Das Baugewerbe in der Volks-, Berufs- und Betriebszählung von 1925

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Monograph

Identifikator:: 1847422136

URN:: urn:nbn:de:zbw-retromon-250625

Document type:: Monograph

Title:: Das Baugewerbe in der Volks-, Berufs- und Betriebszählung von 1925

Place of publication:: Berlin

Publisher:: Deutscher Baugewerksbund (N. Bernhard)

Year of publication:: 1930

Scope:: 183 Seiten; graphische Darstellungen

Digitisation:: 2022

Collection:: Economics Books

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Chapter

Document type:: Monograph

Structure type:: Chapter

Title:: III. Die Bauarbeiterschaft und ihre Zusammensetzung.

Collection:: Economics Books

CHAPTER V. MANIFOLD CLASSIFICATION. 1. The general principle of a manifold classification—2-4. The table of double-entry or contingency table and its treatment by fundamental methods—5-8. The coefficient of contingency—9-10. Analysis of a contingency table by tetrads—11-13. Isotropic and anisotropic distributions—14-15. Homogeneity of the classifications dealt with in this and the preceding chapters: heterogeneous classifications. 1. CrassiricaTiON by dichotomy is, as was briefly pointed out in Chap. I § 5, a simpler form of classification than usually occurs in the tabulation of practical statistics. It may be regarded as a special case of a more general form in which the individuals or objects observed are first divided under, say, s heads, 4; 4, . . .. A, each of the classes so obtained then subdivided under ¢ heads, B,, B,....B, each of these under heads, C,, Cy ..... . C,, and so on, thus giving rise to s. ¢. . . . . . ultimate classes altogether. 2. The general theory of such a manifold as distinct from a twofold or dichotomous classification, in the case of n attributes or characters ABC .... XN, would be extremely complex: in the present chapter the discussion will be confined to the case of two characters, 4 and B, only. If the classification of the 4’s be s- fold and of the B’s t-fold, the frequencies of the st classes of the second order may be most simply given by forming a table with s columns headed 4, to 4, and ¢ rows headed B; to B. The number of the objects or individuals possessing any combination of the two characters, say 4,, and B,, ¢.e. the frequency of the class 4,,B,, is entered in the compartment common to the mth column and the mth row, the st compartments thus giving all the second-order frequencies. The totals at the ends of rows and the feet of columns give the first-order frequencies, <.e. the numbers of 4,’s and B,’s, and finally the grand total at the right-hand bottom corner gives the whole number of observations. Tables I. and II. below will serve as illustrations of such tables of double-entry or contingency tables, as they have been termed by Professor Pearson (ref. 1). 60

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