Hypothesis Tests¶
Unpaired kSample Transform¶

mgcpy.hypothesis_tests.transforms.
k_sample_transform
(x, y, is_y_categorical=False)[source]¶ Transform to represent a ksample test as an independence test
 Parameters
X (2D numpy.array) 
is interpreted as either:
a
[n*n]
distance matrix, a square matrix with zeros on diagonal for n samples ORa
[n*p]
data matrix, a matrix with n samples in p dimensions
Y (2D numpy.array) 
is interpreted as either:
a
[n*n]
distance matrix, a square matrix with zeros on diagonal for n samples ORa
[n*p]
data matrix, a matrix with n samples in p dimensionsa
[n*1]
label matrix, categorical data for X, ifis_y_categorical
is set to True
is_y_categorical (boolean)  if set to True,
Y
has categorical data ans is a labels array for X, else, it is a plain data matrix
 Returns
 u
a concatenated data matrix of dimensions
[2*n, p]
 v
a label matrix for
u
, which indicates to which category each data entry inu
belongs to
 Return type

mgcpy.hypothesis_tests.transforms.
paired_two_sample_transform
(x, y)[source]¶ Transform to represent a paired twosample test as an independence test Steps:
combine x and y to get the joint_distribution
sample n pairs from the joint_distribution
compute the eucledian distance between the sampled n pairs, which is
randomly_sampled_pairs_distance
compute the eucledian distance between the actual x and y, which is
actual_pairs_distance
compute the two sample transformed matrices of
randomly_sampled_pairs_distance
andactual_pairs_distance
 Parameters
X (2D numpy.array)  is interpreted as either:  a
[n*n]
distance matrix, a square matrix with zeros on diagonal for n samples OR  a[n*p]
data matrix, a matrix with n samples in p dimensionsY (2D numpy.array)  is interpreted as either:  a
[n*n]
distance matrix, a square matrix with zeros on diagonal for n samples OR  a[n*p]
data matrix, a matrix with n samples in p dimensions
 Returns
 u
a data matrix of dimensions
[2*n, p]
 v
a label matrix for
u
, which indicates to which category each data entry inu
belongs to
 Return type

mgcpy.hypothesis_tests.transforms.
paired_two_sample_test_dcorr
(x, y, which_test='biased', compute_distance_matrix=None, is_fast=False)[source]¶ Compute paired two sample test's DCorr test_statistic
 Parameters
X (2D numpy.array) 
is interpreted as either:
a
[n*n]
distance matrix, a square matrix with zeros on diagonal for n samples ORa
[n*p]
data matrix, a matrix with n samples in p dimensions
Y (2D numpy.array) 
is interpreted as either:
a
[n*n]
distance matrix, a square matrix with zeros on diagonal for n samples ORa
[n*p]
data matrix, a matrix with n samples in p dimensions
 Returns
paired two sample DCorr test_statistic
 Return type