Fits linear model to ymtx, a matrix of responses of dimension r-by-c. Constructs all possible configurations of rows into two non-empty groups, then, for each configuration, fits full factorial effects models with three factors for group, group-by-column, row and row nested within column. The maximum F-ratio for group-by-column interaction is reported along with Bonferroni-adjusted p-value.
Usage
HiddenF(ymtx)
Arguments
ymtx
A matrix of responses, with rows corresponding to levels of one factor, and columns the levels of a second factor
Value
adjpvalue
(Bonferroni-adjusted) pvalue from configuration with maximal hidden additivity
config.vector
Vector of group indicators for configuration with maximal hidden additivity
tall
A list with components y, row, col
cc
Number of possible configurations
References
Franck CT, Nielsen, DM and Osborne, JA. (2013) A Method for Detecting Hidden
Additivity in two-factor Unreplicated Experiments, Computational Statistics
and Data Analysis, 67:95-104.