Judul: Analisis Percobaan Multilokasi Tanaman Jahe (Zingiber official rosc.) Menggunakan Model Ammi
Abstrak: Percobaan multilokasi dilakukan untuk mengetahui interaksi genotip dengan Jingkungannya. Analisis yang biasa digunakan untuk mengetahui interaksi tersebut adalah analisis ragam dan analisis komponen utama. Penggunaan kedua metodc tersebut tidak efelctif untuk menjelaskan secara Icbih mendalam pola interaksi antara genotip dengan lokasi terutama untuk struktur data yang kompleks. Analisis ragam merupakan suatu model aditif yang hanya menerangkan keefektifan pengaruh utama. Analisis ini mampu menguji interaksi tetapi tidak mampu menentukan pola genotip dan lokasi. Sedangkan analisis komponen utama hanya efektifmenjelaskan pengaruh interaksi tanpa menerangkan pengaruh utamanya. Pendekatan lain untuk mengatasi masalah tersebut adalah metode AMMI yang merupakan gabungan dari pengaruh aditifpada analisis ragam dan pcngaruh multiplikatif pada analisis komponen utama. Pada penelitian ini. model produksi jahe dapat diduga oIch model AMMI2 yaitu pengaruh utama ditambah dengan KUll dan KUI2. Biplot AMMI2 menunjukan bahwa terdapat deIapan genotifyang tidak stabil yaitu genotif IPB I, JPB2, IPB3. JMI, 1M2, IPIO, IPK4. dan JPK9, sedangkan sisanya tennasuk genotif yang stabil. Genotif
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Judul: Klasifikasi Genotipe Pada Data Tidak Lengkap  Dengan Pendekatan Model Ammi
Abstrak: Multilocations trials play an important role in plant breeding and agronomic research. Study concerning genotype-environment interaction needed in selection of genotype to be released. AMMI (Additive Main effect and Multiplicative Interaction) is one of statistical technique to analyze data from multilocations trials. The analysis of AMMI is a combining analysis between additive main effect and principal component analysis. The main restriction of using AMMI analysis is balance data. However a multilocations trials give an opportunity of the occurrence of unbalance data become very big. It is intended for every combination of genotype and location have the same number of replication. Therefore, we must estimate the data which do not complete. Incomplete data case, it is needed some data estimation method analysis, at this research employed connected data method and EM-AMMI algorithm to estimate incomplete data. Data which used in this research is obtained from Indon Spices Medicinal Crops Research Institute (ISMECRI) Bogor. It is a secondary data of ginger essential content resulted from multilocations trials, sixteen of genotype ginger which tested at five location in West Java. Simulation result shows that estimation using connected data will obtain smaller MAPE if its followed by two times EM-AMMI algorithm, for the percentage of data lose 10% to 20%. Production of ginger essential content estimated with AMMI2 model can explain 76.09% interaction structure among location and genotype. Seen from stability of genotype, there are 2 stable genotype, that is genotype 3 and 7. Genotype 8, 12, 15 specific at location B; genotype 9, 11, 14, 16 specific at location D and E; and genotype 1, 2, 4, 5, 6, 10 and 13 specific at location A and C.
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Judul: Hamiltonian formulation for linear waves motion in two layers fluid
Abstrak: The surface wave could be considered as a wave that separates two fluids, namely water and air. Based on this assumption, it is introduced the interfacial wave, a wave between two layers of fluid with different density. The formulation of interfacial waves motion begins with deriving the base equation of irrotational ideal fluid. Furthermore, according to irrotational fluid assumption, the base equation can be stated in velocity potential. In this derivation, the fluids domain is assumed to be restricted by rigid lid boundary conditions, both at the upper and lower limit. Therefore, the interfacial waves motion can be explained in a hamiltonian formulation. In the hamiltonian formulation, total energy is defined as the sum of kinetic and potential energy. The hamiltonian system is obtained from reduction of kinetic energy by using the Dirichlet Neumann Operator. The resulted kinetic energy equation is nonlinear. Therefore, this form is linearized by first part of the Taylor expansion. This linearization gives a dispersion relation of linear wave. Based on this dispersion relation, the phase speed of the linear wave depends on the density ratio of the two layers fluid.
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