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# Author: Travis Oliphant, 2002
#
# Further enhancements and tests added by numerous SciPy developers.
#
import warnings
from numpy.testing import TestCase, run_module_suite, assert_array_equal, \
assert_almost_equal, assert_array_less, assert_array_almost_equal, \
assert_raises, assert_
import scipy.stats as stats
import numpy as np
from numpy.random import RandomState
g1 = [1.006, 0.996, 0.998, 1.000, 0.992, 0.993, 1.002, 0.999, 0.994, 1.000]
g2 = [0.998, 1.006, 1.000, 1.002, 0.997, 0.998, 0.996, 1.000, 1.006, 0.988]
g3 = [0.991, 0.987, 0.997, 0.999, 0.995, 0.994, 1.000, 0.999, 0.996, 0.996]
g4 = [1.005, 1.002, 0.994, 1.000, 0.995, 0.994, 0.998, 0.996, 1.002, 0.996]
g5 = [0.998, 0.998, 0.982, 0.990, 1.002, 0.984, 0.996, 0.993, 0.980, 0.996]
g6 = [1.009, 1.013, 1.009, 0.997, 0.988, 1.002, 0.995, 0.998, 0.981, 0.996]
g7 = [0.990, 1.004, 0.996, 1.001, 0.998, 1.000, 1.018, 1.010, 0.996, 1.002]
g8 = [0.998, 1.000, 1.006, 1.000, 1.002, 0.996, 0.998, 0.996, 1.002, 1.006]
g9 = [1.002, 0.998, 0.996, 0.995, 0.996, 1.004, 1.004, 0.998, 0.999, 0.991]
g10= [0.991, 0.995, 0.984, 0.994, 0.997, 0.997, 0.991, 0.998, 1.004, 0.997]
class TestShapiro(TestCase):
def test_basic(self):
x1 = [0.11,7.87,4.61,10.14,7.95,3.14,0.46,
4.43,0.21,4.75,0.71,1.52,3.24,
0.93,0.42,4.97,9.53,4.55,0.47,6.66]
w,pw = stats.shapiro(x1)
assert_almost_equal(w,0.90047299861907959,6)
assert_almost_equal(pw,0.042089745402336121,6)
x2 = [1.36,1.14,2.92,2.55,1.46,1.06,5.27,-1.11,
3.48,1.10,0.88,-0.51,1.46,0.52,6.20,1.69,
0.08,3.67,2.81,3.49]
w,pw = stats.shapiro(x2)
assert_almost_equal(w,0.9590270,6)
assert_almost_equal(pw,0.52460,3)
def test_bad_arg(self):
# Length of x is less than 3.
x = [1]
assert_raises(ValueError, stats.shapiro, x)
class TestAnderson(TestCase):
def test_normal(self):
rs = RandomState(1234567890)
x1 = rs.standard_exponential(size=50)
x2 = rs.standard_normal(size=50)
A,crit,sig = stats.anderson(x1)
assert_array_less(crit[:-1], A)
A,crit,sig = stats.anderson(x2)
assert_array_less(A, crit[-2:])
def test_expon(self):
rs = RandomState(1234567890)
x1 = rs.standard_exponential(size=50)
x2 = rs.standard_normal(size=50)
A,crit,sig = stats.anderson(x1,'expon')
assert_array_less(A, crit[-2:])
olderr = np.seterr(all='ignore')
try:
A,crit,sig = stats.anderson(x2,'expon')
finally:
np.seterr(**olderr)
assert_(A > crit[-1])
def test_bad_arg(self):
assert_raises(ValueError, stats.anderson, [1], dist='plate_of_shrimp')
class TestAnsari(TestCase):
def test_small(self):
x = [1,2,3,3,4]
y = [3,2,6,1,6,1,4,1]
W, pval = stats.ansari(x,y)
assert_almost_equal(W,23.5,11)
assert_almost_equal(pval,0.13499256881897437,11)
def test_approx(self):
ramsay = np.array((111, 107, 100, 99, 102, 106, 109, 108, 104, 99,
101, 96, 97, 102, 107, 113, 116, 113, 110, 98))
parekh = np.array((107, 108, 106, 98, 105, 103, 110, 105, 104,
100, 96, 108, 103, 104, 114, 114, 113, 108, 106, 99))
W, pval = stats.ansari(ramsay, parekh)
assert_almost_equal(W,185.5,11)
assert_almost_equal(pval,0.18145819972867083,11)
def test_exact(self):
W,pval = stats.ansari([1,2,3,4],[15,5,20,8,10,12])
assert_almost_equal(W,10.0,11)
assert_almost_equal(pval,0.533333333333333333,7)
def test_bad_arg(self):
assert_raises(ValueError, stats.ansari, [], [1])
assert_raises(ValueError, stats.ansari, [1], [])
warnings.filterwarnings('ignore',
message="Ties preclude use of exact statistic.")
