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Evaluating the effect of care programs for elderly persons with dementia on caregiver’s well-being

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Abstract

This contribution provides an econometric evaluation of the impact of two innovative care programs for elderly persons with dementia (day-care centers and group-living) on the well-being of the primary caregiver of patients. For this evaluation we use data from a survey conducted in six European countries in 1998. The results show that after adjusting for selection bias day-care centers have a positive impact for a specific part of the population. They also reveal a rationing mechanism in the access to group-living.

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Acknowledgements

The main financial support for this study was provided by the European Commission (DG5). We are grateful to Jean-Pierre Florens, Marie-Eve Joël, and Edward Norton for helpful comments. We thank also Genevieve Verdier, the participants in the EDOCIF seminar (Université Paris Dauphine), in the Young seminar (Université Toulouse I), and in the GREQAM Statistics seminar (Université Aix Marseille III) for their valuable remarks.

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Correspondence to Agnes Gramain.

Appendix: computations

Appendix: computations

We adjust the variance estimates of the OLS estimators as follows:

$$ \begin{array}{*{20}l} {{Varcov{\left( {\begin{array}{*{20}c} {{\hat{\beta }_{0} }} \\ {{\hat{\sigma }_{{\upsilon 0}} }} \\ \end{array} } \right)}} \hfill} & { = \hfill} & {{{\left( {{\left( {\begin{array}{*{20}c} {X} \\ {{\hat{W}_{0} }} \\ \end{array} } \right)}{\left( {X\;\hat{W}_{0} } \right)}} \right)}^{{ - 1}} {\left( {\begin{array}{*{20}c} {X} \\ {{\hat{W}_{0} }} \\ \end{array} } \right)}Var{\left( {\varepsilon _{0} /X,\;Z,\;D = 0} \right)}} \hfill} \\ {{} \hfill} & {{} \hfill} & {{{\left( {X\;\hat{W}_{0} } \right)}{\left( {{\left( {\begin{array}{*{20}c} {X} \\ {{\hat{W}_{0} }} \\ \end{array} } \right)}{\left( {X\;\hat{W}_{0} } \right)}} \right)}^{{ - 1}} } \hfill} \\ {{Varcov{\left( {\begin{array}{*{20}c} {{\hat{\beta }_{1} }} \\ {{\hat{\sigma }_{{\upsilon 1}} }} \\ \end{array} } \right)}} \hfill} & { = \hfill} & {{{\left( {{\left( {\begin{array}{*{20}c} {X} \\ {{\hat{W}_{1} }} \\ \end{array} } \right)}{\left( {X\;\hat{W}_{1} } \right)}} \right)}^{{ - 1}} {\left( {\begin{array}{*{20}c} {X} \\ {{\hat{W}_{1} }} \\ \end{array} } \right)}Var{\left( {\varepsilon _{1} /X,\;Z,\;D = 1} \right)}} \hfill} \\ {{} \hfill} & {{} \hfill} & {{{\left( {X\;\hat{W}_{1} } \right)}{\left( {{\left( {\begin{array}{*{20}c} {X} \\ {{\hat{W}_{1} }} \\ \end{array} } \right)}{\left( {X\;\hat{W}_{1} } \right)}} \right)}^{{ - 1}} } \hfill} \\ \end{array} $$

One can calculate the expression of the variances of ε0 and ε1 using [27] and [29].

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Gramain, A., Malavolti, L. Evaluating the effect of care programs for elderly persons with dementia on caregiver’s well-being. HEPAC 5, 6–14 (2004). https://doi.org/10.1007/s10198-003-0194-1

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