Mplus model76 模型讲解
来自图书《MPlus中介调节模型》
Mplus 中介调节模型教程：构建与分析复杂模型
- 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
数学公式2
数学公式3
模型方程:
Y = b0 + b1M + b2MW + b3MZ + c1'X + c2'W + c3'Z + c4'XW + c5'XZ
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ
代入 M 的方程:
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ) + b2(a0 + a1X + a2W + a3Z + a4XW + a5XZ)W + b3(a0 + a1X + a2W + a3Z + a4XW + a5XZ)Z + c1'X + c2'W + c3'Z + c4'XW + c5'XZ
展开括号:
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + a0b2W + a1b2XW + a2b2WW + a3b2ZW + a4b2XWW + a5b2XZW + a0b3Z + a1b3XZ + a2b3WZ + a3b3ZZ + a4b3XWZ + a5b3XZZ + c1'X + c2'W + c3'Z + c4'XW + c5'XZ数学公式4
模型方程:
Y = b0 + b1M + b2MW + b3MZ + c1'X + c2'W + c3'Z + c4'XW + c5'XZ
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ
代入 M 的方程:
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ) + b2(a0 + a1X + a2W + a3Z + a4XW + a5XZ)W + b3(a0 + a1X + a2W + a3Z + a4XW + a5XZ)Z + c1'X + c2'W + c3'Z + c4'XW + c5'XZ
展开括号:
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + a0b2W + a1b2XW + a2b2WW + a3b2ZW + a4b2XWW + a5b2XZW + a0b3Z + a1b3XZ + a2b3WZ + a3b3ZZ + a4b3XWZ + a5b3XZZ + c1'X + c2'W + c3'Z + c4'XW + c5'XZ
整理为 Y = a + bX 的形式:
Y = (b0 + a0b1 + a2b1W + a3b1Z + a0b2W + a2b2WW + a3b2ZW + a0b3Z + a2b3WZ + a3b3ZZ + c2'W + c3'Z) + (a1b1 + a4b1W + a5b1Z + a1b2W + a4b2WW + a5b2ZW + a1b3Z + a4b3WZ + a5b3ZZ + c1' + c4'W + c5'Z)X数学公式5
模型方程:
Y = b0 + b1M + b2MW + b3MZ + c1'X + c2'W + c3'Z + c4'XW + c5'XZ
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ
代入 M 的方程:
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ) + b2(a0 + a1X + a2W + a3Z + a4XW + a5XZ)W + b3(a0 + a1X + a2W + a3Z + a4XW + a5XZ)Z + c1'X + c2'W + c3'Z + c4'XW + c5'XZ
展开括号:
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + a0b2W + a1b2XW + a2b2WW + a3b2ZW + a4b2XWW + a5b2XZW + a0b3Z + a1b3XZ + a2b3WZ + a3b3ZZ + a4b3XWZ + a5b3XZZ + c1'X + c2'W + c3'Z + c4'XW + c5'XZ
整理为 Y = a + bX 的形式:
Y = (b0 + a0b1 + a2b1W + a3b1Z + a0b2W + a2b2WW + a3b2ZW + a0b3Z + a2b3WZ + a3b3ZZ + c2'W + c3'Z) + (a1b1 + a4b1W + a5b1Z + a1b2W + a4b2WW + a5b2ZW + a1b3Z + a4b3WZ + a5b3ZZ + c1' + c4'W + c5'Z)X
间接效应和直接效应:
条件间接效应: (a1 + a4W + a5Z)(b1 + b2W + b3Z)
条件直接效应: c1' + c4'W + c5'Z代码解读1
代码解读2
代码解读3
代码解读4
USEVARIABLES = X M W Z Y XW XZ MW MZ;
! Create interaction terms
DEFINE:
MW = M*W;
MZ = M*Z;
XW = X*W;
XZ = X*Z;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
