Statistics and supermetallicity: The metallicity of Mu Leonis

Details Statistics and supermetallicity: The metallicity of Mu Leonis Statistics and supermetallicity: The metallicity of Mu Leonis

Dec 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001a%26a...379..917t&link_type=abstract

Astronomy and Astrophysics, v.379, p.917-923 (2001)

Astronomy and Astrophysics

Astrophysics

2

Stars: Abundances, Stars: Individual: Mu Leo

Scientific paper

For the often-studied ``SMR'' giant mu Leo, Smith & Ruck (\cite{sr00}) have recently found that [Fe/H] ~ +0.3 dex. Their conclusion is tested here in a ``statistical'' paradigm, in which statistical principles are used to select published high-dispersion mu Leo data and assign error bars to them. When data from Smith & Ruck and from Takeda et al. (\cite{tks98}) are added to a data base compiled in 1999, it is found that conclusions from an earlier analysis (Taylor \cite{t99c}) are essentially unchanged: the mean value of [Fe/H] ~ +0.23 +/- 0.025 dex, and values <=+0.2 dex are not clearly ruled out at 95% confidence. In addition, the hypothesis that [Fe/H] >= +0.3 dex which emerges from the Smith-Ruck analysis is formally rejected at 98% confidence. The ``default paradigm'' which is commonly used to assess mu Leo data is also considered. The basic characteristics of that paradigm continue to be a) unexplained exclusion of statistical analysis, b) inadequately explained deletions from an [Fe/H] data base containing accordant data, and c) an undefended convention that mu Leo is to have a metallicity of about +0.3 dex or higher. As a result, it seems fair to describe the Smith-Ruck application and other applications of the default paradigm as invalid methods of inference from the data.

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