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Future outlook of Sri Lankan Textile and Apparel exports: A comparison of Time Series Models

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Student Name : J.A Rashmi Nishani

Student ID : AS2018470

Group : Standard Deviators

Module : STA 351 2.0 Research Methodology

Lecturer in charge : Dr. Neluka Devpura

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Objectives

  • To forecast the Textile and Apparel exports in Sri Lanka from Aug 2021-July 2022.
  • To investigate the accuracy of time series models for forecasting Apparel and Textile exports in Sri Lanka.
  • To investigate the effect of COVID 19 on Textile and Apparel exports in Sri Lanka.
  • To have a foresight of the textile and apparel exports for successful operations in the industry.

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Significance of the Study

  • There are three primary groups that benefit from this study.

* T&A exporters

* Policymakers

* Investors

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Data

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  • Secondary data
  • Monthly data on exports(US$. Million) of textile and apparel industry from 2004(January) to 2021(July)
  • Data Source : Joint Apparel Association Forum Sri Lanka (JAAFSL).

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T&A Exports in Sri Lanka (2004 January - 2021 July)

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T&A Exports in Sri Lanka (2009 January - 2019 December)

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Methodology

Upward Trend and Seasonality

Seasonal Autoregressive Integrated Moving Average (SARIMA) model

Holt-Winters Exponential Smoothing technique

Additive

Multiplicative

Box-Ljung Test

Box-Ljung Test

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Measures of Accuracy

  • MAD (Mean Average

Deviation)

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  • MAPE (Mean Average

Percentage Error)

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Data Analysis

Training Set(Model Fitting) : 2009 January - 2017 December

Testing Set(Model accuracy testing) : 2018 January - 2019 December

  • Used R programming Language.
  • Seasonal Autoregressive Integrated Moving Average (SARIMA) model.
  • Seasonal Autoregressive Integrated Moving Average(SARIMA) model is projected only for stationary series.

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Data Analysis - Original Series

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Data Analysis - Original Series

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Data Analysis - Log Transformed Series

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Data Analysis - Log Transformed Series

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Data Analysis - Seasonal Differencing

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Data Analysis - lag 1 Differencing

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SARIMA Models

ARIMA

(0,1,2)(0,1,2)12

Box – Ljung test is performed on the fitted SARIMA models to validate the assumptions of the residuals.

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Holt-Winters’ Exponential Smoothing

  • Holt Winters’ exponential smoothing method with multiplicative seasonality, provides a model with large AIC and BIC values.
  • Variance is stabilized by log transforming.

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  • Box – Ljung test is performed.
  • AIC and BIC values for the training test.

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AIC

AIC adjusted

BIC

27.26088

34.06088

72.85712

Parameter

α

β

γ

Estimated Value

0. 3466

0.0004

0.0001

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SARIMA & Holt-Winters’ Exponential Smoothing

Model

MAD

MAPE

ARIMA(0,1,2)(0,1,2)12

21.00993

4.814466

Holt Winters Exponential smoothing with α=0. 3466, β=0.0004 and γ=0.0001

19.39997

4.522666

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Key Findings

  • Best Model

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Holt Winters Exponential smoothing

with α=0. 3466,

β=0.0004 and

γ=0.0001

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Key Findings

  • Forecasted Textile and Apparel Exports from August 2021 - July 2022

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Key Findings

  • COVID-19 effect on T&A Exports, Sri Lanka

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Conclusion

  • Generally, SARIMA models are more accurate than other time series forecasting methods.
  • This study suggested that Holt Winters’ Exponential Smoothing model can be used to provide more accurate forecasts than the obtained ARIMA model.
  • Holt Winters Exponential Smoothing models are more feasible and less time consuming than ARIMA models.
  • Therefore, Holt Winters model were suggested as the adequate and efficient model to forecast apparel exports in Sri Lanka.

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Contribution

T & A Exporters

Policy Makers

Further Research

  • Latest techniques, machinery and chemicals
  • Fair wage for the employees
  • Facilitate the processing of raw materials in Sri Lanka
  • Investigate the relationship among other factors.
  • Provide alternative methods to assess the impact on the exports.

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Thank You !