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Original examples

Variance estimation for nearly equal large values

Compare a raw second-moment formula, Welford accumulation, and statistics.pvariance on five large observations with an exact population variance of two.

Proposed original example. Source release and any execution are separate steps.

A QUESTION TO TAKE FURTHER

How does cancellation affect variance calculations when location is much larger than spread?

Use exact rational centered deviations as the reference, keeping population and sample variance definitions distinct.

What you could produce

  • A scoped observations JSON record and a comparison with the stated reference.

Before you use it

  • Python 3.13 standard library

Limits to keep in view

  • No research code was executed by the preparation tool.
  • Author output cannot issue an independent scientific-verification result.

Source and permission context

Original local preparation by the Executable Science seed collection; upstream API references remain separately attributed.

Rights need review. Review the scope and upstream conditions before reuse.

Still unresolved

  • Proposed local-draft licenses: original code MIT, explanations CC-BY-4.0, synthetic numeric data CC0-1.0; publication/disclosure approval remains separate.

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