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"""
Multiplier bootstrap inference for the Efficient DiD estimator.
Pattern follows CallawaySantAnnaBootstrapMixin (staggered_bootstrap.py).
Perturbs EIF values with random weights to obtain bootstrap distributions
of ATT(g,t) and aggregated parameters.
"""
import
warnings
from
dataclasses
import
dataclass
,
field
from
typing
import
Any
,
Dict
,
List
,
Optional
,
Tuple
import
numpy
as
np
from
diff_diff
.
bootstrap_utils
import
(
compute_effect_bootstrap_stats
as
_compute_effect_bootstrap_stats_func
,
)
from
diff_diff
.
bootstrap_utils
import
(
generate_bootstrap_weights_batch
as
_generate_bootstrap_weights_batch
,
)
@
dataclass
class
EDiDBootstrapResults
:
"""Bootstrap inference results for EfficientDiD."""
n_bootstrap
:
int
weight_type
:
str
alpha
:
float
overall_att_se
:
float
overall_att_ci
:
Tuple
[
float
,
float
]
overall_att_p_value
:
float
group_time_ses
:
Dict
[
Tuple
[
Any
,
Any
],
float
]
group_time_cis
:
Dict
[
Tuple
[
Any
,
Any
],
Tuple
[
float
,
float
]]
group_time_p_values
:
Dict
[
Tuple
[
Any
,
Any
],
float
]
event_study_ses
:
Optional
[
Dict
[
int
,
float
]]
=
None
event_study_cis
:
Optional
[
Dict
[
int
,
Tuple
[
float
,
float
]]]
=
None
event_study_p_values
:
Optional
[
Dict
[
int
,
float
]]
=
None
group_effect_ses
:
Optional
[
Dict
[
Any
,
float
]]
=
None
group_effect_cis
:
Optional
[
Dict
[
Any
,
Tuple
[
float
,
float
]]]
=
None
group_effect_p_values
:
Optional
[
Dict
[
Any
,
float
]]
=
None
bootstrap_distribution
:
Optional
[
np
.
ndarray
]
=
field
(
default
=
None
,
repr
=
False
)
class
EfficientDiDBootstrapMixin
:
"""Mixin providing multiplier bootstrap for EfficientDiD."""
n_bootstrap
:
int
bootstrap_weights
:
str
alpha
:
float
seed
:
Optional
[
int
]
anticipation
:
int
def
_run_multiplier_bootstrap
(
self
,
group_time_effects
:
Dict
[
Tuple
[
Any
,
Any
],
Dict
[
str
,
Any
]],
eif_by_gt
:
Dict
[
Tuple
[
Any
,
Any
],
np
.
ndarray
],
n_units
:
int
,
aggregate
:
Optional
[
str
],
balance_e
:
Optional
[
int
],
treatment_groups
:
List
[
Any
],
cohort_fractions
:
Dict
[
float
,
float
],
cluster_indices
:
Optional
[
np
.
ndarray
]
=
None
,
n_clusters
:
Optional
[
int
]
=
None
,
resolved_survey
:
object
=
None
,
unit_level_weights
:
Optional
[
np
.
ndarray
]
=
None
,
)
->
EDiDBootstrapResults
:
"""Run multiplier bootstrap on stored EIF values.
For each bootstrap draw *b*, perturb ATT(g,t) as::
ATT_b(g,t) = ATT(g,t) + (1/n) * xi_b @ eif_gt
where ``xi_b`` is an i.i.d. weight vector of length ``n_units``.
When ``cluster_indices`` is provided, weights are generated at the
cluster level and expanded to units.
Aggregations (overall, event study, group) are recomputed from
the perturbed ATT(g,t) values.
Note: Bootstrap aggregation uses fixed cohort-size weights, consistent
with the Callaway-Sant'Anna bootstrap pattern (staggered_bootstrap.py).
The analytical path includes a WIF correction for aggregated SEs, but
the bootstrap captures weight uncertainty through EIF perturbation.
This matches the R ``did`` package approach.
"""
if
self
.
n_bootstrap
<
50
:
warnings
.
warn
(
f"n_bootstrap=
{
self
.
n_bootstrap
}
is low. Consider n_bootstrap >= 199 "
"for reliable inference."
