A geometric representation of the Frisch-Waugh-Lovell theorem

Even though the result recently referred to as the "Frisch-Waugh-Lovell theorem" (FWL theorem, henceforth) has been around for a long time, it is relatively recently that it has been widely used by econometricians as a powerful pedagogical tool to express in a simple and intuitive way many...

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Autor principal: Sosa Escudero, Walter
Formato: Articulo Documento de trabajo
Lenguaje:Inglés
Publicado: 2001
Materias:
Ciencias Económicas
indicadores económicos
economía
econometría
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/3500
http://www.depeco.econo.unlp.edu.ar/doctrab/doc29.pdf
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-3500
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Económicas
indicadores económicos
economía
econometría
spellingShingle Ciencias Económicas
indicadores económicos
economía
econometría
Sosa Escudero, Walter
A geometric representation of the Frisch-Waugh-Lovell theorem
topic_facet Ciencias Económicas
indicadores económicos
economía
econometría
description Even though the result recently referred to as the "Frisch-Waugh-Lovell theorem" (FWL theorem, henceforth) has been around for a long time, it is relatively recently that it has been widely used by econometricians as a powerful pedagogical tool to express in a simple and intuitive way many results that often rely on tedious and seldom intuitive algebraic steps, which are also notationally cumbersome. Even though a proof of the FWL theorem can be based entirely on standard algebraic results, the main reason of its increasing popularity is its strong geometric appeal. Recent texts and articles provide a mix between algebraic proofs and geometrical illustrations of the theorem, but none of them presents a fully geometrical proof of the result. The goal of this note is very modest: it extends the standard geometrical representations of the theorem to actually prove it based on geometrical arguments, which should, hopefully, provide a richer understanding of the scope of the theorem.
format Articulo
Documento de trabajo
author Sosa Escudero, Walter
author_facet Sosa Escudero, Walter
author_sort Sosa Escudero, Walter
title A geometric representation of the Frisch-Waugh-Lovell theorem
title_short A geometric representation of the Frisch-Waugh-Lovell theorem
title_full A geometric representation of the Frisch-Waugh-Lovell theorem
title_fullStr A geometric representation of the Frisch-Waugh-Lovell theorem
title_full_unstemmed A geometric representation of the Frisch-Waugh-Lovell theorem
title_sort geometric representation of the frisch-waugh-lovell theorem
publishDate 2001
url http://sedici.unlp.edu.ar/handle/10915/3500
http://www.depeco.econo.unlp.edu.ar/doctrab/doc29.pdf
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