Examples of Seasonal Adjustment in Time Series

Discover practical examples of seasonal adjustment in time series analysis.
By Jamie

Understanding Seasonal Adjustment in Time Series

Seasonal adjustment is a statistical method used to remove the effects of seasonal variations in data, allowing analysts to observe underlying trends and patterns more clearly. This is particularly important in time series analysis, where data is collected at regular intervals over time, such as monthly sales figures or quarterly economic indicators. By adjusting for seasonality, we can make more accurate comparisons and predictions. Here, we explore three diverse examples of seasonal adjustment in time series.

Example 1: Monthly Retail Sales Data

Context

A retail company tracks its monthly sales data to understand performance and make inventory decisions. Sales figures typically increase during the holiday season, which skews the overall trends.

The company decides to apply seasonal adjustment to its data to better analyze underlying sales trends throughout the year.

Monthly Sales Data (in thousands):

  • January: 80
  • February: 60
  • March: 70
  • April: 75
  • May: 90
  • June: 100
  • July: 120
  • August: 110
  • September: 85
  • October: 95
  • November: 150
  • December: 180

Seasonally Adjusted Data:

  • January: 70
  • February: 55
  • March: 65
  • April: 70
  • May: 85
  • June: 95
  • July: 110
  • August: 100
  • September: 80
  • October: 90
  • November: 130
  • December: 160

Notes

This adjustment reveals that the overall sales trend is less volatile than it appears when considering raw data. The company can now make better inventory decisions based on the adjusted figures.

Example 2: Quarterly GDP Growth Rates

Context

An economist examines quarterly GDP growth rates to evaluate economic performance over time. Quarterly data can be affected by seasonal factors like holiday shopping or weather, leading to misinterpretation of the economic health if unadjusted.

The economist applies seasonal adjustment to the GDP growth rates to gain clearer insights into economic trends.

Quarterly GDP Growth Rates (%):

  • Q1: 2.5
  • Q2: 3.0
  • Q3: -1.0
  • Q4: 2.0

Seasonally Adjusted Growth Rates:

  • Q1: 2.0
  • Q2: 2.8
  • Q3: 0.5
  • Q4: 2.1

Notes

The seasonal adjustment smooths out the fluctuations, enabling the economist to focus on the underlying trend in economic growth rather than being misled by seasonal spikes or drops.

Example 3: Monthly Unemployment Rates

Context

A governmental labor department monitors monthly unemployment rates to formulate policies and provide public reports. However, unemployment rates often exhibit seasonal fluctuations due to factors like holiday hiring and seasonal jobs.

To provide a clearer picture of the labor market, the department applies seasonal adjustment to the unemployment data.

Monthly Unemployment Rates (%):

  • January: 6.5
  • February: 6.2
  • March: 5.8
  • April: 5.5
  • May: 5.3
  • June: 4.8
  • July: 4.9
  • August: 5.1
  • September: 5.4
  • October: 5.6
  • November: 6.0
  • December: 7.0

Seasonally Adjusted Unemployment Rates:

  • January: 6.3
  • February: 6.0
  • March: 5.6
  • April: 5.4
  • May: 5.2
  • June: 4.7
  • July: 4.8
  • August: 5.0
  • September: 5.3
  • October: 5.5
  • November: 5.9
  • December: 6.5

Notes

With the adjusted figures, the labor department can better identify trends in unemployment that are not merely the result of seasonal hiring patterns, allowing for more effective policy decisions.