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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 18:02:07 +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/t1291053621r9tz4v6i8dryfnj.htm/, Retrieved Mon, 29 Apr 2024 15:20:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103001, Retrieved Mon, 29 Apr 2024 15:20:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact123

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                        [Skewness and Kurtosis] [] [2010-11-29 19:19:08] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                          [Skewness and Kurtosis] [] [2010-11-29 19:20:37] [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] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    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]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1327.619052
1686.496762
1662.475254
1800.071834
1702.313561
1518.151955
1493.447337
1562.919887
1581.851036
1425.049312
1394.532679
1559.445392
1713.490564
1588.659834
1564.521567
1687.86876
1647.826599
1449.278604
1561.406528
1254.012828
1541.188584
1381.928464
1584.082876
1589.116042
1450.339152
1427.639218
1572.788252
1503.673072
1715.64309
1720.072988
1474.032152
1548.871918
1690.291695
1424.61192
1524.961604
1636.468704
1330.706199
1422.806932
1416.401775
1525.116387
1480.316249
1557.288199
1364.707425
1413.141177
1328.248114
1655.783547
1561.103488
1526.172752
1402.130368
1239.346515
1653.821719
1351.734043
1638.701443
1761.919798
1344.280413
1454.487221
1389.097005
1367.698185
1404.748283
1630.653709
1435.005675
1510.796476
1645.724532
1450.856946
1194.791332
1587.085219
1327.661175
1558.554881
1811.047121
1403.733621
1587.516529
1734.428192
1375.25057
1413.81228
1435.748606
1318.970228
1498.5162
1440.586402
1321.31
1614.619427
1411.243216
1446.554349
1587.941378
1559.606596
1364.626171
1658.348142
1591.007772
1413.539251
1286.488015
1461.028692
1474.511154
1489.647991
1445.456834
1353.005561
1488.772261
1391.446386
1367.356849
1427.723497
1661.946309
1668.407026
1293.813239
1470.581547
1566.482513
1651.446181
1535.508507
1370.695238
1804.604357
1386.055026
1720.51941
1417.314113
1472.028625
1303.457949
1233.227551
1384.054631
1529.676922
1553.150803
1611.1312
1564.062351
1482.137494
1510.368695

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.370004.113835FISHER 4th Cent. Mom.7.77014e+8
FISHER beta 10.024251FISHER beta 22.450800
FISHER gamma 10.155728FISHER gamma 2-0.549200
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.696435FISHER Test 2-1.228049
FISHER Test 1 Probability0.484000FISHER Test 2 Probability0.218600
Pearson 20.238219
Yule using Quartile definition:Weighted Average at Xnp0.046576
Yule using Quartile definition:Weighted Average at X(n+1)p0.050800
Yule using Quartile definition:Empirical Distribution Function0.046576
Yule using Quartile definition:Empirical Distribution Function - Averaging0.051322
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.051846
Yule using Quartile definition:Closest Observation0.046576
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.051846
Yule using Quartile definition:MS Excel (old versions)0.050280
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.157706Kurtosis (small sample)-0.521073
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.713994TEST 1 (small sample)-1.188767
TEST 1 Prob. (small sample)0.471600TEST 1 Prob. (small sample)0.234000
