Variation of the fine-structure constant: an update of statistical analyses with recent data

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Table 4

Confidence intervals for data obtained with the Keck telescope (Murphy et al. 2003; King et al. 2012) (group I).

cosθ	n	Reported interval	Confidence interval	β for α = 0.05
(1)	(2)	(3)	(4)	(5)

−0.249	9	(−4.44,0.58)	(−2.25, − 0.15)	0.81
−0.306	2	(−0.27,4.64)	(−12.20,9.16)	0.15
−0.378	9	(2.31,14.15)	(−3.18,1.08)	0.15
−0.404	11	(−7.49 × 10^-2,0.45)	(−2.37,1.05)	0.82

Notes. Comparison with single data obtained with the VLT (King et al. 2012) (group II). Data sets are selected according to angular position. Columns:

⁽¹⁾

cosθ from data obtained with the VLT;

⁽²⁾

number of data reported Keck Telescope inside the interval;

⁽³⁾

single value reported by the VLT in units of 10^-5;

⁽⁴⁾

calculated confidence interval from the Keck data in units of 10^-5;

⁽⁵⁾

type II error probability.

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