An Introduction to the theory of statistics

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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

IX.—CORRELATION. *3 in fig. 32, nor coincident as in fig. 33, but standing at an acute angle with one another as ZR (means of rows) and CC (means of columns) in figs. 36-8. The complete problem of the statistician, like that of the physicist, is to find formule or equations which will suffice to describe approximately these curves. 9. In the general case this may be a difficult problem, but, in the first place, it often suffices, as already pointed out, to know merely whether on an average high values of the one variable show any tendency to be associated with high or with low values of the other, a purpose which will be served very fairly by fitting a Fre. 33. straight line ; and further, in a large number of cases, it is found either (1) that the means of arrays lie very approximately round straight lines, or (2) that they lie so irregularly (possibly owing only to paucity of observations) that the real nature of the curve is not clearly indicated, and a straight line will do almost as well as any more elaborate curve. (Cf. figs. 36-38.) In such cases —and they are relatively more frequent than might be supposed —the fitting of straight lines to the means of arrays determines all the most important characters of the distribution. We might fit such lines by a simple graphical method, plotting the points representing means of arrays on a diagram like those of figures 36-38, and “fitting ” lines to them, say, by means of a stretched black thread shifted about til] it appeared to run as near as 1H

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