Table 2.
Results of the determination of the PWZ relation from the fit to the observations.
| Case | α | β | γ | n.MW | σ | χ2 | Mode | μLMC | n.LMC | Method |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | −6.023 ± 0.014 | −3.301 ± 0.048 | 0.0 | 372 | 0.012 | 1.74 | F | 18.687±0.024 | 2557 | PhotPar |
| 2 | −6.028 ± 0.013 | −3.289 ± 0.039 | 0.0 | 435 | 0.010 | 1.65 | F+1O | 18.697±0.024 | 4634 | PhotPar |
| 3 | −5.948 ± 0.018 | −3.165 ± 0.054 | −0.725 ± 0.098 | 372 | 0.011 | 1.29 | F | 18.370±0.049 | 2557 | PhotPar |
| 4 | −5.965 ± 0.018 | −3.161 ± 0.051 | −0.598 ± 0.094 | 435 | 0.009 | 1.29 | F+1O | 18.457±0.052 | 4634 | PhotPar |
| 5 | −6.042 ± 0.013 | −3.294 ± 0.049 | 0.0 | 372 | 0.017 | 2.60 | F | 18.708±0.024 | 2557 | ABL |
| 6 | −6.047 ± 0.014 | −3.287 ± 0.050 | 0.0 | 435 | 0.015 | 2.49 | F+1O | 18.718±0.024 | 4634 | ABL |
| 7 | −5.971 ± 0.017 | −3.178 ± 0.048 | −0.661 ± 0.077 | 372 | 0.016 | 2.29 | F | 18.414±0.048 | 2557 | ABL |
| 8 | −5.988 ± 0.018 | −3.176 ± 0.044 | −0.520 ± 0.090 | 435 | 0.014 | 2.26 | F+1O | 18.503±0.046 | 4634 | ABL |
Notes. The quantities α, β, and γ are the coefficient of the PWZ relation described in the text; n.MW is the number of MW DCEPs adopted in each minimisation; σ is the standard deviation of the mean of the difference W − Wcalc, where W is the observed absolute Wesenheit magnitude and Wcalc is that calculated from the coefficients α, β, and γ (when applicable) reported in the table; χ2 reports the reduced value of the χ2 from its minimisation; Mode identifies the adopted sample; μLMC represents the distance modulus of the LMC obtained with the specific PWZ relationship; n.LMC is the number of LMC DCEPs adopted to calculate the μLMC value; and Method identifies the two different techniques adopted to fit the data, with PhotPar indicating the results of the minimisation of Eq. (3) and ABL indiciating the results from the minimisation of Eq. (4). Lines 1–2 and 5–6 report the results for the case in which the metallicity term of the PW relation is null.
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