Die Schweiz

An Introduction to the theory of statistics

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Monograph

Identifikator:: 1008917265

URN:: urn:nbn:de:zbw-retromon-19129

Document type:: Monograph

Author:: Flückiger, Otto http://d-nb.info/gnd/117736708

Title:: Die Schweiz

Edition:: Zweite Auflage

Place of publication:: Zürich

Publisher:: Druck und Verlag von Schultheß & Co.

Year of publication:: 1914

Scope:: 1 Online-Ressource (VI, 243 Seiten)

Digitisation:: 2017

Collection:: Economics Books

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

Chapter

Document type:: Monograph

Structure type:: Chapter

Title:: Die Landwirtschaft

Collection:: Economics Books

: THEORY OF STATISTICS. strictly normal, but, as a fact, a rough test suggests that they might have done so. 10. Next we note that the distributions of all arrays of a normal surface should themselves be normal. Owing, however, to the small numbers of observations in any array, the distributions of arrays are very irregular, and their normality cannot be tested in any very satisfactory way: we can only say that they do not exhibit any marked or regular asymmetry. But we can test the allied property of a normal correlation-table, viz. that the totals of arrays must give a normal distribution even if the arrays be taken diagonally across the surface, and not parallel to either axis of measurement (cf. § 6). From an ordinary correlation- table we cannot find the totals of such diagonal arrays exactly, but the totals of arrays at an angle of 45° will be given with sufficient accuracy for our present purpose by the totals of lines of diagonally adjacent compartments. Referring again to Table III, Chap. IX., and forming the totals of such diagonals (running up from left to right), we find, starting at the top left-hand corner of the table, the following distribution :— 0-25 78°75 2 81-25 3.25 665 6-25 5925 8 42-25 9-75 30-75 17 29-25 345 19 42 10°75 46°25 1 605 4-25 67-5 3:5 85°75 1-75 87:25 1 78 0-25 94-25 — Total 1078 The mean of this distribution is at 0359 of an interval above the centre of the interval with frequency 78: its standard-deviation is 4757 intervals, or, remembering that the interval is 1/,/2 of an inch, 3:364 inches. (This value may be checked directly from the constants for the table given in Chap. IX., Question 3, p. 189, for we have from the first of the transformation equations (8), 03 =o07. cos’ 0+ a3 sin’ 0 + 2ry,00,. sin 6 cos 0, 294.

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