Abstract
A new panel data model for count data is introduced. We suggest alternative estimators, such as pseudo maximum likelihood and generalized method of moments, of structural and nuisance parameters. In addition, different test statistics of independence and overdispersion are obtained. The small sample performance of the estimators and tests are evaluated in Monte Carlo experiments. The model is applied to the number of days absent in Sweden 1981–1991 for a panel of Swedish male workers.
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References
Ahn, S.G. and Schmidt, P. (1995). A Separability Result for GMM Estimation with Applications to GLS Prediction and Conditional Moment Tests.Econometric Reviews 14, 19–34.
Allen, S.G. (1981a). An Empirical Model of Work Attendance.Review of Economics and Statistics 63, 77–87.
Allen, S.G. (1981b). Compensation, Safety, and Absenteeismm: Evidence from the Paper Industry.Industrial and Labor Relations Review 34, 207–18.
Barmby, T.A., Orme, C.D. and Treble, J.G. (1981). Worker Absenteeism: An Analysis using Micro Data.Economic Journal 101, 214–229.
Brännäs, K. and Johansson, P. (1994). Time Series Count Data Regression.Communications in Statistics: Theory and Methods 23, 2907–2925.
Cameron, A.C. and Trivedi, P.K. (1993). Tests of Independence in Parametric Models: With Applications and Illustrations.Journal of Business & Economic Statistics 11, 29–43.
Davidson, R. and MacKinnon, J.G. (1993).Estimation and Inference in Econometrics. Oxford University Press, Oxford.
Delgado, M.A. and Kniesner, T.J. (1992). Semiparametric versus Parametric Count-Data Models—Econometric Considerations and Estimates of a Hedonic-Equilibrium Model of Worker Absenteeism. Mimeo, Indiana University, Bloomington.
Dunn, L.F. and Youngblood, S.A. (1986). Absenteeism as a Mechanism for Approaching an Optimal Labor Market Equilibrium: An Empirical Study.The Review of Economics and Statistics 68, 668–674.
Fichman, M. (1984). A Theoretical Approach to Understanding Employee Absence. InAbsenteeism (P.S. Goodman and R.S. Atkin, eds.) 1–46. Jossey-Bass Inc. Publisher, San Francisco.
Hall, A. (1993). Some Aspects of Generalized Method of Moments Estimation. InHandbook of Statistics (G.S. Maddala, C.R. Rao and H.D. Vinod, eds.) 393–417. North Holland, Amsterdam.
Hansen, L.P. (1982). Large Sample Properties of Generalized Method of Moment Estimators.Econometrica 50, 1029–1054.
Hausman, J.A., Hall, B.H. and Griliches, Z. (1984). Econometric Models for Count Data with an Application to the Patents—R&D Relationship.Econometrica 52, 909–938.
Harvey, A.C. and Fernandez, C. (1989). Time Series for Count Data or Qualitative observations.Journal of Business & Economic Statistic 7, 407–417.
Johansson, P. (1995). Tests for Serial Correlation and Overdispersion in a Count Data Regression Model. To appear inJournal of Statistical Computation and Simulation.
Johansson, P and Palme, M. (1994). Do Economic Incentives Affect Work Absence? Empirical Evidence Using Swedish Micro Data. To appear inJournal of Public Economics.
King, G. (1989). A Seemingly Unrelated Poisson Regression Model.Sociological Methods and Research 17, 225–235.
Liang K.-Y. and Zeger, S.L. (1986). Longitudinal Data Analysis using Generalized Linear Models.Biometrika 73, 13–22.
Newey, W.K. (1984). A Method of Moments Interpretation of Sequential Estimators.Economics Letters 14, 201–206.
Newey, W.K. (1985). Generalized Method of Moment Specification Testing.Journal of Econometrics 29, 229–256.
Newey, W.K. and West, K.D. (1987). A Simple Positive Definite, Heteroskedasticity and Auto Correlation Consistent Covariance Matrix.Econometrica 55, 703–708.
Ogaki, M. (1993). Generalized Method of Moments: Applications. InHandbook of Statistics (G.S. Maddala, C.R. Rao and H.D. Vinod, eds.) 455–488. Amsterdam: North-Holland.
Pagan, A. (1984). Econometric Issues in the Analysis of Regression With Generated Regressors.International Economic Review 25, 221–247.
Patil, G.P., Boswell, M.T., Ratnaparklohi, M.V. and Roux, J.J. (1984).Dictionary and Classified Bibliography of Statistical Distributions in Scientific Work. International Coopartive Publishing House, Fairland.
Ruser, J.W. (1994). Self-Correction versus Persistence of Establishment Injury Rates. Mimeo. US Bureau of Labor Statistics.
Zeger, S.L. (1988). A Regression Model for Time Series of Counts.Biometrika 75, 621–629.
Zeger, S.L., Liang, K.-Y. and Albert, P.A. (1988). Models of Longitudinal Data: A Generalized Estimating Equation Approach.Biometrics 44, 1049–1060.
Zeger, S.L. and Liang, K.-Y. (1986). Longitudinal Data Analysis for Discrete and Continuous Outcomes.Biometrics 42, 121–130.
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Brännäs, K., Johansson, P. Panel data regression for counts. Statistical Papers 37, 191–213 (1996). https://doi.org/10.1007/BF02926583
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DOI: https://doi.org/10.1007/BF02926583