tokens: certain criteria. As an independent check the scatter in the DM was investigated among the models with a reduced χ 2 less than twice the minimum value. If there were five or more such models the dispersion (actually 1.48 ⋅ MAD) around the median was determined and compared with the formal error. This exercise revealed no systematic effects and the errors estimated in such a way are consistent with the formal errors. 6.2. Comparing dEBs and TRGB with Cepheid and RR Lyrae distances In Sect. 5.1 the TRGB distances are compared with the distances to 14 dEBs. One can also compare the TRGB distances with other independent distance estimates, as we did in Sects. 5.2 – 5.4 . We therefore took an identical approach as in Sects. 5.2 and 5.3 and determined the median DM and reddening value of CCs (in the LMC), and RRL (in the SMC) in the direction of the dEBs. The results are listed in Table 3 which first repeats the DM and reddening derived in the literature for the dEBs and the TRGB distance (based on the second-order derivative method) from Table 1 . Columns 5 and 6 give the DM and reddening values based on the CCs and RRL in those fields. Table 3. Comparison of distances for the dEBs. Notes. Columns 1–4 are taken from Table 1 . They indicate the name of the system, the DM and reddening based on the works listed in Col. 4 of Table 1 , and the TRGB distance using that reddening. Columns 5 and 6 list the DM and reddening of CCs (for the LMC objects) and RRL (for the SMC objects) in the direction of the EBs, and Col. 7 lists the TRGB distance using the reddening in Col. 6. Similarly, Columns 8 and 9 give the DM and reddening in Rubele et al. (2018) in the direction of the EBs, and Col. 10 lists the TRGB distance using the reddening in Col. 9. Finally, Col. 11 lists the reddening derived from Haschke et al. (2011) in the direction of the EBs, and Col. 12 lists the TRGB distance using that reddening. It is evident that the reddening estimates are smaller than adopted in the dEB analysis. In the SMC this is the case for all five objects. Although the differences are within the respective error bars it appears to be a systematic effect. In the LMC this is the case for eight out of nine objects but the differences appear to be smaller on average than for the SMC. To test the effect of reddening, the TRGB distance was derived using the E ( B − V ) from col. 6, and the results are listed in col. 7. It is clear that the effect on the DM is roughly inversely proportional to a change in E ( B − V ). Based on the definition of the sharpened magnitude, the absolute calibration equation (Eq. ( 3 )) and the reddening coefficients one expects a relation ΔDM/Δ E ( B − V )= − 1.1. The overall effect is noticeable however. The weighted mean DM of the nine LMC dEBs is shifted from 18.483 ± 0.006 mag to 18.523 ± 0.005 mag, and that of the five SMC binaries is shifted from 19.023 ± 0.007 mag to 19.051 ± 0.009 mag. In a similar way we used the data of Rubele et al. and took
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