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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Moduleskewkurt.wasp
Title produced by softwareSkewness and Kurtosis
Date of computationMon, 29 Nov 2010 19:17:23 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/29/t12910581521g2jfu4t3z4qkee.htm/, Retrieved Mon, 29 Apr 2024 16:06:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103043, Retrieved Mon, 29 Apr 2024 16:06:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Skewness and Kurtosis] [] [2010-11-29 17:29:37] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D  [Skewness and Kurtosis] [] [2010-11-29 17:35:36] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D    [Skewness and Kurtosis] [] [2010-11-29 17:37:34] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D      [Skewness and Kurtosis] [] [2010-11-29 17:39:18] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D        [Skewness and Kurtosis] [] [2010-11-29 17:41:39] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D          [Skewness and Kurtosis] [] [2010-11-29 17:44:08] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D            [Skewness and Kurtosis] [] [2010-11-29 17:45:30] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D              [Skewness and Kurtosis] [] [2010-11-29 17:46:57] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                [Skewness and Kurtosis] [] [2010-11-29 17:48:57] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                  [Skewness and Kurtosis] [] [2010-11-29 17:58:21] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                    [Skewness and Kurtosis] [] [2010-11-29 18:00:24] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                      [Skewness and Kurtosis] [] [2010-11-29 18:02:07] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                        [Skewness and Kurtosis] [] [2010-11-29 18:03:42] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                          [Skewness and Kurtosis] [] [2010-11-29 18:05:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                            [Skewness and Kurtosis] [] [2010-11-29 18:07:05] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                              [Skewness and Kurtosis] [] [2010-11-29 18:08:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                [Skewness and Kurtosis] [] [2010-11-29 18:10:34] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                  [Skewness and Kurtosis] [] [2010-11-29 18:11:36] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                    [Skewness and Kurtosis] [] [2010-11-29 18:13:28] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                      [Skewness and Kurtosis] [] [2010-11-29 18:15:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                        [Skewness and Kurtosis] [] [2010-11-29 18:21:56] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                          [Skewness and Kurtosis] [] [2010-11-29 18:24:10] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                            [Skewness and Kurtosis] [] [2010-11-29 18:26:31] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                              [Skewness and Kurtosis] [] [2010-11-29 18:28:06] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                [Skewness and Kurtosis] [] [2010-11-29 18:29:55] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                  [Skewness and Kurtosis] [] [2010-11-29 18:31:43] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                      [Skewness and Kurtosis] [] [2010-11-29 19:17:23] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    D                                                        [Skewness and Kurtosis] [] [2010-11-29 19:19:08] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                          [Skewness and Kurtosis] [] [2010-11-29 19:20:37] [7d64bf19f34ddcdf2626356c9d5bd60d]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1389.27
