The agricultural output of England and Wales 1925

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Monograph

Identifikator:: 890236992

URN:: urn:nbn:de:zbw-retromon-15675

Document type:: Monograph

Author:: Wehberg, Heinrich http://d-nb.info/gnd/1054450218

Title:: Die Bodenreform im Lichte des humanistischen Sozialismus

Place of publication:: München

Publisher:: Verlag von Duncker & Humblot

Year of publication:: 1913

Scope:: 1 Online-Ressource (XIII,170 Seiten)

Digitisation:: 2017

Collection:: Economics Books

Usage license:: Get license information via the feedback formular.

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Document type:: Monograph

Structure type:: Chapter

Title:: IV. Die Wohnungsfrage. 1895

Collection:: Economics Books

2a THEORY OF STATISTICS. square root (Chap. XIII. § 12), and this implies a standard error of about 5 units at the centre of the table, 3 units for a frequency of 9, or 2 units for a frequency of 4: such fluctuations might cause wide divergences in the corresponding contour lines. Using the suffix 1 to denote the constants relating to the distribution of stature for fathers, and 2 the same constants for the sons, 4=1078 M,=6770 M,= 6866 i c= ooh ot Tol i. = OEE Hence we have from equation (7) ¥15=267 and the complete expression for the fitted normal surface is y= 00 Jo SEER EEE The equation to any contour ellipse will be given by equating the index of e to a constant, but it is very much easier to draw the ellipses if we refer them to their principal axes. To do this we must first determine 6, 2, and 2, From (9), tan 20 = — 46-49, whence 26=91° 14’, §=45" 37’, the principal axes standing very nearly at an angle of 45° with the axes of measurement, owing to the two standard-deviations being very nearly equal. They should be set off on the diagram, not with a protractor, but by taking tan 6 from the tables (1:022) and calculating points on each axis on either side of the mean. To obtain 2, and 2, we have from (10) and (11) 224+ 22=14961 22, 2,=12-868 Adding and subtracting these equations from each other and taking the square root, 2, 4-2,=5275 2, — 2, =1-447 whence 2, =3-36, 2,=1'91; owing to the principal axes stand- ing nearly at 45° the first value is sensibly the same as that found for oz in § 10. The equations to the contour ellipses, referred to the principal axes, may therefore be written in the form Grae sept [Tore 396

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