Large sample inference for diagnostic normal limits in gaussian populations
A large sample test for equality of two Gaussian population normal limits (percentiles) is proposed and its properties investigated.In particular,its power is compared with that of the usual test in the case of homoscedastic populations.Several estimators of normal limits are examined and the rate of convergence of their distributions to the Gaussian distributsion examined.A pooled estimator of a normal limit is suggested in the case of two population normal limits being accped as identical, and its asymptotic properties compared with those of this paper are then illustrated on data from nerve conduction studies.