Table 3.

Results of variance analysis of quadratic multinomial simulation.

Source	Sum of square	DF	Mean square	F value	P value	Significance
Model	69.96	9	7.77	164.54	< 0.0001	**
X1	0.26	1	0.26	5.56	0.0504
X2	2.00	1	2.00	42.34	0.0003	**
X3	0.60	1	0.60	12.69	0.0092	**
X1 X2	0.23	1	0.23	4.78	0.0651
X1 X3	1.60 × 10−3	1	1.60 × 10−3	0.034	0.8592
X2 X3	0.31	1	0.31	6.52	0.0379	*
X${}_1^2$	8.29	1	8.29	175.44	< 0.0001	**
X${}_2^2$	11.54	1	11.54	244.27	< 0.0001	**
X${}_3^2$	40.80	1	40.80	863.70	< 0.0001	**
Lack of Fit	0.26	3	0.086	4.76	0.0828
Pure Error	0.072	4	0.018
Cor total	70.292	16	R2 = 0.9953, R${}_{\text{Adj}}^2$ = 0.9892

^*was significant at the 5% level (P < 0.05); ^**was significant at the 1% level (P < 0.01).