Hidden F function for matrix data

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Description

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

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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

List-object of class ‘HiddenF’ with components

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

Author(s)

Jason A. Osborne jaosborn@ncsu.edu, Christopher T. Franck and Bongseog Choi

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.

See Also

summary.HiddenF

Examples

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library(hiddenf)
data(cjejuni.mtx)
cjejuni.out <- HiddenF(cjejuni.mtx)
summary(cjejuni.out)