forked from pymc-labs/CausalPy
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathprepostfit.py
461 lines (400 loc) · 15.2 KB
/
prepostfit.py
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
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
# Copyright 2022 - 2025 The PyMC Labs Developers
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
"""
Pre/post intervention fit experiment designs
"""
from typing import List, Union
import arviz as az
import numpy as np
import pandas as pd
from matplotlib import pyplot as plt
from patsy import build_design_matrices, dmatrices
from sklearn.base import RegressorMixin
from causalpy.custom_exceptions import BadIndexException
from causalpy.plot_utils import get_hdi_to_df, plot_xY
from causalpy.pymc_models import PyMCModel
from causalpy.utils import round_num
from .base import BaseExperiment
LEGEND_FONT_SIZE = 12
class PrePostFit(BaseExperiment):
"""
A base class for quasi-experimental designs where parameter estimation is based on
just pre-intervention data. This class is not directly invoked by the user.
"""
def __init__(
self,
data: pd.DataFrame,
treatment_time: Union[int, float, pd.Timestamp],
formula: str,
model=None,
**kwargs,
) -> None:
super().__init__(model=model)
self.input_validation(data, treatment_time)
self.treatment_time = treatment_time
# set experiment type - usually done in subclasses
self.expt_type = "Pre-Post Fit"
# split data in to pre and post intervention
self.datapre = data[data.index < self.treatment_time]
self.datapost = data[data.index >= self.treatment_time]
self.formula = formula
# set things up with pre-intervention data
y, X = dmatrices(formula, self.datapre)
self.outcome_variable_name = y.design_info.column_names[0]
self._y_design_info = y.design_info
self._x_design_info = X.design_info
self.labels = X.design_info.column_names
self.pre_y, self.pre_X = np.asarray(y), np.asarray(X)
# process post-intervention data
(new_y, new_x) = build_design_matrices(
[self._y_design_info, self._x_design_info], self.datapost
)
self.post_X = np.asarray(new_x)
self.post_y = np.asarray(new_y)
# fit the model to the observed (pre-intervention) data
if isinstance(self.model, PyMCModel):
COORDS = {"coeffs": self.labels, "obs_indx": np.arange(self.pre_X.shape[0])}
self.model.fit(X=self.pre_X, y=self.pre_y, coords=COORDS)
elif isinstance(self.model, RegressorMixin):
self.model.fit(X=self.pre_X, y=self.pre_y)
else:
raise ValueError("Model type not recognized")
# score the goodness of fit to the pre-intervention data
self.score = self.model.score(X=self.pre_X, y=self.pre_y)
# get the model predictions of the observed (pre-intervention) data
self.pre_pred = self.model.predict(X=self.pre_X)
# calculate the counterfactual
self.post_pred = self.model.predict(X=self.post_X)
self.pre_impact = self.model.calculate_impact(self.pre_y[:, 0], self.pre_pred)
self.post_impact = self.model.calculate_impact(
self.post_y[:, 0], self.post_pred
)
self.post_impact_cumulative = self.model.calculate_cumulative_impact(
self.post_impact
)
def input_validation(self, data, treatment_time):
"""Validate the input data and model formula for correctness"""
if isinstance(data.index, pd.DatetimeIndex) and not isinstance(
treatment_time, pd.Timestamp
):
raise BadIndexException(
"If data.index is DatetimeIndex, treatment_time must be pd.Timestamp."
)
if not isinstance(data.index, pd.DatetimeIndex) and isinstance(
treatment_time, pd.Timestamp
):
raise BadIndexException(
"If data.index is not DatetimeIndex, treatment_time must be pd.Timestamp." # noqa: E501
)
def summary(self, round_to=None) -> None:
"""Print summary of main results and model coefficients.
:param round_to:
Number of decimals used to round results. Defaults to 2. Use "None" to return raw numbers
"""
print(f"{self.expt_type:=^80}")
print(f"Formula: {self.formula}")
self.print_coefficients(round_to)
def bayesian_plot(
self, round_to=None, **kwargs
) -> tuple[plt.Figure, List[plt.Axes]]:
"""
Plot the results
:param round_to:
Number of decimals used to round results. Defaults to 2. Use "None" to return raw numbers.
