Applied Mathematical Sciences, Vol. 15, 2021, no. 9, 471 - 479 HIKARI Ltd, www.m-hikari.com https://doi.org/10.12988/ams.2021.914521 Error-in-Variables Model of Malacca Wind Direction Data with the von Mises Distribution in Southwest Monsoon Nurkhairany Amyra Mokhtar 1,* , Basri Badyalina 1 , Kerk Lee Chang 1 , Fatin Farazh Ya’acob 2 , Ahmad Faiz Ghazali 1 and Palaniappan Shamala 1 1 Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Cawangan Johor Kampus Segamat, 85000 Segamat, Johor, Malaysia * Corresponding author 2 Faculty of Business and Management, Universiti Teknologi MARA Cawangan Johor Kampus Segamat, 85000 Segamat, Johor, Malaysia This article is distributed under the Creative Commons by-nc-nd Attribution License. Copyright © 2021 Hikari Ltd. Abstract Wind direction is an important aspect to be analysed to forecast the weather. In this study, we statistically investigate the relationship of wind direction data in Malacca, Malaysia during southwest monsoon in the year 2019 and 2020. The circular nature of wind direction requires the data to be analysed differently from linear data. We model wind direction data with the von Mises distribution by using an Error-in- Variables model, particularly functional relationship model. The goodness-of-fit of the data is supported by the QQ plots. The parameters of the model are estimated with maximum likelihood estimation and the covariance of the parameters are obtained by using Fisher Information matrix. The results show that the wind direction data in Malacca has a rotation parameter of 0.37348 with the concentration parameter of the error of 1.56960. The information of this study may be used for a better understanding in the prediction of wind energy. Keywords: wind direction; von Mises distribution; circular data; statistical modelling