E jurnal Matematika

1-5

Authors: NI WAYAN YULIANI, I KOMANG GDE SUKARSA, I GUSTI AYU MADE SRINADI

Multiple linear regression analysis with a lot of independent variable always makes many problems because there is a relationship between two or more independent variables. The independent variables which correlated each other are called multicollinearity. Principal component analysis which based on variance covariance matrix is very sensitive toward the existence of outlier in the observing data. Therefore in order to overcome the problem of outlier it is needed a method of robust estimator toward outlier. ROBPCA is a robust method for PCA toward the existence of outlier in the data. In order to obtain the robust principal component is needed a combination of Projection Pursuit (PP) with Minimum Covariant Determinant (MCD). The results showed that the ROBPCA method has a bias parameter and Mean Square Error (MSE) parameter lower than Principal Component Regression method. This case shows that the ROBPCA method better cope with the multicollinearity observational data influenced by outlier. Keywords: Multiple Linear Regression, Principal Component Regression, ROBPCA (Robust Principal Component Analysis), multicollinearity, Outlier

11-16

Authors: NI MADE SEKARMINI, I KOMANG GDE SUKARSA, I GUSTI AYU MADE SRINADI

One method of regression analysis used to analyze the count data is Poisson regression. Poisson regression requires that the mean value equal to the value of variance (equidispersion). However, sometimes the data is going overdispersion the state variance values greater than the mean value. One of the causes overdispersion is the excessive number of zero values on the response variable (excess zeros). One method of analysis that can be used on data that had overdispersion due to excess zeros is regression Zero-Inflated Negative Binomial (ZINB). The data that can be analyzed using the ZINB regression is the early childhood mortality in the province of Bali because much of the data is zero. The analysis showed that the data had overdispersion on Poisson regression, so the ZINB regression analysis was used. From the results of the ZINB regression can overcome overdispersion so it was better than the Poisson Regression Model. Keywords: Overdispersion, ZINB Regression, Poisson Regression, Early Childhood Mortality

23-28

Authors: PUTU OKA SURYA ARSANA, MADE SUSILAWATI, KETUT JAYANEGARA

Bali instead of famous for tourism also popular at agriculture. One of them is subak. It is a culture heritage in the world. To cope with this problem the development in agriculture should be increased. The goal for this research are to know the identifiier factors of agriculture devolopment in Bali, the most dominat factors, and the variable which represent the development of agriculture in Bali. The method of analysis used for this research is factors analysis. Factor analysis is used to reduce the data or summary, for variable which is being changed to a new variable called factor and still load many information contained in a real variable. The method used in the factor analysis is principal component analysis method. Many factors are determined by eigen values. The factor rotation which used is varimax rotation. Based on the research results, got seven factors with the diversities which can be explained are 76.417%. Factors dryland farming as the most dominant factor identifier with the total value of the largest eigenvalues is 4.564 or 25.356% with variables representing these factors are widely planted potatoes and pulses. Keywords: factor Analysis, principal component analysis, eigen value, factor rotation.

40-45

Authors: AGUSTINA PAULA THERESIA PUTRI LAHALLO, I NYOMAN WIDANA, DESAK PUTU EKA NILAKUSMAWATI

This study calculates non renewable monthly premiums and renewable monthly premiums for health insurance. Formulations used in this study were derived from the equations used by Wilandari (2007). The monthly premium calculation uses a CSO mortality table and an interest rate of 6%. To illustrate the calculating of the premium it is assumed that a family consist of a father, a mother and a son, respectively with age 40, 36 and 9 years old. The results obtained were that the total premium is paid amounted to Rp. 155.02,00 every month for 20 years. Benefit for the cost of room, doctor visits, and the cost of care respectively were Rp. 200.000,00 per day, Rp. 75.000,00 per day and Rp. 4.000.000,00 per periode. Average duration of treatment was 180 days. The renewable monthly premium was paid in different amounts each year, with the range from Rp. 80.425,00 to Rp. 406.465,00. From this study, Although initially the renewable premium is cheaper than the non renewable premium, at the end it is more expensive than the non renewable premium. In this study it was obtained too that 12 times the monthly premium is greater than 1 times the annual premium. Keywords: insurance, monthly payment, health insurance