CONSIDERATIONS ON THE VALIDITY AND APPLICABILITY OF THE UEK METHOD

In Popławski and Kaczmarczyk (2013) a method referred to as UEK was presented and used as a tool in the analysis of sustainable rural development. The purpose of this paper is to demonstrate the methodological inappropriateness of that method. In the linear regression model, the matrix of explanator...

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Main Authors: Anna Pajor, Barbara Kawa
Format: Article
Language:English
Published: University of Life Sciences in Poznań 2019-07-01
Series:Journal of Agribusiness and Rural Development
Subjects:
Online Access:http://www1.up.poznan.pl/jard/index.php/jard/article/view/1254
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author Anna Pajor
Barbara Kawa
author_facet Anna Pajor
Barbara Kawa
author_sort Anna Pajor
collection DOAJ
description In Popławski and Kaczmarczyk (2013) a method referred to as UEK was presented and used as a tool in the analysis of sustainable rural development. The purpose of this paper is to demonstrate the methodological inappropriateness of that method. In the linear regression model, the matrix of explanatory variables can have either less than full or full column rank. While all regression parameters are non-estimable in the first case, the well-known and widely used ordinary least squares method can be applied in the second one.
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spelling doaj.art-f77bb67401ae41e09b7f706acfe7730e2022-12-22T02:45:57ZengUniversity of Life Sciences in PoznańJournal of Agribusiness and Rural Development1899-52411899-57722019-07-0152210.17306/J.JARD.2019.00445CONSIDERATIONS ON THE VALIDITY AND APPLICABILITY OF THE UEK METHODAnna Pajor0Barbara Kawa1Department of Mathematics, Cracow University of Economics, Rakowicka 27 St., 31-510 KrakówCracow University of EconomicsIn Popławski and Kaczmarczyk (2013) a method referred to as UEK was presented and used as a tool in the analysis of sustainable rural development. The purpose of this paper is to demonstrate the methodological inappropriateness of that method. In the linear regression model, the matrix of explanatory variables can have either less than full or full column rank. While all regression parameters are non-estimable in the first case, the well-known and widely used ordinary least squares method can be applied in the second one.http://www1.up.poznan.pl/jard/index.php/jard/article/view/1254linear regressionMoore–Penrose pseudoinverseUEK method
spellingShingle Anna Pajor
Barbara Kawa
CONSIDERATIONS ON THE VALIDITY AND APPLICABILITY OF THE UEK METHOD
Journal of Agribusiness and Rural Development
linear regression
Moore–Penrose pseudoinverse
UEK method
title CONSIDERATIONS ON THE VALIDITY AND APPLICABILITY OF THE UEK METHOD
title_full CONSIDERATIONS ON THE VALIDITY AND APPLICABILITY OF THE UEK METHOD
title_fullStr CONSIDERATIONS ON THE VALIDITY AND APPLICABILITY OF THE UEK METHOD
title_full_unstemmed CONSIDERATIONS ON THE VALIDITY AND APPLICABILITY OF THE UEK METHOD
title_short CONSIDERATIONS ON THE VALIDITY AND APPLICABILITY OF THE UEK METHOD
title_sort considerations on the validity and applicability of the uek method
topic linear regression
Moore–Penrose pseudoinverse
UEK method
url http://www1.up.poznan.pl/jard/index.php/jard/article/view/1254
work_keys_str_mv AT annapajor considerationsonthevalidityandapplicabilityoftheuekmethod
AT barbarakawa considerationsonthevalidityandapplicabilityoftheuekmethod