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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 17:46:57 +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/t12910527298krv49pwp1e1x14.htm/, Retrieved Mon, 29 Apr 2024 16:24:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102987, Retrieved Mon, 29 Apr 2024 16:24:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact98

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5533.6
5756.1
5799.3
5761.7
5751.1
5697.2
5591.8
5534.3
5378.8
5382.4
5435.5
5381.4
5321
5304.2
5329.4
5306.9
5417.1
5348.9
5417.9
5272.9
5290
5167
5217.6
5225.5
5106.9
5123.1
5158.5
5144.7
5123.8
5106.7
5126.8
5077.6
4941.3
4955.5
4990.5
4851.2
4797.1
4723
4702.5
4770.8
4690.7
4438.3
4358
4463.7
4390.2
4311.6
4307.7
4512.5
4577
4645.8
4726.7
4816.4
4813.8
4783.3
4794.6
4787.2
4931.1
4923.7
4970.4
4966.7
4872.3
4745.8
4927.4
5014.9
5178.5
5043
5002.1
4974.2
4999.8
5070.6
5070.6
5099.3
5065.4
5164
5192.6
5065.2
5076.7
5063.7
5023.9
5113
5176
5109.1
5152.7
5225.9
5225.9
5318.3
5280.9
5319.3
5325.6
5391
5358.9
5346
5277.4
5360
5350.7
5435.1
5498.8
5509.3
5509.3
5409.3
5446.2
5431.3
5419.4
5350.6
5349.7
5349.7
5432.2
5384.7
5422.2
5398.9
5391.7
5388.7
5436.4
5483.9
5521.8
5400.1
5377.1
5302.3
5376.8
5421.6

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-2.07149e+7FISHER 4th Cent. Mom.3.24627e+10
FISHER beta 10.409951FISHER beta 23.148918
FISHER gamma 1-0.640274FISHER gamma 20.148918
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-2.863394FISHER Test 20.332991
FISHER Test 1 Probability0.004200FISHER Test 2 Probability0.733800
Pearson 2-0.441684
Yule using Quartile definition:Weighted Average at Xnp-0.132995
Yule using Quartile definition:Weighted Average at X(n+1)p-0.122853
Yule using Quartile definition:Empirical Distribution Function-0.132995
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.123552
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.124257
Yule using Quartile definition:Closest Observation-0.132995
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.124257
Yule using Quartile definition:MS Excel (old versions)-0.122161
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.648408Kurtosis (small sample)0.207031
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-2.935585TEST 1 (small sample)0.472317
TEST 1 Prob. (small sample)0.003200TEST 1 Prob. (small sample)0.631200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-2.07149e+7 & FISHER 4th Cent. Mom.3.24627e+10 \tabularnewline FISHER beta 10.409951 & FISHER beta 23.148918 \tabularnewline FISHER gamma 1-0.640274 & FISHER gamma 20.148918 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-2.863394 & FISHER Test 20.332991 \tabularnewline FISHER Test 1 Probability0.004200 & FISHER Test 2 Probability0.733800 \tabularnewline Pearson 2-0.441684 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.132995 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.122853 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.132995 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.123552 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.124257 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.132995 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.124257 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.122161 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.648408 & Kurtosis (small sample)0.207031 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-2.935585 & TEST 1 (small sample)0.472317 \tabularnewline TEST 1 Prob. (small sample)0.003200 & TEST 1 Prob. (small sample)0.631200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102987&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]-2.07149e+7[/C][C]FISHER 4th Cent. Mom.