Advanced methods for outlier detection are important for semiconductor manufacturing. There are three main categories of outlier detection: statistical process control using control charts, supervised learning using labeled training data, and unsupervised learning using unlabeled data to find unknown anomalies. Part average testing and dynamic part average testing are key tools that compare individual devices to averages to find outliers. Outlier analysis plays a critical role in semiconductor yield monitoring systems by providing insights into process deviations affecting manufacturing yield. Semiconductor data is crucial for effective analytics and outlier detection.