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Externally studentized normal midrange distribution Ciência e Agrotecnologia
Batista,Ben Dêivide de Oliveira; Ferreira,Daniel Furtado; Chaves,Lucas Monteiro.
ABSTRACT The distribution of externally studentized midrange was created based on the original studentization procedures of Student and was inspired in the distribution of the externally studentized range. The large use of the externally studentized range in multiple comparisons was also a motivation for developing this new distribution. This work aimed to derive analytic equations to distribution of the externally studentized midrange, obtaining the cumulative distribution, probability density and quantile functions and generating random values. This is a new distribution that the authors could not find any report in the literature. A second objective was to build an R package for obtaining numerically the probability density, cumulative distribution and...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Distribution function; Density function; Gauss-Legendre quadrature; Newton-Raphson method; R..
Ano: 2017 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1413-70542017000400378
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Alternative to Tukey test Ciência e Agrotecnologia
Batista,Ben Dêivide de Oliveira; Ferreira,Daniel Furtado.
ABSTRACT In order to search for an ideal test for multiple comparison procedures, this study aimed to develop two tests, similar to the Tukey and SNK tests, based on the distribution of the externally studentized amplitude. The test names are Tukey Midrange (TM) and SNK Midrange (SNKM). The tests were evaluated based on the experimentwise error rate and power, using Monte Carlo simulation. The results showed that the TM test could be an alternative to the Tukey test, since it presented superior performances in some simulated scenarios. On the other hand, the SNKM test performed less than the SNK test.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Type I error rate; Simulation; Range; Midrange; MidrangeMCP package..
Ano: 2020 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1413-70542020000100240
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