Maximal Deviation between Sample and Population Means in Finite Populations
Abstract Bounds are presented for the maximal deviation in finite populations between sample and population means in units of (a) the population mean deviation, (b) the population range, and (c) the population mean, extending previous results for the population standard deviation. The efficiency of sampling is illustrated by various sample size calculations. The effect of symmetry on these bounds is considered. An application is made, in the symmetric case, to the expression for the bias of the ratio estimator.