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(1)

M Y X Y b 1 e Y 1 X M XM b 2 b 3 Statistical Diagram Conditional effect of X on Y = b1 + b3M

(2)

M Y X Y b 1 eY 1 X D1 b 2 bk Statistical Diagram D1X Dk-1 Dk-1X . . . . . . . . . b k+1 . . . b2k-1 M XM Conditional effect of X on Y = b1 + bk+1D1 + + b. . . 2k-1D2k-1

(3)

M Y X Y b 1 eY 1 D1 b k-1 bk Statistical Diagram b1 + bk+1M b + b M D1M Dk-1 Dk-1M . . . . . . . . . b k+1 . . . b2k-1 M XM X Conditional effect of X on Y = . . .

{

(4)

M Y X Y b 2 e Y 1 M X W b 1 b 3 Statistical Diagram Conditional effect of X on Y = b1 + b4M + b5W W XW XM b 4 b 5

(5)

M Y X Y b 2 e Y 1 M X W b 1 b 3 Statistical Diagram Conditional effect of X on Y = b1 + b4M + b5W+ b7MW XW XM b 4 b 5 XMW MW b 6 b 7 W

(6)

Mi Y X e Y 1 c' Statistical Diagram

Indirect effect of X on Y through Mi = ai bi

a i bi Mi Y X e Mi 1 Direct effect of X on Y = c'

(7)

Mi Y X e Y 1 Statistical Diagram

Relative indirect effect of X on Y through Mi =

a 1 b i Mi Y e Mi 1

Relative direct effect of X on Y =

D1 Dk-1 . . . X a k-1 c' 1 c' k-1 . . . . . . i a 1bi . . .

{

a k-1bi c' 1 . . .

{

c' k-1

(8)

Mi Y X e Y 1 Statistical Diagram

Indirect effect of X on Y through Mi = ai bi

a i bi Mi Y X e Mi 1

Conditional direct effect of X on Y = c1'+ c

3'W

*Model 5 allows up to 10 mediators operating in parallel

W W XW c 1' c 2' c 3'

(9)

M 1 Y X e Y 1 Statistical Diagram

Indirect effect of X on Y through Mi only = ai bi e M1 1 Direct effect of X on Y = c' M2 M 1 Y X c' a 1 M 2 a 2 b1 b2 d 21 e M2 1

(10)

Statistical Diagram Y X M1 M3 M2 Y X M1 M 3 M2 eM 3 e Y eM 1 e M 2 c ' b 1 b 2 b 3 a 1 a2 a 3 d 21 d32 d 31 1 1 1 1

Indirect effect of X on Y through Mi only = ai bi

Direct effect of X on Y = c'

Indirect effect of X on Y through M1 and M2 in serial = a1 d 21 b2

Indirect effect of X on Y through M1 and M3 in serial = a1 d31 b3 Indirect effect of X on Y through M1, M2, and M3 in serial = a1 d

21 d32 b3

Indirect effect of X on Y through M2 and M3 in serial = a2 d 32 b3

(11)

Statistical Diagram Y X M 1 M3 M2 a 1

Indirect effect of X on Y through Mi only = ai bi

Direct effect of X on Y = c'

Indirect effect of X on Y through M1 and M2 in serial = a1 d21 b2 Indirect effect of X on Y through M1 and M3 in serial = a1 d

31 b3

Indirect effect of X on Y through M1, M2, M3, and M4 in serial = a1 d

21 d32 d43 b4

Indirect effect of X on Y through M2 and M3 in serial = a2 d32 b3

M4 e M 1 1 Y X M1 M3 M2 M4 e M 2 1 eM 3 1 eM 4 1 e Y 1 a 2 a3 a 4 c ' b 3 b 4 b 2 b 1 d 32 d 21 d43 d 31 d 42 d 41

Indirect effect of X on Y through M1 and M4 in serial = a1 d 41 b4

Indirect effect of X on Y through M2 and M4 in serial = a2 d42 b4 Indirect effect of X on Y through M3 and M4 in serial = a3 d43 b4

