Correct definition of nu and assign lower value for sigma_low

[hyosubkim]

• 1 should be added to nu_minus_one using pm.Deterministic, otherwise addition of 1 in old definition has no effect and hence probability was non-zero for values of nu that are less than one
• Added definition and figure panel for log10(nu) to better align with Kruschke 2013
• Lowered sigma_low value to 10^-1 because sigma values less than 1 are credible (as seen for Group 2 Std Dev in Fig 3 from Kruschke 2013)

With suggested changes, results will more closely align with Kruschke paper, which example is based on.

{Insert Description}

• Notebook follows style guide https://docs.pymc.io/en/latest/contributing/jupyter_style.html
• PR description contains a link to the relevant issue: a tracker one for existing notebooks or a proposal one for new notebooks
• Check the notebook is not excluded from any pre-commit check: https://github.com/pymc-devs/pymc-examples/blob/main/.pre-commit-config.yaml

Helpful links

• https://github.com/pymc-devs/pymc-examples/blob/main/CONTRIBUTING.md

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[OriolAbril]

Thanks, can you run pre-commit?

It should be something like:

pip install pre-commit # or conda or local install
pre-commit run --all

which should update the .myst.md file. Then commit and push and all checks should pass hopefully

[hyosubkim]

I did as suggested and pushed the changes. Hope it went through okay this time.

[OriolAbril]

Thanks! This got both CI jobs to pass

[hyosubkim]

Great! Thanks again for your help