Iterating over multiple refutation tests
The objective of this notebook is to compare the ability of refuters to detect the problems in a given set of estimators. Note: This notebook makes use of the optional dependencies: - pygraphviz - causalml
Import Dependencies
[1]:
from dowhy.datasets import linear_dataset
from dowhy import CausalModel
import causalml
# Config dict to set the logging level
import logging.config
DEFAULT_LOGGING = {
'version': 1,
'disable_existing_loggers': False,
'loggers': {
'': {
'level': 'WARN',
},
}
}
logging.config.dictConfig(DEFAULT_LOGGING)
# Disabling warnings output
import warnings
from sklearn.exceptions import DataConversionWarning
warnings.filterwarnings(action='ignore', category=DataConversionWarning)
Inspection Parameters
These parameters give us the option of inspecting the intermediate steps to sanity check the steps performed
[2]:
inspect_datasets = True
inspect_models = True
inspect_identified_estimands = True
inspect_estimates = True
inspect_refutations = True
Estimator List
We pass a list of strings, corresponding to the estimators of interest
[3]:
estimator_list = ["backdoor.propensity_score_matching", "backdoor.propensity_score_weighting", "backdoor.causalml.inference.meta.LRSRegressor"]
method_params= [ None, None, { "init_params":{} } ]
Refuter List
A list of strings, corresponding to each refuter we wish to run
[4]:
refuter_list = ["bootstrap_refuter", "data_subset_refuter"]
Create the Datasets
[5]:
# Parameters for creating the Dataset
TREATMENT_IS_BINARY = True
BETA = 10
NUM_SAMPLES = 5000
NUM_CONFOUNDERS = 5
NUM_INSTRUMENTS = 3
NUM_EFFECT_MODIFIERS = 2
# Creating a Linear Dataset with the given parameters
linear_data = linear_dataset(
beta = BETA,
num_common_causes = NUM_CONFOUNDERS,
num_instruments = NUM_INSTRUMENTS,
num_effect_modifiers = NUM_EFFECT_MODIFIERS,
num_samples = NUM_SAMPLES,
treatment_is_binary = True
)
# Other datasets come here
# Append them together in an array
datasets = [linear_data]
Inspect Data
[6]:
dataset_num = 1
if inspect_datasets is True:
for data in datasets:
print("####### Dataset {}###########################################################################################".format(dataset_num))
print(data['df'].head())
print("#############################################################################################################")
dataset_num += 1
####### Dataset 1###########################################################################################
X0 X1 Z0 Z1 Z2 W0 W1 W2 \
0 0.815561 1.382192 0.0 0.032699 0.0 -0.349572 -1.011814 -1.409937
1 0.565588 -0.121230 0.0 0.191581 0.0 1.500906 -1.133247 -1.990940
2 0.641187 -0.785662 1.0 0.959832 0.0 0.172375 0.482692 -2.712835
3 0.076662 1.159605 0.0 0.428127 0.0 2.273463 0.327248 1.290102
4 0.861989 0.494334 0.0 0.553362 0.0 0.904391 0.469244 0.403471
W3 W4 v0 y
0 -0.294557 -1.073794 False -7.431833
1 0.572827 0.111985 True 10.881939
2 0.575473 0.166511 True 14.268640
3 0.401685 -0.335078 True 18.930332
4 1.122946 1.625132 True 21.673668
#############################################################################################################
Create the CausalModels
[7]:
models = []
for data in datasets:
model = CausalModel(
data = data['df'],
treatment = data['treatment_name'],
outcome = data['outcome_name'],
graph = data['gml_graph']
)
models.append(model)
Inspect Models
[8]:
model_num = 1
if inspect_models is True:
for model in models:
print("####### Model {}#############################################################################################".format(model_num))
print("Common Causes:",model._common_causes)
print("Effect Modifiers:",model._effect_modifiers)
print("Instruments:",model._instruments)
print("Outcome:",model._outcome)
print("Treatment:",model._treatment)
print("#############################################################################################################")
model_num += 1
####### Model 1#############################################################################################
Common Causes: ['Unobserved Confounders', 'W2', 'W4', 'W3', 'W1', 'W0']
Effect Modifiers: ['X1', 'X0']
Instruments: ['Z1', 'Z2', 'Z0']
Outcome: ['y']
Treatment: ['v0']
#############################################################################################################
Identify Effect
[9]:
identified_estimands = []
for model in models:
identified_estimand = model.identify_effect(proceed_when_unidentifiable=True)
identified_estimands.append(identified_estimand)
Identified Estimands
[10]:
estimand_count = 1
for estimand in identified_estimands:
print("####### Identified Estimand {}#####################################################################################".format(estimand_count))
print(estimand)
print("###################################################################################################################")
estimand_count += 1
####### Identified Estimand 1#####################################################################################
Estimand type: nonparametric-ate
### Estimand : 1
Estimand name: backdoor
Estimand expression:
d
─────(Expectation(y|W2,W4,W3,W1,X1,W0,X0))
d[v₀]
Estimand assumption 1, Unconfoundedness: If U→{v0} and U→y then P(y|v0,W2,W4,W3,W1,X1,W0,X0,U) = P(y|v0,W2,W4,W3,W1,X1,W0,X0)
### Estimand : 2
Estimand name: iv
Estimand expression:
Expectation(Derivative(y, [Z1, Z2, Z0])*Derivative([v0], [Z1, Z2, Z0])**(-1))
Estimand assumption 1, As-if-random: If U→→y then ¬(U →→{Z1,Z2,Z0})
Estimand assumption 2, Exclusion: If we remove {Z1,Z2,Z0}→{v0}, then ¬({Z1,Z2,Z0}→y)
### Estimand : 3
Estimand name: frontdoor
No such variable found!
