Modelos Process

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

M Y X Y b 1 e_Y 1 X D₁ b 2 b_k Statistical Diagram D₁X D_k-1 D_k-1X . . . . . . . . . b k+1 . . . b2k-1 M XM Conditional effect of X on Y = b₁ + b_k+1D_{1 + + b}. . . _2k-1D_2k-1

M Y X Y b 1 e_Y 1 D₁ b k-1 b_k Statistical Diagram b_{1 + bk+1}M b _{+ b} M D₁M D_k-1 D_k-1M . . . . . . . . . b k+1 . . . b2k-1 M XM X Conditional effect of X on Y = . . .

{

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

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

M_i Y X e Y 1 c' Statistical Diagram

Indirect effect of X on Y through Mi = ai bi

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

M_i Y X e Y 1 Statistical Diagram

Relative indirect effect of X on Y through Mi =

a 1 b i M_i Y e Mi 1

Relative direct effect of X on Y =

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

{

{

M_i Y X e Y 1 Statistical Diagram

Indirect effect of X on Y through Mi = ai bi

a i bi M_i 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'

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

Statistical Diagram Y X M₁ M₃ M₂ Y X M₁ M 3 M₂ e_M 3 e Y e_M 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

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 e_M 3 1 e_M 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

M_i Y X e Y 1 c' Statistical Diagram

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

a 1i bi M_i 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

M_i Y X e Y 1 Statistical Diagram

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

a 1i bi M_i 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'

M_i Y X e Y 1 c' Statistical Diagram

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

a 1i bi M_i 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

M_i Y X e_Y 1 Statistical Diagram

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

a 1i bi M_i 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}

Y X Y e Y 1 X W Statistical Diagram XW WZ XZ XWZ Z Z e Mi M_i 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

M_i 1

Y X Y e Y 1 X W Statistical Diagram XW WZ XZ XWZ Z e Mi M_i 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

M_i 1

Y X Y e Y 1 M_i X W Statistical Diagram XW WZ XZ XWZ Z e Mi M_i 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

M_i Y X e Y 1 Statistical Diagram

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

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

M_i Y X e Y 1 Statistical Diagram

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

a i b1i M_i Y X e Mi 1

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

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

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

3'V

c

M_i Y X e_Y 1 Statistical Diagram

Conditional indirect effect of X on Y through M_i = a_i (b_1i + b_4iV + b_5iQ)

a_i b_1i M_i Y X e_Mi 1 Direct effect of X on Y = c' V V M_iV c' b₂ b_4i Q Q M_iQ b₃ b_5i

M_i Y X e_Y 1 Statistical Diagram

Conditional indirect effect of X on Y through M_i = a_i (b_1i + b_2iV + b_3iQ)

a_i b_1i M_i Y X e_Mi 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 M_iV Q Q M_iQ XQ XV b_2i b_3i c₁' c₂' c₃' c₄' c₅'

Y X Y e_Y 1 M_i X V Statistical Diagram VQ Q Q e_Mi M_i c' a_i

Conditional indirect effect of X on Y through M_i = a_i (b_1i + b_4iV + b_5iQ + b_7iVQ)

*Model 18 allows up to 10 mediators operating in parallel

Direct effect of X on Y = c' V M_iV M_iQ M_iVQ b_1i b₂ b₃ b_4i b_5i b_{6 b} 7i 1

*Model 19 allows up to 10 mediators operating in parallel Y X Y e_Y 1 M_i X V Statistical Diagram VQ Q Q e_Mi M_i a_i

Conditional indirect effect of X on Y through M_i = a_i (b_1i + b_2iV + b_3iQ + b_4iVQ)

V M_iV M_iQ M_iVQ b_1i b_2i b_3i b_4i XV XQ XVQ c₁' c₂' c₃' c₄' c₅' c₆' c₇'

