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a9fc515 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 | """Model fitting helpers used across initiative pages.
All routines return small, consistent dataclasses so the page-side code
can render results uniformly.
"""
from __future__ import annotations
from dataclasses import dataclass, field
from typing import Iterable, Optional
import numpy as np
import pandas as pd
import statsmodels.api as sm
import statsmodels.formula.api as smf
# --------------------------------------------------------------------------
# Result containers
# --------------------------------------------------------------------------
@dataclass
class CoefRow:
term: str
coef: float
se: float
t: float
p: float
ci_low: float
ci_high: float
def as_dict(self) -> dict:
return self.__dict__
@dataclass
class FitResult:
"""Lightweight wrapper around a fitted statsmodels regression."""
coefs: pd.DataFrame
n_obs: int
n_clusters: Optional[int]
r2: Optional[float]
formula: str
raw: object = field(repr=False, default=None)
@classmethod
def from_results(cls, res, formula: str, *, raw_terms: Iterable[str] | None = None,
n_clusters: Optional[int] = None) -> "FitResult":
ci = res.conf_int()
rows = []
for term in res.params.index:
if raw_terms is not None and term not in raw_terms:
continue
rows.append(CoefRow(
term=term,
coef=float(res.params[term]),
se=float(res.bse[term]),
t=float(res.tvalues[term]),
p=float(res.pvalues[term]),
ci_low=float(ci.loc[term, 0]),
ci_high=float(ci.loc[term, 1]),
).as_dict())
coefs = pd.DataFrame(rows)
try:
r2 = float(res.rsquared)
except AttributeError:
r2 = None
return cls(coefs=coefs, n_obs=int(res.nobs), n_clusters=n_clusters,
r2=r2, formula=formula, raw=res)
# --------------------------------------------------------------------------
# Two-way fixed effects DiD / TWFE
# --------------------------------------------------------------------------
def fit_twfe(
df: pd.DataFrame, *,
outcome: str,
unit: str = "fips",
period: str = "year",
treatment_terms: list[str],
controls: Optional[list[str]] = None,
cluster_col: Optional[str] = None,
) -> FitResult:
"""Two-way fixed effects regression.
Specification:
y_{it} = alpha_i + lambda_t + sum_k beta_k * Treat_k_{it} + gamma X_{it} + e
Implemented via OLS with explicit dummies (small panels, fast enough).
"""
controls = controls or []
needed = [outcome, unit, period] + treatment_terms + controls
needed = [c for c in needed if c is not None]
work = df.dropna(subset=needed).copy()
formula_parts = [outcome, "~"]
formula_parts.append(" + ".join(treatment_terms + controls))
formula_parts.append(f" + C({unit}) + C({period})")
formula = " ".join(formula_parts)
model = smf.ols(formula, data=work)
if cluster_col is not None:
groups = work[cluster_col]
res = model.fit(cov_type="cluster", cov_kwds={"groups": groups})
n_clusters = int(work[cluster_col].nunique())
else:
res = model.fit()
n_clusters = None
return FitResult.from_results(
res, formula,
raw_terms=treatment_terms + controls,
n_clusters=n_clusters,
)
# --------------------------------------------------------------------------
# Event study around a treatment time
# --------------------------------------------------------------------------
def build_event_time(
df: pd.DataFrame, *,
unit: str,
period: str,
treat_unit_col: str,
event_period_col: str,
leads: int = 4, lags: int = 6,
reference_lead: int = -1,
) -> pd.DataFrame:
"""Construct event-time indicators for a staggered-adoption event study.
Returns the original df augmented with columns ev_m4, ..., ev_p6 plus
a binned ev_minus / ev_plus for periods outside the window.
Reference period (reference_lead) is omitted so coefficients are
interpreted relative to that period.