###################################################################################################################
Estimate Effect
[11]:
estimate_list = []
for i in range(len(identified_estimands)):
for j in range(len(estimator_list)):
estimate = model.estimate_effect(
identified_estimands[i],
method_name=estimator_list[j],
method_params=method_params[j]
)
estimate_list.append(estimate)
/home/amit/py-envs/env3.8/lib/python3.8/site-packages/sklearn/utils/validation.py:72: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
return f(**kwargs)
/home/amit/py-envs/env3.8/lib/python3.8/site-packages/sklearn/utils/validation.py:72: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
return f(**kwargs)
{'X': W2 W4 W3 W1 X1 W0 X0 \
0 -1.409937 -1.073794 -0.294557 -1.011814 1.382192 -0.349572 0.815561
1 -1.990940 0.111985 0.572827 -1.133247 -0.121230 1.500906 0.565588
2 -2.712835 0.166511 0.575473 0.482692 -0.785662 0.172375 0.641187
3 1.290102 -0.335078 0.401685 0.327248 1.159605 2.273463 0.076662
4 0.403471 1.625132 1.122946 0.469244 0.494334 0.904391 0.861989
... ... ... ... ... ... ... ...
4995 -1.523082 2.356658 -1.326664 0.655229 1.413582 2.273291 0.934879
4996 -1.116186 -0.792025 -0.800518 0.969778 1.004574 1.004584 -1.038316
4997 -1.052103 0.112904 0.015627 -1.293327 0.701666 1.729135 0.214009
4998 0.671167 1.218955 0.577825 0.073284 -1.145990 0.997583 0.831404
4999 -1.667117 -0.272001 0.464098 0.107621 -1.471820 1.069207 0.122401
X1 X0
0 1.382192 0.815561
1 -0.121230 0.565588
2 -0.785662 0.641187
3 1.159605 0.076662
4 0.494334 0.861989
... ... ...
4995 1.413582 0.934879
4996 1.004574 -1.038316
4997 0.701666 0.214009
4998 -1.145990 0.831404
4999 -1.471820 0.122401
[5000 rows x 9 columns], 'y': 0 -7.431833
1 10.881939
2 14.268640
3 18.930332
4 21.673668
...
4995 10.630741
4996 12.751352
4997 10.265862
4998 16.215069
4999 11.069029
Name: y, Length: 5000, dtype: float64, 'treatment': 0 False
1 True
2 True
3 True
4 True
...
4995 False
4996 True
4997 True
4998 True
4999 True
Name: v0, Length: 5000, dtype: bool}
Estimate Values
[12]:
estimand_count = 1
if inspect_estimates is True:
for estimand in estimate_list:
print("####### Estimand {}#######################################################################################".format(estimand_count))
print("*** Class Name ***")
print()
print(estimand.params['estimator_class'])
print()
print(estimand)
print("########################################################################################################")
print()
estimand_count += 1
####### Estimand 1#######################################################################################
*** Class Name ***
<class 'dowhy.causal_estimators.propensity_score_matching_estimator.PropensityScoreMatchingEstimator'>
*** Causal Estimate ***
## Identified estimand
Estimand type: nonparametric-ate
### Estimand : 1
Estimand name: backdoor
Estimand expression:
d
─────(Expectation(y|W2,W4,W3,W1,X1,W0,X0))
d[v₀]
Estimand assumption 1, Unconfoundedness: If U→{v0} and U→y then P(y|v0,W2,W4,W3,W1,X1,W0,X0,U) = P(y|v0,W2,W4,W3,W1,X1,W0,X0)
## Realized estimand
b: y~v0+W2+W4+W3+W1+X1+W0+X0
Target units: ate
## Estimate
Mean value: 13.879166147783451
########################################################################################################
####### Estimand 2#######################################################################################
*** Class Name ***
<class 'dowhy.causal_estimators.propensity_score_weighting_estimator.PropensityScoreWeightingEstimator'>
*** Causal Estimate ***
## Identified estimand
Estimand type: nonparametric-ate
### Estimand : 1
Estimand name: backdoor
Estimand expression:
d
─────(Expectation(y|W2,W4,W3,W1,X1,W0,X0))
d[v₀]
Estimand assumption 1, Unconfoundedness: If U→{v0} and U→y then P(y|v0,W2,W4,W3,W1,X1,W0,X0,U) = P(y|v0,W2,W4,W3,W1,X1,W0,X0)
## Realized estimand
b: y~v0+W2+W4+W3+W1+X1+W0+X0
Target units: ate
## Estimate
Mean value: 14.961425818165385
########################################################################################################
####### Estimand 3#######################################################################################
*** Class Name ***
<class 'dowhy.causal_estimators.causalml.Causalml'>
*** Causal Estimate ***
## Identified estimand
Estimand type: nonparametric-ate
### Estimand : 1
Estimand name: backdoor
Estimand expression:
d
─────(Expectation(y|W2,W4,W3,W1,X1,W0,X0))
d[v₀]
Estimand assumption 1, Unconfoundedness: If U→{v0} and U→y then P(y|v0,W2,W4,W3,W1,X1,W0,X0,U) = P(y|v0,W2,W4,W3,W1,X1,W0,X0)
## Realized estimand
b: y~v0+W2+W4+W3+W1+X1+W0+X0
Target units: ate
## Estimate
Mean value: [12.82779527]
Effect estimates: [[12.82779527]
[12.82779527]
[12.82779527]
...
