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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 17:41:39 +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/t1291052424tdzx1qpcyp8x4fn.htm/, Retrieved Mon, 29 Apr 2024 14:25:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102981, Retrieved Mon, 29 Apr 2024 14:25:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact121

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
260.13
275.38
280.45
271.07
272.14
271.86
270.46
266.63
252.17
255
259.31
254.53
250.34
251.92
251.81
247.51
256.01
253.38
259.16
256.23
261.79
257.04
260.76
268.31
264.1
270.7
271.82
268.05
263.97
264.9
269.87
268.08
261.98
258.3
258.98
252.97
254.88
248.66
243.34
249.22
241.48
233.64
225.75
228.63
218.76
213.11
214.37
221.6
225.33
224.23
224.15
227.25
229.17
227.7
228.71
226.94
229.54
229.34
230.19
235.7
232.5
227.89
228.36
237.71
245.61
238.66
243.51
238.05
235.59
242.23
240.07
252.66
264.48
256.38
254.65
261.8
264.83
268.85
265.69
263.36
268.45
274.79
276.66
288.76
289.65
296.43
294.81
295.41
293.25
287.04
287.08
293.53
299.73
304.82
308.27
304.33
299.01
298.14
292.34
290.83
296.95
292.58
294.13
289.46
294.34
300.65
303.72
303.67
300.61
299.02
290.37
291.88
293.16
284.38
281.12
289.05
284.84
280.58
290.02
290.7

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1267.681535FISHER 4th Cent. Mom.762278.901198
FISHER beta 10.006482FISHER beta 21.931521
FISHER gamma 1-0.080510FISHER gamma 2-1.068479
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.360051FISHER Test 2-2.389192
FISHER Test 1 Probability0.711400FISHER Test 2 Probability0.016800
Pearson 2-0.013469
Yule using Quartile definition:Weighted Average at Xnp0.105020
Yule using Quartile definition:Weighted Average at X(n+1)p0.110319
Yule using Quartile definition:Empirical Distribution Function0.105020
Yule using Quartile definition:Empirical Distribution Function - Averaging0.109938
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.109556
Yule using Quartile definition:Closest Observation0.105020
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.109556
Yule using Quartile definition:MS Excel (old versions)0.110698
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.081533Kurtosis (small sample)-1.062656
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.369129TEST 1 (small sample)-2.424326
TEST 1 Prob. (small sample)0.711400TEST 1 Prob. (small sample)0.015000
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-1267.681535 & FISHER 4th Cent. Mom.762278.901198 \tabularnewline FISHER beta 10.006482 & FISHER beta 21.931521 \tabularnewline FISHER gamma 1-0.080510 & FISHER gamma 2-1.068479 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-0.360051 & FISHER Test 2-2.389192 \tabularnewline FISHER Test 1 Probability0.711400 & FISHER Test 2 Probability0.016800 \tabularnewline Pearson 2-0.013469 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.105020 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.110319 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.105020 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.109938 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.109556 & & \tabularnewline Yule using Quartile definition:Closest Observation0.105020 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.109556 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.110698 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.081533 & Kurtosis (small sample)-1.062656 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-0.369129 & TEST 1 (small sample)-2.424326 \tabularnewline TEST 1 Prob. (small sample)0.711400 & TEST 1 Prob. (small sample)0.015000 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102981&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]-1267.681535[/C][C]FISHER 4th Cent. Mom.