Is there evolution in the infrared Tully-Fisher relation? Comparing two linear regressions

Astronomy and Astrophysics – Astronomy

Scientific paper

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Methods: Statistical, Galaxies: Evolution, Galaxies: Fundamental Parameters, Galaxies: High-Redshift

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Scientific paper

Abstract

In a recent paper, Puech and co-workers compared K-band Tully-Fisher relations derived for nearby and distant galaxies, respectively. They concluded that the two relations differ, and deduced that there is evolution in the Tully-Fisher relations. The statistical comparison between the two regression lines is re-examined, and it is shown that the statistical test used gives non-significant results. It is argued that better results can be obtained by comparing the `inverse' Tully-Fisher relations, and it is demonstrated by two different methods that the nearby- and distant-sample relations do indeed differ at a very high significance level. One of the statistical methods described is non-parametric, and can be applied very generally to compare linear regressions from two different samples.

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