Inferential Analysis with Vectors & Matrices

I am working with data that is already organised as vectors and matrices, and I need the inferential statistics completed on this structure rather than converting everything into flat tables. Your role is to decide on the most suitable tests, implement them, and interpret the findings so I can make evidence-based conclusions.

The data and a short description of the research questions will be shared as soon as we start. I am open to the tool you prefer—Python with NumPy/SciPy, R with matrix algebra packages, or MATLAB—all are fine as long as the results are reproducible.

Deliverables I will look for:
• Clean, well-commented code or notebook that runs end-to-end on my dataset
• A short technical note outlining the tests performed, assumptions checked, and key results
• Clear interpretation in plain language that I can drop straight into my report

Accuracy and transparency are essential; every step must be traceable back to the underlying vector-matrix operations. If you enjoy squeezing insight out of linear-algebra-friendly data, let’s get started.