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.370004.113835 & FISHER 4th Cent. Mom.7.77014e+8 \tabularnewline FISHER beta 10.024251 & FISHER beta 22.450800 \tabularnewline FISHER gamma 10.155728 & FISHER gamma 2-0.549200 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 10.696435 & FISHER Test 2-1.228049 \tabularnewline FISHER Test 1 Probability0.484000 & FISHER Test 2 Probability0.218600 \tabularnewline Pearson 20.238219 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.046576 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.050800 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.046576 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.051322 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.051846 & & \tabularnewline Yule using Quartile definition:Closest Observation0.046576 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.051846 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.050280 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.157706 & Kurtosis (small sample)-0.521073 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)0.713994 & TEST 1 (small sample)-1.188767 \tabularnewline TEST 1 Prob. (small sample)0.471600 & TEST 1 Prob. (small sample)0.234000 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103001&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]370004.113835[/C][C]FISHER 4th Cent. Mom.[/C]7.77014e+8[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.024251[/C][C]FISHER beta 2[/C]2.450800[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.155728[/C][C]FISHER gamma 2[/C]-0.549200[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.223607[/C][C]FISHER gamma 2 (S.E.)[/C]0.447214[/C][/ROW] [ROW][C]FISHER Test 1[/C]0.696435[/C][C]FISHER Test 2[/C]-1.228049[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.484000[/C][C]FISHER Test 2 Probability[/C]0.218600[/C][/ROW] [ROW][C]Pearson 2[/C]0.238219[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.046576[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.050800[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.046576[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.051322[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.051846[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.046576[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.051846[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.050280[/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]0.157706[/C][C]Kurtosis (small sample)[/C]-0.521073[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.220879[/C][C]Kurtosis S.E. (small sample)[/C]0.438331[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]0.713994[/C][C]TEST 1 (small sample)[/C]-1.188767[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.471600[/C][C]TEST 1 Prob. (small sample)[/C]0.234000[/C][/ROW] [ROW][C]Observations[/C]120[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103001&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103001&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.370004.113835FISHER 4th Cent. Mom.7.77014e+8
FISHER beta 10.024251FISHER beta 22.450800
FISHER gamma 10.155728FISHER gamma 2-0.549200
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.696435FISHER Test 2-1.228049
FISHER Test 1 Probability0.484000FISHER Test 2 Probability0.218600
Pearson 20.238219
Yule using Quartile definition:Weighted Average at Xnp0.046576
Yule using Quartile definition:Weighted Average at X(n+1)p0.050800
Yule using Quartile definition:Empirical Distribution Function0.046576
Yule using Quartile definition:Empirical Distribution Function - Averaging0.051322
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.051846
Yule using Quartile definition:Closest Observation0.046576
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.051846
Yule using Quartile definition:MS Excel (old versions)0.050280
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.157706Kurtosis (small sample)-0.521073
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.713994TEST 1 (small sample)-1.188767
TEST 1 Prob. (small sample)0.471600TEST 1 Prob. (small sample)0.234000
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.1577000.471600Trim. Kurtosis (0/120)-0.5211000.234000
Trim. Skewness (1/120)0.1785000.418000Trim. Kurtosis (1/120)-0.6344000.149800
Trim. Skewness (2/120)0.1714000.441200Trim. Kurtosis (2/120)-0.7299000.101000