Indirect effect of X on Y through M1, M2, and M3 in serial = a1 d21 d32 b3 Indirect effect of X on Y through M1, M2, and M4 in serial = a1 d21 d42 b4 Indirect effect of X on Y through M1, M3, and M4 in serial = a1 d31 d43 b4 Indirect effect of X on Y through M2, M3, and M4 in serial = a2 d32 d43 b4

(12)

Mi Y X e Y 1 c' Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)bi

a 1i bi Mi Y X e Mi 1 Direct effect of X on Y = c'

Note: Model 7 allows up to 10 mediators operating in parallel.

W W XW a 2i a 3i

(13)

Mi Y X e Y 1 Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)bi

a 1i bi Mi Y X e Mi 1

Conditional direct effect of X on Y = c1'+ c

3'W W W XW a 2i a 3i c 1' c 2' c 3'

(14)

Mi Y X e Y 1 c' Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ) bi

a 1i bi Mi Y X e Mi 1 Direct effect of X on Y = c'

*Model 9 allows up to 10 mediators operating in parallel

W W Z a 2i a 3i Z XW XZ a 4i a 5i

(15)

Mi Y X eY 1 Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ) bi

a 1i bi Mi Y X e Mi 1 W W Z a 2i a 3i Z XW XZ a 4i a 5i c 1' c 2' c 3' c 4' c 5'

Conditional direct effect of X on Y = c1'+ c

(16)

Y X Y e Y 1 X W Statistical Diagram XW WZ XZ XWZ Z Z e Mi Mi c' a 1i a 2i a 3i a 4i a 5i b i a 6i a7i

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ) bi

*Model 11 allows up to 10 mediators operating in parallel

Direct effect of X on Y = c'

W

Mi 1

(17)

Y X Y e Y 1 X W Statistical Diagram XW WZ XZ XWZ Z e Mi Mi a 1i a 2i a 3i a 4i a 5i b i a 6i a 7i

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ) bi

Note: Model 12 allows up to 10 mediators operating in parallel. c 1' c 2' c 3' c 4' c 5' c 6' c 7'

Conditional direct effect of X on Y = c1'+ c

4'W + c5'Z + c7'WZ Z

W

Mi 1

(18)

Y X Y e Y 1 Mi X W Statistical Diagram XW WZ XZ XWZ Z e Mi Mi a 1i a 2i a 3i a 4i a 5i b i a 6i a7i

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ) bi

*Model 13 allows up to 10 mediators operating in parallel c 1' c 2' c 3'

Conditional direct effect of X on Y = c1'+ c

3'W Z

W

(19)

Mi Y X e Y 1 Statistical Diagram

Conditional indirect effect of X on Y through Mi = ai (b1i + b3iV)

a i b1i Mi Y X e Mi 1 Direct effect of X on Y = c' V V MiV c' b 2 b 3i

(20)

Mi Y X e Y 1 Statistical Diagram

Conditional indirect effect of X on Y through Mi = ai (b1i + b2iV)

a i b1i Mi Y X e Mi 1

Note: Model 15 allows up to 10 mediators operating in parallel.

V V XV b 2i MiV c 1' c 3'

Conditional direct effect of X on Y = c1'+ c

3'V

c

(21)

Mi Y X eY 1 Statistical Diagram

Conditional indirect effect of X on Y through Mi = ai (b1i + b4iV + b5iQ)

ai b1i Mi Y X eMi 1 Direct effect of X on Y = c' V V MiV c' b2 b4i Q Q MiQ b3 b5i

(22)

Mi Y X eY 1 Statistical Diagram

Conditional indirect effect of X on Y through Mi = ai (b1i + b2iV + b3iQ)

ai b1i Mi Y X eMi 1

Conditional direct effect of X on Y = c1' + c4'V + c5'Q *Model 17 allows up to 10 mediators operating in parallel

