Table 3.

Results of the general linear multiple regression model for the 3³ factorial design for ¹TPC, % ²DPPH, ³FRAP and ⁴TFC in the pretreated hemp cake extracts

Test of between-subjects effects	Sum of squares	DF	Mean square	f-value	p-value
Total phenolic content (TPC)
Temperature (X1)	71.178	2	35.589	40.151	0.000
Time (X2)	51.901	2	25.951	29.277	0.000
Extracting Solvent (X3)	2048.257	2	1024.129	1155.418	0.000
Temperature*Time (X1*X2)	2.802	4	0.700	0.790	0.537
Temperature*Extracting solvent (X1*X3)	5.916	4	1.479	1.669	0.171
Time*Extracting solvent (X2*X3)	8.121	4	2.030	2.291	0.072
Temperature*Time*Extracting solvent (X1*X2*X3)	11.763	8	1.470	1.659	0.131
Error	46.978	53	0.886
Total	41,218.807	80
Free radical scavenging effect (DPPH)
Temperature (X1)	12.174	2	6.807	3.365	0.042
Time (X2)	1.592	2	0.796	0.440	0.646
Extracting solvent (X3)	1403.924	2	701.962	388.080	0.000
Temperature*Time (X1*X2)	17.525	4	4.381	2.422	0.060
Temperature*Extracting solvent (X1*X3)	105.767	4	26.442	14.618	0.000
Time*Extracting solvent (X2*X3)	10.968	4	2.742	1.516	0.211
Temperature*Time*Extracting solvent (X1*X2*X3)	44.815	8	5.602	3.097	0.006
Error	94.058	52	1.809
Total	27,616.731	79
Ferric reducing antioxidant power (FRAP)
Temperature (X1)	0.094	2	0.047	36.285	0.000
Time (X2)	0.053	2	0.026	36.285	0.000
Extracting solvent (X3)	2.486	2	1.243	956.328	0.000
Temperature*Time (X1*X2)	0.013	4	0.003	2.493	0.054
Temperature*Extracting solvent (X1*X3)	0.065	4	0.016	12.433	0.000
Time*Extracting solvent (X2*X3)	0.016	4	0.004	3.164	0.021
Temperature*Time*Extracting solvent (X1*X2*X3)	0.031	8	0.004	2.989	0.008
Error	0.070	54
Total	25.360	81
Total flavonoids (TFC)
Temperature (X1)	0.019	2	0.010	104.093	0.000
Time (X2)	0.006	2	0.003	32.173	0.000
Extracting solvent (X3)	0.584	2	0.292	3451.773	0.000
Temperature*Time (X1*X2)	0.007	4	0.002	19.853	0.000
Temperature*Extracting solvent (X1*X3)	0.012	4	0.003	32.653	0.000
Time*Extracting solvent (X2*X3)	0.009	4	0.002	23.973	0.000
Temperature*Time*Extracting solvent (X1*X2*X3)	0.004	8	0.000	4.933	0.000
Error	0.005	54	0.000
Total	5.264	81

¹TPC: total phenolic content; ²DPPH: 2,2-diphenyl-1-picrylhydrazyl; ³FRAP: Ferric reducing ability of plasma; ⁴TFC: total flavonoid content; DF: degrees of freedom