<blockquote>
<p>Usually, would one lag the independent variable?</p>
</blockquote>
<p>If you are dealing with panel time series you will almost always want to include lags (even alongside contemporaneous variable) to explicitly model short run dynamics. Ideally you would want to set up model where there is no autocorrelation in an error term as that can be viewed as an indication that your model is not properly dynamically specified.</p>
<p>You can use lags to deal with endogeneity, however in most cases people would use lags as an instrument rather than getting rid of contemporaneous variable. However, you could do that and estimate a 'reduced form' model with just a lag instead, although you should in such case probably make some justification for doing so as people will probably have questions about that. There are also some other models that might be suited more to panel time series data with endogeneity such as panel VAR models (e.g. see Canova and <a href="https://www.ecb.europa.eu/pub/pdf/scpwps/ecbwp1507.pdf" rel="nofollow noreferrer">Ciccarelli 2013</a> for survey of these models). Generally speaking people in macro do not typically just use standard fixed/two-way effects models for panel time series data as such models are more suited to situations where N&gt;T.</p>
<p>Claiming there is delayed effect is not sufficient justification to only include lagged variable. Even if contemporaneous variable will turn out not to be significant including one extra variable will have only marginal effect on power of the test whereas excluding it could lead to omitted variable bias. Moreover, if you work with lets say yearly data such explanation would be much less justifiable then if you work with lets say monthly data.</p>
<blockquote>
<p>Usually, would one control for previous values of the dependent variable?</p>
</blockquote>
<p>Yes, this is actually quite important to do if you believe lagged dependent variable does/should affect current values of dependent variable. However, in such case you need to make sure you get the short run dynamics right and your model won't have any autocorrelation in residuals, since getting this wrong will make the parameter estimates inconsistent and you won't be able to save the model just by using some autocorrelation consistent errors (see Verbeek's Guide To Modern Econometrics pp 126).</p>

CC BY-SA 4.0
2023-03-12T08:42:49.257Z
Pp 126 of which edition?
Richard Hardy
CC BY-SA 4.0
2023-03-12T11:15:27.513Z
@RichardHardy 4th
1muflon1
CC BY-SA 4.0
2023-03-12T11:38:31.980Z
Could you perhaps include the title of the section to which pp. 126 belongs? Then it would be easier to find in other editions. Thanks!
Richard Hardy
CC BY-SA 4.0
2023-03-12T11:50:23.637Z
@RichardHardy there is chapter on when OLS estimator cannot be saved, its in the part talking about endogeneity
1muflon1
CC BY-SA 4.0
2023-03-12T14:53:51.353Z
Thanks, found it. It is section 5.2 *Cases Where the OLS Estimator Cannot Be Saved* in the 5th edition, and it starts on pp. 143.
Richard Hardy
CC BY-SA 4.0
2023-03-12T14:55:31.830Z
thanks, in the version I have its 126
1muflon1
CC BY-SA 4.0
2023-03-10T23:19:42.283Z
2023-03-10T23:19:42.283Z
1muflon1
<p>Suppose that one wishes to find out the impact of some variable (e.g. the money supply) on GDP using panel data. I have two questions about this:</p>
<ol>
<li><p>Usually, would one lag the independent variable (e.g. look at the effect of the money supply this year on GDP next year)? To me, this seems like a good idea, both to reduce worries about reverse causality and also to allow for some time for effects to operate.</p>
</li>
<li><p>Usually, would one control for previous values of the dependent variable (e.g. controlling for last year's money supply)? I imagine that this would greatly improve the model's ability to predict future values, but I have some recollection that this can also bias results.</p>
</li>
</ol>
<p>Thanks in advance for any suggestions.</p>

<paneldata>
Lags in the context of panel data
afreelunch
# Lags in the context of panel data

(Asked by: username_0 on 2023-03-10)

Suppose that one wishes to find out the impact of some variable (e.g. the money supply) on GDP using panel data. I have two questions about this:

1. Usually, would one lag the independent variable (e.g. look at the effect of the money supply this year on GDP next year)? To me, this seems like a good idea, both to reduce worries about reverse causality and also to allow for some time for effects to operate.
2. Usually, would one control for previous values of the dependent variable (e.g. controlling for last year's money supply)? I imagine that this would greatly improve the model's ability to predict future values, but I have some recollection that this can also bias results.

Thanks in advance for any suggestions.

**Tags:** paneldata


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## 1 answers

### Answer by username_1 on 2023-03-10. Score: 1 | Accepted answer

> Usually, would one lag the independent variable?

If you are dealing with panel time series you will almost always want to include lags (even alongside contemporaneous variable) to explicitly model short run dynamics. Ideally you would want to set up model where there is no autocorrelation in an error term as that can be viewed as an indication that your model is not properly dynamically specified.

You can use lags to deal with endogeneity, however in most cases people would use lags as an instrument rather than getting rid of contemporaneous variable. However, you could do that and estimate a 'reduced form' model with just a lag instead, although you should in such case probably make some justification for doing so as people will probably have questions about that. There are also some other models that might be suited more to panel time series data with endogeneity such as panel VAR models (e.g. see Canova and [Ciccarelli 2013](https://www.ecb.europa.eu/pub/pdf/scpwps/ecbwp1507.pdf) for survey of these models). Generally speaking people in macro do not typically just use standard fixed/two-way effects models for panel time series data as such models are more suited to situations where N>T.

Claiming there is delayed effect is not sufficient justification to only include lagged variable. Even if contemporaneous variable will turn out not to be significant including one extra variable will have only marginal effect on power of the test whereas excluding it could lead to omitted variable bias. Moreover, if you work with lets say yearly data such explanation would be much less justifiable then if you work with lets say monthly data.

> Usually, would one control for previous values of the dependent variable?

Yes, this is actually quite important to do if you believe lagged dependent variable does/should affect current values of dependent variable. However, in such case you need to make sure you get the short run dynamics right and your model won't have any autocorrelation in residuals, since getting this wrong will make the parameter estimates inconsistent and you won't be able to save the model just by using some autocorrelation consistent errors (see Verbeek's Guide To Modern Econometrics pp 126).

> **Comments:**
> **username_2**: Pp 126 of which edition?  
> **username_1**: @RichardHardy 4th  
> **username_2**: Could you perhaps include the title of the section to which pp. 126 belongs? Then it would be easier to find in other editions. Thanks!  
> **username_1**: @RichardHardy there is chapter on when OLS estimator cannot be saved, its in the part talking about endogeneity  
> **username_2**: Thanks, found it. It is section 5.2 *Cases Where the OLS Estimator Cannot Be Saved* in the 5th edition, and it starts on pp. 143.  
> **username_1**: thanks, in the version I have its 126  

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