Analysis of Variance: A One Way ANOVA Example Term Paper by cardamine

A discussion of various analyses of variance (ANOVA) procedures with an example of a one way ANOVA.
# 150965 | 1,059 words | 5 sources | APA | 2012 | US
Published on May 15, 2012 in Mathematics (General)


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Description:

The paper examines how analysis of variance (ANOVA) is a group of statistical tests that compare the means of a particular dependent variable(s) under three or more levels of a particular independent variable (s). ). It allows for the testing of the hypothesis that the variation in an experiment is no greater than that due to normal variation found in a sample of subjects and the error in their measurement. A hypothetical example is provided together with calculations. Other forms of ANOVA are mentioned. This paper contains equations and tables.

From the Paper:

"Analysis of variance (ANOVA) is a group of statistical tests that compare the means of a particular dependent variable(s) under three or more levels of a particular independent variable (s). It allows for the testing of the hypothesis that the variation in an experiment is no greater than that due to normal variation found in a sample of subjects and the error in their measurement. The tests in an ANOVA are based on the F-ratio: the variation due to an experimental treatment or effect divided by the variation due to experimental error. The null hypothesis is that this ratio equals 1.0, or the treatment effect is the same as the experimental error. This hypothesis is rejected if the F-ratio is significantly large enough that the possibility of it equaling 1.0 is smaller than the preset value of alpha. ANOVA allows multiple comparisons of means and variances at the same time. Hence, it prevents the multiplicative error that would be generated by using multiple t-tests to compare all the combinations of means (Plonsky, 2006a)."

Sample of Sources Used:

  • Freund, J. (1984). Modern Elementary Statistics. Englewood Cliffs, NJ: Prentice-Hall.
  • Hall, R. (1998). Tukey's HSD post hoc test steps. Retrieved November 23, 2007 from Web site: http://web.umr.edu/~psyworld/tukeyssteps.htm.
  • Plonsky, M. (2006a). Analysis of variance - one way. Retrieved November 23, 2007 from Psychological Statistics Web site: http://www.uwsp.edu/psych/stat/ 12/anova-1w.htm.
  • Plonsky, M. (2006b). Analysis of variance - two way. Retrieved November 23, 2007 from Psychological Statistics Web site: http://www.uwsp.edu /psych/stat/12/anova - 2w.htm.
  • Trochim, M. (2006). Factorial designs. Retrieved November 21, 2007 from Research Methods: Knowledge Base Web site: http://www.socialresearchmethods.net/kb/expfact.php.

Cite this Term Paper:

APA Format

Analysis of Variance: A One Way ANOVA Example (2012, May 15) Retrieved May 10, 2021, from https://www.academon.com/term-paper/analysis-of-variance-a-one-way-anova-example-150965/

MLA Format

"Analysis of Variance: A One Way ANOVA Example" 15 May 2012. Web. 10 May. 2021. <https://www.academon.com/term-paper/analysis-of-variance-a-one-way-anova-example-150965/>

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