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

Y X Y e_Y 1 M_i X V Statistical Diagram VQ Q Q e_Mi M_i a_i

Conditional indirect effect of X on Y through M_i = a_i (b_1i + b_3iV + b_4iQ + b_6iVQ)

*Model 20 allows up to 10 mediators operating in parallel

V M_iV M_iQ M_iVQ b_1i b₂ b₃ b_4i b_5i b_6i XV c₁' c₂' c₃'

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

M_i

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

M_i

Y X

Statistical Diagram

Conditional indirect effect of X on Y through Mi = (a1i + a3iW)(b1i + b3iV) V W e_Y 1 a 1i M_i 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'

M_i

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 e_Y 1 Statistical Diagram a 1i b 1i M_i Y X e Mi 1 W XW a 2i M_iV a 3i Z XZ a 4i a5i b2 c' V b 3i

M_i

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 e_Y 1 Statistical Diagram a 1i b 1i M_i Y X e Mi 1 W XW a 2i M_iV a 3i Z XZ a 4i a5i b 2 V b 3i c 1' c 2' c 3' c 4' c 5'

Y X Y e Y 1 X W Statistical Diagram XW WZ XZ XWZ Z Z e Mi M_i 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 M_iV M_i V b 3i b 2 V 1

Y X Y e Y 1 X W Statistical Diagram XW WZ XZ XWZ Z e Mi M_i 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 M_i M_iV V b 3i b 2 V

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

b

1i 1

Y X Y e Y 1 X W Statistical Diagram XW WZ XZ XWZ Z e Mi M_i 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 M_i M_iV V b 3i b 2 V

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

b

1i 1

M_i Y X e Y 1 Statistical Diagram

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

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

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

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

M_i Y X e Y 1 Statistical Diagram

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

b 1i M_i 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 M_iV V XW a 1i a 2i a 3i c 4' c 3' b2i c 5'

M_i

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

M_i

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 e_Y 1 Statistical Diagram a 1i b 1i M_i Y X e Mi 1 W XW a 2i M_iV a 3i Z XZ a 4i a 5i XV b 2i c 1' c 2' c 3' V c 4' c 5' c6' c7'

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

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

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

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

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

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b2iV) M_iV 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 M_i Y X a 1i a 2i a 3i Z W V V a 4i a 5i a 6i a_7i c 5' c 7' _c 8' c9' 1

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

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b2iV) M_iV 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 M_i Y X a 1i a 2i a 3i Z W V V a 4i a 5i a_6i a_7i 1

Y e_Y 1 M_i W X Statistical Diagram Q e_Mi

Conditional indirect effect of X on Y through M_i = (a_1i + a_3iW)(b_1i + b_4iV + b_5iQ)

*Model 35 allows up to 10 mediators operating in parallel

Direct effect of X on Y = c' M_iV M_iQ b_1i b₂ b₃ b_4i b_5i M_i Y X V Q W V XW c' a_1i a_2i a_3i 1

M_i Y X V Q Y e_Y 1 M_i W X Statistical Diagram Q e_Mi

Conditional indirect effect of X on Y through M_i = (a_1i + a_3iW)(b_1i + b_2iV + b_3iQ) b_1i b_2i b_3i V XW a_1i a_2i a_3i V W M_iV M_iQ XV XQ c₁' c₂' c₃' c₅' c₄'

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

Y X

Q M_i

Conditional indirect effect of X on Y through M_i = (a_1i + a_3iW)(b_1i + b_4iV + b_5iQ + b_7iVQ)

*Model 37 allows up to 10 mediators operating in parallel

Direct effect of X on Y = c' V W Y e_Y 1 M_i W X Statistical Diagram Q e_Mi b_1i b₆ b_7i V XW a_1i a_2i a_3i VQ M_iVQ c' M_iV M_iQ b₂ b₃ b_4i b_5i 1

Y X

Q M_i

Conditional indirect effect of X on Y through M_i = (a_1i + a_3iW)(b_1i + b_2iV + b_3iQ + b_4iVQ)

