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Handling Missing Data in Ranked Set Sampling

  • Carlos N.┬áBouza-Herrera

Part of the SpringerBriefs in Statistics book series (BRIEFSSTATIST)

Table of contents

  1. Front Matter
    Pages i-x
  2. Carlos N. Bouza-Herrera
    Pages 1-6
  3. Carlos N. Bouza-Herrera
    Pages 7-30
  4. Carlos N. Bouza-Herrera
    Pages 59-90
  5. Carlos N. Bouza-Herrera
    Pages 91-113
  6. Back Matter
    Pages 115-116

About this book

Introduction

The existence of missing observations is a very important aspect to be considered in the application of survey sampling, for example. In human populations they may be caused by a refusal of some interviewees to give the true value for the variable of interest. Traditionally, simple random sampling is used to select samples. Most statistical models are supported by the use of samples selected by means of this design. In recent decades, an alternative design has started being used, which, in many cases, shows an improvement in terms of accuracy compared with traditional sampling. It is called Ranked Set Sampling (RSS). A random selection is made with the replacement of samples, which are ordered (ranked). The literature on the subject is increasing due to the potentialities of RSS for deriving more effective alternatives to well-established statistical models. In this work, the use of RSS sub-sampling for obtaining information among the non respondents and different imputation procedures are considered. RSS models are developed as counterparts of well-known simple random sampling (SRS) models. SRS and RSS models for estimating the population using missing data are presented and compared both theoretically and using numerical experiments.

Keywords

62D05, 62F05, 62F10, 62Pxx, 62F40 estimation of the population mean imputation of missing observations missing data ranked set sampling subsampling the non response stratum

Authors and affiliations

  • Carlos N.┬áBouza-Herrera
    • 1
  1. 1.Universidad de La HabanaHavanaCuba

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-39899-5
  • Copyright Information The Author(s) 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-39898-8
  • Online ISBN 978-3-642-39899-5
  • Series Print ISSN 2191-544X
  • Series Online ISSN 2191-5458
  • Buy this book on publisher's site
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