MFRCD: Optimal Row-Column Designs for Asymmetrical Factorial
Experiments
Constructs and analyzes optimal row-column designs for
mixed-level factorial experiments under square and rectangular field
layouts. For square field layouts, the package implements direct
common-factor constructions by first forming two component treatment
arrays, one for each factor or super-factor, and then combining them
through a symbolic cell-wise product following Gopinath, Parsad and
Mandal (2018) <doi:10.1080/03610926.2017.1376091>. For rectangular
field layouts, the package constructs designs by extracting a balanced
principal block from a mixed-level block design, treating it as the
principal column, taking the complete treatment set as the principal row,
and generating the full row-column design by cyclic modular development.
The package also includes repair utilities for improving disconnected or
partially connected row-column designs through bounded treatment-swap
searches while preserving the row-column layout structure. The package
provides diagnostic tools for connectedness, orthogonal factorial
structure, balance, estimability, and selected optimality criteria for
row-column designs.
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