Table 2.
Derived fits for the stacked sources in the NVSS and FIRST maps of the H-ATLAS and SFG samples.
Sample | Survey | Bins | a (5σ) | a (3σ) | b (5σ) | b (3σ) | Nlim (5σ) | Nlim (3σ) |
---|---|---|---|---|---|---|---|---|
logSFR [M⊙ yr−1] = a log LIR [L⊙]+b | ||||||||
H-ATLAS | Ind. | LIR | 0.87 ± 0.01 | 0.87 ± 0.01 | −8.7 ± 0.1 | −8.7 ± 0.1 | N/A | N/A |
H-ATLAS | Ind. | SFR | 1.3 ± 0.1 | 1.3 ± 0.1 | −13 ± 1 | −13 ± 1 | N/A | N/A |
SFG | FIRST | LIR | 0.80 ± 0.02 | 0.80 ± 0.02 | −7.9 ± 0.2 | −7.9 ± 0.2 | N/A | N/A |
SFG | FIRST | SFR | 0.89 ± 0.02 | 0.90 ± 0.02 | −8.9 ± 0.2 | −8.9 ± 0.2 | N/A | N/A |
SFG | NVSS | LIR | 0.82 ± 0.02 | 0.82 ± 0.02 | −8.1 ± 0.2 | −8.1 ± 0.2 | N/A | N/A |
SFG | NVSS | SFR | 0.86 ± 0.02 | 0.88 ± 0.02 | −8.6 ± 0.2 | −8.7 ± 0.2 | N/A | N/A |
log L1.4 [W Hz−1] = a log LIR [L⊙] + b | ||||||||
H-ATLAS | FIRST | LIR | 1.23 ± 0.03 | 1.02 ± 0.03 | 8.6 ± 0.3 | 10.8 ± 0.3 | 11 (61.1%) | 6 (33.3%) |
H-ATLAS | FIRST | SFR | 1.35 ± 0.04 | 1.33 ± 0.04 | 7.4 ± 0.4 | 7.5 ± 0.4 | 3 (23.1%) | 3 (23.1%) |
H-ATLAS | NVSS | LIR | 0.86 ± 0.02 | 0.87 ± 0.02 | 12.9 ± 0.2 | 12.8 ± 0.2 | 8 (44.4%) | 5 (27.8%) |
H-ATLAS | NVSS | SFR | 1.14 ± 0.03 | 1.15 ± 0.04 | 10.0 ± 0.4 | 9.9 ± 0.4 | 3 (23.1%) | 2 (15.4%) |
SFG | FIRST | LIR | 1.10 ± 0.03 | 1.07 ± 0.02 | 10.0 ± 0.3 | 10.2 ± 0.2 | 10 (55.6%) | 6 (33.3%) |
SFG | FIRST | SFR | 1.18 ± 0.03 | 1.21 ± 0.04 | 9.1 ± 0.3 | 8.8 ± 0.4 | 3 (25.0%) | 3 (25.0%) |
SFG | NVSS | LIR | 0.98 ± 0.02 | 0.94 ± 0.02 | 11.6 ± 0.2 | 12.1 ± 0.2 | 5 (29.4%) | 3 (17.6%) |
SFG | NVSS | SFR | 1.05 ± 0.04 | 1.04 ± 0.06 | 10.8 ± 0.4 | 11.0 ± 0.6 | 1 (10.0%) | 0 (0.0%) |
log L1.4 [W Hz−1] = a log SFR [M⊙ yr−1] + b | ||||||||
H-ATLAS | FIRST | LIR | 1.61 ± 0.08 | 1.23 ± 0.04 | 20.79 ± 0.03 | 20.97 ± 0.02 | 11 (61.1%) | 6 (33.3%) |
H-ATLAS | FIRST | SFR | 1.20 ± 0.03 | 1.19 ± 0.04 | 20.96 ± 0.01 | 20.96 ± 0.02 | 3 (23.1%) | 3 (23.1%) |
H-ATLAS | NVSS | LIR | 1.12 ± 0.04 | 1.11 ± 0.04 | 21.47 ± 0.02 | 21.47 ± 0.02 | 8 (44.4%) | 5 (27.8%) |
H-ATLAS | NVSS | SFR | 0.70 ± 0.02 | 0.47 ± 0.02 | 21.56 ± 0.01 | 21.64 ± 0.01 | 3 (23.1%) | 2 (15.4%) |
SFG | FIRST | LIR | 1.49 ± 0.05 | 1.40 ± 0.04 | 20.81 ± 0.02 | 20.85 ± 0.02 | 10 (55.6%) | 6 (33.3%) |
SFG | FIRST | SFR | 1.33 ± 0.03 | 1.34 ± 0.03 | 20.89 ± 0.01 | 20.89 ± 0.01 | 3 (25.0%) | 3 (25.0%) |
