results. This is a ten item list giving the regression information chosen from the detail coefficient minimisation (i.e, the information supplied to AdaptNeigh
by AdaptPred
):
Xneighmatrix of X
values corresponding to the neighbours of the removed point. The matrix consists of columns \(1,X[nbrs],X[nbrs]^2,...\) depending on the order of the prediction used and whether or not an intercept is used. Refer to any reference on linear regression for more details.
mmthe matrix from which the prediction is made. In terms of Xneigh
, it is \(({Xneigh}^T Xneigh)^{-1} {Xneigh}^T\) .
bhatThe regression coefficients used in prediction.
weightsthe prediction weights for the neighbours.
predthe predicted function value obtained from the regression.
coeffvector of (modified) detail and scaling coefficients to be used in the update step of the transform.
intif TRUE, an intercept was used in the regression.
schemea character vector denoting the type of regression used in the prediction ("Linear", "Quad" or "Cubic").
detailsa vector of the detail coefficients from which AdaptPred
selects the minimum value. There are six entries. The first three entries represent the detail coefficients from regression with no intercept in increasing order of prediction. The second three details are values for regression with intercept.
minindexthe index into details (results[[9]]
) which produces the minimum value.
newinfo. A six item list containing extra information to be used in the main transform procedure (fwtnp) obtained from the minimisation in AdaptNeigh:
cloboolean value telling the configuration of the neighbours which produce the overall minimum detail coefficient.
totalminindexthe index into mindetails
(below) indicating the overall minimum detail coefficient produced by the procedure.
nbrsthe indices into X
of the neighbours used in the best prediction scheme.
indexthe indices into pointsin
of the neighbours used in the best prediction.
mindetailsa vector of 3*neighbours
entries giving the minimum details produced by each call of AdaptPred
in AdaptNeigh
(for the different number and configuration of neighbours).
minindicesvector of 3*neighbours
entries giving the index (out of 6) of the schemes which produce the best predictions by each call of AdaptPred
in AdaptNeigh
.