Open Conference Systems, 50th Scientific meeting of the Italian Statistical Society

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Worthiness Based Social Scaling
Giulio D'Epifanio

Last modified: 2018-05-18

Abstract


The construction of a set of scales is delineated, for evaluating the performanceof social agents (e.g. providers of services as hospitals, schools, etc.) conditionally on “reference states†of the governed individuals. Each scale is associated to an index which uses conditional “worthiness increases†between the levels of an ordinal outcome indicator Y. This indicator was been defined on a scheduled, by the policy-maker (PM), chain of hierarchically ordered goals. The “worthiness increases†are interpreted by modeling interrelated latent evolutionary processes, on the scheduled goal chain, up to hyper-parameters γ which are driven by conditions x.  A pseudo-Bayes method is used to norm specifications on the “reference data†of the (chosen a priori) “standard agentâ€. Finally, adhering to general requirements in rational choices from the decision theory, a standardized worthiness-based index can be implemented, which takes into input the agents actual data.

References


[1] Casella G, Robert C P (2002) Monte Carlo Statistical Methods (third printing). Springer, NewYork

[2] Chateauneuf A., Cohen M., Meilijson I. (2004), Four Notions of Mean-preserving Increase inRisk, Risk attitudes and Applications to the Rank-dependent Expected Utility Model, Journalof Mathematical Economics 40, 547-571

[3] D’Epifanio G (2011) Sviluppo di un Indice Multi-attributo per la Valutazione del Merito. In“Criteri e indicatori per misurare l’efficacia delle attivit universitarieâ€, vol I, pp. 279, CLEUP,Padova (for previous versions see: http://www.ec.unipg.it/DEFS/depifanio.html?lang=it)

[4] D’Epifanio G (2005) Data Dependent Prior Modeling and Estimationin Contingency Tables. In: Vichi M. et al (eds) Studies in Classifica-tion Data Analysis and Knowledge Organization, Springer-Verlag,NewYork http://www.springerlink.com/content/j73233521955n624/?p=6505e914841943a6bbeaf8cbd144238b&pi=3

[5] D’Epifanio G (1996) Notes on A Recursive Procedure for Point Estimation. Test, 5, 1, 1-24,http://www.springerlink.com/content/m0458041m043/?p=6505e914841943a6bbeaf8cbd144238b&pi=0

[6] D’Epifanio G (2017) Indexing the Normalized Worthiness of Social Agents In: Perna C. et al(eds) Studies in Theoretical and Applied Statistics, SIS 2016, Springer-Verlag (forthcoming)


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