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Table 2 Regression coefficients, significance probability ( p -value and F-ratio), R2and R2 (adj) values for the final reduced second-order polynomial models

From: Influence of astaxanthin, emulsifier and organic phase concentration on physicochemical properties of astaxanthin nanodispersions

Term a

Particle size (nm)

PDI

Astaxanthin loss (%)

Coefficient

F-value

p-value

Coefficient

F-ratio

p-value

Coefficient

F-ratio

p-value

Constant

133.089

82.99

0.00

0.41996

23.09

0.000

66.040

73.46

0.000

Linear

x1

32.485

0.23

0.642 b

0.379193

55.52

0.000

−133.685

28.91

0.000

x2

−19.755

8.61

0.019

0.014151

0.33

0.572b

−28.809

39.43

0.000

x3

−3.702

30.25

0.001

−0.00196

1.83

0.197b

0.556

5.00

0.047

Quadratic

x12

627.664

30.24

0.001

NSb

NSb

NSb

NSb

NSb

NSb

x22

5.243

21.10

0.002

0.01759

15.59

0.001

5.139

3.70

0.001

x32

0.072

40.14

0.000

NSb

NSb

NSb

NS

NS

NS

Interaction

x1x2

−63.450

14.07

0.006

NSb

NSb

NSb

65.529

30.51

0.000

x1x3

−4.689

7.68

0.024

NSb

NSb

NSb

NSb

NSb

NSb

x2x3

0.998

34.82

0.000

0.00162

5.63

0.033

−0.39591

11.55

0.006

R2

0.963

0.980

0.942

R2 (adj)

0.913

0.968

0.900

  1. a x1, x2 and x3 are astaxanthin concentration, emulsifier concentration and organic phase concentration, respectively.
  2. b (NS) not significant (p > 0.05).