Raw time series data is often chaotic. Smoothing techniques like moving averages allow us to suppress randomness and focus on the underlying trend.
1The Rolling Window (SMA)
A Simple Moving Average (SMA) is the most intuitive smoothing technique. It takes the mean of the values within a fixed 'window' of time (e.g., the last 7 days). This effectively 'filters out' short-term volatility. The larger the window, the smoother the line, but also the greater the Lagβthe delay between a real-world change and that change appearing in the moving average.
2Exponential Weighting (EMA)
Unlike the SMA, which treats all days in the window equally, the Exponential Moving Average (EMA) applies weights that decrease exponentially over time. This means the most recent data points have the most influence on the average. EMAs are widely used in financial trading because they react more quickly to price reversals while still providing a smoother signal than raw data.
3Choosing Your Window
Selecting a window size is a delicate balance. A Small Window (e.g., 3-5 periods) is highly responsive to new information but may capture too much noise. A Large Window (e.g., 50-200 periods) provides a very stable trend but can be significantly lagged, potentially missing a trend reversal until it's too late. The 'correct' window depends entirely on the frequency of your data and the goals of your analysis.
