Just when you read the title, you probably rolled your eyes a little. Many teachers (and I used to be one of them) automatically reach for the aspirin when the mention of data collection comes up.
Merriam Webster has many definitions for rigor. Among the most relevant are:
What if STEM stood for something different? As you know, the actual acronym stands for Science, Technology, Engineering, Math, but aside from content, the concept encompasses many more