V V MiV Q Q MiQ XQ XV b2i b3i c1' c2' c3' c4' c5'

(23)

Y X Y eY 1 Mi X V Statistical Diagram VQ Q Q eMi Mi c' ai

Conditional indirect effect of X on Y through Mi = ai (b1i + b4iV + b5iQ + b7iVQ)

*Model 18 allows up to 10 mediators operating in parallel

Direct effect of X on Y = c' V MiV MiQ MiVQ b1i b2 b3 b4i b5i b6 b 7i 1

(24)

*Model 19 allows up to 10 mediators operating in parallel Y X Y eY 1 Mi X V Statistical Diagram VQ Q Q eMi Mi ai

Conditional indirect effect of X on Y through Mi = ai (b1i + b2iV + b3iQ + b4iVQ)

V MiV MiQ MiVQ b1i b2i b3i b4i XV XQ XVQ c1' c2' c3' c4' c5' c6' c7'

Conditional direct effect of X on Y = c1'+ c4'V + c5'Q + c7'VQ

(25)

Y X Y eY 1 Mi X V Statistical Diagram VQ Q Q eMi Mi ai

Conditional indirect effect of X on Y through Mi = ai (b1i + b3iV + b4iQ + b6iVQ)

*Model 20 allows up to 10 mediators operating in parallel

V MiV MiQ MiVQ b1i b2 b3 b4i b5i b6i XV c1' c2' c3'

Conditional direct effect of X on Y = c1'+ c3'V

(26)

Mi

Y X

Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b3iV)

Direct effect of X on Y = c'

Note: Model 21 allows up to 10 mediators operating in parallel.

V W eY 1 c' a 1i Mi Y X e Mi 1 W XW a 2i a 3i MiV V b 1i b 2 b3i

(27)

Mi

Y X

Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b3iV) V W eY 1 a 1i Mi Y X e Mi 1 W XW a 2i a3i MiV V b 1i b 2 b3i

Conditional direct effect of X on Y = c1'+ c

3'W c 1' c 2' c 3'

(28)

Mi

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ)(b1i + b3iV)

*Model 23 allows up to 10 mediators operating in parallel

V W Direct effect of X on Y = c' Z eY 1 Statistical Diagram a 1i b 1i Mi Y X e Mi 1 W XW a 2i MiV a 3i Z XZ a 4i a5i b2 c' V b 3i

(29)

Mi

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ)(b1i + b3iV) V

W

Conditional direct effect of X on Y = c1'+ c

4'W+ c5'Z Z eY 1 Statistical Diagram a 1i b 1i Mi Y X e Mi 1 W XW a 2i MiV a 3i Z XZ a 4i a5i b 2 V b 3i c 1' c 2' c 3' c 4' c 5'

(30)

Y X Y e Y 1 X W Statistical Diagram XW WZ XZ XWZ Z Z e Mi Mi c' a 1i a 2i a 3i a 4i a 5i b 1i a 6i a7i

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b3iV)

*Model 25 allows up to 10 mediators operating in parallel

Direct effect of X on Y = c' W MiV Mi V b 3i b 2 V 1

(31)

Y X Y e Y 1 X W Statistical Diagram XW WZ XZ XWZ Z e Mi Mi a 1i a 2i a 3i a 4i a 5i a 6i a 7i

*Model 26 allows up to 10 mediators operating in parallel c 1' c 2' c 3' c 4' c 5' c 6' c7'

Conditional direct effect of X on Y = c1'+ c

4'W + c5'Z + c7'WZ Z W Mi MiV V b 3i b 2 V

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b3iV)

b

1i 1

(32)

Y X Y e Y 1 X W Statistical Diagram XW WZ XZ XWZ Z e Mi Mi a 1i a 2i a 3i a 4i a 5i a 6i a 7i

*Model 27 allows up to 10 mediators operating in parallel c 1' c 2' c 3'

