?url_ver=Z39.88-2004&rft_id=1917031043&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=EFEKTIVITAS+ANALISIS+REGRESI+KOMPONEN+UTAMA+ROBUST+DENGAN+METODE+MCD-LTS+PADA+DATA+INDEKS+PEMBANGUNAN+MANUSIA+(IPM)+PROVINSI+SUMATERA+UTARA&rft.creator=NURJANAH%2C++&rft.subject=500+ilmu+pengetahuan+alam+dan+matematika&rft.subject=510+Matematika&rft.description=Regresi+Komponen+Utama+(RKU)+merupakan+salah+satu+metode+yang+digunakan+dalam+mengatasi+masalah+multikolinearitas+dengan+tahapan+melakukan+Analisis+Komponen+Utama+(AKU)+kemudian+diregresikan+dengan+Ordinary+Least+Squares+(OLS).+Apabila+terdapat+outlier%2C+digunakan+metode+robust+pada+RKU%2C+yaitu+menggunakan+metode+Minimum+Covariance+Determinant+(MCD)+yang+kemudian+diregresikan+dengan+metode+Least+Trimmed+Squares+(LTS)+yang+dalam+penelitian+ini+digunakan+data+Indeks+Pembangunan+Manusia+(IPM)+provinsi+Sumatera+Utara+yang+dipengaruhi+tujuh+variabel+bebas+yaitu+tingkat+partisipasi+angkatan+kerja%2C+presentase+penduduk+miskin%2C+penduduk+umur+15+tahun+keatas+yang+bekerja%2C+angka+partisipasi+sekolah%2C+jumlah+fasilitas+sekolah%2C+banyaknya+sarana+kesehatan+dan+angka+harapan+hidup.+Tujuan+penelitian+ini+yaitu+mengukur+efektivitas+penerapan+metode+MCD+dan+LTS+dalam+regresi+komponen+utama+robust+untuk+pemodelan+Indeks+Pembangunan+Manusia+(IPM)+provinsi+Sumatera+Utara.+Hasil+dari+penelitian+ini+menunjukkan+bahwa+metode+robust+MCD-LTS+dinilai+lebih+efektif+dalam+mengatasi+masalah+multikolinearitas+dan+outlier+daripada+metode+klasik+AKU-OLS+dengan+nilai+Adjusted+R2+0.5573+dan+nilai+RMSE+0.4339.%0D%0A%0D%0AKata+kunci+%3A+Regresi+Komponen+Utama%2C+Multikolinearitas%2C+Outlier%2C+Robust%2C+Minimum+Covariance+Determinant%2C+Least+Trimmed+Squares%2C+Indeks+Pembangunan+Manusia%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0Aabstract%0D%0A%0D%0APrincipal+Component+Regression+(PCR)+is+one+of+the+methods+used+in+overcoming+multicollinearity+problems+with+the+stages+of+conducting+Principal+Component+Analysis+(PCA)+and+then+regressing+with+Ordinary+Least+Squares+(OLS).+If+there+are+outliers%2C+the+PCR+robust+method+is+used%2C+namely+using+the+Minimum+Covariance+Determinant+(MCD)+method+which+is+then+regressed+using+the+Least+Trimmed+Squares+(LTS)+method+which+in+this+study+used+data+from+the+Human+Development+Index+(HDI)+of+North+Sumatra+province+which+is+influenced+by+seven+independent+variables%2C+including+labor+force+participation+rates%2C+percentage+of+poor+population%2C+population+aged+15+years+and+over+who+are+employed%2C+school+enrollment+rates%2C+number+of+school+facilities%2C+number+of+health+facilities%2C+and+life+expectancy.+The+purpose+of+this+study+was+to+measure+the+effectiveness+of+the+application+of+the+MCD+and+LTS+methods+in+robust+principal+component+regression+for+modeling+the+Human+Development+Index+(HDI)+of+North+Sumatra+province.+The+results+of+this+study+indicate+that+the+MCD-LTS+method+is+considered+effective+in+overcoming+multicollinearity+and+outlier+problems+more+than+the+classical+AKU-OLS+method+with+an+Adjusted+R2+value+of+0.5573+and+an+RMSE+value+of+0.4339.%0D%0A%0D%0AKeyword+%3A+Principal+Component+Regression%2C+Multicollinearity%2C+Outlier%2C+Robust%2C+Minimum+Covariance+Determinant%2C+Least+Trimmed+Squares%2C+Human+Development+Index&rft.publisher=FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM&rft.date=2023-08-23&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F75914%2F1%2FABSTRAK.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F75914%2F2%2FSKRIPSI%2520FULL.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F75914%2F3%2FSKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.identifier=++NURJANAH%2C+++(2023)+EFEKTIVITAS+ANALISIS+REGRESI+KOMPONEN+UTAMA+ROBUST+DENGAN+METODE+MCD-LTS+PADA+DATA+INDEKS+PEMBANGUNAN+MANUSIA+(IPM)+PROVINSI+SUMATERA+UTARA.++FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F75914%2F