,
UserWarning
,
stacklevel
=
3
,
)
rng
=
np
.
random
.
default_rng
(
self
.
seed
)
gt_pairs
=
list
(
group_time_effects
.
keys
())
n_gt
=
len
(
gt_pairs
)
# Generate bootstrap weights — PSU-level when survey design is present,
# cluster-level if clustered, unit-level otherwise.
_use_survey_bootstrap
=
resolved_survey
is
not
None
and
(
resolved_survey
.
strata
is
not
None
or
resolved_survey
.
psu
is
not
None
or
resolved_survey
.
fpc
is
not
None
)
if
_use_survey_bootstrap
:
from
diff_diff
.
bootstrap_utils
import
(
generate_survey_multiplier_weights_batch
as
_gen_survey_weights
,
)
psu_weights
,
psu_ids
=
_gen_survey_weights
(
self
.
n_bootstrap
,
resolved_survey
,
self
.
bootstrap_weights
,
rng
)
# Build unit -> PSU column map
if
resolved_survey
.
psu
is
not
None
:
psu_id_to_col
=
{
int
(
p
):
c
for
c
,
p
in
enumerate
(
psu_ids
)}
unit_to_psu_col
=
np
.
array
(
[
psu_id_to_col
[
int
(
resolved_survey
.
psu
[
i
])]
for
i
in
range
(
n_units
)]
)
else
:
unit_to_psu_col
=
np
.
arange
(
n_units
)
all_weights
=
psu_weights
[:,
unit_to_psu_col
]
elif
cluster_indices
is
not
None
and
n_clusters
is
not
None
:
cluster_weights
=
_generate_bootstrap_weights_batch
(
self
.
n_bootstrap
,
n_clusters
,
self
.
bootstrap_weights
,
rng
)
# Expand cluster weights to unit level
all_weights
=
cluster_weights
[:,
cluster_indices
]
else
:
all_weights
=
_generate_bootstrap_weights_batch
(
self
.
n_bootstrap
,
n_units
,
self
.
bootstrap_weights
,
rng
)
# Original ATTs
original_atts
=
np
.
array
([
group_time_effects
[
gt
][
"effect"
]
for
gt
in
gt_pairs
])
# Perturbed ATTs: (n_bootstrap, n_gt)
# Under survey design, perturb survey-score object w_i * eif_i / sum(w)
# to match the analytical variance convention (compute_survey_if_variance).
bootstrap_atts
=
np
.
zeros
((
self
.
n_bootstrap
,
n_gt
))
for
j
,
gt
in
enumerate
(
gt_pairs
):
eif_gt
=
eif_by_gt
[
gt
]
# shape (n_units,)
with
np
.
errstate
(
divide
=
"ignore"
,
invalid
=
"ignore"
,
over
=
"ignore"
):
if
unit_level_weights
is
not
None
:
total_w
=
float
(
np
.
sum
(
unit_level_weights
))
eif_scaled
=
unit_level_weights
*
eif_gt
/
total_w
perturbation
=
all_weights
@
eif_scaled
else
:
perturbation
=
(
all_weights
@
eif_gt
)
/
n_units
bootstrap_atts
[:,
j
]
=
original_atts
[
j
]
+
perturbation
# Post-treatment mask — also exclude NaN effects
post_mask
=
np
.
array
(
[
t
>=
g
-
self
.
anticipation
and
np
.
isfinite
(
original_atts
[
j
])
for
j
, (
g
,
t
)
in
enumerate
(
gt_pairs
)
]
)
post_indices
=
np
.
where
(
post_mask
)[
0
]
# Overall ATT: fixed-weight re-aggregation of perturbed cell ATTs.
# This matches CallawaySantAnna._run_multiplier_bootstrap
# (staggered_bootstrap.py:281). The analytical path includes a WIF
# correction; bootstrap captures sampling variability through per-cell
# EIF perturbation without re-estimating weights — this is standard
# in both this library's CS implementation and the R did package.
skip_overall
=
len
(
post_indices
)
==
0
if
skip_overall
:
bootstrap_overall
=
np
.
full
(
self
.
n_bootstrap
,
np
.
nan
)
original_overall
=
np
.
nan
else
:
post_groups
=
[
gt_pairs
[
i
][
0
]
for
i
in
post_indices
]
pg
=
np
.
array
([
cohort_fractions
.
get
(
g
,
0.0
)
for
g
in
post_groups
])
agg_w
=
pg
/
pg
.
sum
()
if
pg
.
sum
()
>
0
else
np
.
ones
(
len
(
pg
))
/
len
(
pg
)
original_overall
=
float
(
np
.
sum
(
agg_w
*
original_atts
[
post_mask
]))
with
np
.
errstate
(
divide
=
"ignore"
,
invalid
=
"ignore"
,
over
=
"ignore"
):
bootstrap_overall
=
bootstrap_atts
[:,
post_indices
] @
agg_w
# Event study: fixed-weight re-aggregation (same pattern as overall).
# See note above re: WIF — analytical WIF is not needed in bootstrap.
bootstrap_event_study
=
None
event_study_info
=
None
if
aggregate
in
(
"event_study"
,
"all"
):
event_study_info
=
self
.