Conditional direct effect of X on Y = c1'+ c

3'W Z W Mi MiV V b 3i b 2 V

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b3iV)

b

1i 1

(33)

Mi Y X e Y 1 Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b2iV)

b 1i Mi Y X e Mi 1 V W XV c 1'

Conditional direct effect of X on Y = c1'+ c

3'V W MiV V XW a 1i a 2i a 3i c3' c 2' b2i

(34)

Mi Y X e Y 1 Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b2iV)

b 1i Mi Y X e Mi 1

*Model 29 allows up to 10 mediators operating in parallel

V W XV c 1' c 2'

Conditional direct effect of X on Y = c1'+ c

4'W + c5'V W MiV V XW a 1i a 2i a 3i c 4' c 3' b2i c 5'

(35)

Mi

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ)(b1i + b2iV) V

W

Conditional direct effect of X on Y = c1'+ c

3'V Z eY 1 Statistical Diagram a 1i b 1i Mi Y X e Mi 1 W XW a 2i MiV a 3i Z XZ a 4i a 5i V b 2i c 1' c 2' c3' XV

(36)

Mi

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ)(b1i + b2iV)

*Model 31 allows up to 10 mediators operating in parallel

V W

Conditional direct effect of X on Y = c1'+ c

4'W + c5'Z + c7'V Z eY 1 Statistical Diagram a 1i b 1i Mi Y X e Mi 1 W XW a 2i MiV a 3i Z XZ a 4i a 5i XV b 2i c 1' c 2' c 3' V c 4' c 5' c6' c7'

(37)

*Model 32 allows up to 10 mediators operating in parallel Y e Y 1 Mi X W Statistical Diagram WZ Z e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b2iV) MiV XV b 1i b 2i XW XZ XWZ c 1'

Conditional direct effect of X on Y = c1'+ c

3'V Mi Y X a 1i a 2i a 3i Z W V V a 4i a 5i a 6i a 7i c2' c3' 1

(38)

*Model 33 allows up to 10 mediators operating in parallel Y e Y 1 Mi X W Statistical Diagram WZ Z e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b2iV) MiV XV b 1i b 2i XW XZ XWZ c 1' c 2' c 3' c 4' c 6'

Conditional direct effect of X on Y = c1'+ c

4'W + c5'Z + c7'WZ + c9'V Mi Y X a 1i a 2i a 3i Z W V V a 4i a 5i a 6i a7i c 5' c 7' c 8' c9' 1

(39)

*Model 34 allows up to 10 mediators operating in parallel Y e Y 1 Mi X W Statistical Diagram WZ Z e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b2iV) MiV XV b 1i b 2i XW XZ XWZ c 1' c 2' c 3' c 4' c5'

Conditional direct effect of X on Y = c1'+ c

3'W + c5'V Mi Y X a 1i a 2i a 3i Z W V V a 4i a 5i a6i a7i 1

(40)

Y eY 1 Mi W X Statistical Diagram Q eMi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b4iV + b5iQ)

*Model 35 allows up to 10 mediators operating in parallel

Direct effect of X on Y = c' MiV MiQ b1i b2 b3 b4i b5i Mi Y X V Q W V XW c' a1i a2i a3i 1

(41)

Mi Y X V Q Y eY 1 Mi W X Statistical Diagram Q eMi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b2iV + b3iQ) b1i b2i b3i V XW a1i a2i a3i V W MiV MiQ XV XQ c1' c2' c3' c5' c4'

Conditional direct effect of X on Y = c1' + c4'V + c5'Q

(42)

Y X

Q Mi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b4iV + b5iQ + b7iVQ)

*Model 37 allows up to 10 mediators operating in parallel

Direct effect of X on Y = c' V W Y eY 1 Mi W X Statistical Diagram Q eMi b1i b6 b7i V XW a1i a2i a3i VQ MiVQ c' MiV MiQ b2 b3 b4i b5i 1

(43)

Y X

Q Mi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b2iV + b3iQ + b4iVQ)