[/C]762278.901198[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.006482[/C][C]FISHER beta 2[/C]1.931521[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.080510[/C][C]FISHER gamma 2[/C]-1.068479[/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]-0.360051[/C][C]FISHER Test 2[/C]-2.389192[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.711400[/C][C]FISHER Test 2 Probability[/C]0.016800[/C][/ROW] [ROW][C]Pearson 2[/C]-0.013469[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.105020[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.110319[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.105020[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.109938[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.109556[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.105020[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.109556[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.110698[/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]-0.081533[/C][C]Kurtosis (small sample)[/C]-1.062656[/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]-0.369129[/C][C]TEST 1 (small sample)[/C]-2.424326[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.711400[/C][C]TEST 1 Prob. (small sample)[/C]0.015000[/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=102981&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102981&T=0

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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.-1267.681535FISHER 4th Cent. Mom.762278.901198
FISHER beta 10.006482FISHER beta 21.931521
FISHER gamma 1-0.080510FISHER gamma 2-1.068479
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.360051FISHER Test 2-2.389192
FISHER Test 1 Probability0.711400FISHER Test 2 Probability0.016800
Pearson 2-0.013469
Yule using Quartile definition:Weighted Average at Xnp0.105020
Yule using Quartile definition:Weighted Average at X(n+1)p0.110319
Yule using Quartile definition:Empirical Distribution Function0.105020
Yule using Quartile definition:Empirical Distribution Function - Averaging0.109938
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.109556
Yule using Quartile definition:Closest Observation0.105020
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.109556
Yule using Quartile definition:MS Excel (old versions)0.110698
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.081533Kurtosis (small sample)-1.062656
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.369129TEST 1 (small sample)-2.424326
TEST 1 Prob. (small sample)0.711400TEST 1 Prob. (small sample)0.015000
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.0815000.711400Trim. Kurtosis (0/120)-1.0627000.015000
Trim. Skewness (1/120)-0.0721000.741400Trim. Kurtosis (1/120)-1.0901000.013600
Trim. Skewness (2/120)-0.0558000.802600Trim. Kurtosis (2/120)-1.1123000.012400
Trim. Skewness (3/120)-0.0490000.825800Trim. Kurtosis (3/120)-1.1179000.012800
Trim. Skewness (4/120)-0.0475000.833600Trim. Kurtosis (4/120)-1.1155000.013600
Trim. Skewness (5/120)-0.0520000.818000Trim. Kurtosis (5/120)-1.1084000.015000
Trim. Skewness (6/120)-0.0495000.825800Trim. Kurtosis (6/120)-1.0956000.017400
Trim. Skewness (7/120)-0.0492000.833600Trim. Kurtosis (7/120)-1.0814000.019800
Trim. Skewness (8/120)-0.0475000.833600Trim. Kurtosis (8/120)-1.0660000.022600
Trim. Skewness (9/120)-0.0469000.841400Trim. Kurtosis (9/120)-1.0467000.027200
Trim. Skewness (10/120)-0.0467000.841400Trim. Kurtosis (10/120)-1.0284000.031600
Trim. Skewness (11/120)-0.0451000.849200Trim. Kurtosis (11/120)-1.0082000.036600
Trim. Skewness (12/120)-0.0399000.865000Trim. Kurtosis (12/120)-0.9864000.042400