[12.82779527]
[12.82779527]
[12.82779527]]
########################################################################################################
Refute Estimate
[13]:
refutation_list = []
for estimand in identified_estimands:
for estimate in estimate_list:
for refuter in refuter_list:
ref = model.refute_estimate(estimand, estimate,method_name=refuter)
refutation_list.append(ref)
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().
{'X': W2 W4 W3 W1 X1 W0 X0 \
93 -1.128470 0.803796 -0.849364 0.266145 -0.898931 1.769310 0.072095
1088 0.002826 1.175457 -0.165811 -1.036364 1.492922 1.770450 1.134532
2172 -0.340529 1.923116 2.123854 -1.499390 -1.321158 0.995319 -0.686868
3285 -0.486722 1.118134 1.452272 -0.987275 0.016285 0.150814 0.190272
1057 -0.426275 -0.112688 0.936973 0.997815 -1.062028 1.102444 2.198371
... ... ... ... ... ... ... ...
4823 -0.720302 0.888529 0.723755 -1.820770 -0.491517 1.266704 -0.325428
3292 -1.883412 1.381702 0.630555 0.523012 0.600994 1.470406 1.104361
1444 -1.077868 -0.810679 0.525418 -0.806209 -1.114339 0.198871 0.831400
236 -0.951846 -0.671687 0.649086 -0.822443 1.232260 0.638697 0.966714
239 -1.521737 -0.147820 -1.469830 -1.244154 1.264690 0.450694 -0.536106
X1 X0
93 -0.898931 0.072095
1088 1.492922 1.134532
2172 -1.321158 -0.686868
3285 0.016285 0.190272
1057 -1.062028 2.198371
... ... ...
4823 -0.491517 -0.325428
3292 0.600994 1.104361
1444 -1.114339 0.831400
236 1.232260 0.966714
239 1.264690 -0.536106
[5000 rows x 9 columns], 'y': 93 14.002035
1088 18.198535
2172 7.071185
3285 9.938453
1057 23.233456
...
4823 4.814064
3292 22.584796
1444 7.744684
236 10.675933
239 -5.674551
Name: y, Length: 5000, dtype: float64, 'treatment': 93 True
1088 True
2172 True
3285 True
1057 True
...
4823 True
3292 True
1444 True
236 True
239 False
Name: v0, Length: 5000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
3766 0.705785 0.519483 0.373609 -0.382871 0.940863 0.572413 -0.137014
1937 -0.927061 0.260515 1.949281 -0.826676 2.047490 1.082525 -0.552054
4521 -1.280717 1.573800 1.455551 -0.517148 1.354690 1.301090 -0.405578
2910 0.802627 -0.593973 0.066746 -0.847901 0.956710 0.489640 -0.719291
2089 -0.186005 1.435422 -1.493089 -1.310541 0.544113 2.001583 0.953466
... ... ... ... ... ... ... ...
2621 -0.771403 -1.364822 0.818501 -0.352753 1.347089 0.241284 -1.330746
2837 -1.286418 0.852655 -0.573994 -1.156086 2.595357 -0.045077 2.754514
2562 -0.588970 -0.087310 1.449469 -0.864397 1.899294 2.735263 0.515756
252 0.905816 1.559438 0.852178 -1.485987 -1.072765 0.958362 0.645487
2917 0.039117 -1.094309 1.054458 -2.824041 0.345335 -1.323637 -0.383539
X1 X0
3766 0.940863 -0.137014
1937 2.047490 -0.552054
4521 1.354690 -0.405578
2910 0.956710 -0.719291
2089 0.544113 0.953466
... ... ...
2621 1.347089 -1.330746
2837 2.595357 2.754514
2562 1.899294 0.515756
252 -1.072765 0.645487
2917 0.345335 -0.383539
[5000 rows x 9 columns], 'y': 3766 11.987051
1937 11.837503
4521 16.144046
2910 6.598981
2089 13.085114
...
2621 5.696583
2837 17.576338
2562 18.838240
252 11.018144
2917 -17.048424
Name: y, Length: 5000, dtype: float64, 'treatment': 3766 True
1937 True
4521 True
2910 True
2089 True
...
2621 True
2837 True
2562 True
252 True
2917 False
Name: v0, Length: 5000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
3120 0.030133 -1.578504 1.107558 -1.063730 0.449537 0.710989 1.174442
2744 1.110717 1.080912 1.269319 -0.392650 0.557287 0.372931 1.556674
3145 0.093074 -1.462376 0.907807 0.308703 -1.720340 1.076785 -1.509002
2666 -1.720909 -0.880539 0.453326 -0.640901 -1.192202 0.164446 -0.393032
4539 -0.076548 -1.000856 -0.782063 0.897225 0.221707 2.243186 3.138771
... ... ... ... ... ... ... ...
