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

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Volume 557 (September 2013)

A&A, 557 (2013) A36

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Table 1

Confidence intervals for different redshifts for n ≥ 12 comparing data obtained with the VLT by Srianand (2013, priv. comm.) (group III) with data obtained by King et al. (2012) with the same telescope (group II).

z	Δz	Reported interval	Confidence interval	β for α = 0.05
(1)	(2)	(3)	(4)	(5)

0.452	0.621	(−0.92, −7.99 × 10^-2)	(−1.42,0.32)	0.86
0.822	0.155	(−0.60,1.20)	(−0.41,1.16)	0.84
0.859	0.179	(−0.34,1.04)	(0.23,1.64)	0.82
0.873	0.164	(−5.00 × 10^-2,1.05)	(0.29,1.71)	0.82
0.942	0.152	(−2.05,0.35)	(−0.82,0.50)	0.81
1.182	0.106	(−0.56,0.96)	(−0.92,0.84)	0.86
1.243	0.121	(−3.30, −0.50)	(−0.67,0.97)	0.85
1.277	0.146	(−0.90,0.90)	(−0.88,1.02)	0.87
1.348	0.141	(1.25,3.15)	(−0.92,0.25)	0.78
1.439	0.178	(−1.01,0.61)	(−0.97,0.15)	0.77
1.555	0.147	(−0.31,0.71)	(−0.41,1.90)	0.88
1.636	0.114	(−0.90,0.30)	(−0.28,2.10)	0.89
1.637	0.116	(−0.40,1.80)	(−0.28,2.10)	0.89
1.657	0.141	(0.10,1.10)	(−0.11,1.90)	0.87
1.858	0.163	(−0.37,0.77)	(−0.61,0.90)	0.83
1.915	0.208	(−9.99 × 10^-2,1.30)	(0.17,1.23)	0.75
2.022	0.175	(−2.30, −0.70)	(8.13 × 10^-2,1.67)	0.84
2.168	0.171	(−9.99 × 10^-2,1.50)	(−0.13,1.07)	0.79
2.185	0.151	(5.00 × 10^-2,3.15)	(−0.13,1.07)	0.79
2.187	0.155	(−0.70,0.70)	(−0.13,1.07)	0.79
2.300	0.257	(−0.70,0.90)	(−0.45,1.01)	0.83

Notes. Columns:

⁽¹⁾

redshift reported by Srianand (2013, priv. comm.) (group III);

⁽²⁾

length of the redshift interval for which the confidence interval is calculated;

⁽³⁾

single value reported by Srianand (2013, priv. comm.) in units of 10^-5;

⁽⁴⁾

calculated confidence interval from a group of data reported by King et al. (2012) (group II) in units of 10^-5;

⁽⁵⁾

type II error probability.

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