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

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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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Chapter

Document type:: Monograph

Structure type:: Chapter

Title:: Impot sur le revenu execution de l'article 60 des lois coordonnees des 29 octobre 1919 et 3 août 1920

Collection:: Economics Books

216 THEORY OF STATISTICS. any, correlation between their absolute errors. But if the errors be expressed as percentages of the magnitude observed, there may be considerable correlation. It does not follow of necessity that the correlations between indices or ratios are misleading. If the indices are uncorrelated, there will be a similar spurious ” correlation between the absolute measurements Z;.X,=X, and ZyX,=X,, and the answer to the question whether the correlation between indices or that between absolute measures is misleading depends on the further question whether the indices or the absolute measures are the quantities directly determined by the causes under investigation (cf. ref. 13). The case considered, where X; X, X, are uncorrelated, is only a special one; for the general discussion ¢f. ref. 11. For an in- teresting study of actual illustrations cf. ref. 14. 10. Zhe Correlation-coefficient for a two- xX two-fold Table.—The correlation-coefficient is in general only calculated for a table with a considerable number of rows and columns, such as those given in Chapter IX. In some cases, however, a theoretical value is obtainable for the coefficient, which holds good even for the limiting case when there are only two values possible for each variable (e.g. 0 and 1) and consequently two rows and two columns (¢f. one illus- tration in § 11, and for others the references given in questions 11 and 12). It is therefore of some interest to obtain an expression for the coefficient in this case in terms of the class-frequencies. Using the notation of Chapters I.-IV. the table may be written in the form Values of Values of First Variable, Second Variable. Zn . Total £9 (£45 le. ’ #E 1 (4R) == i; a Bc eect cece — Total | (4) | ., r Taking the centre of the table as arbitrary origin and the class-interval, as usual, as the unit, the co-ordinates of the mean are Zia) E={(@) - (4) wnt Lh i= 5A (5)- (B)}:

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