The familywise error rate of a simultaneous confidence band for the incremental net health benefit
Interest in the use of net health benefit in cost‐effectiveness analysis derives from its optimality property for decision‐making. A description of the results of an economic evaluation of health care interventions is incomplete if it does not include point and interval estimates of this outcome mea...
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| Veröffentlicht in: | Health economics 2002-04, Vol.11 (3), p.275-280 |
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| creator | Meisner, Morris Laska, Eugene M. Siegel, Carole Wanderling, Joseph |
| description | Interest in the use of net health benefit in cost‐effectiveness analysis derives from its optimality property for decision‐making. A description of the results of an economic evaluation of health care interventions is incomplete if it does not include point and interval estimates of this outcome measure. A simultaneous confidence band for the incremental net health benefit, INHB(λ), for all λ may be obtained by forming a confidence interval based on student's t statistic, and letting the willingness‐to‐pay value, λ, run over all values. The familywise error rate (FWER) of the simultaneous confidence band is the probability that the confidence interval does not cover the true INHB(λ) for some value of λ. We show that the FWER equals P(T2>t2), where T2 follows Hotelling's central distribution and that the simultaneous confidence band does not cover the true INHB(λ) if and only if a T2 based confidence ellipsoid does not cover the true mean c–e vector. Copyright © 2002 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/hec.656 |
| format | Article |
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A description of the results of an economic evaluation of health care interventions is incomplete if it does not include point and interval estimates of this outcome measure. A simultaneous confidence band for the incremental net health benefit, INHB(λ), for all λ may be obtained by forming a confidence interval based on student's t statistic, and letting the willingness‐to‐pay value, λ, run over all values. The familywise error rate (FWER) of the simultaneous confidence band is the probability that the confidence interval does not cover the true INHB(λ) for some value of λ. We show that the FWER equals P(T2>t2), where T2 follows Hotelling's central distribution and that the simultaneous confidence band does not cover the true INHB(λ) if and only if a T2 based confidence ellipsoid does not cover the true mean c–e vector. 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A description of the results of an economic evaluation of health care interventions is incomplete if it does not include point and interval estimates of this outcome measure. A simultaneous confidence band for the incremental net health benefit, INHB(λ), for all λ may be obtained by forming a confidence interval based on student's t statistic, and letting the willingness‐to‐pay value, λ, run over all values. The familywise error rate (FWER) of the simultaneous confidence band is the probability that the confidence interval does not cover the true INHB(λ) for some value of λ. We show that the FWER equals P(T2>t2), where T2 follows Hotelling's central distribution and that the simultaneous confidence band does not cover the true INHB(λ) if and only if a T2 based confidence ellipsoid does not cover the true mean c–e vector. Copyright © 2002 John Wiley & Sons, Ltd.</description><subject>Cost benefit analysis</subject><subject>Cost effectiveness</subject><subject>Cost-Benefit Analysis - statistics & numerical data</subject><subject>cost-effectiveness analysis</subject><subject>Decision Making</subject><subject>familywise error rate</subject><subject>Health care</subject><subject>Health care expenditures</subject><subject>Health economics</subject><subject>Humans</subject><subject>Models, Statistical</subject><subject>net health benefit</subject><subject>Probability</subject><subject>Program Evaluation - economics</subject><subject>Program Evaluation - methods</subject><subject>simultaneous confidence band pointwise error rate</subject><subject>Statistical analysis</subject><subject>Treatment Outcome</subject><issn>1057-9230</issn><issn>1099-1050</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><sourceid>X2L</sourceid><sourceid>7QJ</sourceid><recordid>eNqFkduKFDEQhhtR3IPiG0jwQi-k1xw66e7LZdjZVRZFWFfxJqSTajprH8Yk42y_vTX0qCCIF5WEyldVf_Jn2TNGzxil_E0H9kxJ9SA7ZrSuc0Ylfbg_yzKvuaBH2UmMd5TiHVWPsyPGas4EF8dZc9MBac3g-3nnIxAIYQokmARkaokh0Q_bPpkRpm0kdhpb72C0QBozOtIimrDejzbAAGMyPRkhkQ5MnzrSwAitT0-yR63pIzw97KfZp_XFzeoqv_5w-XZ1fp1bSUuVy5ZJZ6gtmIKCl6wAJ0RDrRSsLZTjtWucsxJ4UZWSKQcFqyjnlRK2dsAqcZq9XPpuwvR9CzHpwUcLfb-o1yWTEvvK_4KyLGldSorgi7_Au2kbRnyE5oJTpXjFEXq1QDZMMQZo9Sb4wYRZM6r35mg0R6M5SL5byAAbTP3Cdv3c4Xdh5ocWhjFcZgy-LxXGYwiMzT5VSs0rqrs0YLPnB23bZgD3Z-jBWgReL8DO9zD_S5S-ulgt2vKF9jHB_W_ahG9alQLnfn5_qb-w1dfb2_VafxQ_AeGPvyU</recordid><startdate>200204</startdate><enddate>200204</enddate><creator>Meisner, Morris</creator><creator>Laska, Eugene M.