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- W2034461511 abstract "The commonly used method to test for the binomial distribution is the x2-test. In this paper, we introduce an alternative method to test for the binomial distribution. Suppose N is the number of sample groups with n individuals each, xij is the jth sample in ith group, a Bernoulli variable with parameter and VVI=s2/[m(1 - m)/n]. Then it is well know that the asymptotic distribution of the statistic (N - 1) VVI is x2(N - 1) under the hypothesis p1 = p2 = … = pN. Here we find that VVI has an asymptotic normal distribution N(1, 2(1 - 1/n)/(N - 1)). Unlike the x2-statistic, the variance of the normal test statistic is a function of n. This method is convenient in detecting spatial patterns and dispersion in the study of diseased organisms (e.g., plants) in field samples." @default.
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- W2034461511 date "1997-01-01" @default.
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- W2034461511 title "Using a Normal Approximation to Test for the Binomial Distribution" @default.
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- W2034461511 doi "https://doi.org/10.1002/bimj.4710390503" @default.
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