Development and application of a calibration regression routine in conjunction with linear and non-linear chromatographic detector responses
Linear regression is widely used in the calibration of chromatographic assays even in conjunction with some chromatographic detectors which show significant non-linearity in their response characteristics. A calibration routine, based upon the curve y = axln x + bx + c is presented which describes t...
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Veröffentlicht in: | Journal of pharmaceutical and biomedical analysis 1994-04, Vol.12 (4), p.523-531 |
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container_title | Journal of pharmaceutical and biomedical analysis |
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creator | Burrows, John L. Watson, Ken V. |
description | Linear regression is widely used in the calibration of chromatographic assays even in conjunction with some chromatographic detectors which show significant non-linearity in their response characteristics. A calibration routine, based upon the curve
y =
axln
x +
bx +
c is presented which describes the non-linear behaviour of some chromatographic systems, including electron capture, nitrogen—phosphorus and UV photometric detectors, and gives comparable results to weighted linear regression with assays showing linear concentration versus response relationships. The ratio of the coefficients
a and
b in the equation allows quantification of the deviation from linearity and provides a more sensitive indicator of linearity than the correlation coefficient often quoted with linear regression. |
doi_str_mv | 10.1016/0731-7085(94)80031-6 |
format | Article |
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y =
axln
x +
bx +
c is presented which describes the non-linear behaviour of some chromatographic systems, including electron capture, nitrogen—phosphorus and UV photometric detectors, and gives comparable results to weighted linear regression with assays showing linear concentration versus response relationships. The ratio of the coefficients
a and
b in the equation allows quantification of the deviation from linearity and provides a more sensitive indicator of linearity than the correlation coefficient often quoted with linear regression.</description><identifier>ISSN: 0731-7085</identifier><identifier>EISSN: 1873-264X</identifier><identifier>DOI: 10.1016/0731-7085(94)80031-6</identifier><identifier>PMID: 7918769</identifier><identifier>CODEN: JPBADA</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Analytical chemistry ; Assay calibration ; Blood Chemical Analysis ; Calibration ; Chemistry ; Chromatographic methods and physical methods associated with chromatography ; Chromatography - methods ; Chromatography, High Pressure Liquid ; Electrochemistry ; estimation of curvature ; Exact sciences and technology ; Humans ; Monte Carlo Method ; non-linear regression ; Regression Analysis ; Spectrophotometry, Ultraviolet</subject><ispartof>Journal of pharmaceutical and biomedical analysis, 1994-04, Vol.12 (4), p.523-531</ispartof><rights>1994</rights><rights>1994 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c301t-7f0726046b41649bd579c9f27ff37f014af705925bdce549e60ba05d56bdaeb13</citedby><cites>FETCH-LOGICAL-c301t-7f0726046b41649bd579c9f27ff37f014af705925bdce549e60ba05d56bdaeb13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/0731-7085(94)80031-6$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=4155415$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/7918769$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Burrows, John L.</creatorcontrib><creatorcontrib>Watson, Ken V.</creatorcontrib><title>Development and application of a calibration regression routine in conjunction with linear and non-linear chromatographic detector responses</title><title>Journal of pharmaceutical and biomedical analysis</title><addtitle>J Pharm Biomed Anal</addtitle><description>Linear regression is widely used in the calibration of chromatographic assays even in conjunction with some chromatographic detectors which show significant non-linearity in their response characteristics. A calibration routine, based upon the curve
y =
axln
x +
bx +
c is presented which describes the non-linear behaviour of some chromatographic systems, including electron capture, nitrogen—phosphorus and UV photometric detectors, and gives comparable results to weighted linear regression with assays showing linear concentration versus response relationships. The ratio of the coefficients
a and
