The application of a sequential procedure with elimination as a method for the screening for metabolic diseases

A sequential classification procedure with early elimination, for the screening for metabolic diseases, is presented. Asymptotic properties of the procedure are derived in the Appendix and it is shown that the procedure is asymptotically distribution-free under certain assumptions, and asymptotically at least as efficient as a comparable fixed-sample procedure. With the use of data obtained from 36 mentally retarded patients, the procedure was evaluated by means of a bootstrap simulation. The procedure was then applied to this set of data, with satisfactory results and a considerable economy in observations.