How to calculate the t-value of the indirect effect

Questions about the implementation and application of the PLS-SEM method, that are not related to the usage of the SmartPLS software.
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teresa750102
PLS Junior User
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Joined: Tue Feb 02, 2010 2:12 am
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How to calculate the t-value of the indirect effect

Post by teresa750102 »

Hi Everybody,

I have one question to calculate the t-value of the indirect effect.

The bootstrap results of my model are in the following.

Original Sample (O) T Statistics (|O/STERR|) Sample Mean (M)
X -> Y 0.13 1.78 0.13
X -> M 0.24 3.09 0.24
M -> Y 0.68 13.47 0.68

Standard Deviation (STDEV) Standard Error (STERR)
X -> Y 0.07 0.07
X -> M 0.08 0.08
M -> Y 0.05 0.05

Based on the formula for the t-test a*b/sd(ai*bi), I know

a*b = 0.24*0.68 = 0.16 in my case.

But I don't know how to calculate the sd(ai*bi).

Does anyone help me explain?

Thank you for you help!!
nayabeyes
PLS Expert User
Posts: 74
Joined: Wed Nov 23, 2011 7:34 am
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Re: How to calculate the t-value of the indirect effect

Post by nayabeyes »

teresa750102 wrote:Hi Everybody,

I have one question to calculate the t-value of the indirect effect.

The bootstrap results of my model are in the following.

Original Sample (O) T Statistics (|O/STERR|) Sample Mean (M)
X -> Y 0.13 1.78 0.13
X -> M 0.24 3.09 0.24
M -> Y 0.68 13.47 0.68

Standard Deviation (STDEV) Standard Error (STERR)
X -> Y 0.07 0.07
X -> M 0.08 0.08
M -> Y 0.05 0.05

Based on the formula for the t-test a*b/sd(ai*bi), I know

a*b = 0.24*0.68 = 0.16 in my case.

But I don't know how to calculate the sd(ai*bi).

Does anyone help me explain?

Thank you for you help!!
Hi,
The bootstrapping sd is equal to the standard error in bootstrapping. Use In the function of STDEV in Microsoft Excel. BR
MURAD ALI, Ph.D
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