Hello pjy1006,
Outlier detection in time series modeling (and in other types of modeling) is an art rather than science. If you are using outlier detection facility of PROC ARIMA (the OUTLIER statement) and PROC ESM then you are already on the right track. Since you want to know if there are additional facilities in SAS/ETS I am going to suggest PROC UCM (for a quick illustration, see SAS Help Center: Detection of Level Shift). The outlier detection technology behind ARIMA and UCM is very similar. Outlier detection often requires iterative steps. One starts with a reasonable baseline model and adjusts the model based on the most obvious breaks that are detected. This adjusted model becomes the new baseline. For UCM setting I will suggest the following types of initial baseline models. Suppose your input data set is test, your response series is y, and you already know external variables X1 and X2 affect y.
Case 1: Your series does not have an obvious trend.
PROC UCM data=test;
model y=x1 x2;
level variance=0 noest checkbreak;
irregular;
run;
Case 2: Your series does have some type of movement:
PROC UCM data=test;
model y=x1 x2;
level variance=0 noest checkbreak;
slope;
irregular;
run;
Case 3: Your series is seasonal with season length slength:
PROC UCM data=test;
model y=x1 x2;
level variance=0 noest checkbreak;
slope;
season length=slength type=trig;
irregular;
run;
Depending on the length of the series and the inherent noise, you may have to adjust the alpha levels for additive outlier and level shift detections (see SAS Help Center: OUTLIER Statement ).
For more general outlier detection and general logic behind this type of outlier detection you can see Detecting and Adjusting Structural Breaks in Time Series and Panel Data Using the SSM Procedure (sas...
Hope this helps.
