by
Thomas Metcalf, Demand Media
Decomposition
forecasting is a proven way to develop more accurate forecasts.
Decomposition
is a forecasting technique that separates or decomposes historical data into
different components and uses them to create a forecast that is more accurate
than a simple trend line. By forecasting each component separately before
combining them, you can assess the importance of each and emphasize or discount
them according to changing market or economic conditions.
Forecasting With Trend Line
The
easiest way to forecast any variable is to simply extend a trend line based on
historical data. Whether you accomplish this manually with regression analysis
or by using a spreadsheet such as Excel, you can establish a trend and extend
it into the future. The shortcoming of this method is that it fails to take into
account predictable fluctuations around the trend. For example, you might
forecast a retail sales projection of 8 percent for next year based on
historical information, but if you are looking at fourth-quarter sales, when
most of your business occurs, you would be missing the mark if you did not
account for the seasonal variation.
Decomposition Approach
The
decomposition approach to forecasting recognizes that a forecast cannot be
completed unless you include all components of historical data. Although the
components may vary, depending on what variable you are forecasting, you might
include a long-term underlying trend line, a cyclical variation such as a
business cycle, which would fluctuate around the trend, and a seasonal
variable, which could be based on weather or holiday consumer activity.
Depending on the variable you are attempting to forecast, you could even
include a weekly variable.
Decomposing Historical Data
To
illustrate how decomposition forecasting works, consider projecting retail
sales as an example. For simplification, assume the only variable applied to
the long-term trend is a seasonal component. You can create the trend line
using regression analysis. To determine the seasonal component, using your
historical data, divide the actual value of sales by the trend value at that
point. After you complete this for all of your historical data sets, you can
compute an average for each of the four seasons to derive seasonal factors. To
project sales for the fourth quarter, multiply the projected trend value for
that future quarter by the seasonal factor. The projection you compute with
this method is more accurate than using the trend line alone.
Expanding the Model
The
formula for forecasting sales is R = ST, in which "R" equals sales
revenue, "S" equals the seasonal component and "T" is the
underlying trend line. The model can be expanded to include other components,
such as a cyclical component. Obviously, the more components, the more
difficult the computations, and that is when a program such as Excel comes in
handy. As with all forecasting models, it is up to you to interpret and explain
the significance of the data you use.
Source : http://smallbusiness.chron.com/decomposition-approach-forecasting-81131.html
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