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Description
  • Negative binomial (NB) distribution can be parameterized by the expected value and shape parameters. The shape parameter is a nuisance parameter in testing the equality of the expected values of random variables with the NB distribution in one-way ANOVA type models. Such tests are often based on the likelihood ratio or score statistic. The paper focuses on these tests under an assumption that the value of the shape parameter is known and constant for all random variables. Nevertheless, in those cases the correct value of the shape parameter is often replaced by its estimate. The paper considers the possible consequences of the above-described procedure.
  • Negative binomial (NB) distribution can be parameterized by the expected value and shape parameters. The shape parameter is a nuisance parameter in testing the equality of the expected values of random variables with the NB distribution in one-way ANOVA type models. Such tests are often based on the likelihood ratio or score statistic. The paper focuses on these tests under an assumption that the value of the shape parameter is known and constant for all random variables. Nevertheless, in those cases the correct value of the shape parameter is often replaced by its estimate. The paper considers the possible consequences of the above-described procedure. (en)
Title
  • Influence of shape parameter estimation on the properties of tests in models with negative binomial distribution
  • Influence of shape parameter estimation on the properties of tests in models with negative binomial distribution (en)
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  • Influence of shape parameter estimation on the properties of tests in models with negative binomial distribution
  • Influence of shape parameter estimation on the properties of tests in models with negative binomial distribution (en)
skos:notation
  • RIV/60162694:G42__/12:00479311!RIV13-MO0-G42_____
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  • 141563
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  • RIV/60162694:G42__/12:00479311
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  • maximum likelihood estimate; negative binomial distribution; one-way ANOVA; power; shape parameter (en)
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  • [EE2DC56CB8BE]
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  • Biometric Methods and Models in Current Science and Research
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  • Doudová, Lucie
  • Hübnerová, Zuzana
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  • ÚKZÚZ
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  • 978-80-7401-028-6
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  • G42
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