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"""Power analysis visualization functions."""
from
typing
import
TYPE_CHECKING
,
Any
,
List
,
Optional
,
Tuple
,
Union
import
numpy
as
np
import
pandas
as
pd
if
TYPE_CHECKING
:
from
diff_diff
.
power
import
PowerResults
,
SimulationPowerResults
from
diff_diff
.
pretrends
import
PreTrendsPowerCurve
,
PreTrendsPowerResults
def
plot_power_curve
(
results
:
Optional
[
Union
[
"PowerResults"
,
"SimulationPowerResults"
,
pd
.
DataFrame
]]
=
None
,
*
,
effect_sizes
:
Optional
[
List
[
float
]]
=
None
,
powers
:
Optional
[
List
[
float
]]
=
None
,
mde
:
Optional
[
float
]
=
None
,
target_power
:
float
=
0.80
,
plot_type
:
str
=
"effect"
,
figsize
:
Tuple
[
float
,
float
]
=
(
10
,
6
),
title
:
Optional
[
str
]
=
None
,
xlabel
:
Optional
[
str
]
=
None
,
ylabel
:
str
=
"Power"
,
color
:
str
=
"#2563eb"
,
mde_color
:
str
=
"#dc2626"
,
target_color
:
str
=
"#22c55e"
,
linewidth
:
float
=
2.0
,
show_mde_line
:
bool
=
True
,
show_target_line
:
bool
=
True
,
show_grid
:
bool
=
True
,
ax
:
Optional
[
Any
]
=
None
,
show
:
bool
=
True
,
backend
:
str
=
"matplotlib"
,
)
->
Any
:
"""
Create a power curve visualization.
Shows how statistical power changes with effect size or sample size,
helping researchers understand the trade-offs in study design.
Parameters
----------
results : PowerResults, SimulationPowerResults, or DataFrame, optional
Results object from PowerAnalysis or simulate_power(), or a DataFrame
with columns 'effect_size' and 'power' (or 'sample_size' and 'power').
If None, must provide effect_sizes and powers directly.
effect_sizes : list of float, optional
Effect sizes (x-axis values). Required if results is None.
powers : list of float, optional
Power values (y-axis values). Required if results is None.
mde : float, optional
Minimum detectable effect to mark on the plot.
target_power : float, default=0.80
Target power level to show as horizontal line.
plot_type : str, default="effect"
Type of power curve: "effect" (power vs effect size) or
"sample" (power vs sample size).
figsize : tuple, default=(10, 6)
Figure size (width, height) in inches.
title : str, optional
Plot title. If None, uses a sensible default.
xlabel : str, optional
X-axis label. If None, uses a sensible default.
ylabel : str, default="Power"
Y-axis label.
color : str, default="#2563eb"
Color for the power curve line.
mde_color : str, default="#dc2626"
Color for the MDE vertical line.
target_color : str, default="#22c55e"
Color for the target power horizontal line.
linewidth : float, default=2.0
Line width for the power curve.
show_mde_line : bool, default=True
Whether to show vertical line at MDE.
show_target_line : bool, default=True
Whether to show horizontal line at target power.
show_grid : bool, default=True
Whether to show grid lines.
ax : matplotlib.axes.Axes, optional
Axes to plot on. If None, creates new figure.
show : bool, default=True
Whether to call plt.show() at the end.
backend : str, default="matplotlib"
Plotting backend: ``"matplotlib"`` or ``"plotly"``.
Returns
-------
matplotlib.axes.Axes or plotly.graph_objects.Figure
The axes object (matplotlib) or figure (plotly).
Examples
--------
From PowerAnalysis results:
>>> from diff_diff import PowerAnalysis, plot_power_curve
>>> pa = PowerAnalysis(power=0.80)
>>> curve_df = pa.power_curve(n_treated=50, n_control=50, sigma=5.0)
>>> mde_result = pa.mde(n_treated=50, n_control=50, sigma=5.0)
>>> plot_power_curve(curve_df, mde=mde_result.mde)
From simulation results:
>>> from diff_diff import simulate_power, DifferenceInDifferences
>>> results = simulate_power(
... DifferenceInDifferences(),
... effect_sizes=[1, 2, 3, 5, 7, 10],
... n_simulations=200
... )
>>> plot_power_curve(results)
Manual data:
>>> plot_power_curve(
... effect_sizes=[1, 2, 3, 4, 5],
... powers=[0.2, 0.5, 0.75, 0.90, 0.97],
... mde=2.5,
... target_power=0.80
... )
"""
# Extract data from results if provided
if
results
is
not
None
:
if
isinstance
(
results
,
pd
.
