Analysis of Variance (ANOVA)

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

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From the menu bar:

Choose Data - Statistics - Analysis of Variance (ANOVA)

From the tabbed interface:

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

On the Data menu of the Data tab, choose 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.


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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.

αƒ’αƒ˜αƒžαƒ˜

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

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Alpha: the level of significance of the test.

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

Open file with example:

αƒ›αƒαƒ’αƒαƒšαƒ˜αƒ—αƒ˜

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 - αƒ”αƒ αƒ—αƒ˜ Ⴠაαƒ₯αƒ’αƒαƒ αƒ˜

alpha

0.05

αƒ―αƒ’αƒ£αƒ€αƒ”αƒ‘αƒ˜

αƒ—αƒ•αƒšαƒ

αƒ―αƒαƒ›αƒ˜

αƒ‘αƒαƒ¨αƒ£αƒαƒšαƒ

αƒ“αƒ˜αƒ‘αƒžαƒ”αƒ αƒ‘αƒ˜αƒ

Column 1

11

461

41.9090909091

139.4909090909

Column 2

10

597

59.7

287.1222222222

Column 3

10

447

44.7

227.3444444444

αƒ“αƒ˜αƒ‘αƒžαƒ”αƒ αƒ‘αƒ˜αƒ˜αƒ‘ წყარო

SS

df

MS

F

P-αƒ›αƒœαƒ˜αƒ¨αƒ•αƒœαƒ”αƒšαƒαƒ‘αƒ

F-critical

ჯგუჀებბ αƒ¨αƒαƒ αƒ˜αƒ‘

1876.5683284457

2

938.2841642229

4.3604117704

0.0224614952

3.340385558

αƒ―αƒ’αƒ£αƒ€αƒ”αƒ‘αƒ˜αƒ‘ αƒ¨αƒ˜αƒ’αƒœαƒ˜αƒ—

6025.1090909091

28

215.1824675325

αƒ‘αƒ£αƒš

7901.6774193548

30


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