MTA: Function to generate a unit space for the Mahalanobis-Taguchi...
In okayaa/MTSYS: Methods in Mahalanobis-Taguchi (MT) System

Description Usage Arguments Value References See Also Examples

MTA generates a unit space for the Mahalanobis-Taguchi Adjoint (MTA) method. In general_MT, cofactor matrix is used for A and the data are normalized based on unit_space_data.

1	MTA(unit_space_data, includes_transformed_data = FALSE)

`unit_space_data`	Matrix with n rows (samples) and p columns (variables). Data to generate the unit space. All data should be continuous values and should not have missing values.
`includes_transformed_data`	If `TRUE`, then the transformed data are included in a return object.

MTA returns an object of S3 class "MTA". An object of class "MTA" is a list containing the following components:

`A`	p x p (q x q) matrix. Cofactor matrix of `unit_space_data` (the transformed data).
`calc_A`	`calc_cofactor`.
`transforms_data`	Function to be generated from the `generates_normalization_function` based on the `unit_space_data`.
`distance`	Vector with length n. Distances from the unit space to each sample.
`n`	The number of samples.
`q`	The number of variables after the data transformation. q equals p.
`x`	If `includes_transformed_data` is `TRUE`, then the transformed data are included.

Taguchi, G. & Kanetaka, T. (2002). Engineering Technical Development in MT System - Lecture on Applied Quality. Japanese Standards Association. (In Japanese)

Taguchi, G., & Jugulum, R. (2002). The Mahalanobis-Taguchi strategy: A pattern technology system. John Wiley & Sons.

calc_cofactor, general_MT, generates_normalization_function, and diagnosis.MT

# 40 data for versicolor in the iris dataset
iris_versicolor <- iris[61:100, -5]

unit_space_MTA <- MTA(unit_space_data = iris_versicolor,
                      includes_transformed_data = TRUE)

(unit_space_MTA$distance)