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Le problème des données longitudinales incomplètes : une nouvelle approche

  • Paquet, Marie-France

    (Université d’Ottawa)

  • Bolduc, Denis

    (Université Laval)

In this paper, we suggest to use a Gibbs sampler with data augmentation to estimate models based on incomplete longitudinal data which, in the extreme case where the sample is composed of independent cross-sections, corresponds to a situation that normally calls for pseudo-panel modeling. The idea suggested here can be applied in several contexts: static and dynamic models linear or nonlinear type, discrete choice models, models with endogenous regressors, etc. To present the suggested method, we apply it to a linear model with continuous dependent variable. For comparison purpose, we also use the conventional pseudo-panel approach which is based on averages computed on cohorts. In terms of efficiency, the technique suggested in this work gives better results than the conventional pseudo-panel technique. This conclusion remains valid for any proportion of missing observations in the sample. Dans ce travail, nous suggérons l’utilisation de l’échantillonnage de Gibbs combiné à l’augmentation des données pour estimer des modèles à données longitudinales incomplètes, qui dans le cas extrême où l’échantillon est composé de coupes transversales indépendantes, correspond au cas de modèle de type pseudo-panel. Cette idée peut être appliquée dans plusieurs contextes : modèles statiques ou dynamiques de type linéaires, non linéaires, de choix discrets, avec régresseurs endogènes, etc. Pour présenter la méthode proposée, nous l’appliquons dans le cas d’un modèle linéaire à variable dépendante continue. Comme point de comparaison, nous utilisons les estimations par l’approche conventionnelle dite de pseudo-panel basée sur des moyennes calculées sur des cohortes. La technique proposée dans ce travail donne des résultats supérieurs, en terme d’efficacité, à la technique conventionnelle. Cette conclusion demeure valide quelle que soit la proportion des observations manquantes.

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Article provided by Société Canadienne de Science Economique in its journal L'Actualité économique.

Volume (Year): 80 (2004)
Issue (Month): 2 (Juin-Septembre)
Pages: 341-361

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Handle: RePEc:ris:actuec:v:80:y:2004:i:2:p:341-361
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  1. Verbeek, M. & Nijman, T., 1990. "Can Cohort Data Be Treated As Genuine Panel Data," Papers 9064, Tilburg - Center for Economic Research.
  2. Baltagi, Badi H., 1995. "Editor's introduction Panel data," Journal of Econometrics, Elsevier, vol. 68(1), pages 1-4, July.
  3. Keisuke Hirano & Guido W. Imbens & Geert Ridder & Donald B. Rubin, 1998. "Combining Panel Data Sets with Attrition and Refreshment Samples," Tinbergen Institute Discussion Papers 98-033/4, Tinbergen Institute.
  4. Browning, Martin & Deaton, Angus & Irish, Margaret, 1985. "A Profitable Approach to Labor Supply and Commodity Demands over the Life-Cycle," Econometrica, Econometric Society, vol. 53(3), pages 503-43, May.
  5. Gordon, Stephen & Bélanger, Gilles, 1996. "Échantillonnage de Gibbs et autres applications économétriques des chaînes markoviennes," L'Actualité Economique, Société Canadienne de Science Economique, vol. 72(1), pages 27-49, mars.
  6. Paul Beaudry & David A. Green, 2000. "Cohort patterns in Canadian earnings: assessing the role of skill premia in inequality trends," Canadian Journal of Economics, Canadian Economics Association, vol. 33(4), pages 907-936, November.
  7. repec:dgr:uvatin:2098033 is not listed on IDEAS
  8. Rob Alessie & Michael Devereux & Guglielmo Weber, 1993. "Intertemporal consumption, durables and liquidity constraints: a cohort analysis," IFS Working Papers W93/07, Institute for Fiscal Studies.
  9. Verbeek, Marno & Nijman, Theo, 1993. "Minimum MSE estimation of a regression model with fixed effects from a series of cross-sections," Journal of Econometrics, Elsevier, vol. 59(1-2), pages 125-136, September.
  10. Christian Loisy & François Gardes, 1998. "La pauvreté selon les ménages : une évaluation subjective et indexée sur leur revenu," Économie et Statistique, Programme National Persée, vol. 308(1), pages 95-112.
  11. Deaton, Angus, 1985. "Panel data from time series of cross-sections," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 109-126.
  12. Gardes, Francois & Langlois, Simon & Richaudeau, Didier, 1996. "Cross-section versus time-series income elasticities of Canadian consumption," Economics Letters, Elsevier, vol. 51(2), pages 169-175, May.
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