An investigation of the properties of double radio sources using the Spearman partial rank correlation coefficient

Details An investigation of the properties of double radio sources using the Spearman partial rank correlation coefficient An investigation of the properties of double radio sources using the Spearman partial rank correlation coefficient

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982mnras.199.1119m&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 199, June 1982, p. 1119-1136.

Mathematics

Logic

81

Correlation Coefficients, Extragalactic Radio Sources, Statistical Tests, Luminosity, Rank Tests, Red Shift, Size (Dimensions)

Scientific paper

Statistical tests on correlations between two variables in the presence of a third are used to study the correlations of the properties of double radio sources with size and redshift, and with redshift and luminosity. In a comparison of statistical tests, it is concluded that the Spearman partial rank correlation makes the most efficient use of the available data. In a study of 93 3CR double radio sources, results are found for the relation between spectral index and size, between compactness and size, and the dependence of spectral index, compactness, and angular size on luminosity and redshift. Results rule out cosmological evolution of physical size which is stronger than (1 + z) to the -1.3. The possibility of determining the density parameter of the Universe from the relation between redshift, luminosity, and physical size is considered, and the extension of the Spearman partial rank coefficient to correlations involving more than three parameters is discussed.

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