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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Document type:: Monograph

Structure type:: Chapter

Title:: Part II. The theory of variables

Collection:: Economics Books

CHAPTER X. CORRELATION: ILLUSTRATIONS AND PRACTICAL METHODS. L. Necessity for careful choice of variables before proceeding to calculate r— 2-8. Illustration i: Causation of pauperism—9-10. Illustration ii.: Inheritance of fertility—11-13. Illustration iii.: The weather and the crops—14. Correlation between the movements of two variables :—(a) Non-periodic movements: Illustration iv.: Changes in infantile and general mortality—15-17. (3) Quasi-periodic move- ments : Illustration v.: The marriage-rate and foreign trade— 18. Elementary methods of dealing with cases of non-linear regression —19. Certain rough methods of approximating to the correlation coefficient—20-22. The correlation ratio, 1. Tae student—especially the student of economic statistics, to whom this chapter is principally addressed—should be careful to note that the coefficient of correlation, like an average or a measure of dispersion, only exhibits in a summary and compre- hensible form one particular aspect of the facts on which it is based, and the real difficulties arise in the interpretation of the coefficient when obtained. The value of the coefficient may be consistent with some given hypothesis, but it may be equally consistent with others; and not only are care and judgment essential for the discussion of such possible hypotheses, but also a thorough knowledge of the facts in all other possible aspects. Further, care should be exercised from the commencement in the selection of the variables between which the correlation shall be determined. The variables should be defined in such a way as to render the correlations as readily interpretable as possible, and, if several are to be dealt with, they should afford the answers to specific and definite questions. Unfortunately, the field of choice is frequently very much limited, by deficiencies in the available data and so forth, and consequently practical possibilities as well as ideal requirements have to be taken into account. No general rules can be laid down, but the following are given as illustrations of the sort of points that have to be considered. 1901

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