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

Usage license:: Get license information via the feedback formular.

CONTENTS. 9 Illustration iii.: The weather and the crops—14. Corre- lation between the movements of two variables: (a) Non-periodic movements: Illustration iv.: changes in infantile and general mortality—15-17. (b) Quasi-periodic movements : Illustration v.: the marriage-rate and foreign trade—18. Elementary methods of dealing with cases of non-linear regression—19. Certain rough methods ofapproxi- mating to the correlation-coefficient—20-22, The correla- tion-ratio . . : . . 191-209 CHAPTER XI. MISCELLANEOUS THEOREMS INVOLVING THE USE OF THE CORRELATION-COEFFICIENT. 1. Introductory—2. Standard-deviation of a sum or difference— 3-5. Influence of errors of observation and of grouping on the standard-deviation—6-7. Influence of errors of observation on the correlation-coefficient (Spearman’s theorems) — 8. Mean and standard-deviation of an index-—9. Correlation between indices—10. Correlation-coefficient for a two x two- fold table—11. Correlation-coefficient for all possible pairs of NN values of a variable—12. Correlation due to heterogeneity of material —18. Reduction of correlation due to mingling of uncorrelated with correlated material — 14-17. The weighted mean—18-19. Application of weighting to the correction of death-rates, etc., for varying sex and age- distributions—20. The weighting of forms of average other than the arithmetic mean . . 210-228 CHAPTER XII. PARTIAL CORRELATION. 1-2. Introductory explanation—3. Direct deduction of the formule for two variables —4. Special notation for the general case : generalised regressions—5. Generalised correlations— 6. Generalised deviations and standard - deviations — 7-8. Theorems concerning the generalised product-sums— 9. Direct interpretation of the generalised regressions— 10-11. Reduction of the generalised standard-deviation— 12. Reduction of the generalised regression—13. Reduction of the generalised correlation-coefficient—14. Arithmetical work : Example i. ; Example ii.—15. Geometrical repre- sentation of correlation between three variables by means of a model —16. The coefficient of n-fold correlation—17. Ex- pression of regressions and correlations of lower in terms of those of higher order—18. Limiting inequalities between the values of correlation-coefficients necessary for consist- ence—19. Fallacies . . . 229-253 X1i PAGE

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