Cross Validated
2023-06-24 11:52 UTC
By Alex
AI-113-20230624-social-media-a5d92535
The percentage of the total effect that occurs through the indirect effects and direct effect
How to measure the percentage of the total effect that occurs through the indirect effects (i.e.,5.1%, 18.8%) and direct effect (i.e., 76.0%)? For below figure, In this figure, HFT is the independent variable, Liquidity comovement is the dependent variable, Liquidity and Volitality are the mediator variables. According to my understanding, Liquidity comovement=β5×HFT+β3×Liquidity+β4×IVoL+e Liquidity comovement=β5×HFT+β3(β1×HFT+e)+β4(β2×HFT+e)+e Liquidity comovement=β5×HFT+β1β3×HFT+β2β4×HFT+e Liquidity comovement=(β5+β1β3+β2β4)HFT+e and thus, I suppose that Indirect effect of Liquidity= β1β3/(β5+β1β3+β2β4)=(3.26×213.07)/(10.27+3.26×213.07+1431×1.78)=21.36% Indirect effect of Volatility= β2β4/(β5+β1β3+β2β4)=(1431×1.78)/(10.27+3.26×213.07+1431×1.78)=78.33% Direct effect of HFT= β5/(β5+β1β3+β2β4)= 0.387/(10.27+3.26×213.07+1431×1.78)=0.32% However, my results are different from the percentage in the Figure. May I ask where I was wrong and how to get this percentage?Any help is appreciated. Source of the Figure: https://www.sciencedirect.com/science/article/pii/S0304405X19300832?casa_token=rZ9cPnhMxc8AAAAA:_UXLAjwRqgpzExN8Y7pjkVn5BYKw03HRWZrIjjF739HGA5lCyNEpidv3Z1UQllL0v2aA1QK6xN8
How to measure the percentage of the total effect that occurs through the indirect effects (i.e.,5.1%, 18.8%) and direct effect (i.e., 76.0%)? For below figure, In this figure, HFT is the independent variable, Liquidity comovement is the dependent variable, Liquidity and Volitality are the mediator variables. According to my understanding, Liquidity comovement=β5×HFT+β3×Liquidity+β4×IVoL+e Liquidity comovement=β5×HFT+β3(β1×HFT+e)+β4(β2×HFT+e)+e Liquidity comovement=β5×HFT+β1β3×HFT+β2β4×HFT+e Liquidity comovement=(β5+β1β3+β2β4)HFT+e and thus, I suppose that Indirect effect of Liquidity= β1β3/(β5+β1β3+β2β4)=(3.26×213.07)/(10.27+3.26×213.07+1431×1.78)=21.36% Indirect effect of Volatility= β2β4/(β5+β1β3+β2β4)=(1431×1.78)/(10.27+3.26×213.07+1431×1.78)=78.33% Direct effect of HFT= β5/(β5+β1β3+β2β4)= 0.387/(10.27+3.26×213.07+1431×1.78)=0.32% However, my results are different from the percentage in the Figure. May I ask where I was wrong and how to get this percentage?Any help is appreciated. Source of the Figure: https://www.sciencedirect.com/science/article/pii/S0304405X19300832?casa_token=rZ9cPnhMxc8AAAAA:_UXLAjwRqgpzExN8Y7pjkVn5BYKw03HRWZrIjjF739HGA5lCyNEpidv3Z1UQllL0v2aA1QK6xN8
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Cross Validated
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