FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 19:28:13 +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/t1291058793d5z0qrj56ceztog.htm/, Retrieved Mon, 29 Apr 2024 09:56:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103052, Retrieved Mon, 29 Apr 2024 09:56:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact113

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 19:23:46] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                            [Skewness and Kurtosis] [] [2010-11-29 19:25:18] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                              [Skewness and Kurtosis] [] [2010-11-29 19:26:45] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                  [Skewness and Kurtosis] [] [2010-11-29 19:28:13] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    D                                                    [Skewness and Kurtosis] [] [2010-11-29 19:30:05] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                      [Skewness and Kurtosis] [] [2010-11-29 19:31:18] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                        [Skewness and Kurtosis] [] [2010-11-29 19:32:50] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                          [Skewness and Kurtosis] [] [2010-11-29 19:33:58] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                            [Skewness and Kurtosis] [] [2010-11-29 19:35:47] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                              [Skewness and Kurtosis] [] [2010-11-29 19:37:35] [7d64bf19f34ddcdf2626356c9d5bd60d]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1710.010651
1854.16737
2074.249133
1968.113743
2317.150024
1925.61359
2222.590426
2058.179039
2159.871835
2101.113759
2243.769469
1767.418468
2496.295533
1824.466191
1669.281149
2031.168107
2172.445434
1997.182025
1669.80998
2023.427854
1740.799764
1846.729813
1891.190828
1979.386797
2061.035279
2031.174858
2315.045181
1945.084613
1827.760286
2188.149433
2255.02991
1967.974463
1838.749461
1694.942438
1926.721075
1919.455196
1797.88596
2020.318554
1730.983836
1840.725199
1906.729203
2073.549215
2046.10287
1687.912197
1768.084952
1999.961364
1911.475239
2005.556017
2358.486273
1813.088666
1892.563345
1572.967411
2157.363947
2161.486607
1839.37654
1899.641438
1978.531168
2198.442012
1836.193408
2195.752066
1948.812792
1582.539465
1758.732498
2155.777992
2157.95355
1956.034207
2007.81694
1719.072651
1524.867027
1944.813004
2093.37091
1963.513908
1814.535806
1882.329675
1825.612687
2323.665098
1450.401695
1781.274964
1934.842383
2052.46851
1917.629625
1812.962315
1967.827361
2330.041615
1856.571411
2068.378115
2320.555669
2000.891015
2258.046065
2037.856795
2139.095674
2053.670616
1678.415199
1928.774051
1751.716732
1863.761451
2021.860986
2066.199322
2030.700813
1819.984566
1996.779714
1860.64693
2131.074284
1756.41617
2148.249365
1670.915374
2349.169105
1907.514997
2550.609225
1932.655449
1614.705766
2040.617256
1941.953428
1480.941389
2111.988138
1555.43172
1650.360114
2160.403755
1960.678218
2257.910517
2101.876432
1702.907218
2149.706008
1689.339539
2049.537891
1570.531968
2139.74962
1653.142422
1907.348061
1850.91893
2040.03497
1823.81535
1857.983422
1789.731921
1518.098765
1793.069822
1708.096994
1991.529335
1975.048927
2065.037853
1865.728124
1515.362764
1917.385783
2255.457946
1965.195214
2024.880867
1975.872998
2284.409199
1815.547139
1954.606309
1601.224341
2239.557702
1490.082588
2263.700735
2120.38032
2165.113857
1817.382111
2502.874735
1956.607257
2188.909678
1689.464442
1997.986879
