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Table 4 Values of the regression coefficient (α1–α9) and associated probability (p value*) for each measured responses

From: Application of Box–Behnken design and desirability function in the development and optimization of self-nanoemulsifying drug delivery system for enhanced dissolution of ezetimibe

Coefficient Response
Y1 (nm) Y2 (%) Y3 (s) Y4 (%) Y5 (%)
α0 47.86 94.71 134.7 36.63 81.40
α1 + 0.1040 − 0.1679 +2.275 − 0.1218 − 0.5950
p value 0.000 0.000 0.000 0.000 0.000
α2 − 0.020 + 0.1749 − 2.204 + 0.1585 + 0.114
p value 0.000 0.000 0.000 0.000 0.000
α3 − 0.694 + 0.054 − 3.996 +0.258 +0.115
p value 0.027 0.143 0.000 0.052 0.004
α4 − 0.00126 + 0.000042 − 0.02042 − 0.001933 − 0.002263
p value 0.512 0.942 0.001 0.028 0.047
α5 + 0.00701 − 0.00162 + 0.05375 + 0.00057 + 0.00094
p value 0.248 0.364 0.002 0.773 0.732
α6 − 0.00092 − 0.00008 − 0.03833 − 0.00142 − 0.0031
p value 0.808 0.942 0.001 0.308 0.131
α7 + 0.00259 − 001349 − 0.00880 + 0.000449 + 0.003861
p value 0.091 0.016 0.007 0.351 0.001
α8 + 0.00439 − 0.000160 0.01167 + 0.000253 + 0.00254
p value 0.176 0.857 0.050 0.807 0.118
α9 − 0.0176 + 0.00136 + 0.0592 − 0.00391 + 0.00395
p value 0.176 0.705 0.023 0.365 0.496
Model statistics
R2 0.9965 0.9965 0.9970 0.9911 0.9968
Adjusted R2 0.9903 0.9903 0.9915 0.9751 0.9910
Model F value 160.05 160.00 183.37 61.86 172.90
Model p value < 0.0001 < 0.0001 < 0.0001 0.0001 < 0.0001
Lack of fit F value 17.17 1.11 0.9797 0.6681 11.88
Lack of fit p value 0.0555 0.5056 0.5410 0.6459 0.0786
  1. *p < 0.05 indicate significant terms