Partial autocorrelation
As you might expect from the name, partial autocorrelation is related to autocorrelation, but there are some subtle differences. Partial means that this is a conditional sort of correlation. In essence, partial autocorrelation measures the correlation of a series with itself at a certain lag after subtracting off any autocorrelations at intermediate lags. You could think of this as the leftover autocorrelation after intermediate correlations have been removed.
The reason that we might want something like this is that we need more than just the ACF to determine the order of our time series model, assuming that it can be modeled by an auto-regressive model. Let's suppose that, using the ACF, we have determined that we ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Read now
Unlock full access