来自图书《MPlus中介调节模型》
Y = b0 + b1M + b2MW + c1'X + c2'W + c3'XW
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ) + b2(a0 + a1X + a2W + a3Z + a4XW + a5XZ)W + c1'X + c2'W + c3'XW
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + a0b2W + a1b2XW + a2b2WW + a3b2ZW + a4b2XWW + a5b2XZW + c1'X + c2'W + c3'XW
Y = b0 + b1M + b2MW + c1'X + c2'W + c3'XW
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ) + b2(a0 + a1X + a2W + a3Z + a4XW + a5XZ)W + c1'X + c2'W + c3'XW
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + a0b2W + a1b2XW + a2b2WW + a3b2ZW + a4b2XWW + a5b2XZW + c1'X + c2'W + c3'XW
Y = (b0 + a0b1 + a2b1W + a3b1Z + a0b2W + a2b2WW + a3b2ZW + c2'W) + (a1b1 + a4b1W + a5b1Z + a1b2W + a4b2WW + a5b2ZW + c1' + c3'W)X
Y = b0 + b1M + b2MW + c1'X + c2'W + c3'XW
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ) + b2(a0 + a1X + a2W + a3Z + a4XW + a5XZ)W + c1'X + c2'W + c3'XW
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + a0b2W + a1b2XW + a2b2WW + a3b2ZW + a4b2XWW + a5b2XZW + c1'X + c2'W + c3'XW
Y = (b0 + a0b1 + a2b1W + a3b1Z + a0b2W + a2b2WW + a3b2ZW + c2'W) + (a1b1 + a4b1W + a5b1Z + a1b2W + a4b2WW + a5b2ZW + c1' + c3'W)X
X对Y的间接效应(在W,Z的条件下):(a1 + a4W + a5Z)(b1 + b2W)
Y = b0 + b1M + b2MW + c1'X + c2'W + c3'XW
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ) + b2(a0 + a1X + a2W + a3Z + a4XW + a5XZ)W + c1'X + c2'W + c3'XW
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + a0b2W + a1b2XW + a2b2WW + a3b2ZW + a4b2XWW + a5b2XZW + c1'X + c2'W + c3'XW
Y = (b0 + a0b1 + a2b1W + a3b1Z + a0b2W + a2b2WW + a3b2ZW + c2'W) + (a1b1 + a4b1W + a5b1Z + a1b2W + a4b2WW + a5b2ZW + c1' + c3'W)X
X对Y的间接效应(在W,Z的条件下):(a1 + a4W + a5Z)(b1 + b2W)
X对Y的直接效应(在W的条件下):c1' + c3'W
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 W1 W2 W3 W4 Z1 Z2 Z3 Z4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL RANDOM;
ESTIMATOR = ML;
ALGORITHM = INTEGRATION;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
W BY W1* W2 W3 W4;
Z BY Z1* Z2 Z3 Z4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1;
MW | M XWITH W;
XW | X XWITH W;
XZ | X XWITH Z;
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 W1 W2 W3 W4 Z1 Z2 Z3 Z4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL RANDOM;
ESTIMATOR = ML;
ALGORITHM = INTEGRATION;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
W BY W1* W2 W3 W4;
Z BY Z1* Z2 Z3 Z4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1;
MW | M XWITH W;
XW | X XWITH W;
XZ | X XWITH Z;
Y ON M (b1); ... M ON XZ (a5);
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 W1 W2 W3 W4 Z1 Z2 Z3 Z4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL RANDOM;
ESTIMATOR = ML;
ALGORITHM = INTEGRATION;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
W BY W1* W2 W3 W4;
Z BY Z1* Z2 Z3 Z4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1;
MW | M XWITH W;
XW | X XWITH W;
XZ | X XWITH Z;
Y ON M (b1); ... M ON XZ (a5);
MODEL CONSTRAINT:
NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z ...);
LOW_W = -1; ... HIGH_Z = 1; ...
