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CPS2128  Wlodzimierz Okrasa et al.
            Deprivation (MILD) for 2478 communes /gminas (NUTS5), composed of eleven
            (pre-selected) domains of deprivation - each characterized by a number of
            original  items:  ecology  –  finance  –  economy  –  infrastructure  –  municipal
            utilities – culture – housing – social assistance – labour market – education –
            health [65 items]
            c.  Individual and community level factors of subjective well-being
                Basic Wellbeing Equation – important types of tradeoff/ balance.
                •  Approximation  of  wellbeing  equation  (originally  ‘life  satisfaction
                   equation’,  eg.  Clark  (2018))  allows  to  consider  first  the  classic
                   hypothesis of work (time, h- hours) vs. earning (Y) tradeoff, including
                   also auxiliary covariates (X):
                    Well-Being = β1Y + β2h + θ'X + ε              (2)
                • Complementary to the above considerations lead to checking the role
                   of community's social capital, the role of which can (hipothetically) be
                   interpreted in terms of 'compensating variation' (CV) as discussed by
                   Anand and Montovani (2018).
                Formally, a life satisfaction equation can be re-written as:
                 ( ,  ) =  ( , ,  )              (3)
                  0
                                    0
                                            1
                                1
                     0
                          0
                where y is household income, SC stands for SC, and CV for compensating
            variation (of CV for y), which can be can be obtained by identifying the utility
            gain derived from a unit increase in social capital. Accordingly, the expected
            utility given any particular value of social capital can be written as:
                 (|,,) = 0+++′+        (4)
                where  X  represents  all  additional  covariates.  Following  Anand  and
            Montovani (2018), CV can be be defined as
                 = / .                    (5)
            d.  Individual  well-being  and  community  well-being  relationship  -  a
                multilevel model (Subramanian (2010), Lloyd (2011) ). Using notations:
                -   ; well-being of i individual in j commune/gmin ;
                     
                -     predictor  of  indywidual  (level-1)  –  such  as:  age.  education.  or
                    satisfaction (e.g. from life in a community. family life . etc.)
                -  predictor of level-2 / (macro-level): Multideminsonal Index of Local
                    Deprivation for jcommune/gmina /MILDj
            Model for level-1:  =  +    +  0             (6)
                               
                                          1 1
                                     0
            where:   0   –  refers  to   0   average  score  on  a  well-being  scale  in  j-th
            commune/gmina (eg.. . ‘less affluent' or ‘low-income’. etc.. for cases < Me.  0
            =1);
              – average differentiation of individual well-being associated with individual
             1
            material status . ( 1 ). across all territorial units (communes/gminas;);  0  –
            residual term for the level-1. Two-level model can be specified as below:




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