Application of IRT-models to measuring inequality of opportunity in health

Authors

  • Marina Frants Institute of Social and Economic Researches of the Ufa Federal Scientific Centre of Russian Academy of Sciences (Ufa, Russian Federation) Автор

DOI:

https://doi.org/10.22394/1993-7601-2024-76-51-69

Keywords:

неравенство возможностей, неравенство в здоровье, IRT-теория, латентная переменная, 2PL-модель, GPCM-модель

Abstract

The research deals with the problems of measuring inequality of opportunity in health. One of the main difficulties is measuring individual health. To solve the problem, this study proposes synthesizing a quantitative health indicator using IRT-models. We tested this approach on RLMS data. As calculations show, with an increase in the number of health indicators, the assessment of inequality of opportunities in health increases. The maximum level was equal to 20.83%.
Received: 17 March 2024 · Accepted: 23 May 2024

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References

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Shorrocks A. F. (2012). Decomposition procedures for distributional analysis: A unified framework based on the Shapley value. The Journal of Economic Inequality, 1 (11), 99–126. DOI: 10.1007/s10888-011-9214-z.

Trannoy A., Tubeuf S., Jusot F., Devaux M. (2010). Inequality of opportunities in health in France: A first pass. Journal of Health Economics, 19 (8), 921–938. DOI: 10.1002/hec.1528.

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Andrich D. (1978) A rating formulation for ordered response categories. Psychometrika, 43, 561–573. DOI: 10.1007/BF02293814.

Berthung E., Gutacker N., Abelsen B., Olsen J. A. (2022). Inequality of opportunity in a land of equal opportunities: The impact of parents’ health and wealth on their offspring’s quality of life in Norway. BMC Public Health, 22, 1691. DOI: 10.1186/s12889-022-14084-x.

Birnbaum A. (1968). Some latent trait models and their use in inferring an examinee’s ability. In: F. M. Lord and M. R. Novick (eds.). Statistical Theories of Mental Test Scores, 397–479. Reading MA: Addison-Wesley.

Bourguignon F., Ferreira F. H. G., Menéndez M. (2007). Inequality of opportunity in Brazil. Review of Income and Wealth, 53, 585–618. DOI: 10.1111/j.1475-4991.2007.00247.x.

Carlson J. E., von Davier M. (2017). Item response theory. In: Advancing Human Assessment, 133–178. Springer, Cham. DOI: 10.1007/978-3-319-58689-2_5.

Case A., Fertig A., Paxson C. (2005). The lasting impact of childhood health and circumstance. Journal of Health Economics, 24 (2), 365–389. DOI: 10.1016/j.jhealeco.2004.09.008.

Cieza A., Hilfiker R., Chatterji S., Kostanjsek N., Ustün B. T., Stucki G. (2009). The international classification of functioning, disability, and health could be used to measure functioning. Journal of Clinical Epidemiology, 62 (9), 899–911. DOI: 10.1016/j.jclinepi.2009.01.019.

Chang W. C., Chan C. (1995). Rasch analysis for outcomes measures: Some methodological considerations. Archives of Physical Medicine and Rehabilitation, 76 (10), 934–939. DOI: 10.1016/s0003-9993(95)80070-0.

Checchi D., Peragine V. (2010). Inequality of opportunity in Italy. Journal of Economic Inequality, 8, 429–450. DOI: 10.1007/s10888-009-9118-3.

Donni P. L., Peragine V., Pignataro G. (2014). Ex-ante and ex-post measurement of equality of opportunity in health: A normative decomposition. Journal of Health Economics, 23, 182–198. DOI: 10.1002/hec.2908.

Ferreira F. H. G.; Peragine V. (2015). Equality of opportunity: Theory and evidence. IZA Discussion Papers, 8994. Institute for the Study of Labor (IZA), Bonn. DOI: 10.1596/1813-9450-7217.

Ferreira F. H. G., Gignoux J. (2011). The measurement of inequality of opportunity: Theory and an application to Latin America. Review of Income and Wealth, 57, 622–657. DOI: 10.1111/j.1475-4991.2011.00467.x.

Ferreira F. H. G., Gignoux J. (2014). The measurement of educational inequality: Achievement and opportunity. World Bank Economic Review, 28 (2), 210–246. DOI: 10.1093/wber/lht004.

Gikaro J. M., Zhu Z. Y., Shan H. H., Liu S. G., Lin F. (2023). Simplified functioning assessment for low back pain: ICF-based item response theory modelling. European Journal of Physical and Rehabilitation Medicine, 59, 731–742. DOI: 10.23736/S1973-9087.23.08003-6.

Haaf J. M., Merkle E. C., Rouder J. N. (2020). Do items order? The psychology in IRT models. Journal of Mathematical Psychology, 98, 102398. DOI: 10.1016/j.jmp.2020.102398.

Illum N. O., Gradel K. O. (2015). Assessing children with disabilities using WHO international classification of functioning, disability and health child and youth version activities and participation D codes. Child Neurology Open, 2 (4). DOI: 10.1177/2329048X15613529.

Jusot F., Mage S., Menendez M. (2014). Inequality of opportunity in health in Indonesia. Working Papers DT/2014/06. DIAL. https://dial.ird.fr/wp-content/uploads/2021/10/2014-06-Inequality-of-Opportunity-in-Health-in-Indonesia.pdf.

Lazar A. (2013). Ex-ante and ex-post measurement of inequality of opportunity in health: Evidence from Israel. In: P. Rosa Dias, O. O’Donnell (eds.). Health and Inequality, 2, 371–395. Bingley, UK: Emerald.

Masters G. N. (1982). A Rasch model for partial credit scoring. Psychometrika, 47, 149–174. DOI: 10.1007/BF02296272.

Muraki E. (1992). A generalized partial credit model: Application of an EM algorithm. Applied Psychological Measurement, 16, 159–176. DOI: 10.1177/014662169201600206.

Rasch G. (1960). Probabilistic models for some intelligence and attainment tests. Copenhagen: Nielsen & Lydiche.

Rivera F. (2017). Health opportunities in Colombia. Lecturas de Economía, 87, 125–164. DOI: 10.17533/udea.le.n87a05.

Shorrocks A. F. (2012). Decomposition procedures for distributional analysis: A unified framework based on the Shapley value. The Journal of Economic Inequality, 1 (11), 99–126. DOI: 10.1007/s10888-011-9214-z.

Trannoy A., Tubeuf S., Jusot F., Devaux M. (2010). Inequality of opportunities in health in France: A first pass. Journal of Health Economics, 19 (8), 921–938. DOI: 10.1002/hec.1528.

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Published

2024-04-15

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How to Cite

Frants M. Application of IRT-models to measuring inequality of opportunity in health // Applied Econometrics. 2024. Vol. 76, no. 4. P. 51–69. https://doi.org/10.22394/1993-7601-2024-76-51-69