The Comparison of Single and Double Exponential Smoothing Models in Predicting Passenger Car Registrations in Canada

Ansari Saleh Ahmar; Sitti Masyitah Meliyana; Miguel Botto-Tobar; Rahmat Hidayat

doi:10.35877/454RI.daengku2639

Authors

Ansari Saleh Ahmar Department of Statistics, Universitas Negeri Makassar, Makassar, 90223, Indonesia
Sitti Masyitah Meliyana Department of Statistics, Universitas Negeri Makassar, Makassar, 90223, Indonesia
Miguel Botto-Tobar (1) Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands; (2) Research Group in Artificial Intelligence and Information Technology, University of Guayaquil, 090510, Guayaquil, Ecuador
Rahmat Hidayat Department of Information Technology, Politeknik Negeri Padang, Limau Manis, Padang, 25164, Indonesia

DOI:

https://doi.org/10.35877/454RI.daengku2639

Keywords:

Single Exponential Smoothing, Double Exponential Smoothing, Passenger Car

Abstract

This study aims to compare the two main variants of exponential smoothing methods in the context of business forecasting: Single Exponential Smoothing (SES) and Double Exponential Smoothing (DES). In this study, we applied these three methods to the data on Monthly Passenger Car Registrations in Canada from 2019 to 2022. The performance of each method was evaluated using Root Mean Square Error (RMSE) as the primary metric. The analysis results showed that Single Exponential Smoothing (SES) produced the best performance with the lowest RMSE of 13.07859 for an alpha of 0.6, compared to DES, which yielded higher RMSE values. These findings indicate that although DES have the capability to handle trends and seasonality, in some cases, especially when the data has single fluctuations without significant seasonal patterns or trends, SES can provide more accurate forecasting results. This study provides valuable insights for practitioners in selecting the most appropriate forecasting method based on the characteristics of the data at hand.

References

Baharaeen, & A. S. Masud. (1986). A computer program for time series forecasting using Single and double exponential smoothing techniques. Comput. Ind. Eng., 11(1–4), 151–155.
Hyndman, R.J., & Athanasopoulos, G. (2018). Forecasting: principles and practice. OTexts.
Makridakis. (1999). Metode dan Aplikasi Peramalan. Jakarta: Erlangga.
Montgomery, D. C., Jennings, C. L., & Kulahci, M. (2008). Introduction to Time Series Analysis and Forecasting. New Jersey : John Wiley & Sons.Inc.
Nazim, A. & Afthanorhan, A. (2014). A comparison between single exponential smoothing (SES), double exponential smoothing (DES), holt’s (brown) and adaptive response rate exponential smoothing (ARRES) techniques in forecasting Malaysia population. Global Journal of Mathematical Analysis, 2 (4), 276-280.
Rachman, R.(2018). Penerapan Metode Moving Average Dan Exponential Smoothing Pada Peramalan Produksi Industri Garment. J. Inform., 5, (2), 211–220. doi: 10.31311/ji.v5i2.3309.
Primandari A. H. & Kartikasari M. K. (2020). Analisis Runtun Waktu dengan R. Sleman, D. I. Yogyakarta: Prodi Statistika Universitas Islam Indonesia.