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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Index

Document type:: Monograph

Structure type:: Index

Collection:: Economics Books

THEORY OF STATISTICS. 199, fluctuation method, 199-201. Earnings of agricultural labour- refs., 208-209, 391-392, 360, 397 ; ers, pauperism and out-relief, 177— elementary methods for cases of 181 ; constants, (qu. 2) 189, 239 ; non-linear regression, 201-202; correlation-ratios, 207 ; treatment rough methods for estimating co- by partial correlation, 239-241 ; efficient, 202-204 ; correlation- geometrical representation, 245- ratio, 204-207, 252; effect of 247. errors of observation on the co- Old-age pauperism and out- efficient, 213-214; correlation relief, 182-185. between indices, 215-216; co- Changes in pauperism, out- efficient for a fourfold table, relief, proportion of old and popu- direct, 216-217, on assumption of lation, 192-195; partial correla- normal correlation (Pearson’s co- tion, 241-245. efficient) ( refs.), 40, 333, 390 ; for Lengths of mother- and all possible pairs of NV values, 217 daughter-frond in Lemna minor, 218; correlation due to hetero- 185-187. geneity of material, 218-219; Weather and crops, 196-197. effect of adding uncorrelated pairs Movements of infantile and to a given table, 219-220 ; appli- general mortality, 197-199. cation to theory of weighted mean, Movements of marriage-rate and 221-223 ; correlation in theory of foreign trade, 199-201. sampling, 271, 286-289, 342, 349—' Correlation, normal, 317-334; de- 350 ; standard error of coefficient, duction of expression for two 352. Refs., 188, 208-209, 225-226, variables, 318-319 ; constancy of 390, 391, 392. For Illustrations, standard-deviation of arrays and Normal, Partial, Ratio, see below. linearity of regression, 319-320 ; Correlation, Illustrations and Ex- contour lines, 320-321 ; normality amples, correlation between :— of linear functions of two nor- Two diameters of a shell mally distributed variables, 321 ; (Pecten), 158 ; constants (qu. 3), principal axes, 321-322; testing 189. for normality of correlation table Ages of husband and wife, 159 ; for stature, 312-328 ; isotropy of diagram, 173 ; constants (qu. 3), normal correlation table, 328-331 ; 189. outline of theory for any number Statures of father and son, 160 ; of variables, 331-332 ; coefficient diagrams, facing 166, 174 ; con- for a normal distribution grouped stants (qu. 3), 189; correlation- to fourfold form round medians ratios, 206-207 ; testing normality (Sheppard’s theorem), (qu. 4) 334 ; of table, 322-328 ; diagram of dia- applications to theory of quali- gonal distribution, 325; of con- tative observations (refs.), 333. tour-lines fitted with ellipses of Refs., 332-333, 390, 391. normal surface, 327. — partial, 229-253; the problem, Fertility of mother and daugh- partial regressions and correla- ter, 161, 195-196 ; diagram, 175 ; tions, 229-231 ; direct deduction, constants (qu. 3), 189. 365-366 ; notation and defini- Discount rates and percentage tions, 233-234; normal equa- of reserves on deposits, 162; tions, fundamental theorems on diagram, facing 166. product-sums, 234-235; signi- Sex-ratio and numbers of births ficance of generalised regressions in different districts, 163, 175; and correlations, 236 ; reduction diagram, 176 ; constants (qu. 3), of standard-deviation, 236-237 ; of 189; correlation - ratios, 207 ; regression, 237-238; of correla- standard-deviations of arrays and tion, 238 ; arithmetical treatment, comparison with theory of sam- 238-245; representation by a pling (qu. 7) 275 and (qu. 1) 289. model, 245-247 ; coefficient of 410

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