Trim. Skewness (3/120)0.1593000.477600Trim. Kurtosis (3/120)-0.8687000.052400
Trim. Skewness (4/120)0.1673000.459200Trim. Kurtosis (4/120)-0.9521000.034800
Trim. Skewness (5/120)0.1710000.453200Trim. Kurtosis (5/120)-0.9770000.032400
Trim. Skewness (6/120)0.1792000.435400Trim. Kurtosis (6/120)-0.9919000.030800
Trim. Skewness (7/120)0.1812000.435400Trim. Kurtosis (7/120)-1.0114000.029200
Trim. Skewness (8/120)0.1749000.459200Trim. Kurtosis (8/120)-1.0261000.028600
Trim. Skewness (9/120)0.1660000.484000Trim. Kurtosis (9/120)-1.0507000.026400
Trim. Skewness (10/120)0.1595000.502800Trim. Kurtosis (10/120)-1.0669000.025000
Trim. Skewness (11/120)0.1609000.502800Trim. Kurtosis (11/120)-1.0773000.025000
Trim. Skewness (12/120)0.1633000.502800Trim. Kurtosis (12/120)-1.0976000.023800
Trim. Skewness (13/120)0.1642000.502800Trim. Kurtosis (13/120)-1.1311000.021400
Trim. Skewness (14/120)0.1687000.496400Trim. Kurtosis (14/120)-1.1344000.022600
Trim. Skewness (15/120)0.1719000.496400Trim. Kurtosis (15/120)-1.1312000.024400
Trim. Skewness (16/120)0.1742000.496400Trim. Kurtosis (16/120)-1.1350000.025000
Trim. Skewness (17/120)0.1692000.509200Trim. Kurtosis (17/120)-1.1327000.027200
Trim. Skewness (18/120)0.1644000.528600Trim. Kurtosis (18/120)-1.1354000.028600
Trim. Skewness (19/120)0.1567000.555200Trim. Kurtosis (19/120)-1.1441000.029200
Trim. Skewness (20/120)0.1482000.575400Trim. Kurtosis (20/120)-1.1631000.028600
Trim. Skewness (21/120)0.1375000.610000Trim. Kurtosis (21/120)-1.1892000.027200
Trim. Skewness (22/120)0.1197000.660000Trim. Kurtosis (22/120)-1.2279000.023800
Trim. Skewness (23/120)0.0992000.718800Trim. Kurtosis (23/120)-1.2620000.022000
Trim. Skewness (24/120)0.0722000.794800Trim. Kurtosis (24/120)-1.3142000.018200
Trim. Skewness (25/120)0.0442000.872800Trim. Kurtosis (25/120)-1.3754000.015000
Trim. Skewness (26/120)0.0332000.904400Trim. Kurtosis (26/120)-1.4042000.014200
Trim. Skewness (27/120)0.0209000.936200Trim. Kurtosis (27/120)-1.4403000.013200
Trim. Skewness (28/120)0.0308000.912400Trim. Kurtosis (28/120)-1.4418000.014200
Trim. Skewness (29/120)0.0348000.904400Trim. Kurtosis (29/120)-1.4336000.016400
Trim. Skewness (30/120)0.0379000.896600Trim. Kurtosis (30/120)-1.4276000.018800
Trim. Skewness (31/120)0.0412000.888600Trim. Kurtosis (31/120)-1.4259000.020800
Trim. Skewness (32/120)0.0356000.904400Trim. Kurtosis (32/120)-1.4206000.023200
Trim. Skewness (33/120)0.0254000.936200Trim. Kurtosis (33/120)-1.4208000.025800
Trim. Skewness (34/120)0.0169000.952200Trim. Kurtosis (34/120)-1.4237000.028600
Trim. Skewness (35/120)0.0094000.976000Trim. Kurtosis (35/120)-1.4348000.030000
Trim. Skewness (36/120)0.0141000.960200Trim. Kurtosis (36/120)-1.4275000.034000
Trim. Skewness (37/120)0.0306000.928200Trim. Kurtosis (37/120)-1.4143000.039400
Trim. Skewness (38/120)0.0427000.904400Trim. Kurtosis (38/120)-1.3876000.047800
Trim. Skewness (39/120)0.0555000.872800Trim. Kurtosis (39/120)-1.3583000.057400
Trim. Skewness (40/120)0.0745000.841400Trim. Kurtosis (40/120)-1.3308000.068800

\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 (0/120)0.1577000.471600 & Trim. Kurtosis (0/120)-0.5211000.234000 \tabularnewline Trim. Skewness (1/120)0.1785000.418000 & Trim. Kurtosis (1/120)-0.6344000.149800 \tabularnewline Trim. Skewness (2/120)0.1714000.441200 & Trim. Kurtosis (2/120)-0.7299000.101000 \tabularnewline Trim. Skewness (3/120)0.1593000.477600 & Trim. Kurtosis (3/120)-0.8687000.052400 \tabularnewline Trim. Skewness (4/120)0.1673000.459200 & Trim. Kurtosis (4/120)-0.9521000.034800 \tabularnewline Trim. Skewness (5/120)0.1710000.453200 & Trim. Kurtosis (5/120)-0.9770000.032400 \tabularnewline Trim. Skewness (6/120)0.1792000.435400 & Trim. Kurtosis (6/120)-0.9919000.030800 \tabularnewline Trim. Skewness (7/120)0.1812000.435400 & Trim. Kurtosis (7/120)-1.0114000.029200 \tabularnewline Trim. Skewness (8/120)0.1749000.459200 & Trim. Kurtosis (8/120)-1.0261000.028600 \tabularnewline Trim. Skewness (9/120)0.1660000.484000 & Trim. Kurtosis (9/120)-1.0507000.026400 \tabularnewline Trim. Skewness (10/120)0.1595000.502800 & Trim. Kurtosis (10/120)-1.0669000.025000 \tabularnewline Trim. Skewness (11/120)0.1609000.502800 & Trim. Kurtosis (11/120)-1.0773000.025000 \tabularnewline Trim. Skewness (12/120)0.1633000.502800 & Trim. Kurtosis (12/120)-1.0976000.023800 \tabularnewline Trim. Skewness (13/120)0.1642000.502800 & Trim. Kurtosis (13/120)-1.1311000.021400 \tabularnewline Trim. Skewness (14/120)0.1687000.496400 & Trim. Kurtosis (14/120)-1.1344000.022600 \tabularnewline Trim. Skewness (15/120)0.1719000.496400 & Trim. Kurtosis (15/120)-1.1312000.024400 \tabularnewline Trim. Skewness (16/120)0.1742000.496400 & Trim. Kurtosis (16/120)-1.1350000.025000 \tabularnewline Trim. Skewness (17/120)0.1692000.509200 & Trim. Kurtosis (17/120)-1.1327000.027200 \tabularnewline Trim. Skewness (18/120)0.1644000.528600 & Trim. Kurtosis (18/120)-1.1354000.028600 \tabularnewline Trim. Skewness (19/120)0.1567000.555200 & Trim. Kurtosis (19/120)-1.1441000.029200 \tabularnewline Trim. Skewness (20/120)0.1482000.575400 & Trim. Kurtosis (20/120)-1.1631000.028600 \tabularnewline Trim. Skewness (21/120)0.1375000.610000 & Trim. Kurtosis (21/120)-1.1892000.027200 \tabularnewline Trim. Skewness (22/120)0.1197000.660000 & Trim. Kurtosis (22/120)-1.2279000.023800 \tabularnewline Trim. Skewness (23/120)0.0992000.718800 & Trim. Kurtosis (23/120)-1.2620000.022000 \tabularnewline Trim. Skewness (24/120)0.0722000.794800 & Trim. Kurtosis (24/120)-1.3142000.018200 \tabularnewline Trim. Skewness (25/120)0.0442000.872800 & Trim. Kurtosis (25/120)-1.3754000.015000 \tabularnewline Trim. Skewness (26/120)0.0332000.904400 & Trim. Kurtosis (26/120)-1.4042000.014200 \tabularnewline Trim. Skewness (27/120)0.0209000.936200 & Trim. Kurtosis (27/120)-1.4403000.013200 \tabularnewline Trim. Skewness (28/120)0.0308000.912400 & Trim. Kurtosis (28/120)-1.4418000.014200 \tabularnewline Trim. Skewness (29/120)0.0348000.904400 & Trim. Kurtosis (29/120)-1.4336000.016400 \tabularnewline Trim. Skewness (30/120)0.0379000.896600 & Trim. Kurtosis (30/120)-1.4276000.018800 \tabularnewline Trim. Skewness (31/120)0.0412000.888600 & Trim. Kurtosis (31/120)-1.4259000.020800 \tabularnewline Trim. Skewness (32/120)0.0356000.904400 & Trim. Kurtosis (32/120)-1.4206000.023200 \tabularnewline Trim. Skewness (33/120)0.0254000.936200 & Trim. Kurtosis (33/120)-1.4208000.025800 \tabularnewline Trim. Skewness (34/120)0.0169000.952200 & Trim. Kurtosis (34/120)-1.4237000.028600 \tabularnewline Trim. Skewness (35/120)0.0094000.976000 & Trim. Kurtosis (35/120)-1.4348000.030000 \tabularnewline Trim. Skewness (36/120)0.0141000.960200 & Trim. Kurtosis (36/120)-1.4275000.034000 \tabularnewline Trim. Skewness (37/120)0.0306000.928200 & Trim. Kurtosis (37/120)-1.4143000.039400 \tabularnewline Trim. Skewness (38/120)0.0427000.904400 & Trim. Kurtosis (38/120)-1.3876000.047800 \tabularnewline Trim. Skewness (39/120)0.0555000.872800 & Trim. Kurtosis (39/120)-1.3583000.057400 \tabularnewline Trim. Skewness (40/120)0.0745000.841400 & Trim. Kurtosis (40/120)-1.3308000.068800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103001&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 (0/120)[/C]0.157700[/C]0.471600[/C][C]Trim. Kurtosis (0/120)[/C]-0.521100[/C]0.234000[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.178500[/C]0.418000[/C][C]Trim. Kurtosis (1/120)[/C]-0.634400[/C]0.149800[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.171400[/C]0.441200[/C][C]Trim. Kurtosis (2/120)[/C]-0.729900[/C]0.101000[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.159300[/C]0.477600[/C][C]Trim. Kurtosis (3/120)[/C]-0.868700[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.167300[/C]0.459200[/C][C]Trim. Kurtosis (4/120)[/C]-0.952100[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.171000[/C]0.453200[/C][C]Trim. Kurtosis (5/120)[/C]-0.977000[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.179200[/C]0.435400[/C][C]Trim. Kurtosis (6/120)[/C]-0.991900[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.181200[/C]0.435400[/C][C]Trim. Kurtosis (7/120)[/C]-1.011400[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.174900[/C]0.459200[/C][C]Trim. Kurtosis (8/120)[/C]-1.026100[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.166000[/C]0.484000[/C][C]Trim. Kurtosis (9/120)[/C]-1.050700[/C]0.026400[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.159500[/C]0.502800[/C][C]Trim. Kurtosis (10/120)[/C]-1.066900[/C]0.025000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.160900[/C]0.502800[/C][C]Trim. Kurtosis (11/120)[/C]-1.077300[/C]0.025000[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.163300[/C]0.502800[/C][C]Trim. Kurtosis (12/120)[/C]-1.097600[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.164200[/C]0.502800[/C][C]Trim. Kurtosis (13/120)[/C]-1.131100[/C]0.021400[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.168700[/C]0.496400[/C][C]Trim. Kurtosis (14/120)[/C]-1.134400[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.171900[/C]0.496400[/C][C]Trim. Kurtosis (15/120)[/C]-1.131200[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.174200[/C]0.496400[/C][C]Trim. Kurtosis (16/120)[/C]-1.135000[/C]0.025000[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.169200[/C]0.509200[/C][C]Trim. Kurtosis (17/120)[/C]-1.132700[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.164400[/C]0.528600[/C][C]Trim. Kurtosis (18/120)[/C]-1.135400[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.156700[/C]0.555200[/C][C]Trim. Kurtosis (19/120)[/C]-1.144100[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.148200[/C]0.575400[/C][C]Trim. Kurtosis (20/120)[/C]-1.163100[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.137500[/C]0.610000[/C][C]Trim. Kurtosis (21/120)[/C]-1.189200[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.119700[/C]0.660000[/C][C]Trim. Kurtosis (22/120)[/C]-1.227900[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.099200[/C]0.718800[/C][C]Trim. Kurtosis (23/120)[/C]-1.262000[/C]0.022000[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.072200[/C]0.794800[/C][C]Trim. Kurtosis (24/120)[/C]-1.314200[/C]0.018200[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.044200[/C]0.872800[/C][C]Trim. Kurtosis (25/120)[/C]-1.375400[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.033200[/C]0.904400[/C][C]Trim. Kurtosis (26/120)[/C]-1.404200[/C]0.014200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.020900[/C]0.936200[/C][C]Trim. Kurtosis (27/120)[/C]-1.440300[/C]0.013200[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.030800[/C]0.912400[/C][C]Trim. Kurtosis (28/120)[/C]-1.441800[/C]0.014200[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.034800[/C]0.904400[/C][C]Trim. Kurtosis (29/120)[/C]-1.433600[/C]0.016400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.037900[/C]0.896600[/C][C]Trim. Kurtosis (30/120)[/C]-1.427600[/C]0.018800[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.041200[/C]0.888600[/C][C]Trim. Kurtosis (31/120)[/C]-1.425900[/C]0.020800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.035600[/C]0.904400[/C][C]Trim. Kurtosis (32/120)[/C]-1.420600[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.025400[/C]0.936200[/C][C]Trim. Kurtosis (33/120)[/C]-1.420800[/C]0.025800[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.016900[/C]0.952200[/C][C]Trim. Kurtosis (34/120)[/C]-1.423700[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.009400[/C]0.976000[/C][C]Trim. Kurtosis (35/120)[/C]-1.434800[/C]0.030000[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.014100[/C]0.960200[/C][C]Trim. Kurtosis (36/120)[/C]-1.427500[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.030600[/C]0.928200[/C][C]Trim. Kurtosis (37/120)[/C]-1.414300[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.042700[/C]0.904400[/C][C]Trim. Kurtosis (38/120)[/C]-1.387600[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.055500[/C]0.872800[/C][C]Trim. Kurtosis (39/120)[/C]-1.358300[/C]0.057400[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.074500[/C]0.841400[/C][C]Trim. Kurtosis (40/120)[/C]-1.330800[/C]0.068800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103001&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103001&T=1

