def test_quartiles_min_extremes():
"""Test box points for the extremes computation method"""
a = [-2.0, 3.0, 4.0, 5.0, 8.0] # odd test data
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
a, mode='extremes')
assert q1 == 7.0 / 4.0
assert q2 == 4.0
assert q3 == 23 / 4.0
assert q0 == -2.0 # min
assert q4 == 8.0 # max
b = [1.0, 4.0, 6.0, 8.0] # even test data
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
b, mode='extremes')
assert q2 == 5.0
c = [2.0, None, 4.0, 6.0, None] # odd with None elements
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
c, mode='extremes')
assert q2 == 4.0
d = [4]
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
d, mode='extremes')
assert q0 == 4
assert q1 == 4
assert q2 == 4
assert q3 == 4
assert q4 == 4
def test_quartiles():
a = [-2.0, 3.0, 4.0, 5.0, 8.0] # odd test data
q0, q1, q2, q3, q4 = Box._box_points(a)
assert q1 == 7.0 / 4.0
assert q2 == 4.0
assert q3 == 23 / 4.0
assert q0 == 7.0 / 4.0 - 6.0 # q1 - 1.5 * iqr
assert q4 == 23 / 4.0 + 6.0 # q3 + 1.5 * iqr
b = [1.0, 4.0, 6.0, 8.0] # even test data
q0, q1, q2, q3, q4 = Box._box_points(b)
assert q2 == 5.0
c = [2.0, None, 4.0, 6.0, None] # odd with None elements
q0, q1, q2, q3, q4 = Box._box_points(c)
assert q2 == 4.0
d = [4]
q0, q1, q2, q3, q4 = Box._box_points(d)
assert q0 == 4
assert q1 == 4
assert q2 == 4
assert q3 == 4
assert q4 == 4
def test_quartiles():
"""Test box points for the 1.5IQR computation method"""
a = [-2.0, 3.0, 4.0, 5.0, 8.0] # odd test data
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
a, mode='1.5IQR')
assert q1 == 7.0 / 4.0
assert q2 == 4.0
assert q3 == 23 / 4.0
assert q0 == 7.0 / 4.0 - 6.0 # q1 - 1.5 * iqr
assert q4 == 23 / 4.0 + 6.0 # q3 + 1.5 * iqr
b = [1.0, 4.0, 6.0, 8.0] # even test data
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
b, mode='1.5IQR')
assert q2 == 5.0
c = [2.0, None, 4.0, 6.0, None] # odd with None elements
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
c, mode='1.5IQR')
assert q2 == 4.0
d = [4]
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
d, mode='1.5IQR')
assert q0 == 4
assert q1 == 4
assert q2 == 4
assert q3 == 4
assert q4 == 4
def test_quartiles():
"""Test box points for the 1.5IQR computation method"""
a = [-2.0, 3.0, 4.0, 5.0, 8.0] # odd test data
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
a, mode='1.5IQR')
assert q1 == 7.0 / 4.0
assert q2 == 4.0
assert q3 == 23 / 4.0
assert q0 == 7.0 / 4.0 - 6.0 # q1 - 1.5 * iqr
assert q4 == 23 / 4.0 + 6.0 # q3 + 1.5 * iqr
b = [1.0, 4.0, 6.0, 8.0] # even test data
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
b, mode='1.5IQR')
assert q2 == 5.0
c = [2.0, None, 4.0, 6.0, None] # odd with None elements
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
c, mode='1.5IQR')
assert q2 == 4.0
d = [4]
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
d, mode='1.5IQR')
assert q0 == 4
assert q1 == 4
assert q2 == 4
assert q3 == 4
assert q4 == 4
def test_quartiles_min_extremes():
"""Test box points for the extremes computation method"""
a = [-2.0, 3.0, 4.0, 5.0, 8.0] # odd test data
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
a, mode='extremes')
assert q1 == 7.0 / 4.0
assert q2 == 4.0
assert q3 == 23 / 4.0
assert q0 == -2.0 # min
assert q4 == 8.0 # max
b = [1.0, 4.0, 6.0, 8.0] # even test data
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
b, mode='extremes')
assert q2 == 5.0
c = [2.0, None, 4.0, 6.0, None] # odd with None elements
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
c, mode='extremes')
assert q2 == 4.0
d = [4]
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
d, mode='extremes')
assert q0 == 4
assert q1 == 4
assert q2 == 4
