Update analysis utility functions

[ezuetell]

Improvements to functionality, structure, and validation. May cause some backwards compatibility issues with existing analysis notebooks.

[codecov-commenter]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 80.95%. Comparing base (ae9ce36) to head (2abb7bd).

Additional details and impacted files

@@           Coverage Diff           @@
##             main      #67   +/-   ##
=======================================
  Coverage   80.95%   80.95%           
=======================================
  Files           3        3           
  Lines          84       84           
=======================================
  Hits           68       68           
  Misses         16       16           

☔ View full report in Codecov by Harness.
📢 Have feedback on the report? Share it here.

🚀 New features to boost your workflow:

• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.

[brews]

This is failing CI for a number of reasons. I'm guessing because the branch for this PR is using an out-of-date version of the dev dependencies. @ezuetell, could you merge or rebase from the latest version of main into your branch, then rerun ruff check and ruff format (or the appropriate just commands) to ensure they use the latest version?

Edit: Actually, I just looked at the git log/graph. Maybe you just need to run ruff format and ruff check to clean this up.

[review-notebook-app]

Check out this pull request on 

See visual diffs & provide feedback on Jupyter Notebooks.

---

Powered by ReviewNB

[brews]

That is looking better, @ezuetell. Thank you. If you can get the files you're changing as part of this PR checked/fixed/formated that's good enough for me.