Key words: Multivariate estimator two phase sampling multiple auxiliary variables minimum variance • • • INTRODUCTION Var (y mlr) = θSy2 (1 − ρ y.2 x) () The auxiliary information has always been a source where ρ 2y. x is the squared multiple correlation of improvement in estimation of certain population characteristics. Section one deals with single phase sampling for single and two auxiliary variables, while section two deals with two-phase sampling using single and two auxiliary variables. 2. pps Estimation Procedures for Two-Phase Sampling Sampling with Replacement. A preliminary sample of size, n, is selected from the given population containing N units, with equal probabilities of selection for each unit and without replacement. The ancillary variate, m, is measured on these, n, units.

Two phase sampling pdf

Section one deals with single phase sampling for single and two auxiliary variables, while section two deals with two-phase sampling using single and two auxiliary variables. Double Sampling (Two Phase Sampling) The ratio and regression methods of estimation require the knowledge of population mean of auxiliary variable () X to estimate the . Two-phase sampling for strati cation Variance estimation V^ Y^ tp = n 1 XH h=1 w h y h2 Y^ tp 2 + XH h=1 r 1 hw 2s2 2 Variance comparison V Y^ SRS V Y^ tp = E (1 r 1 n XH h=1 w h (y h1 y 1) 2+ XH h=1 1 r w h r h w hs 1) Two sources for the gain of e ciency: 1 Use n elements for the between-stratum variances. 2 An optimal choice of r h can improve the e ciency. 2. pps Estimation Procedures for Two-Phase Sampling Sampling with Replacement. A preliminary sample of size, n, is selected from the given population containing N units, with equal probabilities of selection for each unit and without replacement. The ancillary variate, m, is measured on these, n, units. PDF | Two-phase sampling is often used for estimating a population total or mean when the cost per unit of collecting auxiliary variables, x, is much smaller than the cost per unit of measuring a. Key words: Multivariate estimator two phase sampling multiple auxiliary variables minimum variance • • • INTRODUCTION Var (y mlr) = θSy2 (1 − ρ y.2 x) () The auxiliary information has always been a source where ρ 2y. x is the squared multiple correlation of improvement in estimation of certain population characteristics.Two‐phase sampling is often used for estimating a population total or mean when the cost per unit of collecting auxiliary variables, x, is much. So the sample mean in this sampling is a function of the two phases of sampling. . Note: The two phase sampling can be extended to more than two phases. collecting the information on the study variable y is called double sampling or two phase sampling. It is useful when it is considerably cheaper and quicker to. the population variance and other second-order finite population quantities under two-phase sampling. The proposed optimal calibration estimators for a. Two-phase sampling design is a sampling design where the sample selection is per- formed in two phases, where in the first phase the auxiliary variable x is. Suitably enough, the theory of two-phase sampling was created by Jerzy Neyman [8] in response to a problem posed at a conference on sampling human. Two-phase sampling is typically used when it is very expensive to collect data on the variables of interest, but it is relatively inexpensive to collect data on. variable under non-response. A theoretical study is carried out using two-phase sampling scheme when the population mean of auxiliary variable is not known. PDF | This book attempts to give an up to date account and the developments of two-phase sampling using simple random sampling without. read more, office 2016 update s,2014 film subtitles non-stop,wahm sumbang lagu doel,games anwar bihar ul

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Two phase sampling pdf