</creator><creator>Siegel, Carole</creator><creator>Wanderling, Joseph</creator><general>John Wiley & Sons, Ltd</general><general>Wiley Periodicals Inc</general><scope>BSCLL</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>DKI</scope><scope>X2L</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QJ</scope><scope>7X8</scope></search><sort><creationdate>200204</creationdate><title>The familywise error rate of a simultaneous confidence band for the incremental net health benefit</title><author>Meisner, Morris ; Laska, Eugene M. ; Siegel, Carole ; Wanderling, Joseph</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c5076-5f15da0c416e42714ed33b0c531f46d29dbddc5e2487516de418022863c9de183</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2002</creationdate><topic>Cost benefit analysis</topic><topic>Cost effectiveness</topic><topic>Cost-Benefit Analysis - statistics & numerical data</topic><topic>cost-effectiveness analysis</topic><topic>Decision Making</topic><topic>familywise error rate</topic><topic>Health care</topic><topic>Health care expenditures</topic><topic>Health economics</topic><topic>Humans</topic><topic>Models, Statistical</topic><topic>net health benefit</topic><topic>Probability</topic><topic>Program Evaluation - economics</topic><topic>Program Evaluation - methods</topic><topic>simultaneous confidence band pointwise error rate</topic><topic>Statistical analysis</topic><topic>Treatment Outcome</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Meisner, Morris</creatorcontrib><creatorcontrib>Laska, Eugene M.</creatorcontrib><creatorcontrib>Siegel, Carole</creatorcontrib><creatorcontrib>Wanderling, Joseph</creatorcontrib><collection>Istex</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>RePEc IDEAS</collection><collection>RePEc</collection><collection>CrossRef</collection><collection>Applied Social Sciences Index & Abstracts (ASSIA)</collection><collection>MEDLINE - Academic</collection><jtitle>Health economics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Meisner, Morris</au><au>Laska, Eugene M.</au><au>Siegel, Carole</au><au>Wanderling, Joseph</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The familywise error rate of a simultaneous confidence band for the incremental net health benefit</atitle><jtitle>Health economics</jtitle><addtitle>Health Econ</addtitle><date>2002-04</date><risdate>2002</risdate><volume>11</volume><issue>3</issue><spage>275</spage><epage>280</epage><pages>275-280</pages><issn>1057-9230</issn><eissn>1099-1050</eissn><coden>HEECEZ</coden><abstract>Interest in the use of net health benefit in cost‐effectiveness analysis derives from its optimality property for decision‐making. A description of the results of an economic evaluation of health care interventions is incomplete if it does not include point and interval estimates of this outcome measure. A simultaneous confidence band for the incremental net health benefit, INHB(λ), for all λ may be obtained by forming a confidence interval based on student's t statistic, and letting the willingness‐to‐pay value, λ, run over all values. The familywise error rate (FWER) of the simultaneous confidence band is the probability that the confidence interval does not cover the true INHB(λ) for some value of λ. We show that the FWER equals P(T2>t2), where T2 follows Hotelling's central distribution and that the simultaneous confidence band does not cover the true INHB(λ) if and only if a T2 based confidence ellipsoid does not cover the true mean c–e vector. Copyright © 2002 John Wiley & Sons, Ltd.</abstract><cop>Chichester, UK</cop><pub>John Wiley & Sons, Ltd</pub><pmid>11921323</pmid><doi>10.1002/hec.656</doi><tpages>6</tpages></addata></record> |
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| source | MEDLINE; RePEc; Applied Social Sciences Index & Abstracts (ASSIA); Wiley Online Library All Journals |
| subjects | Cost benefit analysis Cost effectiveness Cost-Benefit Analysis - statistics & numerical data cost-effectiveness analysis Decision Making familywise error rate Health care Health care expenditures Health economics Humans Models, Statistical net health benefit Probability Program Evaluation - economics Program Evaluation - methods simultaneous confidence band pointwise error rate Statistical analysis Treatment Outcome |
| title | The familywise error rate of a simultaneous confidence band for the incremental net health benefit |
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