[/C]3.24627e+10[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.409951[/C][C]FISHER beta 2[/C]3.148918[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.640274[/C][C]FISHER gamma 2[/C]0.148918[/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]-2.863394[/C][C]FISHER Test 2[/C]0.332991[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.004200[/C][C]FISHER Test 2 Probability[/C]0.733800[/C][/ROW] [ROW][C]Pearson 2[/C]-0.441684[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.132995[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.122853[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.132995[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.123552[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.124257[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.132995[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.124257[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.122161[/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]-0.648408[/C][C]Kurtosis (small sample)[/C]0.207031[/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]-2.935585[/C][C]TEST 1 (small sample)[/C]0.472317[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.003200[/C][C]TEST 1 Prob. (small sample)[/C]0.631200[/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=102987&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102987&T=0

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

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-2.07149e+7FISHER 4th Cent. Mom.3.24627e+10
FISHER beta 10.409951FISHER beta 23.148918
FISHER gamma 1-0.640274FISHER gamma 20.148918
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-2.863394FISHER Test 20.332991
FISHER Test 1 Probability0.004200FISHER Test 2 Probability0.733800
Pearson 2-0.441684
Yule using Quartile definition:Weighted Average at Xnp-0.132995
Yule using Quartile definition:Weighted Average at X(n+1)p-0.122853
Yule using Quartile definition:Empirical Distribution Function-0.132995
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.123552
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.124257
Yule using Quartile definition:Closest Observation-0.132995
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.124257
Yule using Quartile definition:MS Excel (old versions)-0.122161
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.648408Kurtosis (small sample)0.207031
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-2.935585TEST 1 (small sample)0.472317
TEST 1 Prob. (small sample)0.003200TEST 1 Prob. (small sample)0.631200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.6484000.003200Trim. Kurtosis (0/120)0.2070000.631200
Trim. Skewness (1/120)-0.6571000.003000Trim. Kurtosis (1/120)0.1686000.696600
Trim. Skewness (2/120)-0.6467000.004000Trim. Kurtosis (2/120)0.0737000.865000
Trim. Skewness (3/120)-0.6466000.004200Trim. Kurtosis (3/120)-0.0360000.928200
Trim. Skewness (4/120)-0.6535000.004200Trim. Kurtosis (4/120)-0.1945000.667200
Trim. Skewness (5/120)-0.6528000.004600Trim. Kurtosis (5/120)-0.3477000.441200
Trim. Skewness (6/120)-0.6106000.008600Trim. Kurtosis (6/120)-0.5208000.258400
Trim. Skewness (7/120)-0.5599000.016800Trim. Kurtosis (7/120)-0.6786000.144200
Trim. Skewness (8/120)-0.5277000.025800Trim. Kurtosis (8/120)-0.7835000.095000
Trim. Skewness (9/120)-0.5151000.030800Trim. Kurtosis (9/120)-0.8248000.080200
Trim. Skewness (10/120)-0.5120000.033200Trim. Kurtosis (10/120)-0.8351000.080200
Trim. Skewness (11/120)-0.5099000.035800Trim. Kurtosis (11/120)-0.8509000.076800
Trim. Skewness (12/120)-0.5091000.038400Trim. Kurtosis (12/120)-0.8608000.076800
Trim. Skewness (13/120)-0.5010000.043400Trim. Kurtosis (13/120)-0.8840000.071800
