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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 17:45:30 +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/t1291052620i09w4pmqgb65mkk.htm/, Retrieved Mon, 29 Apr 2024 13:39:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102985, Retrieved Mon, 29 Apr 2024 13:39:24 +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] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D          [Skewness and Kurtosis] [] [2010-11-29 17:44:08] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D              [Skewness and Kurtosis] [] [2010-11-29 17:45:30] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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 
285.18
292.13
301.41
285.28
286.99
285.29
277.12
275.89
265.98
271.83
280.21
272.65
269.25
271.28
267.96
271.32
278.27
277.87
282.67
275.13
274.22
264.15
269.42
273.41
270.26
279.03
287.56
283.96
284.46
277.21
282.25
277.03
270.27
266.38
267.65
254.1
251.84
251.79
254.12
264.03
259.06
249.2
239.48
254.39
243.98
244.2
249.52
258.83
254.26
252.24
253.8
257.1
257.78
252.74
263.37
265.91
275.9
270.95
276.6
282.04
275.32
265.08
269.49
271
284.56
276.33
275.15
267.38
262.53
273.2
275.61
281.46
289.66
277.88
281.07
282.98
281.14
288.88
287.05
286.3
295
298.24
313.47
312.69
315.25
322.8
333.04
326.05
329.57
322.15
321.53
323.08
331.06
335.59
340.47
332.98
334.46
332.24
334.71
336.14
343.11
356.48
343.71
348.44
352.8
343.97
348.72
356.13
362.22
357.86
347.07
351.72
337.14
340.59
341.71
320.72
319.6
328.97
325.88
330.45

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.20063.944157FISHER 4th Cent. Mom.2.28671e+6
FISHER beta 10.343507FISHER beta 22.057211
FISHER gamma 10.586094FISHER gamma 2-0.942789
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.621094FISHER Test 2-2.108140
FISHER Test 1 Probability0.008600FISHER Test 2 Probability0.034800
Pearson 21.000945
Yule using Quartile definition:Weighted Average at Xnp0.557236
Yule using Quartile definition:Weighted Average at X(n+1)p0.560199
Yule using Quartile definition:Empirical Distribution Function0.557236
Yule using Quartile definition:Empirical Distribution Function - Averaging0.560862
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.561527
Yule using Quartile definition:Closest Observation0.557236
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.561527
Yule using Quartile definition:MS Excel (old versions)0.559539
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.593540Kurtosis (small sample)-0.931567
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)2.687177TEST 1 (small sample)-2.125262
TEST 1 Prob. (small sample)0.007200TEST 1 Prob. (small sample)0.033200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.20063.944157 & FISHER 4th Cent. Mom.2.28671e+6 \tabularnewline FISHER beta 10.343507 & FISHER beta 22.057211 \tabularnewline FISHER gamma 10.586094 & FISHER gamma 2-0.942789 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 12.621094 & FISHER Test 2-2.108140 \tabularnewline FISHER Test 1 Probability0.008600 & FISHER Test 2 Probability0.034800 \tabularnewline Pearson 21.000945 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.557236 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.560199 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.557236 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.560862 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.561527 & & \tabularnewline Yule using Quartile definition:Closest Observation0.557236 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.561527 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.559539 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.593540 & Kurtosis (small sample)-0.931567 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)2.687177 & TEST 1 (small sample)-2.125262 \tabularnewline TEST 1 Prob. (small sample)0.007200 & TEST 1 Prob. (small sample)0.033200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102985&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]20063.944157[/C][C]FISHER 4th Cent. Mom.