[Y] (b0);
Y ON M (b1);
Y ON MW (b2);
Y ON MZ (b3);
Y ON X(cdash1);
Y ON W (cdash2);
Y ON Z (cdash3);
Y ON XW (cdash4);
Y ON XZ (cdash5);
[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 MW MZ;
! Create interaction terms
DEFINE:
MW = M*W;
MZ = M*Z;
XW = X*W;
XZ = X*Z;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
[Y] (b0);
Y ON M (b1);
Y ON MW (b2);
Y ON MZ (b3);
Y ON X(cdash1);
Y ON W (cdash2);
Y ON Z (cdash3);
Y ON XW (cdash4);
Y ON XZ (cdash5);
[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
ILOW_LOZ IMEW_LOZ IHIW_LOZ ILOW_MEZ IMEW_MEZ IHIW_MEZ
ILOW_HIZ IMEW_HIZ IHIW_HIZ
DLOW_LOZ DMEW_LOZ DHIW_LOZ DLOW_MEZ DMEW_MEZ DHIW_MEZ
DLOW_HIZ DMEW_HIZ DHIW_HIZ
TLOW_LOZ TMEW_LOZ THIW_LOZ TLOW_MEZ TMEW_MEZ THIW_MEZ
TLOW_HIZ TMEW_HIZ THIW_HIZ);
LOW_W = #LOWW;
! replace #LOWW in the code with your chosen low value of W
MED_W = #MEDW;
! replace #MEDW in the code with your chosen medium value of W
HIGH_W = #HIGHW;
! replace #HIGHW in the code with your chosen high value of W
LOW_Z = #LOWZ;
! replace #LOWZ in the code with your chosen low value of Z
MED_Z = #MEDZ;
! replace #MEDZ in the code with your chosen medium value of Z
HIGH_Z = #HIGHZ;
! replace #HIGHZ in the code with your chosen high value of Z
! Calc conditional indirect effects for each combination of moderator values
ILOW_LOZ = a1*b1 + a4*b1*LOW_W + a5*b1*LOW_Z + a1*b2*LOW_W +
a4*b2*LOW_W*LOW_W + a5*b2*LOW_Z*LOW_W + a1*b3*LOW_Z +
a4*b3*LOW_W*LOW_Z + a5*b3*LOW_Z*LOW_Z;
IMEW_LOZ = a1*b1 + a4*b1*MED_W + a5*b1*LOW_Z + a1*b2*MED_W +
a4*b2*MED_W*MED_W + a5*b2*LOW_Z*MED_W + a1*b3*LOW_Z +
a4*b3*MED_W*LOW_Z + a5*b3*LOW_Z*LOW_Z;
IHIW_LOZ = a1*b1 + a4*b1*HIGH_W + a5*b1*LOW_Z + a1*b2*HIGH_W +
a4*b2*HIGH_W*HIGH_W + a5*b2*LOW_Z*HIGH_W + a1*b3*LOW_Z +
a4*b3*HIGH_W*LOW_Z + a5*b3*LOW_Z*LOW_Z;
ILOW_MEZ = a1*b1 + a4*b1*LOW_W + a5*b1*MED_Z + a1*b2*LOW_W +
a4*b2*LOW_W*LOW_W + a5*b2*MED_Z*LOW_W + a1*b3*MED_Z +
a4*b3*LOW_W*MED_Z + a5*b3*MED_Z*MED_Z;
IMEW_MEZ = a1*b1 + a4*b1*MED_W + a5*b1*MED_Z + a1*b2*MED_W +
a4*b2*MED_W*MED_W + a5*b2*MED_Z*MED_W + a1*b3*MED_Z +
a4*b3*MED_W*MED_Z + a5*b3*MED_Z*MED_Z;
IHIW_MEZ = a1*b1 + a4*b1*HIGH_W + a5*b1*MED_Z + a1*b2*HIGH_W +
a4*b2*HIGH_W*HIGH_W + a5*b2*MED_Z*HIGH_W + a1*b3*MED_Z +
a4*b3*HIGH_W*MED_Z + a5*b3*MED_Z*MED_Z;
ILOW_HIZ = a1*b1 + a4*b1*LOW_W + a5*b1*HIGH_Z + a1*b2*LOW_W +
a4*b2*LOW_W*LOW_W + a5*b2*HIGH_Z*LOW_W + a1*b3*HIGH_Z +