"""
counterfactual_label = "Counterfactual"
fig, ax = plt.subplots(3, 1, sharex=True, figsize=(7, 8))
# TOP PLOT --------------------------------------------------
# pre-intervention period
h_line, h_patch = plot_xY(
self.datapre.index,
self.pre_pred["posterior_predictive"].mu,
ax=ax[0],
plot_hdi_kwargs={"color": "C0"},
)
handles = [(h_line, h_patch)]
labels = ["Pre-intervention period"]
(h,) = ax[0].plot(self.datapre.index, self.pre_y, "k.", label="Observations")
handles.append(h)
labels.append("Observations")
# post intervention period
h_line, h_patch = plot_xY(
self.datapost.index,
self.post_pred["posterior_predictive"].mu,
ax=ax[0],
plot_hdi_kwargs={"color": "C1"},
)
handles.append((h_line, h_patch))
labels.append(counterfactual_label)
ax[0].plot(self.datapost.index, self.post_y, "k.")
# Shaded causal effect
h = ax[0].fill_between(
self.datapost.index,
y1=az.extract(
self.post_pred, group="posterior_predictive", var_names="mu"
).mean("sample"),
y2=np.squeeze(self.post_y),
color="C0",
alpha=0.25,
)
handles.append(h)
labels.append("Causal impact")
ax[0].set(
title=f"""
Pre-intervention Bayesian $R^2$: {round_num(self.score.r2, round_to)}
(std = {round_num(self.score.r2_std, round_to)})
"""
)
# MIDDLE PLOT -----------------------------------------------
plot_xY(
self.datapre.index,
self.pre_impact,
ax=ax[1],
plot_hdi_kwargs={"color": "C0"},
)
plot_xY(
self.datapost.index,
self.post_impact,
ax=ax[1],
plot_hdi_kwargs={"color": "C1"},
)
ax[1].axhline(y=0, c="k")
ax[1].fill_between(
self.datapost.index,
y1=self.post_impact.mean(["chain", "draw"]),
color="C0",
alpha=0.25,
label="Causal impact",
)
ax[1].set(title="Causal Impact")
# BOTTOM PLOT -----------------------------------------------
ax[2].set(title="Cumulative Causal Impact")
plot_xY(
self.datapost.index,
self.post_impact_cumulative,
ax=ax[2],
plot_hdi_kwargs={"color": "C1"},
)
ax[2].axhline(y=0, c="k")
# Intervention line
for i in [0, 1, 2]:
ax[i].axvline(
x=self.treatment_time,
ls="-",
lw=3,
color="r",
)
ax[0].legend(
handles=(h_tuple for h_tuple in handles),
labels=labels,
fontsize=LEGEND_FONT_SIZE,
)
return fig, ax
def ols_plot(self, round_to=None, **kwargs) -> tuple[plt.Figure, List[plt.Axes]]:
"""
Plot the results
:param round_to:
Number of decimals used to round results. Defaults to 2. Use "None" to return raw numbers.
"""
counterfactual_label = "Counterfactual"
fig, ax = plt.subplots(3, 1, sharex=True, figsize=(7, 8))
ax[0].plot(self.datapre.index, self.pre_y, "k.")
ax[0].plot(self.datapost.index, self.post_y, "k.")
ax[0].plot(self.datapre.index, self.pre_pred, c="k", label="model fit")
ax[0].plot(
self.datapost.index,
self.post_pred,
label=counterfactual_label,
ls=":",
c="k",
)
ax[0].set(
title=f"$R^2$ on pre-intervention data = {round_num(self.score, round_to)}"
)
ax[1].plot(self.datapre.index, self.pre_impact, "k.")
ax[1].plot(
self.datapost.index,
self.post_impact,
"k.",
label=counterfactual_label,
)
ax[1].axhline(y=0, c="k")
ax[1].set(title="Causal Impact")
ax[2].plot(self.datapost.index, self.post_impact_cumulative, c="k")
ax[2].axhline(y=0, c="k")
ax[2].set(title="Cumulative Causal Impact")
# Shaded causal effect
ax[0].fill_between(
self.datapost.index,
y1=np.squeeze(self.post_pred),
y2=np.squeeze(self.post_y),
color="C0",
alpha=0.25,
label="Causal impact",
)
ax[1].fill_between(
self.datapost.index,
y1=np.squeeze(self.post_impact),
color="C0",
alpha=0.25,
label="Causal impact",
)
# Intervention line
# TODO: make this work when treatment_time is a datetime
for i in [0, 1, 2]:
ax[i].axvline(
x=self.treatment_time,
ls="-",
lw=3,
color="r",
label="Treatment time",
)
ax[0].legend(fontsize=LEGEND_FONT_SIZE)
return (fig, ax)
def get_plot_data_bayesian(self, hdi_prob: float = 0.94) -> pd.DataFrame:
"""
Recover the data of a PrePostFit experiment along with the prediction and causal impact information.