_prepare_es_agg_boot
(
gt_pairs
,
original_atts
,
cohort_fractions
,
balance_e
)
bootstrap_event_study
=
{}
for
e
,
info
in
event_study_info
.
items
():
idx
=
info
[
"gt_indices"
]
w
=
info
[
"weights"
]
with
np
.
errstate
(
divide
=
"ignore"
,
invalid
=
"ignore"
,
over
=
"ignore"
):
bootstrap_event_study
[
e
]
=
bootstrap_atts
[:,
idx
] @
w
# Group aggregation
bootstrap_group
=
None
group_agg_info
=
None
if
aggregate
in
(
"group"
,
"all"
):
group_agg_info
=
self
.
_prepare_group_agg_boot
(
gt_pairs
,
original_atts
,
treatment_groups
)
bootstrap_group
=
{}
for
g
,
info
in
group_agg_info
.
items
():
idx
=
info
[
"gt_indices"
]
w
=
info
[
"weights"
]
with
np
.
errstate
(
divide
=
"ignore"
,
invalid
=
"ignore"
,
over
=
"ignore"
):
bootstrap_group
[
g
]
=
bootstrap_atts
[:,
idx
] @
w
# Compute statistics
gt_ses
:
Dict
[
Tuple
[
Any
,
Any
],
float
]
=
{}
gt_cis
:
Dict
[
Tuple
[
Any
,
Any
],
Tuple
[
float
,
float
]]
=
{}
gt_pvals
:
Dict
[
Tuple
[
Any
,
Any
],
float
]
=
{}
for
j
,
gt
in
enumerate
(
gt_pairs
):
se
,
ci
,
pv
=
_compute_effect_bootstrap_stats_func
(
original_atts
[
j
],
bootstrap_atts
[:,
j
],
alpha
=
self
.
alpha
,
context
=
f"ATT(g=
{
gt
[
0
]
}
, t=
{
gt
[
1
]
}
)"
,
)
gt_ses
[
gt
]
=
se
gt_cis
[
gt
]
=
ci
gt_pvals
[
gt
]
=
pv
if
skip_overall
:
ov_se
,
ov_ci
,
ov_pv
=
np
.
nan
, (
np
.
nan
,
np
.
nan
),
np
.
nan
else
:
ov_se
,
ov_ci
,
ov_pv
=
_compute_effect_bootstrap_stats_func
(
original_overall
,
bootstrap_overall
,
alpha
=
self
.
alpha
,
context
=
"overall ATT"
,
)
es_ses
=
es_cis
=
es_pvs
=
None
if
bootstrap_event_study
is
not
None
and
event_study_info
is
not
None
:
es_ses
,
es_cis
,
es_pvs
=
{}, {}, {}
for
e
in
sorted
(
event_study_info
.
keys
()):
se
,
ci
,
pv
=
_compute_effect_bootstrap_stats_func
(
event_study_info
[
e
][
"effect"
],
bootstrap_event_study
[
e
],
alpha
=
self
.
alpha
,
context
=
f"event study (e=
{
e
}
)"
,
)
es_ses
[
e
]
=
se
es_cis
[
e
]
=
ci
es_pvs
[
e
]
=
pv
g_ses
=
g_cis
=
g_pvs
=
None
if
bootstrap_group
is
not
None
and
group_agg_info
is
not
None
:
g_ses
,
g_cis
,
g_pvs
=
{}, {}, {}
for
g
in
sorted
(
group_agg_info
.
keys
()):
se
,
ci
,
pv
=
_compute_effect_bootstrap_stats_func
(
group_agg_info
[
g
][
"effect"
],
bootstrap_group
[
g
],
alpha
=
self
.
alpha
,
context
=
f"group effect (g=
{
g
}
)"
,
)
g_ses
[
g
]
=
se
g_cis
[
g
]
=
ci
g_pvs
[
g
]
=
pv
return
EDiDBootstrapResults
(
n_bootstrap
=
self
.
n_bootstrap
,
weight_type
=
self
.
bootstrap_weights
,
alpha
=
self
.
