On dimensioning of samples in testing hypotheses

Ferdinand Österreicher; Heinz Stadler

On the optimal number of classes in the Pearson goodness-of-fit tests

Domingo Morales, Leandro Pardo, Igor Vajda (2005)

Kybernetika

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An asymptotic local power of Pearson chi-squared tests is considered, based on convex mixtures of the null densities with fixed alternative densities when the mixtures tend to the null densities for sample sizes $n \to \infty .$ This local power is used to compare the tests with fixed partitions $𝒫$ of the observation space of small partition sizes $| 𝒫 |$ with the tests whose partitions $𝒫 = 𝒫_{n}$ depend on $n$ and the partition sizes $| 𝒫_{n} |$ tend to infinity for $n \to \infty$ . New conditions are presented under which it is asymptotically...

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