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What is a correlation coefficient?

What is a correlation coefficient? Here are some definitions.

Noun
  1. (statistics) Any of the several measures indicating the strength and direction of a linear relationship between two random variables.
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Examples
For each genome and each kind of bias, we compute a correlation coefficient that expresses the strength of the bias for the genome.
Whether a correlation coefficient is statistically significant or not will be affected by two factors.
We calculated a partial correlation coefficient that adjusted for both partners' ages.
The Kappa coefficient is the statistical parameter used for ordinal data and the intra-class correlation coefficient for continuum data.
If the magnitude of the correlation coefficient is less than one, it means that the backscattering at HH and VV are not directly related.
The reliability coefficient may be interpreted as a correlation coefficient between this measurement and a hypothetical remeasurement taken under similar conditions.

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