1824.214557
2320.722607
1878.896873
2208.393723
1908.299458
2091.939952
1965.352972
1839.349259
1782.460223
1986.335853
2167.492119
2234.894037
2203.151727
2214.435973
1835.946866
2079.415013
2554.916766
1834.922509
1971.043745
2219.372818
2098.960741
1994.486977
1551.10447
2415.368382
1799.255792
2329.361684
2434.525069
1588.990417
2377.914499
1664.112412
2181.547472
1551.495829
2036.939674
2022.169779
2017.187226
2387.868095
2098.431193
1669.147445
1645.877677
1737.526749
2488.691948
1792.842141
1865.224795
2444.530495
2485.794575
2099.796383
1561.527009
1758.799543
2045.087332
1464.114628
2165.243237
1858.069582
1702.546085
2268.94217
1995.0013
2467.493958
2226.873609
1414.8345
1880.701164
2449.085218
1985.000849
1985.969595
2051.47277
1969.241741
2016.878948
2020.684209
2151.9595
2166.670944
1512.880228
1781.559023
2116.441946
2073.753662
1783.214556
1766.900474
2049.581998
2066.980168
1693.686097
1706.200717
2076.974597
2335.737477
2039.083199
2187.107811
1917.118645
1712.81158
1975.67373
2894.514054
2032.425794
2184.408035
2085.16045
1827.482067
1738.724743
2252.307146
1978.656064
2310.225207
1837.430184
1446.751723
1904.794593
2094.279214
1961.743583
2453.768702
2200.07945
1665.457835
2025.421717
2221.943888
1841.974049
2283.775539
2019.503388
1650.056955
2479.973496
2166.240495
1781.447787
1684.729206
1882.906358
1314.317817
1685.498948
1872.980333
2309.93873
1954.24205
1835.271314
2199.957944
2201.429028
1939.425969
1752.4824
2189.963244
1987.701558
2173.944211
2297.099268
2148.918125
2026.566228
1907.922395
2153.854158
1851.727503
1939.340193
1999.549434
1899.333642
1981.542473
2018.204852
2102.826965
2253.997178
1780.022288
2084.344318
1921.469063
1660.47862
1681.006596
1738.336109
2071.909612
2137.439155
1650.129413
1944.502341
2216.089796
1801.087725
1852.212697
1765.156208
2368.533727
1923.145468
1909.208929
1603.693157
2147.284941
1973.574465
2032.590806
2422.511452
1863.551875
2001.786507
2010.793121
2075.194856
1667.087884
1824.353332
2216.848697
1758.720241
2241.571489
1944.352995
1810.068613
1993.815593
1609.934219
1738.599127
1595.654514
2067.978277
1951.309199
2396.035389
1813.511854
2184.03106
2017.491246
2046.735653
1748.850662
1661.274871
2167.72514
1890.27325
1917.501644
2139.351843
1667.26002
2070.198411
2017.168986
2117.25592
2020.137839
1671.052346
2049.357036
1797.326641
1752.270838
1878.080623
1871.626518
2422.14583
1997.694473
1935.217597
1952.601206
1451.338854
2098.972912
2080.973186
2016.313227
2291.464755
1938.3129
1601.607151
1772.049667
2273.426464
2162.158874
2064.742543
2190.113191
2223.814948
1950.601505
1849.902341
1775.333012
2216.04309
1857.742457
2015.956549
2046.236879
1745.850061
2123.936676
2086.031086
1915.781306
1927.626196
1910.586051
1998.170168
2010.758553
2192.413559
2053.43782
2097.461051
2037.760317
2153.101331
2144.358861
1876.960665
1926.42179
1920.054789
1906.191995
1924.274226
2211.871375
1960.079362
1758.963956
1687.111586
2047.242462
2114.073221
2006.246003
1972.047493
1610.312228
2140.010657
1880.887892
1760.878645
2025.833
2180.743041
1855.384982
1999.685868
2036.44321
1777.174851
1638.489389
1888.393521
1895.980833
2161.605145
2407.860418
2053.873838
2023.977744
2176.59112
2046.222524
2052.87066
2300.325933
2089.524659
1854.928783
2001.050918
2206.071133
1722.599695
2005.750638
2122.466628
1820.780078
2166.388241
1551.673537
2256.510021
1957.136875
1437.353267
1891.321362
2087.153208
1986.749571
2061.485009
1667.482142
2162.441549
1858.330958
2053.528115
1916.294455
1800.913917
2003.148338
2084.747923
1651.522475
1731.913395
1975.96446
1564.845915
2296.611806
