def test_means_qmean(self):
"""Test abydos.stats.qmean."""
self.assertAlmostEqual(qmean(self._ones), 1)
self.assertAlmostEqual(qmean(self._zeros), 0)
self.assertAlmostEqual(qmean(self._one_to_five), 3.3166247903554)
self.assertAlmostEqual(qmean(self._onethreefive), 3.492849839314596)
self.assertAlmostEqual(qmean(self._floats), 0.4477722635447623)
def test_means_qmean(self):
"""Test abydos.stats.qmean."""
self.assertAlmostEqual(qmean(self._ones), 1)
self.assertAlmostEqual(qmean(self._zeros), 0)
self.assertAlmostEqual(qmean(self._one_to_five), 3.3166247903554)
self.assertAlmostEqual(qmean(self._onethreefive), 3.492849839314596)
self.assertAlmostEqual(qmean(self._floats), 0.4477722635447623)
def test_means(self):
"""Test abydos.stats means."""
_ones = [1, 1, 1, 1, 1]
_zeros = [0, 0, 0, 0, 0]
_one_to_five = [1, 2, 3, 4, 5]
_onethreefive = [1, 1, 3, 5, 5]
_floats = [0.5, 0.8, 0.1, 0.2, 0.25]
self.assertAlmostEqual(amean(_ones), 1)
self.assertAlmostEqual(amean(_zeros), 0)
self.assertAlmostEqual(amean(_one_to_five), 3)
self.assertAlmostEqual(amean(_onethreefive), 3)
self.assertAlmostEqual(amean(_floats), 0.37)
self.assertAlmostEqual(gmean(_ones), 1)
self.assertAlmostEqual(gmean(_zeros), 0)
self.assertAlmostEqual(gmean(_one_to_five), 2.605171084697352)
self.assertAlmostEqual(gmean(_onethreefive), 2.3714406097793117)
self.assertAlmostEqual(gmean(_floats), 0.2885399811814427)
self.assertAlmostEqual(hmean(_ones), 1)
self.assertAlmostEqual(hmean(_zeros), 0)
self.assertAlmostEqual(hmean(_one_to_five), 2.18978102189781)
self.assertAlmostEqual(hmean(_onethreefive), 1.8292682926829265)
self.assertAlmostEqual(hmean(_floats), 0.2247191011235955)
self.assertEqual(hmean([0, 1, 2]), 0)
self.assertEqual(hmean([1, 2, 3, 0]), 0)
self.assertTrue(isnan(hmean([0, 0, 1, 2])))
self.assertTrue(isnan(hmean([1, 0, 2, 0, 3])))
self.assertTrue(isnan(hmean([1, 0, 2, 0, 3, 0])))
self.assertTrue(isnan(hmean([1, 0, 2, 0, 3, 0, 0])))
self.assertEqual(hmean([0, 0]), 0)
self.assertEqual(hmean([5, 5, 5, 5, 5]), 5)
self.assertEqual(hmean([0]), 0)
self.assertEqual(hmean([8]), 8)
self.assertRaises(AttributeError, hmean, ([]))
self.assertAlmostEqual(qmean(_ones), 1)
self.assertAlmostEqual(qmean(_zeros), 0)
self.assertAlmostEqual(qmean(_one_to_five), 3.3166247903554)
self.assertAlmostEqual(qmean(_onethreefive), 3.492849839314596)
self.assertAlmostEqual(qmean(_floats), 0.4477722635447623)
self.assertAlmostEqual(cmean(_ones), 1)
self.assertAlmostEqual(cmean(_one_to_five), 3.6666666666666665)
self.assertAlmostEqual(cmean(_onethreefive), 4.066666666666666)
self.assertAlmostEqual(cmean(_floats), 0.5418918918918919)
self.assertAlmostEqual(lmean(_one_to_five), 2.6739681320855766)
self.assertAlmostEqual(lmean(_floats), 0.301387278840469)
self.assertRaises(AttributeError, lmean, (1, 1))
self.assertRaises(AttributeError, lmean, (0.15, 0.15))
_2ones = [1, 1]
_2zeros = [0, 0]
_onetwo = [1, 2]
_2floats = [0.5, 0.25]
self.assertRaises(AttributeError, imean, _ones)