Trim. Skewness (14/120)-0.4855000.052400Trim. Kurtosis (14/120)-0.9011000.068800
Trim. Skewness (15/120)-0.4730000.061400Trim. Kurtosis (15/120)-0.9045000.071800
Trim. Skewness (16/120)-0.4602000.071800Trim. Kurtosis (16/120)-0.9076000.073400
Trim. Skewness (17/120)-0.4425000.087200Trim. Kurtosis (17/120)-0.9232000.071800
Trim. Skewness (18/120)-0.4200000.109600Trim. Kurtosis (18/120)-0.9507000.067200
Trim. Skewness (19/120)-0.3882000.141600Trim. Kurtosis (19/120)-1.0055000.054800
Trim. Skewness (20/120)-0.3527000.186800Trim. Kurtosis (20/120)-1.0653000.044400
Trim. Skewness (21/120)-0.3035000.262800Trim. Kurtosis (21/120)-1.1679000.029200
Trim. Skewness (22/120)-0.2665000.332000Trim. Kurtosis (22/120)-1.2385000.022600
Trim. Skewness (23/120)-0.2330000.400800Trim. Kurtosis (23/120)-1.3033000.017800
Trim. Skewness (24/120)-0.2267000.418000Trim. Kurtosis (24/120)-1.3082000.018800
Trim. Skewness (25/120)-0.2156000.447200Trim. Kurtosis (25/120)-1.3182000.019800
Trim. Skewness (26/120)-0.1978000.490200Trim. Kurtosis (26/120)-1.3354000.019800
Trim. Skewness (27/120)-0.1802000.535200Trim. Kurtosis (27/120)-1.3534000.019800
Trim. Skewness (28/120)-0.1638000.582400Trim. Kurtosis (28/120)-1.3633000.020800
Trim. Skewness (29/120)-0.1495000.617000Trim. Kurtosis (29/120)-1.3699000.022000
Trim. Skewness (30/120)-0.1308000.667200Trim. Kurtosis (30/120)-1.3848000.022600
Trim. Skewness (31/120)-0.1055000.733800Trim. Kurtosis (31/120)-1.4113000.022000
Trim. Skewness (32/120)-0.0858000.787200Trim. Kurtosis (32/120)-1.4265000.022600
Trim. Skewness (33/120)-0.0670000.833600Trim. Kurtosis (33/120)-1.4428000.023800
Trim. Skewness (34/120)-0.0406000.896600Trim. Kurtosis (34/120)-1.4759000.022600
Trim. Skewness (35/120)-0.0182000.952200Trim. Kurtosis (35/120)-1.5069000.022600
Trim. Skewness (36/120)0.0021000.992000Trim. Kurtosis (36/120)-1.5468000.021400
Trim. Skewness (37/120)0.0204000.952200Trim. Kurtosis (37/120)-1.5541000.023200
Trim. Skewness (38/120)0.0234000.944200Trim. Kurtosis (38/120)-1.5411000.027800
Trim. Skewness (39/120)0.0330000.920400Trim. Kurtosis (39/120)-1.5236000.033200
Trim. Skewness (40/120)0.0460000.896600Trim. Kurtosis (40/120)-1.5112000.038400

\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)-0.6484000.003200 & Trim. Kurtosis (0/120)0.2070000.631200 \tabularnewline Trim. Skewness (1/120)-0.6571000.003000 & Trim. Kurtosis (1/120)0.1686000.696600 \tabularnewline Trim. Skewness (2/120)-0.6467000.004000 & Trim. Kurtosis (2/120)0.0737000.865000 \tabularnewline Trim. Skewness (3/120)-0.6466000.004200 & Trim. Kurtosis (3/120)-0.0360000.928200 \tabularnewline Trim. Skewness (4/120)-0.6535000.004200 & Trim. Kurtosis (4/120)-0.1945000.667200 \tabularnewline Trim. Skewness (5/120)-0.6528000.004600 & Trim. Kurtosis (5/120)-0.3477000.441200 \tabularnewline Trim. Skewness (6/120)-0.6106000.008600 & Trim. Kurtosis (6/120)-0.5208000.258400 \tabularnewline Trim. Skewness (7/120)-0.5599000.016800 & Trim. Kurtosis (7/120)-0.6786000.144200 \tabularnewline Trim. Skewness (8/120)-0.5277000.025800 & Trim. Kurtosis (8/120)-0.7835000.095000 \tabularnewline Trim. Skewness (9/120)-0.5151000.030800 & Trim. Kurtosis (9/120)-0.8248000.080200 \tabularnewline Trim. Skewness (10/120)-0.5120000.033200 & Trim. Kurtosis (10/120)-0.8351000.080200 \tabularnewline Trim. Skewness (11/120)-0.5099000.035800 & Trim. Kurtosis (11/120)-0.8509000.076800 \tabularnewline Trim. Skewness (12/120)-0.5091000.038400 & Trim. Kurtosis (12/120)-0.8608000.076800 \tabularnewline Trim. Skewness (13/120)-0.5010000.043400 & Trim. Kurtosis (13/120)-0.8840000.071800 \tabularnewline Trim. Skewness (14/120)-0.4855000.052400 & Trim. Kurtosis (14/120)-0.9011000.068800 \tabularnewline Trim. Skewness (15/120)-0.4730000.061400 & Trim. Kurtosis (15/120)-0.9045000.071800 \tabularnewline Trim. Skewness (16/120)-0.4602000.071800 & Trim. Kurtosis (16/120)-0.9076000.073400 \tabularnewline Trim. Skewness (17/120)-0.4425000.087200 & Trim. Kurtosis (17/120)-0.9232000.071800 \tabularnewline Trim. Skewness (18/120)-0.4200000.109600 & Trim. Kurtosis (18/120)-0.9507000.067200 \tabularnewline Trim. Skewness (19/120)-0.3882000.141600 & Trim. Kurtosis (19/120)-1.0055000.054800 \tabularnewline Trim. Skewness (20/120)-0.3527000.186800 & Trim. Kurtosis (20/120)-1.0653000.044400 \tabularnewline Trim. Skewness (21/120)-0.3035000.262800 & Trim. Kurtosis (21/120)-1.1679000.029200 \tabularnewline Trim. Skewness (22/120)-0.2665000.332000 & Trim. Kurtosis (22/120)-1.2385000.022600 \tabularnewline Trim. Skewness (23/120)-0.2330000.400800 & Trim. Kurtosis (23/120)-1.3033000.017800 \tabularnewline Trim. Skewness (24/120)-0.2267000.418000 & Trim. Kurtosis (24/120)-1.3082000.018800 \tabularnewline Trim. Skewness (25/120)-0.2156000.447200 & Trim. Kurtosis (25/120)-1.3182000.019800 \tabularnewline Trim. Skewness (26/120)-0.1978000.490200 & Trim. Kurtosis (26/120)-1.3354000.019800 \tabularnewline Trim. Skewness (27/120)-0.1802000.535200 & Trim. Kurtosis (27/120)-1.3534000.019800 \tabularnewline Trim. Skewness (28/120)-0.1638000.582400 & Trim. Kurtosis (28/120)-1.3633000.020800 \tabularnewline Trim. Skewness (29/120)-0.1495000.617000 & Trim. Kurtosis (29/120)-1.3699000.022000 \tabularnewline Trim. Skewness (30/120)-0.1308000.667200 & Trim. Kurtosis (30/120)-1.3848000.022600 \tabularnewline Trim. Skewness (31/120)-0.1055000.733800 & Trim. Kurtosis (31/120)-1.4113000.022000 \tabularnewline Trim. Skewness (32/120)-0.0858000.787200 & Trim. Kurtosis (32/120)-1.4265000.022600 \tabularnewline Trim. Skewness (33/120)-0.0670000.833600 & Trim. Kurtosis (33/120)-1.4428000.023800 \tabularnewline Trim. Skewness (34/120)-0.0406000.896600 & Trim. Kurtosis (34/120)-1.4759000.022600 \tabularnewline Trim. Skewness (35/120)-0.0182000.952200 & Trim. Kurtosis (35/120)-1.5069000.022600 \tabularnewline Trim. Skewness (36/120)0.0021000.992000 & Trim. Kurtosis (36/120)-1.5468000.021400 \tabularnewline Trim. Skewness (37/120)0.0204000.952200 & Trim. Kurtosis (37/120)-1.5541000.023200 \tabularnewline Trim. Skewness (38/120)0.0234000.944200 & Trim. Kurtosis (38/120)-1.5411000.027800 \tabularnewline Trim. Skewness (39/120)0.0330000.920400 & Trim. Kurtosis (39/120)-1.5236000.033200 \tabularnewline Trim. Skewness (40/120)0.0460000.896600 & Trim. Kurtosis (40/120)-1.5112000.038400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102987&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]-0.648400[/C]0.003200[/C][C]Trim. Kurtosis (0/120)[/C]0.207000[/C]0.631200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.657100[/C]0.003000[/C][C]Trim. Kurtosis (1/120)[/C]0.168600[/C]0.696600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.646700[/C]0.004000[/C][C]Trim. Kurtosis (2/120)[/C]0.073700[/C]0.865000[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.646600[/C]0.004200[/C][C]Trim. Kurtosis (3/120)[/C]-0.036000[/C]0.928200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.653500[/C]0.004200[/C][C]Trim. Kurtosis (4/120)[/C]-0.194500[/C]0.667200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.652800[/C]0.004600[/C][C]Trim. Kurtosis (5/120)[/C]-0.347700[/C]0.441200[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.610600[/C]0.008600[/C][C]Trim. Kurtosis (6/120)[/C]-0.520800[/C]0.258400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.559900[/C]0.016800[/C][C]Trim. Kurtosis (7/120)[/C]-0.678600[/C]0.144200[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.527700[/C]0.025800[/C][C]Trim. Kurtosis (8/120)[/C]-0.783500[/C]0.095000[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.515100[/C]0.030800[/C][C]Trim. Kurtosis (9/120)[/C]-0.824800[/C]0.080200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.512000[/C]0.033200[/C][C]Trim. Kurtosis (10/120)[/C]-0.835100[/C]0.080200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.509900[/C]0.035800[/C][C]Trim. Kurtosis (11/120)[/C]-0.850900[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.509100[/C]0.038400[/C][C]Trim. Kurtosis (12/120)[/C]-0.860800[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.501000[/C]0.043400[/C][C]Trim. Kurtosis (13/120)[/C]-0.884000[/C]0.071800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.485500[/C]0.052400[/C][C]Trim. Kurtosis (14/120)[/C]-0.901100[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.473000[/C]0.061400[/C][C]Trim. Kurtosis (15/120)[/C]-0.904500[/C]0.071800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.460200[/C]0.071800[/C][C]Trim. Kurtosis (16/120)[/C]-0.907600[/C]0.073400[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.442500[/C]0.087200[/C][C]Trim. Kurtosis (17/120)[/C]-0.923200[/C]0.071800[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.420000[/C]0.109600[/C][C]Trim. Kurtosis (18/120)[/C]-0.950700[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.388200[/C]0.141600[/C][C]Trim. Kurtosis (19/120)[/C]-1.005500[/C]0.054800[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.352700[/C]0.186800[/C][C]Trim. Kurtosis (20/120)[/C]-1.065300[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.303500[/C]0.262800[/C][C]Trim. Kurtosis (21/120)[/C]-1.167900[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.266500[/C]0.332000[/C][C]Trim. Kurtosis (22/120)[/C]-1.238500[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.233000[/C]0.400800[/C][C]Trim. Kurtosis (23/120)[/C]-1.303300[/C]0.017800[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.226700[/C]0.418000[/C][C]Trim. Kurtosis (24/120)[/C]-1.308200[/C]0.018800[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.215600[/C]0.447200[/C][C]Trim. Kurtosis (25/120)[/C]-1.318200[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.197800[/C]0.490200[/C][C]Trim. Kurtosis (26/120)[/C]-1.335400[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.180200[/C]0.535200[/C][C]Trim. Kurtosis (27/120)[/C]-1.353400[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.163800[/C]0.582400[/C][C]Trim. Kurtosis (28/120)[/C]-1.363300[/C]0.020800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.149500[/C]0.617000[/C][C]Trim. Kurtosis (29/120)[/C]-1.369900[/C]0.022000[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.130800[/C]0.667200[/C][C]Trim. Kurtosis (30/120)[/C]-1.384800[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.105500[/C]0.733800[/C][C]Trim. Kurtosis (31/120)[/C]-1.411300[/C]0.022000[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.085800[/C]0.787200[/C][C]Trim. Kurtosis (32/120)[/C]-1.426500[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.067000[/C]0.833600[/C][C]Trim. Kurtosis (33/120)[/C]-1.442800[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.040600[/C]0.896600[/C][C]Trim. Kurtosis (34/120)[/C]-1.475900[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.018200[/C]0.952200[/C][C]Trim. Kurtosis (35/120)[/C]-1.506900[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.002100[/C]0.992000[/C][C]Trim. Kurtosis (36/120)[/C]-1.546800[/C]0.021400[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.020400[/C]0.952200[/C][C]Trim. Kurtosis (37/120)[/C]-1.554100[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.023400[/C]0.944200[/C][C]Trim. Kurtosis (38/120)[/C]-1.541100[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.033000[/C]0.920400[/C][C]Trim. Kurtosis (39/120)[/C]-1.523600[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.046000[/C]0.896600[/C][C]Trim. Kurtosis (40/120)[/C]-1.511200[/C]0.038400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102987&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102987&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)-0.6484000.003200Trim. Kurtosis (0/120)0.2070000.631200