1394.87
1402.11
1395.51
1412.78
1408.33
1396.29
1394.09
1402.58
1416.28
1421.79
1389.58
1352.91
1360.64
1324.78
1297.43
1326.83
1342.59
1352.75
1384.56
1399.83
1375.97
1374.44
1333.5
1341.64
1332.28
1310.99
1321.66
1335.23
1320.79
1328.21
1303.84
1314.32
1332.73
1348.25
1346.49
1340.58
1361.23
1365.82
1374.88
1371.59
1367.7
1328.95
1344.76
1316.67
1314.05
1311.21
1320.07
1338.28
1326.3
1333.98
1335.98
1341.12
1346.69
1336.65
1309.83
1312.26
1321.23
1330.34
1331.31
1332.72
1338.14
1359.6
1379.75
1385.64
1388.77
1397
1402.36
1398.29
1386.08
1383.59
1405.72
1432.72
1422.63
1427
1437.84
1434.15
1451.31
1430.94
1431.15
1451.22
1452.53
1419.73
1434.9
1435.17
1441.02
1452.23
1450.44
1451.09
1464.7
1445.2
1413.98
1382.11
1401.47
1365.15
1372.29
1338.59
1329.86
1333.38
1295.76
1322.43
1329.22
1317.7
1295.09
1309.04
1301.62
1266.84
1223.13
1235.65
1239.84
1203.86
1221.73
1219.4
1262.19
1251.67
1225.83
1227.19
1238.83
1228.62
1238.05
1247.54
1238.71
1263.02
1295.15
1294.61
1285.92
1279.85
1263.96
1273.93
1299.29
1300.44
1296.69
1285.02
1255.13
1233.42
1233.65
1273.3
1271.33
1263.35
1279.77
1279.08
1296.27
1297.07
1297.82
1287.36
1295.11
1292.05
1304.51
1289.54
1311.1
1314.93
1304.31
1292.1
1295.11
1315.61
1327.78
1331.1
1321.67
1334.96
1324.95
1315.73
1329.35
1327.89
1344.61
1341.35
1352.74
1356.67
1359.06
1361.24
1357.01
1351.17
1354.89
1334.08
1328.04
1333.13
1358.75
1361.1
1374.3
1373.95
1366.44
1366.79
1348.38
1355.21
1343.97
1360.03
1371.43
1371.41
1374.22
1352
1319.4
1328.37
1325.49
1331.78
1348.6
1356.72
1351.3
1354.26
1354.06
1364.24
1364.95
1366.5
1371.43
1373.65
1369.09
1356.11
1364.55
1374.35
1383.73
1383.88
1379.19
1387.44
1380.07
1399.44
1395.73
1396.69
1407.37
1412.54
1410.75
1412.22
1402.21
1405.9
1422.54
1419.23
1421.73
1425.13
1411.47
1422.55
1432.21
1434.36
1426.46
1420.59
1413.73
1410.3
1390.43
1390.73
1376.98
1383.28
1418.38
1421.87
1433.23
1427.76
1442.28
1436.47
1437.49
1433.92
1425.1
1434.46
1435.26
1409.35
1397.29
1385.76
1370.81
1374.34
1355.79
1365.31
1388.37
1390.96
1389.71
1379.48
1383.21
1360.56
1363.41
1363.09
1383.06
1382.36
1371.33
1363.1
1370.72
1360.23
1382.9
1413.14
1417.95
1428.58
1426.29
1423.58
1427.68
1414.29
1418.44
1436.1
1443.63
1448.81
1452.96
1451.38
1465.41
1469.88
1470.03
1454.6
1417.34
1414.47
1376.15
1402.93
1410.95
1423.89
1423.58
1441.33
1436.05
1407.37
1426.93
1427.88
1443.39
1444.17
1442.85
1448.53
1447.38
1449.77
1453.23
1439.74
1450.95
1452.55
1459.53
1463.75
1483.41
1482.04
1484.15
1501.06
1499.16
1513.42
1525.61
1520.78
1532.04
1528.66
1534.58
1513.66
1533.08
1544.35
1556.71
1545.55
1553.13
1542.52
1542.24
1553.3
1559.86
1567.74
1584.46
1582.65
1593.42
1599.68
1603.56
1605.77
1589.37
1600.6
1615.58
1612.25
1628.2
1642.88
1646.59
1644.56
1657.91
1661.8
1662.72
1700.91
1716.24
1737.59
1742.19
1753.04
1727.28
1716.56
1729.88
1721.99
1769.18
1772.26
1806.88
1807.85
1783.79
1794.24
1770.98
1757.73
1749.55
1733.1
1751.75
1743.6
1771.35
1805.5
1838.41
1847.79
1861.01
1883.59
1894.53
1889.96
1909.75
1962.93
1949.51
1930.7
1937.9
1983.54
1993.05
1992.26
2004.22
1963.54
1883.22
1906.71
1933.27
1856.45
1853.07
1876.8
1855.05
1859.82
1903.41
1908.68
1828.49
1849.26
1817.89
1691.98
1638.07
1731.27
1736.18
1759.5
1799.72
1791.33
1803.03
1829.31
1826.19
1841.7
1873.24
1881.81
1874.74
1865.59
1888.81
1884.9
1835.87
1847.36
1813.52
1848.02
1870.02
1871.68
1838.61
1902.65
1908.97
