Abstract
SummaryLet FN(.) be the density function of X2N. Values of C1/N, i= 1, 2, satisfying the twin conditions Pr (C1≤X2N≤C2)=1‐α and the conditional expectation of X2N given C1≤X2N≤C2 is N are tabulated for α=.2, .1, .05, .01, .005, .001, N=1(1)20(2)50(5)150(10)350. The second condition may be replaced by the condition fN+2(C1)=fN+2V(C2). The author has with him a bigger table giving C1 and C2 for α=.2, .1, .05, .01, .005, .001, N=1(1)350 to three decimals (to three significant digits, if some decimals are not significant). Several applications are mentioned. A practical application that is perhaps not obvious is to test whether two or more counts are distributed as independent Poisson variables. The new simple formulae used in the construction of the table are given and should prove useful in obtaining accurate values for omitted entries and in increasing the accuracy of entries.
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