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Article #784Re: looking for article on loaded dice
From: William H. Jefferys
Date: Sun, 20 Dec 1992 23:30
Date: Sun, 20 Dec 1992 23:30
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In article <168BFB8E5.R0264@vmcms.csuohio.edu> R0264@vmcms.csuohio.edu writes: #See Letter to Editor re Kemp & Kemp, The American Statistician, August #1992, Vol. 46, No 3, pp. 239-240. Says spots on most dice are #countersunk, which throws the center of gravity off. Also, since #6 is opposite to 1, 5 to 2, etc., there is a predictable bias. See also P.F. Fougere, "Maximum entropy calculations on a discrete probability space," in G.J. Erickson and C.R. Smith, Eds., _Maximum-Entropy and Bayesian Methods in Science and Engineering_, Vol. 1, 205-234 (1988). Dordrecht: Kluwer Academic Publishers. P.F. Fougere, "Maximum entropy calculations on a discrete probability space: Predictions confirmed" in J. Skilling, Ed., _Maximum-Entropy and Bayesian Methods_, 303-308 (1989). Dordrecht: Kluwer Academic Publishers. This discusses an analysis of a long series of throws with a (handmade in 19th century) set of dice by the Swiss astronomer Wolf (of Wolf Sunspot Number fame). The tallies were recorded and analyzed, an hypotheses about the shape and irregularities of the dice suggested (in the first paper). Later the actual dice were located and some of the predictions confirmed. I don't know how good modern dice are, but the dice Wolf used did show the spot effect, as well as two others. Bill
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Path: arc1-ca.pugleaf.net!sparky!uunet!europa.asd.contel.com!howland.reston.ans.net!usc!zaphod.mps.ohio-state.edu!sdd.hp.com!spool.mu.edu!yale.edu!qt.cs.utexas.edu!cs.utexas.edu!ut-emx!bessel.as.utexas.edu!bill From: bill@bessel.as.utexas.edu (William H. Jefferys) Newsgroups: sci.math.stat Subject: Re: looking for article on loaded dice Message-ID: <85634@ut-emx.uucp> Date: 20 Dec 92 23:30:28 GMT References: <1992Dec15.233405.2306@muddcs.claremont.edu> <168BFB8E5.R0264@vmcms.csuohio.edu> Sender: news@ut-emx.uucp Organization: McDonald Observatory, University of Texas @ Austin Lines: 33