V W Y eY 1 Mi W X Statistical Diagram Q eMi b1i V XW a1i a2i a3i VQ MiV MiQ MiVQ b2i b3i b4i XV XVQ XQ c1' c4' c5' c2' c3' c7'

Conditional direct effect of X on Y = c1'+ c4'V + c5'Q + c7'VQ c6'

(44)

Y X

Q Mi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b3iV + b4iQ + b6iVQ)

*Model 39 allows up to 10 mediators operating in parallel

V W Y eY 1 Mi W X Statistical Diagram VX eMi b1i b6i V XW a1i a2i a3i VQ MiVQ MiV MiQ b2 b3i b4i b5 Q c1' c2' c3'

Conditional direct effect of X on Y = c1' + c3'V

(45)

Y eY 1 Mi W X Statistical Diagram Q eMi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b4iV + b5iQ) Conditional direct effect of X on Y = c1' + c3'W

MiV MiQ b1i b2 b3 b4i b5i Mi Y X V Q W V XW a1i a2i a3i c1' c2' c3' 1

(46)

Mi

Y X

*Model 41 allows up to 10 mediators operating in parallel

V Q Y eY 1 Mi W X Statistical Diagram Q eMi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b2iV + b3iQ) b1i b2i b3i V XW a1i a2i a3i V W MiV MiQ XV XQ c1' c2' c3' c7' c6'

Conditional direct effect of X on Y = c1' + c3'W + c6'V + c7'Q c4'

c5'

(47)

Y X

Q Mi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b4iV + b5iQ + b7iVQ)

*Model 42 allows up to 10 mediators operating in parallel

Conditional direct effect of X on Y = c1' + c3'W

V W Y eY 1 Mi W X Statistical Diagram Q eMi b1i b6i b7i V XW a1i a2i a3i VQ MiVQ MiV MiQ b2i b3i b4i b5i c1' c2' c3' 1

(48)

Y X

Q Mi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b2iV + b3iQ + b4iVQ)

*Model 43 allows up to 10 mediators operating in parallel

V W Y eY 1 Mi W X Statistical Diagram Q eMi b1i V XW a1i a2i a3i VQ MiV MiQ MiVQ b2i b3i b4i XV XVQ XQ c1' c6' c7' c4' c5' c9'

Conditional direct effect of X on Y = c1'+ c3'W + c6'V + c7'Q + c9'VQ c8'

c2' c3'

(49)

Y X

Q Mi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b3iV + b4iQ + b6iVQ)

*Model 44 allows up to 10 mediators operating in parallel

V W Y eY 1 Mi W X Statistical Diagram VX eMi b1i b6i V XW a1i a2i a3i VQ MiVQ MiV MiQ b2 b3i b4i b5i Q c1' c4' c5'

Conditional direct effect of X on Y = c1' + c3'W + c5'V c2'

c3'

(50)

Mi

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ)(b1i + b4iV + b5iQ)

*Model 45 allows up to 10 mediators operating in parallel

V W Direct effect of X on Y = c' Z Statistical Diagram Y eY 1 X W XW V XZ Q Z eMi c' a1i a2i a3i a4i a5i b1i MiV Mi b4i b2 Q MiQ b3 b5i 1

(51)

Y X

Mi

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b4iV + b5iQ) Direct effect of X on Y = c' Z W Y Mi W X Statistical Diagram Q eMi b1i V XW a1i a2i a3i MiV MiQ WZ c' Z XZ XWZ b2 b3 b4i b5i a4i a5i a6i a7i V Q eY 1 1

(52)

Y X

Q

i

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ)(b1i + b4iV + b5iQ + b7iVQ)

*Model 47 allows up to 10 mediators operating in parallel

Direct effect of X on Y = c' Y eY 1 Mi W X Statistical Diagram Q eMi b1i V XW a1i a2i a3i VQ MiV MiQ c' MiVQ Z XZ b2 b3 b4i b5i b6i b7i a4i a5i Z 1

