Statistical relations between spectropolarimetric observables and the polar strength of the stellar dipolar magnetic field

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Table 1

Median values and confidence intervals for the 〈B_z〉_rms/B_d and 〈B〉_avg/B_d ratio distributions for different number of magnetic measurements distributed randomly and equidistantly in rotational phase.

Random phase distribution
〈B_z〉_rms/B_d					〈B〉_avg/B_d
N	Median	68.3%	95.5%	99.7%	Median	68.3%	95.5%	99.7%
1	0.155	0.049–0.261	0.007–0.303	0.000–0.310	0.677	0.641–0.751	0.637–0.790	0.637–0.797
2	0.172	0.089–0.235	0.030–0.287	0.006–0.306	0.686	0.650–0.730	0.639–0.774	0.637–0.794
3	0.173	0.106–0.230	0.046–0.276	0.014–0.302	0.687	0.656–0.726	0.641–0.764	0.638–0.789
5	0.175	0.119–0.223	0.062–0.265	0.024–0.297	0.688	0.661–0.720	0.644–0.755	0.638–0.785
10	0.177	0.129–0.216	0.072–0.256	0.029–0.295	0.689	0.665–0.715	0.646–0.747	0.639–0.782
20	0.178	0.134–0.212	0.076–0.252	0.030–0.295	0.690	0.667–0.712	0.647–0.743	0.639–0.782
30	0.179	0.136–0.210	0.076–0.251	0.030–0.295	0.691	0.668–0.711	0.647–0.742	0.639–0.782

Equidistant phase distribution
〈B_z〉_rms/B_d					〈B〉_avg/B_d
N	Median	68.3%	95.5%	99.7%	Median	68.3%	95.5%	99.7%

1	0.149	0.051–0.254	0.007–0.302	0.000–0.309	0.674	0.642–0.745	0.637–0.789	0.637–0.797
2	0.172	0.089–0.236	0.030–0.287	0.006–0.306	0.686	0.650–0.730	0.639–0.775	0.637–0.794
3	0.179	0.140–0.208	0.078–0.249	0.031–0.294	0.691	0.670–0.709	0.647–0.741	0.639–0.782

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