Closed-form fiducial confidence intervals for some functions of independent binomial parameters with comparisons
Approximate closed-form confidence intervals (CIs) for estimating the difference, relative risk, odds ratio, and linear combination of proportions are proposed. These CIs are developed using the fiducial approach and the modified normal-based approximation to the percentiles of a linear combination...
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| Veröffentlicht in: | Statistical methods in medical research 2017-02, Vol.26 (1), p.43-63 |
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| container_title | Statistical methods in medical research |
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| creator | Krishnamoorthy, K Lee, Meesook Zhang, Dan |
| description | Approximate closed-form confidence intervals (CIs) for estimating the difference, relative risk, odds ratio, and linear combination of proportions are proposed. These CIs are developed using the fiducial approach and the modified normal-based approximation to the percentiles of a linear combination of independent random variables. These confidence intervals are easy to calculate as the computation requires only the percentiles of beta distributions. The proposed confidence intervals are compared with the popular score confidence intervals with respect to coverage probabilities and expected widths. Comparison studies indicate that the proposed confidence intervals are comparable with the corresponding score confidence intervals, and better in some cases, for all the problems considered. The methods are illustrated using several examples. |
| doi_str_mv | 10.1177/0962280214537809 |
| format | Article |
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These CIs are developed using the fiducial approach and the modified normal-based approximation to the percentiles of a linear combination of independent random variables. These confidence intervals are easy to calculate as the computation requires only the percentiles of beta distributions. The proposed confidence intervals are compared with the popular score confidence intervals with respect to coverage probabilities and expected widths. Comparison studies indicate that the proposed confidence intervals are comparable with the corresponding score confidence intervals, and better in some cases, for all the problems considered. The methods are illustrated using several examples.</description><subject>Acupuncture</subject><subject>Animals</subject><subject>Approximation</subject><subject>Binomials</subject><subject>Clinical Trials as Topic</subject><subject>Closed form solutions</subject><subject>Confidence Intervals</subject><subject>Coverage</subject><subject>Diagnostic Tests, Routine</subject><subject>Diarrhea - diet therapy</subject><subject>Diet - veterinary</subject><subject>Exact solutions</subject><subject>Female</subject><subject>Fever</subject><subject>Fiducial Markers</subject><subject>Humans</subject><subject>Independent variables</subject><subject>Infant, Newborn</subject><subject>Infant, Premature</subject><subject>Likelihood Functions</subject><subject>Male</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Medical research</subject><subject>Medicine, Chinese Traditional - utilization</subject><subject>Neoplasms - veterinary</subject><subject>Odds Ratio</subject><subject>Parameter estimation</subject><subject>Parameters</subject><subject>Probability distribution functions</subject><subject>Random variables</subject><subject>Rats</subject><subject>Respiration, Artificial</subject><subject>Risk</subject><issn>0962-2802</issn><issn>1477-0334</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><sourceid>7QJ</sourceid><recordid>eNqNkcFrHCEYxaWkdDdJ7zkFIZdeplXHGfVYlqQNBHJpzoOjn43LjE50piH_fR02KSEQ6EXF93vvUx5CZ5R8pVSIb0S1jEnCKG9qIYn6gLaUC1GRuuZHaLvK1apv0HHOe0KIIFx9QhvGFVWSiS2adkPMYCsX04idt4vxesAmhnKGYAD7MEP6o4eMC4JzHAG7JZjZx5BxdEW3MEFZwox7H-K4-ied9AjFmPGjn-9L3liufC6eU_TRlTT4_LyfoLury1-7n9XN7Y_r3febytRKzlVvdWN6xyy3jsre9W3Ty4YoUIJCzZ2j3DVOsYa1oGpJWs0sdbIVzPTGMlqfoC-H3CnFhwXy3I0-GxgGHSAuuaNSKKUIF_I_UNY2qjxLFPTiDbqPSwrlI4VqWk4Z5-tscqBMijkncN2U_KjTU0dJtxbXvS2uWM6fg5d-BPvP8NJUAaoDkPVveDX1vcC_4xqhYw</recordid><startdate>201702</startdate><enddate>201702</enddate><creator>Krishnamoorthy, K</creator><creator>Lee, Meesook</creator><creator>Zhang, Dan</creator><general>SAGE Publications</general><general>Sage Publications Ltd</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>7QJ</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>K9.