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- W2032434505 abstract "Given a set of $k$ random samples, $x_1, x_2, cdots, x_k$, from a binomial distribution with parameters $p$ and $n$, it is shown that the familiar binomial index of dispersion $z = frac{sum^k_1 (x_i - bar x)^2}{bar xbig(1 - frac{bar x}{n_0}big)}$ yields an approximate best critical region independent of $p$ for testing the hypothesis $n = n_0$ against the alternative hypothesis $n > n_0$, provided $bar x$ and $n_0 - bar x$ are not small. Because of the nature of the test, its optimum properties also apply to testing whether the data came from a binomial population with $n = n_0$ or from a Poisson population." @default.
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- W2032434505 date "1947-12-01" @default.
- W2032434505 modified "2023-09-25" @default.
- W2032434505 title "Discriminating Between Binomial Distributions" @default.
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- W2032434505 doi "https://doi.org/10.1214/aoms/1177730346" @default.
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