Taxämter oder private Schätzungen?

Bibliographic data

Monograph

Identifikator:: 883879484

URN:: urn:nbn:de:zbw-retromon-5824

Document type:: Monograph

Author:: Illig, Hermann

Title:: Das Geldwesen Frankreichs zur Zeit der ersten Revolution bis zum Ende der Papiergeldwährung

Place of publication:: Strassburg

Publisher:: Verlag von Karl J. Trübner

Year of publication:: 1914

Scope:: 1 Online-Ressource (XII, 87 Seiten)

Digitisation:: 2017

Collection:: Economics Books

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

Chapter

Document type:: Monograph

Structure type:: Chapter

Title:: II. Abschnitt. Das französische Geldwesen der grossen Revolution bis zum Ende der Papiergeldwährung (von 1789 bis 1796): Die Papiergeldwährung

Collection:: Economics Books

XIIL.—SIMPLE SAMPLING OF ATTRIBUTES. 259 Mean M = 2-000, standard-deviation c=1296. Actual proportion of successes 2:00/12 =0-1667, agreeing with the theoretical value to the fourth place of decimals. Of course such very close agreement is accidental, and not to be always expected. (3) (G. U. Yule.) The following may be taken as an illustra- tion based on a smaller number of observations. Three dice were thrown 648 times, and the numbers of 5s or 6’s noted at each throw. p=1/3, ¢=2/3. Theoretical mean 1. Standard- deviation, 0-816. Frequency-distribution observed :— Successes, Frequency. “ 179 i 298 2 141 o 30 Total 648 M=1'034, 0=0823. Actual proportion of successes 0:345. For other illustrations, some of which are cited in the questions at the end of this chapter, the student may be referred to the list of references on p. 273. The student should notice that in all the distributions given a range of six times the standard- deviation includes either all, or the great bulk of, the observations, as in most frequency-distributions of the same general form. We shall make use of this rule below, § 13. 8. In deducing the formule (1) and (2) for the standard- deviations of simple sampling in the cases with which we have been dealing, only one condition has been explicitly laid down as necessary, viz. the independence of the several drawings, tossings, or other events composing the sample. But in point of fact this is not the only nor the most fundamental condition which has been explicitly or implicitly assumed, and it is necessary to realise all the conditions in order to grasp the limitations under which alone the formule arrived at will hold. Supposing, for example, that we observe among groups of 1000 persons, at different times or in different localities, various percentages of individuals possessing certain characteristics —dark hair, or blindness, or insanity, and so forth. Under what conditions should we expect the observed percentages to obey the law of sampling that we have found, and show a standard-deviation given by equation (2)? (a) In the first place we have tacitly assumed throughout the preceding work that our dice or our coins were the same set or

Access restriction

Copyright

Contents: An Introduction to the theory of statistics

Monograph

Chapter

Table of contents

Download

Monograph

Chapter

This page

Image fragment

Citation links

Citation recommendation