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An Introduction to the theory of statistics

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fullscreen: An Introduction to the theory of statistics

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 I. The theory of atributes
Collection:
Economics Books

Contents

Table of contents

  • An Introduction to the theory of statistics
  • Title page
  • Part I. The theory of atributes
  • Part II. The theory of variables
  • Part III. Theory of sampling
  • Index

Full text

THEORY OF STATISTICS. 
AX to the sum S. The total value of S is accordingly ¢V, and the 
value of C— 
t—1 
o=y/ So 
This is the greatest possible value of C' for a symmetrical ¢ x z-fold 
classification, and therefore, in such a table, for— 
- 7 “7 cannot exceed 0-707 
: 316 
: +366 
. 0894 
0913 
1-926 
D035 
2943 
t= 10 »y 0949 
It is as well, therefore, to restrict the use of the “coefficient of 
contingency ” to 5 x 5-fold or finer classifications. At the same 
time the classification must not be made too fine, or else the value 
of the coefficient is largely affected by casual irregularities of no 
physical significance in the class-frequencies (cf. the remarks: in 
Chap. III. §§ 7-8). 
TasLE III. —Independence- Values of the Frequencies for Table IT. 
Eye-colour. Fair. | Brown. Black. | Red. 
Blue. | 2a or a SL TOM 1028 506 | 48°0 
Grey or Green . ; . . - IR1303 | 1212 | 563 534 
Brown . 2 v : I. 357 332 154 | 14+6 
8. As the classification of Table II. is only 3 x 4-fold, it is rather 
crude for the purpose of calculating the coefficient, but will serve 
simply as an illustration of the form of the arithmetic. In Table 
ITI. are given the values of the independence frequencies, 2829 x 
2811/6800=1169 and so on. The value of x2 is more readily 
calculated from equation (5) than from (3) :— 
66
	        

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