A Computationally Simpler Algorithm for the UMVUE of a Normal Mean Following a Group Sequential Trial
When using data collected in a group sequential clinical trial, the sample mean is no longer the uniform minimum variance unbiased estimator (UMVUE) of the mean of a normal distribution. Emerson (1993, Computers and Biomedical Research, 26, 68-73) described an algorithm for computing the UMVUE in th...
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Veröffentlicht in: | Biometrics 1997-03, Vol.53 (1), p.365-369 |
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description | When using data collected in a group sequential clinical trial, the sample mean is no longer the uniform minimum variance unbiased estimator (UMVUE) of the mean of a normal distribution. Emerson (1993, Computers and Biomedical Research, 26, 68-73) described an algorithm for computing the UMVUE in this setting. This algorithm, although computationally expensive, used only the basic software necessary for deriving group sequential boundaries. In this paper, we present an improved algorithm that results in greatly decreased computation times. |
doi_str_mv | 10.2307/2533122 |
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Emerson (1993, Computers and Biomedical Research, 26, 68-73) described an algorithm for computing the UMVUE in this setting. This algorithm, although computationally expensive, used only the basic software necessary for deriving group sequential boundaries. In this paper, we present an improved algorithm that results in greatly decreased computation times.</description><identifier>ISSN: 0006-341X</identifier><identifier>EISSN: 1541-0420</identifier><identifier>DOI: 10.2307/2533122</identifier><identifier>PMID: 9147601</identifier><language>eng</language><publisher>United States: International Biometric Society</publisher><subject>Algorithms ; Analysis of Variance ; Analytical estimating ; Biometrics ; Biometry ; Clinical trials ; Clinical Trials as Topic - statistics & numerical data ; Estimators ; Humans ; Numerical integration ; Point estimators ; Sample size ; Shorter Communications ; Software ; Statistical variance ; Unbiased estimators</subject><ispartof>Biometrics, 1997-03, Vol.53 (1), p.365-369</ispartof><rights>Copyright 1996 The International Biometric Society</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c371t-fcc7214f6a025263ee4cf9f90c28868794fc71519c8a18b685c78563a073e4c3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/2533122$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/2533122$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,780,784,803,832,27924,27925,58017,58021,58250,58254</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/9147601$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Emerson, Scott S.</creatorcontrib><creatorcontrib>Kittelson, John M.</creatorcontrib><title>A Computationally Simpler Algorithm for the UMVUE of a Normal Mean Following a Group Sequential Trial</title><title>Biometrics</title><addtitle>Biometrics</addtitle><description>When using data collected in a group sequential clinical trial, the sample mean is no longer the uniform minimum variance unbiased estimator (UMVUE) of the mean of a normal distribution. Emerson (1993, Computers and Biomedical Research, 26, 68-73) described an algorithm for computing the UMVUE in this setting. This algorithm, although computationally expensive, used only the basic software necessary for deriving group sequential boundaries. In this paper, we present an improved algorithm that results in greatly decreased computation times.</description><subject>Algorithms</subject><subject>Analysis of Variance</subject><subject>Analytical estimating</subject><subject>Biometrics</subject><subject>Biometry</subject><subject>Clinical trials</subject><subject>Clinical Trials as Topic - statistics & numerical data</subject><subject>Estimators</subject><subject>Humans</subject><subject>Numerical integration</subject><subject>Point estimators</subject><subject>Sample size</subject><subject>Shorter Communications</subject><subject>Software</subject><subject>Statistical variance</subject><subject>Unbiased estimators</subject><issn>0006-341X</issn><issn>1541-0420</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp1kF9LwzAUxYMoc07xEwh5EH2q5k_bpI9jbFNw-rBNfCtZTLaOtKlJiuzbG1nxzZd7uff8OBwOANcYPRCK2CPJKMWEnIAhzlKcoJSgUzBECOUJTfHHObjwfh_PIkNkAAYFTlmO8BCoMZzYuu2CCJVthDEHuKzq1igHx2ZrXRV2NdTWwbBTcL14X0-h1VDAV-tqYeBCiQbOrDH2u2q28T93tmvhUn11qglVJFYuzktwpoXx6qrfI7CaTVeTp-Tlbf48Gb8kkjIcEi0lIzjVuUAkIzlVKpW60AWShPOcsyLVkuEMF5ILzDc5zyTjWU4FYjSidATujratszGAD2VdeamMEY2ynS8Z54wRziJ4fwSls947pcvWVbVwhxKj8rfPsu8zkje9Zbep1ecf1xcY9dujvvfBun9tfgA5kXlA</recordid><startdate>19970301</startdate><enddate>19970301</enddate><creator>Emerson, Scott S.</creator><creator>Kittelson, John M.</creator><general>International Biometric Society</general><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>19970301</creationdate><title>A Computationally Simpler Algorithm for the UMVUE of a Normal Mean Following a Group Sequential Trial</title><author>Emerson, Scott S. ; Kittelson, John M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c371t-fcc7214f6a025263ee4cf9f90c28868794fc71519c8a18b685c78563a073e4c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>Algorithms</topic><topic>Analysis of Variance</topic><topic>Analytical estimating</topic><topic>Biometrics</topic><topic>Biometry</topic><topic>Clinical trials</topic><topic>Clinical Trials as Topic - statistics & numerical data</topic><topic>Estimators</topic><topic>Humans</topic><topic>Numerical integration</topic><topic>Point estimators</topic><topic>Sample size</topic><topic>Shorter Communications</topic><topic>Software</topic><topic>Statistical variance</topic><topic>Unbiased estimators</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Emerson, Scott S.</creatorcontrib><creatorcontrib>Kittelson, John M.</creatorcontrib><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>Biometrics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Emerson, Scott S.</au><au>Kittelson, John M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Computationally Simpler Algorithm for the UMVUE of a Normal Mean Following a Group Sequential Trial</atitle><jtitle>Biometrics</jtitle><addtitle>Biometrics</addtitle><date>1997-03-01</date><risdate>1997</risdate><volume>53</volume><issue>1</issue><spage>365</spage><epage>369</epage><pages>365-369</pages><issn>0006-341X</issn><eissn>1541-0420</eissn><abstract>When using data collected in a group sequential clinical trial, the sample mean is no longer the uniform minimum variance unbiased estimator (UMVUE) of the mean of a normal distribution. Emerson (1993, Computers and Biomedical Research, 26, 68-73) described an algorithm for computing the UMVUE in this setting. This algorithm, although computationally expensive, used only the basic software necessary for deriving group sequential boundaries. In this paper, we present an improved algorithm that results in greatly decreased computation times.</abstract><cop>United States</cop><pub>International Biometric Society</pub><pmid>9147601</pmid><doi>10.2307/2533122</doi><tpages>5</tpages></addata></record> |
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subjects | Algorithms Analysis of Variance Analytical estimating Biometrics Biometry Clinical trials Clinical Trials as Topic - statistics & numerical data Estimators Humans Numerical integration Point estimators Sample size Shorter Communications Software Statistical variance Unbiased estimators |
title | A Computationally Simpler Algorithm for the UMVUE of a Normal Mean Following a Group Sequential Trial |
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