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Table E.1.

Main inferred cosmological and astrophysical parameters from mocks generated with the anisotropic systematics model.

Parameter Mock truth Marginal ±1σ MAP ± PJ-HPD
S8 0.756 0 . 752 0.029 + 0.034 $ 0.752^{+0.034}_{-0.029} $ 0 . 752 0.031 + 0.029 $ 0.752^{+0.029}_{-0.031} $
σ8 0.706 0 . 720 0.19 + 0.093 $ 0.720^{+0.093}_{-0.19} $ 0 . 613 0.190 + 0.096 $ 0.613^{+0.096}_{-0.190} $
Ωm 0.344 0 . 36 0.14 + 0.10 $ 0.36^{+0.10}_{-0.14} $ 0 . 451 0.140 + 0.168 $ 0.451^{+0.168}_{-0.140} $
h0 0.657 < 0.747 0 . 672 0.078 + 0.023 $ 0.672^{+0.023}_{-0.078} $
ωc 0.292 0 . 162 0.048 + 0.075 $ 0.162^{+0.075}_{-0.048} $ 0 . 182 0.057 + 0.060 $ 0.182^{+0.060}_{-0.057} $
ωb 0.022 0 . 022 0.002 + 0.002 $ 0.022^{+0.002}_{-0.002} $
ns 1.0 < 0.981 0 . 911 0.067 + 0.071 $ 0.911^{+0.071}_{-0.067} $
AIA 0.396 0 . 11 0.31 + 0.48 $ 0.11^{+0.48}_{-0.31} $ 0 . 266 0.322 + 0.068 $ 0.266^{+0.068}_{-0.322} $
Abary 3.133 2 . 351 0.250 + 0.114 $ 2.351^{+0.114}_{-0.250} $

Notes. For each parameter, we show the underlying true value which was input into the mock data vector, and the inferred value recovered by KiDS-SBI. The third column shows the marginal means as well as the upper and lower 68% confidence intervals, i.e. 1σ, of the marginals. h0, ns, ωb, and Abary are not well enough constrained in order to calculate a meaningful marginal parameter estimate. The fourth column shows the maximum a posteriori (MAP), and the uncertainties are defined as the upper and lower 68% confidence intervals, i.e. 1σ, given by the projected joint highest posterior density, PJ-HPD (Robert 2007; Joachimi et al. 2021). Note: cosmic shear is only expected to significantly constrain the value of S8 and AIA.

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