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Lagged Dependent Variables and Reality: Did You Specify that Autocorrelation a priori?

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Abstract:

Recent work in time series analysis emphasizes the importance of omitted exogenous variables as a cause of autocorrelation. While autocorrelation by itself does not affect point estimates, then, the omitted variables driving it may introduce substantial bias in the estimates of coefficients on included exogenous variables. This suggests that analysts correcting for autocorrelation should consider not only the effects on estimated standard errors, but also the extent to which the correction technique mitigates omitted variables bias. In this paper, I show that in the case of an omitted contemporaneous explanatory variable, the coefficients estimated from Ordinary Least Squares (OLS) and Newey-West methods are biased. If the omitted variable is strongly autocorrelated, which is typically the case, a lagged dependent variable (LDV) can be a good proxy for the omitted variable -- even if the omitted variable is unknown and/or unmeasurable -- and the LDV therefore mitigates the specification bias. Concerns that addressing
autocorrelation by adding a LDV results in attenuated coefficient(s) on the variable(s) of interest, then, have the
problem reversed: the LDV estimate is less biased than the OLS
estimate.

Most Common Document Word Stems:

1 (156), yt (85), variabl (80), estim (78), xt (68), autocorrel (67), 2 (57), model (55), cient (51), zt (51), coe (49), lag (49), ldv (47), error (40), 0 (36), speci (35), omit (33), cation (31), term (29), ol (25), gls (24),

Author's Keywords:

LDV, lagged dependent variables, autocorrelation, time series, GLS, Newey-West
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Name: American Political Science Association
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MLA Citation:

Baker, Regina. "Lagged Dependent Variables and Reality: Did You Specify that Autocorrelation a priori?" Paper presented at the annual meeting of the American Political Science Association, Hyatt Regency Chicago and the Sheraton Chicago Hotel and Towers, Chicago, IL, Aug 30, 2007 <Not Available>. 2011-06-08 <http://www.allacademic.com/meta/p209695_index.html>

APA Citation:

Baker, R. M. , 2007-08-30 "Lagged Dependent Variables and Reality: Did You Specify that Autocorrelation a priori?" Paper presented at the annual meeting of the American Political Science Association, Hyatt Regency Chicago and the Sheraton Chicago Hotel and Towers, Chicago, IL Online <APPLICATION/PDF>. 2011-06-08 from http://www.allacademic.com/meta/p209695_index.html

Publication Type: Conference Paper/Unpublished Manuscript
Abstract: Recent work in time series analysis emphasizes the importance of omitted exogenous variables as a cause of autocorrelation. While autocorrelation by itself does not affect point estimates, then, the omitted variables driving it may introduce substantial bias in the estimates of coefficients on included exogenous variables. This suggests that analysts correcting for autocorrelation should consider not only the effects on estimated standard errors, but also the extent to which the correction technique mitigates omitted variables bias. In this paper, I show that in the case of an omitted contemporaneous explanatory variable, the coefficients estimated from Ordinary Least Squares (OLS) and Newey-West methods are biased. If the omitted variable is strongly autocorrelated, which is typically the case, a lagged dependent variable (LDV) can be a good proxy for the omitted variable -- even if the omitted variable is unknown and/or unmeasurable -- and the LDV therefore mitigates the specification bias. Concerns that addressing
autocorrelation by adding a LDV results in attenuated coefficient(s) on the variable(s) of interest, then, have the
problem reversed: the LDV estimate is less biased than the OLS
estimate.

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Document Type: application/pdf
Page count: 30
Word count: 5774
Text sample:
Lagged Dependent Variables and Reality: Did you specify that autocorrelation ` priori? a Regina M. Baker∗ ‡ † Department of Political Science University of Oregon genie@uoregon.edu August 27 2007 Abstract Recent work in time series analysis emphasizes the importance of omitted exogenous variables as a cause of autocorrelation. While auto- correlation by itself does not affect point estimates then the omitted variables driving it may introduce substantial bias in the estimates of coefficients on included exogenous variables. This suggests
as a convenient simplification not a nuisance: A comment on a study of the demand for money by the Bank of England.” Economic Journal 88: 549-563. 29 Hibbs Douglas (1974) “Problems of Statistical Estimation and Causal Inference in Time-Series Regression Models.” In Sociological Methodology 1973-1974 H. Costner ed. pp. 252-308. Johnston Jack and John DiNardo (1997) Econometric Methods 4th ed. NY: McGraw-Hill. Keele Luke J. and Nathan J. Kelly (2006) “Dynamic Models for Dynamic Theories: The Ins and Outs


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