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Views Total views. Actions Shares. Embeds 0 No embeds. No notes for slide. Two-fold goal a. The methodology may be applied to inequality evaluation and, more generally, to well-being evaluation, when available data are of a multidimensional ordinal kind.
The study We apply the methodology to data about inequality in Italy, for years and Introduction 6. Time span year before the crisis and year in the middle of the crisis 7. Index 1. Defining subjective well-being 2. Data and sample 3.
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POSet and inequality evaluation procedure 4. Subjective inequality in Italy, before and within the economic crisis 8. Subjective inequality in Italy, before and within the economic crisis 9. Defining subjective well-being One of the most adopted definitions Households and families 2.
Housing 3. Transport 4. Leisure and culture 5. Participation 6. Education 7.
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Labour market and working condition 8. Income, standard of living and consumption patterns 9. Health Environment Social security Crime and safety Total life situation Subjective inequality in Italy, before and within the economic crisis Data and sample Four subjective indicators: Are you satisfied about your economic situation? Are you satisfied about your health? Are you satisfied about with familiar relations?
Are you satisfied about relations with friends? Scored on a four-degree scale: 1 — very 2 — enough 3 — little 4 — not at all 2. POSet and inequality evaluation procedure 1. Data involved in the study are ordinal Cannot be aggregated 2.
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In general terms, well-being dimensions are not highly interrelated Applying dimension reduction approaches looses too much information Some methodological issues POSet and inequality evaluation procedure A new mathematical language is needed Partial order theory POSet and inequality evaluation procedure Consider the four well-being indicators.
In fact the first profile is better on the first component, but it is worse on the third. So, which is the best of the two? POSet and inequality evaluation procedure So, some profiles can be ordered, others cannot.
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POSet and inequality evaluation procedure POSet and inequality evaluation procedure Why posets are useful for inequality evaluation? And, more important, this is achieved without aggregating profile scores on single inequality variables.
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Identify a inequality threshold 2. Assign each statistical unit the inequality score of the corresponding profile 4. Compute synthetic indicators In classical studies e. How is the threshold defined in the poset approach? Setting the threshold 3. Threshold 43 33 42 41 13 22 31 12 21 11 1. POSet and inequality evaluation procedure Example POSet and inequality evaluation procedure Example Suffering profiles they are equal or above at least one element of the threshold POSet and inequality evaluation procedure Suffering profiles they are equal or above at least one element of the threshold Non — inequality profiles they are below all profiles of the threshold Example Milano Roma Santiago de Chile.
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