a4*b3*LOW_W*HIGH_Z + a5*b3*HIGH_Z*HIGH_Z;
IMEW_HIZ = a1*b1 + a4*b1*MED_W + a5*b1*HIGH_Z + a1*b2*MED_W +
a4*b2*MED_W*MED_W + a5*b2*HIGH_Z*MED_W + a1*b3*HIGH_Z +
a4*b3*MED_W*HIGH_Z + a5*b3*HIGH_Z*HIGH_Z;
IHIW_HIZ = a1*b1 + a4*b1*HIGH_W + a5*b1*HIGH_Z + a1*b2*HIGH_W +
a4*b2*HIGH_W*HIGH_W + a5*b2*HIGH_Z*HIGH_W + a1*b3*HIGH_Z +
a4*b3*HIGH_W*HIGH_Z + a5*b3*HIGH_Z*HIGH_Z;
! Calc conditional direct effects for each combination of moderator values
DLOW_LOZ = cdash1 + cdash4*LOW_W + cdash5*LOW_Z;
DMEW_LOZ = cdash1 + cdash4*MED_W + cdash5*LOW_Z;
DHIW_LOZ = cdash1 + cdash4*HIGH_W + cdash5*LOW_Z;
DLOW_MEZ = cdash1 + cdash4*LOW_W + cdash5*MED_Z;
DMEW_MEZ = cdash1 + cdash4*MED_W + cdash5*MED_Z;
DHIW_MEZ = cdash1 + cdash4*HIGH_W + cdash5*MED_Z;
DLOW_HIZ = cdash1 + cdash4*LOW_W + cdash5*HIGH_Z;
DMEW_HIZ = cdash1 + cdash4*MED_W + cdash5*HIGH_Z;
DHIW_HIZ = cdash1 + cdash4*HIGH_W + cdash5*HIGH_Z;
! Calc conditional total effects for each combination of moderator values
TLOW_LOZ = ILOW_LOZ + DLOW_LOZ;
TMEW_LOZ = IMEW_LOZ + DMEW_LOZ;
THIW_LOZ = IHIW_LOZ + DHIW_LOZ;
TLOW_MEZ = ILOW_MEZ + DLOW_MEZ;
TMEW_MEZ = IMEW_MEZ + DMEW_MEZ;
THIW_MEZ = IHIW_MEZ + DHIW_MEZ;
TLOW_HIZ = ILOW_HIZ + DLOW_HIZ;
TMEW_HIZ = IMEW_HIZ + DMEW_HIZ;
THIW_HIZ = IHIW_HIZ + DHIW_HIZ;代码解读6
USEVARIABLES = X M W Z Y XW XZ MW MZ;
! Create interaction terms
DEFINE:
MW = M*W;
MZ = M*Z;
XW = X*W;
XZ = X*Z;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
[Y] (b0);
Y ON M (b1);
Y ON MW (b2);
Y ON MZ (b3);
Y ON X(cdash1);
Y ON W (cdash2);
Y ON Z (cdash3);
Y ON XW (cdash4);
Y ON XZ (cdash5);
[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
ILOW_LOZ IMEW_LOZ IHIW_LOZ ILOW_MEZ IMEW_MEZ IHIW_MEZ
ILOW_HIZ IMEW_HIZ IHIW_HIZ
DLOW_LOZ DMEW_LOZ DHIW_LOZ DLOW_MEZ DMEW_MEZ DHIW_MEZ
DLOW_HIZ DMEW_HIZ DHIW_HIZ
TLOW_LOZ TMEW_LOZ THIW_LOZ TLOW_MEZ TMEW_MEZ THIW_MEZ
TLOW_HIZ TMEW_HIZ THIW_HIZ);
LOW_W = #LOWW;
! replace #LOWW in the code with your chosen low value of W
MED_W = #MEDW;
! replace #MEDW in the code with your chosen medium value of W
HIGH_W = #HIGHW;
! replace #HIGHW in the code with your chosen high value of W
LOW_Z = #LOWZ;
! replace #LOWZ in the code with your chosen low value of Z
MED_Z = #MEDZ;
! replace #MEDZ in the code with your chosen medium value of Z
HIGH_Z = #HIGHZ;
! replace #HIGHZ in the code with your chosen high value of Z
