Chow, Bryant2019-10-102019-10-101965http://hdl.handle.net/10919/94546The expected value ot the s^th largest ot n ranked variates from a population with probability density f(x) occurs often in the statistical literature and especially in the theory of nonparametric statistics. A new expression for this value will be obtained tor any underlying density f(x) but emphasis will be placed on normal scores. A finite series representation, the individual terms of which are easy to calculate, will be obtained for the sum of squares of normal scores. The derivation of this series demonstrates a technique which can also be used to obtain the expected value of Fisher's measure or correlation as well as the expected value of the Fisher-Yates test statistic under an alternative hypothesis.iii, 95 leavesapplication/pdfen-USIn CopyrightLD5655.V856 1965.C468Ranking and selection (Statistics)Order statisticsDissertation