Trim. Skewness (1/120)-0.6571000.003000Trim. Kurtosis (1/120)0.1686000.696600
Trim. Skewness (2/120)-0.6467000.004000Trim. Kurtosis (2/120)0.0737000.865000
Trim. Skewness (3/120)-0.6466000.004200Trim. Kurtosis (3/120)-0.0360000.928200
Trim. Skewness (4/120)-0.6535000.004200Trim. Kurtosis (4/120)-0.1945000.667200
Trim. Skewness (5/120)-0.6528000.004600Trim. Kurtosis (5/120)-0.3477000.441200
Trim. Skewness (6/120)-0.6106000.008600Trim. Kurtosis (6/120)-0.5208000.258400
Trim. Skewness (7/120)-0.5599000.016800Trim. Kurtosis (7/120)-0.6786000.144200
Trim. Skewness (8/120)-0.5277000.025800Trim. Kurtosis (8/120)-0.7835000.095000
Trim. Skewness (9/120)-0.5151000.030800Trim. Kurtosis (9/120)-0.8248000.080200
Trim. Skewness (10/120)-0.5120000.033200Trim. Kurtosis (10/120)-0.8351000.080200
Trim. Skewness (11/120)-0.5099000.035800Trim. Kurtosis (11/120)-0.8509000.076800
Trim. Skewness (12/120)-0.5091000.038400Trim. Kurtosis (12/120)-0.8608000.076800
Trim. Skewness (13/120)-0.5010000.043400Trim. Kurtosis (13/120)-0.8840000.071800
Trim. Skewness (14/120)-0.4855000.052400Trim. Kurtosis (14/120)-0.9011000.068800
Trim. Skewness (15/120)-0.4730000.061400Trim. Kurtosis (15/120)-0.9045000.071800
Trim. Skewness (16/120)-0.4602000.071800Trim. Kurtosis (16/120)-0.9076000.073400
Trim. Skewness (17/120)-0.4425000.087200Trim. Kurtosis (17/120)-0.9232000.071800
Trim. Skewness (18/120)-0.4200000.109600Trim. Kurtosis (18/120)-0.9507000.067200
Trim. Skewness (19/120)-0.3882000.141600Trim. Kurtosis (19/120)-1.0055000.054800
Trim. Skewness (20/120)-0.3527000.186800Trim. Kurtosis (20/120)-1.0653000.044400
Trim. Skewness (21/120)-0.3035000.262800Trim. Kurtosis (21/120)-1.1679000.029200
Trim. Skewness (22/120)-0.2665000.332000Trim. Kurtosis (22/120)-1.2385000.022600
Trim. Skewness (23/120)-0.2330000.400800Trim. Kurtosis (23/120)-1.3033000.017800
Trim. Skewness (24/120)-0.2267000.418000Trim. Kurtosis (24/120)-1.3082000.018800
Trim. Skewness (25/120)-0.2156000.447200Trim. Kurtosis (25/120)-1.3182000.019800
Trim. Skewness (26/120)-0.1978000.490200Trim. Kurtosis (26/120)-1.3354000.019800
Trim. Skewness (27/120)-0.1802000.535200Trim. Kurtosis (27/120)-1.3534000.019800
Trim. Skewness (28/120)-0.1638000.582400Trim. Kurtosis (28/120)-1.3633000.020800
Trim. Skewness (29/120)-0.1495000.617000Trim. Kurtosis (29/120)-1.3699000.022000
Trim. Skewness (30/120)-0.1308000.667200Trim. Kurtosis (30/120)-1.3848000.022600
Trim. Skewness (31/120)-0.1055000.733800Trim. Kurtosis (31/120)-1.4113000.022000
Trim. Skewness (32/120)-0.0858000.787200Trim. Kurtosis (32/120)-1.4265000.022600
Trim. Skewness (33/120)-0.0670000.833600Trim. Kurtosis (33/120)-1.4428000.023800
Trim. Skewness (34/120)-0.0406000.896600Trim. Kurtosis (34/120)-1.4759000.022600
Trim. Skewness (35/120)-0.0182000.952200Trim. Kurtosis (35/120)-1.5069000.022600
Trim. Skewness (36/120)0.0021000.992000Trim. Kurtosis (36/120)-1.5468000.021400
Trim. Skewness (37/120)0.0204000.952200Trim. Kurtosis (37/120)-1.5541000.023200
Trim. Skewness (38/120)0.0234000.944200Trim. Kurtosis (38/120)-1.5411000.027800
Trim. Skewness (39/120)0.0330000.920400Trim. Kurtosis (39/120)-1.5236000.033200
Trim. Skewness (40/120)0.0460000.896600Trim. Kurtosis (40/120)-1.5112000.038400


Figures (Output of Computation)

Input Parameters & R Code

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