(53)

Y X

Q Mi

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ) . (b1i + b4iV + b5iQ + b7iVQ) V Direct effect of X on Y = c' Z W Y eY 1 Mi W X Statistical Diagram Q eMi b1i V XW a1i a2i a3i VQ MiV MiQ WZ c' MiVQ Z XZ XWZ b2 b3 b4i b5i b6i b7i a4i a5i a6i a7i 1

(54)

Mi

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ)(b1i + b4iV + b5iQ)

*Model 49 allows up to 10 mediators operating in parallel

V W Z Statistical Diagram Y eY 1 X W XW V XZ Q Z eMi a1i a2i a3i a4i a5i b1i MiV Mi b4i b2 Q MiQ b3 b5i

Conditional direct effect of X on Y = + c1'+ c4'W+ c5'Z c1' c2' c4' c5' c3' 1

(55)

Mi

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ)(b1i + b2iV + b3iQ)

V W Z Q Y Mi W X Statistical Diagram Q eMi b1i V XW a1i a2i a3i XV XQ MiV MiQ Z XZ b2i b3i a4i a5i eY 1 c1' c2' c3' c4' c5'

Conditional direct effect of X on Y = c1'+ c4'V + c5'Q

(56)

Mi

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b4iV + b5iQ)

*Model 51 allows up to 10 mediators operating in parallel

V Q Y Mi W X Statistical Diagram Q eMi b1i V XW a1i a2i a3i MiV MiQ Z XZ b4i b5i a4i a5i eY 1 c1' c2' c3' c4' c5'

Conditional direct effect of X on Y = c1'+ c4'W + c5'Z + c7'WZ

Z W WZ XWZ b2 b3 a6i a7i c6' c7' 1

(57)

Mi

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b2iV + b3iQ)

Q Y Mi W X Statistical Diagram Q eMi b1i V XW a1i a2i a3i XV XQ Z XZ b2i b3i a4i a5i c1' c2' c3' c4' c5'

Conditional direct effect of X on Y = c1'+ c4'V + c5'Q

Z W WZ XWZ a6i a7i MiV MiQ eY 1 1

(58)

Mi

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ)(b1i + b4iV + b5iQ + b7iVQ) *Model 53 allows up to 10 mediators operating in parallel

Y Mi W X Statistical Diagram Q eMi b1i V XW a1i a2i a3i MiV MiQ Z XZ b4i b5i a4i a5i eY 1 c1' c2' c3' c4' c5'

Conditional direct effect of X on Y = c1'+ c4'W + c5'Z b2 b3 Q V W Z MiVQ VQ b6 b7i 1

(59)

i

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ)(b1i + b2iV + b3iQ + b4iVQ)

Y Mi W X Statistical Diagram Q eMi b1i V XW a1i a2i a3i MiV MiQ Z XZ b2i b3i a4i a5i c1' c2' c3' c4' c6'

Conditional direct effect of X on Y = c1'+ c4'V + c5'Q + c7'VQ

Q Z MiVQ VQ b4i XQ XV XVQ eY 1 c5' c7' 1

(60)

i

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ) . (b1i + b4iV + b5iQ + b7iVQ) *Model 55 allows up to 10 mediators operating in parallel

Statistical Diagram

Conditional direct effect of X on Y = c1'+ c4'W + c5'Z + c7'WZ

Q Z Y Mi W X Q eMi b1i V XW a1i a2i a3i MiV MiQ Z XZ b4i b5i a4i a5i c1' c2' c3' c4' c5' WZ XWZ b2 b3 a6i a7i c6' c7' VQ MiVQ b6 b7i eY 1 1

(61)

i

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ) . (b1i + b2iV + b3iQ + b4iVQ)

Statistical Diagram

Conditional direct effect of X on Y = (c1'+ c4'V + c5'Q + c7'VQ)

