An Introduction to the theory of statistics

Bibliographic data

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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ANSWERS, ETC., TO EXERCISES GIVEN. 401 not exhibit nerve-signs, or with the girls in general. As the association amongst those who do not exhibit nerve-signs is quite as high ss for the girls in general, the ‘‘ conclusion ” quoted does not seem valid. 2. (1) 2) (1) (2) per per per per thousand. thousand. thousand. thousand. (B)/N 3:2 75 (4)/N) 0-9 4-0 (4B)/(4) 149 117 | (4B)/(B) 40 63 (BOC) 38°8 62-0 (40)/(C) 6°6 18-8 (4BO)[(4C) 216 214 (4BO)[(BC) 36°8 638 The above give the two simplest comparisons, either of which is sufficient to show that there is a high association between blindness and mental derange- ment amongst the deaf-mutes as well as in the general population ; amongst the old, the association is, in fact, small for the general population, but well- marked for deaf-mutes. This result stands in direct contrast with that of Qu. 1, where the association between the two defects 4 and D was much smaller in the defective universe 8 than in the universe at large. As previously stated, no great reliance can be placed on the census data as to these infirmities. 3. If the cancer death-rates for farmers over 45 and under 45 respectively were the same as for the population at large, the rate for all farmers 15— would be 1°11. This is slightly less than the actual rate 1:20, but the excess would not justify the statement that ‘‘ farmers were peculiarly liable to cancer.” It is, in point of fact, due to the further differences of age-distribution that we have neglected, e.g. amongst those over 45 there are more over 55 amongst farmers than amongst the general population, and so on. 4. 15 per cent. 6. If 4 and B were independent in both C and 4 universes, we would have (4 B) equal to . - 471x419 151x139 617 T 383 =374"7. Actually (4B) only=358. Therefore 4 and B must be disassociated in one or both partial universes. 9. (1) 68°1 per cent. (2) 42'5 per cent. The fallacy discussed in § 2 is now avoided, and there seems no reason for declining to consider this as evidence of the effect of expenditure on election results. 10. The limits to y are— y<i(Bz-22-1) > H(z +2a?), subject to the conditions yz, y<{0, y<22-1. No inference of a positive association from two negatives is possible unless z lies between the limits "382... 618 ie 11. The limits to ¥ are :— (1) y<3(6x- 622-1) > (x + 622), subject to conditions y<0, {4x -1, pe. An inference is only possible from positive associations of 4 Band 4C if =p t ; an inference is only possible from two negative associationsif lies between 211 . . . .and 274. . . . Note that = cannot exceed 3. (2) y<¥(6x—3x*-1) > 4(22 + 322), subject to conditions y<40, (52-1, p=. 26

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