1940.248419
2187.978085
2051.798259
1426.001196
2105.332137
1623.196922
1953.866002
2097.014957
2094.820801
2437.94188
2385.086809
2139.679148
2108.223949
2080.037875
1894.353207
1570.677539
2141.700014
1909.83385
2045.204365
2482.821235
2257.696826
1965.121946
1981.036791
1809.308982
1935.503046
2106.951234
1844.659013
2101.435364
2388.990879
1581.546685
2065.575707
2135.673335
2258.848992
1533.604883
1844.113839
2310.21236

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.564600.341739FISHER 4th Cent. Mom.8.85211e+9
FISHER beta 10.002175FISHER beta 23.184311
FISHER gamma 10.046636FISHER gamma 20.184311
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.425723FISHER Test 20.841260
FISHER Test 1 Probability0.667200FISHER Test 2 Probability0.395400
Pearson 2-0.123176
Yule using Quartile definition:Weighted Average at Xnp-0.075358
Yule using Quartile definition:Weighted Average at X(n+1)p-0.055585
Yule using Quartile definition:Empirical Distribution Function-0.075358
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.060918
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.066324
Yule using Quartile definition:Closest Observation-0.075358
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.066324
Yule using Quartile definition:MS Excel (old versions)-0.050325
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.046776Kurtosis (small sample)0.198264
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.428282TEST 1 (small sample)0.909442
TEST 1 Prob. (small sample)0.667200TEST 1 Prob. (small sample)0.362800
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.564600.341739 & FISHER 4th Cent. Mom.8.85211e+9 \tabularnewline FISHER beta 10.002175 & FISHER beta 23.184311 \tabularnewline FISHER gamma 10.046636 & FISHER gamma 20.184311 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 10.425723 & FISHER Test 20.841260 \tabularnewline FISHER Test 1 Probability0.667200 & FISHER Test 2 Probability0.395400 \tabularnewline Pearson 2-0.123176 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.075358 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.055585 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.075358 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.060918 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.066324 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.075358 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.066324 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.050325 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.046776 & Kurtosis (small sample)0.198264 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)0.428282 & TEST 1 (small sample)0.909442 \tabularnewline TEST 1 Prob. (small sample)0.667200 & TEST 1 Prob. (small sample)0.362800 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103052&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]564600.341739[/C][C]FISHER 4th Cent. Mom.[/C]8.85211e+9[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.002175[/C][C]FISHER beta 2[/C]3.184311[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.046636[/C][C]FISHER gamma 2[/C]0.184311[/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]0.425723[/C][C]FISHER Test 2[/C]0.841260[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.667200[/C][C]FISHER Test 2 Probability[/C]0.395400[/C][/ROW] [ROW][C]Pearson 