An Introduction to the theory of statistics

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Monograph

Identifikator:: 1751730271

URN:: urn:nbn:de:zbw-retromon-127610

Document type:: Monograph

Author:: Yule, George Udny http://d-nb.info/gnd/12910504X

Title:: An Introduction to the theory of statistics

Edition:: 8. ed. rev

Place of publication:: London

Publisher:: Griffin

Year of publication:: 1927

Scope:: XV, 422 S; Ill., Diagr

Digitisation:: 2021

Collection:: Economics Books

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Chapter

Document type:: Monograph

Structure type:: Chapter

Title:: Part II. The theory of variables

Collection:: Economics Books

1F4 THEORY OF STATISTICS. REFERENCES. General. (1) FECHNER, G. T., ‘ Ueber den Ausgangswerth der kleinsten Abweichungs- summe, dessen Bestimmung, Verwendung und Verallgemeinerung,” Abh. d. kgl. sichs. Ges. d. Wissenschaften, vol. xviii. (also numbered vol. xi. of the 4bk. d. math.-phys. Classe) ; Leipzig, 1878, p. 1. Standard Deviation. (2) PEARSON, KARL, ‘Contributions to the Mathematical Theory of Evolution (i. On the Dissection of Asymmetrical Frequency-curves),” Phil. Trans. Roy. Soc., Series A, vol. clxxxv., 1894, p. 71. (Introduction of the term ¢¢ standard deviation,” p. 80.) Mean Deviation. (8) LAPLACE, PIERRE SimoN, Marquis de, Théorie analytique des probabili- tds: 2m supplément, 1818. (Proof that the mean deviation is a minimum when taken about the median.) (4) TRACHTENBERG, M. I., ‘“ A Note on a Property of the Median,” Jour. Roy. Stat. Soc., vol. 1xxviii., 1915, p. 454. (A very simple proof of the same property.) Method of Percentiles, including Quartiles, etc. (5) GALTON, FRANCIS, “‘ Statistics by Intercomparison, with Remarks on the Law of Frequency of Error,” Phil. Mag., vol. xlix. (4th Series), 1875, pp. 83-46. (6) GALTON, FRANCIS, Natural Inheritance ; Macmillan, 1889. (The method of percentiles is used throughout, with the quartile deviation as the measure of dispersion.) Relative Dispersion. (7) PEARSON, Karr, “ Regression, Heredity, and Panmixia,” Phil. Trans. Roy. Soc., Series A, vol. clxxxvii., 1896, p. 253. (Introduction of ¢¢ coefficient of variation,” pp. 276-7.) (8) VERSCHAEFFELT, E., “Ueber graduelle Variabilitit von pflanzlichen Eigenschaften,” Ber, deutsch. bot. Ges., Bd. xii., 1894, pp. 350-55. Skewness. (9) Pearson, KARL, ‘‘ Skew Variation in Homogeneous Material,” Phil. Trans. Roy. Soc., Series A, vol. elxxxvi., 1895, p. 343. (Introduction of term, p. 370.) Calculation of Mean, Standard-deviation, or of the General : Moments of a Grouped Distribution. We have given a direct method that seems the simplest and best for the elementary student. A process of successive summation that has some advantages can, however, be used instead. The student will find a convenient description with illustrations in— (10) ELpERTON, W. PALIN, Frequency-curves and Correlation ; C. & E. Layton, London, 1906. CU a

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