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A class of estimable contrasts in an age-period-cohort model

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Abstract

A class of estimable contrasts is defined for cohort effects in an age-period-cohort model. It is useful for detecting a systematic change in cohort effects without suffering from a short term deviation. This together with the follow-up analysis of residuals will give a good insight into the data. Numerical examples are given to illustrate how the method applies.

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References

  • Fienberg S. E. and Mason W. M. (1979). Identification and estimation of age-period-cohort models in the analysis of discrete archival data, Sociological Methodology, (ed. K. F. Schussler), 1–67, Jossey-Bass, San Francisco.

    Google Scholar 

  • Fienberg S. E. and Mason W. M. (1985). Specification and implementation of age, period and cohort models, Cohort Analysis in Social Research, (eds. W. M. Mason and S. E. Fienberg), 45–88, Springer-Verlag, New York.

    Chapter  Google Scholar 

  • Frost W. H. (1939). The age selection of mortality from tuberculosis in successive decade, Amer. J. Hygiene A, 30, 91–96.

    Google Scholar 

  • Heckman J. and Robb R. (1985). Using longitudinal data to estimating age, period and cohort effects in earnings equations, Cohort Analysis in Social Research, (eds. W. M. Mason and S. E. Fienberg), 137–150, Springer-Verlag, New York.

    Chapter  Google Scholar 

  • Hirotsu C. (1982). Use of cumulative efficient scores for testing ordered alternatives in discrete models, Biometrika, 69, 567–577.

    Article  MathSciNet  Google Scholar 

  • Hirotsu C. (1983). An approach to defining the pattern of interaction effects in a two-way layout, Ann. Inst. Statist. Math., 35, 77–90.

    Article  MathSciNet  Google Scholar 

  • Hirotsu C. (1986). Cumulative chi-squared statistic as a tool for testing goodness of fit, Biometrika, 73, 165–173.

    Article  MathSciNet  Google Scholar 

  • Holford T. R. (1983). The estimation of age, period and cohort effects for vital rates, Biometrics, 39, 311–324.

    Article  MathSciNet  Google Scholar 

  • Johnson D. E. and Graybill F. A. (1972). An analysis of a two-way model with interaction and no replication, J. Amer. Statist. Assoc., 67, 862–868.

    Article  MathSciNet  Google Scholar 

  • Tango T. (1985). Estimation of age, period and cohort effects—Decomposition into linear trend and curvature component—, Japan J. Appl. Statist., 14, 45–59 (in Japanese).

    Article  Google Scholar 

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Authors and Affiliations

  1. Faculty of Engineering, University of Tokyo, 7-3-1 Hongō, Bunkyō-ku, 113, Tokyo, Japan

    C. Hirotsu

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  1. C. Hirotsu
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Hirotsu, C. A class of estimable contrasts in an age-period-cohort model. Ann Inst Stat Math 40, 451–465 (1988). https://doi.org/10.1007/BF00053058

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  • DOI: https://doi.org/10.1007/BF00053058

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