Table 3 Findings of ANOVA.

From: Exploring the synergy between aluminum powder and silica fume in enhancing lightweight concrete characteristics

Responses

Source

Sum of squares

Df

Mean square

F-value

P-value

Significance

Slump

Model

1443.97

2

721.98

177.19

 < 0.0001

Significant

A-SF

1188.26

1

1188.26

291.62

 < 0.0001

 

B-AP

255.70

1

255.70

62.75

 < 0.0001

 

Residual

52.97

13

4.07

   

Lack of fit

52.97

8

6.62

   

Pure error

0.000

5

0.000

   

Cor total

1496.94

15

    

Compressive strength

Model

374.88

2

187.44

235.71

 < 0.0001

Significant

A-SF

31.58

1

31.58

39.72

 < 0.0001

 

B-AP

343.30

1

343.30

431.71

 < 0.0001

 

Residual

10.34

13

0.7952

   

Lack of fit

10.34

8

1.29

   

Pure error

0.0000

5

0.0000

   

Cor total

385.22

15

    

Split tensile strength

Model

3.81

2

1.90

85.44

 < 0.00010

Significant

A-SF

0.1812

1

0.1812

8.14

0.0136

 

B-AP

3.62

1

3.62

162.75

 < 0.0001

 

Residual

0.2895

13

0.0223

   

Lack of fit

0.2895

8

0.0362

   

Pure error

0.0000

5

0.0000

   

Cor total

4.10

15

    

Flexural strength

Model

3.41

5

0.6815

208.59

 < 0.0001

Significant

A-SF

0.3546

1

0.3546

108.53

 < 0.0001

 

B-AP

2.80

1

2.80

858.55

 < 0.0001

 

AB

0.0165

1

0.0165

5.05

0.0485

 

A2

0.0340

1

0.0340

10.40

0.0091

 

B2

0.0306

1

0.0306

9.37

0.0120

 

Residual

0.0327

10

0.0033

   

Lack of fit

0.0327

5

0.0065

   

Pure error

1.154E-11

5

2.307E-12

   

Cor total

3.44

15

    

Modulus of elasticity

Model

44.59

2

22.29

268.53

 < 0.0001

Significant

A-SF

3.73

1

3.73

44.89

 < 0.0001

 

B-AP

40.85

1

40.85

492.18

 < 0.0001

 

Residual

1.08

13

0.0830

   

Lack of fit

1.08

8

0.1349

   

Pure error

1.071E-09

5

2.141E-10

   

Cor total

45.66

15

    

Ultrasonic pulse velocity

Model

2.88

5

0.5756

111.48

 < 0.0001

Significant

A-SF

0.3294

1

0.3294

63.80

 < 0.0001

 

B-AP

2.13

1

2.13

413.41

 < 0.0001

 

AB

0.0209

1

0.0209

4.06

0.0717

 

A2

0.1613

1

0.1613

31.25

0.0002

 

B2

0.0090

1

0.0090

1.74

0.2169

 

Residual

0.0516

10

0.0052

   

Lack of fit

0.0516

5

0.0103

   

Pure error

0.0000

5

0.0000

   

Cor total

2.93

15

    

Density

Model

5.251E + 05

9

58,340.17

4325.91

 < 0.0001

Significant

A-SF

218.67

1

218.67

16.21

0.0069

 

B-AP

8011.78

1

8011.78

594.07

 < 0.0001

 

AB

62,208.00

1

62,208.00

4612.71

 < 0.0001

 

A2

6227.53

1

6227.53

461.77

 < 0.0001

 

B2

1804.87

1

1804.87

133.83

 < 0.0001

 

A2B

6601.17

1

6601.17

489.48

 < 0.0001

 

AB2

23,005.12

1

23,005.12

1705.83

 < 0.0001

 

A3

3339.20

1

3339.20

247.60

 < 0.0001

 

B3

8275.71

1

8275.71

613.64

 < 0.0001

 

Residual

80.92

6

13.49

   

Lack of fit

80.92

1

80.92

   

Pure error

0.0000

5

0.0000

   

Cor total

5.251E + 05

15

    

Water Absorption

Model

41.88

9

4.65

1015.42

 < 0.0001

Significant

A-SF

0.7224

1

0.7224

157.65

 < 0.0001

 

B-AP

0.3531

1

0.3531

77.06

0.0001

 

AB

0.7105

1

0.7105

155.06

 < 0.0001

 

A2

0.8306

1

0.8306

181.25

 < 0.0001

 

B2

0.0250

1

0.0250

5.45

0.0583

 

A2B

0.0572

1

0.0572

12.48

0.0123

 

AB2

0.1587

1

0.1587

34.63

0.0011

 

A3

0.0045

1

0.0045

0.9729

0.3621

 

B3

0.7196

1

0.7196

157.04

 < 0.0001

 

Residual

0.0275

6

0.0046

   

Lack of fit

0.0275

1

0.0275

   

Pure error

0.0000

5

0.0000

   

Cor total

41.90

15

    
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