Exact Conditional Tests of Quasi-Independence for Triangular Contingency Tables: Estimating Attained Significance Levels
Some investigations of whether disease is related to birth order result in a triangual table of counts of diseased individuals classified by birth and sibshpi size. Here testing for an interaction corresponds to tesing for quasi-independence of the classification factions. We propose a Monte Carlo a...
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| Veröffentlicht in: | Applied Statistics 1995-01, Vol.44 (2), p.143-151 |
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| container_title | Applied Statistics |
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| creator | McDonald, J. W. Smith, P. W. F. |
| description | Some investigations of whether disease is related to birth order result in a triangual table of counts of diseased individuals classified by birth and sibshpi size. Here testing for an interaction corresponds to tesing for quasi-independence of the classification factions. We propose a Monte Carlo algorithm for estimating the significance level of this test, which should be used when the asymptotic results are suspect. We describe the procedure by using a classic triangular table classifying stroke patients. Unlike other researchers, we conculdue that there is moderate evidence for rejecting quasi-independece here. Our main application concerns the relationship between neurosis and birth order. Here there is strong evidence for rejecting quasi-independence in favour of the uniform assoction model. |
| doi_str_mv | 10.2307/2986340 |
| format | Article |
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Here there is strong evidence for rejecting quasi-independence in favour of the uniform assoction model.</description><identifier>ISSN: 0035-9254</identifier><identifier>EISSN: 1467-9876</identifier><identifier>DOI: 10.2307/2986340</identifier><identifier>CODEN: APSTAG</identifier><language>eng</language><publisher>Oxford: Blackwell Publishers</publisher><subject>Birth order ; Confidence interval ; Degrees of freedom ; Estimated p‐values ; Exact sciences and technology ; Inference ; Linear‐by‐linear association ; Mathematics ; Monte Carlo exact test ; Multivariate analysis ; Neuroses ; Null hypothesis ; P values ; Probabilities ; Probability and statistics ; Quasi‐independence ; Sciences and techniques of general use ; Significance level ; Statistics ; Structural zeros ; Triangular incomplete contingency tables</subject><ispartof>Applied Statistics, 1995-01, Vol.44 (2), p.143-151</ispartof><rights>Copyright 1995 The Royal Statistical Society</rights><rights>1995 Royal Statistical Society</rights><rights>1995 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2800-3ba16617b8d4f2b6b34cfe5f7c5ea0f1e7c01e1d6a2d42758aa441954c5887743</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/2986340$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/2986340$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,777,781,800,829,4010,27850,27904,27905,27906,57998,58002,58231,58235</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=3505391$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>McDonald, J. 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Here there is strong evidence for rejecting quasi-independence in favour of the uniform assoction model.</description><subject>Birth order</subject><subject>Confidence interval</subject><subject>Degrees of freedom</subject><subject>Estimated p‐values</subject><subject>Exact sciences and technology</subject><subject>Inference</subject><subject>Linear‐by‐linear association</subject><subject>Mathematics</subject><subject>Monte Carlo exact test</subject><subject>Multivariate analysis</subject><subject>Neuroses</subject><subject>Null hypothesis</subject><subject>P values</subject><subject>Probabilities</subject><subject>Probability and statistics</subject><subject>Quasi‐independence</subject><subject>Sciences and techniques of general use</subject><subject>Significance level</subject><subject>Statistics</subject><subject>Structural zeros</subject><subject>Triangular incomplete contingency tables</subject><issn>0035-9254</issn><issn>1467-9876</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1995</creationdate><recordtype>article</recordtype><sourceid>K30</sourceid><recordid>eNp1kE1rGzEQhkVoIG5S-hcELfS06eh7t7dgnMZgCImd8zKrlYzMdteV1kn87ytjE3qxDiOQnnmGdwj5yuCWCzA_eVVqIeGCTJjUpqhKoz-RCYBQRcWVvCKfU9pAPgzkhLzP3tGOdDr0bRjD0GNHVy6NiQ6ePu0whWLet27rcumto36IdBUD9utdh_HQNoZ-nb_2dIVN59IvOktj-IOHZ3o3jhh619JlWPfBB4sHx8K9ui7dkEuPXXJfTvc1ebmfraYPxeLx93x6tygsLwEK0SDTmpmmbKXnjW6EtN4pb6xyCJ45Y4E51mrkreRGlYhSskpJq8rSGCmuybejdxuHv7scrd4Mu5hzpprxqjIAUuhM_ThSNg4pRefrbcwp4r5mUB_WWp_WmsnvJx8mi52POVNIH7hQoETFMnZ7xN5C5_bnbPXzcjkFruE_7yaNQzw7_h8BVo_h</recordid><startdate>19950101</startdate><enddate>19950101</enddate><creator>McDonald, J. 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F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2800-3ba16617b8d4f2b6b34cfe5f7c5ea0f1e7c01e1d6a2d42758aa441954c5887743</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1995</creationdate><topic>Birth order</topic><topic>Confidence interval</topic><topic>Degrees of freedom</topic><topic>Estimated p‐values</topic><topic>Exact sciences and technology</topic><topic>Inference</topic><topic>Linear‐by‐linear association</topic><topic>Mathematics</topic><topic>Monte Carlo exact test</topic><topic>Multivariate analysis</topic><topic>Neuroses</topic><topic>Null hypothesis</topic><topic>P values</topic><topic>Probabilities</topic><topic>Probability and statistics</topic><topic>Quasi‐independence</topic><topic>Sciences and techniques of general use</topic><topic>Significance level</topic><topic>Statistics</topic><topic>Structural zeros</topic><topic>Triangular incomplete contingency tables</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>McDonald, J. 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W.</au><au>Smith, P. W. F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exact Conditional Tests of Quasi-Independence for Triangular Contingency Tables: Estimating Attained Significance Levels</atitle><jtitle>Applied Statistics</jtitle><date>1995-01-01</date><risdate>1995</risdate><volume>44</volume><issue>2</issue><spage>143</spage><epage>151</epage><pages>143-151</pages><issn>0035-9254</issn><eissn>1467-9876</eissn><coden>APSTAG</coden><abstract>Some investigations of whether disease is related to birth order result in a triangual table of counts of diseased individuals classified by birth and sibshpi size. Here testing for an interaction corresponds to tesing for quasi-independence of the classification factions. We propose a Monte Carlo algorithm for estimating the significance level of this test, which should be used when the asymptotic results are suspect. We describe the procedure by using a classic triangular table classifying stroke patients. Unlike other researchers, we conculdue that there is moderate evidence for rejecting quasi-independece here. Our main application concerns the relationship between neurosis and birth order. Here there is strong evidence for rejecting quasi-independence in favour of the uniform assoction model.</abstract><cop>Oxford</cop><pub>Blackwell Publishers</pub><doi>10.2307/2986340</doi><tpages>9</tpages></addata></record> |
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| ispartof | Applied Statistics, 1995-01, Vol.44 (2), p.143-151 |
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| source | Business Source Complete; Periodicals Index Online; JSTOR Mathematics & Statistics; Jstor Complete Legacy |
| subjects | Birth order Confidence interval Degrees of freedom Estimated p‐values Exact sciences and technology Inference Linear‐by‐linear association Mathematics Monte Carlo exact test Multivariate analysis Neuroses Null hypothesis P values Probabilities Probability and statistics Quasi‐independence Sciences and techniques of general use Significance level Statistics Structural zeros Triangular incomplete contingency tables |
| title | Exact Conditional Tests of Quasi-Independence for Triangular Contingency Tables: Estimating Attained Significance Levels |
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