Skip to main content

Pooling Time-Series of Cross-Section Data

  • Chapter
  • First Online:
Econometrics

Part of the book series: Classroom Companion: Economics ((CCE))

  • 2362 Accesses

Abstract

In this chapter, we will consider pooling time-series of cross-sections. This may be a panel of households or firms or simply countries or states followed over time. Two well-known examples of micro panel data in the U.S. are the Panel Study of Income Dynamics (PSID) and the National Longitudinal Survey (NLS). These are characterized by a large number of households N observed over a finite number of time periods T. The PSID began in 1968 with 4802 families, including an over-sampling of poor households. Annual interviews were conducted and socioeconomic characteristics of each of the families and of roughly 31,000 individuals who have been in these or derivative families were recorded. The list of variables collected is over 5000. The NLS followed five distinct segments of the labor force. The original samples include 5020 older men, 5225 young men, 5083 mature women, 5159 young women, and 12, 686 youths. There was an over-sampling of blacks, hispanics, poor whites, and military in the youth survey. The list of variables collected runs into the thousands. In contrast to micro panel surveys, one can use macro panels for countries over time. These have to be expressed in the same currency and in real terms. This can be done using the Penn World Table (PWT), which provides purchasing power parity and national income accounts converted to international prices. The World Bank provides World Development Indicators (WDI), and the International Monetary Fund provides World Economic Outlook Databases and International Financial Statistics. In this chapter we will focus on dealing with the econometrics of micro panels characterized with large N and short T and refer the reader to Baltagi (Econometric Analysis of Panel Data (Wiley: Chichester), 2013) for a more extensive treatment of panel data.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 69.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Change history

  • 01 January 2022

    A correction has been published.

References

  • Abrevaya, J. (2006), “Estimating the effect of smoking on birth outcomes using a matched panel data approach,” Journal of Applied Econometrics, 21: 489–519.

    Google Scholar 

  • Ahn, S.C. and P. Schmidt (1995), “Efficient Estimation of Models for Dynamic Panel Data,” Journal of Econometrics, 68: 5–27.

    Google Scholar 

  • Amemiya, T. (1971), “The Estimation of the Variances in a Variance-Components Model,” International Economic Review, 12: 1–13.

    Google Scholar 

  • Anderson, T.W. and C. Hsiao (1982), “Formulation and Estimation of Dynamic Models Using Panel Data, Journal of Econometrics, 18: 47–82.

    Google Scholar 

  • Arellano, M. (1989), “A Note on the Anderson-Hsiao Estimator for Panel Data,” Economics Letters, 31: 337–341.

    Google Scholar 

  • Arellano, M. and S. Bond (1991), “Some Tests of Specification for Panel Data: Monte Carlo Evidence and An Application to Employment Equations,” Review of Economic Studies , 58: 277–297.

    Google Scholar 

  • Balestra, P. (1973), “Best Quadratic Unbiased Estimators of the Variance-Covariance Matrix in Normal Regression,” Journal of Econometrics, 2: 17–28.

    Google Scholar 

  • Baltagi, B.H. (1981), “Pooling: An Experimental Study of Alternative Testing and Estimation Procedures in a Two-Way Errors Components Model,” Journal of Econometrics, 17: 21–49.

    Google Scholar 

  • Baltagi, B.H. (1996), “Heteroskedastic Fixed Effects Models,” Problem 96.5.1, Econometric Theory, 12: 867.

    Google Scholar 

  • Baltagi, B.H. (1999), “The Relative Efficiency of the Between Estimator with Respect to the Within Estimator,” Problem 99.4.3, Econometric Theory, 15: 630–631.

    Google Scholar 

  • Baltagi, B.H. (2013), “Panel Data Forecasting,” Chapter 18 in the Handbook of Economic Forecasting, Vol. 2B, eds by G. Elliott, A. Timmermann, North Holland, Amsterdam, 995–1024.

    Google Scholar 

  • Baltagi, B.H. (2021), Econometric Analysis of Panel Data (Springer, Switzerland).

    Google Scholar 

  • Baltagi, B.H. and J.M. Griffin (1983), “Gasoline Demand in the OECD: An Application of Pooling and Testing Procedures,” European Economic Review, 22: 117–137.

    Google Scholar 

  • Baltagi, B.H., J.M. Griffin and W. Xiong (2000), “To Pool or Not to Pool: Homogeneous Versus Heterogeneous Estimators Applied to Cigarette Demand,” Review of Economics and Statistics, 82: 117–126.

    Google Scholar 

  • Baltagi, B.H. and W. Krämer (1994), “Consistency, Asymptotic Unbiasedness and Bounds on the Bias of s2 in the Linear Regression Model with Error Components Disturbances,” Statistical Papers, 35: 323–328.

    Google Scholar 

  • Breusch, T.S. (1987), “Maximum Likelihood Estimation of Random Effects Models,” Journal of Econometrics , 36: 383–389.

    Google Scholar 

  • Breusch, T.S. and A.R. Pagan (1980), “The Lagrange Multiplier Test and its Applications to Model Specification in Econometrics,” Review of Economic Studies, 47: 239–253.

    Google Scholar 

  • Card, D. (1990), “The Impact of the Mariel Boat Lift on the Miami Labor Market,” Industrial and Labor Relations Review, 43: 245–253.

    Google Scholar 

  • Chow, G.C. (1960), “Tests of Equality Between Sets of Coefficients in Two Linear Regressions,” Econometrica, 28: 591–605.