1570 -0.065932 -0.771146 1.365195 -0.379087 -2.700320 2.311231 1.361967
877 -0.460566 -0.150479 1.189769 -0.833921 -0.784373 3.106751 -0.699459
3739 -1.392188 -0.902102 -0.603839 -1.730818 2.358897 1.485747 1.427637
3265 -3.583440 -0.207926 -1.251573 -1.921912 1.122571 -0.622592 0.065013
220 -0.250070 1.078181 -0.679491 -2.057915 1.274275 -0.309054 2.202287
X1 X0
3120 0.449537 1.174442
2744 0.557287 1.556674
3145 -1.720340 -1.509002
2666 -1.192202 -0.393032
4539 0.221707 3.138771
... ... ...
1570 -2.700320 1.361967
877 -0.784373 -0.699459
3739 2.358897 1.427637
3265 1.122571 0.065013
220 1.274275 2.202287
[5000 rows x 9 columns], 'y': 3120 9.205212
2744 17.458570
3145 4.653603
2666 3.138149
4539 27.484782
...
1570 14.334940
877 10.457742
3739 11.217661
3265 -11.955311
220 -8.826730
Name: y, Length: 5000, dtype: float64, 'treatment': 3120 True
2744 True
3145 True
2666 True
4539 True
...
1570 True
877 True
3739 True
3265 False
220 False
Name: v0, Length: 5000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
2661 -1.280735 -1.099812 1.356750 0.321320 0.437382 1.220247 -1.256277
355 -0.705903 0.261021 1.627123 0.478537 0.677975 1.049893 -0.564608
4767 -1.052029 1.568160 1.113557 0.036574 2.025595 1.979423 -0.549465
4912 -1.031257 0.466402 1.224127 -1.086360 -0.643689 2.057229 0.052169
3973 -1.291226 -0.702398 0.290860 0.889324 0.171737 0.893152 0.348044
... ... ... ... ... ... ... ...
3760 -1.600854 1.264672 2.406585 -0.140576 0.612423 0.220596 0.571501
2976 -0.135394 1.033128 1.787401 -0.074463 0.800613 0.363257 0.414248
2795 0.070270 1.617862 2.020218 -0.366755 3.860018 1.202944 2.417506
2591 -1.636970 1.187440 -0.401007 -1.005131 0.939129 2.095031 -0.437921
3499 0.016486 0.394242 -1.204821 -0.921041 0.631624 0.382952 1.023271
X1 X0
2661 0.437382 -1.256277
355 0.677975 -0.564608
4767 2.025595 -0.549465
4912 -0.643689 0.052169
3973 0.171737 0.348044
... ... ...
3760 0.612423 0.571501
2976 0.800613 0.414248
2795 3.860018 2.417506
2591 0.939129 -0.437921
3499 0.631624 1.023271
[5000 rows x 9 columns], 'y': 2661 8.514343
355 15.428098
4767 19.739730
4912 11.297899
3973 15.308959
...
3760 17.457258
2976 16.961689
2795 29.952978
2591 12.192883
3499 -3.942523
Name: y, Length: 5000, dtype: float64, 'treatment': 2661 True
355 True
4767 True
4912 True
3973 True
...
3760 True
2976 True
2795 True
2591 True
3499 False
Name: v0, Length: 5000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
4370 1.157675 1.047775 1.503989 -1.278366 -0.921367 2.548336 2.112991
4653 -1.061666 -0.125984 0.847355 -0.891992 -0.815047 1.907783 0.978523
1360 -0.052371 0.028751 0.145399 -2.014764 -1.332931 -0.165902 -0.658246
4256 -0.935048 -1.327718 -0.067095 -2.305079 0.100418 1.014158 -0.063243
239 -1.352514 -0.071005 -1.635634 -1.123763 1.304075 0.597451 -0.780659
... ... ... ... ... ... ... ...
4704 0.489466 -0.499842 1.028875 -0.452220 0.099618 -0.099504 0.986054
2205 0.433751 0.648446 1.258696 -1.175802 2.307805 2.246515 1.612312
4820 -1.521765 1.652282 0.742704 -1.012177 1.409411 1.321403 1.021502
4381 -3.272863 0.968135 1.063820 -0.247689 1.521779 2.668159 -0.351991
2129 -0.981197 -1.270755 0.605028 -1.417201 0.653244 2.104788 1.253962
X1 X0
4370 -0.921367 2.112991
4653 -0.815047 0.978523
1360 -1.332931 -0.658246
4256 0.100418 -0.063243
239 1.304075 -0.780659
... ... ...
4704 0.099618 0.986054
2205 2.307805 1.612312
4820 1.409411 1.021502
4381 1.521779 -0.351991
2129 0.653244 1.253962
[5000 rows x 9 columns], 'y': 4370 17.574201
4653 12.774998
1360 -8.815314
4256 0.386707
239 -5.674551
...
4704 11.024184
2205 21.501989
4820 16.897307
4381 18.934708
2129 13.294615
Name: y, Length: 5000, dtype: float64, 'treatment': 4370 True
4653 True
1360 False
4256 True
239 False
...
