# Analysis of Variance (ANOVA)

Produces the analysis of variance (ANOVA) of a given data set

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Choose Data - Statistics - Analysis of Variance (ANOVA)

ANOVA is the acronym for ANalysis Of VAriance. This tool produces the analysis of variance of a given data set

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Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

#### Grouped By

Select whether the input data has columns or rows layout.

## Type

Select if the analysis is for a single factor or for two factor ANOVA.

## Parameters

Alpha: the level of significance of the test.

Rows per sample: Define how many rows a sample has.

#### Example

The following data will be used as example

 A B C 47 67 33 36 68 42 40 65 44 39 64 60 38 43 47 84 62 29 80 51 27 49 40 57 49 12 56 33 60 57 26

The following table displays the results of the analysis of variance (ANOVA) of the sample data above.

 ANOVA - Single Factor Alpha 0.05 Groups Count Sum Mean Variance Column 1 11 461 41.9090909091 139.4909090909 Column 2 10 597 59.7 287.1222222222 Column 3 10 447 44.7 227.3444444444 Source of Variation SS df MS F P-value F-critical Between Groups 1876.5683284457 2 938.2841642229 4.3604117704 0.0224614952 3.340385558 Within Groups 6025.1090909091 28 215.1824675325 Total 7901.6774193548 30