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The Combined Median Rank-Based Gini Index for Customer Satisfaction Analysis

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Statistical Models for Data Analysis
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Abstract

The quality assessment represents a relevant topic especially with regard to several real contexts. Currently, firms and services suppliers pay particular attention to customer satisfaction surveys in order to investigate about the “perceived quality” feature. Typically, a useful tool to obtain information about the customer satisfaction degree is represented by the quality questionnaires. The use of quality questionnaires implies that the collected data mostly assume ordinal nature.A contribution in dealing with ordinal data is provided by this paper. Here, we propose a novel Gini measure built on ranks. By combining it with the median index, one can depict the customer satisfaction degree by exploiting information coming from the responses given to the quality questionnaires items.

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References

  • Abul Naga, R., & Yalcin, T. (2008). Inequality measurement for ordered response health data. Journal of Health Economics, 27, 1614–1625.

    Article  Google Scholar 

  • Allison, R. A., & Foster, J. E. (2004). Measuring health inequality using qualitative data. Journal of Health Economics, 23, 505–524.

    Article  Google Scholar 

  • De Mast, J. (2007). Agreement and kappa-type indices. The American Statistician, 61(2), 148–153.

    Article  MathSciNet  Google Scholar 

  • Ferrari, P. A., & Raffinetti, E. (2012). An extension and a new interpretation of the rank-based concordance index. In: Analysis and modeling of complex data in behavioural and social sciences. Cleup, Padova.

    Google Scholar 

  • Gastwirth, J. L. (1972). The estimation of the Lorenz curve and Gini index. The Review of Economics and Statistics, 54(3), 306–316.

    Article  MathSciNet  Google Scholar 

  • Giudici, P., & Raffinetti, E. (2011). On the Gini measure decomposition. Statistics and Probability Letters, 81(1), 133–139.

    Article  MathSciNet  MATH  Google Scholar 

  • Madden, D. (2010). Ordinal and cardinal measures of health inequality: an empirical comparison. Health Economics Letters, 19, 243–250.

    Article  Google Scholar 

  • Muliere, P., & Petrone, S. (1992). Generalized Lorenz curve and monotone dependence orderings. Metron, L(3–4), 19–38.

    Google Scholar 

  • Raffinetti, E., & Giudici, P. (2011). Model selection based on Lorenz zonoids. Book of papers ASMDA 2011 (applied stochastic models and data analysis) international conference (pp. 1145–1152). Rome, 7–10 June 2011. CD-Rom, Ed. ETS ISBN 97888467-3045-9.

    Google Scholar 

  • Raffinetti, E., & Giudici, P. (2012). Multivariate ranks-based concordance indexes. In A. Di Ciaccio, M. Coli, I. Angulo, M. Jose (Eds.) Advanced statistical methods for the analysis of large data-sets, Series, “Studies in Theoretical and Applied Statistics”, (pp. 465–473), Berlin/Heidelberg: Springer.

    Google Scholar 

  • Van Doorslaer, E., & Jones, A. M. (2003). Inequalities in self-reported health: validation of a new approach to measurement. Journal of Health Economics, 22, 61–87.

    Article  Google Scholar 

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Correspondence to Emanuela Raffinetti .

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Raffinetti, E. (2013). The Combined Median Rank-Based Gini Index for Customer Satisfaction Analysis. In: Giudici, P., Ingrassia, S., Vichi, M. (eds) Statistical Models for Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00032-9_33

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