class TestBartlett(TestCase):
def test_data(self):
args = [g1, g2, g3, g4, g5, g6, g7, g8, g9, g10]
T, pval = stats.bartlett(*args)
assert_almost_equal(T,20.78587342806484,7)
assert_almost_equal(pval,0.0136358632781,7)
def test_bad_arg(self):
"""Too few args raises ValueError."""
assert_raises(ValueError, stats.bartlett, [1])
class TestLevene(TestCase):
def test_data(self):
args = [g1, g2, g3, g4, g5, g6, g7, g8, g9, g10]
W, pval = stats.levene(*args)
assert_almost_equal(W,1.7059176930008939,7)
assert_almost_equal(pval,0.0990829755522,7)
def test_trimmed1(self):
"""Test that center='trimmed' gives the same result as center='mean' when proportiontocut=0."""
W1, pval1 = stats.levene(g1, g2, g3, center='mean')
W2, pval2 = stats.levene(g1, g2, g3, center='trimmed', proportiontocut=0.0)
assert_almost_equal(W1, W2)
assert_almost_equal(pval1, pval2)
def test_trimmed2(self):
x = [1.2, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 100.0]
y = [0.0, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5, 200.0]
# Use center='trimmed'
W1, pval1 = stats.levene(x, y, center='trimmed', proportiontocut=0.125)
# Trim the data here, and use center='mean'
W2, pval2 = stats.levene(x[1:-1], y[1:-1], center='mean')
# Result should be the same.
assert_almost_equal(W1, W2)
assert_almost_equal(pval1, pval2)
def test_equal_mean_median(self):
x = np.linspace(-1,1,21)
y = x**3
W1, pval1 = stats.levene(x, y, center='mean')
W2, pval2 = stats.levene(x, y, center='median')
assert_almost_equal(W1, W2)
assert_almost_equal(pval1, pval2)
def test_bad_keyword(self):
x = np.linspace(-1,1,21)
assert_raises(TypeError, stats.levene, x, x, portiontocut=0.1)
def test_bad_center_value(self):
x = np.linspace(-1,1,21)
assert_raises(ValueError, stats.levene, x, x, center='trim')
def test_too_few_args(self):
assert_raises(ValueError, stats.levene, [1])
class TestBinomP(TestCase):
def test_data(self):
pval = stats.binom_test(100,250)
assert_almost_equal(pval,0.0018833009350757682,11)
pval = stats.binom_test(201,405)
assert_almost_equal(pval,0.92085205962670713,11)
pval = stats.binom_test([682,243],p=3.0/4)
assert_almost_equal(pval,0.38249155957481695,11)
def test_bad_len_x(self):
"""Length of x must be 1 or 2."""
assert_raises(ValueError, stats.binom_test, [1,2,3])
def test_bad_n(self):
"""len(x) is 1, but n is invalid."""
