Tables Describing Small-Sample Properties of the Mean, Median, Standard Deviation, and Other Statistics in Sampling from Various Distributions (Classic Reprint)

Download or read book Tables Describing Small-Sample Properties of the Mean, Median, Standard Deviation, and Other Statistics in Sampling from Various Distributions (Classic Reprint) written by Churchill Eisenhart and published by Forgotten Books. This book was released on 2018-02-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Tables Describing Small-Sample Properties of the Mean, Median, Standard Deviation, and Other Statistics in Sampling From Various Distributions This note includes a collection of tables useful for study of the sampling distributions of some frequently-used statistics, with brief dis eussions of their construction and use. (1) The probability level P(e, n) of any continuous parent distribution corresponding to level 6 of the distribution of the median. (2) Probability points of certain sample statistics for samples from six distributions: normal and double exponential (mean, median), rectangular (mean, median, midrange), Cauchy, Sech, Sech2 (median). In all the above tables, the sample size n and the probability levels are e £001, 005, 01, 025, 05, 10, 20, 25. Together with the tables listed under (2) are given the values of certain ratios useful for comparing the various statistics. (3) Probability that the standard deviation of a normal distribution will be underestimated by the sample standard deviation 5 and by unbiased estimators of 0 based on s, on the mean deviation, and on the sample range. Divisors are given for obtaining the corresponding median unbiased estimators. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.