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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Chapter

Document type:: Monograph

Structure type:: Chapter

Title:: Part II. The theory of variables

Collection:: Economics Books

X.—CORRELATION : ILLUSTRATIONS AND METHODS. - 207 follows from the last section, are very nearly linea a resu oth ek ‘ confirmed by the diagram of the regression lines (fig. 37, po Bh z On the other hand, it is evident from fig. 39, p. 176, that we = should expect the two correlation-ratios for Table VI. of the same |. \ * ; chapter to differ considerably from each other and from the ¢ x He tion. The values found are Ny =0'14, ,=038 (r= -0014)> 7 18 comparatively low as proportions of male births differ little in the successive arrays, but »,, is higher since the line of regres- sion of ¥ on X is sharply curved. For Table VIII, p. 183, the two ratios are 7,, = 046, 5, =039 (r=0'34). The confirmation of these values is left to the student, The student should notice that the correlation-ratio only affords a satisfactory test when the number of observations is sufficiently large for a grouped correlation table to be formed. In the case of a short series of observations such as that given in Table VII., p. 178, the method is inapplicable. CALCULATION oF THE CORRELATION-RATIO : Erample.—Son’s Stature on Father's Stature : Data of Table II1., Chap. 1X., p. 160. 1. 2. 3. 0. Type of Mean of LX erie Ira Arra " Father's | Sond ofall Som Dofeeener Frequency, Frequency x Stature). Stature). (68-66). 59 64°67 -3+00 15-9201 : 47°76 60 , 6564 - 3-02 91204 35 31-92 61 | 66-34 - 2-32 53824 8 43-06 62 65°56 -3°10 96100 17 163-37 63 66°68 -1-98 39204 335 13133 66-74 - 192 36864 61-5 226-71 ’ 67°19 — 1-47 2-1609 95-5 206-37 { 67°61 ~1+05 11025 142 156-56 : 67-95 -0-71 0-5041 1375 69-31 69°07 + 0°41 01681 154 25-89 « 69°39 +073 0-5329 1415 7541 69-74 +1-08 1'1664 116 135-30 i 70°50 +184 33856 78 264-08 i 70-87 42-21 4-8841 49 239-32 i 72:00 +3734 11-1556 285 317-93 ‘ 7150 +284 80656 : 32°26 i- 7173 +307 9+4249 50 51-84 Total : 1u/8 2218442 omy’ =2218'42/1078 =2058 omy=143 Nyz=143/2'75=0"52. 0.

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