RANCANGAN D-OPTIMAL UNTUK MODEL EKSPONENSIAL GENERAL

RANCANGAN D-OPTIMAL UNTUK MODEL EKSPONENSIAL GENERAL

Exponential model is widely used in biology, chemistry, pharmacokinetics and microbiology. D-optimal criteria is criteria with the purpuse to minimize the variance of  the estimator of parameters in the model. In this paper will discuss the D-optimal design for the generalized exponential model with...

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Main Authors: Tatik Widiharih, Sri Haryatmi, Gunardi Gunardi
Format: Article
Language:English
Published: Universitas Diponegoro 2014-12-01
Series:Media Statistika
Online Access:https://ejournal.undip.ac.id/index.php/media_statistika/article/view/8491
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spelling doaj-f1cc1d0947e34700815d5b286d0b571e2020-11-25T02:33:03ZengUniversitas DiponegoroMedia Statistika1979-36932477-06472014-12-0172717610.14710/medstat.7.2.71-767208RANCANGAN D-OPTIMAL UNTUK MODEL EKSPONENSIAL GENERALTatik Widiharih0Sri Haryatmi1Gunardi Gunardi2Jurusan Statistika, FSM, Universitas DiponegoroJurusan Matematika, FMIPA, Universitas Gadjah MadaJurusan Matematika, FMIPA, Universitas Gadjah MadaExponential model is widely used in biology, chemistry, pharmacokinetics and microbiology. D-optimal criteria is criteria with the purpuse to minimize the variance of  the estimator of parameters in the model. In this paper will discuss the D-optimal design for the generalized exponential model with  homoscedastics  errore assumtion. We used minimally supported design with the proportion of  each design point is uniform. The optimization is used  modified Newton, and the results obtained that the  design points are  interior points of the design region.   Keywords: D-Optimal, Generalized Exponential, Minimally Supported Design, Support Point, Homoscedasticshttps://ejournal.undip.ac.id/index.php/media_statistika/article/view/8491
collection DOAJ
language English
format Article
sources DOAJ
author Tatik Widiharih
Sri Haryatmi
Gunardi Gunardi
spellingShingle Tatik Widiharih
Sri Haryatmi
Gunardi Gunardi
RANCANGAN D-OPTIMAL UNTUK MODEL EKSPONENSIAL GENERAL
Media Statistika
author_facet Tatik Widiharih
Sri Haryatmi
Gunardi Gunardi
author_sort Tatik Widiharih
title RANCANGAN D-OPTIMAL UNTUK MODEL EKSPONENSIAL GENERAL
title_short RANCANGAN D-OPTIMAL UNTUK MODEL EKSPONENSIAL GENERAL
title_full RANCANGAN D-OPTIMAL UNTUK MODEL EKSPONENSIAL GENERAL
title_fullStr RANCANGAN D-OPTIMAL UNTUK MODEL EKSPONENSIAL GENERAL
title_full_unstemmed RANCANGAN D-OPTIMAL UNTUK MODEL EKSPONENSIAL GENERAL
title_sort rancangan d-optimal untuk model eksponensial general
publisher Universitas Diponegoro
series Media Statistika
issn 1979-3693
2477-0647
publishDate 2014-12-01
description Exponential model is widely used in biology, chemistry, pharmacokinetics and microbiology. D-optimal criteria is criteria with the purpuse to minimize the variance of  the estimator of parameters in the model. In this paper will discuss the D-optimal design for the generalized exponential model with  homoscedastics  errore assumtion. We used minimally supported design with the proportion of  each design point is uniform. The optimization is used  modified Newton, and the results obtained that the  design points are  interior points of the design region.   Keywords: D-Optimal, Generalized Exponential, Minimally Supported Design, Support Point, Homoscedastics
url https://ejournal.undip.ac.id/index.php/media_statistika/article/view/8491
work_keys_str_mv AT tatikwidiharih rancangandoptimaluntukmodeleksponensialgeneral
AT sriharyatmi rancangandoptimaluntukmodeleksponensialgeneral
AT gunardigunardi rancangandoptimaluntukmodeleksponensialgeneral
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