obs_var_from_Zs

pyoptex.utils.design.obs_var_from_Zs(Zs, N, ratios=None, include_error=True)

Computes the observation covariance matrix from the different groupings. Computed as V = I + sum(ratio * Zi Zi.T) (where Zi is the expanded grouping matrix). For example [0, 0, 1, 1] is represented by [[1, 0], [1, 0], [0, 1], [0, 1]].

Parameters

Zstuple(np.array(1d) or None)

The tuple of grouping matrices. Can include Nones which are ignored.

Nint

The number of runs. Necessary in case no random groups are present.

ratiosnp.array(1d)

The variance ratios of the different groups compared to the variance of the random errors.

include_errorbool

Whether to include the random errors or not.

Returns

Vnp.array(2d)

The observation covariance matrix.