V W Y e_Y 1 M_i W X Statistical Diagram Q e_Mi b_1i V XW a_1i a_2i a_3i VQ M_iV M_iQ M_iVQ b_2i b_3i b_4i XV XVQ XQ c₁' c₄' c₅' c₂' c₃' c₇'

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

Y X

Q M_i

Conditional indirect effect of X on Y through M_i = (a_1i + a_3iW)(b_1i + b_3iV + b_4iQ + b_6iVQ)

*Model 39 allows up to 10 mediators operating in parallel

V W Y e_Y 1 M_i W X Statistical Diagram VX e_Mi b_1i b_6i V XW a_1i a_2i a_3i VQ M_iVQ M_iV M_iQ b₂ b_3i b_4i b₅ Q c₁' c₂' c₃'

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

Y e_Y 1 M_i W X Statistical Diagram Q e_Mi

Conditional indirect effect of X on Y through M_i = (a_1i + a_3iW)(b_1i + b_4iV + b_5iQ) Conditional direct effect of X on Y = c₁' + c₃'W

M_iV M_iQ b_1i b₂ b₃ b_4i b_5i M_i Y X V Q W V XW a_1i a_2i a_3i c₁' c₂' c₃' 1

M_i

Y X

*Model 41 allows up to 10 mediators operating in parallel

V Q Y e_Y 1 M_i W X Statistical Diagram Q e_Mi

Conditional indirect effect of X on Y through M_i = (a_1i + a_3iW)(b_1i + b_2iV + b_3iQ) b_1i b_2i b_3i V XW a_1i a_2i a_3i V W M_iV M_iQ XV XQ c₁' c₂' c₃' c₇' c₆'

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

c₅'

Y X

Q M_i

Conditional indirect effect of X on Y through M_i = (a_1i + a_3iW)(b_1i + b_4iV + b_5iQ + b_7iVQ)

*Model 42 allows up to 10 mediators operating in parallel

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

V W Y e_Y 1 M_i W X Statistical Diagram Q e_Mi b_1i b_6i b_7i V XW a_1i a_2i a_3i VQ M_iVQ M_iV M_iQ b_2i b_3i b_4i b_5i c₁' c₂' c₃' 1

Y X

Q M_i

Conditional indirect effect of X on Y through M_i = (a_1i + a_3iW)(b_1i + b_2iV + b_3iQ + b_4iVQ)

*Model 43 allows up to 10 mediators operating in parallel

V W Y e_Y 1 M_i W X Statistical Diagram Q e_Mi b_1i V XW a_1i a_2i a_3i VQ M_iV M_iQ M_iVQ b_2i b_3i b_4i 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'

Y X

Q M_i

Conditional indirect effect of X on Y through M_i = (a_1i + a_3iW)(b_1i + b_3iV + b_4iQ + b_6iVQ)

*Model 44 allows up to 10 mediators operating in parallel

V W Y e_Y 1 M_i W X Statistical Diagram VX e_Mi b_1i b_6i V XW a_1i a_2i a_3i VQ M_iVQ M_iV M_iQ b₂ b_3i b_4i b_5i Q c₁' c₄' c₅'

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

c₃'

M_i

Y X

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ)(b_1i + b_4iV + b_5iQ)

*Model 45 allows up to 10 mediators operating in parallel

V W Direct effect of X on Y = c' Z Statistical Diagram Y e_Y 1 X W XW V XZ Q Z e_Mi c' a_1i a_2i a_3i a_4i a_5i b_1i M_iV M_i b_4i b₂ Q M_iQ b₃ b_5i 1

Y X

M_i

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ + a_7iWZ)(b_1i + b_4iV + b_5iQ) Direct effect of X on Y = c' Z W Y M_i W X Statistical Diagram Q e_Mi b_1i V XW a_1i a_2i a_3i M_iV M_iQ WZ c' Z XZ XWZ b₂ b₃ b_4i b_5i a_4i a_5i a_6i a_7i V Q e_Y 1 1

