A recurring error in evaluating the effects of different pesticides, pollutants and fertilizers with a zero level

Abstract Background The Quenouille-Addelman solution has been proposed to properly analyze linear models with a crossed or factorial arrangement of treatments that includes a qualitative/categorical and a quantitative factor with a zero level, a situation particularly prevalent in ecotoxicological s...

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Main Author: Gaétan Moreau
Format: Article
Language:English
Published: CABI 2022-09-01
Series:CABI Agriculture and Bioscience
Subjects:
Online Access:https://doi.org/10.1186/s43170-022-00128-0
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author Gaétan Moreau
author_facet Gaétan Moreau
author_sort Gaétan Moreau
collection DOAJ
description Abstract Background The Quenouille-Addelman solution has been proposed to properly analyze linear models with a crossed or factorial arrangement of treatments that includes a qualitative/categorical and a quantitative factor with a zero level, a situation particularly prevalent in ecotoxicological studies. However, a review of the recent literature reveals that this solution isn’t used, perhaps due to a lack of recognition that zero-level factors can produce incomplete factorial arrangements. Results Using practical examples, I demonstrate that the conclusions of a study can be substantially altered if the Quenouille-Addelman solution is not used when warranted. Conclusions Suspecting that the lack of a detailed method may have contributed to the underutilization of the solution, I describe how to apply the solution using current statistical software packages and discuss how the solution can be adapted to address some experimental situations not previously considered.
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spelling doaj-art-691691ea94b143d48072f0b8ffcdce762025-02-02T03:57:41ZengCABICABI Agriculture and Bioscience2662-40442022-09-01311610.1186/s43170-022-00128-0A recurring error in evaluating the effects of different pesticides, pollutants and fertilizers with a zero levelGaétan Moreau0Université de MonctonAbstract Background The Quenouille-Addelman solution has been proposed to properly analyze linear models with a crossed or factorial arrangement of treatments that includes a qualitative/categorical and a quantitative factor with a zero level, a situation particularly prevalent in ecotoxicological studies. However, a review of the recent literature reveals that this solution isn’t used, perhaps due to a lack of recognition that zero-level factors can produce incomplete factorial arrangements. Results Using practical examples, I demonstrate that the conclusions of a study can be substantially altered if the Quenouille-Addelman solution is not used when warranted. Conclusions Suspecting that the lack of a detailed method may have contributed to the underutilization of the solution, I describe how to apply the solution using current statistical software packages and discuss how the solution can be adapted to address some experimental situations not previously considered.https://doi.org/10.1186/s43170-022-00128-0Factorial arrangementIncomplete factorial arrangementQualitative factorZero level
spellingShingle Gaétan Moreau
A recurring error in evaluating the effects of different pesticides, pollutants and fertilizers with a zero level
CABI Agriculture and Bioscience
Factorial arrangement
Incomplete factorial arrangement
Qualitative factor
Zero level
title A recurring error in evaluating the effects of different pesticides, pollutants and fertilizers with a zero level
title_full A recurring error in evaluating the effects of different pesticides, pollutants and fertilizers with a zero level
title_fullStr A recurring error in evaluating the effects of different pesticides, pollutants and fertilizers with a zero level
title_full_unstemmed A recurring error in evaluating the effects of different pesticides, pollutants and fertilizers with a zero level
title_short A recurring error in evaluating the effects of different pesticides, pollutants and fertilizers with a zero level
title_sort recurring error in evaluating the effects of different pesticides pollutants and fertilizers with a zero level
topic Factorial arrangement
Incomplete factorial arrangement
Qualitative factor
Zero level
url https://doi.org/10.1186/s43170-022-00128-0
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AT gaetanmoreau recurringerrorinevaluatingtheeffectsofdifferentpesticidespollutantsandfertilizerswithazerolevel