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PERBANDINGAN METODE LEAST TRIMMED SQUARE (LTS) DAN ESTIMASI M PEMBOBOT ANDREW DALAM REGRESI ROBUST (STUDI KASUS: FAKTOR KESEJAHTERAAN MASYARAKAT PADA INDEKS PEMBANGUNAN MANUSIA 2023)
Multiple regression analysis aims to analyze the relationship between two or more variables. One of them is by using the Ordinary Least Squares (OLS). OLS aims to minimize errors that are not resistant to outliers and cause bias and inaccuracy. Robust regression is one alternative method to overcome this. Robust regression compares two estimates: M with Andrew weights and Least Trimmed Squares (LTS). The M estimate is designed to minimize the influence of data with large residuals by replacing the error square function with a loss function that is more resistant to outliers. Meanwhile, the LTS method uses the principle of robust regression fitting by minimizing the smallest residual squares, i.e., by excluding the largest residuals considered outliers. The Human Development Index is one of the important indicators of a country’s progress, which is influenced by factors such as health, education, and the economy. This study aims to analyze the influence of factors related to community welfare, including expected years of schooling, average years of schooling, labor force, labor force participation rate, and the number of public hospitals on the Human Development Index. The results of the study show that OLS, M estimation, and LTS have RSE values of 1.173, 0.9701, and 1.00035, respectively. M estimation has the lowest RSE value compared to the other two estimations. This indicates that M estimation is the most effective in producing a model with better predictions in overcoming outlier and multicollinearity problems
FAKULTAS SAINS DAN TEKNOLOGI, UIN SUNAN KALIJAGA YOGYAKARTA
NIM.: 21106010052 Laili Mahfuzhotul Hasanah
PERBANDINGAN METODE LEAST TRIMMED SQUARE (LTS) DAN ESTIMASI M PEMBOBOT ANDREW DALAM REGRESI ROBUST (STUDI KASUS: FAKTOR KESEJAHTERAAN MASYARAKAT PADA INDEKS PEMBANGUNAN MANUSIA 2023) (Text)
PERBANDINGAN METODE LEAST TRIMMED SQUARE (LTS) DAN ESTIMASI M PEMBOBOT ANDREW DALAM REGRESI ROBUST (STUDI KASUS: FAKTOR KESEJAHTERAAN MASYARAKAT PADA INDEKS PEMBANGUNAN MANUSIA 2023) (Other)
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