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Table 3 ILC phosphorus results for different method classes (Fig. 1) and by digestion or analysis method

From: Determination of the phosphorus content in sewage sludge: comparison of different aqua regia digestion methods and ICP-OES, ICP-MS, and photometric determination

Method (class)

l

n

Outliers

\(\overline{x }\)

U

CVr

CVR

HorRat

\(\frac{{CV}_{r}}{{CV}_{\mathrm{R}}}\)

[g/kg]

[g/kg]

[%]

[%]

[%]

A

67

19

1

26.0

0.7

1.5

5.8

1.7

25

B

59

17

3

25.4

0.7

1.3

5.7

1.6

22

C

33

11

1

25.4

0.7

1.3

4.6

1.3

28

D

29

8

 

25.0

1.2

4.1

7.5

2.1

55

E

22

6

 

24.2

1.5

3.3

8.1

2.3

41

F

22

6

 

23.1

1.2

2.3

6.5

1.8

35

ICP-OES

138

36

4

25.7

0.5

1.4

5.8

1.7

24

ICP-MS

63

18

2

25.2

0.7

2.1

5.8

1.7

36

Photometry

44

12

 

23.6

1.0

2.9

7.5

2.1

39

Microwave

130

36

2

25.0

0.3

1.8

6.3

1.8

29

Reflux

118

31

3

24.2

0.5

2.1

8.0

2.3

27

Total

248

67

5

25.3

0.7

1.9

7.2

2.0

26

  1. l: Number of measurement values: replicates included
  2. n: Number of datasets: different lab averages by method class (several labs performed more than one method class), no outliers
  3. \(\overline{x }\): Mean phosphorus content
  4. U: Expanded Uncertainty of \(\overline{x }\) with factor k = 2: \(U=2\frac{{s}_{R}}{\sqrt{n}}\)
  5. CVr: Relative repeatability standard deviation (sr); variability of the replicate means per laboratory
  6. CVR: Relative reproducibility standard deviation (sR); variability of the means of different labs
  7. HorRat: Horwitz ratio or ratio of CVR and predicted Horwitz coefficient of variation pCVR; \({pCV}_{R}={2}^{(1-0.5 log\overline{ x })}\)
  8. \(\frac{{CV}_{r}}{{CV}_{\mathrm{R}}}\): Ratio of repeatability and reproducibility in %; 50–66% is common according to Horwitz [13]