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What are covariances?

What are covariances? Here are some definitions.

Noun
  1. plural of covariance
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Statistically significant covariances among random intercepts, rates of change, and effects of depressed mood and delinquency variety are reported in the text only.
It shows that the genetic variances and covariances contributed by the additive and dominance effects cannot be fully controlled in the model.
Dividing the covariances by the variance gives the autocorrelations.
The demographic variances and covariances of the elements are inversely proportional to the total population size.
The elements of such a correlation matrix do not have asymptotic variances and covariances of the form, even if S has a Wishart distribution.

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