Skip to main content

Populations, samples, and sampling distributions

  • Chapter
  • 2548 Accesses

Abstract

To this point, we have used regression analysis only to describe the relationship between two variables in a sample. However, in statistical analysis, we are not usually interested in the characteristics of a particular sample. More often, we are interested in estimating the characteristics of the population from which the sample was drawn. Whenever we wish to make statements about the characteristics of a population, based on the characteristics of a sample, we must rely on the logic of statistical inference. In particular, we must employ the concept of sampling distributions. Indeed, the logic of inferential statistics is based largely on the concept of sampling distributions. A sampling distribution is the theoretical distribution of a sample statistic that would be obtained from a large number of random samples of equal size from a population. Consequently, the sampling distribution serves as a statistical “bridge” between a known sample and the unknown population. Sample statistics, such as the sample mean and variance, are used to provide estimates of corresponding population parameters, such as the population mean and variance.

Keywords

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Plenum Press, New York

About this chapter

Cite this chapter

(1997). Populations, samples, and sampling distributions. In: Understanding Regression Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-0-585-25657-3_11

Download citation

  • DOI: https://doi.org/10.1007/978-0-585-25657-3_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-45648-0

  • Online ISBN: 978-0-585-25657-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics