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Table 3 Estimation of analysis of variance for regression expression

From: Catalytic hydrolysis of agar using magnetic nanoparticles: optimization and characterization

Source

DF

SS

MS

f value

p value

(a) ANOVA for quadratic model Escherichia coli K12

 Regression

13

0.000003

0.000000

4.17

0.0447*

 X1 (Hydrolysate concentration %)

1

0.000000

0.000000

0.1863

0.6811

 X2 (Temperature ºC)

1

0.000001

0.000001

0.2054

0.6663

 X3 (Time H)

1

0.000000

0.000000

0.0466

0.8363

 X12

1

0.000001

0.000001

2.57

0.0339*

 X22

1

0.000001

0.000001

2.57

0.0348*

 X32

1

0.000000

0.000000

0.27

0.04061*

 X1X2

1

0.000000

0.000000

0.20

0.667

 X1X3

1

0.000000

0.000000

1.45

0.256

 X2X3

1

0.000000

0.000000

0.49

0.502

 Residual (Error)

10

0.000003

0.000000

  

 Lack-of-Fit

1

0.000003

0.000001

*

*

 Pure Error

5

0.000000

0.000000

  

 Total

19

0.000006

   

(b) ANOVA for quadratic model Saccharomyces cerevisiae S288c (ATCC 7754)

 Regression

9

0.00003

0.000000

14.64

0.0001*

 X1 (Hydrolysate concentration %)

1

0.00001

0.00001

58.82

 < 0.0001*

 X2 (Temperature ºC)

1

0.00001

0.00001

43.45

 < 0.0001*

 X3 (Time H)

1

0.00001

0.00001

5.06

0.048*

 X12

1

0.000000

0.000000

11.87

0.006*

 X22

1

0.000006

0.000006

3.05

0.111

 X32

1

0.000000

0.000000

0.01

0.8854

 X1X2

1

0.00001

0.00001

5.17

0.046*

 X1X3

1

0.000002

0.000002

1.10

0.319

 X2X3

1

0.000008

0.000008

4.08

0.071

 Residual (Error)

10

0.000019

0.000002

  

 Lack-of-Fit

5

0.000019

0.000004

*

*

 Pure Error

5

0.000000

0.000000

  

 Total

19

0.0002

0.000000

14.40

0.0001*

  1. DF: degree of freedom, SS: sum of square, and MS: mean square
  2. *Significant p ≤ 0.05