The Variances of Regression Coefficient Estimates Using Aggregate Data
This paper considers the effect of aggregation on the variance of parameter estimates for a linear regression model with random coefficients and an additive error term. Aggregate and microvariances are compared and measures of relative efficiency are introduced. Necessary conditions for efficient aggregation procedures are obtained from the Theil aggregation weights and from measures of synchronization related to the work of Grunfeld and Griliches.
|Date of creation:||Oct 1974|
|Date of revision:|
|Publication status:||published as Econometrica, Vol. 44, no. 2 (1976): 353-364.|
|Contact details of provider:|| Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.|
Web page: http://www.nber.org
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- Aigner, Dennis J & Goldfeld, Stephen M, 1974. "Estimation and Prediction from Aggregate Data when Aggregates are Measured More Accurately than Their Components," Econometrica, Econometric Society, vol. 42(1), pages 113-34, January.
- Amemiya, Takeshi, 1971. "The Estimation of the Variances in a Variance-Components Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 12(1), pages 1-13, February.
- Swamy, P A V B, 1970.
"Efficient Inference in a Random Coefficient Regression Model,"
Econometric Society, vol. 38(2), pages 311-23, March.
- Tom Doan, . "SWAMY: RATS procedure to compute a GLS matrix weighted estimator for a panel data set," Statistical Software Components RTS00206, Boston College Department of Economics.
- Swamy, P A V B & Arora, S S, 1972. "The Exact Finite Sample Properties of the Estimators of Coefficients in the Error Components Regression Models," Econometrica, Econometric Society, vol. 40(2), pages 261-75, March.
- Feige, Edgar L & Watts, Harold W, 1972. "An Investigation of the Consequences of Partial Aggregation of Micro-Economic Data," Econometrica, Econometric Society, vol. 40(2), pages 343-60, March.
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