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Table 3 Significance differences between groups using analysis of variation

From: Polytechnic engineering mathematics: assessing its relevance to the productivity of industries in Uganda

Null (H0)

Source of variation

SS

df

MS

F-statistic

H01

Between groups

372.11

6

62.02

1.81

Within groups

8277.49

242

34.20

 

Total

8649.60

248

  

H02

Between groups

625.85

6

104.31

7.16

Within groups

3525.36

242

14.57

 

Total

4152.20

248

  

H03

Between groups

14,024.32

6

2337.55

28.77

Within groups

19,662.31

242

81.25

 

Total

33,687.63

248

  

H04

Between groups

32.847.11

6

5474.52

30.20

Within groups

43,865.13

242

181.26

 

Total

76,712.24

248

  

H05

Between groups

34.12

2

17.06

0.47

Within groups

4349.05

120

36.24

 

Total

4383.17

122

  

H06

Between groups

30.71

2

25.35

2.33

Within groups

1304.65

120

10.87

 

Total

1355.35

122

  

H07

Between groups

2360.43

2

1180.21

7.32

Within groups

19,353.70

120

161.28

 

Total

21,714.12

122

  

H08

Between groups

3577.50

2

1788.75

6.71

Within groups

32,009.93

120

266.75

 

Total

35,587.43

122

  
  1. F-statistic stands for the quotient MS (between groups)/MS (within groups)
  2. SS sum squares, df degrees of freedom, MS SS/df for the particular source of variation