alpha
,
overall_att_se
=
ov_se
,
overall_att_ci
=
ov_ci
,
overall_att_p_value
=
ov_pv
,
group_time_ses
=
gt_ses
,
group_time_cis
=
gt_cis
,
group_time_p_values
=
gt_pvals
,
event_study_ses
=
es_ses
,
event_study_cis
=
es_cis
,
event_study_p_values
=
es_pvs
,
group_effect_ses
=
g_ses
,
group_effect_cis
=
g_cis
,
group_effect_p_values
=
g_pvs
,
bootstrap_distribution
=
bootstrap_overall
,
)
def
_prepare_es_agg_boot
(
self
,
gt_pairs
:
List
[
Tuple
[
Any
,
Any
]],
original_atts
:
np
.
ndarray
,
cohort_fractions
:
Dict
[
float
,
float
],
balance_e
:
Optional
[
int
],
)
->
Dict
[
int
,
Dict
[
str
,
Any
]]:
"""Prepare event-study aggregation info for bootstrap."""
effects_by_e
:
Dict
[
int
,
List
[
Tuple
[
int
,
float
,
float
]]]
=
{}
for
j
, (
g
,
t
)
in
enumerate
(
gt_pairs
):
if
not
np
.
isfinite
(
original_atts
[
j
]):
continue
# Skip NaN cells
e
=
t
-
g
if
e
not
in
effects_by_e
:
effects_by_e
[
e
]
=
[]
effects_by_e
[
e
].
append
((
j
,
original_atts
[
j
],
cohort_fractions
.
get
(
g
,
0.0
)))
if
balance_e
is
not
None
:
groups_at_e
=
{
gt_pairs
[
j
][
0
]
for
j
, (
g
,
t
)
in
enumerate
(
gt_pairs
)
if
t
-
g
==
balance_e
and
np
.
isfinite
(
original_atts
[
j
])
}
balanced
:
Dict
[
int
,
List
[
Tuple
[
int
,
float
,
float
]]]
=
{}
for
j
, (
g
,
t
)
in
enumerate
(
gt_pairs
):
if
g
in
groups_at_e
:
if
not
np
.
isfinite
(
original_atts
[
j
]):
continue
# Skip NaN cells even in balanced set
e
=
t
-
g
if
e
not
in
balanced
:
balanced
[
e
]
=
[]
balanced
[
e
].
append
((
j
,
original_atts
[
j
],
cohort_fractions
.
get
(
g
,
0.0
)))
effects_by_e
=
balanced
if
balance_e
is
not
None
and
not
effects_by_e
:
warnings
.
warn
(
f"balance_e=
{
balance_e
}
: no cohort has a finite effect at the "
"anchor horizon. Event study will be empty."
,
UserWarning
,
stacklevel
=
2
,
)
result
=
{}
for
e
,
elist
in
effects_by_e
.
items
():
indices
=
np
.
array
([
x
[
0
]
for
x
in
elist
])
effs
=
np
.
array
([
x
[
1
]
for
x
in
elist
])
pgs
=
np
.
array
([
x
[
2
]
for
x
in
elist
])
w
=
pgs
/
pgs
.
sum
()
if
pgs
.
sum
()
>
0
else
np
.
ones
(
len
(
pgs
))
/
len
(
pgs
)
result
[
e
]
=
{
"gt_indices"
:
indices
,
"weights"
:
w
,
"effect"
:
float
(
np
.
sum
(
w
*
effs
)),
}
return
result
def
_prepare_group_agg_boot
(
self
,
gt_pairs
:
List
[
Tuple
[
Any
,
Any
]],
original_atts
:
np
.
ndarray
,
treatment_groups
:
List
[
Any
],
)
->
Dict
[
Any
,
Dict
[
str
,
Any
]]:
"""Prepare group-level aggregation info for bootstrap."""
result
=
{}
for
g
in
treatment_groups
:
group_data
=
[
(
j
,
original_atts
[
j
])
for
j
, (
gg
,
t
)
in
enumerate
(
gt_pairs
)
if
gg
==
g
and
t
>=
g
-
self
.
anticipation
and
np
.
isfinite
(
original_atts
[
j
])
]
if
not
group_data
:
continue
indices
=
np
.
array
([
x
[
0
]
for
x
in
group_data
])
effs
=
np
.
array
([
x
[
1
]
for
x
in
group_data
])
w
=
np
.
ones
(
len
(
effs
))
/
len
(
effs
)
result
[
g
]
=
{
"gt_indices"
:
indices
,
"weights"
:
w
,
"effect"
:
float
(
np
.
sum
(
w
*
effs
)),
}
return
result
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