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Table 1

The methods used in the estimation of the β(T) relation.

Name Description

χ 2 Least squares fits of modified black bodies
and of the β(T) relation
SIMEX The SIMEX method, extrapolation of the
A and B parameters to zero noise level
MC Model with explicit functional form of β(T),
with noise bias estimated with Monte Carlo
BM Bayesian model, MCMC estimates
HM(S) Hierarchical model with Student distributions,
Eqs. (6) and (7), as in Kelly et al. (2012)
(without parameters δ)
HM(N) As HM(S) but using normal distributions,
Eqs. (5) and (8)
HMC Hierarchical model including δ calibration
parameters (otherwise usually as HM(N))

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