# Missing n
assert_raises(ValueError, stats.binom_test, [100])
# n less than x[0]
assert_raises(ValueError, stats.binom_test, [100], n=50)
def test_bad_p(self):
assert_raises(ValueError, stats.binom_test, [50, 50], p=2.0)
class TestFindRepeats(TestCase):
def test_basic(self):
a = [1,2,3,4,1,2,3,4,1,2,5]
res,nums = stats.find_repeats(a)
assert_array_equal(res,[1,2,3,4])
assert_array_equal(nums,[3,3,2,2])
class TestFligner(TestCase):
def test_data(self):
# numbers from R: fligner.test in package stats
x1 = np.arange(5)
assert_array_almost_equal(stats.fligner(x1,x1**2),
(3.2282229927203536, 0.072379187848207877), 11)
def test_trimmed1(self):
"""Test that center='trimmed' gives the same result as center='mean' when proportiontocut=0."""
Xsq1, pval1 = stats.fligner(g1, g2, g3, center='mean')
Xsq2, pval2 = stats.fligner(g1, g2, g3, center='trimmed', proportiontocut=0.0)
assert_almost_equal(Xsq1, Xsq2)
assert_almost_equal(pval1, pval2)
def test_trimmed2(self):
x = [1.2, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 100.0]
y = [0.0, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5, 200.0]
# Use center='trimmed'
Xsq1, pval1 = stats.fligner(x, y, center='trimmed', proportiontocut=0.125)
# Trim the data here, and use center='mean'
Xsq2, pval2 = stats.fligner(x[1:-1], y[1:-1], center='mean')
# Result should be the same.
assert_almost_equal(Xsq1, Xsq2)
assert_almost_equal(pval1, pval2)
# The following test looks reasonable at first, but fligner() uses the
# function stats.rankdata(), and in one of the cases in this test,
# there are ties, while in the other (because of normal rounding
# errors) there are not. This difference leads to differences in the
# third significant digit of W.
#
#def test_equal_mean_median(self):
# x = np.linspace(-1,1,21)
# y = x**3
# W1, pval1 = stats.fligner(x, y, center='mean')
# W2, pval2 = stats.fligner(x, y, center='median')
# assert_almost_equal(W1, W2)
# assert_almost_equal(pval1, pval2)
def test_bad_keyword(self):
x = np.linspace(-1,1,21)
assert_raises(TypeError, stats.fligner, x, x, portiontocut=0.1)
def test_bad_center_value(self):
x = np.linspace(-1,1,21)
assert_raises(ValueError, stats.fligner, x, x, center='trim')
def test_bad_num_args(self):
"""Too few args raises ValueError."""
assert_raises(ValueError, stats.fligner, [1])
def test_mood():
# numbers from R: mood.test in package stats
x1 = np.arange(5)
assert_array_almost_equal(stats.mood(x1,x1**2),
(-1.3830857299399906, 0.16663858066771478), 11)
def test_mood_bad_arg():
"""Raise ValueError when the sum of the lengths of the args is less than 3."""
assert_raises(ValueError, stats.mood, [1], [])
def test_oneway_bad_arg():
"""Raise ValueError is fewer than two args are given."""
assert_raises(ValueError, stats.oneway, [1])
def test_wilcoxon_bad_arg():
"""Raise ValueError when two args of different lengths are given."""
assert_raises(ValueError, stats.wilcoxon, [1], [1,2])
def test_mvsdist_bad_arg():
"""Raise ValueError if fewer than two data points are given."""
data = [1]
assert_raises(ValueError, stats.mvsdist, data)
def test_kstat_bad_arg():
"""Raise ValueError if n > 4 or n > 1."""
data = [1]
n = 10
assert_raises(ValueError, stats.kstat, data, n=n)
def test_kstatvar_bad_arg():
"""Raise ValueError is n is not 1 or 2."""
data = [1]
n = 10
assert_raises(ValueError, stats.kstatvar, data, n=n)
def test_probplot_bad_arg():
"""Raise ValueError when given an invalid distribution."""
data = [1]
assert_raises(ValueError, stats.probplot, data, dist="plate_of_shrimp")
def test_ppcc_max_bad_arg():
"""Raise ValueError when given an invalid distribution."""
data = [1]
assert_raises(ValueError, stats.ppcc_max, data, dist="plate_of_shrimp")
def test_boxcox_bad_arg():
"""Raise ValueError if any data value is negative."""
x = np.array([-1])
assert_raises(ValueError, stats.boxcox, x)
if __name__ == "__main__":
run_module_suite()
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