[d-morrison]

Requested by Ezra · project thread

Before: a fitted model evaluated at an input had one form, the function applied to x (\emodmemf{x}, h-hat(x)), and \emodmemof{D} put a data set in the subscript. The average fit \avgfit printed h-bar, the bar that we also use for sample means.

After (Ezra, 2026-10-16):

• \emodmemat{x} prints h-hat with subscript x, and \emodmematf{x}{D} prints h-hat_x(D): the input is the subscript and the data set is in parentheses, to show that the randomness comes from the data set and x is a continuous index.
• \avgfit now prints \popmean_{\modmem}, μ_h, and \avgfitf{x} prints μ_h(x). It is the population mean over data sets of the indexed fit, a fixed function that nothing estimates, so it has no bar and no hat. The notes define it once as the expectation and then use the shorthand.

The indexed form is for derivations that average over data sets. Everywhere else the fitted function applied to x stays, as in ISL and ESL. \avgfit and \avgfitf keep their names, so uses in other repos change from h-bar to μ_h at the next pin bump.

How: macros.qmd and interpretations.tsv; main is merged in (it carries #175). A separate Claude agent reviewed the definitions before the \popmean change and found them clean; no human or bot review job has run on this PR.

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https://claude.ai/code/session_01DtHcRxruk5oMMZ7L45fytp

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[d-morrison]

The check job failed before any of this PR's content was built. quarto install tool tinytex got a 403 from GitHub when it asked for the latest rstudio/tinytex-releases release (job log). That is not caused by this PR's two macro definitions. I re-ran the failed job once.

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[github-actions]

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_{2026-10-16 18:13 UTC}

[d-morrison]

Separate-agent Claude review of head abb4e4c7e125a1df2c3f5793d7a22e98c3a53489 found no defects: syntax, dependencies (\popmean, \modmem, \est, \paren), name collisions, and a well-formed interpretations.tsv with the merged \etargetfn rows intact. Only Claude reviewed this PR; no non-Claude reviewer was available (OpenCode Go weekly limit). All five CI checks pass on this head. Merging on Ezra's /mwc 176 and his earlier "yes" that a separate-agent Claude review counts for macros.

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