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 17:35:36 +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/t12910520457dxlrvauxszo45t.htm/, Retrieved Mon, 29 Apr 2024 14:40:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102974, Retrieved Mon, 29 Apr 2024 14:40:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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] [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]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1621.82
1623.15
1616.66
1620.45
1595.53
1586.48
1567.2
1541.33
1489.22
1424.59
1414.77
1394.74
1436.3
1445.96
1440.33
1344.47
1334.68
1285.1
1278.7
1306.06
1308.8
1318.36
1341
1309.07
1286.04
1300.86
1303.94
1287.35
1299.16
1310.23
1312.97
1312.8
1331.24
1330.65
1336.59
1333.59
1334.32
1321.71
1330.15
1343.77
1351.98
1385.2
1385.9
1396.98
1391.38
1384.59
1383.21
1403.8
1439.49
1464.98
1465.74
1459.12
1456.23
1433.88
1453.96
1498.21
1511.81
1501.36
1496.68
1478.68
1506.83
1517.57
1511.19
1520.09
1539.34
1566.83
1616.3
1663.5
1623.94
1584.1
1617.98
1652.63
1936.19
1592.41
1607.28
1626.42
1601.92
1558.44
1674.33
1668.7
1663.9
1691.19
1670.9
1644.48
1687.02
1674.92
1701.82
1727.47
1712.79
1685.15
1608.56
1544.62
1526.67
1495.69
1517.35
1558.1
1649.7
1587.6
1603.85
1550.36
1524
1468.74
1506.02
1523.71
1569.42
1604.19
1607.59
1603.42
1607.66
1614.14
1622.83
1659.11
1697.75
1678.59
1695.61
1706.66
1682.08
1662.9
1645.26
1673.87

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-51087.633137FISHER 4th Cent. Mom.8.03841e+8
FISHER beta 10.000390FISHER beta 22.262499
FISHER gamma 1-0.019741FISHER gamma 2-0.737501
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.088287FISHER Test 2-1.649103
FISHER Test 1 Probability0.928200FISHER Test 2 Probability0.099000
Pearson 2-0.203637
Yule using Quartile definition:Weighted Average at Xnp-0.159667
Yule using Quartile definition:Weighted Average at X(n+1)p-0.149664
Yule using Quartile definition:Empirical Distribution Function-0.159667
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.146347
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.142981
Yule using Quartile definition:Closest Observation-0.159667
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.142981
Yule using Quartile definition:MS Excel (old versions)-0.152933
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.019992Kurtosis (small sample)-0.717462
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.090512TEST 1 (small sample)-1.636806
TEST 1 Prob. (small sample)0.920400TEST 1 Prob. (small sample)0.101000
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-51087.633137 & FISHER 4th Cent. Mom.8.03841e+8 \tabularnewline FISHER beta 10.000390 & FISHER beta 22.262499 \tabularnewline FISHER gamma 1-0.019741 & FISHER gamma 2-0.737501 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-0.088287 & FISHER Test 2-1.649103 \tabularnewline FISHER Test 1 Probability0.928200 & FISHER Test 2 Probability0.099000 \tabularnewline Pearson 2-0.203637 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.159667 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.149664 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.159667 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.146347 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.142981 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.159667 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.142981 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.152933 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.019992 & Kurtosis (small sample)-0.717462 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-0.090512 & TEST 1 (small sample)-1.636806 \tabularnewline TEST 1 Prob. (small sample)0.920400 & TEST 1 Prob. (small sample)0.101000 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102974&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]-51087.633137[/C][C]FISHER 4th Cent. Mom.