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Description
  • In this paper we discuss testing for an interaction in the two-way ANOVA with just one observation per cell. The known results are reviewed and a simulation study is performed to evaluate type I and type II risks of the tests. It is shown that the Tukey and Mandel additivity tests have very low power in case of more general interaction scheme. A modification of Tukey’s test is developed to resolve this issue. All tests mentioned in the paper have been implemented in R package AdditivityTests.
  • In this paper we discuss testing for an interaction in the two-way ANOVA with just one observation per cell. The known results are reviewed and a simulation study is performed to evaluate type I and type II risks of the tests. It is shown that the Tukey and Mandel additivity tests have very low power in case of more general interaction scheme. A modification of Tukey’s test is developed to resolve this issue. All tests mentioned in the paper have been implemented in R package AdditivityTests. (en)
Title
  • Modification of Tukey’s additivity test
  • Modification of Tukey’s additivity test (en)
skos:prefLabel
  • Modification of Tukey’s additivity test
  • Modification of Tukey’s additivity test (en)
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  • RIV/00027014:_____/13:#0001890!RIV14-MZE-00027014
http://linked.open...avai/riv/aktivita
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  • P(QH81312), Z(MZE0002701404)
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  • 1
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  • 89167
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  • RIV/00027014:_____/13:#0001890
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  • Two-way ANOVA, Additivity tests, Tukey additivity test (en)
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  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [5C640B82ED56]
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  • Journal of Statistical Planning and Inference
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  • 143
http://linked.open...iv/tvurceVysledku
  • Šimečková, Marie
  • Šimeček, Petr
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  • 000309845700016
http://linked.open...n/vavai/riv/zamer
issn
  • 0378-3758
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.jspi.2012.07.002
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