Mplus model3 模型讲解

来自图书《MPlus中介调节模型》

使用Mplus分析具有两个调节变量的调节中介模型

  • 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 + b1X + b2W + b3Z + b4XW + b5XZ + b6WZ + b7XWZ

数学公式2

Y = b0 + b1X + b2W + b3Z + b4XW + b5XZ + b6WZ + b7XWZ
Y = (b0 + b2W + b3Z + b6WZ) + (b1 + b4W + b5Z + b7WZ)X

数学公式3

Y = b0 + b1X + b2W + b3Z + b4XW + b5XZ + b6WZ + b7XWZ
Y = (b0 + b2W + b3Z + b6WZ) + (b1 + b4W + b5Z + b7WZ)X
X 对 Y 的直接效应（在 W 和 Z 条件下）：b1 + b4W + b5Z + b7WZ

代码解读1

USEVARIABLES = X W Y XW XZ WZ XWZ;

代码解读2

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

代码解读3

USEVARIABLES = X W Y XW XZ WZ XWZ;
DEFINE:
 XW = X*W;
 XZ = X*Z;
 WZ = W*Z;
 XWZ = X*W*Z;
ANALYSIS:
 TYPE = GENERAL;
 ESTIMATOR = ML;

代码解读4

USEVARIABLES = X W Y XW XZ WZ XWZ;
DEFINE:
 XW = X*W;
 XZ = X*Z;
 WZ = W*Z;
 XWZ = X*W*Z;
ANALYSIS:
 TYPE = GENERAL;
 ESTIMATOR = ML;
MODEL:
 [Y] (b0);
 Y ON X (b1);
 Y ON W (b2);
 Y ON Z (b3);
 Y ON XW (b4);
 Y ON XZ (b5);
 Y ON WZ (b6);
 Y ON XWZ (b7);

代码解读5

USEVARIABLES = X W Y XW XZ WZ XWZ;
DEFINE:
 XW = X*W;
 XZ = X*Z;
 WZ = W*Z;
 XWZ = X*W*Z;
ANALYSIS:
 TYPE = GENERAL;
 ESTIMATOR = ML;
MODEL:
 [Y] (b0);
 Y ON X (b1);
 Y ON W (b2);
 Y ON Z (b3);
 Y ON XW (b4);
 Y ON XZ (b5);
 Y ON WZ (b6);
 Y ON XWZ (b7);
MODEL CONSTRAINT:
 NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z LOW_LOZ MEW_LOZ HIW_LOZ LOW_MEZ MEW_MEZ HIW_MEZ LOW_HIZ MEW_HIZ HIW_HIZ);
 LOW_W = #LOWW;
 MED_W = #MEDW;
 HIGH_W = #HIGHW;
 LOW_Z = #LOWZ;
 MED_Z = #MEDZ;
 HIGH_Z = #HIGHZ;
 LOW_LOZ = b1 + b4*LOW_W + b5*LOW_Z + b7*LOW_W*LOW_Z;...
(其他类似)

代码解读6

USEVARIABLES = X W Y XW XZ WZ XWZ;
DEFINE:
 XW = X*W;
 XZ = X*Z;
 WZ = W*Z;
 XWZ = X*W*Z;
ANALYSIS:
 TYPE = GENERAL;
 ESTIMATOR = ML;
MODEL:
 [Y] (b0);
 Y ON X (b1);
 Y ON W (b2);
 Y ON Z (b3);
 Y ON XW (b4);
 Y ON XZ (b5);
 Y ON WZ (b6);
 Y ON XWZ (b7);
MODEL CONSTRAINT:
 NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z LOW_LOZ MEW_LOZ HIW_LOZ LOW_MEZ MEW_MEZ HIW_MEZ LOW_HIZ MEW_HIZ HIW_HIZ);
 LOW_W = #LOWW;
 MED_W = #MEDW;
 HIGH_W = #HIGHW;
 LOW_Z = #LOWZ;
 MED_Z = #MEDZ;
 HIGH_Z = #HIGHZ;
 LOW_LOZ = b1 + b4*LOW_W + b5*LOW_Z + b7*LOW_W*LOW_Z;...
(其他类似)
PLOT(PLOW_LOZ PMEW_LOZ PHIW_LOZ PLOW_MEZ PMEW_MEZ PHIW_MEZ PLOW_HIZ PMEW_HIZ PHIW_HIZ);
 LOOP(XVAL,1,5,0.1);
 PLOW_LOZ = (b0 + b2*LOW_W + b3*LOW_Z + b6*LOW_W*LOW_Z) + LOW_LOZ*XVAL;...
(其他类似)
PLOT: TYPE = plot2;

代码解读7

USEVARIABLES = X W Y XW XZ WZ XWZ;
DEFINE:
 XW = X*W;
 XZ = X*Z;
 WZ = W*Z;
 XWZ = X*W*Z;
ANALYSIS:
 TYPE = GENERAL;
 ESTIMATOR = ML;
MODEL:
 [Y] (b0);
 Y ON X (b1);
 Y ON W (b2);
 Y ON Z (b3);
 Y ON XW (b4);
 Y ON XZ (b5);
 Y ON WZ (b6);
 Y ON XWZ (b7);
MODEL CONSTRAINT:
 NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z LOW_LOZ MEW_LOZ HIW_LOZ LOW_MEZ MEW_MEZ HIW_MEZ LOW_HIZ MEW_HIZ HIW_HIZ);
 LOW_W = #LOWW;
 MED_W = #MEDW;
 HIGH_W = #HIGHW;
 LOW_Z = #LOWZ;
 MED_Z = #MEDZ;
 HIGH_Z = #HIGHZ;
 LOW_LOZ = b1 + b4*LOW_W + b5*LOW_Z + b7*LOW_W*LOW_Z;...
(其他类似)
PLOT(PLOW_LOZ PMEW_LOZ PHIW_LOZ PLOW_MEZ PMEW_MEZ PHIW_MEZ PLOW_HIZ PMEW_HIZ PHIW_HIZ);
 LOOP(XVAL,1,5,0.1);
 PLOW_LOZ = (b0 + b2*LOW_W + b3*LOW_Z + b6*LOW_W*LOW_Z) + LOW_LOZ*XVAL;...
(其他类似)
PLOT: TYPE = plot2;
OUTPUT: STAND CINT;

资源汇总

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