TDCOSMO - XIX. Measuring stellar velocity dispersion with sub-percent accuracy for cosmography

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Table B.3.

Results from mock data generated from XSL for each S/N subsample.

S/N per Å	$⟨ {\bar{σ}}_{w} - σ_{t} ⟩ / σ_{t}$ $\langle \bar \sigma_w-\sigma_t \rangle /\sigma_t$	$⟨ Δ_{B} σ_{w} / {\bar{σ}}_{w} ⟩$ $\langle \Delta_B\sigma_w/\bar \sigma_w \rangle$	$⟨ δ σ_{w} / {\bar{σ}}_{w} ⟩$ $\langle \delta\sigma_w/\bar \sigma_w\rangle$	$⟨ {\bar{σ}}_{u} - σ_{t} ⟩ / σ_{t}$ $\langle \bar \sigma_u-\sigma_t\rangle /\sigma_t$	$⟨ Δ_{B} σ_{u} / {\bar{σ}}_{u} ⟩$ $\langle \Delta_B\sigma_u/\bar \sigma_u\rangle$	$⟨ δ σ_{u} / {\bar{σ}}_{u} ⟩$ $\langle \delta\sigma_u/\bar \sigma_u\rangle$
15	-0.11%	1.65%	3.73%	1.29%	1.52%	3.88%
30	0.05%	1.37%	1.93%	1.38%	1.30%	2.08%
45	-0.16%	1.29%	1.30%	1.13%	1.20%	1.46%
60	-0.25%	1.27%	0.98%	1.07%	1.22%	1.16%
90	-0.28%	1.25%	0.67%	1.03%	1.22%	0.89%
120	-0.28%	1.25%	0.51%	1.05%	1.22%	0.77%
150	-0.27%	1.26%	0.40%	1.06%	1.23%	0.70%

Notes. Columns 2-4 show values utilizing the weights given in Table B.1. Column 2 gives the accuracy of the mean velocity dispersions with respect to the true velocity dispersion σ_t = 300 km s⁻¹. Column 3 gives the Bessel-corrected average systematic uncertainties. Column 4 gives the average statistical uncertainties. Columns 5-7 show the same values calculated with equal weights.

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