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Which one of the following is correct? A time series data set with quarterly seasonality can be handled by:
A
Using three dummy variables
B
Using two dummy variables - one for each season
C
Deseasonalizing the data and then applying non-seasonal methods
D
All the three choices above are incorrect
Explanation:
When dealing with quarterly seasonality (4 seasons), the correct approach is to use (s - 1) dummy variables, where s is the number of seasons. For quarterly data (4 seasons), we need 3 dummy variables to avoid perfect multicollinearity (dummy variable trap). This is because if we include all 4 dummy variables, they would sum to 1 for every observation, creating perfect multicollinearity with the intercept term. Option B is incorrect because it suggests using only 2 dummy variables, which would not fully capture all seasonal patterns. Option C is incorrect because deseasonalizing data is a different approach, not the only correct method. Option D is incorrect because option A is correct.