Mplus model9 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！今天我们将学习如何使用Mplus软件进行中介、调节和调节中介模型分析。这份PPT是本教程的结构大纲。

首先，我们会讲解各种模型的理论模型，帮助大家理解这些模型背后的逻辑和概念。这部分会用清晰的图表和文字说明，让大家对中介、调节以及调节中介效应有更深入的理解。

接下来，我们会介绍相应的数学模型。我们会用简洁明了的数学公式来表达这些模型，让大家理解模型的具体计算过程。

为了让大家更透彻地理解这些模型，我们会进行数学推导。这部分会详细解释模型中各个参数的含义以及它们之间的关系，帮助大家掌握模型的精髓。

最后，我们会讲解Mplus软件的代码解读。我们会提供具体的Mplus代码示例，并逐行解释代码的含义，让大家能够轻松上手并进行自己的分析。

希望通过本教程，大家能够熟练掌握使用Mplus进行中介、调节和调节中介模型分析的方法。请大家跟着我们的讲解，一步步学习，相信你们很快就能掌握这些知识！

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 + a2W + a3Z + a4XW + a5XZ

数学公式3

Y = b0 + b1M + c'X
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ) + c'X

数学公式4

Y = b0 + b1M + c'X
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ) + c'X
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + c'X

数学公式5

Y = b0 + b1M + c'X
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ) + c'X
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + c'X
Y = (b0 + a0b1 + a2b1W + a3b1Z) + (a1b1 + a4b1W + a5b1Z + c')X

数学公式6

Y = b0 + b1M + c'X
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ) + c'X
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + c'X
Y = (b0 + a0b1 + a2b1W + a3b1Z) + (a1b1 + a4b1W + a5b1Z + c')X
X 对 Y 的间接效应（在 W，Z 的条件下）：(a1 + a4W + a5Z)b1

数学公式7

Y = b0 + b1M + c'X
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ) + c'X
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + c'X
Y = (b0 + a0b1 + a2b1W + a3b1Z) + (a1b1 + a4b1W + a5b1Z + c')X
X 对 Y 的间接效应（在 W，Z 的条件下）：(a1 + a4W + a5Z)b1
X 对 Y 的直接效应：c'

代码解读1

USEVARIABLES = X M W Z Y XW XZ;

代码解读2

USEVARIABLES = X M W Z Y XW XZ;
DEFINE:
 XW = X*W;
 XZ = X*Z;

代码解读3

USEVARIABLES = X M W Z Y XW XZ;
DEFINE:
 XW = X*W;
 XZ = X*Z;
ANALYSIS:
 TYPE = GENERAL;
 ESTIMATOR = ML;
 BOOTSTRAP = 10000;

代码解读4

USEVARIABLES = X M W Z Y XW XZ;
DEFINE:
 XW = X*W;
 XZ = X*Z;
ANALYSIS:
 TYPE = GENERAL;
 ESTIMATOR = ML;
 BOOTSTRAP = 10000;
MODEL:
 [Y] (b0);
 Y ON M (b1);
 Y ON X (cdash);
 [M] (a0);
 M ON X (a1);
 M ON W (a2);
 M ON Z (a3);
 M ON XW (a4);
 M ON XZ (a5);

代码解读5

USEVARIABLES = X M W Z Y XW XZ;
DEFINE:
 XW = X*W;
 XZ = X*Z;
ANALYSIS:
 TYPE = GENERAL;
 ESTIMATOR = ML;
 BOOTSTRAP = 10000;
MODEL:
 [Y] (b0);
 Y ON M (b1);
 Y ON X (cdash);
 [M] (a0);
 M ON X (a1);
 M ON W (a2);
 M ON Z (a3);
 M ON XW (a4);
 M ON XZ (a5);
MODEL CONSTRAINT:
 NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z ...);
 LOW_W = #LOWW;
 ...
 ILOW_LOZ = a1*b1 + a4*b1*LOW_W + a5*b1*LOW_Z;
 ...
 TLOW_LOZ = ILOW_LOZ + cdash;
 ...

代码解读6

USEVARIABLES = X M W Z Y XW XZ;
DEFINE:
 XW = X*W;
 XZ = X*Z;
ANALYSIS:
 TYPE = GENERAL;
 ESTIMATOR = ML;
 BOOTSTRAP = 10000;
MODEL:
 [Y] (b0);
 Y ON M (b1);
 Y ON X (cdash);
 [M] (a0);
 M ON X (a1);
 M ON W (a2);
 M ON Z (a3);
 M ON XW (a4);
 M ON XZ (a5);
MODEL CONSTRAINT:
 NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z ...);
 LOW_W = #LOWW;
 ...
 ILOW_LOZ = a1*b1 + a4*b1*LOW_W + a5*b1*LOW_Z;
 ...
 TLOW_LOZ = ILOW_LOZ + cdash;
 ...
PLOT(PLOW_LOZ PMEW_LOZ PHIW_LOZ ...);
 LOOP(XVAL,1,5,0.1);
 ...
 PLOT: TYPE = plot2;

代码解读7

USEVARIABLES = X M W Z Y XW XZ;
DEFINE:
 XW = X*W;
 XZ = X*Z;
ANALYSIS:
 TYPE = GENERAL;
 ESTIMATOR = ML;
 BOOTSTRAP = 10000;
MODEL:
 [Y] (b0);
 Y ON M (b1);
 Y ON X (cdash);
 [M] (a0);
 M ON X (a1);
 M ON W (a2);
 M ON Z (a3);
 M ON XW (a4);
 M ON XZ (a5);
MODEL CONSTRAINT:
 NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z ...);
 LOW_W = #LOWW;
 ...
 ILOW_LOZ = a1*b1 + a4*b1*LOW_W + a5*b1*LOW_Z;
 ...
 TLOW_LOZ = ILOW_LOZ + cdash;
 ...
PLOT(PLOW_LOZ PMEW_LOZ PHIW_LOZ ...);
 LOOP(XVAL,1,5,0.1);
 ...
 PLOT: TYPE = plot2;
OUTPUT:
 STAND CINT(bcbootstrap);

资源汇总

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