Q Z Y Mi W X Q eMi b1i V XW a1i a2i a3i MiV MiQ Z XZ b4i a4i a5i c1' WZ XWZ a6i a7i VQ MiVQ eY 1 XV XQ XVQ c2' c3' c4' c5' c6' c7' b2i b3i 1

(62)

i

Y X

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ) . (b1i + b2iV + b3iQ + b4iVQ)

*Model 57 allows up to 10 mediators operating in parallel

Statistical Diagram

Conditional direct effect of X on Y = (c1'+ c4'W + c5'Z + c7'WZ + c10'V + c11'Q + c13'VQ)

Q Z Y Mi W X Q eMi b1i V XW a1i a2i a3i MiV MiQ Z XZ b4i a4i a5i c1' c2' c3' c4' c5' WZ XWZ a6i a7i c6' c7' VQ MiVQ eY 1 XV XQ XVQ c8' c9' c10' c11' c12' c13' b2i b3i 1

(63)

Y X e Y 1 Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b3iW)

a 1i b1i Mi Y X e Mi 1 W c' Direct effect of X on Y = c' Mi W XW a 2i MiW b 3i b 2 a 3i

(64)

e

Y

1

Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b2iW)

a 1i b1i Mi Y X e Mi 1

Note: Model 59 allows up to 10 mediators operating in parallel. c 1' W XW a 2i MiW b 2i a 3i Mi Y X W c 3' c 2'

Conditional direct effect of X on Y = c1'+ c

(65)

e

Y

1

Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a4iW+ a5iZ)(b1i + b3iW)

a 1i b 1i Mi Y X e Mi 1 c' W XW a 2i MiW b 3i a 3i Mi Y X W Direct effect of X on Y = c' Z Z XZ a 4i a 5i b 2

(66)

e

Y

1

Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a4iW+ a5iZ)(b1i + b2iW)

a 1i b 1i Mi Y X e Mi 1

*Model 61 allows up to 10 mediators operating in parallel c 1' W XW a 2i MiW b 2i a 3i Mi Y X W c 3' c 2'

Conditional direct effect of X on Y = c1'+ c

3'W Z Z XZ a 4i a 5i

(67)

e

Y

1

Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a4iW+ a5iZ)(b1i + b3iW)

a 1i b 1i Mi Y X e Mi 1 W XW a 2i MiW b 3i a 3i Mi Y X W Z Z XZ a 4i a5i b 2 c 1' c 2' c3'

Conditional direct effect of X on Y = c1'+ c

(68)

e

Y

1

Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a4iW+ a5iZ)(b1i + b2iW)

a 1i b 1i Mi Y X e Mi 1

*Model 63 allows up to 10 mediators operating in parallel

W XW a 2i MiW a 3i Mi Y X W Z Z XZ a 4i a5i b 2i c 1' c 2' c 3'

Conditional direct effect of X on Y = c1'+ c

4'W + c5'Z

c

(69)

e

Y

1

Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b4iW + b5iV)

a 1i b1i Mi Y X e Mi 1 c' W XW a 2i b 4i a 3i Mi Y X W Direct effect of X on Y = c' V MiV b 3 b5i V b 2 MiW

(70)

Statistical Diagram

*Model 65 allows up to 10 mediators operating in parallel

Mi

Y X

W

Conditional direct effect of X on Y = c1'+ c

3'W V eY 1 a 1i b1i Mi Y X c 1' W XW a 2i b 3i a 3i c 3' c 2' MiV b 2 b4i V e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b3iW + b4iV) MiW

(71)

Statistical Diagram

Mi

Y X

W

Conditional direct effect of X on Y = c1'+ c

3'V V eY 1 a 1i b1i Mi Y X c 1' W a 2i a 3i c 2' MiV b 4i XW e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b3iW + b4iV)

XV MiW b 3i c 3' b 2 V 1

(72)