2[/C]-0.123176[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.075358[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.055585[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.075358[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.060918[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.066324[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.075358[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.066324[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.050325[/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]0.046776[/C][C]Kurtosis (small sample)[/C]0.198264[/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]0.428282[/C][C]TEST 1 (small sample)[/C]0.909442[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.667200[/C][C]TEST 1 Prob. (small sample)[/C]0.362800[/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=103052&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103052&T=0

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


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

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.564600.341739FISHER 4th Cent. Mom.8.85211e+9
FISHER beta 10.002175FISHER beta 23.184311
FISHER gamma 10.046636FISHER gamma 20.184311
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.425723FISHER Test 20.841260
FISHER Test 1 Probability0.667200FISHER Test 2 Probability0.395400
Pearson 2-0.123176
Yule using Quartile definition:Weighted Average at Xnp-0.075358
Yule using Quartile definition:Weighted Average at X(n+1)p-0.055585
Yule using Quartile definition:Empirical Distribution Function-0.075358
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.060918
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.066324
Yule using Quartile definition:Closest Observation-0.075358
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.066324
Yule using Quartile definition:MS Excel (old versions)-0.050325
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.046776Kurtosis (small sample)0.198264
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.428282TEST 1 (small sample)0.909442
TEST 1 Prob. (small sample)0.667200TEST 1 Prob. (small sample)0.362800
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.0468000.667200Trim. Kurtosis (0/500)0.1983000.362800
Trim. Skewness (1/500)-0.0292000.787200Trim. Kurtosis (1/500)-0.2015000.352400
Trim. Skewness (2/500)-0.0332000.756600Trim. Kurtosis (2/500)-0.2391000.271400
Trim. Skewness (3/500)-0.0384000.726400Trim. Kurtosis (3/500)-0.2778000.204000
Trim. Skewness (4/500)-0.0382000.726400Trim. Kurtosis (4/500)-0.3023000.167600
Trim. Skewness (5/500)-0.0384000.726400Trim. Kurtosis (5/500)-0.3264000.136200
Trim. Skewness (6/500)-0.0381000.726400Trim. Kurtosis (6/500)-0.3514000.109600
Trim. Skewness (7/500)-0.0374000.733800Trim. Kurtosis (7/500)-0.3798000.085400
Trim. Skewness (8/500)-0.0381000.726400Trim. Kurtosis (8/500)-0.4077000.064400
Trim. Skewness (9/500)-0.0408000.711400Trim. Kurtosis (9/500)-0.4340000.050000
Trim. Skewness (10/500)-0.0431000.696600Trim. Kurtosis (10/500)-0.4579000.039400
Trim. Skewness (11/500)-0.0466000.674400Trim. Kurtosis (11/500)-0.4750000.032400
Trim. Skewness (12/500)-0.0500000.652800Trim. Kurtosis (12/500)-0.4932000.027200
Trim. Skewness (13/500)-0.0533000.631200Trim. Kurtosis (13/500)-0.5125000.022000
Trim. Skewness (14/500)-0.0567000.610000Trim. Kurtosis (14/500)-0.5313000.017800
Trim. Skewness (15/500)-0.0609000.582400Trim. Kurtosis (15/500)-0.5500000.014200
Trim. Skewness (16/500)-0.0658000.555200Trim. Kurtosis (16/500)-0.5638000.012000
Trim. Skewness (17/500)-0.0711000.528600Trim. Kurtosis (17/500)-0.5800000.010200
Trim. Skewness (18/500)-0.0756000.502800Trim. Kurtosis (18/500)-0.5969000.008200
Trim. Skewness (19/500)-0.0798000.477600Trim. Kurtosis (19/500)-0.6135000.006800
