order_dependencies

pyoptex.utils.model.order_dependencies(model, factors)

Create a dependency matrix from a model where interactions and higher order effects depend on their components and lower order effects.

For example: * \(x_0\): depends only on the intercept. * \(x_0^2\): depends on \(x_0\), which in turn depends on the intercept. * \(x_0 x_1\): depends on both \(x_0\) and \(x_1\), which both depend on the intercept. * \(x_0^2 x_1\) : depends on both \(x_0^2\) and \(x_1\), which depend on \(x_0\) and the intercept.

Parameters

modelpd.DataFrame

The model

factorslist(Factor)

The list of factors in the design.

Returns

depnp.array(2d)

The dependency matrix of size (N, N) with N the number of terms in the encoded model. Term i depends on term j if dep(i, j) = true.