PERBANDINGAN REGRESI ORDINARY LEAST SQUARE (OLS) DAN REGRESI TOBIT UNTUK MENGANALISIS FAKTOR YANG MEMPENGARUHI KEJADIAN HIV/AIDS DI KABUPATEN NGANJUK
Some studies prove that the ordinary least square model is not applicable if multiple linear regression problem meets censored response variable data. If OLS remains in use, it will produce biased and inconsistent estimation of parameters. To overcome this issue Tobit regression model is applied,...
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| Format: | Theses and Dissertations NonPeerReviewed |
| Language: | English Indonesian |
| Published: |
2016
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| Subjects: | |
| Online Access: | http://repository.unair.ac.id/45474/1/ABSTRAK.pdf http://repository.unair.ac.id/45474/13/TKM.10-16%20Asr%20p.pdf http://repository.unair.ac.id/45474/ http://lib.unair.ac.id |
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| Institution: | Universitas Airlangga |
| Language: | English Indonesian |
| Summary: | Some studies prove that the ordinary least square model is not applicable if
multiple linear regression problem meets censored response variable data. If OLS
remains in use, it will produce biased and inconsistent estimation of parameters.
To overcome this issue Tobit regression model is applied, where Maximum
Likelihood Estimation (MLE) method is used to estimate parameters. The purpose
of this study to compared the OLS regression and Tobit regression model to
analyzed the factors that influence the occurrence of HIV/AIDS in Nganjuk into
comparison criteria used MSE and R-Square.
The type of design used non-reactive, performed on the data from 20 subdistricts
of Nganjuk Regency in 2015. The study used 7 variables, being included the
incidence of HIV/AIDS (Y), prostitutes (X1), homosexuals (X2), high risk age
15-19 years (X3), the high risk age 20-24 years (X4), high-risk age 25-49 years
(X5) and health facilities (X6).
The result showed, used the either OLS regression or Tobit model, variable X
significantly affects variable Y, while variables that in partial significantly affect
the incidence of HIV/AIDS are the prostitutes and homosexuals. Although the
equation Tobit model is the same as the OLS regression, but used the calculation
method of maximum likelihood in Tobit, parameter values for both variables
(prostitutes and homosexual) are greater than the value of the parameter obtained
by the OLS method. When viewed from the R-Square and MSEa, Tobit model is
better than OLS regression, because the value of R-Square OLS regression
(0.726393) is smaller than Tobit regression (0.881692), and the MSE of OLS
regression (1787, 55) greater than Tobit (1779.08).
Future studies are expected to raise the censored data in clustering data due to the
upper limit, or both, and to increase the number of variables with a broader scope
of research area, in order to obtain valid results. |
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