Mplus model4a 模型讲解

来自图书《MPlus中介调节模型》

使用Mplus进行中介效应分析：基础中介模型(Model 4a)

  • 理论模型
  • 数学模型
  • 数学推导
  • 代码解读

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

数学公式7

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 = X M Y;

代码解读2

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

代码解读3

USEVARIABLES = X M Y;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
Y ON M (b1);
Y ON X (cdash);
M ON X (a1);

代码解读4

USEVARIABLES = X M Y;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
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5

USEVARIABLES = X M Y;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
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);

代码解读6

USEVARIABLES = X M Y;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
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);
USEVARIABLES = X M Y;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
Y ON X M;
M ON X;
MODEL INDIRECT:
Y IND X;
OUTPUT:
STAND CINT(bcbootstrap);

资源汇总

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