Methodological rationale for F24’s Cepheid uncertainty treatment

Ascertain the methodological rationale for Freedman et al. (2024) using the dispersion of the Cepheid period–luminosity relation as the uncertainty in the period–luminosity intercept, rather than the error in the mean, in their JWST Cepheid distance estimates for SN Ia hosts; evaluate the consistency of this choice with their uncertainty treatment for JAGB and TRGB and its implications for cross-method comparisons.

Background

In discussing differences between SH0ES and CCHP analyses, the authors note that Freedman et al. (2024) report Cepheid distance uncertainties significantly larger than those expected from conventional error propagation and larger than comparable HST-based estimates for the same galaxies. They attribute this to F24’s use of the period–luminosity dispersion as the uncertainty in the intercept rather than the error in the mean.

This methodological choice affects inferred uncertainties and the weight of Cepheid distances in multi-method comparisons. Clarifying the rationale and ensuring consistency with F24’s treatments for JAGB and TRGB is important for fair cross-method comparisons and for robust combined H0 constraints.

References

We do not know why and this practice appears inconsistent with F24's use of the error in the mean for JAGB and similar for TRGB.

JWST Validates HST Distance Measurements: Selection of Supernova Subsample Explains Differences in JWST Estimates of Local H0  (2408.11770 - Riess et al., 2024) in Section 2, Subsection “Data,” Subsubsection “JWST Observations” (footnote)