Statistical Diagram

*Model 67 allows up to 10 mediators operating in parallel

Mi

Y X

W

Conditional direct effect of X on Y = c1'+ c

3'W + c5'V V e Y 1 a 1i b1i Mi Y X c 1' W a 2i a 3i c2' MiV b 3i XW e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b2iW + b3iV)

XV MiW b 2i c 5' V c 3' c 4' 1

(73)

Y e Y 1 Mi X W Statistical Diagram WZ Z e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b3iW) MiW b 1i b 3i XW XZ XWZ c' Direct effect of X on Y = c' Mi Y X W Z a 1i a 2i a 3i a 4i a 5i a 6i a 7i b 2 1

(74)

*Model 69 allows up to 10 mediators operating in parallel Y e Y 1 Mi X W Statistical Diagram WZ Z e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b2iW) MiW b 1i b 2i XW XZ XWZ c 1' c 2' c 3' c 4' c 5' c 6' c 7'

Conditional direct effect of X on Y = c1'+ c

4'W + c5'Z + c7'WZ Mi Y X W Z a 1i a 2i a 3i a 4i a 5i a 6i a 7i 1

(75)

Y e Y 1 Mi X Statistical Diagram WV W e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b4iW + b5iV + b7iWV)

MiW MiV MiWV b 1i b 2 b 4i b5i XW c' Direct effect of X on Y = c' Mi Y X W V a 1i a 2i a3i V b 3 b 7i b 6 1

(76)

*Model 71 allows up to 10 mediators operating in parallel Y e Y 1 Mi X W Statistical Diagram WV V e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b2iW + b3iV + b4iWV)

MiW MiV MiWV b 1i b 2i b3i b4i XW XV XWV c 1' c 2' c 3' c 4' c 5' c 6' c 7'

Conditional direct effect of X on Y = c1'+ c

4'W + c5'V + c7'WV Mi Y X W V a 1i a 2i a 3i 1

(77)

Y eY 1 Mi X W Statistical Diagram WZ Z e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ) .

(b1i + b4iW + b5iZ + b7iWZ) MiW MiZ MiWZ b 1i b 2 b 3 b4 i XW XZ XWZ c' Direct effect of X on Y = c' Mi Y X W Z a 1i a 2i a 3i a 4i a 5i a 6i a 7i b 5i b 6 b 7i 1

(78)

*Model 73 allows up to 10 mediators operating in parallel Y eY 1 Mi X W Statistical Diagram WZ Z e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ) .

(b1i + b2iW + b3iZ + b4iWZ) MiW MiZ MiWZ b 1i b 2i b3i b4i XW XZ XWZ c 1' c 2' c 3' c 4' c 5' c 6' c 7'

Conditional direct effect of X on Y = c1'+ c

4'W + c5'Z + c7'WZ Mi Y X W Z a 1i a 2i a 3i a 4i a 5i a 6i a 7i 1

(79)

Mi Y X eY 1 Statistical Diagram

Conditional indirect effect of X on Y through Mi = ai (b1i + c2i'X)

a i b1i Mi Y X e Mi 1

Note: Model 74 allows up to 10 mediators operating in parallel. PROCESS does not produce a table of conditional direct effects for model 74. With only one mediator, use

XMi

c

1'

c

2i'

(80)

*Model 75 allows up to 10 mediators operating in parallel Y eY 1 Mi X W Statistical Diagram Z e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ)(b1i + b4iW + b5iZ) MiZ b 1i b 2 b 3 b4 i XW XZ c' Direct effect of X on Y = c' Mi Y X W Z a 1i a 2i a 3i a 4i a 5i b 5i 1 MiW

(81)

Y e Y 1 Mi X W Statistical Diagram Z e Mi

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ)(b1i + b2iW + b3iZ) MiZ b 1i b 2i XW XZ a 1i a 2i a 3i a 4i a 5i b 3i 1 MiW

Conditional direct effect of X on Y = c1'+ c

4'W + c5'Z c 2' c 3' c 4' c 5' c 1' Mi Y X W Z

References

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