[/C]8.03841e+8[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.000390[/C][C]FISHER beta 2[/C]2.262499[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.019741[/C][C]FISHER gamma 2[/C]-0.737501[/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]-0.088287[/C][C]FISHER Test 2[/C]-1.649103[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.928200[/C][C]FISHER Test 2 Probability[/C]0.099000[/C][/ROW] [ROW][C]Pearson 2[/C]-0.203637[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.159667[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.149664[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.159667[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.146347[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.142981[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.159667[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.142981[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.152933[/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]-0.019992[/C][C]Kurtosis (small sample)[/C]-0.717462[/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]-0.090512[/C][C]TEST 1 (small sample)[/C]-1.636806[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.920400[/C][C]TEST 1 Prob. (small sample)[/C]0.101000[/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=102974&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102974&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.-51087.633137FISHER 4th Cent. Mom.8.03841e+8
FISHER beta 10.000390FISHER beta 22.262499
FISHER gamma 1-0.019741FISHER gamma 2-0.737501
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.088287FISHER Test 2-1.649103
FISHER Test 1 Probability0.928200FISHER Test 2 Probability0.099000
Pearson 2-0.203637
Yule using Quartile definition:Weighted Average at Xnp-0.159667
Yule using Quartile definition:Weighted Average at X(n+1)p-0.149664
Yule using Quartile definition:Empirical Distribution Function-0.159667
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.146347
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.142981
Yule using Quartile definition:Closest Observation-0.159667
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.142981
Yule using Quartile definition:MS Excel (old versions)-0.152933
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.019992Kurtosis (small sample)-0.717462
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.090512TEST 1 (small sample)-1.636806
TEST 1 Prob. (small sample)0.920400TEST 1 Prob. (small sample)0.101000
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.0200000.920400Trim. Kurtosis (0/120)-0.7175000.101000
Trim. Skewness (1/120)-0.2271000.307800Trim. Kurtosis (1/120)-1.2555000.004400
Trim. Skewness (2/120)-0.2390000.284600Trim. Kurtosis (2/120)-1.2555000.004800
Trim. Skewness (3/120)-0.2459000.275800Trim. Kurtosis (3/120)-1.2514000.005200
Trim. Skewness (4/120)-0.2513000.267000Trim. Kurtosis (4/120)-1.2472000.005800
Trim. Skewness (5/120)-0.2593000.258400Trim. Kurtosis (5/120)-1.2366000.006800
Trim. Skewness (6/120)-0.2667000.250200Trim. Kurtosis (6/120)-1.2252000.007800
Trim. Skewness (7/120)-0.2749000.238000Trim. Kurtosis (7/120)-1.2129000.009000
Trim. Skewness (8/120)-0.2825000.230200Trim. Kurtosis (8/120)-1.1995000.010400
Trim. Skewness (9/120)-0.2897000.222400Trim. Kurtosis (9/120)-1.1844000.012400
Trim. Skewness (10/120)-0.2965000.218600Trim. Kurtosis (10/120)-1.1703000.014200
Trim. Skewness (11/120)-0.3024000.211200Trim. Kurtosis (11/120)-1.1566000.016400
Trim. Skewness (12/120)-0.3078000.207600Trim. Kurtosis (12/120)-1.1421000.018800