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 W1 W2 W3 W4 Z1 Z2 Z3 Z4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL RANDOM;
ESTIMATOR = ML;
ALGORITHM = INTEGRATION;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
W BY W1* W2 W3 W4;
Z BY Z1* Z2 Z3 Z4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1;
MW | M XWITH W;
XW | X XWITH W;
XZ | X XWITH Z;
Y ON M (b1); ... M ON XZ (a5);
MODEL CONSTRAINT:
NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z ...);
LOW_W = -1; ... HIGH_Z = 1; ...
ILOW_LOZ = a1*b1 + a4*b1*LOW_W + ...; ... IHIW_HIZ = ...;
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 W1 W2 W3 W4 Z1 Z2 Z3 Z4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL RANDOM;
ESTIMATOR = ML;
ALGORITHM = INTEGRATION;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
W BY W1* W2 W3 W4;
Z BY Z1* Z2 Z3 Z4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1;
MW | M XWITH W;
XW | X XWITH W;
XZ | X XWITH Z;
Y ON M (b1); ... M ON XZ (a5);
MODEL CONSTRAINT:
NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z ...);
LOW_W = -1; ... HIGH_Z = 1; ...
ILOW_LOZ = a1*b1 + a4*b1*LOW_W + ...; ... IHIW_HIZ = ...;
DIR_LOWW = ...; ... DIR_HIW = ...;
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 W1 W2 W3 W4 Z1 Z2 Z3 Z4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL RANDOM;
ESTIMATOR = ML;
ALGORITHM = INTEGRATION;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
W BY W1* W2 W3 W4;
Z BY Z1* Z2 Z3 Z4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1;
MW | M XWITH W;
XW | X XWITH W;
XZ | X XWITH Z;
Y ON M (b1); ... M ON XZ (a5);
MODEL CONSTRAINT:
NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z ...);
LOW_W = -1; ... HIGH_Z = 1; ...
ILOW_LOZ = a1*b1 + a4*b1*LOW_W + ...; ... IHIW_HIZ = ...;
DIR_LOWW = ...; ... DIR_HIW = ...;
TLOW_LOZ = ...; ... THIW_HIZ = ...;
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 W1 W2 W3 W4 Z1 Z2 Z3 Z4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL RANDOM;
ESTIMATOR = ML;
ALGORITHM = INTEGRATION;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
W BY W1* W2 W3 W4;
Z BY Z1* Z2 Z3 Z4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1;
MW | M XWITH W;
XW | X XWITH W;
XZ | X XWITH Z;
Y ON M (b1); ... M ON XZ (a5);
MODEL CONSTRAINT:
NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z ...);
LOW_W = -1; ... HIGH_Z = 1; ...
ILOW_LOZ = a1*b1 + a4*b1*LOW_W + ...; ... IHIW_HIZ = ...;
DIR_LOWW = ...; ... DIR_HIW = ...;
TLOW_LOZ = ...; ... THIW_HIZ = ...;
PLOT(PLOW_LOZ PMEW_LOZ PHIW_LOZ ...);
LOOP(XVAL,-3,3,0.1); ...
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4 W1 W2 W3 W4 Z1 Z2 Z3 Z4 Y1 Y2 Y3 Y4;
ANALYSIS:
TYPE = GENERAL RANDOM;
ESTIMATOR = ML;
ALGORITHM = INTEGRATION;
MODEL:
X BY X1 X2 X3 X4;
M BY M1 M2 M3 M4;
W BY W1* W2 W3 W4;
Z BY Z1* Z2 Z3 Z4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1;
MW | M XWITH W;
XW | X XWITH W;
XZ | X XWITH Z;
Y ON M (b1); ... M ON XZ (a5);
MODEL CONSTRAINT:
NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z ...);
LOW_W = -1; ... HIGH_Z = 1; ...
ILOW_LOZ = a1*b1 + a4*b1*LOW_W + ...; ... IHIW_HIZ = ...;
DIR_LOWW = ...; ... DIR_HIW = ...;
TLOW_LOZ = ...; ... THIW_HIZ = ...;
PLOT(PLOW_LOZ PMEW_LOZ PHIW_LOZ ...);
LOOP(XVAL,-3,3,0.1); ...
PLOT: TYPE = plot2;
OUTPUT: CINT;