Philosophy Dictionary of Arguments

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Covariance: Covariance in physics is a measure of the statistical relationship between two or more physical quantities. It can be used to describe how two quantities are related to each other in space, time, or both. For example, the covariance of the position and momentum of a particle can be used to describe how the particle's momentum changes as its position changes. See also Measurements, Observation.
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Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

 
Author Concept Summary/Quotes Sources

Gerhard Schurz on Covariance - Dictionary of Arguments

I 126
Correlation: is qualitative.
Covariance: is the corresponding quantitative measure of correlation. Covariance between characteristics:
Kov (A,K) = p(A u K) - p(K) times p(A).
Covariance is numerically symmetric, i.e., Kov (A,K) = Kov(K,A).
Correlation measure: on the other hand, is only qualitatively symmetric, i.e., Corr (A,K) > (<) 0, iff. Corr (K,A) > (<) 0.
I 126
The correlation measure is usually not determined for individual characteristics but for the variables as a whole. Recently:

Def Effect Strength/Statistics/Schurz: is a statistical correlation measure defined for individual characteristics. It assumes a binary antecedent variable A, ~A, and an arbitrarily scaled consequence characteristic, and is defined as the difference between the K mean in the A population and in the total population, divided by the K dispersion.
Scale invariance: because effect size is scale-independent, it is popular in meta-analyses.
>Scales/Schurz
, >Probability/Schurz, >Measurements.

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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Schu I
G. Schurz
Einführung in die Wissenschaftstheorie Darmstadt 2006


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Ed. Martin Schulz, access date 2024-04-24
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