Table 3 Evaluation results of ten methane measurements at high pressure.

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

Measurement

11

12

13

14

15

16

17

18

19

20

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

312.6

0.31

T in K

312.8

312.6

312.4

312.9

312.8

312.1

312.7

312.3

312.4

313.1

σT in K

1.48

2.04

1.60

1.34

1.34

1.58

2.22

1.56

1.37

1.49

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

1.37

1.95

1.49

1.21

1.22

1.48

2.14

1.45

1.26

1.38

σT,if in K

0.56

0.59

0.57

0.56

0.56

0.56

0.60

0.56

0.56

0.57

\(\hat{p}\) in mbar

8732

8732

8732

8732

8732

8732

8732

8732

8732

8732

8571

32.5

p in mbar

8604

8603

8534

8577

8563

8516

8590

8559

8551

8617

σp in mbar

198.7

303.9

221.9

173.4

175.7

218.7

341.0

218.8

177.2

196.8

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

197.0

301.3

220.0

171.9

174.2

216.8

338.0

216.9

175.7

195.1

σp,if in mbar

25.8

39.6

28.9

22.5

22.9

28.7

44.5

28.6

22.9

25.7

\(\hat{q}\) in %

22.35

22.35

22.35

22.35

22.35

22.35

22.35

22.35

22.35

22.35

24.47

0.07

q in %

24.38

24.43

24.47

24.49

24.55

24.59

24.40

24.46

24.50

24.39

σq in %

0.38

0.56

0.43

0.34

0.35

0.43

0.63

0.42

0.35

0.38

σq,noise in %

0.08

0.10

0.09

0.08

0.08

0.09

0.11

0.09

0.08

0.08

σq,D0 in %

0.36

0.55

0.41

0.33

0.33

0.41

0.61

0.40

0.33

0.36

σq,if in %

0.06

0.08

0.07

0.06

0.06

0.07

0.09

0.07

0.06

0.06

  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.