SFG | NVSS | LIR | 1.27 ± 0.05 | 1.20 ± 0.04 | 21.24 ± 0.02 | 21.28 ± 0.02 | 5 (29.4%) | 3 (17.6%) |
SFG | NVSS | SFR | 1.18 ± 0.03 | 1.12 ± 0.06 | 21.32 ± 0.02 | 21.34 ± 0.03 | 1 (10.0%) | 0 (0.0%) |
log LIR [L⊙]−logSFR [M⊙ yr−1]=a log LIR [L⊙]+b | ||||||||
H-ATLAS | Ind. | LIR | 0.13 ± 0.01 | 0.13 ± 0.01 | 8.7 ± 0.1 | 8.7 ± 0.1 | N/A | N/A |
H-ATLAS | Ind. | SFR | −0.2 ± 0.1 | −0.2 ± 0.1 | 12 ± 1 | 12 ± 1 | N/A | N/A |
SFG | FIRST | LIR | 0.21 ± 0.02 | 0.20 ± 0.02 | 7.9 ± 0.2 | 7.9 ± 0.2 | N/A | N/A |
SFG | FIRST | SFR | 0.11 ± 0.02 | 0.11 ± 0.02 | 8.9 ± 0.2 | 8.9 ± 0.2 | N/A | N/A |
SFG | NVSS | LIR | 0.18 ± 0.02 | 0.18 ± 0.02 | 8.1 ± 0.2 | 8.1 ± 0.2 | N/A | N/A |
SFG | NVSS | SFR | 0.14 ± 0.02 | 0.13 ± 0.02 | 8.5 ± 0.2 | 8.7 ± 0.2 | N/A | N/A |
log L1.4 [W Hz−1] − log SFR [M⊙ yr−1] = a log L1.4 [W Hz−1] + b | ||||||||
H-ATLAS | FIRST | LIR | 0.1 ± 0.5 | 0.3 ± 0.1 | 18 ± 4 | 16 ± 5 | 11 (61.1%) | 6 (33.3%) |
H-ATLAS | FIRST | SFR | 0.1 ± 0.4 | 0.1 ± 0.3 | 20 ± 2 | 19 ± 3 | 3 (23.1%) | 3 (23.1%) |
H-ATLAS | NVSS | LIR | 0.2 ± 0.5 | 0.2 ± 0.3 | 15 ± 4 | 18 ± 3 | 8 (44.4%) | 5 (27.8%) |
H-ATLAS | NVSS | SFR | 0.1 ± 0.4 | −0.2 ± 0.4 | 23 ± 4 | 27 ± 3 | 3 (23.1%) | 2 (15.4%) |
SFG | FIRST | LIR | 0.3 ± 0.2 | 0.3 ± 0.2 | 15 ± 4 | 15 ± 4 | 10 (55.6%) | 6 (33.3%) |
SFG | FIRST | SFR | 0.2 ± 0.4 | 0.2 ± 0.2 | 17 ± 2 | 17 ± 4 | 3 (25.0%) | 3 (25.0%) |
SFG | NVSS | LIR | 0.3 ± 0.4 | 0.2 ± 0.3 | 21 ± 4 | 19 ± 4 | 5 (29.4%) | 3 (17.6%) |
SFG | NVSS | SFR | 0.2 ± 0.3 | 0.13 ± 0.04 | 17 ± 4 | 19 ± 1 | 1 (10.0%) | 0 (0.0%) |
qIR = a log L1.4 [W Hz−1] + b | ||||||||
H-ATLAS | FIRST | LIR | −0.3 ± 0.5 | −0.1 ± 0.2 | 11 ± 5 | 4 ± 5 | 11 (61.1%) | 6 (33.3%) |
H-ATLAS | FIRST | SFR | −0.3 ± 0.3 | −0.3 ± 0.4 | 8 ± 3 | 9 ± 3 | 3 (23.1%) | 3 (23.1%) |
H-ATLAS | NVSS | LIR | 0.2 ± 0.4 | 0.1 ± 0.2 | −1 ± 4 | −1 ± 4 | 8 (44.4%) | 5 (27.8%) |
H-ATLAS | NVSS | SFR | −0.2 ± 0.4 | −0.3 ± 0.3 | 8 ± 2 | 8 ± 2 | 3 (23.1%) | 2 (15.4%) |
SFG | FIRST | LIR | −0.1 ± 0.4 | −0.1 ± 0.3 | 6 ± 2 | 5 ± 2 | 10 (55.6%) | 6 (33.3%) |
SFG | FIRST | SFR | −0.2 ± 0.4 | −0.3 ± 0.4 | 8 ± 3 | 8 ± 5 | 3 (25.0%) | 3 (25.0%) |
SFG | NVSS | LIR | 0.1 ± 0.5 | −0.0 ± 0.3 | 1 ± 4 | 1 ± 6 | 5 (29.4%) | 3 (17.6%) |
SFG | NVSS | SFR | −0.1 ± 0.4 | −0.05 ± 0.05 | 3 ± 4 | 4 ± 1 | 1 (10.0%) | 0 (0.0%) |