Y X

Q

i

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ)(b_1i + b_4iV + b_5iQ + b_7iVQ)

*Model 47 allows up to 10 mediators operating in parallel

Direct effect of X on Y = c' Y e_Y 1 M_i W X Statistical Diagram Q e_Mi b_1i V XW a_1i a_2i a_3i VQ M_iV M_iQ c' M_iVQ Z XZ b₂ b₃ b_4i b_5i b_6i b_7i a_4i a_5i Z 1

Y X

Q M_i

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ + a_7iWZ) . (b_1i + b_4iV + b_5iQ + b_7iVQ) V Direct effect of X on Y = c' Z W Y e_Y 1 M_i W X Statistical Diagram Q e_Mi b_1i V XW a_1i a_2i a_3i VQ M_iV M_iQ WZ c' M_iVQ Z XZ XWZ b₂ b₃ b_4i b_5i b_6i b_7i a_4i a_5i a_6i a_7i 1

M_i

Y X

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ)(b_1i + b_4iV + b_5iQ)

*Model 49 allows up to 10 mediators operating in parallel

V W Z Statistical Diagram Y e_Y 1 X W XW V XZ Q Z e_Mi a_1i a_2i a_3i a_4i a_5i b_1i M_iV M_i b_4i b₂ Q M_iQ b₃ b_5i

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

M_i

Y X

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ)(b_1i + b_2iV + b_3iQ)

V W Z Q Y M_i W X Statistical Diagram Q e_Mi b_1i V XW a_1i a_2i a_3i XV XQ M_iV M_iQ Z XZ b_2i b_3i a_4i a_5i e_Y 1 c₁' c₂' c₃' c₄' c₅'

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

M_i

Y X

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ + a_7iWZ)(b_1i + b_4iV + b_5iQ)

*Model 51 allows up to 10 mediators operating in parallel

V Q Y M_i W X Statistical Diagram Q e_Mi b_1i V XW a_1i a_2i a_3i M_iV M_iQ Z XZ b_4i b_5i a_4i a_5i e_Y 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 a_6i a7i c₆' c₇' 1

M_i

Y X

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ + a_7iWZ)(b_1i + b_2iV + b_3iQ)

Q Y M_i W X Statistical Diagram Q e_Mi b_1i V XW a_1i a_2i a_3i XV XQ Z XZ b_2i b_3i a_4i a_5i c₁' c₂' c₃' c₄' c₅'

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

Z W WZ XWZ a_6i a7i M_iV M_iQ e_Y 1 1

M_i

Y X

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ)(b_1i + b_4iV + b_5iQ + b_7iVQ) *Model 53 allows up to 10 mediators operating in parallel

Y M_i W X Statistical Diagram Q e_Mi b_1i V XW a_1i a_2i a_3i M_iV M_iQ Z XZ b_4i b_5i a_4i a_5i e_Y 1 c₁' c₂' c₃' c₄' c₅'

Conditional direct effect of X on Y = c₁'+ c₄'W + c₅'Z b₂ b₃ Q V W Z M_iVQ VQ b₆ b_7i 1

i

Y X

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ)(b_1i + b_2iV + b_3iQ + b_4iVQ)

Y M_i W X Statistical Diagram Q e_Mi b_1i V XW a_1i a_2i a_3i M_iV M_iQ Z XZ b_2i b_3i a_4i a_5i c₁' c₂' c₃' c₄' c₆'

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

Q Z M_iVQ VQ b_4i XQ XV XVQ e_Y 1 c₅' c₇' 1

i

Y X

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ + a_7iWZ) . (b_1i + b_4iV + b_5iQ + b_7iVQ) *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 M_i W X Q e_Mi b_1i V XW a_1i a_2i a_3i M_iV M_iQ Z XZ b_4i b_5i a_4i a_5i c₁' c₂' c₃' c₄' c₅' WZ XWZ b₂ b₃ a_6i a7i c₆' c₇' VQ M_iVQ b₆ b_7i e_Y 1 1

i

Y X

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ + a_7iWZ) . (b_1i + b_2iV + b_3iQ + b_4iVQ)

