ANOVA Algorithm

An ANOVA algorithm is a population mean difference analysis algorithm by partitioning the data into components attributable to different sources of variation.

AKA: Analysis of Variance, ANOVA.
Context:
- It attempts to eliminate variance that is due to other factors.
- It is closely related to Student's t-test.
- It can range from being, depending on the number of factors, a One-way ANOVA (used for a single-factor) to being a Two-way ANOVA (with or without interactions).
- …
Counter-Example(s):
See: Statistical Inference, MANOVA, ANCOVA, Hypothesis Testing.

References

(Wikipedia, 2013) ⇒ http://en.wikipedia.org/wiki/Analysis_of_variance
- Analysis of variance (ANOVA) is a collection of statistical models used to analyze the differences between group means and their associated procedures (such as "variation" among and between groups). In ANOVA setting, the observed variance in a particular variable is partitioned into components attributable to different sources of variation. In its simplest form, ANOVA provides a statistical test of whether or not the means of several groups are equal, and therefore generalizes t-test to more than two groups. Doing multiple two-sample t-tests would result in an increased chance of committing a type I error. For this reason, ANOVAs are useful in comparing (testing) three or more means (groups or variables) for statistical significance.

(WordNet, 2009) ⇒ http://wordnetweb.princeton.edu/perl/webwn?s=analysis%20of%20variance
- S: (n) analysis of variance, ANOVA (a statistical method for making simultaneous comparisons between two or more means; a statistical method that yields values that can be tested to determine whether a significant relation exists between variables)

http://www.statistics.com/resources/glossary/a/anova.php
- QUOTE: Analysis of Variance (ANOVA): A statistical technique which helps in making inference whether three or more samples might come from populations having the same mean; specifically, whether the differences among the samples might be caused by chance variation.

(Upton & Cook, 2008) ⇒ Graham Upton, and Ian Cook. (2008). “A Dictionary of Statistics, 2nd edition revised.” Oxford University Press. ISBN:0199541450
- QUOTE: ANOVA (analysis of variance): The attribution of variation in a *variable to variations in one or more explanatory variables. The term was introduced by Sir Ronald Fisher in 1918.
  A measure of the total variability in a set of *data is given by the sum of squared differences of the *observations from their overall *mean This is the total sum of squares (TSS). lt is often possible to subdivide this quantity into components that are identified with different causes of variation. The full subdivision is usually set out in an analysis of variance table …

(Starbird, 2006) ⇒ Michael Starbird. (2006). “Meaning from Data: Statistics Made Clear.” The Teaching Company
- QUOTE: analysis of variance (ANOVA): A procedure of statistical analysis by which differences in means of two or more groups can be assessed after eliminating variance that is due to other factors.