Abstract
In non-experimental research, data on the same population process may be collected simultaneously by more than one instrument. For example, in the present application, two sample surveys and a population birth registration system all collect observations on first births by age and year, while the two surveys additionally collect information on women’s education. To make maximum use of the three data sources, the survey data are pooled and the population data introduced as constraints in a logistic regression equation. Reductions in standard errors about the age and birth-cohort parameters of the regression equation in the order of three-quarters are obtained by introducing the population data as constraints. A halving of the standard errors about the education parameters is achieved by pooling observations from the larger survey dataset with those from the smaller survey. The percentage reduction in the standard errors through imposing population constraints is independent of the total survey sample size.
References
Casella G, Berger RL (2002) Statistical inference, 2nd edn. Duxbury Press, Pacific Grove
Deming WE, Stephan FF (1942) On the least squares adjustment of a sampled frequency table when the expected marginal tables are known. Ann Math Stat 11: 427–424
De Sandre P et al (2000) Fertility and Family Surveys in the ECE Region Standard Country Report: Italy Geneva: United Nations Economic Commission for Europe, Population Activities Unit
Efron B, Tibshirani RJ (1994) An introduction to the bootstrap. Chapman and Hall, New York
Giorgi P (1993) Una rilettura della fecondità del momento per ordine di nascita in Italia nel periodo 1950–1990 considerando la struttura per parità. Genus 40(3–4): 177–204
Handcock MS, Huovilainen SM, Rendall MS (2000) Combining registration-system and survey data to estimate birth probabilities. Demography 37(2): 187–192
Handcock MS, Rendall MS, Cheadle JE (2005) Improved regression estimation of a multivariate relationship with population data on the bivariate relationship. Sociol Methodol 35(1): 291–334
Hellerstein J, Imbens GW (1999) Imposing moment restrictions from auxiliary data by weighting. Rev Econ Stat 81(1): 1–14
Imbens GW, Lancaster T (1994) Combining micro and macro data in microeconometric models. Rev Econ Stud 61: 655–680
Ireland CT, Kullback S (1968) Contingency tables with given marginals. Biometrika 55: 179–188
ISTAT (2000) Indagine Statisitca Multiscopo sulla Famiglia, 1998. Istituto Nazionale di Statistica, Rome
ISTAT (1996) Forze di Lavoro, Media 1995 Serie Annuari. Istituto Nazionale di Statistica, Rome
ISTAT (2005) Elaborazioni Istat su dati ricostruiti progetto MARSS. Istituto Nazionale di Statistica, Rome
LoConte M, Castagnaro C, Talucci V, Prati S (2003) The first sample survey on births in Italy: purposes and results. Paper presented at the 2003 European Population Conference, Warsaw, Poland
Maddala GS (1983) Limited-dependent and qualitative variables in econometrics. Cambridge University Press, New York
OECD (2003) Education statistics and indicators, education at a glance, 2002 edition. http://www.oecd.org
Rice JA (1995) Mathematical statistics and data analysis. Wadsworth, Pacific Grove
Ridder G, Moffitt RA (2007) The econometrics of data combination. In: Heckman JJ, Leamer EE(eds) Handbook of econometrics. North Holland, Amsterdam
SAS Institute (1997) SAS/OR Technical Report: The NLP Procedure. SAS Institute Inc., Cary, NC
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Rendall, M.S., Admiraal, R., DeRose, A. et al. Population constraints on pooled surveys in demographic hazard modeling. Stat Meth Appl 17, 519–539 (2008). https://doi.org/10.1007/s10260-008-0106-8
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DOI: https://doi.org/10.1007/s10260-008-0106-8
Keywords
- Combining data
- Constrained estimation
- Fertility