b in the equation allows quantification of the deviation from linearity and provides a more sensitive indicator of linearity than the correlation coefficient often quoted with linear regression.</description><subject>Analytical chemistry</subject><subject>Assay calibration</subject><subject>Blood Chemical Analysis</subject><subject>Calibration</subject><subject>Chemistry</subject><subject>Chromatographic methods and physical methods associated with chromatography</subject><subject>Chromatography - methods</subject><subject>Chromatography, High Pressure Liquid</subject><subject>Electrochemistry</subject><subject>estimation of curvature</subject><subject>Exact sciences and technology</subject><subject>Humans</subject><subject>Monte Carlo Method</subject><subject>non-linear regression</subject><subject>Regression Analysis</subject><subject>Spectrophotometry, Ultraviolet</subject><issn>0731-7085</issn><issn>1873-264X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp9kc2KFDEUhYM4jO3oGyhkIaKL0qQqP53NgIw_Iwy4UXAXUqmb6QxVSZmkZvAdfGjT3UUvZxGSm_Pdw-VchF5R8oESKj4S2dFGki1_p9j7LSG1Ek_Qhm5l17SC_X6KNifkGXqe8x0hhFPFztG5VBUTaoP-fYZ7GOM8QSjYhAGbeR69NcXHgKPDBlsz-j4dPxLcJsj58IxL8QGwD9jGcLcEeyAefNnhsQomHexCDM1a2l2KkynxNpl55y0eoIAtMVXXPMeQIb9AZ86MGV6u9wX69fXLz6vr5ubHt-9Xn24a2xFaGumIbAVhomdUMNUPXCqrXCud66pGmXGScNXyfrDAmQJBekP4wEU_GOhpd4HeHn3nFP8skIuefLYwjiZAXLKWQrZbSWUF2RG0KeacwOk5-cmkv5oSvV-C3ies9wlrxfRhCVrUtter_9JPMJya1tSr_mbVTa7xumSC9fmEMcp5PRW7PGJQs7j3kHS2HoKFwaeanB6if3yO_xh8prw</recordid><startdate>199404</startdate><enddate>199404</enddate><creator>Burrows, John L.</creator><creator>Watson, Ken V.</creator><general>Elsevier B.V</general><general>Elsevier Science</general><scope>IQODW</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>199404</creationdate><title>Development and application of a calibration regression routine in conjunction with linear and non-linear chromatographic detector responses</title><author>Burrows, John L. ; Watson, Ken V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c301t-7f0726046b41649bd579c9f27ff37f014af705925bdce549e60ba05d56bdaeb13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1994</creationdate><topic>Analytical chemistry</topic><topic>Assay calibration</topic><topic>Blood Chemical Analysis</topic><topic>Calibration</topic><topic>Chemistry</topic><topic>Chromatographic methods and physical methods associated with chromatography</topic><topic>Chromatography - methods</topic><topic>Chromatography, High Pressure Liquid</topic><topic>Electrochemistry</topic><topic>estimation of curvature</topic><topic>Exact sciences and technology</topic><topic>Humans</topic><topic>Monte Carlo Method</topic><topic>non-linear regression</topic><topic>Regression Analysis</topic><topic>Spectrophotometry, Ultraviolet</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Burrows, John L.</creatorcontrib><creatorcontrib>Watson, Ken V.</creatorcontrib><collection>Pascal-Francis</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of pharmaceutical and biomedical analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Burrows, John L.</au><au>Watson, Ken V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Development and application of a calibration regression routine in conjunction with linear and non-linear chromatographic detector responses</atitle><jtitle>Journal of pharmaceutical and biomedical analysis</jtitle><addtitle>J Pharm Biomed Anal</addtitle><date>1994-04</date><risdate>1994</risdate><volume>12</volume><issue>4</issue><spage>523</spage><epage>531</epage><pages>523-531</pages><issn>0731-7085</issn><eissn>1873-264X</eissn><coden>JPBADA</coden><abstract>Linear regression is widely used in the calibration of chromatographic assays even in conjunction with some chromatographic detectors which show significant non-linearity in their response characteristics. A calibration routine, based upon the curve
y =
axln
x +
bx +
c is presented which describes the non-linear behaviour of some chromatographic systems, including electron capture, nitrogen—phosphorus and UV photometric detectors, and gives comparable results to weighted linear regression with assays showing linear concentration versus response relationships. The ratio of the coefficients
a and
b in the equation allows quantification of the deviation from linearity and provides a more sensitive indicator of linearity than the correlation coefficient often quoted with linear regression.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><pmid>7918769</pmid><doi>10.1016/0731-7085(94)80031-6</doi><tpages>9</tpages></addata></record> |
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ispartof | Journal of pharmaceutical and biomedical analysis, 1994-04, Vol.12 (4), p.523-531 |
issn | 0731-7085 1873-264X |
language | eng |
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source | MEDLINE; Access via ScienceDirect (Elsevier) |
subjects | Analytical chemistry Assay calibration Blood Chemical Analysis Calibration Chemistry Chromatographic methods and physical methods associated with chromatography Chromatography - methods Chromatography, High Pressure Liquid Electrochemistry estimation of curvature Exact sciences and technology Humans Monte Carlo Method non-linear regression Regression Analysis Spectrophotometry, Ultraviolet |
title | Development and application of a calibration regression routine in conjunction with linear and non-linear chromatographic detector responses |
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