ANOVA`
ANOVA`

# ANOVA

ANOVA[data]

performs a oneway analysis of variance.

ANOVA[data,model,vars]

performs an analysis of variance for model as a function of the categorical variables vars.

# Details and Options

• To use ANOVA, you first need to load the Analysis of Variance Package using Needs["ANOVA`"].
• The data can have the form {{x1,y1,,f1},{x2,y2,,f2},}, where the number of coordinates x,y, is equal to the number of variables in the list vars.
• For data of the form {{x1,f1},{x2,f2},}, a oneway analysis of variance can be obtained without explicitly specifying the model and variable.
• The model argument can be a list containing main effects and interactions. Main effects are elements of vars, and interactions are products of main effects.
• A full factorial model including all interactions between variables x,y, can be specified as {x,y,,All}.
• The following options can be given:
•  CellMeans True whether cell means should be included in the output WorkingPrecision MachinePrecision the precision used in internal computations PostTests {} significance tests to perform SignificanceLevel 0.05 significance level for performed tests
• Possible settings for PostTests include: Bonferroni, Duncan, Dunnett, StudentNewmanKeuls, and Tukey.

# Examples

open allclose all

## Basic Examples(2)

A oneway analysis of variance:

A twoway analysis of variance:

## Options(4)

### CellMeans(1)

Omit cell means from output:

### WorkingPrecision(1)

Computation at precision 20:

### PostTests(1)

Analysis of variance with Bonferroni test:

### SignificanceLevel(1)

Bonferroni test at significance level .01:

Wolfram Research (2007), ANOVA, Wolfram Language function, https://reference.wolfram.com/language/ANOVA/ref/ANOVA.html.

#### Text

Wolfram Research (2007), ANOVA, Wolfram Language function, https://reference.wolfram.com/language/ANOVA/ref/ANOVA.html.

#### CMS

Wolfram Language. 2007. "ANOVA." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ANOVA/ref/ANOVA.html.

#### APA

Wolfram Language. (2007). ANOVA. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ANOVA/ref/ANOVA.html

#### BibTeX

@misc{reference.wolfram_2024_anova, author="Wolfram Research", title="{ANOVA}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ANOVA/ref/ANOVA.html}", note=[Accessed: 15-July-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_anova, organization={Wolfram Research}, title={ANOVA}, year={2007}, url={https://reference.wolfram.com/language/ANOVA/ref/ANOVA.html}, note=[Accessed: 15-July-2024 ]}