1919.26
1945.28
1946.48
1962.67
2014.09
2003.6
1996.03
2012.82
2014.13
2041.12
2058.85
2026.44
2035.39
2005.76
1983.94
2005.09
1970.1
1903.81
1947.98
1933.36
1976.75
2028.06
2062.92
2052.37
2064.85
2063.14
2019.34
2015.76
2054.24
2043.19
1979.56
1990.47
1923.42
1932.89
1972.58
1947.74
1926.2
1893.47
1872.24
1806.99
1799.02
1772.88
1855.33
1859.79
1834.69
1877.56
1906
1902.43
1917.83
1938.2
1953.17
1934.32
1906.42
1925.07
1927.45
1915.9
1895.05
1839.82
1861.47
1844.37
1878.32
1919.47
1906.72
1908.62
1897.13
1853.45
1852.73
1863.9
1831.14
1826.23
1844.47
1824.78

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.1.08942e+7FISHER 4th Cent. Mom.7.18706e+9
FISHER beta 10.570698FISHER beta 22.047518
FISHER gamma 10.755446FISHER gamma 2-0.952482
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 16.896243FISHER Test 2-4.347466
FISHER Test 1 Probability0.000000FISHER Test 2 Probability0.000000
Pearson 21.393971
Yule using Quartile definition:Weighted Average at Xnp0.679440
Yule using Quartile definition:Weighted Average at X(n+1)p0.684215
Yule using Quartile definition:Empirical Distribution Function0.679440
Yule using Quartile definition:Empirical Distribution Function - Averaging0.683453
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.682684
Yule using Quartile definition:Closest Observation0.679440
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.682684
Yule using Quartile definition:MS Excel (old versions)0.684970
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.757721Kurtosis (small sample)-0.949979
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)6.937704TEST 1 (small sample)-4.357581
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.000000
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.1.08942e+7 & FISHER 4th Cent. Mom.7.18706e+9 \tabularnewline FISHER beta 10.570698 & FISHER beta 22.047518 \tabularnewline FISHER gamma 10.755446 & FISHER gamma 2-0.952482 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 16.896243 & FISHER Test 2-4.347466 \tabularnewline FISHER Test 1 Probability0.000000 & FISHER Test 2 Probability0.000000 \tabularnewline Pearson 21.393971 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.679440 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.684215 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.679440 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.683453 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.682684 & & \tabularnewline Yule using Quartile definition:Closest Observation0.679440 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.682684 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.684970 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.757721 & Kurtosis (small sample)-0.949979 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)6.937704 & TEST 1 (small sample)-4.357581 \tabularnewline TEST 1 Prob. (small sample)0.000000 & TEST 1 Prob. (small sample)0.000000 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103043&T=0

[TABLE]

[ROW][C]Skewness and Kurtosis - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure[/C]
Value[/C]Kurtosis Measure[/C]Value[/C][/ROW] [ROW][C]FISHER 3rd Cent. Mom.[/C]1.08942e+7[/C][C]FISHER 4th Cent. Mom.[/C]7.18706e+9[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.570698[/C][C]FISHER beta 2[/C]2.047518[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.755446[/C][C]FISHER gamma 2[/C]-0.952482[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.109545[/C][C]FISHER gamma 2 (S.E.)