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Use covariances in a sentence - Example Sentences for covariances

The estimates of Var Z were obtained by averaging the pairwise covariances of the replicates within each protocol, and the estimates of Var e by using the within-protocol variance.

The covariances between the different Zs for the different methods (estimated from the virtual arrays) are shown in Table 6.

The off-diagonal elements of Table 6are the covariances, the diagonal elements are the variances of the virtual arrays.

We notice that covariances among the amplified protocols, which range from 0.

66, are higher than their covariances with the unamplified arrays, which range between 0.

Applied to one vector, the covariance matrix maps a linear combination, 'c', of the random variables, 'X', onto a vector of covariances with those variables: \mathbf c^\top\Sigma = \operatorname(\mathbf c^\top\mathbf X,\mathbf X). Treated as a 2-form, it yields the covariance between the two linear combinations: \mathbf d^\top\Sigma\mathbf c=\operatorname(\mathbf d^\top\mathbf X,\mathbf c^\top\mathbf X).

Since covariances are bilinear form, it follows that

Others call it the 'covariance matrix', because it is the matrix of covariances between the scalar components of the vector X.


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The word covariances


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