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Reducing the Standard Deviation in Multiple-Assay Experiments Where the Variation Matters but the Absolute Value Does Not

When the value of a quantity [Image: see text] for a number of systems (cells, molecules, people, chunks of metal, DNA vectors, so on) is measured and the aim is to replicate the whole set again for different trials or assays, despite the efforts for a near-equal design, scientists might often obtai...

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Autores principales: Echenique-Robba, Pablo, Nelo-Bazán, María Alejandra, Carrodeguas, José A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3813515/
https://www.ncbi.nlm.nih.gov/pubmed/24205158
http://dx.doi.org/10.1371/journal.pone.0078205
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author Echenique-Robba, Pablo
Nelo-Bazán, María Alejandra
Carrodeguas, José A.
author_facet Echenique-Robba, Pablo
Nelo-Bazán, María Alejandra
Carrodeguas, José A.
author_sort Echenique-Robba, Pablo
collection PubMed
description When the value of a quantity [Image: see text] for a number of systems (cells, molecules, people, chunks of metal, DNA vectors, so on) is measured and the aim is to replicate the whole set again for different trials or assays, despite the efforts for a near-equal design, scientists might often obtain quite different measurements. As a consequence, some systems’ averages present standard deviations that are too large to render statistically significant results. This work presents a novel correction method of a very low mathematical and numerical complexity that can reduce the standard deviation of such results and increase their statistical significance. Two conditions are to be met: the inter-system variations of [Image: see text] matter while its absolute value does not, and a similar tendency in the values of [Image: see text] must be present in the different assays (or in other words, the results corresponding to different assays must present a high linear correlation). We demonstrate the improvements this method offers with a cell biology experiment, but it can definitely be applied to any problem that conforms to the described structure and requirements and in any quantitative scientific field that deals with data subject to uncertainty.
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spelling pubmed-38135152013-11-07 Reducing the Standard Deviation in Multiple-Assay Experiments Where the Variation Matters but the Absolute Value Does Not Echenique-Robba, Pablo Nelo-Bazán, María Alejandra Carrodeguas, José A. PLoS One Research Article When the value of a quantity [Image: see text] for a number of systems (cells, molecules, people, chunks of metal, DNA vectors, so on) is measured and the aim is to replicate the whole set again for different trials or assays, despite the efforts for a near-equal design, scientists might often obtain quite different measurements. As a consequence, some systems’ averages present standard deviations that are too large to render statistically significant results. This work presents a novel correction method of a very low mathematical and numerical complexity that can reduce the standard deviation of such results and increase their statistical significance. Two conditions are to be met: the inter-system variations of [Image: see text] matter while its absolute value does not, and a similar tendency in the values of [Image: see text] must be present in the different assays (or in other words, the results corresponding to different assays must present a high linear correlation). We demonstrate the improvements this method offers with a cell biology experiment, but it can definitely be applied to any problem that conforms to the described structure and requirements and in any quantitative scientific field that deals with data subject to uncertainty. Public Library of Science 2013-10-30 /pmc/articles/PMC3813515/ /pubmed/24205158 http://dx.doi.org/10.1371/journal.pone.0078205 Text en © 2013 Echenique-Robba et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Echenique-Robba, Pablo
Nelo-Bazán, María Alejandra
Carrodeguas, José A.
Reducing the Standard Deviation in Multiple-Assay Experiments Where the Variation Matters but the Absolute Value Does Not
title Reducing the Standard Deviation in Multiple-Assay Experiments Where the Variation Matters but the Absolute Value Does Not
title_full Reducing the Standard Deviation in Multiple-Assay Experiments Where the Variation Matters but the Absolute Value Does Not
title_fullStr Reducing the Standard Deviation in Multiple-Assay Experiments Where the Variation Matters but the Absolute Value Does Not
title_full_unstemmed Reducing the Standard Deviation in Multiple-Assay Experiments Where the Variation Matters but the Absolute Value Does Not
title_short Reducing the Standard Deviation in Multiple-Assay Experiments Where the Variation Matters but the Absolute Value Does Not
title_sort reducing the standard deviation in multiple-assay experiments where the variation matters but the absolute value does not
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3813515/
https://www.ncbi.nlm.nih.gov/pubmed/24205158
http://dx.doi.org/10.1371/journal.pone.0078205
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