Hasse
diagram and its applications on

experimentation

Renata ALCARDE [1]

Sônia Maria De Stefano PIEDADE^{1}

Gerson Barreto MOURÃO^{1}

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Resumo: The increase of statistics applications on the most diverse research
areas has defined complex statistics designs turn its planning and analysis
really hard. The Hasse diagram is a graphic tool that has as objective turn the
comprehension of the present structure among the experimental factors easiest. More
than a better experiment overview, by the rules proposed on the literature,
this diagram gives the degrees of freedom for each factor. By the condition of
design orthogonality, the nucleus matrix of quadratic form for the sum of
squares and the expected values for the mean squares can also be obtained,
given the proper ratio for F test application.
And, to give an example about the rules and the application of this
tool, experimental data of Marandu grazing was used, with a detailed experiment
structure, showing the orthogonality within the factors and with an indication
of the analysis of variance model.

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PALAVRAS-CHAVE:
Graphic tool; vectorial subspaces; orthogonality.

[1] Departamento
de Ciências Exatas, Universidade de São Paulo, Campus de Piracicaba -
ESALQ/USP, CEP 13.418-900, Piracicaba, São Paulo, Brasil. E-mail: *alcarde83@yahoo.com.br*
/ *soniamsp@esalq.usp.br* / *gbmourao@esalq.usp.br*