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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SUPPLEMENTS—GOODNESS OF FIT. { being given in the second column. Taking the two groups at the bottom of the table together and testing goodness of fit, x? is found to be 4°11, »” is 5, and P is 0-39. TABLE D.— Theoretical Distribution of Totals of x2 (calculated from Independ- ence-values) for Pairs of Tables with 4 Rows and 4 Columns, compared with the Actual Distribution given by Experimental Tables. fant two Expectation. ~~ Observation. 0-10 68 8 10-15 270 27 15-20 329 31 20-25 20-8 27 25-30 88 30- 37 Total . The general theorem that n” must be taken equal to the number of algebraically independent frequencies increased by unity applies not only to association and contingency tables, but to all cases in which the frequencies observed are connected with those expected by a number of linear relations, beyond their restriction to the same total frequency (Fisher, ref. 76). Thus, if a frequency curve has been fitted by the mean and standard deviation, n’ should be taken as 2 less than the number of classes: if it has been fitted by the first four moments, n’ should be taken as four less than the number of classes, 38" 100-0 100

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