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

Description

`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`.

Usage

 `1` ```MTA(unit_space_data, includes_transformed_data = FALSE) ```

Arguments

 `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.

Value

`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.

References

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`
 ```1 2 3 4 5 6 7``` ```# 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) ```