English

Functional Choice and Non-significance Regions in Regression

Statistics Theory 2016-05-09 v1 Statistics Theory

Abstract

Given data yy and kk covariates xx the problem is to decide which covariates to include when approximating yy by a linear function of the covariates. The decision is based on replacing subsets of the covariates by i.i.d. normal random variables and comparing the error with that obtained by retaining the subsets. If the two errors are not significantly different for a particular subset it is concluded that the covariates in this subset are no better than random noise and they are not included in the linear approximation to yy.

Keywords

Cite

@article{arxiv.1605.01936,
  title  = {Functional Choice and Non-significance Regions in Regression},
  author = {Laurie Davies},
  journal= {arXiv preprint arXiv:1605.01936},
  year   = {2016}
}