

Y = b0 + b1M + c'X

数学公式2

Y = b0 + b1M + c'X
M = a0 + a1X

数学公式3

Y = b0 + b1M + c'X
M = a0 + a1X
Y = b0 + b1(a0 + a1X) + c'X

数学公式4

Y = b0 + b1M + c'X
M = a0 + a1X
Y = b0 + b1(a0 + a1X) + c'X
Y = b0 + a0b1 + a1b1X + c'X

数学公式5

Y = b0 + b1M + c'X
M = a0 + a1X
Y = b0 + b1(a0 + a1X) + c'X
Y = b0 + a0b1 + a1b1X + c'X
Y = (b0 + a0b1) + (a1b1 + c')X

数学公式6

Y = b0 + b1M + c'X
M = a0 + a1X
Y = b0 + b1(a0 + a1X) + c'X
Y = b0 + a0b1 + a1b1X + c'X
Y = (b0 + a0b1) + (a1b1 + c')X
间接效应：a1b1
直接效应：c'

代码解读1

USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 Y1 Y2 Y3 Y4;

代码解读2

USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;

代码解读3

USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
Y BY Y1 Y2 Y3 Y4;

代码解读4

USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
Y BY Y1 Y2 Y3 Y4;
[Y] (b0);

代码解读5

USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
Y BY Y1 Y2 Y3 Y4;
[Y] (b0);
Y ON M (b1);

代码解读6

USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
Y BY Y1 Y2 Y3 Y4;
[Y] (b0);
Y ON M (b1);
Y ON X (cdash);

代码解读7

USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
Y BY Y1 Y2 Y3 Y4;
[Y] (b0);
Y ON M (b1);
Y ON X (cdash);
M ON X (a1);

代码解读8

USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
Y BY Y1 Y2 Y3 Y4;
[Y] (b0);
Y ON M (b1);
Y ON X (cdash);
M ON X (a1);
MODEL CONSTRAINT:
NEW(a1b1 TOTAL);
a1b1 = a1*b1;
TOTAL = a1*b1 + cdash;

代码解读9

USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
Y BY Y1 Y2 Y3 Y4;
[Y] (b0);
Y ON M (b1);
Y ON X (cdash);
M ON X (a1);
MODEL CONSTRAINT:
NEW(a1b1 TOTAL);
a1b1 = a1*b1;
TOTAL = a1*b1 + cdash;
OUTPUT:
STAND CINT(bcbootstrap);

资源汇总

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