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L2-tests for sparse multinomials

✍ Scribed by Hannelore Liero

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
135 KB
Volume
55
Category
Article
ISSN
0167-7152

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✦ Synopsis

We consider the problem of testing cell probabilities in sparse multinomial data sets. The ΓΏrst test statistic is the sum of squares of di erences between the hypothetical cell probabilities and the relative cell frequencies. For the second test we use the di erences between smoothed hypothetical cell probabilities and smoothed cell frequencies. A comparison of both tests with respect to the behavior of their power under local alternatives shows that for sparse data the test based on the smoothed estimators is better.

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## Suvmary This paper is concerned with the power behaviour of four goodness-of-fit test statistics in sparse multinomials with k cells. Most previous work has been concerned only with both Pearson's Xz and the likelihood ratio test statistics. We consider in this study, two additional test statis