OPTIMASI RESPON PADA PERCOBAAN FAKTORIAL DENGAN MENGGUNAKAN METODE PERMUKAAN RESPON

Authors

  • Falin Tristanti Ayu
  • Izzati Rahmi HG
  • Yudiantri Asdi

DOI:

https://doi.org/10.25077/jmu.4.2.51-57.2015

Abstract

Metode Permukaan Respon atau Response Surface Methodology adalah gabungan dari teknik matematika dan statistika yang digunakan dalam pemodelan dan analisis dimana respon yang diamati dipengaruhi oleh sejumlah variabel. Metode permukaan respon digunakan untuk mencari taraf-taraf peubah bebas yang dapat mengoptimalkan respon. Dengan metode ini dapat diketahui model empirik yang menyatakan hubungan antara variabel-variabel independen dengan variabel respon, serta dapat diketahui nilai variabel-variabel independen yang menyebabkan nilai variabel respon menjadi optimal. Eksperimen dengan metode permukaan respon dilakukan dalam dua tahap yaitu eksperimen tahap I dan eksperimen tahap II. Desain eksperimen yang digunakan pada eksperimen tahap I adalah desain faktorial dua level sedangkan desain eksperimen yang digunakan pada eksperimen tahap II adalah Central Composite Design (CCD). Tahapan dalam metode permukaan respon pada intinya yaitu mencari fungsi aproksimasi yang menyatakan hubungan antara variabel independen dengan variabel respon, mengestimasi parameter-parameter dari fungsi aproksimasi yang diperoleh dengan metode kuadrat terkecil dan selanjutnya dilakukan analisis pengepasan permukaan. Karakteristik permukaan respon digunakan untuk menentukan apakah jenis titik stasionernya maksimum, minimum atau titik pelana. Prosedur pengujian yang dilakukan dalam metode permukaan respon diantaranya uji kesesuaian model regresi (lack of fit), uji parameter regresi secara serentak dan pengujian asumsi residual.

Kata Kunci: Desain eksperimen, Metode Permukaan Respon (Response Surface Methodology), Two Level Factorial Design, Central Composite Design (CCD)

Downloads

Published

26-07-2019

Issue

Vol. 4 No. 2 (2015)

Section

Articles

License

All articles published in Jurnal Matematika UNAND (JMUA) are open access and licensed under the Creative Commons Attribution-ShareAlike (CC BY-SA) license. This ensures that the content is freely available to all users and can be shared and adapted, provided appropriate credit is given and any adaptations are distributed under the same license.

Copyright Holder

The copyright of all articles published in Jurnal Matematika UNAND is held by the Departemen Matematika dan Sains Data, Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA), Universitas Andalas (UNAND). This applies to all published versions, including the HTML and PDF formats of the articles.

Author Rights

While the Departemen Matematika dan Sains Data FMIPA UNAND holds the copyright for all published content, authors retain important rights under the Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA). This license grants authors and users the following rights:

  • Reuse: Authors can reuse and distribute their work for any lawful purpose, including sharing on personal websites, institutional repositories, or in subsequent publications.
  • Attribution and Adaptation: Authors and others may remix, adapt, and build upon the published work for any purpose, even commercially, as long as proper credit is given to the original authors, and any derivative works are distributed under the same CC BY-SA license.

Creative Commons License (CC BY-SA)

Under the terms of the CC BY-SA license, users are free to:

  • Share: Copy and redistribute the material in any medium or format.
  • Adapt: Remix, transform, and build upon the material for any purpose, even commercially.

However, the following conditions apply:

  • Attribution: Users must give appropriate credit to the original author(s) and Departemen Matematika dan Sains Data FMIPA UNAND, provide a link to the license, and indicate if changes were made. Attribution must not imply endorsement by the author or the journal.
  • ShareAlike: If users remix, transform, or build upon the material, they must distribute their contributions under the same license as the original.

For more information about the CC BY-SA license, please visit the Creative Commons website.

Third-Party Content

If authors include third-party material (such as figures, tables, or images) that is not covered by a Creative Commons license, they must obtain the necessary permissions for reuse and provide proper attribution. Authors are required to ensure that any third-party content complies with open-access licensing requirements or includes permissions for redistribution under similar terms.

Copyright and Licensing Information Display

The copyright and licensing terms will be clearly displayed on each article's landing page, as well as within the full-text versions (HTML and PDF) of all published articles.

No "All Rights Reserved"

As an open-access journal, JMUA does not use "All Rights Reserved" policies. Instead, the CC BY-SA license ensures that the works remain accessible and reusable for a wide audience while still protecting both the authors' and the copyright holder's rights.

Â