Relationship number

Relationship figures include the statistics to the key figures and set Heterogeneous sizes , which are in a factually meaningful connection with each other in the relationship .

General

Among the key figures are ratios that turn into subordinate numbers , numbers and related metrics are divided. Relationship numbers are always reversible and always have one dimension . While structural numbers are formed by the quotient of the same statistical mass, relationship numbers are ratios that are created by comparing two different statistical masses. The species difference is permissible if there is a substantive connection between the two masses - i.e. a relationship. In this way, stock quantities and flow quantities can also be related to one another.

species

A general distinction is made between causation numbers and correspondence numbers . Causation figures relate a flow variable to a population variable:

${\displaystyle {\text{Geburtenziffer}}={\frac {\text{Lebendgeburten}}{\text{Einwohnerzahl}}}\,}$.

With regard to the birth rate , the number of live births is the flow rate, the population is the stock size.

Corresponding numbers are all other relationship numbers such as population density :

${\displaystyle {\text{Bevölkerungsdichte}}={\frac {\text{Einwohnerzahl}}{\text{Staatsfläche}}}\,}$.

The population density says something about the number of inhabitants, which is distributed over a certain national territory . It is composed exclusively of stock sizes. Since relationship numbers are always reversible, for example, is the reciprocal of the population density, the area formality digit .

In statistical methodology , one also knows the rate and the density number . The rate is a statistical ratio in which the frequency of an event in a certain period is related to the average number of statistical units that were exposed to the risk of the event during the period. The density number is a statistical ratio in which the sizes of two logically different, but temporally and spatially similar statistical entities are compared for the purpose of a statistical comparison.

meaning

In business statistics, series of relationship numbers are often created for the purpose of comparing them over time or in space. Since their parameters generally have a different unit of measurement , relationship numbers are usually not dimensionless . Beyond the analysis of economic ( economic indicators ) or business ( balance sheet analysis , economic indicators ) processes, their importance has increased significantly in public ( e.g. export quota , per capita income , per capita consumption ).

Individual evidence

1. ↑ Claus Brell / Juliana Brell / Siegfried Kirsch, Statistics from Zero to Hundred , 2017, p. 69
2. ↑ Claus Brell / Juliana Brell / Siegfried Kirsch, Statistics from Zero to Hundred , 2017, p. 72
3. ↑ Martin Missong, collection of exercises on descriptive statistics , 2005, p. 209
4. ↑ Peter P. Eckstein, Statistics Repetition , 2013, p. 124
5. ↑ Hans-Friedrich Eckey / Reinhold Kosfeld / Christian Dreger, Statistics: Basics - Methods - Examples , 2000, p. 105