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This framework is illustrated by an examination of the r\u00f4le of conditional independence in several diverse areas of the field of statistics. Topics covered include sufficiency and ancillarity, parameter identification, causal inference, prediction sufficiency, data selection mechanisms, invariant statistical models and a subjectivist approach to model-building.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1979.tb01052.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T01:32:34Z","timestamp":1544146354000},"page":"1-15","source":"Crossref","is-referenced-by-count":938,"title":["Conditional Independence in Statistical Theory"],"prefix":"10.1093","volume":"41","author":[{"given":"A. 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