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

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:: Répertoire des administrateurs, commissaires, liquidateurs, curateurs, etc., de sociétés

Collection:: Economics Books

IIL.—ASSOCIATION, 41 4. (Figures from same source as Example vii. p. 33, but material differently grouped ; classes 7 and 8 of the memoir treated as *° dark.”) Investigate the association between darkness of eye-colour in father and son from the following data: — Fathers with dark eyes and sons with dark eyes (4B). 50 ry > 5 not-dark eyes (48). 79 Fathers with not-dark eyes and sons with dark eyes (eB) . 89 " » 32 not-dark eyes (af) . 782 Also tabulate for comparison the frequencies that would have been observed had there been no heredity, 7.e. the values of (4B)y, (AB), ete. (811). 5. (Figures from same source as above.) Investigate the association between eye colour of husband and eye colour of wife (‘‘assortative mating”) from the data given below. Husbands with light eyes and wives with light eyes (4B). 309 3 . ’ not-light eyes (48). 214 Husbands with not-light eyes and wives with light eyes (aB). 132 2 ”, » not-light eyes (a8) . 119 Also tabulate for comparison the frequencies that would have been observed had there been strict independence between eye colour of husband and eye colour of wife, 7.e. the values of (4B),, ete., as in question 4. 6. (Figures from the Census of England and Wales, 1891, vol. iii. : the data cannot be regarded as trustworthy.) The figures given below show the number of males in successive age groups, together with the number of the blind (4), of the mentally-deranged (5), and the blind mentally-deranged (AB). Trace the association between blindness and mental derangement from childhood to old age, tabulating the proportions of insane amongst the whole population and amongst the blind, and also the association coefficient Q of § 13. Give a short verbal statement of your results. CT ee ea N 3,304,230 2,712,521 2,089,010 1,611,077 1,191,789 770,124 444,896 161,692 (A) 844 1,184 1,165 1,501 1752 1,905 1,932; 1701 | (2) 2,820 6,225 8,482 9,214 8,187 | 5,799 3,412 1,008 (4B) 17 | 1 19 | 81 | 32 34 22 9 7. Show that if (4B), (aB), (4B), (aB) (4B); (aB); (4B); (aB), be two aggregates corresponding to the same values of (4), (B), (a), and (8), (4B), -(4B),= (aB), — (aB), =(4B)y- (4B) = (aB), — (aB)a 8. Show that if 3=(4B)- (4B), (4B)+ (eB) ~ (aB) - (4B8)2=[(d) - (a)][(B) - (8)] + 2IV. 5. 9. The existence of association may be tested either by comparison of pro- portions (e.g. (4B)/(B) with (4B)/(B)), as in §§ 9, 10, or by the value of 3, us in §§ 11, 12. Show that s=2NB (4D) (5) NU =a) (45) el (Fy Lid) {a}

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