[/C]0.219089[/C][/ROW] [ROW][C]FISHER Test 1[/C]6.896243[/C][C]FISHER Test 2[/C]-4.347466[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.000000[/C][C]FISHER Test 2 Probability[/C]0.000000[/C][/ROW] [ROW][C]Pearson 2[/C]1.393971[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.679440[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.684215[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.679440[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.683453[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.682684[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.679440[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.682684[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.684970[/C][C][/C][C][/C][/ROW] [ROW][C]Skewness Measure (small sample)[/C]Value[/C]Kurtosis Measure (small sample)[/C]Value[/C][/ROW] [ROW][C]Skewness (small sample)[/C]0.757721[/C][C]Kurtosis (small sample)[/C]-0.949979[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.109218[/C][C]Kurtosis S.E. (small sample)[/C]0.218006[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]6.937704[/C][C]TEST 1 (small sample)[/C]-4.357581[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.000000[/C][C]TEST 1 Prob. (small sample)[/C]0.000000[/C][/ROW] [ROW][C]Observations[/C]500[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103043&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103043&T=0

As an alternative you can also use a QR Code:  
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The GUIDs for individual cells are displayed in the table below:

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.1.08942e+7FISHER 4th Cent. Mom.7.18706e+9
FISHER beta 10.570698FISHER beta 22.047518
FISHER gamma 10.755446FISHER gamma 2-0.952482
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 16.896243FISHER Test 2-4.347466
FISHER Test 1 Probability0.000000FISHER Test 2 Probability0.000000
Pearson 21.393971
Yule using Quartile definition:Weighted Average at Xnp0.679440
Yule using Quartile definition:Weighted Average at X(n+1)p0.684215
Yule using Quartile definition:Empirical Distribution Function0.679440
Yule using Quartile definition:Empirical Distribution Function - Averaging0.683453
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.682684
Yule using Quartile definition:Closest Observation0.679440
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.682684
Yule using Quartile definition:MS Excel (old versions)0.684970
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.757721Kurtosis (small sample)-0.949979
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)6.937704TEST 1 (small sample)-4.357581
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.000000
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.7577000.000000Trim. Kurtosis (0/500)-0.9500000.000000
Trim. Skewness (1/500)0.7606000.000000Trim. Kurtosis (1/500)-0.9511000.000000
Trim. Skewness (2/500)0.7628000.000000Trim. Kurtosis (2/500)-0.9522000.000000
Trim. Skewness (3/500)0.7648000.000000Trim. Kurtosis (3/500)-0.9537000.000000
Trim. Skewness (4/500)0.7670000.000000Trim. Kurtosis (4/500)-0.9551000.000000
Trim. Skewness (5/500)0.7692000.000000Trim. Kurtosis (5/500)-0.9561000.000000
Trim. Skewness (6/500)0.7714000.000000Trim. Kurtosis (6/500)-0.9574000.000000
Trim. Skewness (7/500)0.7740000.000000Trim. Kurtosis (7/500)-0.9574000.000000
Trim. Skewness (8/500)0.7764000.000000Trim. Kurtosis (8/500)-0.9575000.000000
Trim. Skewness (9/500)0.7791000.000000Trim. Kurtosis (9/500)-0.9571000.000000
Trim. Skewness (10/500)0.7820000.000000Trim. Kurtosis (10/500)-0.9559000.000000
Trim. Skewness (11/500)0.7849000.000000Trim. Kurtosis (11/500)-0.9547000.000000
Trim. Skewness (12/500)0.7881000.000000Trim. Kurtosis (12/500)-0.9527000.000000
Trim. Skewness (13/500)0.7914000.000000Trim. Kurtosis (13/500)-0.9505000.000000
Trim. Skewness (14/500)0.7948000.000000Trim. Kurtosis (14/500)-0.9484000.000000
