statistika/matematika/perancangan percobaan/experimental designs/model AMMI

1. ABSTRACT
Farida Nursanti AS., 2011.-- ANALYSIS ON MULTILOCATION EXPERIMENTS
OF RICE PLANTS USING FIXED MODEL AMMI (i – xviii; 98 pages) (Supervisors
: I Gde Ekaputra Gunartha and I Gede Adhitya Wisnu Wardhana)
Multilocation experiment of plants conducted to determine the interaction of
genotypes and locations (G x E) of their growth. The experiment has an important
role in selecting genotypes to obtain high-yielding and high yield stability in a
particular location. A statistical analysis on the multilocation experiments of rice
plants in this study is the analysis of AMMI-fixed model. This research aims to apply
the analysis of AMMI-fixed model to identify rice genotypes that perform consistently
high-yielding and stability across a wide range of locations and determine the
location of a suitable site for a particular rice genotype.
This study used five data sets from multilocation experiments of rice crop yields.
Data of Experiment-1 obtained from experiments of nine rice genotypes grown at
four locations in East Java. AMMI results show that the variation of interaction GxE
can be explained by the model AMMI2. By using the biplot of 95% confidence
interval on multivariate normal distribution obtained that all genotypes studied
(Bondoyudo, Ngale I, Slengreng, Ciherang, BC-3, Way Apo Buru, Towuti, Sintanur,
and IR-64) belong to stable genotypes, but not all have yielding ability above the
grand average of yields. Only the genotypes has yielding ability above the grand
average of yields recommended as superior genotypes, namely genotype
Bondoyudo, BC-3, Way Apo Buru, Towuti, and IR-64.
In Experiment-2, data obtained from yield experiments of six rice genotypes (MS099,
MS811, Maro, Rokan, IR-64 and Bondoyudo) planted at 17 locations in West Nusa
Tenggara Province. The variation of interaction GxE can be explained by the model
AMMI5. However mapped using biplot obtained only two rice genotypes belonging
to stable, i.e. MS099 and MS811 for the planting on 17 sites tested. Both genotypes
can be recommended as superior genotypes because their yields are above the grand
average.
For Experiment-3, the data obtained from experiments of 12 genotypes of rice
(B10385-MR-6-3. B8210G-KN-4-6-6-B-2, B9307E-MR-17, B10030D-CT-B, B9890F
-CT-B, IR39357-71-1-1-2-2, BP143-MR-4-3-1, B9645E-MR-89-1, B10384-MR-1-7-
2, B10393-MR-5 -2-3, B10393-MR-13-1-3, and Dodokan) planted at 13 locations in
Indonesia (North Sumatera, West Java, Central Java, East Java, Bali, and Lombok).
AMMI results show the variantion of interaction GxE can be explained well by the
model AMMI2. From the biplot obtained only 7 stable rice genotypes (B10393-MR-
5-2-3, B9307E-MR-17, B10393-MR-13-1-3, B9645E-MR-89-1, B10030D-CT-B ,
IR39357-71-1-1-2-2, and Dodokan); but there are 5 genotypes recommended as
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Program Studi Matematika – FMIPA Universitas Mataram (2011) 1/2

2. superior genotypes, namely B9307E-MR-17, B10393-MR-13-1-3, B9645E - MR-89-
1, B10393-MR-5-2-3, and B10030D-CT-B.
Data of Experiment-4 obtained from the experiments of 7 upland rice genotypes
(S382b-2-2-3, S2389d-3-2 = 3-1, S24871-65-4, S2824-1d-6, S2945f-59, Poso, and
C22) planted at 9 locations in West Java. AMMI results indicate that the variation
of interaction GxE can be explained well by model AMMI6. While the biplot
mapping obtained only 5 genotypes are stable, namely: S382b-2-2-3, S2824-1d-6,
S2945f-59, Poso, and C22. Recommended as superior genotypes are only S382b-2-
2-3, S2824-1d-6, Poso, and C22.
Finally, for data of Experiment-5 obtained from experiments 23 genotypes of red
rice (A0, A1, A2, A3, A4, A5, A6, A7, A8, D1, D2, D3, D4, D5, D13, D14, D15, D16,
D18, D19, Piong, Figures, and Kenya) planted at 3 locations in Lombok. The
variation of interaction GxE can be explained by using models AMMI2, and then
biplot mapping results obtained 21 genotypes are stable, ie: A0, A1, A2, A3, A4, A5,
A6, A7, A8, D1, D2, D3, D4, D5, D13, D14, D15, D16, D18, D19, and Kenya. While
recommended as superior genotypes are: A0, A1, A3, A4, A5, A6, A8, D5, D13, D14,
and D16.
Key words: multilocation experiment, AMMI-Fixed Model, Biplot.
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Program Studi Matematika – FMIPA Universitas Mataram (2011) 2/2