! Calc conditional indirect effects for each combination of moderator values
ILOW_LOZ = a1*b1 + a4*b1*LOW_W + a5*b1*LOW_Z + a1*b2*LOW_W +
a4*b2*LOW_W*LOW_W + a5*b2*LOW_Z*LOW_W + a1*b3*LOW_Z +
a4*b3*LOW_W*LOW_Z + a5*b3*LOW_Z*LOW_Z;
IMEW_LOZ = a1*b1 + a4*b1*MED_W + a5*b1*LOW_Z + a1*b2*MED_W +
a4*b2*MED_W*MED_W + a5*b2*LOW_Z*MED_W + a1*b3*LOW_Z +
a4*b3*MED_W*LOW_Z + a5*b3*LOW_Z*LOW_Z;
IHIW_LOZ = a1*b1 + a4*b1*HIGH_W + a5*b1*LOW_Z + a1*b2*HIGH_W +
a4*b2*HIGH_W*HIGH_W + a5*b2*LOW_Z*HIGH_W + a1*b3*LOW_Z +
a4*b3*HIGH_W*LOW_Z + a5*b3*LOW_Z*LOW_Z;
ILOW_MEZ = a1*b1 + a4*b1*LOW_W + a5*b1*MED_Z + a1*b2*LOW_W +
a4*b2*LOW_W*LOW_W + a5*b2*MED_Z*LOW_W + a1*b3*MED_Z +
a4*b3*LOW_W*MED_Z + a5*b3*MED_Z*MED_Z;
IMEW_MEZ = a1*b1 + a4*b1*MED_W + a5*b1*MED_Z + a1*b2*MED_W +
a4*b2*MED_W*MED_W + a5*b2*MED_Z*MED_W + a1*b3*MED_Z +
a4*b3*MED_W*MED_Z + a5*b3*MED_Z*MED_Z;
IHIW_MEZ = a1*b1 + a4*b1*HIGH_W + a5*b1*MED_Z + a1*b2*HIGH_W +
a4*b2*HIGH_W*HIGH_W + a5*b2*MED_Z*HIGH_W + a1*b3*MED_Z +
a4*b3*HIGH_W*MED_Z + a5*b3*MED_Z*MED_Z;
ILOW_HIZ = a1*b1 + a4*b1*LOW_W + a5*b1*HIGH_Z + a1*b2*LOW_W +
a4*b2*LOW_W*LOW_W + a5*b2*HIGH_Z*LOW_W + a1*b3*HIGH_Z +
a4*b3*LOW_W*HIGH_Z + a5*b3*HIGH_Z*HIGH_Z;
IMEW_HIZ = a1*b1 + a4*b1*MED_W + a5*b1*HIGH_Z + a1*b2*MED_W +
a4*b2*MED_W*MED_W + a5*b2*HIGH_Z*MED_W + a1*b3*HIGH_Z +
a4*b3*MED_W*HIGH_Z + a5*b3*HIGH_Z*HIGH_Z;
IHIW_HIZ = a1*b1 + a4*b1*HIGH_W + a5*b1*HIGH_Z + a1*b2*HIGH_W +
a4*b2*HIGH_W*HIGH_W + a5*b2*HIGH_Z*HIGH_W + a1*b3*HIGH_Z +
a4*b3*HIGH_W*HIGH_Z + a5*b3*HIGH_Z*HIGH_Z;
! Calc conditional direct effects for each combination of moderator values
DLOW_LOZ = cdash1 + cdash4*LOW_W + cdash5*LOW_Z;
DMEW_LOZ = cdash1 + cdash4*MED_W + cdash5*LOW_Z;
DHIW_LOZ = cdash1 + cdash4*HIGH_W + cdash5*LOW_Z;
DLOW_MEZ = cdash1 + cdash4*LOW_W + cdash5*MED_Z;
DMEW_MEZ = cdash1 + cdash4*MED_W + cdash5*MED_Z;
DHIW_MEZ = cdash1 + cdash4*HIGH_W + cdash5*MED_Z;
DLOW_HIZ = cdash1 + cdash4*LOW_W + cdash5*HIGH_Z;
DMEW_HIZ = cdash1 + cdash4*MED_W + cdash5*HIGH_Z;
DHIW_HIZ = cdash1 + cdash4*HIGH_W + cdash5*HIGH_Z;
! Calc conditional total effects for each combination of moderator values
TLOW_LOZ = ILOW_LOZ + DLOW_LOZ;
TMEW_LOZ = IMEW_LOZ + DMEW_LOZ;
THIW_LOZ = IHIW_LOZ + DHIW_LOZ;
TLOW_MEZ = ILOW_MEZ + DLOW_MEZ;
TMEW_MEZ = IMEW_MEZ + DMEW_MEZ;
THIW_MEZ = IHIW_MEZ + DHIW_MEZ;
TLOW_HIZ = ILOW_HIZ + DLOW_HIZ;
TMEW_HIZ = IMEW_HIZ + DMEW_HIZ;
THIW_HIZ = IHIW_HIZ + DHIW_HIZ;
