{"title":"方表的边际齐性检验强调匹配的数据","authors":"M.A.A. Moussa","doi":"10.1016/0010-468X(85)90017-0","DOIUrl":null,"url":null,"abstract":"<div><p>A noniterative procedure based upon the minimum modified <em>χ</em><sup>2</sup> approach is employed to test the model of homogeneity of one-dimensional margins in square tables. Such tables may arise from matched pairs with <em>k</em> outcomes. The special case of double dichotomy (i.e. matched pairs with two outcomes) reduces to the McNemar test statistic. The case of multiple matched controls is also dealt with. The Cochran's <em>Q</em> test is used to test the marginal homogeneity in cases comparing <em>m</em> distinct matched samples in addition to testing trends in proportions. Reference is made to the equivalence between these tests and the approach of hierarchical log-linear models for testing marginal homogeneity of square tables.</p></div>","PeriodicalId":75731,"journal":{"name":"Computer programs in biomedicine","volume":"19 2","pages":"Pages 239-247"},"PeriodicalIF":0.0000,"publicationDate":"1985-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0010-468X(85)90017-0","citationCount":"2","resultStr":"{\"title\":\"Testing marginal homogeneity in square tables; with emphasis on matched data\",\"authors\":\"M.A.A. Moussa\",\"doi\":\"10.1016/0010-468X(85)90017-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A noniterative procedure based upon the minimum modified <em>χ</em><sup>2</sup> approach is employed to test the model of homogeneity of one-dimensional margins in square tables. Such tables may arise from matched pairs with <em>k</em> outcomes. The special case of double dichotomy (i.e. matched pairs with two outcomes) reduces to the McNemar test statistic. The case of multiple matched controls is also dealt with. The Cochran's <em>Q</em> test is used to test the marginal homogeneity in cases comparing <em>m</em> distinct matched samples in addition to testing trends in proportions. Reference is made to the equivalence between these tests and the approach of hierarchical log-linear models for testing marginal homogeneity of square tables.</p></div>\",\"PeriodicalId\":75731,\"journal\":{\"name\":\"Computer programs in biomedicine\",\"volume\":\"19 2\",\"pages\":\"Pages 239-247\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1985-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0010-468X(85)90017-0\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computer programs in biomedicine\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0010468X85900170\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer programs in biomedicine","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0010468X85900170","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Testing marginal homogeneity in square tables; with emphasis on matched data
A noniterative procedure based upon the minimum modified χ2 approach is employed to test the model of homogeneity of one-dimensional margins in square tables. Such tables may arise from matched pairs with k outcomes. The special case of double dichotomy (i.e. matched pairs with two outcomes) reduces to the McNemar test statistic. The case of multiple matched controls is also dealt with. The Cochran's Q test is used to test the marginal homogeneity in cases comparing m distinct matched samples in addition to testing trends in proportions. Reference is made to the equivalence between these tests and the approach of hierarchical log-linear models for testing marginal homogeneity of square tables.
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