Judul: Kajian Statistika Terhadap Pertumbuhan dan Kualitas Temulawak
Abstrak: Penelitian ini mempelajari penggunaan beberapa metode analisis data yaitu ANOVA, MANOVA dan Repeated Measurement. MANOVA adalah metode analisis yang mampu menguji pengaruh berbagai perlakuan yang dicobakan terhadap lebih dari satu peubah secara bersamaan. MANOVA merupakan perluasan dari konsep dan teknik ANOVA, pada situasi ada beberapa peubah respon yang diamati. MANOVA mempertimbangkan adanya ketergantungan antar peubah-peubah respon sedangkan ANOVA ketergantungan diantara peubah respon tidak menjadi perhatian utama. Dalam melakukan suatu percobaan adakalanya dilakukan pengamatan dalam beberapa kali periode waktu pada subjek percobaan yang sama, untuk mengetahui kecepatan perubahan respon dari satu periode waktu ke periode waktu lainnya. Metode repeated measurement dapat digunakan untuk menganalisis jenis percobaan tersebut. Metode-metode analisis ini diterapkan pada data penelitian hasil percobaan tanaman temulawak di kebun percobaan Biofarmaka IPB. Rancangan yang digunakan adalah rancangan faktorial kelompok teracak. Faktor yang dicobakan adalah faktor pupuk organik dengan dua taraf pemberian pupuk (K0, K5) dan pupuk anorganik dengan empat taraf pemberian pupuk (P0, P30, P60, P90). Tujuan penelitian ini adalah menerapkan beberapa metode analisis data untuk mempelajari pengaruh pupuk organik dan anorganik terhadap pertumbuhan, produksi dan kandungan senyawa penciri temulawak. Hasil analisis MANOVA menunjukkan bahwa interaksi antara faktor pupuk organik dan anorganik nyata pada α = 0.05. Hasil pengujian menunjukkan bahwa terdapat pengaruh pemberian pupuk organik dan tanpa pupuk organik di setiap taraf pupuk anorganik. Secara umum pemberian pupuk organik dan anorganik dapat meningkatkan tinggi tanaman, jumlah daun dan jumlah anakan. Rata-rata tinggi tanaman 272.67cm, jumlah daun 36.33/rumpun, jumlah anakan 10.67/rumpun dan perolehan rimpang segar 954.70 g/rumpun. Hasil ini adalah rata-rata tertinggi yang diperoleh pada kombinasi perlakuan pupuk organik dosis 5ton/ha dan pupuk anorganik dosis 90kg/ha. Hasil ANOVA menunjukkan pemupukan tidak berpengaruh terhadap kadar pati dan kukuminoid pada α = 0.05. Sedangkan analisis repeated measurement menunjukkan baik pupuk organik maupun anorganik mampu memberikan laju penambahan tinggi tanaman, jumlah daun dan jumlah anakan dari waktu ke waktu.
Keyword: analisis ragam, anova, manova, temulawak, uji homogenitas

Judul: Kajian Statistika Terhadap Pertumbuhan dan Kualitas Temulawak
Abstrak: Temulawak (Curcuma xanthorrhiza) is widely used as raw material for traditional medicine regarding the special quality to cure much of disease. The tuber usage has close relationship with contend of active substance. The active substance for every plant is different that is depend on climate, altitude, soil type, treatment, cultivation technique and processing manner. According to the factors, it is necessary to construct an effective and efficiently research design. Factorial experiment with randomized group design was used in this study. The treatment factor are organic fertilizer factor using dosage 0 and 5 ton/ha and inorganic fertilizer factor using dosage 0, 30, 60 and 90 kg/ha. The objectives of the research are to study effect of organic and inorganic fertilizer on growth, production and characteristic compound for temulawak, applying iterated observation method to study growing pattern for temulawak. Statistic study using Manova shows that interaction between organic and inorganic fertilizer is significant for 0.05. The result also indicated that there is an effect of applying organic and without organic fertilizer application on every level inorganic fertilizer. In general, organic and inorganic application will increase the plant high, number of leaf and buds. The average of plant high is 272.667 cm, for leaf number is 36.33 / clump, bud number is 10.67 / clump and production of fresh tuber is 954.7 gr/clump. The result is the highest average that achieved for treatment combination 5 ton/ha of organic fertilizer and 90 kg/ha for inorganic. The iterated observation result shows that both organic and inorganic fertilizer will increasing plant high, leaf and bud number from time to time.
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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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