"""
out = df.copy()
et = out[period] - out[event_period_col]
et = et.where(out[treat_unit_col] == 1) # NaN for never-treated
# Bin tails
et_binned = et.copy()
et_binned = et_binned.where(et_binned >= -leads, other=-(leads + 99))
et_binned = et_binned.where(et_binned <= lags, other=(lags + 99))
cols = []
for k in range(-leads, lags + 1):
if k == reference_lead:
continue
col = f"ev_{('m' if k < 0 else 'p')}{abs(k)}"
out[col] = ((et_binned == k) & (out[treat_unit_col] == 1)).astype(int)
cols.append(col)
# binned tails
out["ev_pre"] = ((et_binned == -(leads + 99)) & (out[treat_unit_col] == 1)).astype(int)
out["ev_post"] = ((et_binned == (lags + 99)) & (out[treat_unit_col] == 1)).astype(int)
return out, cols + ["ev_pre", "ev_post"]
def event_study_table(
fit: FitResult, *, leads: int = 4, lags: int = 6,
reference_lead: int = -1,
) -> pd.DataFrame:
"""Reshape an event-study fit into a long table for plotting."""
rows = []
rows.append({
"event_time": reference_lead,
"coef": 0.0, "se": 0.0,
"ci_low": 0.0, "ci_high": 0.0, "p": 1.0,
})
for k in range(-leads, lags + 1):
if k == reference_lead:
continue
col = f"ev_{('m' if k < 0 else 'p')}{abs(k)}"
m = fit.coefs[fit.coefs["term"] == col]
if m.empty:
continue
m = m.iloc[0]
rows.append({
"event_time": k,
"coef": m["coef"], "se": m["se"],
"ci_low": m["ci_low"], "ci_high": m["ci_high"], "p": m["p"],
})
return pd.DataFrame(rows).sort_values("event_time").reset_index(drop=True)
# --------------------------------------------------------------------------
# Logistic regression with marginal effects
# --------------------------------------------------------------------------
def fit_logit_marginal(
df: pd.DataFrame, *,
outcome: str, predictors: list[str],
) -> tuple[FitResult, pd.DataFrame]:
"""Logit + average marginal effects (AME)."""
work = df.dropna(subset=[outcome] + predictors).copy()
formula = f"{outcome} ~ {' + '.join(predictors)}"
res = smf.logit(formula, data=work).fit(disp=False)
fit = FitResult.from_results(res, formula, raw_terms=predictors)
me = res.get_margeff(at="overall", method="dydx")
me_df = pd.DataFrame({
"term": me.results_table_data[0][1:],
"marginal_effect": me.margeff,
"se": me.margeff_se,
"p": me.pvalues,
}) if False else None # The API differs across versions; build manually:
margeff = res.get_margeff()
me_summary = margeff.summary_frame()
me_summary = me_summary.reset_index().rename(columns={
"index": "term", "dy/dx": "marginal_effect",
"Std. Err.": "se", "Pr(>|z|)": "p",
})
return fit, me_summary
# --------------------------------------------------------------------------
# Parallel-trends pre-period test
# --------------------------------------------------------------------------
def parallel_trends_pvalue(
df: pd.DataFrame, *,
outcome: str, unit: str, period: str,
treat_unit_col: str, pre_periods: list[int],
) -> dict:
"""Joint F-test on pre-period treated × period interactions."""
pre = df[df[period].isin(pre_periods)].copy()
pre["t"] = pre[period] - min(pre_periods)
pre["interact"] = pre[treat_unit_col] * pre["t"]
formula = f"{outcome} ~ {treat_unit_col} + C({period}) + interact + C({unit})"
res = smf.ols(formula, data=pre).fit()
coef = float(res.params.get("interact", np.nan))
se = float(res.bse.get("interact", np.nan))
p = float(res.pvalues.get("interact", np.nan))
return {"coef": coef, "se": se, "p": p, "n": int(res.nobs)}
# --------------------------------------------------------------------------
# Convenience: pretty p-value
# --------------------------------------------------------------------------
def stars(p: float) -> str:
if pd.isna(p):
return ""
if p < 0.001:
return "***"
if p < 0.01:
return "**"
if p < 0.05:
return "*"
if p < 0.1:
return "·"
return ""
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