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2011 | 30 | 2 |

Tytuł artykułu

Comparison of values of Pearson’s and Spearman’s correlation coefficient on the same sets of data

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN

Wydawca

-

Rocznik

Tom

30

Numer

2

Opis fizyczny

p.87-93,fig.,ref.

Twórcy

autor
  • Institute of Socio-Economic Geography and Spatial Management, Adam Mickiewicz University, Dziegielowa 27, 61-680 Poznan, Poland
autor

Bibliografia

  • Anderson T.W., 1996. R.A. Fisher and multivariate analysis. Statistical Science 11 (1): 20-34.
  • Bravais A.,1846. Analyse mathématique sur les probabilités des erreurs de situation d'un point. Mémoires présentés par divers savants à l'Académie Royale des Sciences de l'Institut de France 9: 255-332.
  • Daniels H.E., 1944. The relation between measures of correlation in the universe of sample permutations. Biometrika 33 (2): 129-135.
  • Fisher R.A., 1915. Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population. Biometrika 10: 507-521.
  • Fisher R.A., 1921. On the "probable error" of a coefficient of correlation deduced from a small sample. Metron 1: 3-32.
  • Galton F., 1869. Hereditary genius. An inquiry into its laws and consequences. MacMillan, London. Galton F., 1875. Statistics by intercomparison. Philosophical Magazine 49: 33-46.
  • Galton F., 1885. Regression towards mediocrity in hereditary stature. Journal of the Anthropological Institute 15: 246-263. Galton F., 1877. Typical laws of heredity. Proceedings of the Royal Institution 8: 282-301.
  • Galton F., 1888. Corelations and their measurement, chiefly from anthropometric data. Proceedings of the Royal Society of London 45: 135-145.
  • Galton F., 1890. Kinship and correlation. North American Review 150: 419-431.
  • Griffith D.A., 2003. Spatial autocorrelation and spatial filtering. Springer, Berlin.
  • Haining R., 1991. Bivariate correlation with spatial data. Geographical Analysis 23 (3): 210-227.
  • Kendall M.G., 1938. A new measure of rank correlation. Biometrika 30: 81-89.
  • Kendall M.G.,1948. Rank correlation methods. 4th ed. Griffin, London.
  • Pearson K., 1896. Mathematical contributions to the theory of evolution. III. Regression, heredity, and panmixia.
  • Philosophical Transactions of the Royal Society Ser. A 187: 253-318.
  • Pearson K., 1900. Mathematical contributions to the theory of evolution. VII. On the correlation of characters not quantitatively measurable. Philosophical Transactions of the Royal Society Ser. A 195: 1-47.
  • Pearson K., 1920. Notes on the history of correlation. Biometrika 13: 25-45.
  • Piovani J.I., 2008. The historical construction of correlation as a conceptual and operative instrument for empirical research. Quality & Quantity 42: 757-777.
  • Plata S., 2006. A note on Fisher's correlation coefficient. Applied Mathematical Letters 19: 499-502.
  • Rodgers J.L. & Nicewander W.A., 1988. Thirteen ways to look at the correlation coefficient. The American Statistician 42 (1): 59-66.
  • Spearman C.E, 1904a. The proof and measurement of association between two things. American Journal of Psychology 15: 72-101.
  • Spearman C.E, 1904b. General intelligence, objectively determined and measured. American Journal of Psychology 15: 201-293.
  • Spearman C.E., 1910. Correlation calculated from faulty data. British Journal of Psychology 3: 271-295.
  • Stigler S.M., 1988. Francis Galton's account of the invention of correlation. Statistical Science 4 (2): 73-86.
  • Student, 1908. Probable error of a correlation coefficient. Biometrika 6: 302-310.
  • Valz P.D. & Thompson M.E., 1994. Exact inference for Kendall's S and Spearman's rho. Journal of Computational and Graphical Statistics 3: 459-472.
  • Walker H. M., 1928. The relation of Plana and Bravais to theory of correlation. Isis 10 (2): 466-484.
  • Weida F.M., 1927. On various conceptions of correlation. The Annals of Mathematics, Second Series 29 (1/4): 276-312.
  • Xu Weichao, Yunhe Hou, Hung Y. s. & Yuexian zou, 2010. Comparison of Spearman's rho and Kendall's tau in normal and contaminated normal models. Manuscript submitted to IEEE Transactions on Information Theory (http:// arxiv.org/PS_cache/arxiv/pdf/1011/1011.2009v1.pdf) Yule G.U., 1897a. On the significance of Bravais' formulae for regression, in the case of skew correlation. Proceedings of the Royal Society of London Ser. A 60: 477-489.
  • Yule G.U., 1897b. On the theory of correlation. Journal of the Royal Statistical Society Ser. A 60: 812-854.
  • Yule G.U., 1903. Notes on the theory of association of attributes in statistics. Biometrika 2: 121-134.
  • Yule G.U., 1907. On the theory of correlation for any number of variables, treated by a new system of notation. Proceedings of the Royal Society of London 79: 182-193.

Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

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