Mplus model6 模型讲解

使用Mplus分析复杂中介调节模型：模型6详解

理论模型
数学模型
数学推导
代码解读

大家好，欢迎来到本教程。今天我们将学习如何使用Mplus软件分析复杂的调节中介模型，具体来说是Hayes PROCESS宏中模型6，也就是包含两个串联中介变量的模型。这个PPT页面概述了本教程的结构。首先，我们会讲解模型的理论基础，也就是这个模型在实际应用中代表什么含义，以及它适用于什么样的研究问题。接下来，我们会介绍模型的数学表示方法，包括各个变量之间的关系以及模型的参数。然后，我们会详细推导模型中间接效应的计算过程，帮助大家理解Mplus代码背后的逻辑。最后，我们会对Mplus代码进行逐行解读，让大家能够轻松上手，并根据自己的研究需要修改和应用。希望通过本教程，大家能够快速掌握使用Mplus分析复杂模型的方法。

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 + d1M1

数学公式3

Y = b0 + b1M1 + b2M2 + c'X
M1 = a01 + a1X
M2 = a02 + a2X + d1M1
Y = b0 + b1(a01 + a1X) + b2(a02 + a2X + d1(a01 + a1X)) + c'X

数学公式4

Y = b0 + b1M1 + b2M2 + c'X
M1 = a01 + a1X
M2 = a02 + a2X + d1M1
Y = b0 + b1(a01 + a1X) + b2(a02 + a2X + d1(a01 + a1X)) + c'X
Y = b0 + a01b1 + a1b1X + a02b2 + a2b2X + a01d1b2 + a1d1b2X + c'X

数学公式5

Y = b0 + b1M1 + b2M2 + c'X
M1 = a01 + a1X
M2 = a02 + a2X + d1M1
Y = b0 + b1(a01 + a1X) + b2(a02 + a2X + d1(a01 + a1X)) + c'X
Y = b0 + a01b1 + a1b1X + a02b2 + a2b2X + a01d1b2 + a1d1b2X + c'X
Y = (b0 + a01b1 + a02b2 + a01d1b2) + (a1b1 + a2b2 + a1d1b2 + c')X

数学公式6

Y = b0 + b1M1 + b2M2 + c'X
M1 = a01 + a1X
M2 = a02 + a2X + d1M1
Y = b0 + b1(a01 + a1X) + b2(a02 + a2X + d1(a01 + a1X)) + c'X
Y = b0 + a01b1 + a1b1X + a02b2 + a2b2X + a01d1b2 + a1d1b2X + c'X
Y = (b0 + a01b1 + a02b2 + a01d1b2) + (a1b1 + a2b2 + a1d1b2 + c')X
间接效应: a1b1, a2b2, a1d1b2
直接效应: c'

代码解读1

USEVARIABLES = X M1 M2 Y;

代码解读2

USEVARIABLES = X M1 M2 Y;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;

代码解读3

USEVARIABLES = X M1 M2 Y;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
Y ON M1 (b1);
Y ON M2 (b2);
Y ON X (cdash);
M1 ON X (a1);
M2 ON X (a2);
M2 ON M1 (d1);

代码解读4

USEVARIABLES = X M1 M2 Y;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
Y ON M1 (b1);
Y ON M2 (b2);
Y ON X (cdash);
M1 ON X (a1);
M2 ON X (a2);
M2 ON M1 (d1);
MODEL CONSTRAINT:
NEW(a1b1 a2b2 a1d1b2 TOTALIND TOTAL);
a1b1 = a1*b1;
a2b2 = a2*b2;
a1d1b2 = a1*d1*b2;
TOTALIND = a1*b1 + a2*b2 + a1*d1*b2;
TOTAL = a1*b1 + a2*b2 + a1*d1*b2 + cdash;

代码解读5

USEVARIABLES = X M1 M2 Y;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
Y ON M1 (b1);
Y ON M2 (b2);
Y ON X (cdash);
M1 ON X (a1);
M2 ON X (a2);
M2 ON M1 (d1);
MODEL CONSTRAINT:
NEW(a1b1 a2b2 a1d1b2 TOTALIND TOTAL);
a1b1 = a1*b1;
a2b2 = a2*b2;
a1d1b2 = a1*d1*b2;
TOTALIND = a1*b1 + a2*b2 + a1*d1*b2;
TOTAL = a1*b1 + a2*b2 + a1*d1*b2 + cdash;
OUTPUT:
STAND CINT(bcbootstrap);

资源汇总

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