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An extended hierarchical ordered probit model robust to heteroskedastic vignette perceptions with an application to functional limitation assessment

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  • Zhiyong Huang
  • Haoxian Wang
  • Wenyuan Zheng

Abstract

To improve interpersonal comparability of self-reported measures, anchoring vignettes are increasingly collected in surveys and modeled as the hierarchical ordered probit (HOPIT) model. This paper—based on the idea of psychological distance—relaxes the assumption of vignette equivalence in the HOPIT by allowing for heteroscedasticity in respondents’ perceptions of vignettes. Particularly, we assume that respondents who are more similar to a vignette are more familiar with the condition described and therefore are capable of forming a more precise perception of the vignette. We show evidence in favor of this extended HOPIT through Monte Carlo simulations and an application concerning self-reported vision difficulty from the WHO Study on Global Aging and Adult Health (SAGE).

Suggested Citation

  • Zhiyong Huang & Haoxian Wang & Wenyuan Zheng, 2021. "An extended hierarchical ordered probit model robust to heteroskedastic vignette perceptions with an application to functional limitation assessment," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-19, March.
  • Handle: RePEc:plo:pone00:0248805
    DOI: 10.1371/journal.pone.0248805
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    1. repec:cup:apsrev:v:98:y:2004:i:01:p:191-207_00 is not listed on IDEAS
    2. Arie Kapteyn & James P. Smith & Arthur van Soest, 2007. "Vignettes and Self-Reports of Work Disability in the United States and the Netherlands," American Economic Review, American Economic Association, vol. 97(1), pages 461-473, March.
    3. Shmueli, Amir, 2003. "Socio-economic and demographic variation in health and in its measures: the issue of reporting heterogeneity," Social Science & Medicine, Elsevier, vol. 57(1), pages 125-134, July.
    4. Lindeboom, Maarten & van Doorslaer, Eddy, 2004. "Cut-point shift and index shift in self-reported health," Journal of Health Economics, Elsevier, vol. 23(6), pages 1083-1099, November.
    5. Viola Angelini & Danilo Cavapozzi & Luca Corazzini & Omar Paccagnella, 2014. "Do Danes and Italians Rate Life Satisfaction in the Same Way? Using Vignettes to Correct for Individual-Specific Scale Biases," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 76(5), pages 643-666, October.
    6. Martin Ravallion & Kristen Himelein & Kathleen Beegle, 2016. "Can Subjective Questions on Economic Welfare Be Trusted?," Economic Development and Cultural Change, University of Chicago Press, vol. 64(4), pages 697-726.
    7. Eva Lermer & Bernhard Streicher & Rainer Sachs & Martina Raue & Dieter Frey, 2016. "Thinking Concretely Increases the Perceived Likelihood of Risks: The Effect of Construal Level on Risk Estimation," Risk Analysis, John Wiley & Sons, vol. 36(3), pages 623-637, March.
    8. Kristensen, Nicolai & Johansson, Edvard, 2008. "New evidence on cross-country differences in job satisfaction using anchoring vignettes," Labour Economics, Elsevier, vol. 15(1), pages 96-117, February.
    9. King, Gary & Wand, Jonathan, 2007. "Comparing Incomparable Survey Responses: Evaluating and Selecting Anchoring Vignettes," Political Analysis, Cambridge University Press, vol. 15(1), pages 46-66, January.
    10. Arthur van Soest & Liam Delaney & Colm Harmon & Arie Kapteyn & James P. Smith, 2011. "Validating the use of anchoring vignettes for the correction of response scale differences in subjective questions," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 174(3), pages 575-595, July.
    11. Eric Bonsang & Arthur Soest, 2012. "Satisfaction with Job and Income Among Older Individuals Across European Countries," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 105(2), pages 227-254, January.
    12. Teresa Molina, 2016. "Reporting Heterogeneity and Health Disparities Across Gender and Education Levels: Evidence From Four Countries," Demography, Springer;Population Association of America (PAA), vol. 53(2), pages 295-323, April.
    13. Hana Voňková & Patrick Hullegie, 2011. "Is the anchoring vignette method sensitive to the domain and choice of the vignette?," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 174(3), pages 597-620, July.
    14. Ren Mu, 2014. "Regional Disparities In Self‐Reported Health: Evidence From Chinese Older Adults," Health Economics, John Wiley & Sons, Ltd., vol. 23(5), pages 529-549, May.
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