An Introduction to the theory of statistics

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Monograph

Identifikator:: 1779816413

URN:: urn:nbn:de:zbw-retromon-167099

Document type:: Monograph

Author:: Michels, Robert http://d-nb.info/gnd/118733737

Title:: Sittlichkeit in Ziffern?

Place of publication:: München [u.a.]

Publisher:: Duncker & Humblot

Year of publication:: 1928

Scope:: VIII, 229 Seiten

Digitisation:: 2021

Collection:: Economics Books

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Document type:: Monograph

Structure type:: Chapter

Title:: Zweiter Teil. Statistische Vorfragen

Collection:: Economics Books

1: THEORY OF STATISTICS. may be readily obtained from such a curve by dividing the terminal ordinate into ten equal parts, and projecting the points So obtained horizontally across to the curve and then vertically down to the base. The construction is indicated on the figure for the fourth decile, the value of which is approximately 2-88 per cent. 29. The curve of fig. 26 may be drawn in a different way by taking a horizontal base divided into ten or a hundred equal parts (grades, as Sir Francis Galton has termed them), and erecting at each point so obtained a vertical proportional to the cor- responding percentile. This gives the curve of fig. 27, which was obtained by merely redrafting fig. 26. The curve is of so-called fo Jo 20 30 40 S50 60 70 80 90 00 _S: Shp-S0 ad 5 : : 2 2 ¥ 2 I i 3 Ry C= -0 v v i p 1 BN I i 1 I 0 10 20 30 40 50 60 70 80 90 100 Grades Fic. 27.—The curve of Fig. 26 redrawn so as to give the Pauperism corresponding to each grade: Galton’s ‘‘ Ogive.” ogive form. The ogive curve for the distribution of statures (Example iii.) is shown for comparison in fig. 28. It will be noticed that the ogive curve does not bring out the asymmetry of the distribution of pauperism nearly so clearly as the frequency- polygon, fig. 10, p. 92. 30. The method of percentiles has some advantages as a method of representation, as the meaning of the various percentiles is so simple and readily understood. An extension of the method to the treatment of non-measurable characters has also become of some importance. For example, the capacity of the different boys in a class as regards some school subject cannot be directly measured, but it may not be very difficult for the master to 292

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