# Re: st: Reference for test of incremental R-square

 From "Alan Neustadtl" To statalist@hsphsun2.harvard.edu Subject Re: st: Reference for test of incremental R-square Date Wed, 12 Nov 2008 22:35:12 -0500

```I like the chapter in _Applied Linear Regression Models_ by Neter,
Kutner, Nachtsheim, and Wasserman on understanding and calculating
"extra sums of squares".  This is the basis for a difference in
r-squared test.  I think looking at -help nestreg- will be useful.

Best,
Alan

2008/11/12 SM <sermorr@gmail.com>:
> Hi ,
>
> I have to compare the following (nested/ hierarchical?) models in
> order to test whether  the variables included in second model
> significantly increase the goodness of fit.
>
> 1)  Y = α0 + α1 BV + α2NI + ε
> 2)  Y = ß0 + ß1 BV + ß2 NI + ß3  TANG + ε
>
> My questions are the following:
>
> I. It's not clear to me the difference between nested and hierarchical
> regressions. Is defined hierarchical a regression in which I simply
> add new variables ? If it so, my models (1-2) should be hierarchical.
> Conversely, is nested model a regression in which I decompose the
> components of a variable? For example, if I add a third model, in
> which TANG is decomposed in  TANG1 TANG2 TANG3.
>
>   3) Y = g0 + g1 BV + g2 NI + g3  TANG1+ g4 TANG2+ g5TANG3+ ε
>
> II.   In order to test whether the goodness of fit of 2 model
> significantly increases, I employ the following test, found in
> econometric textbook (considering model 2 = full model):
>
>    Δ R2/ Δdf       = F (Δ R2  , df full)
> (1-  R2full)/df full
>
> Is it correct ??  Can you give me some specific reference on this test ?
>
> III. In Cox's book "A gentle introduction to Stata" page 216, test of
> semipartial correlation of variables is performed  by pcorr2. Even if
> the author suggests to install it with findit pcorr2, I am not able to
> find the program anywhere. Can anybody suggest how can I install it
> ???
>
> Thanks so much.
>
> Kind Regards,
>
> Serena
>
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```