来自图书《MPlus中介调节模型》
Y = b0 + b1M + b2MV + c1'X + c2'W + c3'XW + c4'V + c5'XV
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ + a6WZ + a7XWZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ + a6WZ + a7XWZ) + b2(a0 + a1X + a2W + a3Z + a4XW + a5XZ + a6WZ + a7XWZ)V + c1'X + c2'W + c3'XW + c4'V + c5'XV
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + a6b1WZ + a7b1XWZ + a0b2V + a1b2XV + a2b2WV + a3b2ZV + a4b2XWV + a5b2XZV + a6b2WZV + a7b2XWZV + c1'X + c2'W + c3'XW + c4'V + c5'XV
Y = b0 + b1M + b2MV + c1'X + c2'W + c3'XW + c4'V + c5'XV
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ + a6WZ + a7XWZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ + a6WZ + a7XWZ) + b2(a0 + a1X + a2W + a3Z + a4XW + a5XZ + a6WZ + a7XWZ)V + c1'X + c2'W + c3'XW + c4'V + c5'XV
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + a6b1WZ + a7b1XWZ + a0b2V + a1b2XV + a2b2WV + a3b2ZV + a4b2XWV + a5b2XZV + a6b2WZV + a7b2XWZV + c1'X + c2'W + c3'XW + c4'V + c5'XV
Y = (b0 + a0b1 + a2b1W + a3b1Z + a6b1WZ + a0b2V + a2b2WV + a3b2ZV + a6b2WZV + c2'W + c4'V) + (a1b1 + a4b1W + a5b1Z + a7b1WZ + a1b2V + a4b2WV + a5b2ZV + a7b2WZV + c1' + c3'W + c5'V)X
Y = b0 + b1M + b2MV + c1'X + c2'W + c3'XW + c4'V + c5'XV
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ + a6WZ + a7XWZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ + a6WZ + a7XWZ) + b2(a0 + a1X + a2W + a3Z + a4XW + a5XZ + a6WZ + a7XWZ)V + c1'X + c2'W + c3'XW + c4'V + c5'XV
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + a6b1WZ + a7b1XWZ + a0b2V + a1b2XV + a2b2WV + a3b2ZV + a4b2XWV + a5b2XZV + a6b2WZV + a7b2XWZV + c1'X + c2'W + c3'XW + c4'V + c5'XV
Y = (b0 + a0b1 + a2b1W + a3b1Z + a6b1WZ + a0b2V + a2b2WV + a3b2ZV + a6b2WZV + c2'W + c4'V) + (a1b1 + a4b1W + a5b1Z + a7b1WZ + a1b2V + a4b2WV + a5b2ZV + a7b2WZV + c1' + c3'W + c5'V)X
X对Y的间接效应(条件于W, Z, V):(a1 + a4W + a5Z + a7WZ)(b1 + b2V)
Y = b0 + b1M + b2MV + c1'X + c2'W + c3'XW + c4'V + c5'XV
M = a0 + a1X + a2W + a3Z + a4XW + a5XZ + a6WZ + a7XWZ
Y = b0 + b1(a0 + a1X + a2W + a3Z + a4XW + a5XZ + a6WZ + a7XWZ) + b2(a0 + a1X + a2W + a3Z + a4XW + a5XZ + a6WZ + a7XWZ)V + c1'X + c2'W + c3'XW + c4'V + c5'XV
Y = b0 + a0b1 + a1b1X + a2b1W + a3b1Z + a4b1XW + a5b1XZ + a6b1WZ + a7b1XWZ + a0b2V + a1b2XV + a2b2WV + a3b2ZV + a4b2XWV + a5b2XZV + a6b2WZV + a7b2XWZV + c1'X + c2'W + c3'XW + c4'V + c5'XV
Y = (b0 + a0b1 + a2b1W + a3b1Z + a6b1WZ + a0b2V + a2b2WV + a3b2ZV + a6b2WZV + c2'W + c4'V) + (a1b1 + a4b1W + a5b1Z + a7b1WZ + a1b2V + a4b2WV + a5b2ZV + a7b2WZV + c1' + c3'W + c5'V)X
X对Y的间接效应(条件于W, Z, V):(a1 + a4W + a5Z + a7WZ)(b1 + b2V)
X对Y的直接效应(条件于W, V):c1' + c3'W + c5'V
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4
W1 W2 W3 W4 Z1 Z2 Z3 Z4 V1 V2 V3 V4
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;
V BY V1* V2 V3 V4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1; V@1;
MV | M XWITH V;
XW | X XWITH W;
XZ | X XWITH Z;
XV | X XWITH V;
WZ | W XWITH Z;
XWZ | X XWITH WZ;
