Mathematics and Statistics Vol. 8(2A), pp. 36 - 39
DOI: 10.13189/ms.2020.081306
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Robust Method in Multiple Linear Regression Model on Diabetes Patients

Mohd Saifullah Rusiman ^1,*, Siti Nasuha Md Nor ¹, Suparman ², Siti Noor Asyikin Mohd Razali ^1
1 Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia, Malaysia
² Department of Mathematics Education, Universiti of Ahmad Dahlan, Indonesia

ABSTRACT

This paper is focusing on the application of robust method in multiple linear regression (MLR) model towards diabetes data. The objectives of this study are to identify the significant variables that affect diabetes by using MLR model and using MLR model with robust method, and to measure the performance of MLR model with/without robust method. Robust method is used in order to overcome the outlier problem of the data. There are three robust methods used in this study which are least quartile difference (LQD), median absolute deviation (MAD) and least-trimmed squares (LTS) estimator. The result shows that multiple linear regression with application of LTS estimator is the best model since it has the lowest value of mean square error (MSE) and mean absolute error (MAE). In conclusion, plasma glucose concentration in an oral glucose tolerance test is positively affected by body mass index, diastolic blood pressure, triceps skin fold thickness, diabetes pedigree function, age and yes/no for diabetes according to WHO criteria while negatively affected by the number of pregnancies. This finding can be used as a guideline for medical doctors as an early prevention of stage 2 of diabetes.

KEYWORDS
Multiple Linear Regression, Least Quartile Difference (LQD), Median Absolute Deviation (MAD), Least-Trimmed Squares (LTS), Mean Square Error

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Mohd Saifullah Rusiman , Siti Nasuha Md Nor , Suparman , Siti Noor Asyikin Mohd Razali , "Robust Method in Multiple Linear Regression Model on Diabetes Patients," Mathematics and Statistics, Vol. 8, No. 2A, pp. 36 - 39, 2020. DOI: 10.13189/ms.2020.081306.

(b). APA Format:
Mohd Saifullah Rusiman , Siti Nasuha Md Nor , Suparman , Siti Noor Asyikin Mohd Razali (2020). Robust Method in Multiple Linear Regression Model on Diabetes Patients. Mathematics and Statistics, 8(2A), 36 - 39. DOI: 10.13189/ms.2020.081306.