Trim. Skewness (13/120)-0.0334000.888600Trim. Kurtosis (13/120)-0.9635000.050000
Trim. Skewness (14/120)-0.0230000.920400Trim. Kurtosis (14/120)-0.9395000.058800
Trim. Skewness (15/120)-0.0081000.968000Trim. Kurtosis (15/120)-0.9171000.067200
Trim. Skewness (16/120)0.0098000.968000Trim. Kurtosis (16/120)-0.8954000.076800
Trim. Skewness (17/120)0.0325000.896600Trim. Kurtosis (17/120)-0.8785000.087200
Trim. Skewness (18/120)0.0626000.810400Trim. Kurtosis (18/120)-0.8679000.093000
Trim. Skewness (19/120)0.0979000.711400Trim. Kurtosis (19/120)-0.8627000.099000
Trim. Skewness (20/120)0.1258000.638400Trim. Kurtosis (20/120)-0.8454000.111800
Trim. Skewness (21/120)0.1555000.562000Trim. Kurtosis (21/120)-0.8245000.123600
Trim. Skewness (22/120)0.1788000.515600Trim. Kurtosis (22/120)-0.7931000.144200
Trim. Skewness (23/120)0.2101000.447200Trim. Kurtosis (23/120)-0.7676000.161600
Trim. Skewness (24/120)0.2381000.395400Trim. Kurtosis (24/120)-0.7232000.193600
Trim. Skewness (25/120)0.2709000.342200Trim. Kurtosis (25/120)-0.6825000.226200
Trim. Skewness (26/120)0.3086000.284600Trim. Kurtosis (26/120)-0.6440000.258400
Trim. Skewness (27/120)0.3429000.242000Trim. Kurtosis (27/120)-0.5995000.303000
Trim. Skewness (28/120)0.3716000.211200Trim. Kurtosis (28/120)-0.5494000.347200
Trim. Skewness (29/120)0.3982000.186800Trim. Kurtosis (29/120)-0.5095000.389800
Trim. Skewness (30/120)0.4176000.173800Trim. Kurtosis (30/120)-0.4807000.429600
Trim. Skewness (31/120)0.4388000.161600Trim. Kurtosis (31/120)-0.5019000.412200
Trim. Skewness (32/120)0.4504000.155600Trim. Kurtosis (32/120)-0.4989000.423800
Trim. Skewness (33/120)0.4171000.197000Trim. Kurtosis (33/120)-0.5679000.373400
Trim. Skewness (34/120)0.3875000.238000Trim. Kurtosis (34/120)-0.6054000.347200
Trim. Skewness (35/120)0.3253000.332000Trim. Kurtosis (35/120)-0.7470000.258400
Trim. Skewness (36/120)0.2975000.384400Trim. Kurtosis (36/120)-0.7700000.250200
Trim. Skewness (37/120)0.2277000.509200Trim. Kurtosis (37/120)-0.8417000.218600
Trim. Skewness (38/120)0.0981000.779400Trim. Kurtosis (38/120)-1.0934000.118800
Trim. Skewness (39/120)0.0524000.880800Trim. Kurtosis (39/120)-1.1514000.107400
Trim. Skewness (40/120)0.0131000.968000Trim. Kurtosis (40/120)-1.1947000.101000

\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)-0.0815000.711400 & Trim. Kurtosis (0/120)-1.0627000.015000 \tabularnewline Trim. Skewness (1/120)-0.0721000.741400 & Trim. Kurtosis (1/120)-1.0901000.013600 \tabularnewline Trim. Skewness (2/120)-0.0558000.802600 & Trim. Kurtosis (2/120)-1.1123000.012400 \tabularnewline Trim. Skewness (3/120)-0.0490000.825800 & Trim. Kurtosis (3/120)-1.1179000.012800 \tabularnewline Trim. Skewness (4/120)-0.0475000.833600 & Trim. Kurtosis (4/120)-1.1155000.013600 \tabularnewline Trim. Skewness (5/120)-0.0520000.818000 & Trim. Kurtosis (5/120)-1.1084000.015000 \tabularnewline Trim. Skewness (6/120)-0.0495000.825800 & Trim. Kurtosis (6/120)-1.0956000.017400 \tabularnewline Trim. Skewness (7/120)-0.0492000.833600 & Trim. Kurtosis (7/120)-1.0814000.019800 \tabularnewline Trim. Skewness (8/120)-0.0475000.833600 & Trim. Kurtosis (8/120)-1.0660000.022600 \tabularnewline Trim. Skewness (9/120)-0.0469000.841400 & Trim. Kurtosis (9/120)-1.0467000.027200 \tabularnewline Trim. Skewness (10/120)-0.0467000.841400 & Trim. Kurtosis (10/120)-1.0284000.031600 \tabularnewline Trim. Skewness (11/120)-0.0451000.849200 & Trim. Kurtosis (11/120)-1.0082000.036600 \tabularnewline Trim. Skewness (12/120)-0.0399000.865000 & Trim. Kurtosis (12/120)-0.9864000.042400 \tabularnewline Trim. Skewness (13/120)-0.0334000.888600 & Trim. Kurtosis (13/120)-0.9635000.050000 \tabularnewline Trim. Skewness (14/120)-0.0230000.920400 & Trim. Kurtosis (14/120)-0.9395000.058800 \tabularnewline Trim. Skewness (15/120)-0.0081000.968000 & Trim. Kurtosis (15/120)-0.9171000.067200 \tabularnewline Trim. Skewness (16/120)0.0098000.968000 & Trim. Kurtosis (16/120)-0.8954000.076800 \tabularnewline Trim. Skewness (17/120)0.0325000.896600 & Trim. Kurtosis (17/120)-0.8785000.087200 \tabularnewline Trim. Skewness (18/120)0.0626000.810400 & Trim. Kurtosis (18/120)-0.8679000.093000 \tabularnewline Trim. Skewness (19/120)0.0979000.711400 & Trim. Kurtosis (19/120)-0.8627000.099000 \tabularnewline Trim. Skewness (20/120)0.1258000.638400 & Trim. Kurtosis (20/120)-0.8454000.111800 \tabularnewline Trim. Skewness (21/120)0.1555000.562000 & Trim. Kurtosis (21/120)-0.8245000.123600 \tabularnewline Trim. Skewness (22/120)0.1788000.515600 & Trim. Kurtosis (22/120)-0.7931000.144200 \tabularnewline Trim. Skewness (23/120)0.2101000.447200 & Trim. Kurtosis (23/120)-0.7676000.161600 \tabularnewline Trim. Skewness (24/120)0.2381000.395400 & Trim. Kurtosis (24/120)-0.7232000.193600 \tabularnewline Trim. Skewness (25/120)0.2709000.342200 & Trim. Kurtosis (25/120)-0.6825000.226200 \tabularnewline Trim. Skewness (26/120)0.3086000.284600 & Trim. Kurtosis (26/120)-0.6440000.258400 \tabularnewline Trim. Skewness (27/120)0.3429000.242000 & Trim. Kurtosis (27/120)-0.5995000.303000 \tabularnewline Trim. Skewness (28/120)0.3716000.211200 & Trim. Kurtosis (28/120)-0.5494000.347200 \tabularnewline Trim. Skewness (29/120)0.3982000.186800 & Trim. Kurtosis (29/120)-0.5095000.389800 \tabularnewline Trim. Skewness (30/120)0.4176000.173800 & Trim. Kurtosis (30/120)-0.4807000.429600 \tabularnewline Trim. Skewness (31/120)0.4388000.161600 & Trim. Kurtosis (31/120)-0.5019000.412200 \tabularnewline Trim. Skewness (32/120)0.4504000.155600 & Trim. Kurtosis (32/120)-0.4989000.423800 \tabularnewline Trim. Skewness (33/120)0.4171000.197000 & Trim. Kurtosis (33/120)-0.5679000.373400 \tabularnewline Trim. Skewness (34/120)0.3875000.238000 & Trim. Kurtosis (34/120)-0.6054000.347200 \tabularnewline Trim. Skewness (35/120)0.3253000.332000 & Trim. Kurtosis (35/120)-0.7470000.258400 \tabularnewline Trim. Skewness (36/120)0.2975000.384400 & Trim. Kurtosis (36/120)-0.7700000.250200 \tabularnewline Trim. Skewness (37/120)0.2277000.509200 & Trim. Kurtosis (37/120)-0.8417000.218600 \tabularnewline Trim. Skewness (38/120)0.0981000.779400 & Trim. Kurtosis (38/120)-1.0934000.118800 \tabularnewline Trim. Skewness (39/120)0.0524000.880800 & Trim. Kurtosis (39/120)-1.1514000.107400 \tabularnewline Trim. Skewness (40/120)0.0131000.968000 & Trim. Kurtosis (40/120)-1.1947000.101000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102981&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]-0.081500[/C]0.711400[/C][C]Trim. Kurtosis (0/120)[/C]-1.062700[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.072100[/C]0.741400[/C][C]Trim. Kurtosis (1/120)[/C]-1.090100[/C]0.013600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.055800[/C]0.802600[/C][C]Trim. Kurtosis (2/120)[/C]-1.112300[/C]0.012400[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.049000[/C]0.825800[/C][C]Trim. Kurtosis (3/120)[/C]-1.117900[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.047500[/C]0.833600[/C][C]Trim. Kurtosis (4/120)[/C]-1.115500[/C]0.013600[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.052000[/C]0.818000[/C][C]Trim. Kurtosis (5/120)[/C]-1.108400[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.049500[/C]0.825800[/C][C]Trim. Kurtosis (6/120)[/C]-1.095600[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.049200[/C]0.833600[/C][C]Trim. Kurtosis (7/120)[/C]-1.081400[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.047500[/C]0.833600[/C][C]Trim. Kurtosis (8/120)[/C]-1.066000[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.046900[/C]0.841400[/C][C]Trim. Kurtosis (9/120)[/C]-1.046700[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.046700[/C]0.841400[/C][C]Trim. Kurtosis (10/120)[/C]-1.028400[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.045100[/C]0.849200[/C][C]Trim. Kurtosis (11/120)[/C]-1.008200[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.039900[/C]0.865000[/C][C]Trim. Kurtosis (12/120)[/C]-0.986400[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.033400[/C]0.888600[/C][C]Trim. Kurtosis (13/120)[/C]-0.963500[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.023000[/C]0.920400[/C][C]Trim. Kurtosis (14/120)[/C]-0.939500[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.008100[/C]0.968000[/C][C]Trim. Kurtosis (15/120)[/C]-0.917100[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.009800[/C]0.968000[/C][C]Trim. Kurtosis (16/120)[/C]-0.895400[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.032500[/C]0.896600[/C][C]Trim. Kurtosis (17/120)[/C]-0.878500[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.062600[/C]0.810400[/C][C]Trim. Kurtosis (18/120)[/C]-0.867900[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.097900[/C]0.711400[/C][C]Trim. Kurtosis (19/120)[/C]-0.862700[/C]0.099000[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.125800[/C]0.638400[/C][C]Trim. Kurtosis (20/120)[/C]-0.845400[/C]0.111800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.155500[/C]0.562000[/C][C]Trim. Kurtosis (21/120)[/C]-0.824500[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.178800[/C]0.515600[/C][C]Trim. Kurtosis (22/120)[/C]-0.793100[/C]0.144200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.210100[/C]0.447200[/C][C]Trim. Kurtosis (23/120)[/C]-0.767600[/C]0.161600[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.238100[/C]0.395400[/C][C]Trim. Kurtosis (24/120)[/C]-0.723200[/C]0.193600[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.270900[/C]0.342200[/C][C]Trim. Kurtosis (25/120)[/C]-0.682500[/C]0.226200[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.308600[/C]0.284600[/C][C]Trim. Kurtosis (26/120)[/C]-0.644000[/C]0.258400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.342900[/C]0.242000[/C][C]Trim. Kurtosis (27/120)[/C]-0.599500[/C]0.303000[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.371600[/C]0.211200[/C][C]Trim. Kurtosis (28/120)[/C]-0.549400[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.398200[/C]0.186800[/C][C]Trim. Kurtosis (29/120)[/C]-0.509500[/C]0.389800[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.417600[/C]0.173800[/C][C]Trim. Kurtosis (30/120)[/C]-0.480700[/C]0.429600[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.438800[/C]0.161600[/C][C]Trim. Kurtosis (31/120)[/C]-0.501900[/C]0.412200[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.450400[/C]0.155600[/C][C]Trim. Kurtosis (32/120)[/C]-0.498900[/C]0.423800[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.417100[/C]0.197000[/C][C]Trim. Kurtosis (33/120)[/C]-0.567900[/C]0.373400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.387500[/C]0.238000[/C][C]Trim. Kurtosis (34/120)[/C]-0.605400[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.325300[/C]0.332000[/C][C]Trim. Kurtosis (35/120)[/C]-0.747000[/C]0.258400[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.297500[/C]0.384400[/C][C]Trim. Kurtosis (36/120)[/C]-0.770000[/C]0.250200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.227700[/C]0.509200[/C][C]Trim. Kurtosis (37/120)[/C]-0.841700[/C]0.218600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.098100[/C]0.779400[/C][C]Trim. Kurtosis (38/120)[/C]-1.093400[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.052400[/C]0.880800[/C][C]Trim. Kurtosis (39/120)[/C]-1.151400[/C]0.107400[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.013100[/C]0.968000[/C][C]Trim. Kurtosis (40/120)[/C]-1.194700[/C]0.101000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102981&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102981&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)-0.0815000.711400Trim. Kurtosis (0/120)-1.0627000.015000
