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Table 2

Significances of detected peaks.

GLASS-z12 GLASS-z10 S5-z17–1
Reported significance 5.8σ 4.4σ 5.1σ
Found highest significance(†) 4.2σ 4.3σ 4.3σ
LFD(γ=4)$\mathcal{L}_{\mathrm{FD}}(\gamma=4)$ 0.0011 0.0054 0.0032
LFD(γ=4)×Npeaks$\mathcal{L}_{\mathrm{FD}}(\gamma=4) \times \mathrm{N}_{\mathrm{peaks}}$ 1.3 ± 1.1 1.5 ± 1.2 0.7 ± 0.8
Npeaks found 1 2 1
Λ(γ = 4) 0.80 1.4 1.4

Notes. In this table, we quote the individual likelihoods of false detections for the three DDT-ALMA data sets on z > 10 galaxies. Multiplied with the number of peaks in the real dataset (Npeaks), this leads to the expected number of peaks above S/N > 4 in a purely noisy dataset. We compare this with the found number of peaks in the real data and the likelihood ratio test as defined in Eq. (2). (†) We note that the peaks with the highest significance are not the same peaks as the ones that correspond to the reported significance (top row). See Section 5.2 for more detail.

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