Title Details: Stratified random Sampling (SrS) Authors: Farmakis, Nikolaos Reviewer: Batsidis, Apostolos Subject: MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > STATISTICS Keywords: Sampling Simple Random Sampling Population Sample Random Variable Mean Value Variance Standard Deviation Stratified Sampling Proportional Stratified Sampling Optimal Allocation Arithmetic Estimator Of Mean Geometric Estimator Of Mean Description: Abstract: In the 3rd chapter we deal with the Stratified random sampling (SrS) the most often used sampling technique for surveys. Definitions of basic concepts and the suitable notations are given. We deal with the two kinds of sampling and the suitable estimators: Proportional and optimal allocation. A short part of this chapter is for binary variables, the percentages and their estimations especially in surveys. Also the problem of the size of whole sample and its parts from the population parts (strata) is studied. Illustrative Examples are given and in some case the problem of optimal allocation is studied. The optimality criteria have to do with a) The cost of the survey and b) the variance of the mean value of the estimators. Some exercises are proposed for solution. Table of Contents: 3.1 Defining ideas - Notations3.2 Estimations- The two basic estimators of the mean3.3 Optimal allocation 3.4 Estimating percentagew Bibliography/ referencesSolved Examples Type: Chapter Creation Date: 2015 Item Details: License: http://creativecommons.org/licenses/by-nc-nd/3.0/gr Handle http://hdl.handle.net/11419/4843 Bibliographic Reference: Farmakis, N. (2015). Stratified random Sampling (SrS) [Chapter]. In Farmakis, N. 2015. Δειγματοληψία και εφαρμογές [Undergraduate textbook]. Kallipos, Open Academic Editions. chapter 3. http://hdl.handle.net/11419/4843 Language: Greek Is Part of: Δειγματοληψία και εφαρμογές Publication Origin: Kallipos, Open Academic Editions