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Add effective take-up rate analysis plan (#1354)#1728

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Add effective take-up rate analysis plan (#1354)#1728
vahid-ahmadi wants to merge 1 commit into
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vahid-ahmadi/issue-1354-takeup-analysis-plan

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Summary

Test plan

  • Markdown lints cleanly (table, cross-refs).
  • Docs build job picks up the new page under assumptions/.

🤖 Generated with Claude Code

#1354 asks for a comprehensive analysis of how the data processing
pipeline changes effective take-up rates away from the seed values.
The initial analysis (Max's gist) covers UC and CTC; the issue asks
to extend that to every benefit.

Persist the methodology in-repo so the analysis is repeatable and the
per-programme target list is stable.

The page enumerates 17 programmes with current take-up handling status
(modern input-only pattern for UC/PC; legacy formula-derived for
HB/IS/WTC/CTC pending the #1621 fix; reported-only for disability
benefits; no take-up step at all for State Pension and CTR), the
methodology (seed rate -> effective post-pipeline rate -> published
outturn share -> drift), and proposes a docs/book/validation/take-up-rates.ipynb
deliverable.

Cross-links to the pipeline-alignment plan because the
assign_takeup_with_reported_anchors port from policyengine-us-data is
the most likely systematic source of seed-vs-effective drift, and
landing it changes the numbers this analysis would produce.
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