Computes the mean and variance of a given matrix along its rows.
Cv mat variance.
The eigenvectors are unit vectors representing the direction of the largest variance of the data while the eigenvalues represent the magnitude of this variance in the corresponding directions.
In probability theory and statistics a covariance matrix also known as auto covariance matrix dispersion matrix variance matrix or variance covariance matrix is a square matrix giving the covariance between each pair of elements of a given random vector in the matrix diagonal there are variances i e the covariance of each element with itself.
Coefficient of variation a scalar.
The function ignores nans.
Is defined as std x mean x and as such is a measure of the relative variability.
To calculate standard deviation from variance only take the square root.
If a is a multidimensional array then var a treats the values along the first array dimension whose size does not equal 1 as vectors.
Vice versa variance is standard deviation squared.
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Output nx1 matrix with computed variance.
If a is a vector of observations the variance is a scalar.
Input vector output cv.
In our example the variance was 200 therefore standard deviation is 14 14.
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An example using pca for dimensionality reduction while maintaining an amount of variance.
The size of this dimension becomes 1.
For calculating standard deviation of a data set first calculate the variance and then find the square root.
Cv vl where the covariance matrix can be represented as c vlv 1 which can be also obtained by singular value decomposition.
Output nx1 matrix with computed mean.