UAf2Q‖

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

note

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