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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: Copyright Holders: Maintainers: 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

 PDF: m23496_1.8.pdf PDF file, for viewing content offline and printing. Learn more. XML: m23496_1.8.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.

## Version History

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

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### American Chemical Society (ACS) Style Guide:

Pfeiffer, P. Simple Random Samples and Statistics, OpenStax-CNX 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 [OpenStax-CNX 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 OpenStax-CNX Web site: http://cnx.org/content/m23496/1.8/

### Chicago Manual of Style (Bibliography):

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

### Chicago Manual of Style (Note):

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

### Modern Languages Association (MLA) Style Manual:

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