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

note

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


Data

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

1

Maths

Physics

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


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


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