来自图书《MPlus中介调节模型》
Y = b0 + b1M + b2V + b3Q + b4MV + b5MQ + b6VQ + b7MVQ + c'X
M = a0 + a1X
Y = b0 + b1(a0 + a1X) + b2V + b3Q + b4(a0 + a1X)V + b5(a0 + a1X)Q + b6VQ + b7(a0 + a1X)VQ + c'X
Y = b0 + a0b1 + a1b1X + b2V + b3Q + a0b4V + a1b4XV + a0b5Q + a1b5XQ + b6VQ + a0b7VQ + a1b7XVQ + c'X
Y = (b0 + a0b1 + b2V + b3Q + a0b4V + a0b5Q + b6VQ + a0b7VQ) + (a1b1 + a1b4V + a1b5Q + a1b7VQ + c')X
Y = b0 + b1M + b2V + b3Q + b4MV + b5MQ + b6VQ + b7MVQ + c'X
M = a0 + a1X
Y = b0 + b1(a0 + a1X) + b2V + b3Q + b4(a0 + a1X)V + b5(a0 + a1X)Q + b6VQ + b7(a0 + a1X)VQ + c'X
Y = b0 + a0b1 + a1b1X + b2V + b3Q + a0b4V + a1b4XV + a0b5Q + a1b5XQ + b6VQ + a0b7VQ + a1b7XVQ + c'X
Y = (b0 + a0b1 + b2V + b3Q + a0b4V + a0b5Q + b6VQ + a0b7VQ) + (a1b1 + a1b4V + a1b5Q + a1b7VQ + c')X
X 对 Y 的间接效应(在 V, Q 条件下): a1(b1 + b4V + b5Q + b7VQ)
Y = b0 + b1M + b2V + b3Q + b4MV + b5MQ + b6VQ + b7MVQ + c'X
M = a0 + a1X
Y = b0 + b1(a0 + a1X) + b2V + b3Q + b4(a0 + a1X)V + b5(a0 + a1X)Q + b6VQ + b7(a0 + a1X)VQ + c'X
Y = b0 + a0b1 + a1b1X + b2V + b3Q + a0b4V + a1b4XV + a0b5Q + a1b5XQ + b6VQ + a0b7VQ + a1b7XVQ + c'X
Y = (b0 + a0b1 + b2V + b3Q + a0b4V + a0b5Q + b6VQ + a0b7VQ) + (a1b1 + a1b4V + a1b5Q + a1b7VQ + c')X
X 对 Y 的间接效应(在 V, Q 条件下): a1(b1 + b4V + b5Q + b7VQ)
X 对 Y 的直接效应: c'
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4
V1 V2 V3 V4 Q1 Q2 Q3 Q4
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;
V BY V1* V2 V3 V4;
Q BY Q1* Q2 Q3 Q4;
Y BY Y1 Y2 Y3 Y4;
V@1; Q@1;
MV | M XWITH V;
MQ | M XWITH Q;
VQ | V XWITH Q;
MVQ | M XWITH VQ;
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4
V1 V2 V3 V4 Q1 Q2 Q3 Q4
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;
V BY V1* V2 V3 V4;
Q BY Q1* Q2 Q3 Q4;
Y BY Y1 Y2 Y3 Y4;
V@1; Q@1;
MV | M XWITH V;
MQ | M XWITH Q;
VQ | V XWITH Q;
MVQ | M XWITH VQ;
Y ON M (b1);
Y ON V (b2);
Y ON Q (b3);
Y ON MV (b4);
Y ON MQ (b5);
Y ON VQ (b6);
Y ON MVQ (b7);
Y ON X (cdash);
M ON X (a1);
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4
V1 V2 V3 V4 Q1 Q2 Q3 Q4
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;
V BY V1* V2 V3 V4;
Q BY Q1* Q2 Q3 Q4;
Y BY Y1 Y2 Y3 Y4;
V@1; Q@1;
MV | M XWITH V;
MQ | M XWITH Q;
VQ | V XWITH Q;
MVQ | M XWITH VQ;
Y ON M (b1);
Y ON V (b2);
Y ON Q (b3);
Y ON MV (b4);
Y ON MQ (b5);
Y ON VQ (b6);
Y ON MVQ (b7);
Y ON X (cdash);
M ON X (a1);
MODEL CONSTRAINT:
NEW(LOW_V MED_V HIGH_V LOW_Q MED_Q HIGH_Q ...);
LOW_V = -1; MED_V = 0; HIGH_V = 1; ...
