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The SAGE Encyclopedia of Social Science Research Methods

Michael S. Lewis-Beck & Alan Bryman & Tim Futing Liao

Pub. date: 2004 | DOI: http://dx.doi.org/10.4135/9781412950589

Print ISBN: 9780761923633 | Online ISBN: 9781412950589

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Encyclopedia Entry

Analysis of Variance (ANOVA)

Gudmund R. Iversen

Analysis of variance is the name given to a collection of statistical methods used to analyze the impact of one or more nominal variables as independent variables on a quantitative variable as the dependent variable. For one nominal variable, there is one-way analysis of variance; for two nominal variables, there is two-way analysis of variance and so on for higher models. Data on several dependent variables can be analyzed using MANOVA (multivariate analysis of variance). A study of the impact of gender and race on income could employ analysis of variance to see whether mean incomes in the various gender/racial groups are different. It would perhaps be better to use a name such as analysis of means for these methods, but variances are actually used to determine whether group means are different—thus the name. Analysis of variance has its origins in the study of data from experiments. Many of the ...

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