REFERRING to Prof. H. C. Plummer's letter on “An Approximation to the Probability Integral,” published in NATURE of October 25, the following alternative way of ...

Let balls be thrown successively at random into N boxes, such that each ball falls into any box with the same probability 1/N. Let Z n be the number of occupied boxes (i.e., boxes containing at least ...

The normal approximation to the binomial test with and without a continuity correction is evaluated in terms of control of Type I errors and power. The normal approximations are evaluated as robust ...