def test31(self):
"""independent unequal variance ttest
http://alamos.math.arizona.edu/~rychlik/math263/class_notes/Chapter7/R/"""
R = """t-Test: Two-Sample Assuming Unequal Variances
A B
=======================================
Mean 51.476 41.522
Variance 121.162 294.079
Observations 21 23
df 37.855
t Stat 2.311
P(T<=t) one-tail 0.013
t Critical one-tail 1.686
P(T<=t) two-tail 0.026
t Critical two-tail 2.025 """
A = [
24, 61, 59, 46, 43, 44, 52, 43, 58, 67, 62, 57, 71, 49, 54, 43, 53,
57, 49, 56, 33
]
B = [
42, 33, 46, 37, 43, 41, 10, 42, 55, 19, 17, 55, 26, 54, 60, 28, 62,
20, 53, 48, 37, 85, 42
]
D = Ttest()
D.run(A, B, equal_variance=False)
self.assertEqual(str(D), R)
def test3(self):
"""independent unequal variance ttest
http://alamos.math.arizona.edu/~rychlik/math263/class_notes/Chapter7/R/"""
R = OrderedDict([('t', 2.310889197854228),
('p2tail', 0.026382412254338405),
('p1tail', 0.013191206127169203), ('n1', 21),
('n2', 23), ('df', 37.855400659439084),
('mu1', 51.476190476190474),
('mu2', 41.52173913043478),
('var1', 121.16190476190475),
('var2', 294.0790513833993),
('tc2tail', 2.0246487110853195),
('tc1tail', 1.6861152835190296)])
A = [
24, 61, 59, 46, 43, 44, 52, 43, 58, 67, 62, 57, 71, 49, 54, 43, 53,
57, 49, 56, 33
]
B = [
42, 33, 46, 37, 43, 41, 10, 42, 55, 19, 17, 55, 26, 54, 60, 28, 62,
20, 53, 48, 37, 85, 42
]
D = Ttest()
D.run(A, B, equal_variance=False)
for k in R.keys():
self.assertTrue(D[k], R[k])
def test__repr__(self):
R="Ttest([('t', 2.310889197854228), ('p2tail', 0.026382412254338405), ('p1tail', 0.013191206127169203), ('n1', 21), ('n2', 23), ('df', 37.855400659439084), ('mu1', 51.476190476190474), ('mu2', 41.52173913043478), ('var1', 121.16190476190475), ('var2', 294.0790513833993), ('tc2tail', 2.0246487110853195), ('tc1tail', 1.6861152835190296)], equal_variance=False, aname='A', bname='B', type='t-Test: Two-Sample Assuming Unequal Variances')"
A=[24,61,59,46,43,44,52,43,58,67,62,57,71,49,54,43,53,57,49,56,33]
B=[42,33,46,37,43,41,10,42,55,19,17,55,26,54,60,28,62,20,53,48,37,85,42]
D=Ttest()
D.run(A,B,equal_variance=False)
self.assertEqual(repr(D),R)
def test0(self):
"""1 sample ttest"""
R=OrderedDict([('t', -17.797126310672542), ('p2tail', 1.0172137120313963e-07), ('p1tail', 5.086068560156982e-08), ('n', 9), ('df', 8), ('mu', 4.555555555555555), ('pop_mean', 20), ('var', 6.777777777777778), ('tc2tail', 2.3060059174895287), ('tc1tail', 1.8595485016703606)])
A=[3,4, 5,8,9, 1,2,4, 5]
pop_mean=20
D=Ttest()
D.run(A, pop_mean=pop_mean)
for k in R.keys():
self.assertTrue(D[k],R[k])
def test2(self):
"""independent unequal variance ttest"""
R=OrderedDict([('t', -1.7884967184189302), ('p2tail', 0.1002162848567985), ('p1tail', 0.05010814242839925), ('n1', 9), ('n2', 10), ('df', 11.425658453695835), ('mu1', 4.555555555555555), ('mu2', 9.0), ('var1', 6.777777777777777), ('var2', 54.22222222222222), ('tc2tail', 2.1910201758146286), ('tc1tail', 1.789783127605915)])
A=[3,4, 5,8,9, 1,2,4, 5]
B=[6,19,3,2,14,4,5,17,1,19]
D=Ttest()
D.run(A,B,equal_variance=False)
for k in R.keys():
self.assertTrue(D[k],R[k])
def test1(self):
"""independent equal variance ttest"""
R=OrderedDict([('t', -1.712764845721259), ('p2tail', 0.10493320627442616), ('p1tail', 0.05246660313721308), ('n1', 9), ('n2', 10), ('df', 17), ('mu1', 4.555555555555555), ('mu2', 9.0), ('var1', 6.777777777777777), ('var2', 54.22222222222222), ('vpooled', 31.895424836601304), ('tc2tail', 2.1098158322274685), ('tc1tail', 1.7396057955920696)])