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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 (0/120)0.1577000.471600Trim. Kurtosis (0/120)-0.5211000.234000
Trim. Skewness (1/120)0.1785000.418000Trim. Kurtosis (1/120)-0.6344000.149800
Trim. Skewness (2/120)0.1714000.441200Trim. Kurtosis (2/120)-0.7299000.101000
Trim. Skewness (3/120)0.1593000.477600Trim. Kurtosis (3/120)-0.8687000.052400
Trim. Skewness (4/120)0.1673000.459200Trim. Kurtosis (4/120)-0.9521000.034800
Trim. Skewness (5/120)0.1710000.453200Trim. Kurtosis (5/120)-0.9770000.032400
Trim. Skewness (6/120)0.1792000.435400Trim. Kurtosis (6/120)-0.9919000.030800
Trim. Skewness (7/120)0.1812000.435400Trim. Kurtosis (7/120)-1.0114000.029200
Trim. Skewness (8/120)0.1749000.459200Trim. Kurtosis (8/120)-1.0261000.028600
Trim. Skewness (9/120)0.1660000.484000Trim. Kurtosis (9/120)-1.0507000.026400
Trim. Skewness (10/120)0.1595000.502800Trim. Kurtosis (10/120)-1.0669000.025000
Trim. Skewness (11/120)0.1609000.502800Trim. Kurtosis (11/120)-1.0773000.025000
Trim. Skewness (12/120)0.1633000.502800Trim. Kurtosis (12/120)-1.0976000.023800
Trim. Skewness (13/120)0.1642000.502800Trim. Kurtosis (13/120)-1.1311000.021400
Trim. Skewness (14/120)0.1687000.496400Trim. Kurtosis (14/120)-1.1344000.022600
Trim. Skewness (15/120)0.1719000.496400Trim. Kurtosis (15/120)-1.1312000.024400
Trim. Skewness (16/120)0.1742000.496400Trim. Kurtosis (16/120)-1.1350000.025000
Trim. Skewness (17/120)0.1692000.509200Trim. Kurtosis (17/120)-1.1327000.027200
Trim. Skewness (18/120)0.1644000.528600Trim. Kurtosis (18/120)-1.1354000.028600
Trim. Skewness (19/120)0.1567000.555200Trim. Kurtosis (19/120)-1.1441000.029200
Trim. Skewness (20/120)0.1482000.575400Trim. Kurtosis (20/120)-1.1631000.028600
Trim. Skewness (21/120)0.1375000.610000Trim. Kurtosis (21/120)-1.1892000.027200
Trim. Skewness (22/120)0.1197000.660000Trim. Kurtosis (22/120)-1.2279000.023800
Trim. Skewness (23/120)0.0992000.718800Trim. Kurtosis (23/120)-1.2620000.022000
Trim. Skewness (24/120)0.0722000.794800Trim. Kurtosis (24/120)-1.3142000.018200
Trim. Skewness (25/120)0.0442000.872800Trim. Kurtosis (25/120)-1.3754000.015000
Trim. Skewness (26/120)0.0332000.904400Trim. Kurtosis (26/120)-1.4042000.014200
Trim. Skewness (27/120)0.0209000.936200Trim. Kurtosis (27/120)-1.4403000.013200
Trim. Skewness (28/120)0.0308000.912400Trim. Kurtosis (28/120)-1.4418000.014200
Trim. Skewness (29/120)0.0348000.904400Trim. Kurtosis (29/120)-1.4336000.016400
Trim. Skewness (30/120)0.0379000.896600Trim. Kurtosis (30/120)-1.4276000.018800
Trim. Skewness (31/120)0.0412000.888600Trim. Kurtosis (31/120)-1.4259000.020800
Trim. Skewness (32/120)0.0356000.904400Trim. Kurtosis (32/120)-1.4206000.023200
Trim. Skewness (33/120)0.0254000.936200Trim. Kurtosis (33/120)-1.4208000.025800
Trim. Skewness (34/120)0.0169000.952200Trim. Kurtosis (34/120)-1.4237000.028600
Trim. Skewness (35/120)0.0094000.976000Trim. Kurtosis (35/120)-1.4348000.030000
Trim. Skewness (36/120)0.0141000.960200Trim. Kurtosis (36/120)-1.4275000.034000
Trim. Skewness (37/120)0.0306000.928200Trim. Kurtosis (37/120)-1.4143000.039400
Trim. Skewness (38/120)0.0427000.904400Trim. Kurtosis (38/120)-1.3876000.047800
Trim. Skewness (39/120)0.0555000.872800Trim. Kurtosis (39/120)-1.3583000.057400
Trim. Skewness (40/120)0.0745000.841400Trim. Kurtosis (40/120)-1.3308000.068800


Figures (Output of Computation)

Input Parameters & R Code

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