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. The Geometric Mean. (4) Jevons, W. STANLEY, 4 Serious Fall in the Value of Gold ascertained and its Social Effects set forth ; Stanford, London, 1863. Reprinted in Investigations in Currency and Finance ; Macmillan, London, 1884. (The geometric mean applied to the measurement of price changes. ) (5) JEVoNs, W. STANLEY, ‘On the Variation of Prices and the Value of the Currency since 1782,” Jour. Roy. Stat. Soc., vol. xxviii., 1865. Also reprinted in volume cited above. (6) EpcEworrH, F. Y., “On the Method of ascertaining a Change in the Value of Gold,” Jour. Roy. Stat. Soc., vol. xlvi., 1883, p. 714. (Some a of the reasons assigned by Jevons for the use of the geometric mean, (7) GALTON, FRANCIS, ‘The Geometric Mean in Vital and Social Statistics,” Proc. Roy. Soc., vol. xxix., 1879, p. 365. (8) MCALISTER, DoNALD, ‘The Law of the Geometric Mean,” ¢bid., p. 367. (The law of frequency to which the use of the geometric mean would be appropriate.) (9) KarreyN, J. C., Skew Frequency-curves in Biology and Statistics ; Noordhoff, Groningen, and Wm. Dawson, London, 1903. (Contains, amongst other forms, a generalisation of McAlister’s law.) (10) CrawFrorD, G. E., ‘“ An Elementary Proof that the Arithmetic Mean of any number of Positive Quantities is greater than the Geometric Mean,” Proc. Edin. Math. Soc., vol. xviii., 1899-1900. See also refs. 1 and 2. The Mode. (11) PrArsoN, KARL, ‘‘Skew Variation in Homogeneous Material,” Phil. Trans. Roy. Soc., Series A, vol. clxxxvi., 1895, p. 843. (Definition of mode, p. 345.) (12) YuLg, G. U., ‘“Notes on the History of Pauperism in England and Wales, ete. : Supplementary Note on the Determination of the Mode,” Jour. Roy. Stat. Soc., vol. lix., 1896, p. 848. (The note deals with elementary methods of approximately determining the mode : the one- third rule and one other.) (18) PEARSON, KARL, ‘On the Modal Value of an Organ or Character,” Biometrika, vol. i., 1902, p. 260. (A warning as to the inadequacy of mere inspection for determining the mode.) Estimates of Population. (14) WaArErs, A. C., “A Method for estimating Mean Populations in the last Intercensal Period,” Jour. Roy. Stat. Soc., vol. lxiv., 1901, p. 293. (15) Warkrs, A. C., Estimates of Population : Supplement to Annual Report of the Registrar-General for England and Wales (Cd. 2618, 1907, p. cxvii.) For the methods actually used, see the Reports of the Registrar-General of England and Wales for 1907, pp. cxxxii-cxxxiv, and for 1910, pp. xi-xil. Cf. SNxow, ref. 11, Chap. XII, for a different method based on the symptoms of growth such as numbers of births or of houses. Index-numbers. These were incidentally referred to in § 25. The general theory of index-numbers and the different methods in which they may be formed are not considered in the present work. The student will find copious references to the literature in the following :— (16) EpcEWORTH, E. Y., “Reports of the Committee appointed for the 130

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