CALCULATING COMPONENTS OF THE COEFFICIENT OF RELATIONSHIP

The coefficient of relationship by isonymy is Ri = Sigma(n(n - 1)/2(N( N - 1)) in which n is the number of persons of each surname and N = Si gma n. Dividing Ri into two components, one for the contribution of co -residence (family size) and the other for diversity of surnames among residences is achieved by letting a(1) represent Sigma n(n - 1) for a ll residents, at represent Sigma n(n - 1) after eliminating all but on e individual of any name at any residence, and b(1) represent 2N(N - 1 ) for all residents. Then the component for inter-residence diversity is a(2)/b(1) and the component for relationship by co-residence (inclu ding the interaction) is (a(1) - a(2))/b(1). By the same logic it is p ossible to calculate separately the interaction component, but the add itional information seems of limited importance.