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RR-92-01.pdf

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/59959 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/59959 http://eprints.org/relation/isIndexCodesVersionOf https://pure.iiasa.ac.at/id/document/59959 archive 351 disk0/00/00/34/94 2016-01-15 02:01:01 2021-08-27 17:13:58 2016-01-15 02:01:01 monograph show 2 Haunsperger D.B. AL0739 Saari D.G. AL1737 pub iis_sys prog_pop Bayesian decisioin theory; Kruskal-Wallis test; Simpson's paradox Simpson's paradox exhibits seemingly deviant behavior where the data generated in independent experiments support a common decision, but the aggregated data support a different outcome. It is shown that this kind of inconsistent behavior occurs with many, if not most, statistical decision processes. Examples are given for the Kruskal-Wallis test and a Bayesian decision problem. A simple theory is given that permits one to determine whether a given decision process admits such inconsistencies, to construct examples, and to find data restrictions that avoid such outcomes. 1991 published RR-92-001. Reprinted from The American Statistician, 45(3):252-255 (1991). http://www.jstor.org/stable/2684305 RP-92-001 Reprinted from The American Statistician; 45(3):252-255 (1991) <www.jstor.org/stable/2684305> 10 1946 2827 public research_reprint The American Statistician 45 3 IIASA, Laxenburg, Austria 252-255 8 TRUE FALSE info:eu-repo/semantics/book