A=[3,4, 5,8,9, 1,2,4, 5]
B=[6,19,3,2,14,4,5,17,1,19]
D=Ttest()
D.run(A,B,equal_variance=True)
for k in R.keys():
self.assertTrue(D[k],R[k])
def test0(self):
"""paired ttest"""
R=OrderedDict([('t', -1.4106912317171967), ('p2tail', 0.19601578492449323), ('p1tail', 0.09800789246224662), ('n1', 9), ('n2', 9), ('df', 8), ('mu1', 4.555555555555555), ('mu2', 7.888888888888889), ('var1', 6.777777777777778), ('var2', 47.111111111111114), ('tc2tail', 2.3060059174895287), ('tc1tail', 1.8595485016703606)])
A=[3,4, 5,8,9, 1,2,4, 5]
B=[6,19,3,2,14,4,5,17,1]
D=Ttest()
D.run(A,B,paired=True)
for k in R.keys():
self.assertTrue(D[k],R[k])
def test3(self):
"""independent unequal variance ttest
http://alamos.math.arizona.edu/~rychlik/math263/class_notes/Chapter7/R/"""
R=OrderedDict([('t', 2.310889197854228), ('p2tail', 0.026382412254338405), ('p1tail', 0.013191206127169203), ('n1', 21), ('n2', 23), ('df', 37.855400659439084), ('mu1', 51.476190476190474), ('mu2', 41.52173913043478), ('var1', 121.16190476190475), ('var2', 294.0790513833993), ('tc2tail', 2.0246487110853195), ('tc1tail', 1.6861152835190296)])
A=[24,61,59,46,43,44,52,43,58,67,62,57,71,49,54,43,53,57,49,56,33]
B=[42,33,46,37,43,41,10,42,55,19,17,55,26,54,60,28,62,20,53,48,37,85,42]
D=Ttest()
D.run(A,B,equal_variance=False)
for k in R.keys():
self.assertTrue(D[k],R[k])
def test21(self):
"""independent unequal variance ttest"""
R="""t-Test: Two-Sample Assuming Unequal Variances
A B
=====================================
Mean 4.556 9
Variance 6.778 54.222
Observations 9 10
df 11.426
t Stat -1.788
P(T<=t) one-tail 0.050
t Critical one-tail 1.790
P(T<=t) two-tail 0.100
t Critical two-tail 2.191 """
A=[3,4, 5,8,9, 1,2,4, 5]
B=[6,19,3,2,14,4,5,17,1,19]
D=Ttest()
D.run(A,B,equal_variance=False)
self.assertEqual(str(D),R)
def test31(self):
"""independent unequal variance ttest
http://alamos.math.arizona.edu/~rychlik/math263/class_notes/Chapter7/R/"""
R="""t-Test: Two-Sample Assuming Unequal Variances
A B
=======================================
Mean 51.476 41.522
Variance 121.162 294.079
Observations 21 23
df 37.855
t Stat 2.311
P(T<=t) one-tail 0.013
t Critical one-tail 1.686
P(T<=t) two-tail 0.026
t Critical two-tail 2.025 """
A=[24,61,59,46,43,44,52,43,58,67,62,57,71,49,54,43,53,57,49,56,33]
B=[42,33,46,37,43,41,10,42,55,19,17,55,26,54,60,28,62,20,53,48,37,85,42]
D=Ttest()
D.run(A,B,equal_variance=False)
self.assertEqual(str(D),R)
def test11(self):
"""independent equal variance ttest"""
R="""t-Test: Two-Sample Assuming Equal Variances
A B
=====================================
Mean 4.556 9
Variance 6.778 54.222
Observations 9 10
Pooled Variance 31.895
df 17
t Stat -1.713
P(T<=t) one-tail 0.052
t Critical one-tail 1.740
P(T<=t) two-tail 0.105
t Critical two-tail 2.110 """
A=[3,4, 5,8,9, 1,2,4, 5]
B=[6,19,3,2,14,4,5,17,1,19]
D=Ttest()
D.run(A,B,equal_variance=True)
self.assertEqual(str(D),R)
def test01(self):
"""paired ttest"""
R="""t-Test: Paired Two Sample for means
A B
=====================================
Mean 4.556 7.889
Variance 6.778 47.111
Observations 9 9
Pearson Correlation 0.102
df 8
t Stat -1.411
P(T<=t) one-tail 0.098
t Critical one-tail 1.860
P(T<=t) two-tail 0.196
t Critical two-tail 2.306 """
A=[3,4, 5,8,9, 1,2,4, 5]
B=[6,19,3,2,14,4,5,17,1]
D=Ttest()
D.run(A,B,paired=True)
self.assertEqual(str(D),R)