Table 6.
Chance coincidence for the activity index analysis.
Sample | NS | Δψ | NA | ⟨A.I.⟩ | p | p | Nf | p | p | Nf | p | p |
---|---|---|---|---|---|---|---|---|---|---|---|---|
(deg) | pre | post | (1%) | pre | post | (0.01%) | pre | post | ||||
(1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | (11) | (12) | (13) |
OVRO all-AGN | 1795 | 0.9 | 18 | 1.15 | 0.003 | 0.007( × 5) | 8 | 0.280 | 0.376( × 5) | 6 | 0.019 | 0.027( × 5) |
CGRaBS | 1157 | 0.9 | 17 | 1.20 | 0.010 | 0.023( × 5) | 8 | 0.072 | 0.108( × 5) | 6 | 0.005 | 0.006( × 5) |
OVRO-350 mJy | 589 | 0.9 | 12 | 1.29 | 0.011 | 0.024( × 5) | 7 | 0.013 | 0.018( × 5) | 5 | 0.002 | 0.003( × 5) |
RFC-150 mJy | 1156 | 0.9 | 16 | 1.21 | 0.005 | 0.014( × 5) | 7 | 0.132 | 0.193( × 5) | 5 | 0.017 | 0.025( × 5) |
Metsähovi | 183 | 0.5 | 7 | 1.26 | 0.096 | 0.158( × 5) | 4 | 0.0012 | 0.0015( × 5) | 1 | 0.057 | 0.058( × 5) |
Notes. Column (1) indicates the sample studied and Col. (2) gives the number of sources in that sample. Column (3) gives the optimal systematic uncertainty parameter Δψ, which for each sample was found to be the same for all the A.I. analyses. Column (4) gives the number of associations found using this systematic uncertainty. The pre-trial and post-trial p-values are given in Cols. (6) and (7), respectively. Column (8) gives the number of flaring sources in the sample when 1% false-detection rate is used. The threshold is A.I. > 1.1 for the OVRO samples and A.I. > 1.16 for the Metsähovi sample. Column (11) is the same for 0.01% false-detection rate, which is A.I. > 1.29 for the OVRO samples and A.I. > 1.71 for the Metsähovi sample. The additional trial factor due to multiple samples is shown as a multiplicative factor in Cols. (7), (10), and (13) (see Sect. 3.1). Values significant at the 2σ level when also this trial factor is accounted for are shown in bold for the samples considered to be statistically complete.
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