Trim. Skewness (20/500)-0.0832000.459200Trim. Kurtosis (20/500)-0.6277000.005600
Trim. Skewness (21/500)-0.0862000.447200Trim. Kurtosis (21/500)-0.6416000.004800
Trim. Skewness (22/500)-0.0899000.429600Trim. Kurtosis (22/500)-0.6562000.004000
Trim. Skewness (23/500)-0.0935000.412200Trim. Kurtosis (23/500)-0.6726000.003200
Trim. Skewness (24/500)-0.0964000.400800Trim. Kurtosis (24/500)-0.6889000.002600
Trim. Skewness (25/500)-0.0993000.384400Trim. Kurtosis (25/500)-0.7028000.002200
Trim. Skewness (26/500)-0.1009000.378800Trim. Kurtosis (26/500)-0.7161000.001800
Trim. Skewness (27/500)-0.1022000.373400Trim. Kurtosis (27/500)-0.7275000.001600
Trim. Skewness (28/500)-0.1025000.373400Trim. Kurtosis (28/500)-0.7359000.001400
Trim. Skewness (29/500)-0.1028000.373400Trim. Kurtosis (29/500)-0.7434000.001400
Trim. Skewness (30/500)-0.1030000.373400Trim. Kurtosis (30/500)-0.7522000.001200
Trim. Skewness (31/500)-0.1027000.373400Trim. Kurtosis (31/500)-0.7610000.001000
Trim. Skewness (32/500)-0.1028000.378800Trim. Kurtosis (32/500)-0.7691000.001000
Trim. Skewness (33/500)-0.1029000.378800Trim. Kurtosis (33/500)-0.7789000.000800
Trim. Skewness (34/500)-0.1031000.378800Trim. Kurtosis (34/500)-0.7884000.000800
Trim. Skewness (35/500)-0.1042000.373400Trim. Kurtosis (35/500)-0.7968000.000600
Trim. Skewness (36/500)-0.1067000.362800Trim. Kurtosis (36/500)-0.8019000.000600
Trim. Skewness (37/500)-0.1102000.347200Trim. Kurtosis (37/500)-0.8067000.000600
Trim. Skewness (38/500)-0.1144000.332000Trim. Kurtosis (38/500)-0.8118000.000600
Trim. Skewness (39/500)-0.1174000.322200Trim. Kurtosis (39/500)-0.8159000.000600
Trim. Skewness (40/500)-0.1201000.312400Trim. Kurtosis (40/500)-0.8204000.000600

\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)0.0468000.667200 & Trim. Kurtosis (0/500)0.1983000.362800 \tabularnewline Trim. Skewness (1/500)-0.0292000.787200 & Trim. Kurtosis (1/500)-0.2015000.352400 \tabularnewline Trim. Skewness (2/500)-0.0332000.756600 & Trim. Kurtosis (2/500)-0.2391000.271400 \tabularnewline Trim. Skewness (3/500)-0.0384000.726400 & Trim. Kurtosis (3/500)-0.2778000.204000 \tabularnewline Trim. Skewness (4/500)-0.0382000.726400 & Trim. Kurtosis (4/500)-0.3023000.167600 \tabularnewline Trim. Skewness (5/500)-0.0384000.726400 & Trim. Kurtosis (5/500)-0.3264000.136200 \tabularnewline Trim. Skewness (6/500)-0.0381000.726400 & Trim. Kurtosis (6/500)-0.3514000.109600 \tabularnewline Trim. Skewness (7/500)-0.0374000.733800 & Trim. Kurtosis (7/500)-0.3798000.085400 \tabularnewline Trim. Skewness (8/500)-0.0381000.726400 & Trim. Kurtosis (8/500)-0.4077000.064400 \tabularnewline Trim. Skewness (9/500)-0.0408000.711400 & Trim. Kurtosis (9/500)-0.4340000.050000 \tabularnewline Trim. Skewness (10/500)-0.0431000.696600 & Trim. Kurtosis (10/500)-0.4579000.039400 \tabularnewline Trim. Skewness (11/500)-0.0466000.674400 & Trim. Kurtosis (11/500)-0.4750000.032400 \tabularnewline Trim. Skewness (12/500)-0.0500000.652800 & Trim. Kurtosis (12/500)-0.4932000.027200 \tabularnewline Trim. Skewness (13/500)-0.0533000.631200 & Trim. Kurtosis (13/500)-0.5125000.022000 \tabularnewline Trim. Skewness (14/500)-0.0567000.610000 & Trim. Kurtosis (14/500)-0.5313000.017800 \tabularnewline Trim. Skewness (15/500)-0.0609000.582400 & Trim. Kurtosis (15/500)-0.5500000.014200 \tabularnewline Trim. Skewness (16/500)-0.0658000.555200 & Trim. Kurtosis (16/500)-0.5638000.012000 \tabularnewline Trim. Skewness (17/500)-0.0711000.528600 & Trim. Kurtosis (17/500)-0.5800000.010200 \tabularnewline Trim. Skewness (18/500)-0.0756000.502800 & Trim. Kurtosis (18/500)-0.5969000.008200 \tabularnewline Trim. Skewness (19/500)-0.0798000.477600 & Trim. Kurtosis (19/500)-0.6135000.006800 \tabularnewline Trim. Skewness (20/500)-0.0832000.459200 & Trim. Kurtosis (20/500)-0.6277000.005600 \tabularnewline Trim. Skewness (21/500)-0.0862000.447200 & Trim. Kurtosis (21/500)-0.6416000.004800 \tabularnewline Trim. Skewness (22/500)-0.0899000.429600 & Trim. Kurtosis (22/500)-0.6562000.004000 \tabularnewline Trim. Skewness (23/500)-0.0935000.412200 & Trim. Kurtosis (23/500)-0.6726000.003200 \tabularnewline Trim. Skewness (24/500)-0.0964000.400800 & Trim. Kurtosis (24/500)-0.6889000.002600 \tabularnewline Trim. Skewness (25/500)-0.0993000.384400 & Trim. Kurtosis (25/500)-0.7028000.002200 \tabularnewline Trim. Skewness (26/500)-0.1009000.378800 & Trim. Kurtosis (26/500)-0.7161000.001800 \tabularnewline Trim. Skewness (27/500)-0.1022000.373400 & Trim. Kurtosis (27/500)-0.7275000.001600 \tabularnewline Trim. Skewness (28/500)-0.1025000.373400 & Trim. Kurtosis (28/500)-0.7359000.001400 \tabularnewline Trim. Skewness (29/500)-0.1028000.373400 & Trim. Kurtosis (29/500)-0.7434000.001400 \tabularnewline Trim. Skewness (30/500)-0.1030000.373400 & Trim. Kurtosis (30/500)-0.7522000.001200 \tabularnewline Trim. Skewness (31/500)-0.1027000.373400 & Trim. Kurtosis (31/500)-0.7610000.001000 \tabularnewline Trim. Skewness (32/500)-0.1028000.378800 & Trim. Kurtosis (32/500)-0.7691000.001000 \tabularnewline Trim. Skewness (33/500)-0.1029000.378800 & Trim. Kurtosis (33/500)-0.7789000.000800 \tabularnewline Trim. Skewness (34/500)-0.1031000.378800 & Trim. Kurtosis (34/500)-0.7884000.000800 \tabularnewline Trim. Skewness (35/500)-0.1042000.373400 & Trim. Kurtosis (35/500)-0.7968000.000600 \tabularnewline Trim. Skewness (36/500)-0.1067000.362800 & Trim. Kurtosis (36/500)-0.8019000.000600 \tabularnewline Trim. Skewness (37/500)-0.1102000.347200 & Trim. Kurtosis (37/500)-0.8067000.000600 \tabularnewline Trim. Skewness (38/500)-0.1144000.332000 & Trim. Kurtosis (38/500)-0.8118000.000600 \tabularnewline Trim. Skewness (39/500)-0.1174000.322200 & Trim. Kurtosis (39/500)-0.8159000.000600 \tabularnewline Trim. Skewness (40/500)-0.1201000.312400 & Trim. Kurtosis (40/500)-0.8204000.000600 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103052&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]0.046800[/C]0.667200[/C][C]Trim. Kurtosis (0/500)[/C]0.198300[/C]0.362800[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.029200[/C]0.787200[/C][C]Trim. Kurtosis (1/500)[/C]-0.201500[/C]0.352400[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.033200[/C]0.756600[/C][C]Trim. Kurtosis (2/500)[/C]-0.239100[/C]0.271400[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.038400[/C]0.726400[/C][C]Trim. Kurtosis (3/500)[/C]-0.277800[/C]0.204000[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.038200[/C]0.726400[/C][C]Trim. Kurtosis (4/500)[/C]-0.302300[/C]0.167600[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.038400[/C]0.726400[/C][C]Trim. Kurtosis (5/500)[/C]-0.326400[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.038100[/C]0.726400[/C][C]Trim. Kurtosis (6/500)[/C]-0.351400[/C]0.109600[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.037400[/C]0.733800[/C][C]Trim. Kurtosis (7/500)[/C]-0.379800[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.038100[/C]0.726400[/C][C]Trim. Kurtosis (8/500)[/C]-0.407700[/C]0.064400[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.040800[/C]0.711400[/C][C]Trim. Kurtosis (9/500)[/C]-0.434000[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.043100[/C]0.696600[/C][C]Trim. Kurtosis (10/500)[/C]-0.457900[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.046600[/C]0.674400[/C][C]Trim. Kurtosis (11/500)[/C]-0.475000[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.050000[/C]0.652800[/C][C]Trim. Kurtosis (12/500)[/C]-0.493200[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.053300[/C]0.631200[/C][C]Trim. Kurtosis (13/500)[/C]-0.512500[/C]0.022000[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.056700[/C]0.610000[/C][C]Trim. Kurtosis (14/500)[/C]-0.531300[/C]0.017800[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.060900[/C]0.582400[/C][C]Trim. Kurtosis (15/500)[/C]-0.550000[/C]0.014200[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.065800[/C]0.555200[/C][C]Trim. Kurtosis (16/500)[/C]-0.563800[/C]0.012000[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.071100[/C]0.528600[/C][C]Trim. Kurtosis (17/500)[/C]-0.580000[/C]0.010200[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.075600[/C]0.502800[/C][C]Trim. Kurtosis (18/500)[/C]-0.596900[/C]0.008200[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.079800[/C]0.477600[/C][C]Trim. Kurtosis (19/500)[/C]-0.613500[/C]0.006800[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.083200[/C]0.459200[/C][C]Trim. Kurtosis (20/500)[/C]-0.627700[/C]0.005600[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.086200[/C]0.447200[/C][C]Trim. Kurtosis (21/500)[/C]-0.641600[/C]0.004800[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.089900[/C]0.429600[/C][C]Trim. Kurtosis (22/500)[/C]-0.656200[/C]0.004000[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.093500[/C]0.412200[/C][C]Trim. Kurtosis (23/500)[/C]-0.672600[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.096400[/C]0.400800[/C][C]Trim. Kurtosis (24/500)[/C]-0.688900[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.099300[/C]0.384400[/C][C]Trim. Kurtosis (25/500)[/C]-0.702800[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.100900[/C]0.378800[/C][C]Trim. Kurtosis (26/500)[/C]-0.716100[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.102200[/C]0.373400[/C][C]Trim. Kurtosis (27/500)[/C]-0.727500[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.102500[/C]0.373400[/C][C]Trim. Kurtosis (28/500)[/C]-0.735900[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.102800[/C]0.373400[/C][C]Trim. Kurtosis (29/500)[/C]-0.743400[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.103000[/C]0.373400[/C][C]Trim. Kurtosis (30/500)[/C]-0.752200[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.102700[/C]0.373400[/C][C]Trim. Kurtosis (31/500)[/C]-0.761000[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.102800[/C]0.378800[/C][C]Trim. Kurtosis (32/500)[/C]-0.769100[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.102900[/C]0.378800[/C][C]Trim. Kurtosis (33/500)[/C]-0.778900[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.103100[/C]0.378800[/C][C]Trim. Kurtosis (34/500)[/C]-0.788400[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.104200[/C]0.373400[/C][C]Trim. Kurtosis (35/500)[/C]-0.796800[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.106700[/C]0.362800[/C][C]Trim. Kurtosis (36/500)[/C]-0.801900[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.110200[/C]0.347200[/C][C]Trim. Kurtosis (37/500)[/C]-0.806700[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.114400[/C]0.332000[/C][C]Trim. Kurtosis (38/500)[/C]-0.811800[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.117400[/C]0.322200[/C][C]Trim. Kurtosis (39/500)[/C]-0.815900[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.120100[/C]0.312400[/C][C]Trim. Kurtosis (40/500)[/C]-0.820400[/C]0.000600[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103052&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103052&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)0.0468000.667200Trim. Kurtosis (0/500)0.1983000.362800
