Ethics data analysis involves the analysis of user research data through the lens of an ethical framework, and/or with a view to identifying potential ethical issues and tensions. This is still very much a new and undeveloped approach in HCI. Nevertheless, traditional qualitative methods can be used.
For example, conduct a qualitative analysis of user research data in which you specifically target evidence for potential ethical implications. For example, while a standard data analysis for a technology will often focus on categorizing needs and desirable features expressed by users, an ethics analysis of the same data will yield different themes focusing on potential ethical issues. These might be potential impact on family, ethical tensions to do with collecting/storing high-risk data, or with targeting. Either a top down (using an existing ethical framework for prescribed categories) or a bottom-up approach could be used.