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.

Chapter

Document type:: Monograph

Structure type:: Chapter

Title:: Part I. The theory of atributes

Collection:: Economics Books

THEORY OF STATISTICS. 8. The number of observations assigned to any class is termed, for brevity, the frequency of the class, or the class-frequency. Class-frequencies will be denoted by enclosing the corresponding class-symbols in brackets. Thus— (4) denotes number of A's, 1.6. objects possessing attribute 4 (a) 7 ™ a’s, 2: DOG, on A (4B), ' AB's, ,» possessing attributes 4 and B («B) 5 ” abB’s, ” ” » Bbutnot 4 (4BC) ,, 3 ABC's, 2 © ” A, B, and C (aBC) 2 aB(C’s, 2 >: B and C but not 4 (BC) » aBC’s, ’ 2 » C but neither 4 nor B and so on for any number of attributes. If 4 represent, as in the illustration above, blindness, B deafness, C insanity, the symbols given stand for the numbers of the blind, the not-blind, the blind and deaf, the deaf but not blind, the blind, deaf, and vn- sane, the deaf and insane but mot blind, and the insane but neither blind nor deaf, respectively. 9. The attributes denoted by capitals ABC, . .. may be termed positive attributes, and their contraries denoted by Greek letters negative attributes. If a class-symbol include only capital letters, the class may be termed a positive class; if only Greek letters, a negative class. Thus the classes 4, 4B, ABC are positive classes ; the classes a, af, ay, negative classes. If two classes are such that every attribute in the symbol for the one is the negative or contrary of the corresponding attribute in the symbol for the other, they may be termed contrary classes and their frequencies contrary frequencies ; e.g. 4B and of3, 4/8 and aB, 43C and aBy, are pairs of contraries. 10. The classes obtained by noting say = attributes fall into natural groups according to the numbers of attributes used to specify the respective classes, and these natural groups should be borne in mind in tabulating the class-frequencies. A class specified by r attributes may be spoken of as a class of the rth order and its frequency as a frequency of the th order. Thus 45, AC, BC are classes of the second order; (4), (48), (aBC), (4ByD), class-frequencies of the first, second, third, and fourth orders respectively. 11. The classes of one and the same order fall into further groups according to the actual attributes specified. Thus if three attributes 4, B, C' have been noted, the classes of the second order may be specified by any one of the pairs of attributes 4B, AC, or BC (and their contraries). The series of classes or class-frequen- cies given by any one positive class and the classes whose symbols are derived therefrom by substituting Greek letters for one or more of the italic capital letters in every possible way will be termed an aggregate. Thus (4B) (43) (aB) (a3) form an aggre- 10

Access restriction

Copyright

fullscreen: An Introduction to the theory of statistics

Monograph

Chapter

Table of contents

Download

Monograph

Chapter

This page

Image fragment

Citation links

Citation recommendation