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Assuming that the underlying distributions are normal or multinomial, this paper provides a theory of establishing test statistics for testing hypotheses of homogeneity within subsets of populations and of homogeneity between subsets of populations. The desired test statistics are derived by a decomposition of the test statistic for the hypothesis of overall homogeneity into a sum of mutually statistically independent components.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1985.tb01332.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T06:16:17Z","timestamp":1544163377000},"page":"76-83","source":"Crossref","is-referenced-by-count":2,"title":["On the Analysis of Heterogeneity Among Populations"],"prefix":"10.1093","volume":"47","author":[{"given":"Zvi","family":"Gilula","sequence":"first","affiliation":[{"name":"The Hebrew University \u00a0 Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2018,12,5]]},"reference":[{"key":"2024090921095412000_rssb01332-cit-0001","doi-asserted-by":"crossref","first-page":"456","DOI":"10.2307\/2528488","article-title":"A procedure for testing homogeneity of all sets of means in analysis of variance","volume":"20","author":"Gabriel","year":"1964","journal-title":"Biometrics"},{"key":"2024090921095412000_rssb01332-cit-0002","doi-asserted-by":"crossref","first-page":"1081","DOI":"10.1080\/01621459.1966.10482197","article-title":"Simultaneous test procedures for multiple comparisons on categorical data","volume":"61","author":"Gabriel","year":"1966","journal-title":"J. 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