Table 6 Coefficient estimates from the third-order model without interactions

Variable Parameter estimate Standard error t-value p-value
Intercept b0=8.83360 0.04816 183.43 <0.0001
D1 a1=0.15174 0.06305 2.41 0.0271
D2 a2=0.03152 0.06305 0.5 0.6232
D3 a3=0.05973 0.06305 0.95 0.356
D4 a4=0.00487 0.06305 0.08 0.9393
D5 a5=–0.10291 0.07722 –1.33 0.1993
X1 b1=0.03475 0.02730 1.27 0.2193
X12 b11=–0.05776 0.01672 –3.45 0.0028
X13 b111=–0.00179 0.01115 –0.16 0.8744
X2 b2=–0.07333 0.02730 –2.69 0.0151
X22 b22=–0.05618 0.01672 –3.36 0.0035
X23 b222=0.03809 0.01115 3.42 0.0031
X3 b3=0.12919 0.04550 2.84 0.0109
X32 b33=–0.03073 0.01672 –1.84 0.0826
X33 b333=0.02497 0.01439 1.74 0.0998
X4 b4=–0.01489 0.04550 –0.33 0.7472
X42 b44=0.04051 0.01672 2.42 0.0262
X43 b444=0.01570 0.01439 1.09 0.2896