    Google Scholar 

  • Cornwell, C. and W.N. Trumbull (1994), “Estimating the Economic Model of Crime with Panel Data,” Review of Economics and Statistics 76: 360–366.

    Google Scholar 

  • Evans, M.A. and M.L. King (1985), “Critical Value Approximations for Tests of Linear Regression Disturbances,” Australian Journal of Statistics, 27: 68–83.

    Google Scholar 

  • Fisher, F.M. (1970), “Tests of Equality Between Sets of Coefficients in Two Linear Regressions: An Expository Note,” Econometrica, 38: 361–366.

    Google Scholar 

  • Fuller, W.A. and G.E. Battese (1974), “Estimation of Linear Models with Cross-Error Structure,” Journal of Econometrics, 2: 67–78.

    Google Scholar 

  • Goldberger, A.S. (1962), “Best Linear Unbiased Prediction in the Generalized Linear Regression Model,” Journal of the American Statistical Association, 57: 369–375.

    Google Scholar 

  • Graybill, F.A. (1961), An Introduction to Linear Statistical Models (McGraw-Hill: New York).

    Google Scholar 

  • Hansen, L.P. (1982), “Large Sample Properties of Generalized Method of Moments Estimators,” Econometrica, 50: 1029–1054.

    Google Scholar 

  • Hausman, J.A. (1978), “Specification Tests in Econometrics,” Econometrica, 46: 1251–1271.

    Google Scholar 

  • Honda, Y. (1985), “Testing the Error Components Model with Non-Normal Disturbances,” Review of Economic Studies, 52: 681–690.

    Google Scholar 

  • Hsiao, C. (2003), Analysis of Panel Data (Cambridge University Press: Cambridge).

    Google Scholar 

  • Judge, G.G., W.E. Griffiths, R.C. Hill, H. Lutkepohl and T.C. Lee (1985), The Theory and Practice of Econometrics (Wiley: New York).

    Google Scholar 

  • Kiviet, J.F. and W. Krämer (1992), “Bias of s2 in the Linear Regression Model with Correlated Errors,” Empirical Economics, 16: 375–377.

    Google Scholar 

  • Maddala, G.S. (1971), “The Use of Variance Components Models in Pooling Cross Section and Time Series Data,” Econometrica, 39: 341–358.

    Google Scholar 

  • Maddala, G.S. and T.D. Mount (1973), “A Comparative Study of Alternative Estimators for Variance Components Models Used in Econometric Applications,” Journal of the American Statistical Association, 68: 324–328.

    Google Scholar 

  • Moulton, B.R. and W.C. Randolph (1989), “Alternative Tests of the Error Components Model,” Econometrica , 57: 685–693.

    Google Scholar 

  • Munnell, A. (1990), “How does public infrastructure affect regional economic performance?,” New England Economic Review 3–22.

    Google Scholar 

  • Nickell, S. (1981), “Biases in Dynamic Models with Fixed Effects,”Econometrica, 49: 1417–1426.

    Google Scholar 

  • Ruhm, C.J. (1996), “Alcohol Policies and Highway Vehicle Fatalities,” Journal of Health Economics, 15: 435–454.

    Google Scholar 

  • Searle, S.R. (1971), Linear Models (Wiley: New York).

    Google Scholar 

  • Sargan, J.D. (1958), “The Estimation of Economic Relationships Using Instrumental Variables,” Econometrica, 26: 393–415.

    Google Scholar 

  • Stock, J.H. and M.W. Watson (2003), Introduction to Econometrics (Addison Wesley: Boston).

    Google Scholar 

  • Swamy, P.A.V.B. and S.S. Arora (1972), “The Exact Finite Sample Properties of the Estimators of Coefficients in the Error Components Regression Models,” Econometrica, 40: 261–275.

    Google Scholar 

  • Taub, A.J. (1979), “Prediction in the Context of the Variance-Components Model,” Journal of Econometrics, 10: 103–108.

    Google Scholar 

  • Taylor, W.E. (1980), “Small Sample Considerations in Estimation from Panel Data,” Journal of Econometrics, 13: 203–223.

    Google Scholar 

  • Wallace, T.D. and A. Hussain (1969), “The Use of Error Components Models in Combining Cross-Section and Time-Series Data,” Econometrica, 37: 55–72.

    Google Scholar 

  • Wansbeek, T.J. and A. Kapteyn (1978), “The Separation of Individual Variation and Systematic Change in the Analysis of Panel Data,” Annales de l’INSEE, 30–31: 659–680.

    Google Scholar 

  • Wansbeek, T.J. and A. Kapteyn (1982), “A Simple Way to Obtain the Spectral Decomposition of Variance Components Models for Balanced Data,” Communications in Statistics All, 2105–2112.

    Google Scholar 

  • Wansbeek, T.J. and A. Kapteyn, (1989), “Estimation of the error components model with incomplete panels,” Journal of Econometrics 41: 341–361.

    Google Scholar 

  • Wooldridge, J.M. (2010), Econometric Analysis of Cross-Section and Panel Data (MIT Press, Massachusetts).

    Google Scholar 

  • Zellner, A. (1962), “An Efficient Method of Estimating Seemingly Unrelated Regression and Tests for Aggregation Bias,” Journal of the American Statistical Association, 57: 348–368.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Badi H. Baltagi .

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Cite this chapter

H. Baltagi, B. (2021). Pooling Time-Series of Cross-Section Data. In: Econometrics. Classroom Companion: Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-80149-6_12

Download citation

Publish with us

Policies and ethics