Hasse diagram and its applications on

 Renata ALCARDE [1]

Sônia Maria De Stefano PIEDADE1

Gerson Barreto MOURÃO1

§    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.

§    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