The Existence of Gorontalo Muhammadiyah University in Increasing the Income of the East Pentadio Village Community

The purpose of this research was to determine the existence of the Muhammadiyah University of Gorontalo in increasing the income of the people of East Pentadio Village. This research uses a descriptive qualitative research approach, using interview instruments with various informants. The results using Samuelson's theory about the factors that influence income, show that the existence of the Muhammadiyah University of Gorontalo is able to increase the income of the people of East Pentadio Village. However, the current existence of the campus has not been fully utilized by the community in increasing the income of the people of East Pentadio Village. There are still many outsiders who take advantage of the opportunity of the existence of the Muhammadiyah University of Gorontalo by making larger businesses in the campus area so that community businesses that are built simply with little capital experience competition. The low level of education of rural communities makes the business that is built still not optimal and makes the community less creative and innovative in entrepreneurship. This also causes people to easily give up when experiencing losses.

Influence Analysis of Some Alternatives to Ordinary Least Squares Estimator in Parametric Regression Models

This thesis investigates diagnostic methods in parametric regression models with some alternatives to ordinary least squares estimator. Of which, the Liu estimator has been developed as an alternative to the ordinary least squares estimator in the presence of collinearity among the regressors in linear regression models. Firstly, we presented the DFFITS and different versions of the Cook distance analogous to the ones given for the ordinary linear regression models of each individual observation on the Liu estimates. We suggested a version of the Cook distance based on one-step approximation. The mean shift outlier model for the Liu regression has also been investigated. Moreover, using the Sherman-Morrison-Woodbury theorem, we proposed approximate versions of the DFFITS and the Cook distance. Next, the pseudo likelihood function is given for estimating the regression coefficients and shape parameter as well as to establish local influence diagnostics. The normal curvatures of local influence are deduced under arbitrary perturbation schemes to detect influential observations. Then, we discussed the assessment of local influence under the modified ridge regression with normal error distribution. Using a pseudo-likelihood function, we expressed the normal curvatures of local influence for useful perturbation schemes in interpretable forms.Finally, local influence diagnostic methods in the modified ridge regression are deduced under heavy-tailed error distribution. The methods of analysis we presented have considerable significance for the detection of influential observations in the Liu and the modified ridge regression models. Examples using real-life data sets are used to illustrate the proposed methodology.