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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THEORY OF STATISTICS. Interpolating in the table of areas of the normal curve on p. 310, or taking the required figure directly from Table II. of Tables for Statisticians, we have: — Greater fraction of area for a deviation of ‘84 in the normal curve . . : . 7990 Area in the tail . : : g 452005 Area in both tails 401 That is to say, the probability of getting a difference, of either sign, as great as or greater than that actually observed is "401, agreeing, within the accuracy of ‘the arithmetic, with the probability given by the x* method. The same result would again have been obtained had we worked from the columns instead of from the rows, and considered the difference between the proportions of white flowers for prickly and for smooth fruits respectively. Example ii.—(Data from ref. 6 of Chapter III, Table XIV.) The following table shows the result of inoculation against cholera on a certain tea estate :— Not-attacked. Attacked. Total. Inoculated . Wie Be 2k : AL 9 200 Not-inoculated 2943 Sr Total . : 2 ‘ 3 As in the last example, the independence-frequencies have been given below the numbers observed. The value of 8 is 3:3, and 1 1 1 EB) 2 =(3" A B — ee —— = i X= rr + 53 mars 51) ~ 32 From the table on p. 386 P is “0706. Working from the proportions attacked, we can arrive at the same result. Proportion attacked amongst inoculated . . 01147 > ys i not-inoculated . ‘03000 Difference . 01853 The standard error of the difference is Fos 98098 x 01902( 1 200) 01025. \ = 36 7300 ? 382 DM 1a 73¢

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