Table 5.
Consistency metrics for the combination of KiDS-Legacy with external data.
| Tier 1 | Tier 2 | Tier 3 | |||||
|---|---|---|---|---|---|---|---|
| External dataset | log10R | Nσ, S | Nσ(ΔΩm) | Nσ(ΔS8) | Nσ(Δ(Ωm, S8)) | p(A|B) | p(B|A) |
| DESI Y1 BAO | 0.24 | 0.26 | 0.45 | 0.55 | 0.35 | 0.46 | 0.49 |
| eBOSS DR16 | 0.28 | 0.29 | 0.22 | 0.41 | 0.19 | 0.47 | 0.59 |
| Pantheon+ | 0.40 | 0.44 | 0.29 | 0.23 | 0.13 | 0.47 | 0.80 |
| DESI Y1 BAO + Pantheon+ | 0.32 | 0.45 | 0.06 | 0.90 | 0.10 | 0.47 | 0.77 |
| eBOSS DR16 + Pantheon+ | 0.34 | 0.44 | 0.06 | 0.44 | 0.05 | 0.47 | 0.79 |
| DES Y3 | 1.14 | 0.31 | 0.81 | 0.58 | 0.05 | 0.35 | 0.30 |
| Planck 2018 | 0.99 | 0.77 | 0.17 | 0.61 | 0.15 | 0.47 | 0.57 |
Notes. The third and fourth columns report the Bayes ratio and the tension level inferred from the suspiciousness, respectively. The next three columns present the results of the tier 2 test for Ωm, S8, and their combination. The final two columns shows the tension level arising from the tier 3 test in terms of the p-value for data vector predictions for the external data dataset listed in the second column inferred from the KiDS-Legacy TPD (column 8) and vice versa (column 9).
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