4704 True
2205 True
4820 True
4381 True
2129 True
Name: v0, Length: 5000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
3782 0.168507 0.784798 1.189456 -0.780690 0.852463 0.216428 2.270378
4014 -2.556072 2.543305 1.101678 -0.244097 0.617215 1.379412 -0.093629
3128 -0.930958 -0.557656 0.764429 -0.311212 0.343489 0.909454 0.889444
4214 -1.930753 2.047628 0.029482 -0.214395 1.293378 -1.169465 1.730693
2830 0.130227 -0.875785 1.262717 -0.115966 -0.706258 0.016690 0.936511
... ... ... ... ... ... ... ...
3756 -0.479228 -1.061039 0.714823 1.265491 -0.545748 0.301314 1.495825
4309 0.388822 1.216931 -0.049924 0.413226 -0.259610 -0.220817 -0.230637
2789 -1.230163 0.546514 3.397750 -1.636762 -0.189356 -0.061337 -1.070342
1017 -0.310646 0.061668 -0.903804 -0.279610 1.338362 0.914859 -0.442131
1561 -1.052630 -0.026267 0.705706 -0.166797 1.285767 0.389357 1.294604
X1 X0
3782 0.852463 2.270378
4014 0.617215 -0.093629
3128 0.343489 0.889444
4214 1.293378 1.730693
2830 -0.706258 0.936511
... ... ...
3756 -0.545748 1.495825
4309 -0.259610 -0.230637
2789 -0.189356 -1.070342
1017 1.338362 -0.442131
1561 1.285767 1.294604
[5000 rows x 9 columns], 'y': 3782 16.909890
4014 18.943160
3128 14.664329
4214 16.995023
2830 10.928577
...
3756 20.607467
4309 12.462599
2789 4.578738
1017 10.354932
1561 17.282119
Name: y, Length: 5000, dtype: float64, 'treatment': 3782 True
4014 True
3128 True
4214 True
2830 True
...
3756 True
4309 True
2789 True
1017 True
1561 True
Name: v0, Length: 5000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
1357 -1.506144 0.116137 0.042825 -0.855125 1.437920 0.504459 0.164544
3279 -2.574014 0.234049 -0.944398 0.056567 -1.348222 0.711985 1.128497
3255 0.562844 2.050778 0.454447 -0.353478 0.056660 0.857282 1.078617
3884 -0.213045 1.964856 1.376516 -1.621999 1.196721 -0.001195 -1.668212
3847 -0.278301 -0.416129 0.262667 -1.743448 2.655945 1.250056 0.139821
... ... ... ... ... ... ... ...
1528 -0.009450 1.051223 1.138346 -2.338369 -0.664575 -0.044005 0.811306
320 -1.140332 0.507516 -1.459739 -1.148007 3.515834 1.429095 1.201401
3358 -0.974626 -0.274239 -0.530205 -1.956025 0.838270 2.896032 -0.379358
3779 -0.823650 0.853768 2.563799 0.798687 1.751411 0.432056 -0.002358
3815 -1.164638 1.583760 1.371598 0.835203 -0.190626 -0.163472 -0.669569
X1 X0
1357 1.437920 0.164544
3279 -1.348222 1.128497
3255 0.056660 1.078617
3884 1.196721 -1.668212
3847 2.655945 0.139821
... ... ...
1528 -0.664575 0.811306
320 3.515834 1.201401
3358 0.838270 -0.379358
3779 1.751411 -0.002358
3815 -0.190626 -0.669569
[5000 rows x 9 columns], 'y': 1357 10.744280
3279 13.063425
3255 17.764606
3884 2.525731
3847 9.762767
...
1528 4.325575
320 17.191705
3358 6.887025
3779 21.342567
3815 14.766265
Name: y, Length: 5000, dtype: float64, 'treatment': 1357 True
3279 True
3255 True
3884 True
3847 True
...
1528 True
320 True
3358 True
3779 True
3815 True
Name: v0, Length: 5000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
1565 -1.989112 0.105213 -0.176880 0.212156 1.539385 -0.038312 1.409801
459 -0.980685 -1.135691 -0.605145 1.674088 0.321524 1.730756 -0.004720
3557 -0.398518 -0.317816 -0.805104 -1.719579 0.742352 2.223729 -0.915839
716 -1.039316 1.067414 0.272723 0.091076 2.454732 1.584164 -1.459570
2587 -1.370915 0.946145 0.445298 0.317841 -0.166000 1.485238 -0.709976
... ... ... ... ... ... ... ...
4347 -0.522554 0.258061 -0.240256 0.107483 0.973884 1.418282 1.024689
793 -1.186073 0.054422 1.716280 -1.157338 -0.659174 1.319532 1.461916
3291 -0.068218 -0.811883 0.509290 -0.256270 0.718146 0.311962 1.484380
3057 -1.125414 0.252365 2.536791 -1.115070 -1.493186 0.098063 0.241859
2747 -1.566687 0.181829 0.397848 -0.101460 2.331359 1.573884 0.941870
X1 X0
1565 1.539385 1.409801
459 0.321524 -0.004720
3557 0.742352 -0.915839
716 2.454732 -1.459570
2587 -0.166000 -0.709976
... ... ...
4347 0.973884 1.024689
793 -0.659174 1.461916
3291 0.718146 1.484380
3057 -1.493186 0.241859
2747 2.331359 0.941870
[5000 rows x 9 columns], 'y': 1565 17.427760
459 18.163308
3557 4.023927
716 16.045114
2587 15.248328
...
4347 18.983305
793 14.091336
3291 14.691832
3057 6.739748
2747 21.166845
Name: y, Length: 5000, dtype: float64, 'treatment': 1565 True
459 True
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X1 X0
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X1 X0
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X1 X0
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184 -0.001350 1.778958
4658 0.323966 0.455059
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4376 -0.031670 0.837670
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...
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{'X': W2 W4 W3 W1 X1 W0 X0 \
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X1 X0
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641 0.545121 0.716097
3395 -0.829479 -0.709301
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940 -0.120358 0.502067
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...
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4466 16.254607
2675 8.558454
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4466 True
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{'X': W2 W4 W3 W1 X1 W0 X0 \
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X1 X0
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2942 -1.346485 -0.308893
1985 1.010354 0.712307
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...
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X1 X0
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X1 X0
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1161 -1.572094 1.776669 0.015944 -1.691704 1.448609 -0.209787 -0.397558
4454 -0.829031 -0.493084 0.616911 1.746533 1.656859 -0.123356 1.878424
2082 -1.225196 0.928209 0.962654 -0.576564 0.051703 -0.498712 2.565244
2545 -2.149562 -0.575347 0.268091 1.281092 1.863712 1.845482 0.598345
X1 X0
3646 0.961905 1.027836
4753 0.802949 -0.934536
1874 1.271652 2.771976
1979 -0.116418 1.075560
3833 1.640270 1.161384
... ... ...
3692 0.846092 1.230557
1161 1.448609 -0.397558
4454 1.656859 1.878424
2082 0.051703 2.565244
2545 1.863712 0.598345
[4000 rows x 9 columns], 'y': 3646 15.602898
4753 10.702258
1874 20.299147
1979 14.753077
3833 19.014972
...
3692 -2.139476
1161 5.598101
4454 26.418799
2082 17.363148
2545 24.450140
Name: y, Length: 4000, dtype: float64, 'treatment': 3646 True
4753 True
1874 True
1979 True
3833 True
...
3692 False
1161 True
4454 True
2082 True
2545 True
Name: v0, Length: 4000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
695 -1.699110 2.323989 0.807731 -0.271659 -0.211809 -0.744025 -1.558643
4130 -1.872362 0.845608 -0.860469 -0.631209 0.729810 -0.497062 0.948039
1223 0.289099 -2.443794 2.035284 0.218688 2.333786 1.721865 0.615797
3963 0.101531 -1.282459 -0.532440 -0.840048 1.033535 0.815107 -0.031970
4788 -3.376355 0.073576 0.925397 0.189794 0.526737 1.178599 1.424619
... ... ... ... ... ... ... ...
3127 -0.815226 -0.223501 0.744634 -2.505799 0.016300 1.581766 -0.045477
3276 -1.654917 1.170590 0.237420 -0.816339 0.673904 0.333814 -0.100035
1862 -1.650727 0.197540 -0.180495 0.025206 0.351556 2.026040 -1.011760
4323 -0.808319 0.042427 0.447776 -0.569865 1.160302 0.819399 -0.072613
1899 0.426674 -1.844077 -0.164387 -0.670726 1.551198 1.573171 1.018054
X1 X0
695 -0.211809 -1.558643
4130 0.729810 0.948039
1223 2.333786 0.615797
3963 1.033535 -0.031970
4788 0.526737 1.424619
... ... ...
3127 0.016300 -0.045477
3276 0.673904 -0.100035
1862 0.351556 -1.011760
4323 1.160302 -0.072613
1899 1.551198 1.018054
[4000 rows x 9 columns], 'y': 695 5.890952
4130 -3.636472
1223 19.139083
3963 -4.422953
4788 20.266295
...
3127 -7.192057
3276 9.899364
1862 12.139220
4323 11.481908
1899 13.536276
Name: y, Length: 4000, dtype: float64, 'treatment': 695 True
4130 False
1223 True
3963 False
4788 True
...
3127 False
3276 True
1862 True
4323 True
1899 True
Name: v0, Length: 4000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
4119 0.048714 -2.131216 0.069807 0.297385 0.787994 2.189438 2.124007
372 -0.360235 1.421870 0.792449 -0.387240 0.138254 2.778025 0.318648
3929 -2.407536 0.243117 0.727268 -1.040760 0.525102 3.330163 0.873197
1973 0.093444 1.064742 0.094906 0.874524 -0.326747 -1.122736 0.787786
3569 -0.072123 1.402830 -1.088922 0.036720 1.363652 1.423206 1.102803
... ... ... ... ... ... ... ...
1507 -0.420110 2.083932 -0.524775 -0.297665 1.467137 0.090386 -0.965544
4971 -1.391828 -0.648227 1.054309 1.179831 0.939320 1.792572 0.627551
3108 -0.339339 1.393149 0.090323 -0.480982 0.892453 0.110966 0.074631
1226 -0.041265 1.025358 2.276570 -0.282457 1.367297 0.504274 -0.714502
2583 -0.913616 -0.032676 2.465916 -0.238034 1.170003 0.065568 -0.642959
X1 X0
4119 0.787994 2.124007
372 0.138254 0.318648
3929 0.525102 0.873197
1973 -0.326747 0.787786
3569 1.363652 1.102803
... ... ...
