Table 2 Evaluation results of ten methane measurements at ambient pressure.

From: Data analysis and uncertainty estimation in supercontinuum laser absorption spectroscopy

Measurement

1

2

3

4

5

6

7

8

9

10

mean

STD

\(\hat{T}\) in K

295.6

295.6

295.6

295.6

295.6

295.6

295.6

295.6

295.6

295.6

304.4

1.16

T in K

305.8

305.8

304.7

303.7

303.5

302.1

305.5

304.1

304.8

304.3

σT in K

2.91

3.60

3.31

3.37

3.04

2.98

3.17

3.12

3.28

3.36

σT,noise in K

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

σT,D0 in K

2.45

3.21

2.91

2.98

2.61

2.54

2.75

2.70

2.88

2.97

σT,if in K

1.58

1.63

1.59

1.58

1.55

1.55

1.58

1.57

1.58

1.57

\(\hat{p}\) in mbar

980

980

980

980

980

980

980

980

980

980

982

17.0

p in mbar

989

1010

987

974

977

979

989

960

955

1002

σp in mbar

75.0

94.4

86.3

89.1

79.5

78.1

85.0

80.3

81.3

90.1

σp,noise in mbar

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

σp,D0 in mbar

74.3

93.5

85.5

88.2

78.7

77.3

84.1

79.6

80.5

89.3

σp,if in mbar

10.6

13.3

12.0

12.4

11.0

11.0

11.7

11.1

11.2

12.5

\(\hat{q}\) in %

18.06

18.06

18.06

18.06

18.06

18.06

18.06

18.06

18.06

18.06

19.42

0.35

q in %

19.20

18.88

19.29

19.53

19.47

19.37

19.33

19.87

20.09

19.14

σq in %

1.33

1.60

1.55

1.65

1.46

1.42

1.53

1.54

1.57

1.58

σq,noise in %

0.16

0.18

0.18

0.18

0.17

0.16

0.17

0.18

0.18

0.18

σq,D0 in %

1.31

1.57

1.52

1.62

1.44

1.40

1.50

1.51

1.54

1.55

σq,if in %

0.21

0.24

0.23

0.24

0.22

0.22

0.23

0.23

0.23

0.24

  1. The values \(\hat{T}\), \(\hat{p}\) and \(\hat{q}\) denote the reference measurements. The value of σ gives the standard deviation of the corresponding variable and σnoise, σD0 and σif accordingly describe the contribution of noise, wavenumber and instrument function uncertainty to σ. The column standard deviation(STD) shows the empirical standard deviation of the measurement series.