where α is the constant term in the regression (Equation (2)) capturing the reduction in inequality in access to care due to an equal increase in access to health care by everybody, and μ, as before, is the mean of y. Although the constant term does not enter the decomposition for levels (Equation (5)), changes in the constant terms do produce changes in CI. The second term is the same as the first term in Equation (6). The third and fourth terms are the further decomposition of the second term in Equation (6), separating the effect of the change in βz and xz, respectively.