On the confidence interval of the equivalence point in linear titrations
As the point of intersection in linear-branch titration curves results from two optimized linear regressions, calculated by least-squares from n 1 and n 2 pairs of values of the signal y as a function of the added volume of titrant υ, the value of the equivalence volume V e has the character of an e...
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| Veröffentlicht in: | Talanta (Oxford) 1978-10, Vol.25 (10), p.593-596 |
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| container_title | Talanta (Oxford) |
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| creator | Liteanu, Candin Rîcă, Ion Liteanu, Victor |
| description | As the point of intersection in linear-branch titration curves results from two optimized linear regressions, calculated by least-squares from
n
1 and
n
2 pairs of values of the signal
y as a function of the added volume of titrant υ, the value of the equivalence volume
V
e has the character of an estimated average
V
e hence a confidence interval is associated with it. If the point of intersection
V
e belongs concomitantly to both regressions then the same value of
y
e should correspond to the two extreme values
V′
e and
V′
e of the confidence interval as to
V
e itself. Consequently, the two segments of the confidence interval are obtained by averaging each of the two unequal segments of the separate confidence intervals. Alternatively, considering that multiple estimates of
V
e can be obtained, the confidence interval can be calculated from the normally distributed random variables Δ
a′ and Δ
b′ of the two linear regressions. |
| doi_str_mv | 10.1016/0039-9140(78)80154-4 |
| format | Article |
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n
1 and
n
2 pairs of values of the signal
y as a function of the added volume of titrant υ, the value of the equivalence volume
V
e has the character of an estimated average
V
e hence a confidence interval is associated with it. If the point of intersection
V
e belongs concomitantly to both regressions then the same value of
y
e should correspond to the two extreme values
V′
e and
V′
e of the confidence interval as to
V
e itself. Consequently, the two segments of the confidence interval are obtained by averaging each of the two unequal segments of the separate confidence intervals. Alternatively, considering that multiple estimates of
V
e can be obtained, the confidence interval can be calculated from the normally distributed random variables Δ
a′ and Δ
b′ of the two linear regressions.</description><identifier>ISSN: 0039-9140</identifier><identifier>EISSN: 1873-3573</identifier><identifier>DOI: 10.1016/0039-9140(78)80154-4</identifier><identifier>PMID: 18962331</identifier><language>eng</language><publisher>Netherlands: Elsevier B.V</publisher><ispartof>Talanta (Oxford), 1978-10, Vol.25 (10), p.593-596</ispartof><rights>1978</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c359t-d30d8391c12283243d162035aa06a512ca572b8a640fc42dda17d35ad28c10433</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/0039-9140(78)80154-4$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/18962331$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Liteanu, Candin</creatorcontrib><creatorcontrib>Rîcă, Ion</creatorcontrib><creatorcontrib>Liteanu, Victor</creatorcontrib><title>On the confidence interval of the equivalence point in linear titrations</title><title>Talanta (Oxford)</title><addtitle>Talanta</addtitle><description>As the point of intersection in linear-branch titration curves results from two optimized linear regressions, calculated by least-squares from
n
1 and
n
2 pairs of values of the signal
y as a function of the added volume of titrant υ, the value of the equivalence volume
V
e has the character of an estimated average
V
e hence a confidence interval is associated with it. If the point of intersection
V
e belongs concomitantly to both regressions then the same value of
y
e should correspond to the two extreme values
V′
e and
V′
e of the confidence interval as to
V
e itself. Consequently, the two segments of the confidence interval are obtained by averaging each of the two unequal segments of the separate confidence intervals. Alternatively, considering that multiple estimates of
V
e can be obtained, the confidence interval can be calculated from the normally distributed random variables Δ
a′ and Δ
b′ of the two linear regressions.</description><issn>0039-9140</issn><issn>1873-3573</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1978</creationdate><recordtype>article</recordtype><recordid>eNp9kMFKAzEQhoMotlbfQGRv6mE1k8nuZi-CFLVCoRc9hzTJYmS7aZNU8O3dbYvePA3D_80M8xFyCfQOKJT3lGKd18DpTSVuBYWC5_yIjEFUmGNR4TEZ_yIjchbjJ6WUIcVTMgJRlwwRxmS26LL0YTPtu8YZ22mbuS7Z8KXazDe7yG62rm932dr3aU9kreusCllyKajkfBfPyUmj2mgvDnVC3p-f3qazfL54eZ0-znONRZ1yg9QIrEEDYwIZRwMlo1goRUtVANOqqNhSqJLTRnNmjILK9LFhQgPliBNyvd-7Dn6ztTHJlYvatq3qrN9GWSEKBqWoe5LvSR18jME2ch3cSoVvCVQOCuXgRw5-ZCXkTqHk_djV4cB2ubLmb-jgrAce9oDt3_xyNsio3WDHuGB1ksa7_y_8AMT5ftc</recordid><startdate>197810</startdate><enddate>197810</enddate><creator>Liteanu, Candin</creator><creator>Rîcă, Ion</creator><creator>Liteanu, Victor</creator><general>Elsevier B.V</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>197810</creationdate><title>On the confidence interval of the equivalence point in linear titrations</title><author>Liteanu, Candin ; Rîcă, Ion ; Liteanu, Victor</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-d30d8391c12283243d162035aa06a512ca572b8a640fc42dda17d35ad28c10433</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1978</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liteanu, Candin</creatorcontrib><creatorcontrib>Rîcă, Ion</creatorcontrib><creatorcontrib>Liteanu, Victor</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Talanta (Oxford)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liteanu, Candin</au><au>Rîcă, Ion</au><au>Liteanu, Victor</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the confidence interval of the equivalence point in linear titrations</atitle><jtitle>Talanta (Oxford)</jtitle><addtitle>Talanta</addtitle><date>1978-10</date><risdate>1978</risdate><volume>25</volume><issue>10</issue><spage>593</spage><epage>596</epage><pages>593-596</pages><issn>0039-9140</issn><eissn>1873-3573</eissn><abstract>As the point of intersection in linear-branch titration curves results from two optimized linear regressions, calculated by least-squares from
n
1 and
n
2 pairs of values of the signal
y as a function of the added volume of titrant υ, the value of the equivalence volume
V
e has the character of an estimated average
V
e hence a confidence interval is associated with it. If the point of intersection
V
e belongs concomitantly to both regressions then the same value of
y
e should correspond to the two extreme values
V′
e and
V′
e of the confidence interval as to
V
e itself. Consequently, the two segments of the confidence interval are obtained by averaging each of the two unequal segments of the separate confidence intervals. Alternatively, considering that multiple estimates of
V
e can be obtained, the confidence interval can be calculated from the normally distributed random variables Δ
a′ and Δ
b′ of the two linear regressions.</abstract><cop>Netherlands</cop><pub>Elsevier B.V</pub><pmid>18962331</pmid><doi>10.1016/0039-9140(78)80154-4</doi><tpages>4</tpages></addata></record> |
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| ispartof | Talanta (Oxford), 1978-10, Vol.25 (10), p.593-596 |
| issn | 0039-9140 1873-3573 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_733821689 |
| source | Access via ScienceDirect (Elsevier) |
| title | On the confidence interval of the equivalence point in linear titrations |
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