An Introduction to the theory of statistics

Bibliographic data

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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Document type:: Monograph

Structure type:: Chapter

Title:: Part II. The theory of variables

Collection:: Economics Books

. THEORY OF STATISTICS. only a part of the information afforded by the original data or the correlation table. The correlation table itself, or the original data if no correlation table has been compiled, should always be given, unless considerations of space or of expense absolutely preclude the adoption of such a course. REFERENCES. The theory of correlation was first developed on definite assumptions as to the form of the distribution of frequency, the so-called ‘‘ normal distribution ” (Chap. XVI.) being assumed. In (1) Bravais introduced the product-sum, but not a single symbol for a coefficient of correlation. Sir Francis Galton, in (2), (3), and (4), developed the practical method, determining his coefficient (Galton’s function, as it was termed at first) graphically. Edgeworth developed the theoretical side further in (5), and Pearson introduced the product-sum formula in (6)—both memoirs being written on the assumption of a “normal” distribution of fre- quency (¢f. Chap. XVI.). The method used in the preceding chapter is based on (7) and (8). (1) BRAVATS, A., ‘‘ Analyse mathématique sur les probabilités des erreurs de situation d’un point,” Acad. des Sciences : Mémoires présentés par divers savants, 11, série, t. ix., 1846, p. 255. (2) Garton, FrANcis, ‘‘ Regression towards Mediocrity in Hereditary Stature,” Jour. Anthrop. Inst., vol. xv., 1886, p. 246. (8) GarToN, FrANcis, ‘‘ Family Likeness in Stature,” Proc. Roy. Soc., vol. x1., 1886, p. 42. (4) Garton, Francis, ‘Correlations and their Measurement,” Proc. Roy. Soc., vol. xlv., 1888, p. 135. (5) EpcEworTH, F. Y., “On Correlated Averages,” Phil. Mag., 5th Series, vol. xxxiv., 1392, p- 190. (6) PEarsoN, KARL, ‘Regression, Heredity, and Panmixia,” Phil. Trans. Roy. Soc., Series A; vol. clxxxvii., 1896, p. 253. (7) YuLg, G. U., “On the significance of Bravais’ Formule for Regression, etc., in the case of Skew Correlation,” Proc. Roy. Soc., vol. 1x., 1897, pr 477. (8) Yur, G. U., “On the Theory of Correlation,” Jour. Roy. Stat. Soc., vol. 1x., 1897, p. 812. (9) DarpISHIRE, A. D., “Some Tables for illustrating Statistical Correla- tion,” Mem. and Proc. of the Manchester Lit. and Phil. Soc., vol. li., 1907. (Tables and diagrams illustrating the meaning of values of the correlation coefficient from 0 to 1 by steps of a twelfth.) Reference may also be made here to— (10) EpcewortH, F. Y., “On a New Method of reducing Observations relating to several Quantities,” Phil. Mag., 5th Series, vol. xxiv., 1887, p- 222, and vol. xxv., 1888, p. 184. (A method of treating correlated variables differing entirely from that described in the preceding chapter, and based on the use of the median: the method involves the use of trial and error to some extent. For some illustrations see F. Y. Edgeworth and A. L. Bowley, Jour. Roy. Stat. Soc., vol. 1xv., 1902, p. 341 et seq.) References to memoirs on the theory of non-linear regression are given at the end of Chapter X. 188

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