DataFrame
):
if
"effect_size"
in
results
.
columns
:
effect_sizes
=
results
[
"effect_size"
].
tolist
()
plot_type
=
"effect"
elif
"sample_size"
in
results
.
columns
:
effect_sizes
=
results
[
"sample_size"
].
tolist
()
plot_type
=
"sample"
else
:
raise
ValueError
(
"DataFrame must have 'effect_size' or 'sample_size' column"
)
powers
=
results
[
"power"
].
tolist
()
elif
hasattr
(
results
,
"effect_sizes"
)
and
hasattr
(
results
,
"powers"
):
# SimulationPowerResults
effect_sizes
=
results
.
effect_sizes
powers
=
results
.
powers
if
mde
is
None
and
hasattr
(
results
,
"true_effect"
):
mde
=
results
.
true_effect
elif
hasattr
(
results
,
"mde"
):
raise
ValueError
(
"PowerResults should be used to get mde value, not as direct input. "
"Use PowerAnalysis.power_curve() to generate curve data."
)
else
:
raise
TypeError
(
f"Cannot extract power curve data from
{
type
(
results
).
__name__
}
"
)
elif
effect_sizes
is
None
or
powers
is
None
:
raise
ValueError
(
"Must provide either 'results' or both 'effect_sizes' and 'powers'"
)
# Default titles and labels
if
title
is
None
:
title
=
"Power Curve"
if
plot_type
==
"effect"
else
"Power vs Sample Size"
if
xlabel
is
None
:
xlabel
=
"Effect Size"
if
plot_type
==
"effect"
else
"Sample Size"
if
backend
==
"plotly"
:
return
_render_power_curve_plotly
(
effect_sizes
=
effect_sizes
,
powers
=
powers
,
mde
=
mde
,
target_power
=
target_power
,
title
=
title
,
xlabel
=
xlabel
,
ylabel
=
ylabel
,
color
=
color
,
mde_color
=
mde_color
,
target_color
=
target_color
,
linewidth
=
linewidth
,
show_mde_line
=
show_mde_line
,
show_target_line
=
show_target_line
,
show_grid
=
show_grid
,
show
=
show
,
)
return
_render_power_curve_mpl
(
effect_sizes
=
effect_sizes
,
powers
=
powers
,
mde
=
mde
,
target_power
=
target_power
,
figsize
=
figsize
,
title
=
title
,
xlabel
=
xlabel
,
ylabel
=
ylabel
,
color
=
color
,
mde_color
=
mde_color
,
target_color
=
target_color
,
linewidth
=
linewidth
,
show_mde_line
=
show_mde_line
,
show_target_line
=
show_target_line
,
show_grid
=
show_grid
,
ax
=
ax
,
show
=
show
,
)
def
_render_power_curve_mpl
(
*
,
effect_sizes
,
powers
,
mde
,
target_power
,
figsize
,
title
,
xlabel
,
ylabel
,
color
,
mde_color
,
target_color
,
linewidth
,
show_mde_line
,
show_target_line
,
show_grid
,
ax
,
show
,
):
"""Render power curve with matplotlib."""
from
diff_diff
.
visualization
.
_common
import
_require_matplotlib
plt
=
_require_matplotlib
()
if
ax
is
None
:
fig
,
ax
=
plt
.
subplots
(
figsize
=
figsize
)
else
:
fig
=
ax
.
get_figure
()
# Plot power curve
ax
.
plot
(
effect_sizes
,
powers
,
color
=
color
,
linewidth
=
linewidth
,
label
=
"Power"
)
# Add target power line
if
show_target_line
:
ax
.
axhline
(
y
=
target_power
,
color
=
target_color
,
linestyle
=
"--"
,
linewidth
=
1.5
,
alpha
=
0.7
,
label
=
f"Target power (
{
target_power
:.0%
}
)"
,
)
# Add MDE line
if
show_mde_line
and
mde
is
not
None
:
ax
.
axvline
(
x
=
mde
,
color
=
mde_color
,
linestyle
=
":"
,
linewidth
=
1.5
,
alpha
=
0.7
,
label
=
f"MDE =
{
mde
:.3f
}
"
,
)
# Mark intersection point
if
mde
in
effect_sizes
:
idx
=
effect_sizes
.
index
(
mde
)
power_at_mde
=
powers
[
idx
]
else
:
effect_arr
=
np
.
array
(
effect_sizes
)
power_arr
=
np
.
array
(
powers
)
if
effect_arr
.
min
()
<=
mde
<=
effect_arr
.
max
():
power_at_mde
=
np
.
interp
(
mde
,
effect_arr
,
power_arr
)
else
:
power_at_mde
=
None
if
power_at_mde
is
not
None
:
ax
.
scatter
([
mde
], [
power_at_mde
],
color
=
mde_color
,
s
=
50
,
zorder
=
5
)
ax
.
set_xlabel
(
xlabel
)
ax
.
set_ylabel
(
ylabel
)
ax
.
set_title
(
title
)
ax
.
set_ylim
(
0
,
1.05
)
ax
.
yaxis
.
set_major_formatter
(
plt
.
FuncFormatter
(
lambda
y
,
_
:
f"
{
y
:.0%
}
"
))
if
show_grid
:
ax
.
grid
(
True
,
alpha
=
0.3
)
ax
.
legend
(
loc
=
"lower right"
)
fig
.
tight_layout
()
if
show
:
plt
.
show
()
return
ax
def
_render_power_curve_plotly
(
*
,
effect_sizes
,
powers
,
mde
,
target_power
,
title
,
xlabel
,
ylabel
,
color
,
mde_color
,
target_color
,
linewidth
,
show_mde_line
,
show_target_line
,
show_grid
,
show
,
):
"""Render power curve with plotly."""
from
diff_diff
.
visualization
.
_common
import
_plotly_default_layout
,
_require_plotly
go
=
_require_plotly
()
fig
=
go
.
Figure
()
fig
.
add_trace
(
go
.
Scatter
(
x
=
effect_sizes
,
y
=
powers
,
mode
=
"lines"
,
line
=
dict
(
color
=
color
,
width
=
linewidth
),
name
=
"Power"
,
)
)
if
show_target_line
:
fig
.
add_hline
(
y
=
target_power
,
line_dash
=
"dash"
,
line_color
=
target_color
,
opacity
=
0.7
,
annotation_text
=
f"Target (
{
target_power
:.0%
}
)"
,
)
if
show_mde_line
and
mde
is
not
None
:
fig
.
add_vline
(
x
=
mde
,
line_dash
=
"dot"
,
line_color
=
mde_color
,
opacity
=
0.7
,
annotation_text
=
f"MDE =
{
mde
:.3f
}
"
,
)
_plotly_default_layout
(
fig
,
title
=
title
,
xlabel
=
xlabel
,
ylabel
=
ylabel
)
fig
.
update_xaxes
(
showgrid
=
show_grid
)
fig
.
update_yaxes
(
range
=
[
0
,
1.05
],
tickformat
=
".0%"
,
showgrid
=
show_grid
)
if
show
:
fig
.
show
()
return
fig
def
plot_pretrends_power
(
results
:
Optional
[
Union
[
"PreTrendsPowerResults"
,
"PreTrendsPowerCurve"
,
pd
.
DataFrame
]]
=
None
,
*
,
M_values
:
Optional
[
List
[
float
]]
=
None
,
powers
:
Optional
[
List
[
float
]]
=
None
,
mdv
:
Optional
[
float
]
=
None
,
target_power
:
float
=
0.80
,
figsize
:
Tuple
[
float
,
float
]
=
(
10
,
6
),
title
:
str
=
"Pre-Trends Test Power Curve"
,
xlabel
:
str
=
"Violation Magnitude (M)"
,
ylabel
:
str
=
"Power"
,
color
:
str
=
"#2563eb"
,
mdv_color
:
str
=
"#dc2626"
,
target_color
:
str
=
"#22c55e"
,
linewidth
:
float
=
2.0
,
show_mdv_line
:
bool
=
True
,
show_target_line
:
bool
=
True
,
show_grid
:
bool
=
True
,
ax
:
Optional
[
Any
]
=
None
,
show
:
bool
=
True
,
backend
:
str
=
"matplotlib"
,
)
->
Any
:
"""
Plot pre-trends test power curve.
Visualizes how the power to detect parallel trends violations changes
with the violation magnitude (M). This helps understand what violations
your pre-trends test is capable of detecting.
Parameters
----------
results : PreTrendsPowerResults, PreTrendsPowerCurve, or DataFrame, optional
Results from PreTrendsPower.fit() or power_curve(), or a DataFrame
with columns 'M' and 'power'. If None, must provide M_values and powers.
M_values : list of float, optional
Violation magnitudes (x-axis). Required if results is None.
powers : list of float, optional
Power values (y-axis). Required if results is None.
mdv : float, optional
Minimum detectable violation to mark on the plot.
target_power : float, default=0.80
Target power level to show as horizontal line.
figsize : tuple, default=(10, 6)
Figure size (width, height) in inches.
title : str
Plot title.
xlabel : str
X-axis label.
ylabel : str
Y-axis label.
color : str, default="#2563eb"
Color for the power curve line.
mdv_color : str, default="#dc2626"
Color for the MDV vertical line.
target_color : str, default="#22c55e"
Color for the target power horizontal line.
linewidth : float, default=2.0
Line width for the power curve.
show_mdv_line : bool, default=True
Whether to show vertical line at MDV.
show_target_line : bool, default=True
Whether to show horizontal line at target power.
show_grid : bool, default=True
Whether to show grid lines.
ax : matplotlib.axes.Axes, optional
Axes to plot on. If None, creates new figure.
show : bool, default=True
Whether to call plt.show() at the end.
backend : str, default="matplotlib"
Plotting backend: ``"matplotlib"`` or ``"plotly"``.
Returns
-------
matplotlib.axes.Axes or plotly.graph_objects.Figure
The axes object (matplotlib) or figure (plotly).
Examples
--------
From PreTrendsPower results:
>>> from diff_diff import MultiPeriodDiD
>>> from diff_diff.pretrends import PreTrendsPower
>>> from diff_diff.visualization import plot_pretrends_power
>>>
>>> mp_did = MultiPeriodDiD()
>>> event_results = mp_did.fit(data, outcome='y', treatment='treated',
... time='period', post_periods=[4, 5, 6, 7])
>>>
>>> pt = PreTrendsPower()
>>> curve = pt.power_curve(event_results)
>>> plot_pretrends_power(curve)
Notes
-----
The power curve shows how likely you are to reject the null hypothesis
of parallel trends given a true violation of magnitude M.
See Also
--------
PreTrendsPower : Main class for pre-trends power analysis
plot_sensitivity : Plot HonestDiD sensitivity analysis
"""
# Extract data from results if provided
if
results
is
not
None
:
if
isinstance
(
results
,
pd
.
DataFrame
):
if
"M"
not
in
results
.
columns
or
"power"
not
in
results
.
columns
:
raise
ValueError
(
"DataFrame must have 'M' and 'power' columns"
)
M_values
=
results
[
"M"
].
tolist
()
powers
=
results
[
"power"
].
tolist
()
elif
hasattr
(
results
,
"M_values"
)
and
hasattr
(
results
,
"powers"
):
# PreTrendsPowerCurve
M_values
=
results
.
M_values
.
tolist
()
powers
=
results
.
powers
.
tolist
()
if
mdv
is
None
:
mdv
=
results
.
mdv
if
target_power
is
None
:
target_power
=
results
.
target_power
elif
hasattr
(
results
,
"mdv"
)
and
hasattr
(
results
,
"power"
):
# Single PreTrendsPowerResults
if
mdv
is
None
:
mdv
=
results
.
mdv
if
np
.
isfinite
(
mdv
):
M_values
=
[
0
,
mdv
*
0.5
,
mdv
,
mdv
*
1.5
,
mdv
*
2
]
else
:
M_values
=
[
0
,
1
,
2
,
3
,
4
]
powers
=
None
else
:
raise
TypeError
(
f"Cannot extract power curve data from
{
type
(
results
).
__name__
}
"
)
elif
M_values
is
None
or
powers
is
None
:
raise
ValueError
(
"Must provide either 'results' or both 'M_values' and 'powers'"
)
if
backend
==
"plotly"
:
return
_render_pretrends_power_plotly
(
M_values
=
M_values
,
powers
=
powers
,
mdv
=
mdv
,
target_power
=
target_power
,
title
=
title
,
xlabel
=
xlabel
,
ylabel
=
ylabel
,
color
=
color
,
mdv_color
=
mdv_color
,
target_color
=
target_color
,
linewidth
=
linewidth
,
show_mdv_line
=
show_mdv_line
,
show_target_line
=
show_target_line
,
show_grid
=
show_grid
,
show
=
show
,
)
return
_render_pretrends_power_mpl
(
M_values
=
M_values
,
powers
=
powers
,
mdv
=
mdv
,
target_power
=
target_power
,
figsize
=
figsize
,
title
=
title
,
xlabel
=
xlabel
,
ylabel
=
ylabel
,
color
=
color
,
mdv_color
=
mdv_color
,
target_color
=
target_color
,
linewidth
=
linewidth
,
show_mdv_line
=
show_mdv_line
,
show_target_line
=
show_target_line
,
show_grid
=
show_grid
,
ax
=
ax
,
show
=
show
,
)
def
_render_pretrends_power_mpl
(
*
,
M_values
,
powers
,
mdv
,
target_power
,
figsize
,
title
,
xlabel
,
ylabel
,
color
,
mdv_color
,
target_color
,
linewidth
,
show_mdv_line
,
show_target_line
,
show_grid
,
ax
,
show
,
):
"""Render pre-trends power curve with matplotlib."""
from
diff_diff
.
visualization
.
_common
import
_require_matplotlib
plt
=
_require_matplotlib
()
if
ax
is
None
:
fig
,
ax
=
plt
.
subplots
(
figsize
=
figsize
)
else
:
fig
=
ax
.
get_figure
()
# Plot power curve if we have powers
if
powers
is
not
None
:
ax
.
plot
(
M_values
,
powers
,
color
=
color
,
linewidth
=
linewidth
,
label
=
"Power"
)
# Add target power line
if
show_target_line
:
ax
.
axhline
(
y
=
target_power
,
color
=
target_color
,
linestyle
=
"--"
,
linewidth
=
1.5
,
alpha
=
0.7
,
label
=
f"Target power (
{
target_power
:.0%
}
)"
,
)
# Add MDV line
if
show_mdv_line
and
mdv
is
not
None
and
np
.
isfinite
(
mdv
):
ax
.
axvline
(
x
=
mdv
,
color
=
mdv_color
,
linestyle
=
":"
,
linewidth
=
1.5
,
alpha
=
0.7
,
label
=
f"MDV =
{
mdv
:.3f
}
"
,
)
# Mark intersection point if we have powers
if
powers
is
not
None
:
M_arr
=
np
.
array
(
M_values
)
power_arr
=
np
.
array
(
powers
)
if
M_arr
.
min
()
<=
mdv
<=
M_arr
.
max
():
power_at_mdv
=
np
.
interp
(
mdv
,
M_arr
,
power_arr
)
ax
.
scatter
([
mdv
], [
power_at_mdv
],
color
=
mdv_color
,
s
=
50
,
zorder
=
5
)
ax
.
set_xlabel
(
xlabel
)
ax
.
set_ylabel
(
ylabel
)
ax
.
set_title
(
title
)
ax
.
set_ylim
(
0
,
1.05
)
ax
.
yaxis
.
set_major_formatter
(
plt
.
FuncFormatter
(
lambda
y
,
_
:
f"
{
y
:.0%
}
"
))
if
show_grid
:
ax
.
grid
(
True
,
alpha
=
0.3
)
ax
.
legend
(
loc
=
"lower right"
)
fig
.
tight_layout
()
if
show
:
plt
.
show
()
return
ax
def
_render_pretrends_power_plotly
(
*
,
M_values
,
powers
,
mdv
,
target_power
,
title
,
xlabel
,
ylabel
,
color
,
mdv_color
,
target_color
,
linewidth
,
show_mdv_line
,
show_target_line
,
show_grid
,
show
,
):
"""Render pre-trends power curve with plotly."""
from
diff_diff
.
visualization
.
_common
import
_plotly_default_layout
,
_require_plotly
go
=
_require_plotly
()
fig
=
go
.
Figure
()
if
powers
is
not
None
:
fig
.
add_trace
(
go
.
Scatter
(
x
=
M_values
,
y
=
powers
,
mode
=
"lines"
,
line
=
dict
(
color
=
color
,
width
=
linewidth
),
name
=
"Power"
,
)
)
if
show_target_line
:
fig
.
add_hline
(
y
=
target_power
,
line_dash
=
"dash"
,
line_color
=
target_color
,
opacity
=
0.7
,
annotation_text
=
f"Target (
{
target_power
:.0%
}
)"
,
)
if
show_mdv_line
and
mdv
is
not
None
and
np
.
isfinite
(
mdv
):
fig
.
add_vline
(
x
=
mdv
,
line_dash
=
"dot"
,
line_color
=
mdv_color
,
opacity
=
0.7
,
annotation_text
=
f"MDV =
{
mdv
:.3f
}
"
,
)
_plotly_default_layout
(
fig
,
title
=
title
,
xlabel
=
xlabel
,
ylabel
=
ylabel
)
fig
.
update_xaxes
(
showgrid
=
show_grid
)
fig
.
update_yaxes
(
range
=
[
0
,
1.05
],
tickformat
=
".0%"
,
showgrid
=
show_grid
)
if
show
:
fig
.
show
()
return
fig
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