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Live public record · August 18, 2026

Applied Statistics

An open, executable methods library connecting estimands, derivations, software parity, diagnostics, identification boundaries, and defensible communication.

Status
Live public record
Topics
statistics · econometrics · open education · reproducibility
Boundary
The linked artifact documents the current public release. Research findings require their own paper or dataset record.

Version 0.1 is one complete vertical slice rather than an empty curriculum shell. Its two-group inference module provides purpose-based Learn it / Run it / Defend it / Teach it routes; compares pooled, Welch, and binary OLS with HC2; and mechanically verifies the exact coefficient and standard-error equivalences.

The module keeps estimation separate from identification. Its browser lab defaults to descriptive language for observational assignment and makes causal wording conditional on the design that would support it.

The evidence base includes a deterministic synthetic fixture and an archived, attributed World Bank public-data case comparing 2024 life expectancy across low-income and upper-middle-income economies. JavaScript, Python, R, and Julia implementations are executed in the release gate. Excel and Stata versions are not claimed because they are not yet included and mechanically tested.

Question

How much can one observation change a fitted line and its uncertainty?

Add, move, or remove observations. The fitted line, confidence band, slope, robust standard error, and R² update together.

Editable least-squares scatterplotNine initial points on axes labeled Illustrative x and Illustrative outcome, with a fitted line and confidence band. Pointer users can add or drag points; equivalent add, remove, and reset buttons follow the figure.Illustrative xIllustrative outcome
The axes are illustrative. Pointer: select empty space to add a point, drag a point to move it, or select a point without dragging to remove it. Keyboard: use the controls below to add a tail point, remove the last point, or restore the fixture.

n=9 · fitted slope 3.33 per 10 horizontal units · robust slope SE (HC1) 0.22 · R² 0.94 · shaded area: conventional 95% confidence band for the fitted mean