self.assertRaises(AttributeError, imean, _zeros)
self.assertRaises(AttributeError, imean, _one_to_five)
self.assertRaises(AttributeError, imean, _onethreefive)
self.assertRaises(AttributeError, imean, _floats)
self.assertAlmostEqual(imean(_2ones), 1)
self.assertTrue(isnan(imean(_2zeros)))
self.assertAlmostEqual(imean(_onetwo), 1.4715177646857693)
self.assertAlmostEqual(imean(_2floats), 0.36787944117144233)
self.assertEqual(imean([1]), 1)
self.assertEqual(imean([0.05]), 0.05)
self.assertRaises(AttributeError, seiffert_mean, _ones)
self.assertRaises(AttributeError, seiffert_mean, _zeros)
self.assertRaises(AttributeError, seiffert_mean, _one_to_five)
self.assertRaises(AttributeError, seiffert_mean, _onethreefive)
self.assertRaises(AttributeError, seiffert_mean, _floats)
self.assertAlmostEqual(seiffert_mean(_onetwo), 1.4712939827611637)
self.assertAlmostEqual(seiffert_mean(_2floats), 0.36782349569029094)
self.assertEqual(seiffert_mean([1]), 1)
self.assertEqual(seiffert_mean([0.05]), 0.05)
self.assertAlmostEqual(lehmer_mean(_ones), 1)
self.assertAlmostEqual(lehmer_mean(_one_to_five), 3.6666666666666665)
self.assertAlmostEqual(lehmer_mean(_onethreefive), 4.066666666666666)
self.assertAlmostEqual(lehmer_mean(_floats), 0.5418918918918919)
self.assertAlmostEqual(heronian_mean(_ones), 1)
self.assertAlmostEqual(heronian_mean(_zeros), 0)
self.assertAlmostEqual(heronian_mean(_one_to_five), 2.8421165194322837)
self.assertAlmostEqual(heronian_mean(_onethreefive),
2.7436226811701165)
self.assertAlmostEqual(heronian_mean(_floats), 0.33526945542427006)
self.assertAlmostEqual(hoelder_mean(_ones), 1)
self.assertAlmostEqual(hoelder_mean(_zeros), 0)
self.assertAlmostEqual(hoelder_mean(_one_to_five), 3.3166247903554)
self.assertAlmostEqual(hoelder_mean(_onethreefive), 3.492849839314596)
self.assertAlmostEqual(hoelder_mean(_floats), 0.4477722635447623)
self.assertAlmostEqual(agmean(_ones), 1)
self.assertAlmostEqual(agmean(_zeros), 0)
self.assertAlmostEqual(agmean(_one_to_five), 2.799103662640505)
self.assertAlmostEqual(agmean(_onethreefive), 2.6764865062631356)
self.assertAlmostEqual(agmean(_floats), 0.32800436242611486)
self.assertAlmostEqual(ghmean(_ones), 1)
self.assertAlmostEqual(ghmean(_one_to_five), 2.3839666656453167)
self.assertAlmostEqual(ghmean(_onethreefive), 2.0740491019412035)
self.assertAlmostEqual(ghmean(_floats), 0.2536468771476393)
self.assertAlmostEqual(aghmean(_ones), 1)
self.assertAlmostEqual(aghmean(_one_to_five), 2.5769530579812563)
self.assertAlmostEqual(aghmean(_onethreefive), 2.3520502484275387)
self.assertAlmostEqual(aghmean(_floats), 0.28841285333045547)
self.assertAlmostEqual(midrange(_ones), 1)
self.assertAlmostEqual(midrange(_zeros), 0)
self.assertAlmostEqual(midrange(_one_to_five), 3)
self.assertAlmostEqual(midrange(_onethreefive), 3)
self.assertAlmostEqual(midrange(_floats), 0.45)
self.assertAlmostEqual(median(_ones), 1)
self.assertAlmostEqual(median(_zeros), 0)
self.assertAlmostEqual(median(_one_to_five), 3)
