The formula to calculate the Average Seasonal Variation (ASV) is:
\[ \text{ASV} = \frac{\text{TSV}}{\text{N}} \]
Where:
Let's say the total seasonal variation (TSV) is 120 units and the number of seasons (N) is 4. Using the formula:
\[ \text{ASV} = \frac{120}{4} = 30 \, \text{units} \]
So, the average seasonal variation is 30 units.
Definition: The seasonal ratio is the ratio of the actual value to the average value for a specific season.
Formula: \( \text{Seasonal Ratio} = \frac{\text{Actual Value}}{\text{Average Value}} \)
Example: \( \text{Seasonal Ratio} = \frac{120}{100} \)
Definition: The average seasonal index is the average of the seasonal indices for a specific period.
Formula: \( \text{Average Seasonal Index} = \frac{\sum \text{Seasonal Indices}}{\text{Number of Seasons}} \)
Example: \( \text{Average Seasonal Index} = \frac{4.5}{3} \)
Definition: Seasonally adjusted data is the data that has been modified to remove the effects of seasonal variation.
Formula: \( \text{Seasonally Adjusted Data} = \frac{\text{Actual Data}}{\text{Seasonal Index}} \)
Example: \( \text{Seasonally Adjusted Data} = \frac{150}{1.2} \)
Definition: Seasonal variation in time series is the fluctuation in data values that occurs at regular intervals due to seasonal factors.
Formula: \( \text{Seasonal Variation} = \text{Actual Value} - \text{Trend Value} \)
Example: \( \text{Seasonal Variation} = 200 - 180 \)