Trim. Skewness (13/120)-0.3111000.207600Trim. Kurtosis (13/120)-1.1294000.021400
Trim. Skewness (14/120)-0.3165000.207600Trim. Kurtosis (14/120)-1.1145000.025000
Trim. Skewness (15/120)-0.3233000.200600Trim. Kurtosis (15/120)-1.0996000.028600
Trim. Skewness (16/120)-0.3334000.193600Trim. Kurtosis (16/120)-1.0776000.034000
Trim. Skewness (17/120)-0.3427000.186800Trim. Kurtosis (17/120)-1.0570000.039400
Trim. Skewness (18/120)-0.3492000.183600Trim. Kurtosis (18/120)-1.0373000.045600
Trim. Skewness (19/120)-0.3566000.177000Trim. Kurtosis (19/120)-1.0194000.052400
Trim. Skewness (20/120)-0.3635000.173800Trim. Kurtosis (20/120)-1.0076000.057400
Trim. Skewness (21/120)-0.3661000.177000Trim. Kurtosis (21/120)-1.0043000.061400
Trim. Skewness (22/120)-0.3620000.186800Trim. Kurtosis (22/120)-1.0085000.062800
Trim. Skewness (23/120)-0.3558000.200600Trim. Kurtosis (23/120)-1.0186000.064400
Trim. Skewness (24/120)-0.3428000.222400Trim. Kurtosis (24/120)-1.0423000.061400
Trim. Skewness (25/120)-0.3209000.262800Trim. Kurtosis (25/120)-1.0998000.051200
Trim. Skewness (26/120)-0.2823000.327000Trim. Kurtosis (26/120)-1.1592000.043400
Trim. Skewness (27/120)-0.2777000.342200Trim. Kurtosis (27/120)-1.1359000.050000
Trim. Skewness (28/120)-0.2702000.362800Trim. Kurtosis (28/120)-1.1152000.058800
Trim. Skewness (29/120)-0.2578000.395400Trim. Kurtosis (29/120)-1.1025000.065800
Trim. Skewness (30/120)-0.2377000.441200Trim. Kurtosis (30/120)-1.1034000.068800
Trim. Skewness (31/120)-0.2163000.490200Trim. Kurtosis (31/120)-1.1040000.073400
Trim. Skewness (32/120)-0.1872000.555200Trim. Kurtosis (32/120)-1.1142000.075000
Trim. Skewness (33/120)-0.1461000.645600Trim. Kurtosis (33/120)-1.1481000.071800
Trim. Skewness (34/120)-0.1036000.749000Trim. Kurtosis (34/120)-1.1881000.067200
Trim. Skewness (35/120)-0.0704000.833600Trim. Kurtosis (35/120)-1.2049000.067200
Trim. Skewness (36/120)-0.0409000.904400Trim. Kurtosis (36/120)-1.1940000.075000
Trim. Skewness (37/120)-0.0229000.944200Trim. Kurtosis (37/120)-1.1584000.091000
Trim. Skewness (38/120)-0.0028000.992000Trim. Kurtosis (38/120)-1.1227000.107400
Trim. Skewness (39/120)0.0174000.960200Trim. Kurtosis (39/120)-1.0862000.128600
Trim. Skewness (40/120)0.0551000.880800Trim. Kurtosis (40/120)-1.0592000.147000

\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)-0.0200000.920400 & Trim. Kurtosis (0/120)-0.7175000.101000 \tabularnewline Trim. Skewness (1/120)-0.2271000.307800 & Trim. Kurtosis (1/120)-1.2555000.004400 \tabularnewline Trim. Skewness (2/120)-0.2390000.284600 & Trim. Kurtosis (2/120)-1.2555000.004800 \tabularnewline Trim. Skewness (3/120)-0.2459000.275800 & Trim. Kurtosis (3/120)-1.2514000.005200 \tabularnewline Trim. Skewness (4/120)-0.2513000.267000 & Trim. Kurtosis (4/120)-1.2472000.005800 \tabularnewline Trim. Skewness (5/120)-0.2593000.258400 & Trim. Kurtosis (5/120)-1.2366000.006800 \tabularnewline Trim. Skewness (6/120)-0.2667000.250200 & Trim. Kurtosis (6/120)-1.2252000.007800 \tabularnewline Trim. Skewness (7/120)-0.2749000.238000 & Trim. Kurtosis (7/120)-1.2129000.009000 \tabularnewline Trim. Skewness (8/120)-0.2825000.230200 & Trim. Kurtosis (8/120)-1.1995000.010400 \tabularnewline Trim. Skewness (9/120)-0.2897000.222400 & Trim. Kurtosis (9/120)-1.1844000.012400 \tabularnewline Trim. Skewness (10/120)-0.2965000.218600 & Trim. Kurtosis (10/120)-1.1703000.014200 \tabularnewline Trim. Skewness (11/120)-0.3024000.211200 & Trim. Kurtosis (11/120)-1.1566000.016400 \tabularnewline Trim. Skewness (12/120)-0.3078000.207600 & Trim. Kurtosis (12/120)-1.1421000.018800 \tabularnewline Trim. Skewness (13/120)-0.3111000.207600 & Trim. Kurtosis (13/120)-1.1294000.021400 \tabularnewline Trim. Skewness (14/120)-0.3165000.207600 & Trim. Kurtosis (14/120)-1.1145000.025000 \tabularnewline Trim. Skewness (15/120)-0.3233000.200600 & Trim. Kurtosis (15/120)-1.0996000.028600 \tabularnewline Trim. Skewness (16/120)-0.3334000.193600 & Trim. Kurtosis (16/120)-1.0776000.034000 \tabularnewline Trim. Skewness (17/120)-0.3427000.186800 & Trim. Kurtosis (17/120)-1.0570000.039400 \tabularnewline Trim. Skewness (18/120)-0.3492000.183600 & Trim. Kurtosis (18/120)-1.0373000.045600 \tabularnewline Trim. Skewness (19/120)-0.3566000.177000 & Trim. Kurtosis (19/120)-1.0194000.052400 \tabularnewline Trim. Skewness (20/120)-0.3635000.173800 & Trim. Kurtosis (20/120)-1.0076000.057400 \tabularnewline Trim. Skewness (21/120)-0.3661000.177000 & Trim. Kurtosis (21/120)-1.0043000.061400 \tabularnewline Trim. Skewness (22/120)-0.3620000.186800 & Trim. Kurtosis (22/120)-1.0085000.062800 \tabularnewline Trim. Skewness (23/120)-0.3558000.200600 & Trim. Kurtosis (23/120)-1.0186000.064400 \tabularnewline Trim. Skewness (24/120)-0.3428000.222400 & Trim. Kurtosis (24/120)-1.0423000.061400 \tabularnewline Trim. Skewness (25/120)-0.3209000.262800 & Trim. Kurtosis (25/120)-1.0998000.051200 \tabularnewline Trim. Skewness (26/120)-0.2823000.327000 & Trim. Kurtosis (26/120)-1.1592000.043400 \tabularnewline Trim. Skewness (27/120)-0.2777000.342200 & Trim. Kurtosis (27/120)-1.1359000.050000 \tabularnewline Trim. Skewness (28/120)-0.2702000.362800 & Trim. Kurtosis (28/120)-1.1152000.058800 \tabularnewline Trim. Skewness (29/120)-0.2578000.395400 & Trim. Kurtosis (29/120)-1.1025000.065800 \tabularnewline Trim. Skewness (30/120)-0.2377000.441200 & Trim. Kurtosis (30/120)-1.1034000.068800 \tabularnewline Trim. Skewness (31/120)-0.2163000.490200 & Trim. Kurtosis (31/120)-1.1040000.073400 \tabularnewline Trim. Skewness (32/120)-0.1872000.555200 & Trim. Kurtosis (32/120)-1.1142000.075000 \tabularnewline Trim. Skewness (33/120)-0.1461000.645600 & Trim. Kurtosis (33/120)-1.1481000.071800 \tabularnewline Trim. Skewness (34/120)-0.1036000.749000 & Trim. Kurtosis (34/120)-1.1881000.067200 \tabularnewline Trim. Skewness (35/120)-0.0704000.833600 & Trim. Kurtosis (35/120)-1.2049000.067200 \tabularnewline Trim. Skewness (36/120)-0.0409000.904400 & Trim. Kurtosis (36/120)-1.1940000.075000 \tabularnewline Trim. Skewness (37/120)-0.0229000.944200 & Trim. Kurtosis (37/120)-1.1584000.091000 \tabularnewline Trim. Skewness (38/120)-0.0028000.992000 & Trim. Kurtosis (38/120)-1.1227000.107400 \tabularnewline Trim. Skewness (39/120)0.0174000.960200 & Trim. Kurtosis (39/120)-1.0862000.128600 \tabularnewline Trim. Skewness (40/120)0.0551000.880800 & Trim. Kurtosis (40/120)-1.0592000.147000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102974&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]-0.020000[/C]0.920400[/C][C]Trim. Kurtosis (0/120)[/C]-0.717500[/C]0.101000[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.227100[/C]0.307800[/C][C]Trim. Kurtosis (1/120)[/C]-1.255500[/C]0.004400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.239000[/C]0.284600[/C][C]Trim. Kurtosis (2/120)[/C]-1.255500[/C]0.004800[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.245900[/C]0.275800[/C][C]Trim. Kurtosis (3/120)[/C]-1.251400[/C]0.005200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.251300[/C]0.267000[/C][C]Trim. Kurtosis (4/120)[/C]-1.247200[/C]0.005800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.259300[/C]0.258400[/C][C]Trim. Kurtosis (5/120)[/C]-1.236600[/C]0.006800[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.266700[/C]0.250200[/C][C]Trim. Kurtosis (6/120)[/C]-1.225200[/C]0.007800[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.274900[/C]0.238000[/C][C]Trim. Kurtosis (7/120)[/C]-1.212900[/C]0.009000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.282500[/C]0.230200[/C][C]Trim. Kurtosis (8/120)[/C]-1.199500[/C]0.010400[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.289700[/C]0.222400[/C][C]Trim. Kurtosis (9/120)[/C]-1.184400[/C]0.012400[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.296500[/C]0.218600[/C][C]Trim. Kurtosis (10/120)[/C]-1.170300[/C]0.014200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.302400[/C]0.211200[/C][C]Trim. Kurtosis (11/120)[/C]-1.156600[/C]0.016400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.307800[/C]0.207600[/C][C]Trim. Kurtosis (12/120)[/C]-1.142100[/C]0.018800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.311100[/C]0.207600[/C][C]Trim. Kurtosis (13/120)[/C]-1.129400[/C]0.021400[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.316500[/C]0.207600[/C][C]Trim. Kurtosis (14/120)[/C]-1.114500[/C]0.025000[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.323300[/C]0.200600[/C][C]Trim. Kurtosis (15/120)[/C]-1.099600[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.333400[/C]0.193600[/C][C]Trim. Kurtosis (16/120)[/C]-1.077600[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.342700[/C]0.186800[/C][C]Trim. Kurtosis (17/120)[/C]-1.057000[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.349200[/C]0.183600[/C][C]Trim. Kurtosis (18/120)[/C]-1.037300[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.356600[/C]0.177000[/C][C]Trim. Kurtosis (19/120)[/C]-1.019400[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.363500[/C]0.173800[/C][C]Trim. Kurtosis (20/120)[/C]-1.007600[/C]0.057400[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.366100[/C]0.177000[/C][C]Trim. Kurtosis (21/120)[/C]-1.004300[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.362000[/C]0.186800[/C][C]Trim. Kurtosis (22/120)[/C]-1.008500[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.355800[/C]0.200600[/C][C]Trim. Kurtosis (23/120)[/C]-1.018600[/C]0.064400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.342800[/C]0.222400[/C][C]Trim. Kurtosis (24/120)[/C]-1.042300[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.320900[/C]0.262800[/C][C]Trim. Kurtosis (25/120)[/C]-1.099800[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.282300[/C]0.327000[/C][C]Trim. Kurtosis (26/120)[/C]-1.159200[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.277700[/C]0.342200[/C][C]Trim. Kurtosis (27/120)[/C]-1.135900[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.270200[/C]0.362800[/C][C]Trim. Kurtosis (28/120)[/C]-1.115200[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.257800[/C]0.395400[/C][C]Trim. Kurtosis (29/120)[/C]-1.102500[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.237700[/C]0.441200[/C][C]Trim. Kurtosis (30/120)[/C]-1.103400[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.216300[/C]0.490200[/C][C]Trim. Kurtosis (31/120)[/C]-1.104000[/C]0.073400[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.187200[/C]0.555200[/C][C]Trim. Kurtosis (32/120)[/C]-1.114200[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.146100[/C]0.645600[/C][C]Trim. Kurtosis (33/120)[/C]-1.148100[/C]0.071800[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.103600[/C]0.749000[/C][C]Trim. Kurtosis (34/120)[/C]-1.188100[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.070400[/C]0.833600[/C][C]Trim. Kurtosis (35/120)[/C]-1.204900[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.040900[/C]0.904400[/C][C]Trim. Kurtosis (36/120)[/C]-1.194000[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.022900[/C]0.944200[/C][C]Trim. Kurtosis (37/120)[/C]-1.158400[/C]0.091000[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.002800[/C]0.992000[/C][C]Trim. Kurtosis (38/120)[/C]-1.122700[/C]0.107400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.017400[/C]0.960200[/C][C]Trim. Kurtosis (39/120)[/C]-1.086200[/C]0.128600[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.055100[/C]0.880800[/C][C]Trim. Kurtosis (40/120)[/C]-1.059200[/C]0.147000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102974&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102974&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 (0/120)-0.0200000.920400Trim. Kurtosis (0/120)-0.7175000.101000