self.assertAlmostEqual(median(_onethreefive), 3)
self.assertAlmostEqual(median(_floats), 0.25)
self.assertAlmostEqual(median([0, 2, 4, 8]), 3)
self.assertAlmostEqual(median([0.01, 0.2, 0.4, 5]), 0.3)
self.assertEqual(mode(_ones), 1)
self.assertEqual(mode(_zeros), 0)
self.assertEqual(mode([1, 1, 2, 2, 2]), 2)
self.assertEqual(mode([1, 5, 5, 2, 5, 2]), 5)
def test_means(self):
"""test abydos.stats means
"""
_ones = [1, 1, 1, 1, 1]
_zeros = [0, 0, 0, 0, 0]
_one_to_five = [1, 2, 3, 4, 5]
_onethreefive = [1, 1, 3, 5, 5]
_floats = [0.5, 0.8, 0.1, 0.2, 0.25]
self.assertAlmostEqual(amean(_ones), 1)
self.assertAlmostEqual(amean(_zeros), 0)
self.assertAlmostEqual(amean(_one_to_five), 3)
self.assertAlmostEqual(amean(_onethreefive), 3)
self.assertAlmostEqual(amean(_floats), 0.37)
self.assertAlmostEqual(gmean(_ones), 1)
self.assertAlmostEqual(gmean(_zeros), 0)
self.assertAlmostEqual(gmean(_one_to_five), 2.605171084697352)
self.assertAlmostEqual(gmean(_onethreefive), 2.3714406097793117)
self.assertAlmostEqual(gmean(_floats), 0.2885399811814427)
self.assertAlmostEqual(hmean(_ones), 1)
self.assertAlmostEqual(hmean(_zeros), 0)
self.assertAlmostEqual(hmean(_one_to_five), 2.18978102189781)
self.assertAlmostEqual(hmean(_onethreefive), 1.8292682926829265)
self.assertAlmostEqual(hmean(_floats), 0.2247191011235955)
self.assertEqual(hmean([0, 1, 2]), 0)
self.assertEqual(hmean([1, 2, 3, 0]), 0)
self.assertTrue(isnan(hmean([0, 0, 1, 2])))
self.assertTrue(isnan(hmean([1, 0, 2, 0, 3])))
self.assertTrue(isnan(hmean([1, 0, 2, 0, 3, 0])))
self.assertTrue(isnan(hmean([1, 0, 2, 0, 3, 0, 0])))
self.assertEqual(hmean([0, 0]), 0)
self.assertEqual(hmean([5, 5, 5, 5, 5]), 5)
self.assertEqual(hmean([0]), 0)
self.assertEqual(hmean([8]), 8)
self.assertRaises(AttributeError, hmean, ([]))
self.assertAlmostEqual(qmean(_ones), 1)
self.assertAlmostEqual(qmean(_zeros), 0)
self.assertAlmostEqual(qmean(_one_to_five), 3.3166247903554)
self.assertAlmostEqual(qmean(_onethreefive), 3.492849839314596)
self.assertAlmostEqual(qmean(_floats), 0.4477722635447623)
self.assertAlmostEqual(cmean(_ones), 1)
self.assertAlmostEqual(cmean(_one_to_five), 3.6666666666666665)
self.assertAlmostEqual(cmean(_onethreefive), 4.066666666666666)
self.assertAlmostEqual(cmean(_floats), 0.5418918918918919)
self.assertAlmostEqual(lmean(_one_to_five), 2.6739681320855766)
self.assertAlmostEqual(lmean(_floats), 0.301387278840469)
self.assertRaises(AttributeError, lmean, (1, 1))
self.assertRaises(AttributeError, lmean, (0.15, 0.15))
_2ones = [1, 1]
_2zeros = [0, 0]
_onetwo = [1, 2]
_2floats = [0.5, 0.25]
self.assertRaises(AttributeError, imean, _ones)
self.assertRaises(AttributeError, imean, _zeros)
self.assertRaises(AttributeError, imean, _one_to_five)
self.assertRaises(AttributeError, imean, _onethreefive)
self.assertRaises(AttributeError, imean, _floats)
self.assertAlmostEqual(imean(_2ones), 1)
self.assertTrue(isnan(imean(_2zeros)))
self.assertAlmostEqual(imean(_onetwo), 1.4715177646857693)