! Use loop plot to plot conditional indirect effect of X on Y for each combination of low, med, high moderator values
! Could be edited to show conditional direct or conditional total effects instead
! NOTE - values of 1,5 in LOOP() statement need to be replaced by
! logical min and max limits of predictor X used in analysis
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 = ILOW_LOZ*XVAL;
PMEW_LOZ = IMEW_LOZ*XVAL;
PHIW_LOZ = IHIW_LOZ*XVAL;
PLOW_MEZ = ILOW_MEZ*XVAL;
PMEW_MEZ = IMEW_MEZ*XVAL;
PHIW_MEZ = IHIW_MEZ*XVAL;
PLOW_HIZ = ILOW_HIZ*XVAL;
PMEW_HIZ = IMEW_HIZ*XVAL;
PHIW_HIZ = IHIW_HIZ*XVAL;代码解读7
USEVARIABLES = X M W Z Y XW XZ MW MZ;
! Create interaction terms
DEFINE:
MW = M*W;
MZ = M*Z;
XW = X*W;
XZ = X*Z;
ANALYSIS:
TYPE = GENERAL;
ESTIMATOR = ML;
BOOTSTRAP = 10000;
MODEL:
[Y] (b0);
Y ON M (b1);
Y ON MW (b2);
Y ON MZ (b3);
Y ON X(cdash1);
Y ON W (cdash2);
Y ON Z (cdash3);
Y ON XW (cdash4);
Y ON XZ (cdash5);
[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
ILOW_LOZ IMEW_LOZ IHIW_LOZ ILOW_MEZ IMEW_MEZ IHIW_MEZ
ILOW_HIZ IMEW_HIZ IHIW_HIZ
DLOW_LOZ DMEW_LOZ DHIW_LOZ DLOW_MEZ DMEW_MEZ DHIW_MEZ
DLOW_HIZ DMEW_HIZ DHIW_HIZ
TLOW_LOZ TMEW_LOZ THIW_LOZ TLOW_MEZ TMEW_MEZ THIW_MEZ
TLOW_HIZ TMEW_HIZ THIW_HIZ);
LOW_W = #LOWW;
! replace #LOWW in the code with your chosen low value of W
MED_W = #MEDW;
! replace #MEDW in the code with your chosen medium value of W
HIGH_W = #HIGHW;
! replace #HIGHW in the code with your chosen high value of W
LOW_Z = #LOWZ;
! replace #LOWZ in the code with your chosen low value of Z
MED_Z = #MEDZ;
! replace #MEDZ in the code with your chosen medium value of Z
HIGH_Z = #HIGHZ;
! replace #HIGHZ in the code with your chosen high value of Z
! Calc conditional indirect effects for each combination of moderator values
ILOW_LOZ = a1*b1 + a4*b1*LOW_W + a5*b1*LOW_Z + a1*b2*LOW_W +
a4*b2*LOW_W*LOW_W + a5*b2*LOW_Z*LOW_W + a1*b3*LOW_Z +
a4*b3*LOW_W*LOW_Z + a5*b3*LOW_Z*LOW_Z;
IMEW_LOZ = a1*b1 + a4*b1*MED_W + a5*b1*LOW_Z + a1*b2*MED_W +
a4*b2*MED_W*MED_W + a5*b2*LOW_Z*MED_W + a1*b3*LOW_Z +
a4*b3*MED_W*LOW_Z + a5*b3*LOW_Z*LOW_Z;
IHIW_LOZ = a1*b1 + a4*b1*HIGH_W + a5*b1*LOW_Z + a1*b2*HIGH_W +
a4*b2*HIGH_W*HIGH_W + a5*b2*LOW_Z*HIGH_W + a1*b3*LOW_Z +
a4*b3*HIGH_W*LOW_Z + a5*b3*LOW_Z*LOW_Z;
ILOW_MEZ = a1*b1 + a4*b1*LOW_W + a5*b1*MED_Z + a1*b2*LOW_W +
a4*b2*LOW_W*LOW_W + a5*b2*MED_Z*LOW_W + a1*b3*MED_Z +
