Calculate the weight for sparse AUC calculation with the linear-trapezoidal rule

The weight is used as the \(w_i\) parameter in pk.calc.sparse_auc()

Usage

sparse_auc_weight_linear(sparse_pk)

Arguments

sparse_pk

A sparse_pk object from as_sparse_pk()

Value

A numeric vector of weights for sparse AUC calculations the same length as sparse_pk

Details

$$w_i = \frac{\delta_{time,i-1,i} + \delta_{time,i,i+1}}{2}$$ $$\delta_{time,i,i+1} = t_{i+1} - t_i$$

Where:

\(w_i\)

is the weight at time i

\(\delta_{time,i-1,i}\) and \(\delta_{time,i,i+1}\)

are the changes between time i-1 and i or i and i+1 (zero outside of the time range)

\(t_i\)

is the time at time i

See also

Other Sparse Methods: as_sparse_pk(), pk.calc.sparse_auc(), sparse_mean()