self.assertAlmostEqual(imean(_2floats), 0.36787944117144233)
self.assertEqual(imean([1]), 1)
self.assertEqual(imean([0.05]), 0.05)
self.assertRaises(AttributeError, seiffert_mean, _ones)
self.assertRaises(AttributeError, seiffert_mean, _zeros)
self.assertRaises(AttributeError, seiffert_mean, _one_to_five)
self.assertRaises(AttributeError, seiffert_mean, _onethreefive)
self.assertRaises(AttributeError, seiffert_mean, _floats)
self.assertAlmostEqual(seiffert_mean(_onetwo), 1.4712939827611637)
self.assertAlmostEqual(seiffert_mean(_2floats), 0.36782349569029094)
self.assertEqual(seiffert_mean([1]), 1)
self.assertEqual(seiffert_mean([0.05]), 0.05)
self.assertAlmostEqual(lehmer_mean(_ones), 1)
self.assertAlmostEqual(lehmer_mean(_one_to_five), 3.6666666666666665)
self.assertAlmostEqual(lehmer_mean(_onethreefive), 4.066666666666666)
self.assertAlmostEqual(lehmer_mean(_floats), 0.5418918918918919)
self.assertAlmostEqual(heronian_mean(_ones), 1)
self.assertAlmostEqual(heronian_mean(_zeros), 0)
self.assertAlmostEqual(heronian_mean(_one_to_five), 2.8421165194322837)
self.assertAlmostEqual(heronian_mean(_onethreefive),
2.7436226811701165)
self.assertAlmostEqual(heronian_mean(_floats), 0.33526945542427006)
self.assertAlmostEqual(hoelder_mean(_ones), 1)
self.assertAlmostEqual(hoelder_mean(_zeros), 0)
self.assertAlmostEqual(hoelder_mean(_one_to_five), 3.3166247903554)
self.assertAlmostEqual(hoelder_mean(_onethreefive), 3.492849839314596)
self.assertAlmostEqual(hoelder_mean(_floats), 0.4477722635447623)
self.assertAlmostEqual(agmean(_ones), 1)
self.assertAlmostEqual(agmean(_zeros), 0)
self.assertAlmostEqual(agmean(_one_to_five), 2.799103662640505)
self.assertAlmostEqual(agmean(_onethreefive), 2.6764865062631356)
self.assertAlmostEqual(agmean(_floats), 0.32800436242611486)
self.assertAlmostEqual(ghmean(_ones), 1)
self.assertAlmostEqual(ghmean(_one_to_five), 2.3839666656453167)
self.assertAlmostEqual(ghmean(_onethreefive), 2.0740491019412035)
self.assertAlmostEqual(ghmean(_floats), 0.2536468771476393)
self.assertAlmostEqual(aghmean(_ones), 1)
self.assertAlmostEqual(aghmean(_one_to_five), 2.5769530579812563)
self.assertAlmostEqual(aghmean(_onethreefive), 2.3520502484275387)
self.assertAlmostEqual(aghmean(_floats), 0.28841285333045547)
self.assertAlmostEqual(midrange(_ones), 1)
self.assertAlmostEqual(midrange(_zeros), 0)
self.assertAlmostEqual(midrange(_one_to_five), 3)
self.assertAlmostEqual(midrange(_onethreefive), 3)
self.assertAlmostEqual(midrange(_floats), 0.45)
self.assertAlmostEqual(median(_ones), 1)
self.assertAlmostEqual(median(_zeros), 0)
self.assertAlmostEqual(median(_one_to_five), 3)
self.assertAlmostEqual(median(_onethreefive), 3)
self.assertAlmostEqual(median(_floats), 0.25)
self.assertAlmostEqual(median([0, 2, 4, 8]), 3)
self.assertAlmostEqual(median([0.01, 0.2, 0.4, 5]), 0.3)
self.assertEqual(mode(_ones), 1)
self.assertEqual(mode(_zeros), 0)
self.assertEqual(mode([1, 1, 2, 2, 2]), 2)
self.assertEqual(mode([1, 5, 5, 2, 5, 2]), 5)