Table 13 Variance analysis of the quadratic polynomial regression model of the relative error between the Box-Behnken experiment and the measured compressive strength.

From: Research on coal rock parameter calibration based on discrete element method

Source of variance

Quadratic sum

Freedom

Mean square

F-value

Significance level P

Model

997.5

14

71.25

67.57

 < 0.0001

A

16.66

1

16.66

15.80

0.0018

B

309.58

1

309.58

293.59

 < 0.0001

C

487.69

1

487.69

462.51

 < 0.0001

D

166.88

1

166.88

158.26

 < 0.0001

AB

1.27

1

1.27

1.20

0.2948

AC

0.0006

1

0.0006

0.0006

0.9810

AD

0.2304

1

0.2304

0.2185

0.6486

BC

6.15

1

6.15

5.83

0.0326

BD

2.59

1

2.59

2.46

0.1429

CD

1.13

1

1.13

1.08

0.3201

A2

0.0228

1

0.0228

0.0216

0.8855

B2

3.47

1

3.47

3.29

0.0447

C2

0.1917

1

0.1917

0.1818

0.6774

D2

0.9483

1

0.9483

0.8993

0.3617

residual error

12.65

12

1.05

  

loss of fit term

11.95

10

1.19

3.39

0.2492

pure error

0.7049

2

0.3524

  

Sum

1010.16

26

   

R2 = 0.9875 R2Adj = 0.9729 C = 7.77% Adeq precision = 29.9309