Trim. Skewness (15/500)0.7978000.000000Trim. Kurtosis (15/500)-0.9465000.000000
Trim. Skewness (16/500)0.8006000.000000Trim. Kurtosis (16/500)-0.9447000.000000
Trim. Skewness (17/500)0.8036000.000000Trim. Kurtosis (17/500)-0.9421000.000000
Trim. Skewness (18/500)0.8064000.000000Trim. Kurtosis (18/500)-0.9397000.000000
Trim. Skewness (19/500)0.8091000.000000Trim. Kurtosis (19/500)-0.9374000.000000
Trim. Skewness (20/500)0.8118000.000000Trim. Kurtosis (20/500)-0.9354000.000000
Trim. Skewness (21/500)0.8149000.000000Trim. Kurtosis (21/500)-0.9324000.000000
Trim. Skewness (22/500)0.8179000.000000Trim. Kurtosis (22/500)-0.9293000.000000
Trim. Skewness (23/500)0.8208000.000000Trim. Kurtosis (23/500)-0.9263000.000000
Trim. Skewness (24/500)0.8236000.000000Trim. Kurtosis (24/500)-0.9233000.000000
Trim. Skewness (25/500)0.8267000.000000Trim. Kurtosis (25/500)-0.9195000.000000
Trim. Skewness (26/500)0.8296000.000000Trim. Kurtosis (26/500)-0.9159000.000000
Trim. Skewness (27/500)0.8327000.000000Trim. Kurtosis (27/500)-0.9119000.000000
Trim. Skewness (28/500)0.8358000.000000Trim. Kurtosis (28/500)-0.9077000.000000
Trim. Skewness (29/500)0.8390000.000000Trim. Kurtosis (29/500)-0.9031000.000000
Trim. Skewness (30/500)0.8422000.000000Trim. Kurtosis (30/500)-0.8983000.000200
Trim. Skewness (31/500)0.8456000.000000Trim. Kurtosis (31/500)-0.8927000.000200
Trim. Skewness (32/500)0.8490000.000000Trim. Kurtosis (32/500)-0.8871000.000200
Trim. Skewness (33/500)0.8523000.000000Trim. Kurtosis (33/500)-0.8818000.000200
Trim. Skewness (34/500)0.8560000.000000Trim. Kurtosis (34/500)-0.8751000.000200
Trim. Skewness (35/500)0.8598000.000000Trim. Kurtosis (35/500)-0.8679000.000200
Trim. Skewness (36/500)0.8637000.000000Trim. Kurtosis (36/500)-0.8607000.000200
Trim. Skewness (37/500)0.8676000.000000Trim. Kurtosis (37/500)-0.8535000.000200
Trim. Skewness (38/500)0.8715000.000000Trim. Kurtosis (38/500)-0.8462000.000400
Trim. Skewness (39/500)0.8754000.000000Trim. Kurtosis (39/500)-0.8389000.000400
Trim. Skewness (40/500)0.8797000.000000Trim. Kurtosis (40/500)-0.8306000.000400

\begin{tabular}{lllllllll}
\hline

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data \tabularnewline

Skewness Measure (small sample)
ValueProbabilityKurtosis Measure (small sample)ValueProbability \tabularnewline Trim. Skewness (0/500)0.7577000.000000 & Trim. Kurtosis (0/500)-0.9500000.000000 \tabularnewline Trim. Skewness (1/500)0.7606000.000000 & Trim. Kurtosis (1/500)-0.9511000.000000 \tabularnewline Trim. Skewness (2/500)0.7628000.000000 & Trim. Kurtosis (2/500)-0.9522000.000000 \tabularnewline Trim. Skewness (3/500)0.7648000.000000 & Trim. Kurtosis (3/500)-0.9537000.000000 \tabularnewline Trim. Skewness (4/500)0.7670000.000000 & Trim. Kurtosis (4/500)-0.9551000.000000 \tabularnewline Trim. Skewness (5/500)0.7692000.000000 & Trim. Kurtosis (5/500)-0.9561000.000000 \tabularnewline Trim. Skewness (6/500)0.7714000.000000 & Trim. Kurtosis (6/500)-0.9574000.000000 \tabularnewline Trim. Skewness (7/500)0.7740000.000000 & Trim. Kurtosis (7/500)-0.9574000.000000 \tabularnewline Trim. Skewness (8/500)0.7764000.000000 & Trim. Kurtosis (8/500)-0.9575000.000000 \tabularnewline Trim. Skewness (9/500)0.7791000.000000 & Trim. Kurtosis (9/500)-0.9571000.000000 \tabularnewline Trim. Skewness (10/500)0.7820000.000000 & Trim. Kurtosis (10/500)-0.9559000.000000 \tabularnewline Trim. Skewness (11/500)0.7849000.000000 & Trim. Kurtosis (11/500)-0.9547000.000000 \tabularnewline Trim. Skewness (12/500)0.7881000.000000 & Trim. Kurtosis (12/500)-0.9527000.000000 \tabularnewline Trim. Skewness (13/500)0.7914000.000000 & Trim. Kurtosis (13/500)-0.9505000.000000 \tabularnewline