[/C]2.28671e+6[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.343507[/C][C]FISHER beta 2[/C]2.057211[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.586094[/C][C]FISHER gamma 2[/C]-0.942789[/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]2.621094[/C][C]FISHER Test 2[/C]-2.108140[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.008600[/C][C]FISHER Test 2 Probability[/C]0.034800[/C][/ROW] [ROW][C]Pearson 2[/C]1.000945[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.557236[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.560199[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.557236[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.560862[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.561527[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.557236[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.561527[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.559539[/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]0.593540[/C][C]Kurtosis (small sample)[/C]-0.931567[/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]2.687177[/C][C]TEST 1 (small sample)[/C]-2.125262[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.007200[/C][C]TEST 1 Prob. (small sample)[/C]0.033200[/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=102985&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102985&T=0

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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.20063.944157FISHER 4th Cent. Mom.2.28671e+6
FISHER beta 10.343507FISHER beta 22.057211
FISHER gamma 10.586094FISHER gamma 2-0.942789
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.621094FISHER Test 2-2.108140
FISHER Test 1 Probability0.008600FISHER Test 2 Probability0.034800
Pearson 21.000945
Yule using Quartile definition:Weighted Average at Xnp0.557236
Yule using Quartile definition:Weighted Average at X(n+1)p0.560199
Yule using Quartile definition:Empirical Distribution Function0.557236
Yule using Quartile definition:Empirical Distribution Function - Averaging0.560862
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.561527
Yule using Quartile definition:Closest Observation0.557236
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.561527
Yule using Quartile definition:MS Excel (old versions)0.559539
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.593540Kurtosis (small sample)-0.931567
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)2.687177TEST 1 (small sample)-2.125262
TEST 1 Prob. (small sample)0.007200TEST 1 Prob. (small sample)0.033200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.5935000.007200Trim. Kurtosis (0/120)-0.9316000.033200
Trim. Skewness (1/120)0.6070000.006400Trim. Kurtosis (1/120)-0.9518000.030800
Trim. Skewness (2/120)0.6198000.005600Trim. Kurtosis (2/120)-0.9529000.032400
Trim. Skewness (3/120)0.6349000.005000Trim. Kurtosis (3/120)-0.9554000.033200
Trim. Skewness (4/120)0.6411000.005000Trim. Kurtosis (4/120)-0.9604000.034000
Trim. Skewness (5/120)0.6523000.004600Trim. Kurtosis (5/120)-0.9548000.036600
Trim. Skewness (6/120)0.6611000.004400Trim. Kurtosis (6/120)-0.9487000.039400
Trim. Skewness (7/120)0.6749000.004000Trim. Kurtosis (7/120)-0.9325000.044400
Trim. Skewness (8/120)0.6884000.003600Trim. Kurtosis (8/120)-0.9197000.050000
Trim. Skewness (9/120)0.7036000.003200Trim. Kurtosis (9/120)-0.9048000.056200
