CGf5i‖ANOVA

Contents
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# cMChc‖Analysis of Variance (ANOVA)

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

To access this command...

#### ebLJB‖From the menu bar:

FFnVq‖Choose Data - Statistics - Analysis of Variance (ANOVA)

#### qBbLh‖From the tabbed interface:

WPdhU‖Choose Data - Statistics - Analysis of Variance (ANOVA).

ga5od‖On the Data menu of the Data tab, choose Statistics - Analysis of Variance (ANOVA).

r9GGt‖ANOVA is the acronym for ANalysis Of VAriance. This tool produces the analysis of variance of a given data set

WTgyZ‖For more information on ANOVA, refer to the corresponding Wikipedia article.

### Emvqi‖Data

NEiJ8‖Input Range: The reference of the range of the data to analyze.

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

#### CxAAD‖Grouped By

AppmZ‖Select whether the input data has columns or rows layout.

## Lw9W4‖Type

t2j8D‖Select if the analysis is for a single factor or for two factor ANOVA.

## msAwu‖Parameters

ARzmU‖Alpha: the level of significance of the test.

PyK5A‖Rows per sample: Define how many rows a sample has.

#### MiUAf‖Example

YyThq‖The following data will be used as example

| A | B | C
--- | --- | --- | ---
1 | U37rK‖Maths | EQ45W‖Physics | AEvwX‖Biology
2 | 47 | 67 | 33
3 | 36 | 68 | 42
4 | 40 | 65 | 44
5 | 39 | 64 | 60
6 |  | 38 | 43
7 | 47 | 84 | 62
8 | 29 | 80 | 51
9 | 27 | 49 | 40
10 | 57 | 49 | 12
11 | 56 | 33 | 60
12 | 57 |  |
13 | 26 |  |

5yBo2‖The following table displays the results of the analysis of variance (ANOVA) of the sample data above.

5uDqB‖ANOVA - Single Factor
AzFd3‖Alpha | 0.05 |
Dvbo3‖Groups | L6VAY‖Count | G9fqK‖Sum | n2Ayi‖Mean | CnFDW‖Variance |
2LDkn‖Column 1 | 11 | 461 | 41.9090909091 | 139.4909090909 |
p6hJA‖Column 2 | 10 | 597 | 59.7 | 287.1222222222 |
6jqh4‖Column 3 | 10 | 447 | 44.7 | 227.3444444444 |
d3ASg‖Source of Variation | CrpJv‖SS | 3BARp‖df | YhWBw‖MS | KV6Cy‖F | QRdrB‖P-value | Vabri‖F-critical
RR2va‖Between Groups | 1876.5683284457 | 2 | 938.2841642229 | 4.3604117704 | 0.0224614952 | 3.340385558
tpzCU‖Within Groups | 6025.1090909091 | 28 | 215.1824675325 |
Lcu3C‖Total | 7901.6774193548 | 30 |

Related Topics

Sampling

Descriptive Statistics

Analysis of Variance (ANOVA)

Correlation

Covariance

Exponential Smoothing

Moving Average

Regression Analysis

Paired t-test

F-test

Z-test

Chi-square test

Fourier Analysis

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