eprintid: 56780
rev_number: 10
eprint_status: archive
userid: 12460
dir: disk0/00/05/67/80
datestamp: 2023-03-01 07:36:43
lastmod: 2023-03-01 07:36:43
status_changed: 2023-03-01 07:36:43
type: thesis
metadata_visibility: show
contact_email: muh.khabib@uin-suka.ac.id
creators_name: Rila Handini Agestia, NIM.: 19106010006
title: ANALISIS REGRESI NONPARAMETRIK DENGAN METODE CUBIC SPLINE DAN B-SPLINE (STUDI KASUS: FAKTOR-FAKTOR YANG MEMPENGARUHI INDEKS PEMBANGUNAN MANUSIA DI INDONESIA PADA TAHUN 2021-2022)
ispublished: pub
subjects: Matematika
divisions: jur_mat
full_text_status: restricted
keywords: Regresi Cubic Spline, Regresi B-Spline, GCV, MSE, Titik Knot
note: Pembimbing:
abstract: Regression analysis is a method used to show the effect of the predictor
variable (independent variable) on the response variable (dependent). The approach
to regression analysis is divided into parametric and non-parametric, where the
parametric approach requires several assumptions that must be fulfilled such as data
with an error distribution, free from multicollinearity and autocorrelation, and
heteroscedasticity. However, in everyday life the data required sometimes does not
match the assumptions. So it requires more flexible approach, such as
nonparametric approach. Cubic Spline is one of the methods commonly used in the
nonparametric approach. Selection of many and adjacent knot points can result in
singular calculations, so basis for the B-Spline function is needed.
The dependent variable used is the value of the Human Development Index
in 2021-2022 with the independent variables used being the Average Length of
School and Adjusted Per Capita Spending. Determination of the optimal knot point
uses the smallest GCV. Selection of the best model uses the smallest GCV and MSE
values. The best model obtained is: 2
1 1
ˆ 60.25004 Y   75.97957X  70.13013X
 3 3
1 1 +74.18333X 81.58604 X 7.060601

date: 2023-01-27
date_type: published
pages: 182
institution: UIN SUNAN KALIJAGA YOGYAKARTA
department: FAKULTAS SAINS DAN TEKNOLOGI
thesis_type: skripsi
thesis_name: other
citation:   Rila Handini Agestia, NIM.: 19106010006  (2023) ANALISIS REGRESI NONPARAMETRIK DENGAN METODE CUBIC SPLINE DAN B-SPLINE (STUDI KASUS: FAKTOR-FAKTOR YANG MEMPENGARUHI INDEKS PEMBANGUNAN MANUSIA DI INDONESIA PADA TAHUN 2021-2022).  Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.   
document_url: https://digilib.uin-suka.ac.id/id/eprint/56780/1/19106010006_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
document_url: https://digilib.uin-suka.ac.id/id/eprint/56780/2/19106010006_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf