ScottKnott: A Package for Performing the Scott-Knott Clustering Algorithm in R

Enio Jelihovschi, José Cláudio Faria, Ivan Bezerra Allaman

Abstract


Scott-Knott is an hierarchical clustering algorithm used in the ANOVA context, when the researcher is comparing treatment means, with a very important characteristic: it does not present any overlapping in its grouping results. We wrote a code, in R, that performs this algorithm starting from vectors, data.frame, aov or aov.list objects. The results are presented with letters representing groups as well as in graphical way using different colors to differentiate among the distinct groups.


Full Text:

PDF

References


bibitem{type}

C.S. Bernhardson. Type I error rates when multiple comparison procedure

follow a significant F test of ANOVA.

textit{Biometrics}, textbf{31} (1975), 337-340.

bibitem{graph}

T.J. Boardman and D.R. Moffit. Graphical Monte Carlo Type I error rates for

multiple comparison procedures.

textit{Biometrics}, textbf{27} (1971), 738-744.

bibitem{rel}

S. Bony, N. Pichon, C. Ravel, A. Durix, F. Balfourier and J.J. Guillaumin.

The Relationship between Mycotoxin Synthesis and Isolate Morphology in Fungal

Endophytes of Lolium perenne.

textit{New Phytologist}, textbf{152} (2001), 125-137.

bibitem{poder}

L.C. Borges, D.F. Ferreira. Power and type I errors rate of Scott-Knott,

Tukey and Newman-Keuls tests under normal and no-normal distributions of the

residues.

textit{Revista de Matem'atica e Estat'istica}, textbf{21} (2003), 67-83.

bibitem{cluster}

T. Calinski and L.C.A, Corsten. Clustering Means in ANOVA by Simultaneous

Testing.

textit{Biometrics}, textbf{41} (1985), 39-48.

bibitem{detect}

S.G. Carmer and M.R. Swanson. Detection of differences between means:

a Monte Carlo study of five pairwise multiple comparison procedures.

textit{Agronomy Journal}, textbf{63} (1971), 940-945.

bibitem{evalu}

S.G. Carmer and M.R. Swanson. An evaluation of ten pairwise multiple

comparison procedures by Monte Carlo methods.

textit{Journal American Statistical Association}, textbf{68} (1973), 66-74.

bibitem{cox}

D.R. Cox and E. Spjotvoll. On partitioning means into groups.

textit{Scandinavian Journal of Statistics}, textbf{9} (1982), 147-152.

bibitem{aval}

E.C. Da Silva, D.F. Ferreira and E. Bearzoti. Evaluation of power and type I

error rates of Scott-Knott's test by the method of Monte Carlo.

textit{Ci^encias Agrot'ecnicas.}, textbf{23} (1999), 687-696.

bibitem{half}

A.B. Dilson, S.D. David, J. Kazimierz and W.K. William. Half-sib progeny

evaluation and selection of potatoes resistant to the US8 genotype of

Phytophthora infestans from crosses between resistant and susceptible parents.

textit{Euphytica}, textbf{125} (2002), 129-138.

bibitem{illus}

C.E. Gates and J.D. Bilbro. Illustration of a Cluster Analysis Method

for Mean Separation.

textit{Agron J}, textbf{70} (1978), 462-465.

bibitem{jol}

I.T. Jollife. ``Cluster analysis as multiple comparison method'',

Applied Statistics, North Holland, 1975.

bibitem{symb}

S. Jyotsna, L.W. Zettler, J.W. van Sambeek, Ellersieck, C.J. Starbuck.

Symbiotic Seed Germination and Mycorrhizae of Federally Threatened Platanthera

Praeclara(Orchidaceae).

textit{American Midland Naturalist}, textbf{149} (2003), 104-120.

bibitem{onei}

R. O'Neill and G.B. Wetherill. The present state of multiple comparison

methods (with discution).

textit{Journal of the Royal Statistical Society Series B}, textbf{33} (1971), 218-250.

bibitem{exp}

M.A.P. Ramalho, D.F. Ferreira and Oliveira AC.

``Experimentac c~ao em Gen'etica e Melhoramento de Plantas'',

Editora UFLA, Lavras, 2000.

bibitem{r}

R Development Core Team. textit{R: A Language and Environment for

Statistical Computing.} R Foundation for Statistical Computing, Vienna,

Austria, 2010. ISBN 3-900051-07-0, URL:http://www.R-project.org/.

bibitem{sk}

A.J. Scott and M. Knott. A cluster analysis method for grouping means in the

analysis of variance.

textit{Biometrics}, textbf{30} (1974), 507-512.

bibitem{prin}

R.G.D. Steel and J.H. Torrie.

``Principles and procedures of statistics'', McGraw-Hill, New York, 1980.




DOI: https://doi.org/10.5540/tema.2014.015.01.0003

Article Metrics

Metrics Loading ...

Metrics powered by PLOS ALM

Refbacks

  • There are currently no refbacks.



Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

Indexed in:

                       

 

Desenvolvido por:

Logomarca da Lepidus Tecnologia