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4
W1 W2 W3 W4 Z1 Z2 Z3 Z4 V1 V2 V3 V4
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;
V BY V1* V2 V3 V4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1; V@1;
MV | M XWITH V;
XW | X XWITH W;
XZ | X XWITH Z;
XV | X XWITH V;
WZ | W XWITH Z;
XWZ | X XWITH WZ;
Y ON M (b1);
Y ON MV (b2);
Y ON X (cdash1);
Y ON W (cdash2);
Y ON XW (cdash3);
Y ON V (cdash4);
Y ON XV (cdash5);
M ON X (a1);
M ON W (a2);
M ON Z (a3);
M ON XW (a4);
M ON XZ (a5);
M ON WZ (a6);
M ON XWZ (a7);
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4
W1 W2 W3 W4 Z1 Z2 Z3 Z4 V1 V2 V3 V4
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;
V BY V1* V2 V3 V4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1; V@1;
MV | M XWITH V;
XW | X XWITH W;
XZ | X XWITH Z;
XV | X XWITH V;
WZ | W XWITH Z;
XWZ | X XWITH WZ;
Y ON M (b1);
Y ON MV (b2);
Y ON X (cdash1);
Y ON W (cdash2);
Y ON XW (cdash3);
Y ON V (cdash4);
Y ON XV (cdash5);
M ON X (a1);
M ON W (a2);
M ON Z (a3);
M ON XW (a4);
M ON XZ (a5);
M ON WZ (a6);
M ON XWZ (a7);
MODEL CONSTRAINT:
NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z LOW_V MED_V HIGH_V ...);
LOW_W = -1; MED_W = 0; HIGH_W = 1; ...
ILWLZLV = a1*b1 + a4*b1*LOW_W + a5*b1*LOW_Z + a7*b1*LOW_W*LOW_Z + ...;
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4
W1 W2 W3 W4 Z1 Z2 Z3 Z4 V1 V2 V3 V4
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;
V BY V1* V2 V3 V4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1; V@1;
MV | M XWITH V;
XW | X XWITH W;
XZ | X XWITH Z;
XV | X XWITH V;
WZ | W XWITH Z;
XWZ | X XWITH WZ;
Y ON M (b1);
Y ON MV (b2);
Y ON X (cdash1);
Y ON W (cdash2);
Y ON XW (cdash3);
Y ON V (cdash4);
Y ON XV (cdash5);
M ON X (a1);
M ON W (a2);
M ON Z (a3);
M ON XW (a4);
M ON XZ (a5);
M ON WZ (a6);
M ON XWZ (a7);
MODEL CONSTRAINT:
NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z LOW_V MED_V HIGH_V ...);
LOW_W = -1; MED_W = 0; HIGH_W = 1; ...
ILWLZLV = a1*b1 + a4*b1*LOW_W + a5*b1*LOW_Z + a7*b1*LOW_W*LOW_Z + ...;
PLOT(PLWLZLV PMWLZLV PHWLZLV ...);
LOOP(XVAL,-3,3,0.1);
PLWLZLV = ILWLZLV*XVAL; ...
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4
W1 W2 W3 W4 Z1 Z2 Z3 Z4 V1 V2 V3 V4
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;
V BY V1* V2 V3 V4;
Y BY Y1 Y2 Y3 Y4;
W@1; Z@1; V@1;
MV | M XWITH V;
XW | X XWITH W;
XZ | X XWITH Z;
XV | X XWITH V;
WZ | W XWITH Z;
XWZ | X XWITH WZ;
Y ON M (b1);
Y ON MV (b2);
Y ON X (cdash1);
Y ON W (cdash2);
Y ON XW (cdash3);
Y ON V (cdash4);
Y ON XV (cdash5);
M ON X (a1);
M ON W (a2);
M ON Z (a3);
M ON XW (a4);
M ON XZ (a5);
M ON WZ (a6);
M ON XWZ (a7);
MODEL CONSTRAINT:
NEW(LOW_W MED_W HIGH_W LOW_Z MED_Z HIGH_Z LOW_V MED_V HIGH_V ...);
LOW_W = -1; MED_W = 0; HIGH_W = 1; ...
ILWLZLV = a1*b1 + a4*b1*LOW_W + a5*b1*LOW_Z + a7*b1*LOW_W*LOW_Z + ...;
PLOT(PLWLZLV PMWLZLV PHWLZLV ...);
LOOP(XVAL,-3,3,0.1);
PLWLZLV = ILWLZLV*XVAL; ...
PLOT: TYPE = plot2;
OUTPUT: CINT;