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Application of Robust Regression in Body Fat Percentage<br />

Tee Xing Yi<br />

Supervisor: Assoc. Prof. Dr. Norizan Binti Mohamed<br />

Bachelor of Science (Financial Mathematics)<br />

School of Informatics and Applied Mathematics<br />

In regression model, the dataset which contaminated with outliers can bring a big<br />

distortion to Ordinary Least Squares (OLS) estimator and bring an unstable or unreliable<br />

result. An outlier is a point which lies far away from others in a random population sample.<br />

If a model successful to fit the data then it will extremely useful in multiple regression<br />

model. In this research, we introduce a robust regression estimator to detect outliers in<br />

a contaminated dataset and provide a reliable result which has different type of<br />

estimators that can be used in investigating the relationship between two or more<br />

variables such as M estimator, S estimator, MM estimator and LTS estimator. Besides<br />

that, the efficiency of estimators will be analysed and we expect that the robust M<br />

estimation is an alternative approach in dealing with outliers in a real life dataset and<br />

provide a resistant result.<br />

900 | UMT UNDERGRADUATE RESEARCH DAY 2018

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