"""
if isinstance(self.model, PyMCModel):
pre_data = self.datapre.copy()
post_data = self.datapost.copy()
pre_data["prediction"] = (
az.extract(self.pre_pred, group="posterior_predictive", var_names="mu")
.mean("sample")
.values
)
post_data["prediction"] = (
az.extract(self.post_pred, group="posterior_predictive", var_names="mu")
.mean("sample")
.values
)
pre_data[["pred_hdi_lower", "pred_hdi_upper"]] = get_hdi_to_df(
self.pre_pred["posterior_predictive"].mu, hdi_prob=hdi_prob
).set_index(pre_data.index)
post_data[["pred_hdi_lower", "pred_hdi_upper"]] = get_hdi_to_df(
self.post_pred["posterior_predictive"].mu, hdi_prob=hdi_prob
).set_index(post_data.index)
pre_data["impact"] = self.pre_impact.mean(dim=["chain", "draw"]).values
post_data["impact"] = self.post_impact.mean(dim=["chain", "draw"]).values
pre_data[["impact_hdi_lower", "impact_hdi_upper"]] = get_hdi_to_df(
self.pre_impact, hdi_prob=hdi_prob
).set_index(pre_data.index)
post_data[["impact_hdi_lower", "impact_hdi_upper"]] = get_hdi_to_df(
self.post_impact, hdi_prob=hdi_prob
).set_index(post_data.index)
self.plot_data = pd.concat([pre_data, post_data])
return self.plot_data
else:
raise ValueError("Unsupported model type")
def get_plot_data_ols(self) -> pd.DataFrame:
"""
Recover the data of a PrePostFit experiment along with the prediction and causal impact information.
"""
pre_data = self.datapre.copy()
post_data = self.datapost.copy()
pre_data["prediction"] = self.pre_pred
post_data["prediction"] = self.post_pred
pre_data["impact"] = self.pre_impact
post_data["impact"] = self.post_impact
self.plot_data = pd.concat([pre_data, post_data])
return self.plot_data
class InterruptedTimeSeries(PrePostFit):
"""
A wrapper around PrePostFit class
:param data:
A pandas dataframe
:param treatment_time:
The time when treatment occurred, should be in reference to the data index
:param formula:
A statistical model formula
:param model:
A PyMC model
Example
--------
>>> import causalpy as cp
>>> df = (
... cp.load_data("its")
... .assign(date=lambda x: pd.to_datetime(x["date"]))
... .set_index("date")
... )
>>> treatment_time = pd.to_datetime("2017-01-01")
>>> seed = 42
>>> result = cp.InterruptedTimeSeries(
... df,
... treatment_time,
... formula="y ~ 1 + t + C(month)",
... model=cp.pymc_models.LinearRegression(
... sample_kwargs={
... "target_accept": 0.95,
... "random_seed": seed,
... "progressbar": False,
... }
... ),
... )
"""
expt_type = "Interrupted Time Series"
supports_ols = True
supports_bayes = True
class SyntheticControl(PrePostFit):
"""A wrapper around the PrePostFit class
:param data:
A pandas dataframe
:param treatment_time:
The time when treatment occurred, should be in reference to the data index
:param formula:
A statistical model formula
:param model:
A PyMC model
Example
--------
>>> import causalpy as cp
>>> df = cp.load_data("sc")
>>> treatment_time = 70
>>> seed = 42
>>> result = cp.SyntheticControl(
... df,
... treatment_time,
... formula="actual ~ 0 + a + b + c + d + e + f + g",
... model=cp.pymc_models.WeightedSumFitter(
... sample_kwargs={
... "target_accept": 0.95,
... "random_seed": seed,
... "progressbar": False,
... }
... ),
... )
"""
expt_type = "SyntheticControl"
supports_ols = True
supports_bayes = True
def bayesian_plot(self, *args, **kwargs) -> tuple[plt.Figure, List[plt.Axes]]:
"""
Plot the results
:param round_to:
Number of decimals used to round results. Defaults to 2. Use "None" to
return raw numbers.
:param plot_predictors:
Whether to plot the control units as well. Defaults to False.
"""
# call the super class method
fig, ax = super().bayesian_plot(*args, **kwargs)
# additional plotting functionality for the synthetic control experiment
plot_predictors = kwargs.get("plot_predictors", False)
if plot_predictors:
# plot control units as well
ax[0].plot(self.datapre.index, self.pre_X, "-", c=[0.8, 0.8, 0.8], zorder=1)
ax[0].plot(
self.datapost.index, self.post_X, "-", c=[0.8, 0.8, 0.8], zorder=1
)
return fig, ax