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# Re: st: eivreg and interactions

 From John Antonakis To statalist@hsphsun2.harvard.edu Subject Re: st: eivreg and interactions Date Thu, 29 Nov 2012 17:25:15 +0100

```Hi Alim:

```
No; it doesn't. If you see the output after running the model, eivreg will assume a perfect reliability for the interaction (1.00) if you do what you suggest below.
```
```
You need manually construct the interaction and then manually specify the reliability.
```
For the formula of the reliability of the x*z interaction and given:

Reliability of x = relx
Reliability of z = relz
Correlation of xz =rxz

Reliability of x*z = ((relx *relz )+rxz^2)/(1+rxz^2)

For background on this formula see:

```
Busemeyer, J. R. and L. E. Jones (1983). "Analysis of Multiplicative Combination Rules When the Causal Variables Are Measured with Error." Psychological Bulletin 93(3): 549-562.
```
HTH,
J.

__________________________________________

Prof. John Antonakis
Department of Organizational Behavior
University of Lausanne
Internef #618
CH-1015 Lausanne-Dorigny
Switzerland
Tel ++41 (0)21 692-3438
Fax ++41 (0)21 692-3305
http://www.hec.unil.ch/people/jantonakis

Associate Editor
__________________________________________

On 29.11.2012 00:53, 'Alim Beveridge wrote:
> hello,
>
> if i do the following:
> eivreg y c.x1##c.x2 , reliab(x1 .93 x2 .85)
> will stata calculate the reliability of the interaction term and use
```
it to adjust the estimate for its coefficient, or will it assume that the interaction term has reliability 1.0? anyone know the answer?
```> thanks,
> 'Alim
>
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```