Definition:Analysis of Variance

Definition

Analysis of variance is the statistical technique of partitioning the variance of a set of data into a number of components.

Each such component is associated with a particular source of variance, such as:

treatments

design groupings

error

and so on.

Also see

• Results about analysis of variance can be found here.

Historical Note

The technique of analysis of variance was introduced around about $1921$ by Ronald Aylmer Fisher.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): analysis of variance (ANOVA)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): analysis of variance (ANOVA)
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): variance, analysis of