The demand for deductibles in private health insurance: A probit model with sample selection

In this paper we analyse the decision to prefer a health insurance with a deductible to one with complete coverage. We focus on health, medical consumption, and on socio-economic characteristics like age, income, education and family size. The analysis is based on a sample of 8000 privately insured families; about 60 percent of them did not wish to have a health insurance policy with a deductible. A corrective method for sample selectivity, analogous to Heckman's (1979) method, has been applied in probit analysis; the estimation results are compared with the maximum-likelihood estimates. Health, medical consumption and income are found to have a significant influence on the decision with respect to the type of insurance. Our results give an indication of the degree of adverse selection that may take place if health insurance policies are offered with the option to take a deductible in exchange of a premium reduction.