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Table 4 ANOVA and regression coefficients of the response surface models

From: Active packaging based on wheat germ protein isolate–Malva sylvestris leaf mucilage embedded with D-limonene nanoliposome: preparation and characterization

Response

Source

Sum of square

df

Mean square

Value F

Prob F

 

Model

46.23

9

5.14

14.35

0.0001***

 

x1

9.03

1

9.03

25.21

0.0005***

 

x2

2.4

1

2.4

6.71

0.0270**

 

x3

21.61

1

21.61

60.37

 < 0.0001***

 

x1x2

0.08

1

0.08

0.2235

0.6465 ns

x1x3

 

x2x3

7.22

1

7.22

20.17

0.0012***

x1x2

WVP (10–11 g/m s Pa)

x2x3

0.125

1

0.125

0.3492

0.5677 ns

 

x12

2.16

1

2.16

6.04

0.0339**

 

x22

0.0005

1

0.0005

0.0014

0.9706 ns

 

x32

0.2255

1

0.2255

0.63

0.4458 ns

 

Residual

3.58

10

0.3579

  
 

Lack of Fit

2.03

5

0.4052

 

0.3889 ns

 

Pure Error

1.55

5

0.3107

  
 

Model

825.66

9

91.74

24.01

 < 0.0001***

 

x1

511.23

1

511.23

133.8

 < 0.0001***

 

x2

54.76

1

54.76

14.33

0.0036***

 

x3

120.41

1

120.41

31.51

0.0002***

 

x1x2

0.6612

1

0.6612

0.1731

0.6862 ns

x1x3

Solubility (%)

x2x3

43.71

1

43.71

11.44

0.0070***

 

x1x2

3.25

1

3.25

0.8509

0.3780 ns

x2x3

 

x12

61.22

1

61.22

16.02

0.0025***

 

x22

3.75

1

3.75

0.9822

0.3450 ns

 

x32

21.28

1

21.28

5.57

0.0400**

 

Residual

38.21

10

3.82

  
 

Lack of Fit

27.95

5

5.59

2.73

0.1476 ns

 

Pure Error

10.26

5

2.05

  
 

Model

27.2

9

3.02

9.05

0.0010***

 

x1

2.21

1

2.21

6.61

0.0278**

 

x2

4.23

1

4.23

12.65

0.0052***

 

x3

12.77

1

12.77

38.22

0.0001***

 

x1x2

0.845

1

0.845

2.53

0.1428 ns

x1x3

Tensile Strength (MPa)

x2x3

2.21

1

2.21

6.6

0.0279**

 

x1x2

0.845

1

0.845

2.53

0.1428 ns

x2x3

 

x12

0.4009

1

0.4009

1.2

0.2990 ns

 

x22

0.0384

1

0.0384

0.115

0.7416 ns

 

x32

2.85

1

2.85

8.53

0.0153**

 

Residual

3.34

10

0.3341

  
 

Lack of Fit

0.9661

5

0.1932

0.4068

0.8270 ns

 

Pure Error

2.38

5

0.475

  
 

Model

737.21

9

81.91

26.07

 < 0.0001***

 

x1

205.21

1

205.21

65.3

 < 0.0001***

 

x2

19.6

1

19.6

6.24

0.0316**

 

x3

297.03

1

297.03

94.52

 < 0.0001***

 

x1x2

4.65

1

4.65

1.48

0.2517 ns

x1x3

Elongation (%)

x2x3

116.28

1

116.28

37

0.0001***

 

x1x2

1.9

1

1.9

0.605

0.4547 ns

x2x3

 

x12

18.14

1

18.14

5.77

0.0372**

 

x22

0.1309

1

0.1309

0.0417

0.8424 ns

 

x32

11.76

1

11.76

3.74

0.0818 ns

 

Residual

31.42

10

3.14

  
 

Lack of Fit

19.61

5

3.92

1.66

0.2958 ns

 

Pure Error

11.81

5

2.36

  
 

Model

0.0196

6

0.0033

17.21

 < 0.0001***

 

x1

0.013

1

0.013

68.42

 < 0.0001***

 

x2

0.0003

1

0.0003

1.32

0.2713 ns

 

x3

0.0044

1

0.0044

23.28

0.0003***

Thickness (mm)

x1x2

0.0006

1

0.0006

3.23

0.0954 ns

 

x1x3

0.001

1

0.001

5.35

0.0378**

x2x3

 

x1x2

0.0003

1

0.0003

1.65

0.2214 ns

x2x3

 

Residual

0.0025

13

0.0002

  
 

Lack of Fit

0.0011

8

0.0001

0.5293

0.7980 ns

 

Pure Error

0.0013

5

0.0003

  
 

Model

3338.08

9

370.9

92.61

 < 0.0001***

 

x1

26.24

1

26.24

6.55

0.0284**

 

x2

1.16

1

1.16

0.2886

0.6028 ns

 

x3

3083.54

1

3083.54

769.94

 < 0.0001***

 

x1x2

1.81

1

1.81

0.4507

0.5172 ns

x1x3

Antioxidant activity (%)

x2x3

19.22

459930524115395001

19.22

4.8

0.0533 ns

 

x1x2

0.605

1

0.605

0.1511

0.7057 ns

x2x3

 

x12

14.43

1

14.43

3.6

0.0869 ns

 

x22

0.1202

1

0.1202

0.03

0.8659 ns

 

x32

150.96

1

150.96

37.69

0.0001***

 

Residual

40.05

10

4

  
 

Lack of Fit

13.34

5

2.67

0.4992

0.7680 ns

 

Pure Error

26.71

5

5.34