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Re: st: Setting some coefficients to zero in a panel probit regression


From   Nick Baker <[email protected]>
To   [email protected]
Subject   Re: st: Setting some coefficients to zero in a panel probit regression
Date   08 Apr 2013 11:42:16 +0100

Thank you very much for your help Maarten, I have implemented the first part of the method, but am unsure about the second aspect: "Add the lag an interaction term between the indicotor variable and the lagged variable". Do I use the interaction terms as regressors instead of the lagged returns or do I use the sum of the interaction terms and the lagged returns as regressors?

Many thanks for you help,

Nick Baker

On Apr 8 2013, Maarten Buis wrote:

On Sun, Apr 7, 2013 at 4:17 PM, Nick Baker wrote:
I am estimating the model with 12 lagged monthly returns. The coefficients on lagged returns are assumed to be equal across funds, with the exception of those cases where a fund has fewer than 12 historical returns.

In such a case the authors set the coefficients on lagged returns equal to zero if the corresponding return is unobserved.

I am entirely stumped as to how to implement such a procedure in Stata and was wondering if anyone else had encountered a similar problem.

Say the problem is just the 12th lag, then you create an indicator
variable whether or not the lag should be included in your model. Than
replace that lagged variable with any non-missing constant (e.g. 0)
when it should not be included in your model. Add the lag an
interaction term between the indicotor variable and the lagged
variable. The coefficient for the lagged term when it should not be
included in your model is automatically dropped from your model (i.e.
set to 0) because the lagged variable will than be constant and thus
colliniear with the constant. You can easily extend this strategy to
the 11th lag, 10th lag, etc.

However, I don't think this is a good idea. You added 12 lags because
you wanted to adjust your coefficients for 12 lags. Now you get some
mixture of adjusting for 12 lags, 11 lags, 10 lags, etc., so who knows
what your results mean?

Hope this helps,
Maarten

---------------------------------
Maarten L. Buis
WZB
Reichpietschufer 50
10785 Berlin
Germany

http://www.maartenbuis.nl
---------------------------------
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