A study of the family service expenditures and the socio-demographic characteristics via fixed marginals correspondence analysis

Our study focuses on two data set, the former provides the expenditures for several services for each family and the latter contains socio-demographic variables for the same statistical units. The main aim is to analyze, in a Correspondence Analysis context, the service expenditure of families based on the whole given data-set under two types of constraints: the global relative expenses for a given service and the global relative expenses for a given socio-demographic category. The purpose of measuring the relationship between expenditure on social services and the socio-demographic characteristics of families is conducted in an exploratory and predictive perspective. A new approach is then introduced which ensures compliance with the required constraints. Moreover, through a procedure, we have obtained a table of regression coefficients. This table shows interesting properties and it is easy to interpret. Finally, the performance of the results has been evaluated using computer-based resampling techniques.