combinIT - A Combined Interaction Test for Unreplicated Two-Way Tables
There are several non-functional-form-based interaction
tests for testing interaction in unreplicated two-way layouts.
However, no single test can detect all patterns of possible
interaction and the tests are sensitive to a particular pattern
of interaction. This package combines six
non-functional-form-based interaction tests for testing
additivity. These six tests were proposed by Boik (1993)
<doi:10.1080/02664769300000004>, Piepho (1994), Kharrati-Kopaei
and Sadooghi-Alvandi (2007) <doi:10.1080/03610920701386851>,
Franck et al. (2013) <doi:10.1016/j.csda.2013.05.002>, Malik et
al. (2016) <doi:10.1080/03610918.2013.870196> and
Kharrati-Kopaei and Miller (2016)
<doi:10.1080/00949655.2015.1057821>. The p-values of these six
tests are combined by Bonferroni, Sidak, Jacobi polynomial
expansion, and the Gaussian copula methods to provide
researchers with a testing approach which leverages many
existing methods to detect disparate forms of non-additivity.
This package is based on the following published paper:
Shenavari and Kharrati-Kopaei (2018) "A Method for Testing
Additivity in Unreplicated Two-Way Layouts Based on Combining
Multiple Interaction Tests". In addition, several sentences in
help files or descriptions were copied from that paper.