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interpret-results

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Writes academic prose interpreting regression output. Use when describing estimation results in manuscript-ready language.

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Source SKILL.md: https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/blob/HEAD/skills/29-quarcs-lab-project20XXy/dot-claude/skills/interpret-results/SKILL.md

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Interpret Regression Results

Write academic prose interpreting estimation output, suitable for pasting into index.qmd.

Arguments

  • $ARGUMENTS — regression output (pasted directly), or a notebook cell reference (e.g., "notebook-02#tbl-main-regression")

Steps

  1. Parse the regression output:

    • If a notebook cell reference is provided, read that notebook and extract the output from the specified cell
    • If output is pasted directly, parse the coefficients, standard errors, significance levels, and fit statistics
  2. Identify key elements:

    • Dependent variable
    • Key independent variable(s) of interest (vs. controls)
    • Significance levels and confidence intervals
    • R-squared, N, F-statistic
    • Fixed effects or clustering used
  3. Draft 1–3 paragraphs of academic prose covering:

    • Statistical significance: Which coefficients are significant at which levels
    • Direction and magnitude: Sign and size of key coefficients, in interpretable units
    • Economic significance: What the coefficient means in practical terms (e.g., "a one standard deviation increase in X is associated with a Y% change in the outcome")
    • Comparison across specifications: If multiple columns, note how results change with additional controls or FE
    • Robustness: Note whether results are stable across specifications
  4. Use appropriate academic hedging language:

    • "The results suggest..." / "We find evidence consistent with..."
    • "The coefficient is statistically significant at the 5% level"
    • "The point estimate implies that..."
    • Avoid causal language unless the identification strategy supports it
  5. Format the output for index.qmd:

    • Use Quarto cross-references where appropriate (e.g., "as shown in @tbl-main-regression")
    • Include parenthetical references to table columns (e.g., "Column (3)")
    • Note: use plain prose for cross-references to embedded content to avoid Quarto crossref warnings
  6. Present the draft to the user for review. Do not insert into index.qmd without approval.

Error handling

  • If the output format is not recognized, ask the user to clarify which values are coefficients, SEs, and significance indicators.