Trim. Skewness (14/500)0.7948000.000000 & Trim. Kurtosis (14/500)-0.9484000.000000 \tabularnewline Trim. Skewness (15/500)0.7978000.000000 & Trim. Kurtosis (15/500)-0.9465000.000000 \tabularnewline Trim. Skewness (16/500)0.8006000.000000 & Trim. Kurtosis (16/500)-0.9447000.000000 \tabularnewline Trim. Skewness (17/500)0.8036000.000000 & Trim. Kurtosis (17/500)-0.9421000.000000 \tabularnewline Trim. Skewness (18/500)0.8064000.000000 & Trim. Kurtosis (18/500)-0.9397000.000000 \tabularnewline Trim. Skewness (19/500)0.8091000.000000 & Trim. Kurtosis (19/500)-0.9374000.000000 \tabularnewline Trim. Skewness (20/500)0.8118000.000000 & Trim. Kurtosis (20/500)-0.9354000.000000 \tabularnewline Trim. Skewness (21/500)0.8149000.000000 & Trim. Kurtosis (21/500)-0.9324000.000000 \tabularnewline Trim. Skewness (22/500)0.8179000.000000 & Trim. Kurtosis (22/500)-0.9293000.000000 \tabularnewline Trim. Skewness (23/500)0.8208000.000000 & Trim. Kurtosis (23/500)-0.9263000.000000 \tabularnewline Trim. Skewness (24/500)0.8236000.000000 & Trim. Kurtosis (24/500)-0.9233000.000000 \tabularnewline Trim. Skewness (25/500)0.8267000.000000 & Trim. Kurtosis (25/500)-0.9195000.000000 \tabularnewline Trim. Skewness (26/500)0.8296000.000000 & Trim. Kurtosis (26/500)-0.9159000.000000 \tabularnewline Trim. Skewness (27/500)0.8327000.000000 & Trim. Kurtosis (27/500)-0.9119000.000000 \tabularnewline Trim. Skewness (28/500)0.8358000.000000 & Trim. Kurtosis (28/500)-0.9077000.000000 \tabularnewline Trim. Skewness (29/500)0.8390000.000000 & Trim. Kurtosis (29/500)-0.9031000.000000 \tabularnewline Trim. Skewness (30/500)0.8422000.000000 & Trim. Kurtosis (30/500)-0.8983000.000200 \tabularnewline Trim. Skewness (31/500)0.8456000.000000 & Trim. Kurtosis (31/500)-0.8927000.000200 \tabularnewline Trim. Skewness (32/500)0.8490000.000000 & Trim. Kurtosis (32/500)-0.8871000.000200 \tabularnewline Trim. Skewness (33/500)0.8523000.000000 & Trim. Kurtosis (33/500)-0.8818000.000200 \tabularnewline Trim. Skewness (34/500)0.8560000.000000 & Trim. Kurtosis (34/500)-0.8751000.000200 \tabularnewline Trim. Skewness (35/500)0.8598000.000000 & Trim. Kurtosis (35/500)-0.8679000.000200 \tabularnewline Trim. Skewness (36/500)0.8637000.000000 & Trim. Kurtosis (36/500)-0.8607000.000200 \tabularnewline Trim. Skewness (37/500)0.8676000.000000 & Trim. Kurtosis (37/500)-0.8535000.000200 \tabularnewline Trim. Skewness (38/500)0.8715000.000000 & Trim. Kurtosis (38/500)-0.8462000.000400 \tabularnewline Trim. Skewness (39/500)0.8754000.000000 & Trim. Kurtosis (39/500)-0.8389000.000400 \tabularnewline Trim. Skewness (40/500)0.8797000.000000 & Trim. Kurtosis (40/500)-0.8306000.000400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103043&T=1

[TABLE]

[ROW][C]Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure (small sample)[/C]
Value[/C]Probability[/C]Kurtosis Measure (small sample)[/C]Value[/C]Probability[/C][/ROW] [ROW][C]Trim. Skewness (0/500)[/C]0.757700[/C]0.000000[/C][C]Trim. Kurtosis (0/500)[/C]-0.950000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.760600[/C]0.000000[/C][C]Trim. Kurtosis (1/500)[/C]-0.951100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.762800[/C]0.000000[/C][C]Trim. Kurtosis (2/500)[/C]-0.952200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.764800[/C]0.000000[/C][C]Trim. Kurtosis (3/500)[/C]-0.953700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.767000[/C]0.000000[/C][C]Trim. Kurtosis (4/500)[/C]-0.955100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.769200[/C]0.000000[/C][C]Trim. Kurtosis (5/500)[/C]-0.956100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.771400[/C]0.000000[/C][C]Trim. Kurtosis (6/500)[/C]-0.957400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.774000[/C]0.000000[/C][C]Trim. Kurtosis (7/500)[/C]-0.957400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.776400[/C]0.000000[/C][C]Trim. Kurtosis (8/500)[/C]-0.957500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.779100[/C]0.000000[/C][C]Trim. Kurtosis (9/500)[/C]-0.957100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.782000[/C]0.000000[/C][C]Trim. Kurtosis (10/500)[/C]-0.955900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.784900[/C]0.000000[/C][C]Trim. Kurtosis (11/500)[/C]-0.954700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.788100[/C]0.000000[/C][C]Trim. Kurtosis (12/500)[/C]-0.952700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.791400[/C]0.000000[/C][C]Trim. Kurtosis (13/500)[/C]-0.950500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.794800[/C]0.000000[/C][C]Trim. Kurtosis (14/500)[/C]-0.948400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.797800[/C]0.000000[/C][C]Trim. Kurtosis (15/500)[/C]-0.946500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.800600[/C]0.000000[/C][C]Trim. Kurtosis (16/500)[/C]-0.944700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.803600[/C]0.000000[/C][C]Trim. Kurtosis (17/500)[/C]-0.942100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.806400[/C]0.000000[/C][C]Trim. Kurtosis (18/500)[/C]-0.939700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]0.809100[/C]0.000000[/C][C]Trim. Kurtosis (19/500)[/C]-0.937400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]0.811800[/C]0.000000[/C][C]Trim. Kurtosis (20/500)[/C]-0.935400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]0.814900[/C]0.000000[/C][C]Trim. Kurtosis (21/500)[/C]-0.932400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]0.817900[/C]0.000000[/C][C]Trim. Kurtosis (22/500)[/C]-0.929300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]0.820800[/C]0.000000[/C][C]Trim. Kurtosis (23/500)[/C]-0.926300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]0.823600[/C]0.000000[/C][C]Trim. Kurtosis (24/500)[/C]-0.923300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]0.826700[/C]0.000000[/C][C]Trim. Kurtosis (25/500)[/C]-0.919500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]0.829600[/C]0.000000[/C][C]Trim. Kurtosis (26/500)[/C]-0.915900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]0.832700[/C]0.000000[/C][C]Trim. Kurtosis (27/500)[/C]-0.911900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]0.835800[/C]0.000000[/C][C]Trim. Kurtosis (28/500)[/C]-0.907700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]0.839000[/C]0.000000[/C][C]Trim. Kurtosis (29/500)[/C]-0.903100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]0.842200[/C]0.000000[/C][C]Trim. Kurtosis (30/500)[/C]-0.898300[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.845600[/C]0.000000[/C][C]Trim. Kurtosis (31/500)[/C]-0.892700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.849000[/C]0.000000[/C][C]Trim. Kurtosis (32/500)[/C]-0.887100[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.852300[/C]0.000000[/C][C]Trim. Kurtosis (33/500)[/C]-0.881800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.856000[/C]0.000000[/C][C]Trim. Kurtosis (34/500)[/C]-0.875100[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.859800[/C]0.000000[/C][C]Trim. Kurtosis (35/500)[/C]-0.867900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.863700[/C]0.000000[/C][C]Trim. Kurtosis (36/500)[/C]-0.860700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.867600[/C]0.000000[/C][C]Trim. Kurtosis (37/500)[/C]-0.853500[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.871500[/C]0.000000[/C][C]Trim. Kurtosis (38/500)[/C]-0.846200[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.875400[/C]0.000000[/C][C]Trim. Kurtosis (39/500)[/C]-0.838900[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.879700[/C]0.000000[/C][C]Trim. Kurtosis (40/500)[/C]-0.830600[/C]0.000400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103043&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103043&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.7577000.000000Trim. Kurtosis (0/500)-0.9500000.000000