Trim. Skewness (1/500)-0.0292000.787200Trim. Kurtosis (1/500)-0.2015000.352400
Trim. Skewness (2/500)-0.0332000.756600Trim. Kurtosis (2/500)-0.2391000.271400
Trim. Skewness (3/500)-0.0384000.726400Trim. Kurtosis (3/500)-0.2778000.204000
Trim. Skewness (4/500)-0.0382000.726400Trim. Kurtosis (4/500)-0.3023000.167600
Trim. Skewness (5/500)-0.0384000.726400Trim. Kurtosis (5/500)-0.3264000.136200
Trim. Skewness (6/500)-0.0381000.726400Trim. Kurtosis (6/500)-0.3514000.109600
Trim. Skewness (7/500)-0.0374000.733800Trim. Kurtosis (7/500)-0.3798000.085400
Trim. Skewness (8/500)-0.0381000.726400Trim. Kurtosis (8/500)-0.4077000.064400
Trim. Skewness (9/500)-0.0408000.711400Trim. Kurtosis (9/500)-0.4340000.050000
Trim. Skewness (10/500)-0.0431000.696600Trim. Kurtosis (10/500)-0.4579000.039400
Trim. Skewness (11/500)-0.0466000.674400Trim. Kurtosis (11/500)-0.4750000.032400
Trim. Skewness (12/500)-0.0500000.652800Trim. Kurtosis (12/500)-0.4932000.027200
Trim. Skewness (13/500)-0.0533000.631200Trim. Kurtosis (13/500)-0.5125000.022000
Trim. Skewness (14/500)-0.0567000.610000Trim. Kurtosis (14/500)-0.5313000.017800
Trim. Skewness (15/500)-0.0609000.582400Trim. Kurtosis (15/500)-0.5500000.014200
Trim. Skewness (16/500)-0.0658000.555200Trim. Kurtosis (16/500)-0.5638000.012000
Trim. Skewness (17/500)-0.0711000.528600Trim. Kurtosis (17/500)-0.5800000.010200
Trim. Skewness (18/500)-0.0756000.502800Trim. Kurtosis (18/500)-0.5969000.008200
Trim. Skewness (19/500)-0.0798000.477600Trim. Kurtosis (19/500)-0.6135000.006800
Trim. Skewness (20/500)-0.0832000.459200Trim. Kurtosis (20/500)-0.6277000.005600
Trim. Skewness (21/500)-0.0862000.447200Trim. Kurtosis (21/500)-0.6416000.004800
Trim. Skewness (22/500)-0.0899000.429600Trim. Kurtosis (22/500)-0.6562000.004000
Trim. Skewness (23/500)-0.0935000.412200Trim. Kurtosis (23/500)-0.6726000.003200
Trim. Skewness (24/500)-0.0964000.400800Trim. Kurtosis (24/500)-0.6889000.002600
Trim. Skewness (25/500)-0.0993000.384400Trim. Kurtosis (25/500)-0.7028000.002200
Trim. Skewness (26/500)-0.1009000.378800Trim. Kurtosis (26/500)-0.7161000.001800
Trim. Skewness (27/500)-0.1022000.373400Trim. Kurtosis (27/500)-0.7275000.001600
Trim. Skewness (28/500)-0.1025000.373400Trim. Kurtosis (28/500)-0.7359000.001400
Trim. Skewness (29/500)-0.1028000.373400Trim. Kurtosis (29/500)-0.7434000.001400
Trim. Skewness (30/500)-0.1030000.373400Trim. Kurtosis (30/500)-0.7522000.001200
Trim. Skewness (31/500)-0.1027000.373400Trim. Kurtosis (31/500)-0.7610000.001000
Trim. Skewness (32/500)-0.1028000.378800Trim. Kurtosis (32/500)-0.7691000.001000
Trim. Skewness (33/500)-0.1029000.378800Trim. Kurtosis (33/500)-0.7789000.000800
Trim. Skewness (34/500)-0.1031000.378800Trim. Kurtosis (34/500)-0.7884000.000800
Trim. Skewness (35/500)-0.1042000.373400Trim. Kurtosis (35/500)-0.7968000.000600
Trim. Skewness (36/500)-0.1067000.362800Trim. Kurtosis (36/500)-0.8019000.000600
Trim. Skewness (37/500)-0.1102000.347200Trim. Kurtosis (37/500)-0.8067000.000600
Trim. Skewness (38/500)-0.1144000.332000Trim. Kurtosis (38/500)-0.8118000.000600
Trim. Skewness (39/500)-0.1174000.322200Trim. Kurtosis (39/500)-0.8159000.000600
Trim. Skewness (40/500)-0.1201000.312400Trim. Kurtosis (40/500)-0.8204000.000600


Figures (Output of Computation)

Input Parameters & R Code

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