From 4f2e724e714b964bc654f4637b512cd8d0bf24d7 Mon Sep 17 00:00:00 2001 From: dadams Date: Wed, 25 Feb 2026 12:56:33 -0800 Subject: [PATCH] Add hypotheses summary table (Table 6) Markdown cell summarizing all 9 hypothesis tests with predictions, key coefficients, and support status including footnotes for H2 diminishing-returns finding, H3 multicollinearity caveat, and H4 level-vs-slope distinction. Co-Authored-By: Claude Sonnet 4.6 --- texas_inspection_expenses.ipynb | 29 +++++++++++++++++++++++++++++ 1 file changed, 29 insertions(+) diff --git a/texas_inspection_expenses.ipynb b/texas_inspection_expenses.ipynb index 3336798..643a7df 100644 --- a/texas_inspection_expenses.ipynb +++ b/texas_inspection_expenses.ipynb @@ -3037,6 +3037,35 @@ "levels but not budget sensitivity, and spatial autocorrelation diagnostics provide no\n", "evidence of unmodeled geographic spillover processes.\n" ] + }, + { + "cell_type": "markdown", + "id": "90c60ad1", + "metadata": {}, + "source": [ + "## Hypotheses Summary\n", + "\n", + "**Table 6. Summary of Hypotheses, Predictions, Findings, and Empirical Support**\n", + "\n", + "| # | Hypothesis | Prediction | Key Result | Support |\n", + "|:---:|---|---|---|:---:|\n", + "| **H1a** | Capacity → Inspection volume | Higher OGI budget predicts more inspections per district | β = 666.3 inspections per $1M (z = 3.13, p < .01); R² = .769 | ✓ |\n", + "| **H1b** | Capacity → Compliance | Higher OGI budget predicts higher district compliance rate | β = 0.26 pp per $1M (z = 2.31, p = .02); R² = .538 | ✓ |\n", + "| **H1c** | Capacity → Resolution | Higher OGI budget predicts higher violation resolution rate | β = 1.05 pp per $1M (z = 3.28, p < .01); R² = .624 | ✓ |\n", + "| **H2a** | Goal ambiguity moderates capacity → compliance | Clearer inspection focus amplifies budget effect | Interaction significant but **negative** (β = −6.53, z = −3.55, p < .01): higher inspection share produces diminishing, not amplified, returns | Partial† |\n", + "| **H2b** | Goal ambiguity moderates capacity → resolution | Clearer inspection focus amplifies budget effect | Interaction not significant (p = .24) | ✗ |\n", + "| **H3** | District heterogeneity in budget slopes | Budget → compliance slope varies across districts | Point estimates range from −0.34 pp/$1M (D03) to +1.36 pp/$1M (D6E); inference unreliable due to multicollinearity | Descriptive only‡ |\n", + "| **H4a** | Offshore jurisdiction moderates budget effect | Offshore districts show different budget → compliance slope | Level effect significant (+7.6 pp, p = .02); slope interaction not significant (β = −0.03, p = .87) | Partial§ |\n", + "| **H4b** | Border proximity moderates budget effect | Border districts show different budget → compliance slope | Level effect significant (+6.0 pp, p = .03); slope interaction marginal (β = −0.25, p = .08) | Partial§ |\n", + "| **H4c** | Spatial autocorrelation in residuals | Geographic spillovers produce clustered residuals | Moran's I = −0.051; no significant spatial autocorrelation | ✗ |\n", + "\n", + "*Notes:*\n", + "*† H2 moderation operates through a diminishing-returns mechanism rather than amplification. At mean inspection budget share (≈ 0.62), the implied marginal budget effect on compliance is approximately 0.15 pp per $1M.*\n", + "*‡ H3 interaction standard errors are unreliable (near-perfect multicollinearity in the saturated model); budget slopes are reported as descriptive point estimates only.*\n", + "*§ Geographic classification predicts compliance **levels** but not budget sensitivity. Offshore and border districts exhibit systematically higher compliance regardless of annual budget variation.*\n", + "\n", + "**Regression sample:** N = 104 (13 districts × 8 years, 2016–2023). All models include district fixed effects; standard errors clustered at the district level.\n" + ] } ], "metadata": {