Skip to main content

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).