PBIBD: Partially Balanced Incomplete Block Designs
The PBIB designs are important type of incomplete block designs
having wide area of their applications for example in agricultural
experiments, in plant breeding, in sample surveys etc. This package
constructs various series of PBIB designs and assists in checking all the
necessary conditions of PBIB designs and the association scheme on which
these designs are based on. It also assists in calculating the efficiencies
of PBIB designs with any number of associate classes. The package also
constructs Youden-m square designs which are Row-Column designs for the
two-way elimination of heterogeneity. The incomplete columns of these
Youden-m square designs constitute PBIB designs. With the present
functionality, the package will be of immense importance for the researchers
as it will help them to construct PBIB designs, to check if their PBIB
designs and association scheme satisfy various necessary conditions for the
existence, to calculate the efficiencies of PBIB designs based on any
association scheme and to construct Youden-m square designs for the two-way
elimination of heterogeneity. R. C. Bose and K. R. Nair (1939)
<http://www.jstor.org/stable/40383923>.
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