Table 6 ANOVA of the regression models.

From: Uniaxial compressive strength of cemented coal gangue backfill based on response surface methodology

Source

Sum of squares

Mean square

Degree of freedom

F value

P value (Prob > F)

Y1

Y2

Y1

Y2

Y1

Y2

Y1

Y2

Y1

Y2

Model

4.73

0.11

0.53

0.012

9

9

36.07

46.82

0.0005a

0.0003a

X1

3.41

0.019

3.41

0.019

1

1

233.92

74.45

< 0.0001a

0.0003a

X2

1.14

0.016

1.14

0.016

1

1

78.26

63.41

0.0003a

0.0005a

X3

1.445 × 10− 4

8.450 × 10− 5

1.445 × 10− 4

8.450 × 10− 5

1

1

9.912 × 10− 3

0.33

0.9246

0.5891

X1 X2

0.017

5.290 × 10− 4

0.017

5.290 × 10− 4

1

1

1.15

2.08

0.3325

0.2086

X1 X 3

0.013

1.102 × 10− 4

0.013

1.102 × 10− 4

1

1

0.92

0.43

0.3808

0.5392

X2 X 3

1.521 × 10− 3

6.250 × 10− 6

1.521 × 10− 3

6.250 × 10− 6

1

1

0.10

0.025

0.7598

0.8815

X12

0.016

1.368 × 10− 3

0.016

1.368 × 10− 3

1

1

1.07

5.39

0.3481

0.0680

X22

0.016

2.308 × 10− 7

0.016

2.308 × 10− 7

1

1

1.10

9.084 × 10− 4

0.3419

0.9771

X32

0.11

0.068

0.11

0.068

1

1

7.83

266.84

0.0381b

< 0.0001a

Residual

0.073

1.270 × 10− 3

0.015

2.540 × 10− 4

5

5

    

Lack of Fit

0.040

1.144 × 10− 3

0.013

3.814 × 10− 4

3

3

0.83

6.05

0.5886

0.1450

Pure Error

0.033

1.260 × 10− 4

0.016

6.300 × 10− 5

2

2

    

Cor Total

4.81

0.11

  

14

14

    
  1. X1 is Mass concentration; X2 is Fly ash content, X3 is Fine gangue ratio.