1507 1.467137 -0.965544
4971 0.939320 0.627551
3108 0.892453 0.074631
1226 1.367297 -0.714502
2583 1.170003 -0.642959
[4000 rows x 9 columns], 'y': 4119 21.665918
372 19.167603
3929 18.031959
1973 15.215504
3569 4.603670
...
1507 10.685297
4971 23.226194
3108 12.037935
1226 13.664913
2583 11.281575
Name: y, Length: 4000, dtype: float64, 'treatment': 4119 True
372 True
3929 True
1973 True
3569 False
...
1507 True
4971 True
3108 True
1226 True
2583 True
Name: v0, Length: 4000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
3554 -0.222735 -0.346967 2.680898 1.226238 0.317267 1.600371 0.454741
3994 1.194213 0.618274 0.656493 -1.203912 -1.352883 1.767519 -0.159770
1760 -2.239215 -0.690167 1.085558 -1.267144 1.850300 0.861969 -0.719408
1748 -1.565292 2.007472 -0.845648 -0.215825 -0.630365 1.091860 0.990691
1384 -0.811669 0.606014 -1.213243 0.019066 -0.051212 0.565750 -0.623958
... ... ... ... ... ... ... ...
4118 -1.114762 -0.152649 0.515740 -1.948279 0.908050 0.563316 -0.097807
2774 0.102408 0.384608 -0.519023 -0.968537 0.304392 1.197624 -0.587061
317 -0.406155 -0.668102 1.997684 -0.215142 1.339109 0.392120 -0.288618
810 -0.062932 -1.587985 -1.017453 -1.358398 -0.691975 0.919968 1.358411
2271 -1.697712 1.128807 0.707452 -1.988370 0.340045 1.705926 2.530514
X1 X0
3554 0.317267 0.454741
3994 -1.352883 -0.159770
1760 1.850300 -0.719408
1748 -0.630365 0.990691
1384 -0.051212 -0.623958
... ... ...
4118 0.908050 -0.097807
2774 0.304392 -0.587061
317 1.339109 -0.288618
810 -0.691975 1.358411
2271 0.340045 2.530514
[4000 rows x 9 columns], 'y': 3554 23.595041
3994 7.749059
1760 6.836280
1748 16.192677
1384 8.931158
...
4118 3.919641
2774 7.047757
317 12.137265
810 -7.522722
2271 -2.478999
Name: y, Length: 4000, dtype: float64, 'treatment': 3554 True
3994 True
1760 True
1748 True
1384 True
...
4118 True
2774 True
317 True
810 False
2271 False
Name: v0, Length: 4000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
2943 0.210322 0.504581 1.169968 -0.127085 1.493260 1.605189 0.803052
1524 -2.944880 0.424792 1.586056 0.206984 -0.019012 1.644155 2.452151
1179 -0.108823 0.902757 0.778902 0.339470 1.416677 0.379246 0.855412
3983 -1.604766 -0.049549 0.262773 -0.492954 -0.268738 2.978200 0.349305
3775 -0.324658 -1.062535 0.005726 -0.870401 1.621996 0.965473 -0.455365
... ... ... ... ... ... ... ...
491 -0.676343 0.400896 3.058352 -0.972020 1.473206 0.742609 1.266343
3665 -1.630788 1.717551 -0.628928 -0.411995 0.390259 0.881842 -0.700918
1942 -2.631691 -0.088667 0.113700 -0.297016 0.560940 -0.986061 2.389590
4903 -1.470361 0.927818 0.673407 -1.947984 2.234930 -1.237438 1.152309
2875 -2.114806 0.056062 0.057519 -0.672777 1.330375 0.611317 -1.710180
X1 X0
2943 1.493260 0.803052
1524 -0.019012 2.452151
1179 1.416677 0.855412
3983 -0.268738 0.349305
3775 1.621996 -0.455365
... ... ...
491 1.473206 1.266343
3665 0.390259 -0.700918
1942 0.560940 2.389590
4903 2.234930 1.152309
2875 1.330375 -1.710180
[4000 rows x 9 columns], 'y': 2943 20.315704
1524 25.289960
1179 19.796449
3983 15.718831
3775 7.741907
...
491 17.753951
3665 10.502258
1942 -3.793639
4903 -9.626413
2875 4.872583
Name: y, Length: 4000, dtype: float64, 'treatment': 2943 True
1524 True
1179 True
3983 True
3775 True
...
491 True
3665 True
1942 False
4903 False
2875 True
Name: v0, Length: 4000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
584 -0.470835 0.400342 0.707470 -1.039355 -0.521270 1.040148 -1.285718
361 -0.800545 -0.813003 0.820109 -1.025488 0.805436 0.845576 2.137845
333 -0.638973 -1.204684 1.287297 -0.585898 0.698366 2.859068 -0.420852
497 -1.975292 -1.294636 -0.361712 0.203809 1.512288 1.249916 -0.115719
1320 -1.274483 0.661235 1.323526 -0.365403 0.708961 2.031969 1.041121
... ... ... ... ... ... ... ...
