Batchelor, Andy, Turner, Heather L. and Firth, David (2007) Nonlinear discrete-time hazard models for entry into marriage. Working Paper. University of Warwick. Centre for Research in Statistical Methodology, Coventry.

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Abstract

When modeling the hazard of entry into marriage, the non-monotonic dependence on age needs to be taken into account. In this paper, nonlinear discrete-time hazard models based on a bell-shaped function are proposed, in which the support of the hazard function, the maximum hazard and the age of maximum hazard are estimated. Starting in the proportional hazards framework, the baseline hazard model proposed by Blossfeld and Huinink (1991) is extended to allow estimation of the support of the baseline hazard. A naive extension is shown to suffer from partial aliasing and thus an alternative parameterization is proposed, in which the partial aliasing is reduced. This parameterization includes the maximum hazard and the age of maximum hazard as parameters. A non-proportional hazards model is then obtained by allowing the age of maximum hazard, as well as the maximum hazard itself, to depend on covariates. The usefulness of the proposed models is demonstrated through application to data from the Living in Ireland Surveys conducted between 1994 and 2001.

Item Type:	Working or Discussion Paper (Working Paper)
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH):	Marriage -- Proportional hazards models
Series Name:	Working papers
Publisher:	University of Warwick. Centre for Research in Statistical Methodology
Place of Publication:	Coventry
Date:	2007
Volume:	Vol.2007
Number:	No.16
Number of Pages:	14
Status:	Not Peer Reviewed
Access rights to Published version:	Open Access
Funder:	Economic and Social Research Council (Great Britain) (ESRC)
Grant number:	RES-051-27-0055 (ESRC), RES-576-25-5020 (ESRC)
References:	Blossfeld, H.-P. and J. Huinink (1991). Human Capital Investments or Norms of Role Transition? How Women's Schooling and Career Affect the Process of Family Forma- tion. American Journal of Sociology 97, 143{168. Cox, D. R. and D. Oakes (1984). Analysis of Survival Data. London: Chapman & Hall. Powers, D. A. and Y. Xie (2000). Statistical Methods for Categorical Data Analysis. London: Academic Press. Raymo, J. (2003). Educational Attainment and the Transition to First Marriage among Japanese Women. Demography 40, 83{103. Turner, H. and D. Firth (2007). Generalized nonlinear models in R: An overview of the gnm package. Documentation in the gnm package, http://cran.r-project.org. Watson, D. (2004). Living in Ireland Survey - Technical Overview. http://issda.ucd.ie/documentation/esri/lii-overview.pdf.
URI:	http://wrap.warwick.ac.uk/id/eprint/35546

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