additivityPvalues {hiddenf}

Non-additivity pvalues

Description

Reports p-values tests for non-additivity developed by Tukey (1949), Mandel (1961), Kharrati-Kopaei and Sadooghi-Alvandi (2007), Franck, Nielsen and Osborne (2014) and Malik, Mohring and Piepho (2015).

Usage

additivityPvalues(ymtx.out)

Arguments

ymtx.out

An object of class HiddenF created by the HiddenF function.

Value

A list with five component p-values.

Author(s)

Jason A. Osborne [e-mail], Christopher T. Franck and Bongseog Choi

References

Tukey, JW (1949). One Degree of Freedom for Non-Additivity. Biometrics, 5:232-242.

Mandel J. (1961) Non-Additivity in Two-Way Analysis of Variance, Journal of the American Statistical Association, 56:878-888

Kharrati-Kopaei, M. and Sadooghi-Alvandi, SM. (2007). A New Method for Testing Interaction in Unreplicated Two-Way Analysis of Variance, Communications in Statistics - Theory and Methods, 36:2787-2803

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.

Malik, WA, Mohring, J and Piepho, H. (2015) A clustering-based test for non-additivity in an unreplicated two-way layout, Communications in Statistics-Simulation and Computation.

Examples

library(hiddenf)
data(cjejuni.mtx)
cjejuni.out <- HiddenF(cjejuni.mtx)
pvalues <- additivityPvalues(cjejuni.out)
print(pvalues)