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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2013
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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. |
format | Online Article Text |
id | pubmed-3813515 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
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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