Trim. Skewness (1/120)-0.0721000.741400Trim. Kurtosis (1/120)-1.0901000.013600
Trim. Skewness (2/120)-0.0558000.802600Trim. Kurtosis (2/120)-1.1123000.012400
Trim. Skewness (3/120)-0.0490000.825800Trim. Kurtosis (3/120)-1.1179000.012800
Trim. Skewness (4/120)-0.0475000.833600Trim. Kurtosis (4/120)-1.1155000.013600
Trim. Skewness (5/120)-0.0520000.818000Trim. Kurtosis (5/120)-1.1084000.015000
Trim. Skewness (6/120)-0.0495000.825800Trim. Kurtosis (6/120)-1.0956000.017400
Trim. Skewness (7/120)-0.0492000.833600Trim. Kurtosis (7/120)-1.0814000.019800
Trim. Skewness (8/120)-0.0475000.833600Trim. Kurtosis (8/120)-1.0660000.022600
Trim. Skewness (9/120)-0.0469000.841400Trim. Kurtosis (9/120)-1.0467000.027200
Trim. Skewness (10/120)-0.0467000.841400Trim. Kurtosis (10/120)-1.0284000.031600
Trim. Skewness (11/120)-0.0451000.849200Trim. Kurtosis (11/120)-1.0082000.036600
Trim. Skewness (12/120)-0.0399000.865000Trim. Kurtosis (12/120)-0.9864000.042400
Trim. Skewness (13/120)-0.0334000.888600Trim. Kurtosis (13/120)-0.9635000.050000
Trim. Skewness (14/120)-0.0230000.920400Trim. Kurtosis (14/120)-0.9395000.058800
Trim. Skewness (15/120)-0.0081000.968000Trim. Kurtosis (15/120)-0.9171000.067200
Trim. Skewness (16/120)0.0098000.968000Trim. Kurtosis (16/120)-0.8954000.076800
Trim. Skewness (17/120)0.0325000.896600Trim. Kurtosis (17/120)-0.8785000.087200
Trim. Skewness (18/120)0.0626000.810400Trim. Kurtosis (18/120)-0.8679000.093000
Trim. Skewness (19/120)0.0979000.711400Trim. Kurtosis (19/120)-0.8627000.099000
Trim. Skewness (20/120)0.1258000.638400Trim. Kurtosis (20/120)-0.8454000.111800
Trim. Skewness (21/120)0.1555000.562000Trim. Kurtosis (21/120)-0.8245000.123600
Trim. Skewness (22/120)0.1788000.515600Trim. Kurtosis (22/120)-0.7931000.144200
Trim. Skewness (23/120)0.2101000.447200Trim. Kurtosis (23/120)-0.7676000.161600
Trim. Skewness (24/120)0.2381000.395400Trim. Kurtosis (24/120)-0.7232000.193600
Trim. Skewness (25/120)0.2709000.342200Trim. Kurtosis (25/120)-0.6825000.226200
Trim. Skewness (26/120)0.3086000.284600Trim. Kurtosis (26/120)-0.6440000.258400
Trim. Skewness (27/120)0.3429000.242000Trim. Kurtosis (27/120)-0.5995000.303000
Trim. Skewness (28/120)0.3716000.211200Trim. Kurtosis (28/120)-0.5494000.347200
Trim. Skewness (29/120)0.3982000.186800Trim. Kurtosis (29/120)-0.5095000.389800
Trim. Skewness (30/120)0.4176000.173800Trim. Kurtosis (30/120)-0.4807000.429600
Trim. Skewness (31/120)0.4388000.161600Trim. Kurtosis (31/120)-0.5019000.412200
Trim. Skewness (32/120)0.4504000.155600Trim. Kurtosis (32/120)-0.4989000.423800
Trim. Skewness (33/120)0.4171000.197000Trim. Kurtosis (33/120)-0.5679000.373400
Trim. Skewness (34/120)0.3875000.238000Trim. Kurtosis (34/120)-0.6054000.347200
Trim. Skewness (35/120)0.3253000.332000Trim. Kurtosis (35/120)-0.7470000.258400
Trim. Skewness (36/120)0.2975000.384400Trim. Kurtosis (36/120)-0.7700000.250200
Trim. Skewness (37/120)0.2277000.509200Trim. Kurtosis (37/120)-0.8417000.218600
Trim. Skewness (38/120)0.0981000.779400Trim. Kurtosis (38/120)-1.0934000.118800
Trim. Skewness (39/120)0.0524000.880800Trim. Kurtosis (39/120)-1.1514000.107400
Trim. Skewness (40/120)0.0131000.968000Trim. Kurtosis (40/120)-1.1947000.101000


Figures (Output of Computation)

Input Parameters & R Code

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