a4*b3*LOW_W*MED_Z + a5*b3*MED_Z*MED_Z;
IMEW_MEZ = a1*b1 + a4*b1*MED_W + a5*b1*MED_Z + a1*b2*MED_W +
a4*b2*MED_W*MED_W + a5*b2*MED_Z*MED_W + a1*b3*MED_Z +
a4*b3*MED_W*MED_Z + a5*b3*MED_Z*MED_Z;
IHIW_MEZ = a1*b1 + a4*b1*HIGH_W + a5*b1*MED_Z + a1*b2*HIGH_W +
a4*b2*HIGH_W*HIGH_W + a5*b2*MED_Z*HIGH_W + a1*b3*MED_Z +
a4*b3*HIGH_W*MED_Z + a5*b3*MED_Z*MED_Z;
ILOW_HIZ = a1*b1 + a4*b1*LOW_W + a5*b1*HIGH_Z + a1*b2*LOW_W +
a4*b2*LOW_W*LOW_W + a5*b2*HIGH_Z*LOW_W + a1*b3*HIGH_Z +
a4*b3*LOW_W*HIGH_Z + a5*b3*HIGH_Z*HIGH_Z;
IMEW_HIZ = a1*b1 + a4*b1*MED_W + a5*b1*HIGH_Z + a1*b2*MED_W +
a4*b2*MED_W*MED_W + a5*b2*HIGH_Z*MED_W + a1*b3*HIGH_Z +
a4*b3*MED_W*HIGH_Z + a5*b3*HIGH_Z*HIGH_Z;
IHIW_HIZ = a1*b1 + a4*b1*HIGH_W + a5*b1*HIGH_Z + a1*b2*HIGH_W +
a4*b2*HIGH_W*HIGH_W + a5*b2*HIGH_Z*HIGH_W + a1*b3*HIGH_Z +
a4*b3*HIGH_W*HIGH_Z + a5*b3*HIGH_Z*HIGH_Z;
! Calc conditional direct effects for each combination of moderator values
DLOW_LOZ = cdash1 + cdash4*LOW_W + cdash5*LOW_Z;
DMEW_LOZ = cdash1 + cdash4*MED_W + cdash5*LOW_Z;
DHIW_LOZ = cdash1 + cdash4*HIGH_W + cdash5*LOW_Z;
DLOW_MEZ = cdash1 + cdash4*LOW_W + cdash5*MED_Z;
DMEW_MEZ = cdash1 + cdash4*MED_W + cdash5*MED_Z;
DHIW_MEZ = cdash1 + cdash4*HIGH_W + cdash5*MED_Z;
DLOW_HIZ = cdash1 + cdash4*LOW_W + cdash5*HIGH_Z;
DMEW_HIZ = cdash1 + cdash4*MED_W + cdash5*HIGH_Z;
DHIW_HIZ = cdash1 + cdash4*HIGH_W + cdash5*HIGH_Z;
! Calc conditional total effects for each combination of moderator values
TLOW_LOZ = ILOW_LOZ + DLOW_LOZ;
TMEW_LOZ = IMEW_LOZ + DMEW_LOZ;
THIW_LOZ = IHIW_LOZ + DHIW_LOZ;
TLOW_MEZ = ILOW_MEZ + DLOW_MEZ;
TMEW_MEZ = IMEW_MEZ + DMEW_MEZ;
THIW_MEZ = IHIW_MEZ + DHIW_MEZ;
TLOW_HIZ = ILOW_HIZ + DLOW_HIZ;
TMEW_HIZ = IMEW_HIZ + DMEW_HIZ;
THIW_HIZ = IHIW_HIZ + DHIW_HIZ;
! Use loop plot to plot conditional indirect effect of X on Y for each combination of low, med, high moderator values
! Could be edited to show conditional direct or conditional total effects instead
! NOTE - values of 1,5 in LOOP() statement need to be replaced by
! logical min and max limits of predictor X used in analysis
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 = ILOW_LOZ*XVAL;
PMEW_LOZ = IMEW_LOZ*XVAL;
PHIW_LOZ = IHIW_LOZ*XVAL;
PLOW_MEZ = ILOW_MEZ*XVAL;
PMEW_MEZ = IMEW_MEZ*XVAL;
PHIW_MEZ = IHIW_MEZ*XVAL;
PLOW_HIZ = ILOW_HIZ*XVAL;
PMEW_HIZ = IMEW_HIZ*XVAL;
PHIW_HIZ = IHIW_HIZ*XVAL;
PLOT:
TYPE = plot2;
OUTPUT:
STAND CINT(bcbootstrap);