What is an additive model?

A data model in which the effects of individual factors are differentiated and added together to model the data. They occur in several Minitab commands:
  • An additive model is optional for Decomposition procedures and for Winters' method.
  • An additive model is optional for two-way ANOVA procedures. Choose this option to omit the interaction term from the model.

What is a multiplicative model?

This model assumes that as the data increase, so does the seasonal pattern. Most time series plots exhibit such a pattern. In this model, the trend and seasonal components are multiplied and then added to the error component.

Should I use an additive model or a multiplicative model?

Choose the multiplicative model when the magnitude of the seasonal pattern in the data depends on the magnitude of the data. In other words, the magnitude of the seasonal pattern increases as the data values increase, and decreases as the data values decrease.

Choose the additive model when the magnitude of the seasonal pattern in the data does not depend on the magnitude of the data. In other words, the magnitude of the seasonal pattern does not change as the series goes up or down.

If the pattern in the data is not very obvious, and you have trouble choosing between the additive and multiplicative procedures, you can try both and choose the one with smaller accuracy measures.

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