An Introduction to the theory of statistics

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Monograph

Identifikator:: 1751319059

URN:: urn:nbn:de:zbw-retromon-129553

Document type:: Monograph

Title:: Répertoire des administrateurs & commissaires de société, des banques, banquiers et agents de change de France et de Belgique

Place of publication:: Paris [u.a.]

Year of publication:: [1926]

Scope:: 1316 S.

Digitisation:: 2021

Collection:: Economics Books

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Document type:: Monograph

Structure type:: Chapter

Title:: Loi portant modification aux lois sur les droits de timbre d'enregistrement de greffe, d'hypotheque, de succession

Collection:: Economics Books

XIL—PARTIAL CORRELATION. 247 scale starting from zero, as very small values of pauperism occur : a scale of out-relief ratio is taken along the angle between the back and bottom of the box, starting from zero at the left: finally, the scale of earnings is drawn out towards the observer along the angle between the left-hand side and the bottom, but as earnings lower than 12s. do not occur, the scale may start from 12s. at the corner. Suitable scales are: pauperism, 1 in.=1 per cent. ; out- relief ratio, 1 in.=1 unit; earnings, 1 in.=1s.; and the inside measures of the model may then be 17 in. x 10 in. x 8 in. high, the dimensions of the model constructed. Given these three scales, any set of observed values determine a point within the “box.” The earnings and out-relief ratio for some one union are noted first, and the corresponding point marked on the baseboard ; a steel wire is then inserted vertically in the base at this point and cut off at the height corresponding, on the scale chosen, to the pauperism in the same union, being finally capped with a small ball or knob to mark the “point” clearly. The model shows very well the general tendency of the pauperism to be the higher the lower the wages and the higher the out-relief, for the highest points lie towards the back and right-hand side of the model. If some representation of all three equations of regression were to be inserted in the model, the result would be rather confusing ; so the most important equation, viz. the second, giving the average rate of pauperism in terms of the other variables, may be chosen. This equation represents a plane : the lines in which it cuts the right- and left-hand sides of the “box” should be marked, holes drilled at equal intervals on these lines on the opposite sides of the box (the holes facing each other), and threads stretched through these holes, thus outlining the plane as shown in the figure. In the actual model the correlation-diagrams (like fig. 40) corresponding to the three pairs of variables were drawn on the back sides and base: they represent, of course, the eleva- tions and plan of the points. The student possessing some skill in handicraft would find it worth while to make such a model for some case of interest to himself, and to study on it thoroughly the nature of the plane of regression, and the relations of the partial and total correlations. 16. If we write Ol...” Bos...) . (13) it may be shown that R,, . , is the correlation between x, and the expression on the right-hand side of the regression- equation, say €,,5 . .. .,. Where €103....=0rost...n Zot bi300. n.23+ Ce Fines ity La . (14)

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