Large numbers of explanatory variables: a probabilistic assessment
Author(s) -
Heather Battey,
D. R. Cox
Publication year - 2018
Publication title -
proceedings of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
eISSN - 1471-2946
pISSN - 1364-5021
DOI - 10.1098/rspa.2017.0631
Subject(s) - regression analysis , statistical model , explanatory model , econometrics , probabilistic logic , key (lock) , statistics , mathematics , computer science , psychology , computer security
Recently, Cox and Battey (2017 Proc. Natl Acad. Sci. USA 114 , 8592–8595 ( doi:10.1073/pnas.1703764114 )) outlined a procedure for regression analysis when there are a small number of study individuals and a large number of potential explanatory variables, but relatively few of the latter have a real effect. The present paper reports more formal statistical properties. The results are intended primarily to guide the choice of key tuning parameters.
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