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About: Simple Random Samples and Statistics

Module by: Paul E Pfeiffer. E-mail the author

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Name: Simple Random Samples and Statistics
ID: m23496
Language: English (en)
Summary: The (simple) random sample, is basic to much of classical statistics. Once formulated, we may apply probability theory to exhibit several basic ideas of statistical analysis. A population may be most any collection of individuals or entities. Associated with each member is a quantity or a feature that can be assigned a number. The population distribution is the distribution of that quantity among the members of the population. To obtain information about the population distribution, we select “at random” a subset of the population and observe how the quantity varies over the sample. Hopefully, the distribution in the sample will give a useful approximation to the population distribution. We obtain values of such quantities as the mean and variance in the sample (which are random quantities) and use these as estimators for corresponding population parameters (which are fixed). Probability analysis provides estimates of the variation of the sample parameters about the corresponding population parameters.
Subject: Mathematics and Statistics
Keywords: Matllab techniques, Population distribution, Population parameters, Random sample, Sample parameters, Sampling process, Statistic as estimator
License: Creative Commons Attribution License CC-BY 3.0
Authors: Paul E Pfeiffer (perhp@earthlink.net)
Copyright Holders: Paul E Pfeiffer (perhp@earthlink.net)
Maintainers: Paul E Pfeiffer (perhp@earthlink.net), Daniel Williamson (dcwill@cnx.org), C. Sidney Burrus (csb@rice.edu)
Latest version: 1.8 (history)
First publication date: Apr 17, 2009 3:45 pm -0500
Last revision to module: Sep 18, 2009 1:55 pm -0500

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Version History

Version: 1.8 Sep 18, 2009 1:55 pm -0500 by Daniel Williamson
Changes: 
added google analytics tracking code
Version: 1.7 Jul 28, 2009 10:14 pm -0500 by Paul E Pfeiffer
Changes: 
added summary
Version: 1.6 Jul 28, 2009 9:04 am -0500 by Paul E Pfeiffer
Changes: 
Added summary
Version: 1.5 Jul 27, 2009 12:17 pm -0500 by Daniel Williamson
Changes: 
disjoint union fix
Version: 1.4 Jun 19, 2009 11:29 am -0500 by Daniel Williamson
Changes: 
m-file fixes, supplemental links, metadata updated
Version: 1.3 Jun 9, 2009 5:29 pm -0500 by Daniel Williamson
Changes: 
updated links, images and accessibility
Version: 1.2 May 26, 2009 4:45 pm -0500 by Daniel Williamson
Changes: 
fixed module names, and updated content structure
Version: 1.1 May 19, 2009 12:21 pm -0500 by Paul E Pfeiffer
Changes: 
Content

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American Chemical Society (ACS) Style Guide:

Pfeiffer, P. Simple Random Samples and Statistics, Connexions Web site. http://cnx.org/content/m23496/1.8/, Sep 18, 2009.

American Medical Assocation (AMA) Manual of Style:

Pfeiffer P. Simple Random Samples and Statistics [Connexions Web site]. September 18, 2009. Available at: http://cnx.org/content/m23496/1.8/.

American Psychological Assocation (APA) Publication Manual:

Pfeiffer, P. (2009, September 18). Simple Random Samples and Statistics. Retrieved from the Connexions Web site: http://cnx.org/content/m23496/1.8/

Chicago Manual of Style (Bibliography):

Pfeiffer, Paul. "Simple Random Samples and Statistics." Connexions. September 18, 2009. http://cnx.org/content/m23496/1.8/.

Chicago Manual of Style (Note):

Paul Pfeiffer, "Simple Random Samples and Statistics," Connexions, September 18, 2009, http://cnx.org/content/m23496/1.8/.

Chicago Manual of Style (Reference, in Author-Date style):

Pfeiffer, P. 2009. Simple Random Samples and Statistics. Connexions, September 18, 2009. http://cnx.org/content/m23496/1.8/.

Modern Languages Association (MLA) Style Manual:

Pfeiffer, Paul. Simple Random Samples and Statistics. Connexions. 18 Sep. 2009 <http://cnx.org/content/m23496/1.8/>.