Trim. Skewness (1/500)0.7606000.000000Trim. Kurtosis (1/500)-0.9511000.000000
Trim. Skewness (2/500)0.7628000.000000Trim. Kurtosis (2/500)-0.9522000.000000
Trim. Skewness (3/500)0.7648000.000000Trim. Kurtosis (3/500)-0.9537000.000000
Trim. Skewness (4/500)0.7670000.000000Trim. Kurtosis (4/500)-0.9551000.000000
Trim. Skewness (5/500)0.7692000.000000Trim. Kurtosis (5/500)-0.9561000.000000
Trim. Skewness (6/500)0.7714000.000000Trim. Kurtosis (6/500)-0.9574000.000000
Trim. Skewness (7/500)0.7740000.000000Trim. Kurtosis (7/500)-0.9574000.000000
Trim. Skewness (8/500)0.7764000.000000Trim. Kurtosis (8/500)-0.9575000.000000
Trim. Skewness (9/500)0.7791000.000000Trim. Kurtosis (9/500)-0.9571000.000000
Trim. Skewness (10/500)0.7820000.000000Trim. Kurtosis (10/500)-0.9559000.000000
Trim. Skewness (11/500)0.7849000.000000Trim. Kurtosis (11/500)-0.9547000.000000
Trim. Skewness (12/500)0.7881000.000000Trim. Kurtosis (12/500)-0.9527000.000000
Trim. Skewness (13/500)0.7914000.000000Trim. Kurtosis (13/500)-0.9505000.000000
Trim. Skewness (14/500)0.7948000.000000Trim. Kurtosis (14/500)-0.9484000.000000
Trim. Skewness (15/500)0.7978000.000000Trim. Kurtosis (15/500)-0.9465000.000000
Trim. Skewness (16/500)0.8006000.000000Trim. Kurtosis (16/500)-0.9447000.000000
Trim. Skewness (17/500)0.8036000.000000Trim. Kurtosis (17/500)-0.9421000.000000
Trim. Skewness (18/500)0.8064000.000000Trim. Kurtosis (18/500)-0.9397000.000000
Trim. Skewness (19/500)0.8091000.000000Trim. Kurtosis (19/500)-0.9374000.000000
Trim. Skewness (20/500)0.8118000.000000Trim. Kurtosis (20/500)-0.9354000.000000
Trim. Skewness (21/500)0.8149000.000000Trim. Kurtosis (21/500)-0.9324000.000000
Trim. Skewness (22/500)0.8179000.000000Trim. Kurtosis (22/500)-0.9293000.000000
Trim. Skewness (23/500)0.8208000.000000Trim. Kurtosis (23/500)-0.9263000.000000
Trim. Skewness (24/500)0.8236000.000000Trim. Kurtosis (24/500)-0.9233000.000000
Trim. Skewness (25/500)0.8267000.000000Trim. Kurtosis (25/500)-0.9195000.000000
Trim. Skewness (26/500)0.8296000.000000Trim. Kurtosis (26/500)-0.9159000.000000
Trim. Skewness (27/500)0.8327000.000000Trim. Kurtosis (27/500)-0.9119000.000000
Trim. Skewness (28/500)0.8358000.000000Trim. Kurtosis (28/500)-0.9077000.000000
Trim. Skewness (29/500)0.8390000.000000Trim. Kurtosis (29/500)-0.9031000.000000
Trim. Skewness (30/500)0.8422000.000000Trim. Kurtosis (30/500)-0.8983000.000200
Trim. Skewness (31/500)0.8456000.000000Trim. Kurtosis (31/500)-0.8927000.000200
Trim. Skewness (32/500)0.8490000.000000Trim. Kurtosis (32/500)-0.8871000.000200
Trim. Skewness (33/500)0.8523000.000000Trim. Kurtosis (33/500)-0.8818000.000200
Trim. Skewness (34/500)0.8560000.000000Trim. Kurtosis (34/500)-0.8751000.000200
Trim. Skewness (35/500)0.8598000.000000Trim. Kurtosis (35/500)-0.8679000.000200
Trim. Skewness (36/500)0.8637000.000000Trim. Kurtosis (36/500)-0.8607000.000200
Trim. Skewness (37/500)0.8676000.000000Trim. Kurtosis (37/500)-0.8535000.000200
Trim. Skewness (38/500)0.8715000.000000Trim. Kurtosis (38/500)-0.8462000.000400
Trim. Skewness (39/500)0.8754000.000000Trim. Kurtosis (39/500)-0.8389000.000400
Trim. Skewness (40/500)0.8797000.000000Trim. Kurtosis (40/500)-0.8306000.000400


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):