Hodges Lehmann estimator for robust design using Dual Response Surface Approach
In this paper, we proposed the usage of the robust Hodges Lehmann estimator (HLE) as a location measure in the construction of optimal designs using the Dual Response Surface Approach (DRSA) where the location and scale measures were incorporated simultaneously into the model. The performance of si...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American-Eurasian Network for Scientific Information
2010
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/15023/ http://psasir.upm.edu.my/id/eprint/15023/1/Hodges%20Lehmann%20estimator%20for%20robust%20design%20using%20Dual%20Response%20Surface%20Approach.pdf |
| _version_ | 1848842561046708224 |
|---|---|
| author | Majid, Amani Haron, Kassim Midi, Habshah |
| author_facet | Majid, Amani Haron, Kassim Midi, Habshah |
| author_sort | Majid, Amani |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we proposed the usage of the robust Hodges Lehmann estimator (HLE) as a location measure in the construction of optimal designs using the Dual Response Surface Approach (DRSA) where the location and scale measures were incorporated simultaneously into the model.
The performance of six models with different pairs of location and scale estimators were compared. The results from a simulation study showed that for the non-normal and normal distribution with contaminated data, the model using HLE and inter-quartile range (IQR) performed better than the pair of the sample median and IQR as achieved by Park and Cho (2002). |
| first_indexed | 2025-11-15T08:01:05Z |
| format | Article |
| id | upm-15023 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:01:05Z |
| publishDate | 2010 |
| publisher | American-Eurasian Network for Scientific Information |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-150232018-09-24T06:54:16Z http://psasir.upm.edu.my/id/eprint/15023/ Hodges Lehmann estimator for robust design using Dual Response Surface Approach Majid, Amani Haron, Kassim Midi, Habshah In this paper, we proposed the usage of the robust Hodges Lehmann estimator (HLE) as a location measure in the construction of optimal designs using the Dual Response Surface Approach (DRSA) where the location and scale measures were incorporated simultaneously into the model. The performance of six models with different pairs of location and scale estimators were compared. The results from a simulation study showed that for the non-normal and normal distribution with contaminated data, the model using HLE and inter-quartile range (IQR) performed better than the pair of the sample median and IQR as achieved by Park and Cho (2002). American-Eurasian Network for Scientific Information 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15023/1/Hodges%20Lehmann%20estimator%20for%20robust%20design%20using%20Dual%20Response%20Surface%20Approach.pdf Majid, Amani and Haron, Kassim and Midi, Habshah (2010) Hodges Lehmann estimator for robust design using Dual Response Surface Approach. Australian Journal of Basic and Applied Sciences, 4 (8). pp. 3418-3423. ISSN 1991-8178 http://www.ajbasweb.com/old/ajbas_August_2010.html |
| spellingShingle | Majid, Amani Haron, Kassim Midi, Habshah Hodges Lehmann estimator for robust design using Dual Response Surface Approach |
| title | Hodges Lehmann estimator for robust design using Dual Response Surface Approach |
| title_full | Hodges Lehmann estimator for robust design using Dual Response Surface Approach |
| title_fullStr | Hodges Lehmann estimator for robust design using Dual Response Surface Approach |
| title_full_unstemmed | Hodges Lehmann estimator for robust design using Dual Response Surface Approach |
| title_short | Hodges Lehmann estimator for robust design using Dual Response Surface Approach |
| title_sort | hodges lehmann estimator for robust design using dual response surface approach |
| url | http://psasir.upm.edu.my/id/eprint/15023/ http://psasir.upm.edu.my/id/eprint/15023/ http://psasir.upm.edu.my/id/eprint/15023/1/Hodges%20Lehmann%20estimator%20for%20robust%20design%20using%20Dual%20Response%20Surface%20Approach.pdf |