assert q3 == 4
assert q4 == 4
def test_quartiles():
a = [-2.0, 3.0, 4.0, 5.0, 8.0] # odd test data
q0, q1, q2, q3, q4 = Box._box_points(a)
assert q1 == 7.0 / 4.0
assert q2 == 4.0
assert q3 == 23 / 4.0
assert q0 == 7.0 / 4.0 - 6.0 # q1 - 1.5 * iqr
assert q4 == 23 / 4.0 + 6.0 # q3 + 1.5 * iqr
b = [1.0, 4.0, 6.0, 8.0] # even test data
q0, q1, q2, q3, q4 = Box._box_points(b)
assert q2 == 5.0
c = [2.0, None, 4.0, 6.0, None] # odd with None elements
q0, q1, q2, q3, q4 = Box._box_points(c)
assert q2 == 4.0
d = [4]
q0, q1, q2, q3, q4 = Box._box_points(d)
assert q0 == 4
assert q1 == 4
assert q2 == 4
assert q3 == 4
assert q4 == 4
def test_quartiles_min_extremes():
a = [-2.0, 3.0, 4.0, 5.0, 8.0] # odd test data
q0, q1, q2, q3, q4 = Box._box_points(a, mode='extremes')
assert q1 == 7.0 / 4.0
assert q2 == 4.0
assert q3 == 23 / 4.0
assert q0 == -2.0 # min
assert q4 == 8.0 # max
b = [1.0, 4.0, 6.0, 8.0] # even test data
q0, q1, q2, q3, q4 = Box._box_points(b, mode='extremes')
assert q2 == 5.0
c = [2.0, None, 4.0, 6.0, None] # odd with None elements
q0, q1, q2, q3, q4 = Box._box_points(c, mode='extremes')
assert q2 == 4.0
d = [4]
q0, q1, q2, q3, q4 = Box._box_points(d, mode='extremes')
assert q0 == 4
assert q1 == 4
assert q2 == 4
assert q3 == 4
assert q4 == 4
def test_quartiles_tukey():
"""Test box points for the tukey computation method"""
a = [] # empty data
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
a, mode='tukey'
)
assert min_s == q0 == q1 == q2 == q3 == q4 == 0
assert outliers == []
# https://en.wikipedia.org/wiki/Quartile example 1
b = [6, 7, 15, 36, 39, 40, 41, 42, 43, 47, 49]
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
b, mode='tukey'
)
assert min_s == q0 == 6
assert q1 == 20.25
assert q2 == 40
assert q3 == 42.75
assert max_s == q4 == 49
assert outliers == []
# previous test with added outlier 75
c = [6, 7, 15, 36, 39, 40, 41, 42, 43, 47, 49, 75]
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
c, mode='tukey'
)
assert min_s == q0 == 6
assert q1 == 25.5
assert q2 == (40 + 41) / 2.0
assert q3 == 45
assert max_s == 75
assert outliers == [75]
# one more outlier, 77
c = [6, 7, 15, 36, 39, 40, 41, 42, 43, 47, 49, 75, 77]
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
c, mode='tukey'
)
assert min_s == q0 == 6
assert q1 == 30.75
assert q2 == 41
assert q3 == 47.5
assert max_s == 77
assert 75 in outliers
assert 77 in outliers
def test_quartiles_stdev():
a = [35, 42, 35, 41, 36, 6, 12, 51, 33, 27, 46, 36, 44, 53, 75, 46, 16,\
51, 45, 29, 25, 26, 54, 61, 27, 40, 23, 34, 51, 37]
SD = 14.67
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
a, mode='stdev')
assert min_s == min(a)
assert max_s == max(a)
assert q2 == 36.5
assert q4 <= q2 + SD
assert q0 >= q2 - SD
assert all(n in outliers for n in [6, 12, 16, 53, 54, 61, 75])
b = [5] # test for posible zero division
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
b, mode='stdev')
assert min_s == q0 == q1 == q2 == q3 == q4 == max_s == b[0]
assert outliers == []
def test_quartiles_stdev():
"""Test box points for the stdev computation method"""
a = [35, 42, 35, 41, 36, 6, 12, 51, 33, 27, 46, 36, 44, 53, 75, 46, 16,
51, 45, 29, 25, 26, 54, 61, 27, 40, 23, 34, 51, 37]
SD = 14.67
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
a, mode='stdev')
assert min_s == min(a)
assert max_s == max(a)
assert q2 == 36.5
assert q4 <= q2 + SD
assert q0 >= q2 - SD
assert all(n in outliers for n in [6, 12, 16, 53, 54, 61, 75])
b = [5] # test for posible zero division
(min_s, q0, q1, q2, q3, q4, max_s), outliers = Box._box_points(
b, mode='stdev')
assert min_s == q0 == q1 == q2 == q3 == q4 == max_s == b[0]
assert outliers == []