Table 3 Sequential model sum of squares analyzed for responses (Z-average, PDI, zeta potential, creaming index, interfacial tension, and encapsulation efficiency of primary and double emulsions)

Mean vs total

1

4.646

1

11.77

Linear vs mean

3

1.033

14.09

 < 0.0001

3

1.30

25.49

 < 0.0001

2FI vs linear

3

1.718

3.40

0.0506

3

0.1192

3.38

0.0510

Quadratic vs 2FI

3

1.367

5.51

0.0170

3

0.0719

2.96

0.0839

Cubic vs quadratic

4

66,362.59

6.12

0.0260

4

0.0648

6.05

0.0267

residual

6

16,274.01

6

0.0161

Total

20

6.070

20

13.34

Mean vs total

1

25,948.81

1

881.13

Linear vs mean

3

3428.59

50.95

 < 0.0001

3

74.07

8.85

0.0011

2FI vs linear

3

56.48

0.8093

0.5110

3

4.00

0.4265

0.7373

Quadratic vs 2FI

3

132.39

2.60

0.1106

3

36.64

30.60

 < 0.0001

Cubic vs quadratic

4

127.44

4.49

0.0511

4

1.43

0.8354

0.5493

residual

6

42.59

6

2.56

Total

20

29,736.30

20

999.82

Mean vs Total

1

835.92

1

1.268

Linear vs Mean

3

645.86

40.68

 < 0.0001

3

2360.99

31.47

 < 0.0001

2FI vs Linear

3

3.37

0.1796

0.9083

3

32.93

0.3887

0.7631

Quadratic vs 2FI

3

62.69

11.23

0.0015

3

343.34

47.97

 < 0.0001

Cubic vs Quadratic

4

10.15

1.80

0.2473

4

12.76

1.72

0.2623

residual

6

8.46

6

11.10

Total

20

1566.45

20

1.296

Mean vs Total

1

1.588

Linear vs Mean

3

1457.60

16.25

 < 0.0001

2FI vs Linear

3

8.94

0.0825

0.9684

Quadratic vs 2FI

3

446.66

65.36

 < 0.0001

Cubic vs Quadratic

4

8.63

0.9143

0.5123

residual

6

14.15

Total

20

1.607