Optimum Simplex Lattice Designs of Low Order Multiresponse Surface Model by D-Optimum Criterion

Simplex lattice design is a part of mixture designs has patterns simplex {q, m} where q is number of factors andm is degree of polynomial. If entangling a number of the response variables which measured from a number offactors called the multiresponse surface model, hence to obtain get the matrix de...

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Main Authors: Ruslan Ruslan, Susanti Linuwih, Purhadi Purhadi, Sony S
Format: Article
Language:English
Published: Fakultas MIPA Universitas Jember 2010-07-01
Series:Jurnal Ilmu Dasar
Subjects:
Online Access:https://jurnal.unej.ac.id/index.php/JID/article/view/94
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author Ruslan Ruslan
Susanti Linuwih
Purhadi Purhadi
Sony S
author_facet Ruslan Ruslan
Susanti Linuwih
Purhadi Purhadi
Sony S
author_sort Ruslan Ruslan
collection DOAJ
description Simplex lattice design is a part of mixture designs has patterns simplex {q, m} where q is number of factors andm is degree of polynomial. If entangling a number of the response variables which measured from a number offactors called the multiresponse surface model, hence to obtain get the matrix designs of optimum mixture atmultiresponse surface model will be used by the optimum-D criterion. In this research, we studied abouttheoretical approach to get optimum simplex lattice design of low order multiresponse surface model byoptimum-D criterion. We assumed that design points have similar weighted values.
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spelling doaj.art-e2f47a4b034b466fb70ed5bb9bef07c82022-12-21T16:54:01ZengFakultas MIPA Universitas JemberJurnal Ilmu Dasar1411-57352442-56132010-07-0111217217694Optimum Simplex Lattice Designs of Low Order Multiresponse Surface Model by D-Optimum CriterionRuslan Ruslan0Susanti Linuwih1Purhadi Purhadi2Sony S3Mahasiswa S3 Statistika Institut Teknologi Sepuluh Nopember SurabayaJurusan Statistika Institut Teknologi Sepuluh Nopember SurabayaJurusan Statistika Institut Teknologi Sepuluh Nopember SurabayaJurusan Statistika Institut Teknologi Sepuluh Nopember SurabayaSimplex lattice design is a part of mixture designs has patterns simplex {q, m} where q is number of factors andm is degree of polynomial. If entangling a number of the response variables which measured from a number offactors called the multiresponse surface model, hence to obtain get the matrix designs of optimum mixture atmultiresponse surface model will be used by the optimum-D criterion. In this research, we studied abouttheoretical approach to get optimum simplex lattice design of low order multiresponse surface model byoptimum-D criterion. We assumed that design points have similar weighted values.https://jurnal.unej.ac.id/index.php/JID/article/view/94simplex lattice designsmultiresponse surface modelsd-optimum criterion
spellingShingle Ruslan Ruslan
Susanti Linuwih
Purhadi Purhadi
Sony S
Optimum Simplex Lattice Designs of Low Order Multiresponse Surface Model by D-Optimum Criterion
Jurnal Ilmu Dasar
simplex lattice designs
multiresponse surface models
d-optimum criterion
title Optimum Simplex Lattice Designs of Low Order Multiresponse Surface Model by D-Optimum Criterion
title_full Optimum Simplex Lattice Designs of Low Order Multiresponse Surface Model by D-Optimum Criterion
title_fullStr Optimum Simplex Lattice Designs of Low Order Multiresponse Surface Model by D-Optimum Criterion
title_full_unstemmed Optimum Simplex Lattice Designs of Low Order Multiresponse Surface Model by D-Optimum Criterion
title_short Optimum Simplex Lattice Designs of Low Order Multiresponse Surface Model by D-Optimum Criterion
title_sort optimum simplex lattice designs of low order multiresponse surface model by d optimum criterion
topic simplex lattice designs
multiresponse surface models
d-optimum criterion
url https://jurnal.unej.ac.id/index.php/JID/article/view/94
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AT susantilinuwih optimumsimplexlatticedesignsoflowordermultiresponsesurfacemodelbydoptimumcriterion
AT purhadipurhadi optimumsimplexlatticedesignsoflowordermultiresponsesurfacemodelbydoptimumcriterion
AT sonys optimumsimplexlatticedesignsoflowordermultiresponsesurfacemodelbydoptimumcriterion