Improved likelihood ratio test for multinomial goodness of fit

作者: Balakrishna Hosmane

DOI: 10.1080/03610928708829566

关键词: StatisticsMultinomial distributionGoodness of fitMathematicsDelta methodMonte Carlo methodVariance (accounting)Likelihood-ratio testMultinomial testBasis (linear algebra)

摘要: For testing goodness-of-fit in a k cell multinomial distribution having very small frequencies, the usual chi-square approximation to upper tail of likelihood ratio statistic, G2 is not satisfactory. A new adjustment determined on basis analytical investigation terms asymptotic bias and variance adjusted Monte Carlo simulation performed for several one-way tables assess order obtain closer nomial level significance.

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