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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ER THEORY OF STATISTICS. If we now compute the theoretical frequencies from (8), putting A="61, we have the following results :— Actual Frequency assigned Deaths: An, by Se Tomit, 0 109 108-7 1 65 66°38 RB 2 202 3 41 1 *7 (4 and over) The agreement here is excellent, but such a concordance is not very common in actual statistics. Cases do, however, occur in which the method is of service, and the advanced student will find that the reasoning illustrated is of value in many theoretical investigations. IV. GOODNESS OF FIT. (Supplementary to Chapter XVII.) IN par. 15, Chapter XV. (p. 308), it was remarked that the general treatment of the problem, whether the discrepancies between any system of observed frequencies and those postulated by a theoretical law might have arisen by the operation of simple sampling, was beyond the scope of this work. As, however, the student will find in the course of his reading that a test of this character is often applied in practical problems, the following notes may be of service by way of comment on, or elucidation of, the highly technical papers in which the subject is fully discussed (see refs. 22 and 23, p. 315, and also additional refs. on p. 394). The student who has followed the argument leading up to the table on p. 310 will have perceived that, when the frequency distribution of a variable is known, the probability that a set of observations departing from the most likely value would occur can be evaluated by comparing the portion of area bounded by the ordinate corresponding to the observed deviation with the whole area of the theoretical curve, and the work is illustrated in Examples i.-iv. of pp. 311-313. In this case there is only a single variable, and the test for goodness of fit is reduced to its simplest terms. But a consideration of Chapter XVI., and the 370

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