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4
V1 V2 V3 V4 Q1 Q2 Q3 Q4
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;
V BY V1* V2 V3 V4;
Q BY Q1* Q2 Q3 Q4;
Y BY Y1 Y2 Y3 Y4;
V@1; Q@1;
MV | M XWITH V;
MQ | M XWITH Q;
VQ | V XWITH Q;
MVQ | M XWITH VQ;
Y ON M (b1);
Y ON V (b2);
Y ON Q (b3);
Y ON MV (b4);
Y ON MQ (b5);
Y ON VQ (b6);
Y ON MVQ (b7);
Y ON X (cdash);
M ON X (a1);
MODEL CONSTRAINT:
NEW(LOW_V MED_V HIGH_V LOW_Q MED_Q HIGH_Q ...);
LOW_V = -1; MED_V = 0; HIGH_V = 1; ...
ILOV_LOQ = a1*b1 + a1*b4*LOW_V + a1*b5*LOW_Q + a1*b7*LOW_V*LOW_Q; ...
TLOV_LOQ = ILOV_LOQ + cdash; ...
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4
V1 V2 V3 V4 Q1 Q2 Q3 Q4
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;
V BY V1* V2 V3 V4;
Q BY Q1* Q2 Q3 Q4;
Y BY Y1 Y2 Y3 Y4;
V@1; Q@1;
MV | M XWITH V;
MQ | M XWITH Q;
VQ | V XWITH Q;
MVQ | M XWITH VQ;
Y ON M (b1);
Y ON V (b2);
Y ON Q (b3);
Y ON MV (b4);
Y ON MQ (b5);
Y ON VQ (b6);
Y ON MVQ (b7);
Y ON X (cdash);
M ON X (a1);
MODEL CONSTRAINT:
NEW(LOW_V MED_V HIGH_V LOW_Q MED_Q HIGH_Q ...);
LOW_V = -1; MED_V = 0; HIGH_V = 1; ...
ILOV_LOQ = a1*b1 + a1*b4*LOW_V + a1*b5*LOW_Q + a1*b7*LOW_V*LOW_Q; ...
TLOV_LOQ = ILOV_LOQ + cdash; ...
PLOT(PLOV_LOQ PMEV_LOQ PHIV_LOQ ...);
LOOP(XVAL,-3,3,0.1);
PLOV_LOQ = ILOV_LOQ*XVAL; ...
USEVARIABLES = X1 X2 X3 X4 M1 M2 M3 M4
V1 V2 V3 V4 Q1 Q2 Q3 Q4
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;
V BY V1* V2 V3 V4;
Q BY Q1* Q2 Q3 Q4;
Y BY Y1 Y2 Y3 Y4;
V@1; Q@1;
MV | M XWITH V;
MQ | M XWITH Q;
VQ | V XWITH Q;
MVQ | M XWITH VQ;
Y ON M (b1);
Y ON V (b2);
Y ON Q (b3);
Y ON MV (b4);
Y ON MQ (b5);
Y ON VQ (b6);
Y ON MVQ (b7);
Y ON X (cdash);
M ON X (a1);
MODEL CONSTRAINT:
NEW(LOW_V MED_V HIGH_V LOW_Q MED_Q HIGH_Q ...);
LOW_V = -1; MED_V = 0; HIGH_V = 1; ...
ILOV_LOQ = a1*b1 + a1*b4*LOW_V + a1*b5*LOW_Q + a1*b7*LOW_V*LOW_Q; ...
TLOV_LOQ = ILOV_LOQ + cdash; ...
PLOT(PLOV_LOQ PMEV_LOQ PHIV_LOQ ...);
LOOP(XVAL,-3,3,0.1);
PLOV_LOQ = ILOV_LOQ*XVAL; ...
PLOT: TYPE = plot2;
OUTPUT: CINT;