Lose Weight for Money Only if Over-Weight: Marginal Integration for Semi-Linear Panel Models
AbstractBody mass index (BMI), weight(kg)/ height(m)2, is a widely used measure for obesity in medical science. In economics, there appeared studies (e.g., Cawley (2004) and Burkhauser and Cawley (2008)) showing that BMI has a negative (or no) effect on wage. But BMI is a tightly specified function of weight and height, and there is no priori reason to believe why the particular function is the best to combine weight and height. In this paper, we address the question of weight effect on wage, employing two-wave panel data for white females; the same panel data with more waves were used originally in Cawley (2004). We posit a semi-linear model consisting of a nonparametric function of height and weight and a linear function of the other regressors. The model is differenced to get rid of the unit specific effect, which results in a difference of two nonparametric functions with the same shape. We estimate each nonparametric function with a ‘marginal integration method’, and then combine the two estimated functions using the same shape restriction. We find that there is no weight effect on wage up to the average weight, beyond which a large negative effect kicks in. The effect magnitude is greater than that in Cawley (2004) who used a linear BMI model. The linear model gives the false impression that there would be a wage gain by becoming slimmer than the average and that the ‘obesity penalty’ is less that what it actually is.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by HEDG, c/o Department of Economics, University of York in its series Health, Econometrics and Data Group (HEDG) Working Papers with number 09/19.
Date of creation: Jul 2009
Date of revision:
Contact details of provider:
Postal: HEDG/HERC, Department of Economics and Related Studies, University of York, York, YO10 5DD, United Kingdom
Phone: (0)1904 323776
Fax: (0)1904 323759
Web page: http://www.york.ac.uk/res/herc/research/hedg/
More information through EDIRC
BMI; weight effect on wage; panel data; semi-linear model; marginal integration.;
Find related papers by JEL classification:
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Longitudinal Data; Spatial Time Series
- I10 - Health, Education, and Welfare - - Health - - - General
- J30 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - General
This paper has been announced in the following NEP Reports:
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Newey, W.K., 1992.
"Kernel Estimation of Partial Means and a General Variance Estimator,"
93-3, Massachusetts Institute of Technology (MIT), Department of Economics.
- Newey, Whitney K., 1994. "Kernel Estimation of Partial Means and a General Variance Estimator," Econometric Theory, Cambridge University Press, vol. 10(02), pages 1-21, June.
- Xihong Lin & Raymond J. Carroll, 2006. "Semiparametric estimation in general repeated measures problems," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(1), pages 69-88.
- John Cawley & Richard V. Burkhauser, 2006.
"Beyond BMI: The Value of More Accurate Measures of Fatness and Obesity in Social Science Research,"
NBER Working Papers
12291, National Bureau of Economic Research, Inc.
- Burkhauser, Richard V. & Cawley, John, 2008. "Beyond BMI: The value of more accurate measures of fatness and obesity in social science research," Journal of Health Economics, Elsevier, vol. 27(2), pages 519-529, March.
- Ekaterini Kyriazidou, 1997. "Estimation of a Panel Data Sample Selection Model," Econometrica, Econometric Society, vol. 65(6), pages 1335-1364, November.
- John Cawley, 2004. "The Impact of Obesity on Wages," Journal of Human Resources, University of Wisconsin Press, vol. 39(2).
- Li, Qi & Stengos, Thanasis, 1996. "Semiparametric estimation of partially linear panel data models," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 389-397.
- Henderson, Daniel J. & Carroll, Raymond J. & Li, Qi, 2008. "Nonparametric estimation and testing of fixed effects panel data models," Journal of Econometrics, Elsevier, vol. 144(1), pages 257-275, May.
- Myoung-jae Lee, 1999. "A Root-N Consistent Semiparametric Estimator for Related-Effect Binary Response Panel Data," Econometrica, Econometric Society, vol. 67(2), pages 427-434, March.
- Guardado, José R. & Ziebarth, Nicolas R., 2013. "A Model of Worker Investment in Safety and Its Effects on Accidents and Wages," IZA Discussion Papers 7428, Institute for the Study of Labor (IZA).
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Jane Rawlings).
If references are entirely missing, you can add them using this form.