Table 3 ANOVA Results.

From: Optimization of durability characteristics of engineered cementitious composites combined with titanium dioxide as a nanomaterial applying RSM modelling

Response

Source

Sum of squares

Df

Mean square

F-value

p-value > F

Significance

Compressive strength

Model

620.43

5

124.09

510.58

 < 0.0001

Yes

A- TiO2

254.77

1

254.77

1048.32

 < 0.0001

Yes

B-PVA Fiber

97.59

1

97.59

401.57

 < 0.0001

Yes

AB

4.78

1

4.78

19.68

0.0030

Yes

A2

218.48

1

218.48

899.01

 < 0.0001

Yes

B2

0.069

1

0.069

0.28

0.6115

No

Residual

1.70

7

0.24

   

Lack of Fit

1.70

3

0.57

   

Pure Error

0.000

4

0.000

   

Cor Total

622.13

12

    

Tensile strength

Model

4.47

5

0.89

114.73

 < 0.0001

Yes

A-TiO2

1.41

1

1.41

180.54

 <0.0001

Yes

B-PVA Fiber

0.66

1

0.66

84.08

 <0.0001

Yes

AB

0.039

1

0.039

5.04

0.0597

No

A2

2.09

1

2.09

267.54

 <0.0001

Yes

B2

9.939E−003

1

9.939E−003

1.27

0.2960

No

Residual

0.055

7

7.796E−003

   

Lack of Fit

0.055

3

0.018

   

Pure Error

0.000

4

0.000

   

Weight loss

Model

16.97

5

3.39

83.55

 < 0.0001

Yes

A- TiO2

1.67

1

1.67

41.14

0.0004

Yes

B-PVA Fiber

8.15

1

8.15

200.73

 < 0.0001

Yes

AB

0.22

1

0.22

5.30

0.0549

No

A2

5.74

1

5.74

141.41

 < 0.0001

Yes

B2

0.020

1

0.020

0.49

0.5055

No

Residual

0.28

7

0.041

   

Lack of Fit

0.28

3

0.095

   

Pure Error

0.000

4

0.000

   

Cor Total

17.25

12

    

CS due to acid attack

Model

609.55

5

121.91

612.82

 < 0.0001

Yes

A- TiO2

240.41

1

240.41

1208.48

 < 0.0001

Yes

B-PVA Fiber

95.41

1

95.41

479.61

 < 0.0001

Yes

AB

3.31

1

3.31

16.64

0.0047

Yes

A2

224.82

1

224.82

1130.12

 < 0.0001

Yes

B2

0.22

1

0.22

1.11

0.3262

No

Residual

1.39

7

0.20

   

Lack of Fit

1.39

3

0.46

   

Pure Error

0.000

4

0.000

   

Cor Total

610.94

12

    

pH value

Model

1.08

2

0.54

189.14

 < 0.0001

Yes

A- TiO2

0.79

1

0.79

278.10

 < 0.0001

Yes

B-PVA Fiber

0.42

1

0.42

147.84

 < 0.0001

Yes

Residual

0.028

10

2.845E−003

   

Lack of Fit

0.028

6

4.741E−003

   

Pure Error

0.000

4

0.000

   

Cor Total

1.10

12

    

RCPT

Model

6.866E+005

5

1.373E+005

70.39

 < 0.0001

Yes

A- TiO2

8728.20

1

8728.20

4.47

0.0722

No

B-PVA Fiber

1.405E+005

1

1.405E+005

72.02

 < 0.0001

Yes

AB

3669.10

1

3669.10

1.88

0.2126

No

A2

5.385E+005

1

5.385E+005

276.02

 < 0.0001

Yes

B2

2834.12

1

2834.12

1.45

0.2673

No

Residual

13,656.97

7

1951.00

   

Lack of Fit

13,656.97

3

4552.32

   

Pure Error

0.000

4

0.000

   

Cor Total

7.003E+005

12

    

Expansion

Model

1.505E−005

5

3.010E−006

536.63

 < 0.0001

Yes

A- TiO2

6.146E−006

1

6.146E−006

1095.67

 < 0.0001

Yes

B-PVA Fiber

1.694E−006

1

1.694E−006

301.97

 < 0.0001

Yes

AB

9.253E−008

1

9.253E−008

16.50

0.0048

Yes

A2

6.057E−006

1

6.057E−006

1079.86

 < 0.0001

Yes

B2

4.165E−009

1

4.165E−009

0.74

0.4174

No

Residual

3.926E−008

7

5.609E−009

   

Lack of Fit

3.926E−008

3

1.309E−008

   

Pure Error

0.000

4

0.000

   

Cor Total

1.509E−005

12

    

CS due to sulfate attack

Model

612.14

5

122.43

1052.04

 < 0.0001

Yes

A- TiO2

251.11

1

251.11

2157.78

 < 0.0001

Yes

B-PVA Fiber

108.45

1

108.45

931.89

 < 0.0001

Yes

AB

2.10

1

2.10

18.08

0.0038

Yes

A2

200.62

1

200.62

1723.91

 < 0.0001

Yes

B2

0.021

1

0.021

0.18

0.6862

No

Residual

0.81

7

0.12

   

Lack of Fit

0.81

3

0.27

   

Pure Error

0.000

4

0.000

   

Cor Total

612.96

12

    

Apparent porosity

Model

57.78

5

11.56

151.90

 < 0.0001

Yes

A-TiO2

4.95

1

4.95

65.02

 < 0.0001

Yes

B-PVA Fiber

18.14

1

18.14

238.52

 < 0.0001

Yes

AB

0.33

1

0.33

4.32

0.0761

No

A2

33.30

1

33.30

437.71

 < 0.0001

Yes

B2

0.021

1

0.021

0.28

0.6117

No

Residual

0.53

7

0.076

   

Lack of Fit

0.53

3

0.18

   

Pure Error

0.000

4

0.000

   

Cor Total

58.31

12