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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Format: | Article |
Language: | English |
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University of Life Sciences in Poznań
2019-07-01
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Series: | Journal of Agribusiness and Rural Development |
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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. |
first_indexed | 2024-04-13T13:00:13Z |
format | Article |
id | doaj.art-f77bb67401ae41e09b7f706acfe7730e |
institution | Directory Open Access Journal |
issn | 1899-5241 1899-5772 |
language | English |
last_indexed | 2024-04-13T13:00:13Z |
publishDate | 2019-07-01 |
publisher | University of Life Sciences in Poznań |
record_format | Article |
series | Journal of Agribusiness and Rural Development |
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 |