</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>7X8</scope></search><sort><creationdate>201702</creationdate><title>Closed-form fiducial confidence intervals for some functions of independent binomial parameters with comparisons</title><author>Krishnamoorthy, K ; Lee, Meesook ; Zhang, Dan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c398t-bda5cbf2d4df18bfb65b8509e971e34ff14f5f92526e93806a2d1f8672cbcd213</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Acupuncture</topic><topic>Animals</topic><topic>Approximation</topic><topic>Binomials</topic><topic>Clinical Trials as Topic</topic><topic>Closed form solutions</topic><topic>Confidence Intervals</topic><topic>Coverage</topic><topic>Diagnostic Tests, Routine</topic><topic>Diarrhea - diet therapy</topic><topic>Diet - veterinary</topic><topic>Exact solutions</topic><topic>Female</topic><topic>Fever</topic><topic>Fiducial Markers</topic><topic>Humans</topic><topic>Independent variables</topic><topic>Infant, Newborn</topic><topic>Infant, Premature</topic><topic>Likelihood Functions</topic><topic>Male</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Medical research</topic><topic>Medicine, Chinese Traditional - utilization</topic><topic>Neoplasms - veterinary</topic><topic>Odds Ratio</topic><topic>Parameter estimation</topic><topic>Parameters</topic><topic>Probability distribution functions</topic><topic>Random variables</topic><topic>Rats</topic><topic>Respiration, Artificial</topic><topic>Risk</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Krishnamoorthy, K</creatorcontrib><creatorcontrib>Lee, Meesook</creatorcontrib><creatorcontrib>Zhang, Dan</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Applied Social Sciences Index & Abstracts (ASSIA)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Health & Medical Complete (Alumni)</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>MEDLINE - Academic</collection><jtitle>Statistical methods in medical research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Krishnamoorthy, K</au><au>Lee, Meesook</au><au>Zhang, Dan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Closed-form fiducial confidence intervals for some functions of independent binomial parameters with comparisons</atitle><jtitle>Statistical methods in medical research</jtitle><addtitle>Stat Methods Med Res</addtitle><date>2017-02</date><risdate>2017</risdate><volume>26</volume><issue>1</issue><spage>43</spage><epage>63</epage><pages>43-63</pages><issn>0962-2802</issn><eissn>1477-0334</eissn><abstract>Approximate closed-form confidence intervals (CIs) for estimating the difference, relative risk, odds ratio, and linear combination of proportions are proposed. These CIs are developed using the fiducial approach and the modified normal-based approximation to the percentiles of a linear combination of independent random variables. These confidence intervals are easy to calculate as the computation requires only the percentiles of beta distributions. The proposed confidence intervals are compared with the popular score confidence intervals with respect to coverage probabilities and expected widths. Comparison studies indicate that the proposed confidence intervals are comparable with the corresponding score confidence intervals, and better in some cases, for all the problems considered. The methods are illustrated using several examples.</abstract><cop>London, England</cop><pub>SAGE Publications</pub><pmid>24919827</pmid><doi>10.1177/0962280214537809</doi><tpages>21</tpages></addata></record> |
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| ispartof | Statistical methods in medical research, 2017-02, Vol.26 (1), p.43-63 |
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| subjects | Acupuncture Animals Approximation Binomials Clinical Trials as Topic Closed form solutions Confidence Intervals Coverage Diagnostic Tests, Routine Diarrhea - diet therapy Diet - veterinary Exact solutions Female Fever Fiducial Markers Humans Independent variables Infant, Newborn Infant, Premature Likelihood Functions Male Mathematical analysis Mathematical models Medical research Medicine, Chinese Traditional - utilization Neoplasms - veterinary Odds Ratio Parameter estimation Parameters Probability distribution functions Random variables Rats Respiration, Artificial Risk |
| title | Closed-form fiducial confidence intervals for some functions of independent binomial parameters with comparisons |
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