eprintid: 11502
rev_number: 6
eprint_status: archive
userid: 3
dir: disk0/00/01/15/02
datestamp: 2014-11-07 04:28:27
lastmod: 2014-11-07 04:28:27
status_changed: 2014-11-07 03:03:56
type: article
metadata_visibility: show
creators_name: Suwardi, Annas
creators_name: Selfi Dian, Purtanti
title: ADDITIVE MAIN EFFECT AND MULTIPLICATIVE INTERACTION ON FIXED MODEL OF TWO FACTORS DESIGN
ispublished: submitted
subjects: MAT2014
divisions: fmipa_jurdik_math_math
full_text_status: public
keywords: AMMI, ANOVA, Genotype, Multilocation,  PCA
abstract: Multilocation trials is usually conducted to study the factors effect of genotype and environment including their interaction in order to increase the yield of crops. The environment can be considered as giving different doses of fertilizers to each genotype. The present study was aimed to investigate both additive main and interaction effects  on fixed model of two factors design. As the application, the study used a dataset of the yield of paddy in four varieties (IR8, IR5, C4-63, and PETA) given nitrogen fertilizer with six different doses (N0, N1, N2, N3, N4, and N5). The first step of analysis was estimating variance component using fixed model ANOVA (Analysis of Variance). Then, AMMI (Additive Main Effects and Multiplicative Interaction) model was applied which is the combination of additive main effect and the principal component analysis (PCA) of interaction effect. The result of study shows that the variance component has positive value for all factors of treatment. AMMI analysis produces AMMI-2 as the best model at the significant level of α = 0.05. The biplot of AMMI-2 obtained that IR5 can adapt to nitrogen fertilizer in any level. Spesific interaction occurs in variety C4-63 in nitrogen    level, variety IR8 in nitrogen    level, and variety PETA in nitrogen    level. Based on the result of study, it can be concluded that the use of AMMI fixed model in two factors design can effectively explain the effect and the pattern of interaction structure among treatment factor levels.
date: 2014-05
date_type: submitted
publication: Proceeding of  International Conference On Research, Implementation And Education  Of Mathematics And Sciences 2014
publisher: Yogyakarta State University
refereed: TRUE
official_url: http://fmipa.uny.ac.id
referencetext: Suwardi, A., Mattjik, A.A., and Susetyo, B. 2001. AMMI Methods for Mixed Model. Journal of Statistics and Computation Forum, Bogor Agricultutre University . Vol. 6, p. 32-34. Gomez, K. A. and Gomez, A. A. 1995. Prosedur Statistik untuk Penelitian, Edisi Kedua. Jakarta: UI Press.  Johnson, R. A. dan Wichern, D. W. 1996. Applied Multivariate Statistical Analysis 3rd edition, New Jersey: Prentice-Hall. 
Mattjik, A. A. 1996. Analisis Pengaruh Utama Aditif dan Interaksi Ganda. Forum Statistika dan Komputasi. Vol.2. No.1. Jurusan Statistika Fakultas Matematika dan Ilmu Pengetahuan Alam Institut Pertanian Bogor. 
Mattjik, A.A. 1998. Aplikasi Analisis Pengaruh Utama Aditif dengan Interaksi Ganda (UAIG) pada Data Simulasi. Forum Statistika dan Komputasi. Vol.3. No.1. Jurusan Statistika Fakultas Matematika dan Ilmu Pengetahuan Alam Institut Pertanian Bogor. 
Mattjik, A. A. 2004. Modul Teori Pelatihan Analisis Multivariat. Bandung:  Departement Statistika. FMIPA IPB. 
Sumantri, B. 1997. Model Linear Terapan (Rancangan Percobaan). Bandung: Jurusan statistika. FMIPA IPB. 
Sumertajaya, I.M. 2007. Analisis Statistik Interaksi Genotipe dengan Lingkungan. http://balitsereal.litbang.deptan.go.id/en. Diakses: 10/11/10. 
Widiastuti, I. 2010. Additive Main Effects and Multiplicative Interaction (AMMI). http://eprints.undip.ac.id.pdf. Diakses: 10/11/10.
citation:   Suwardi, Annas and Selfi Dian, Purtanti  (2014) ADDITIVE MAIN EFFECT AND MULTIPLICATIVE INTERACTION ON FIXED MODEL OF TWO FACTORS DESIGN.  Proceeding of International Conference On Research, Implementation And Education Of Mathematics And Sciences 2014.      (Submitted)  
document_url: http://eprints.uny.ac.id/11502/1/M-16%20Suwardi%20Anas.pdf