An Introduction to the theory of statistics

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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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Chapter

Document type:: Monograph

Structure type:: Chapter

Title:: Part I. The theory of atributes

Collection:: Economics Books

’ THEORY OF STATISTICS. termed the ultimate classes and their frequencies the ultimate frequencies. Hence we may say that #t is never necessary to enumerate more than the ultimate frequencies. All the others can be obtained from these by simple addition. Example i.—(See reference 5 at the end of the chapter.) A number of school children were examined for the presence or absence of certain defects of which three chief descriptions were noted, 4 development defects, B nerve signs, C low nutrition. Given the following ultimate frequencies, find the frequencies of the positive classes, including the whole number of obser- vations JV. (480) 57 (aBC) 78 (4 By) 281 (aBy) 670 (480) 86 (aB0) 65 (48) 453 (By) 8310 The whole number of observations XN is equal to the grand total : =10,000. The frequency of any first-order class, e.g. (4) is given by the total of the four third-order frequencies, the class-symbols for which contain the same letter— (4BC) + (4 By) + (ABC) + (4ABy)= (4) = 871. Similarly, the frequency of any second-order class, e.g. (4B), is given by the total of the two third-order frequencies, the class- symbols for which both contain the same pair of letters— (ABC) + (4 By) = (4B) = 338. The complete results are— N 10,000 AB) 338 (4) 877 40) 143 & 1,086 i 135 0) 286 ABC) 57 14. The number of ultimate frequencies in the general case of n attributes, or the number of classes in an aggregate of the nth order, is given by considering that each letter of the class-symbol may be written in two ways (4 or a, B or 3, C' or vy), and that either way of writing one letter may be combined with either way of writing another. Hence the whole number of ways in which the class-symbol may be written, z.e. the number of classes, is— AE SH EC le 2 -

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