hiddenf-package: Tests for nonadditivity using the hidden F test

In hiddenf: The All-Configurations, Maximum-Interaction F-Test for Hidden Additivity

Description

Fits a linear model to a (r-by-c) matrix of responses. Includes factorial effects of two factors, with rows of the matrix as one factor with r levels and columns as c levels of another factor. Configurations formed by placing rows into two groups and creating a third grouping factor. Linear models are fit for all b=2^(r-1)-1 possible configurations. The resulting pvalue for group-by-treatment interaction is reported, after Bonferroni correction for multiplicity of configurations.

Details

Package:	hiddenf
Type:	Package
Version:	2.0
Date:	2015-10-12
License:	GPL-2

Author(s)

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

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.

Examples

data(cnv1.mtx)
cnv1.out <- HiddenF(cnv1.mtx)
anova(cnv1.out) 

Example output

The ACMIF test for the hidden additivity form of interaction
Analysis of Variance Table

Response: y
          Df  Sum Sq Mean Sq F value    Pr(>F)
group      1 0.43309 0.43309 593.193 1.686e-05
col        1 0.21916 0.21916 300.180 6.513e-05
row        4 0.07200 0.01800  24.653   0.00444
group:col  1 0.38446 0.38446 526.585 2.137e-05
Residuals  4 0.00292 0.00073                  
C.Total   11 1.11162                          
(Pvalues in ANOVA table are NOT corrected for multiplicity.) 

hiddenf documentation built on May 2, 2019, 2:47 p.m.