Florida web design - 3.3.1 GENERAL TEST PROCEDURES 53 examples of the
3.3.1 GENERAL TEST PROCEDURES 53 examples of the previous misuse of statistics; and he also proved that certain runs at roulette (which he had experienced during two weeks at Monte Carlo in 1892) were so far from the expected frequencies that odds against the assumption of an honest wheel were some 1O2g to one! A general discussion of the chi-square test and an extensive bibliography appear in the survey article by William G. Cochran, Annals Math. Stat. 23 (1952), 315-345. Let us now consider a brief derivation of the theory behind the chi-square test. The exact probability that Y1 = yl,. . . , Yk = yk is easily seen to be n! PY .pp. Yl!…Yk! l . . If we assume that Y, has the value ys with the Poisson probability e -nps(np,)y* Ys! , and that the Y s are independent, then (Y1,. . . , Yk) will equal (yl,. . . , yk) with probability –nps(np,)Ys II y,! l