qIR = a log LIR [L⊙]+b | ||||||||
H-ATLAS | FIRST | LIR | −0.30 ± 0.04 | 0.02 ± 0.03 | 6.2 ± 0.4 | 2.8 ± 0.3 | 11 (61.1%) | 6 (33.3%) |
H-ATLAS | FIRST | SFR | −0.33 ± 0.04 | −0.34 ± 0.03 | 6.4 ± 0.4 | 6.5 ± 0.3 | 3 (23.1%) | 3 (23.1%) |
H-ATLAS | NVSS | LIR | 0.22 ± 0.02 | 0.17 ± 0.02 | 0.3 ± 0.2 | 0.8 ± 0.2 | 8 (44.4%) | 5 (27.8%) |
H-ATLAS | NVSS | SFR | −0.17 ± 0.03 | −0.13 ± 0.03 | 4.3 ± 0.3 | 3.9 ± 0.3 | 3 (23.1%) | 2 (15.4%) |
SFG | FIRST | LIR | 0.04 ± 0.02 | −0.03 ± 0.02 | 2.6 ± 0.3 | 3.3 ± 0.2 | 10 (55.6%) | 6 (33.3%) |
SFG | FIRST | SFR | −0.18 ± 0.03 | −0.20 ± 0.03 | 4.9 ± 0.3 | 5.0 ± 0.3 | 3 (25.0%) | 3 (25.0%) |
SFG | NVSS | LIR | 0.14 ± 0.02 | 0.10 ± 0.02 | 1.2 ± 0.2 | 1.6 ± 0.2 | 5 (29.4%) | 3 (17.6%) |
SFG | NVSS | SFR | −0.06 ± 0.04 | −0.03 ± 0.06 | 3.2 ± 0.4 | 2.9 ± 0.6 | 1 (10.0%) | 0 (0.0%) |
log L1.4 [W Hz−1] − log SFR [M⊙ yr−1] = aqIR + b | ||||||||
H-ATLAS | FIRST | LIR | −1 ± 1 | 0.1 ± 0.9 | 25 ± 2 | 23 ± 2 | 11 (61.1%) | 6 (33.3%) |
H-ATLAS | FIRST | SFR | −0.5 ± 0.8 | −0.5 ± 0.6 | 23 ± 4 | 23 ± 2 | 3 (23.1%) | 3 (23.1%) |
H-ATLAS | NVSS | LIR | −0.9 ± 0.9 | −1.0 ± 0.4 | 24 ± 2 | 24 ± 2 | 8 (44.4%) | 5 (27.8%) |
H-ATLAS | NVSS | SFR | −1 ± 1 | −1 ± 2 | 25 ± 3 | 26 ± 4 | 3 (23.1%) | 2 (15.4%) |
SFG | FIRST | LIR | −1 ± 1 | −1 ± 1 | 25 ± 4 | 24 ± 3 | 10 (55.6%) | 6 (33.3%) |
SFG | FIRST | SFR | −0.9 ± 0.8 | −1 ± 1 | 24 ± 2 | 24 ± 2 | 3 (25.0%) | 3 (25.0%) |
SFG | NVSS | LIR | −0.2 ± 0.9 | −1 ± 1 | 23 ± 3 | 24 ± 2 | 5 (29.4%) | 3 (17.6%) |
SFG | NVSS | SFR | −0 ± 1 | −1.6 ± 0.4 | 24 ± 5 | 25.4 ± 0.9 | 1 (10.0%) | 0 (0.0%) |
Notes. For each quantity, we show the results of a two-parameter model, with parameters a and b. When there were no limits, the orthogonal distance regression model fit was used. If limits were present in a particular dataset, we used the survival-analysis fitting strategy described in Sect. 3.2. The results for the H-ATLAS and SFG samples are shown in the (5σ) columns, while their variants using a BLOBCAT detection limit of 3σ are shown in the (3σ) columns. The Nlim column shows the total number of (x- or y-axis) nondetections for each fit. If a particular fit was not dependent on radio data, it was marked ‘Ind.’.
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