Statistical Diagram

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

Q Z Y M_i W X Q e_Mi b_1i V XW a_1i a_2i a_3i M_iV M_iQ Z XZ b_4i a_4i a_5i c₁' WZ XWZ a_6i a7i VQ M_iVQ e_Y 1 XV XQ XVQ c₂' c₃' c₄' c₅' c₆' c₇' b_2i b_3i 1

i

Y X

Conditional indirect effect of X on Y through M_i = (a_1i + a_4iW + a_5iZ + a_7iWZ) . (b_1i + b_2iV + b_3iQ + b_4iVQ)

*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 M_i W X Q e_Mi b_1i V XW a_1i a_2i a_3i M_iV M_iQ Z XZ b_4i a_4i a_5i c₁' c₂' c₃' c₄' c₅' WZ XWZ a_6i a7i c₆' c₇' VQ M_iVQ e_Y 1 XV XQ XVQ c₈' c₉' c₁₀' c₁₁' c₁₂' c₁₃' b_2i b_3i 1

Y X e Y 1 Statistical Diagram

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

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

e

Y

1

Statistical Diagram

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

a 1i b1i M_i Y X e Mi 1

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

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

e

Y

1

Statistical Diagram

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

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

e

Y

1

Statistical Diagram

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

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

*Model 61 allows up to 10 mediators operating in parallel c 1' W XW a 2i M_iW b 2i a 3i M_i 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

e

Y

1

Statistical Diagram

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

a 1i b 1i M_i Y X e Mi 1 W XW a 2i M_iW b 3i a 3i M_i 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}

e

Y

1

Statistical Diagram

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

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

*Model 63 allows up to 10 mediators operating in parallel

W XW a 2i M_iW a 3i M_i 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

e

Y

1

Statistical Diagram

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

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

Statistical Diagram

*Model 65 allows up to 10 mediators operating in parallel

M_i

Y X

W

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

3'W V e_Y 1 a 1i b1i M_i Y X c 1' W XW a 2i b 3i a 3i c 3' c 2' M_iV b 2 b4i V e Mi

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

Statistical Diagram

M_i

Y X

W

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

3'V V e_Y 1 a 1i b1i M_i Y X c 1' W a 2i a 3i c 2' M_iV b 4i XW e Mi

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

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

Statistical Diagram

*Model 67 allows up to 10 mediators operating in parallel

M_i

Y X

W

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

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

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

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

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

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

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

Conditional indirect effect of X on Y through Mi = (a1i + a4iW + a5iZ + a7iWZ)(b1i + b2iW) M_iW 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 M_i Y X W Z a 1i a 2i a 3i a 4i a 5i a 6i a 7i 1

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

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

M_iW M_iV M_iWV b 1i b 2 b 4i b5i XW c' Direct effect of X on Y = c' M_i Y X W V a 1i a 2i a3i V b 3 b 7i b 6 1

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

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

M_iW M_iV M_iWV 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 M_i Y X W V a 1i a 2i a 3i 1

Y e_Y 1 M_i 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) M_iW M_iZ M_iWZ b 1i b 2 b 3 b₄ i XW XZ XWZ c' Direct effect of X on Y = c' M_i 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

*Model 73 allows up to 10 mediators operating in parallel Y e_Y 1 M_i 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) M_iW M_iZ M_iWZ 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 M_i Y X W Z a 1i a 2i a 3i a 4i a 5i a 6i a 7i 1

M_i Y X e_Y 1 Statistical Diagram

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

a i b1i M_i 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

XM_i

c

1'

c

2i'

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

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

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

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

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

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