A new method to deal with missing data using Taguchi's T-method
Taguchi’s T-method is one of the Mahalanobis-Taguchi (MT) system proposed by Gen-ichi Taguchi. It is used for various forecasting purposes. The T-method is often compared to multiple regression analysis because the data type applied is the same in both methods. One advantage of the T-method over multiple regression analysis is its ability to deal with missing data. Unlike multiple regression analysis, the T-method can be analyzed without removing missing samples. In this study, we propose an improved method that further improves the accuracy of missing data while maintaining the features of the T-method. Specifically, we first improve the T-, Ta-, and Tb-methods using bootstrapping for data with missing values and then investigate a new method for dealing with missing data. Next, by calculating the prediction accuracy using simulations under various models, we examine whether there is a trend toward superiority or inferiority in multiple regression analysis, the T-, Ta-, and Tb-methods as well as in the improved methods over the T-, Ta-, and Tb-methods in the case of missing data. The results show that the improved Tb-method is more accurate than the conventional one, regardless of missing mechanisms. The improved T- and Ta-methods are more accurate in some cases.
Authors
- Riku Fujii
- Hiroki Iwamoto (ORCID: https://orcid.org/0000-0003-2267-6610)
- Yasushi Nagata (ORCID: https://orcid.org/0000-0002-4744-7075)
Institutions
- Waseda University (JP)
Publication Details
- Journal
- Total Quality Science
- Published
- 2024-12-23
- DOI
- https://doi.org/10.17929/tqs.10.44
- Primary Topic
- Optimal Experimental Design Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00