4900 -1.492491 -0.319742 0.056702 -0.294751 0.296276 3.241472 -0.268867
4079 -0.545752 -0.533411 -0.322547 -1.217207 0.289481 1.361618 -0.343992
1467 -1.042900 -1.263519 0.636651 -0.257860 1.613558 0.715287 1.156387
749 0.191533 -0.592711 -0.310196 -1.290142 -0.579329 0.231764 -0.296661
3379 -0.143532 1.204605 2.042144 -2.551316 2.626669 0.250100 -1.417000
X1 X0
584 -0.521270 -1.285718
361 0.805436 2.137845
333 0.698366 -0.420852
497 1.512288 -0.115719
1320 0.708961 1.041121
... ... ...
4900 0.296276 -0.268867
4079 0.289481 -0.343992
1467 1.613558 1.156387
749 -0.579329 -0.296661
3379 2.626669 -1.417000
[4000 rows x 9 columns], 'y': 584 3.966132
361 15.409041
333 13.243096
497 13.451547
1320 20.181778
...
4900 15.424909
4079 -3.453545
1467 15.654761
749 1.563944
3379 2.474282
Name: y, Length: 4000, dtype: float64, 'treatment': 584 True
361 True
333 True
497 True
1320 True
...
4900 True
4079 False
1467 True
749 True
3379 True
Name: v0, Length: 4000, dtype: bool}
{'X': W2 W4 W3 W1 X1 W0 X0 \
3003 0.363927 0.665771 -0.196421 1.314025 -0.030221 1.859175 -1.426725
3211 -2.172703 0.741949 1.664795 0.235195 1.455496 0.744536 0.836284
1340 -0.491651 2.099334 0.002413 -0.233030 0.296719 -0.266135 1.555696
4974 0.534275 -0.180563 0.857529 0.678457 0.267345 0.242391 1.159198
4193 -0.135605 -0.483899 0.548065 -0.537554 1.712391 0.238777 0.349417
... ... ... ... ... ... ... ...
2625 -0.634496 0.694689 -0.937704 -0.593804 -0.650164 0.985653 1.603755
1210 -0.435610 -0.324276 -0.137590 -0.994618 1.411302 2.085497 0.105201
4140 0.629460 0.224077 0.253897 -1.621930 0.256264 0.550608 -0.289653
1280 -2.119181 0.077882 -1.611545 -0.499588 1.229137 2.894346 0.978797
2356 -1.200700 0.615170 1.649437 -0.621391 0.483184 -0.262153 1.391082
X1 X0
3003 -0.030221 -1.426725
3211 1.455496 0.836284
1340 0.296719 1.555696
4974 0.267345 1.159198
4193 1.712391 0.349417
... ... ...
2625 -0.650164 1.603755
1210 1.411302 0.105201
4140 0.256264 -0.289653
1280 1.229137 0.978797
2356 0.483184 1.391082
[4000 rows x 9 columns], 'y': 3003 16.339278
3211 20.817999
1340 17.305946
4974 18.579814
4193 11.851706
...
2625 -0.254422
1210 12.393572
4140 4.050896
1280 18.256147
2356 14.679876
Name: y, Length: 4000, dtype: float64, 'treatment': 3003 True
3211 True
1340 True
4974 True
4193 True
...
2625 False
1210 True
4140 True
1280 True
2356 True
Name: v0, Length: 4000, dtype: bool}
Refutation Values
[14]:
refuter_count = 1
if inspect_refutations is True:
for refutation in refutation_list:
print("####### Refutation {}#######################################################################################".format(refuter_count))
print("*** Class Name ***")
print()
print(refutation.refutation_type)
print()
print(refutation)
print("########################################################################################################")
print()
refuter_count += 1
####### Refutation 1#######################################################################################
*** Class Name ***
Refute: Bootstrap Sample Dataset
Refute: Bootstrap Sample Dataset
Estimated effect:13.879166147783451
New effect:13.953445971526296
p value:0.38
########################################################################################################
####### Refutation 2#######################################################################################
*** Class Name ***
Refute: Use a subset of data
Refute: Use a subset of data
Estimated effect:13.879166147783451
New effect:13.840281043290043
p value:0.4
########################################################################################################
####### Refutation 3#######################################################################################
*** Class Name ***
Refute: Bootstrap Sample Dataset
Refute: Bootstrap Sample Dataset
Estimated effect:14.961425818165385
New effect:14.97968038230834
p value:0.45
########################################################################################################
####### Refutation 4#######################################################################################
*** Class Name ***
Refute: Use a subset of data
Refute: Use a subset of data
Estimated effect:14.961425818165385
New effect:14.958964391459405
p value:0.43999999999999995
########################################################################################################
####### Refutation 5#######################################################################################
*** Class Name ***
Refute: Bootstrap Sample Dataset
Refute: Bootstrap Sample Dataset
Estimated effect:[12.82779527]
New effect:12.896648276804534
p value:[0.3]
########################################################################################################
####### Refutation 6#######################################################################################
*** Class Name ***
Refute: Use a subset of data
Refute: Use a subset of data
Estimated effect:[12.82779527]
New effect:12.827589459953945
p value:[0.48]
########################################################################################################