Trim. Skewness (1/120)-0.2271000.307800Trim. Kurtosis (1/120)-1.2555000.004400
Trim. Skewness (2/120)-0.2390000.284600Trim. Kurtosis (2/120)-1.2555000.004800
Trim. Skewness (3/120)-0.2459000.275800Trim. Kurtosis (3/120)-1.2514000.005200
Trim. Skewness (4/120)-0.2513000.267000Trim. Kurtosis (4/120)-1.2472000.005800
Trim. Skewness (5/120)-0.2593000.258400Trim. Kurtosis (5/120)-1.2366000.006800
Trim. Skewness (6/120)-0.2667000.250200Trim. Kurtosis (6/120)-1.2252000.007800
Trim. Skewness (7/120)-0.2749000.238000Trim. Kurtosis (7/120)-1.2129000.009000
Trim. Skewness (8/120)-0.2825000.230200Trim. Kurtosis (8/120)-1.1995000.010400
Trim. Skewness (9/120)-0.2897000.222400Trim. Kurtosis (9/120)-1.1844000.012400
Trim. Skewness (10/120)-0.2965000.218600Trim. Kurtosis (10/120)-1.1703000.014200
Trim. Skewness (11/120)-0.3024000.211200Trim. Kurtosis (11/120)-1.1566000.016400
Trim. Skewness (12/120)-0.3078000.207600Trim. Kurtosis (12/120)-1.1421000.018800
Trim. Skewness (13/120)-0.3111000.207600Trim. Kurtosis (13/120)-1.1294000.021400
Trim. Skewness (14/120)-0.3165000.207600Trim. Kurtosis (14/120)-1.1145000.025000
Trim. Skewness (15/120)-0.3233000.200600Trim. Kurtosis (15/120)-1.0996000.028600
Trim. Skewness (16/120)-0.3334000.193600Trim. Kurtosis (16/120)-1.0776000.034000
Trim. Skewness (17/120)-0.3427000.186800Trim. Kurtosis (17/120)-1.0570000.039400
Trim. Skewness (18/120)-0.3492000.183600Trim. Kurtosis (18/120)-1.0373000.045600
Trim. Skewness (19/120)-0.3566000.177000Trim. Kurtosis (19/120)-1.0194000.052400
Trim. Skewness (20/120)-0.3635000.173800Trim. Kurtosis (20/120)-1.0076000.057400
Trim. Skewness (21/120)-0.3661000.177000Trim. Kurtosis (21/120)-1.0043000.061400
Trim. Skewness (22/120)-0.3620000.186800Trim. Kurtosis (22/120)-1.0085000.062800
Trim. Skewness (23/120)-0.3558000.200600Trim. Kurtosis (23/120)-1.0186000.064400
Trim. Skewness (24/120)-0.3428000.222400Trim. Kurtosis (24/120)-1.0423000.061400
Trim. Skewness (25/120)-0.3209000.262800Trim. Kurtosis (25/120)-1.0998000.051200
Trim. Skewness (26/120)-0.2823000.327000Trim. Kurtosis (26/120)-1.1592000.043400
Trim. Skewness (27/120)-0.2777000.342200Trim. Kurtosis (27/120)-1.1359000.050000
Trim. Skewness (28/120)-0.2702000.362800Trim. Kurtosis (28/120)-1.1152000.058800
Trim. Skewness (29/120)-0.2578000.395400Trim. Kurtosis (29/120)-1.1025000.065800
Trim. Skewness (30/120)-0.2377000.441200Trim. Kurtosis (30/120)-1.1034000.068800
Trim. Skewness (31/120)-0.2163000.490200Trim. Kurtosis (31/120)-1.1040000.073400
Trim. Skewness (32/120)-0.1872000.555200Trim. Kurtosis (32/120)-1.1142000.075000
Trim. Skewness (33/120)-0.1461000.645600Trim. Kurtosis (33/120)-1.1481000.071800
Trim. Skewness (34/120)-0.1036000.749000Trim. Kurtosis (34/120)-1.1881000.067200
Trim. Skewness (35/120)-0.0704000.833600Trim. Kurtosis (35/120)-1.2049000.067200
Trim. Skewness (36/120)-0.0409000.904400Trim. Kurtosis (36/120)-1.1940000.075000
Trim. Skewness (37/120)-0.0229000.944200Trim. Kurtosis (37/120)-1.1584000.091000
Trim. Skewness (38/120)-0.0028000.992000Trim. Kurtosis (38/120)-1.1227000.107400
Trim. Skewness (39/120)0.0174000.960200Trim. Kurtosis (39/120)-1.0862000.128600
Trim. Skewness (40/120)0.0551000.880800Trim. Kurtosis (40/120)-1.0592000.147000


Figures (Output of Computation)

Input Parameters & R Code

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