Table 1.
Statistical estimates for the accuracy on the measurements of the five physical quantities compared to the input values in the three simulations.
| Emission measure (10−30 g2/cm−5) | |||||||
| Model | ⟨EM⟩ | bEM | σEM,tot | σEM, stat | σEM, sys | fout | χ2 < 1 |
| ℳ = 0.25 | 32.71 | −0.30 (−0.84%) | 1.02 (3.12%) | 0.34 (1.04%) | 0.96 (2.94%) | 4.6% | 21.7% |
| ℳ = 0.50 | 19.53 | −0.21 (−1.01%) | 0.70 (3.60%) | 0.21 (1.09%) | 0.67 (3.43%) | 1.2% | 20.3% |
| ℳ = 0.75 | 11.86 | −0.19 (−1.46%) | 0.51 (4.31%) | 0.13 (1.12%) | 0.49 (4.16%) | 1.5% | 18.4% |
| Temperature (K) | |||||||
| Model | ⟨Tsl⟩ | bT | σT, tot | σT, stat | σT, sys | fout | χ2 < 1 |
| ℳ = 0.25 | 8.18 | 0.03 (0.42%) | 0.28 (3.38%) | 0.26 (3.14%) | 0.10 (1.24%) | 1.7% | 62.8% |
| ℳ = 0.50 | 7.59 | 0.05 (0.72%) | 0.25 (3.24%) | 0.22 (2.92%) | 0.11 (1.39%) | 0.7% | 60.2% |
| ℳ = 0.75 | 7.57 | 0.08 (1.09%) | 0.29 (3.79%) | 0.24 (3.11%) | 0.16 (2.16%) | 2.4% | 56.6% |
| Metal abundance (Z⊙) | |||||||
| Model | ⟨Z⟩ | bZ | σZ, tot | σZ, stat | σZ, sys | fout | χ2 < 1 |
| ℳ = 0.25 | 0.30 | −0.00 (−0.25%) | 0.02 (7.41%) | 0.02 (6.95%) | 0.01 (2.57%) | 1.5% | 65.2% |
| ℳ = 0.50 | 0.30 | −0.01 (−2.09%) | 0.02 (7.90%) | 0.02 (6.93%) | 0.01 (3.78%) | 0.9% | 60.2% |
| ℳ = 0.75 | 0.30 | −0.01 (−3.36%) | 0.02 (8.31%) | 0.02 (7.29%) | 0.01 (3.99%) | 0.3% | 60.2% |
| Velocity (km s−1) | |||||||
| Model | ⟨νew⟩ | bν | σν, tot | σν, stat | σν, sys | fout | χ2 < 1 |
| ℳ = 0.25 | −16.05 | 2.73 | 34.21 | 24.84 | 23.51 | 4.6% | 52.2% |
| ℳ = 0.50 | −127.63 | −8.61 | 66.24 | 41.75 | 51.43 | 6.1% | 43.9% |
| ℳ = 0.75 | −132.43 | 24.51 | 103.08 | 66.66 | 78.62 | 3.8% | 48.5% |
| Velocity dispersion (km s−1) | |||||||
| Model | ⟨wew⟩ | bw | σw, tot | σw, stat | σw, sys | fout | χ2 < 1 |
| ℳ = 0.25 | 177.82 | 10.10 (5.38%) | 31.49 (17.71%) | 22.16 (12.46%) | 22.37 (12.58%) | 1.5% | 52.0% |
| ℳ = 0.50 | 340.77 | 3.73 (1.29%) | 65.13 (19.11%) | 37.60 (11.03%) | 53.18 (15.61%) | 5.2% | 45.3% |
| ℳ = 0.75 | 532.08 | 11.73 (1.94%) | 94.12 (17.69%) | 64.18 (12.06%) | 68.84 (12.94%) | 4.3% | 52.7% |
Notes. Column 1: simulation model (Mach number). Column 2: average value of the quantity in the simulated map. Column 3: average bias in the measurement see Eq. (7). Columns 4–6: total, statistical and systematic errors Eqs. (8)–(10). Except for velocity, we also quote in parentheses the values as a percentage of the average (Col. 2). Columns 7 and 8: fraction of outliers in the χ distribution (2.5σ clipping) and fraction of measurements within 1σ with respect to the reference value, respectively.
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