Trim. Skewness (10/120)0.7230000.002600Trim. Kurtosis (10/120)-0.8767000.065800
Trim. Skewness (11/120)0.7430000.002200Trim. Kurtosis (11/120)-0.8501000.076800
Trim. Skewness (12/120)0.7650000.001800Trim. Kurtosis (12/120)-0.8239000.091000
Trim. Skewness (13/120)0.7910000.001400Trim. Kurtosis (13/120)-0.7934000.105200
Trim. Skewness (14/120)0.8209000.001000Trim. Kurtosis (14/120)-0.7597000.126000
Trim. Skewness (15/120)0.8452000.000800Trim. Kurtosis (15/120)-0.7280000.147000
Trim. Skewness (16/120)0.8768000.000600Trim. Kurtosis (16/120)-0.6757000.183600
Trim. Skewness (17/120)0.9099000.000400Trim. Kurtosis (17/120)-0.6161000.230200
Trim. Skewness (18/120)0.9462000.000400Trim. Kurtosis (18/120)-0.5514000.284600
Trim. Skewness (19/120)0.9768000.000200Trim. Kurtosis (19/120)-0.4795000.357600
Trim. Skewness (20/120)1.0069000.000200Trim. Kurtosis (20/120)-0.4048000.441200
Trim. Skewness (21/120)1.0403000.000200Trim. Kurtosis (21/120)-0.3163000.555200
Trim. Skewness (22/120)1.0746000.000000Trim. Kurtosis (22/120)-0.2251000.674400
Trim. Skewness (23/120)1.1091000.000000Trim. Kurtosis (23/120)-0.1263000.818000
Trim. Skewness (24/120)1.1456000.000000Trim. Kurtosis (24/120)-0.0134000.976000
Trim. Skewness (25/120)1.1845000.000000Trim. Kurtosis (25/120)0.1088000.841400
Trim. Skewness (26/120)1.2255000.000000Trim. Kurtosis (26/120)0.2432000.667200
Trim. Skewness (27/120)1.2639000.000000Trim. Kurtosis (27/120)0.3800000.509200
Trim. Skewness (28/120)1.3159000.000000Trim. Kurtosis (28/120)0.5772000.327000
Trim. Skewness (29/120)1.3673000.000000Trim. Kurtosis (29/120)0.7847000.190200
Trim. Skewness (30/120)1.4296000.000000Trim. Kurtosis (30/120)1.0686000.078400
Trim. Skewness (31/120)1.4936000.000000Trim. Kurtosis (31/120)1.3901000.024400
Trim. Skewness (32/120)1.5597000.000000Trim. Kurtosis (32/120)1.7598000.005000
Trim. Skewness (33/120)1.6156000.000000Trim. Kurtosis (33/120)2.1536000.000800
Trim. Skewness (34/120)1.6535000.000000Trim. Kurtosis (34/120)2.5349000.000000
Trim. Skewness (35/120)1.6353000.000000Trim. Kurtosis (35/120)2.7449000.000000
Trim. Skewness (36/120)1.6309000.000000Trim. Kurtosis (36/120)3.1689000.000000
Trim. Skewness (37/120)1.5231000.000000Trim. Kurtosis (37/120)3.3006000.000000
Trim. Skewness (38/120)0.9361000.008800Trim. Kurtosis (38/120)0.7439000.284600
Trim. Skewness (39/120)0.7448000.041400Trim. Kurtosis (39/120)0.2084000.764200
Trim. Skewness (40/120)0.5267000.158600Trim. Kurtosis (40/120)-0.4134000.568600

\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)0.5935000.007200 & Trim. Kurtosis (0/120)-0.9316000.033200 \tabularnewline Trim. Skewness (1/120)0.6070000.006400 & Trim. Kurtosis (1/120)-0.9518000.030800 \tabularnewline Trim. Skewness (2/120)0.6198000.005600 & Trim. Kurtosis (2/120)-0.9529000.032400 \tabularnewline Trim. Skewness (3/120)0.6349000.005000 & Trim. Kurtosis (3/120)-0.9554000.033200 \tabularnewline Trim. Skewness (4/120)0.6411000.005000 & Trim. Kurtosis (4/120)-0.9604000.034000 \tabularnewline Trim. Skewness (5/120)0.6523000.004600 & Trim. Kurtosis (5/120)-0.9548000.036600 \tabularnewline Trim. Skewness (6/120)0.6611000.004400 & Trim. Kurtosis (6/120)-0.9487000.039400 \tabularnewline Trim. Skewness (7/120)0.6749000.004000 & Trim. Kurtosis (7/120)-0.9325000.044400 \tabularnewline Trim. Skewness (8/120)0.6884000.003600 & Trim. Kurtosis (8/120)-0.9197000.050000 \tabularnewline Trim. Skewness (9/120)0.7036000.003200 & Trim. Kurtosis (9/120)-0.9048000.056200 \tabularnewline Trim. Skewness (10/120)0.7230000.002600 & Trim. Kurtosis (10/120)-0.8767000.065800 \tabularnewline Trim. Skewness (11/120)0.7430000.002200 & Trim. Kurtosis (11/120)-0.8501000.076800 \tabularnewline Trim. Skewness (12/120)0.7650000.001800 & Trim. Kurtosis (12/120)-0.8239000.091000 \tabularnewline Trim. Skewness (13/120)0.7910000.001400 & Trim. Kurtosis (13/120)-0.7934000.105200 \tabularnewline Trim. Skewness (14/120)0.8209000.001000 & Trim. Kurtosis (14/120)-0.7597000.126000 \tabularnewline Trim. Skewness (15/120)0.8452000.000800 & Trim. Kurtosis (15/120)-0.7280000.147000 \tabularnewline Trim. Skewness (16/120)0.8768000.000600 & Trim. Kurtosis (16/120)-0.6757000.183600 \tabularnewline Trim. Skewness (17/120)0.9099000.000400 & Trim. Kurtosis (17/120)-0.6161000.230200 \tabularnewline Trim. Skewness (18/120)0.9462000.000400 & Trim. Kurtosis (18/120)-0.5514000.284600 \tabularnewline Trim. Skewness (19/120)0.9768000.000200 & Trim. Kurtosis (19/120)-0.4795000.357600 \tabularnewline Trim. Skewness (20/120)1.0069000.000200 & Trim. Kurtosis (20/120)-0.4048000.441200 \tabularnewline Trim. Skewness (21/120)1.0403000.000200 & Trim. Kurtosis (21/120)-0.3163000.555200 \tabularnewline Trim. Skewness (22/120)1.0746000.000000 & Trim. Kurtosis (22/120)-0.2251000.674400 \tabularnewline Trim. Skewness (23/120)1.1091000.000000 & Trim. Kurtosis (23/120)-0.1263000.818000 \tabularnewline Trim. Skewness (24/120)1.1456000.000000 & Trim. Kurtosis (24/120)-0.0134000.976000 \tabularnewline Trim. Skewness (25/120)1.1845000.000000 & Trim. Kurtosis (25/120)0.1088000.841400 \tabularnewline Trim. Skewness (26/120)1.2255000.000000 & Trim. Kurtosis (26/120)0.2432000.667200 \tabularnewline Trim. Skewness (27/120)1.2639000.000000 & Trim. Kurtosis (27/120)0.3800000.509200 \tabularnewline Trim. Skewness (28/120)1.3159000.000000 & Trim. Kurtosis (28/120)0.5772000.327000 \tabularnewline Trim. Skewness (29/120)1.3673000.000000 & Trim. Kurtosis (29/120)0.7847000.190200 \tabularnewline Trim. Skewness (30/120)1.4296000.000000 & Trim. Kurtosis (30/120)1.0686000.078400 \tabularnewline Trim. Skewness (31/120)1.4936000.000000 & Trim. Kurtosis (31/120)1.3901000.024400 \tabularnewline Trim. Skewness (32/120)1.5597000.000000 & Trim. Kurtosis (32/120)1.7598000.005000 \tabularnewline Trim. Skewness (33/120)1.6156000.000000 & Trim. Kurtosis (33/120)2.1536000.000800 \tabularnewline Trim. Skewness (34/120)1.6535000.000000 & Trim. Kurtosis (34/120)2.5349000.000000 \tabularnewline Trim. Skewness (35/120)1.6353000.000000 & Trim. Kurtosis (35/120)2.7449000.000000 \tabularnewline Trim. Skewness (36/120)1.6309000.000000 & Trim. Kurtosis (36/120)3.1689000.000000 \tabularnewline Trim. Skewness (37/120)1.5231000.000000 & Trim. Kurtosis (37/120)3.3006000.000000 \tabularnewline Trim. Skewness (38/120)0.9361000.008800 & Trim. Kurtosis (38/120)0.7439000.284600 \tabularnewline Trim. Skewness (39/120)0.7448000.041400 & Trim. Kurtosis (39/120)0.2084000.764200 \tabularnewline Trim. Skewness (40/120)0.5267000.158600 & Trim. Kurtosis (40/120)-0.4134000.568600 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102985&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]0.593500[/C]0.007200[/C][C]Trim. Kurtosis (0/120)[/C]-0.931600[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.607000[/C]0.006400[/C][C]Trim. Kurtosis (1/120)[/C]-0.951800[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.619800[/C]0.005600[/C][C]Trim. Kurtosis (2/120)[/C]-0.952900[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.634900[/C]0.005000[/C][C]Trim. Kurtosis (3/120)[/C]-0.955400[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.641100[/C]0.005000[/C][C]Trim. Kurtosis (4/120)[/C]-0.960400[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.652300[/C]0.004600[/C][C]Trim. Kurtosis (5/120)[/C]-0.954800[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.661100[/C]0.004400[/C][C]Trim. Kurtosis (6/120)[/C]-0.948700[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.674900[/C]0.004000[/C][C]Trim. Kurtosis (7/120)[/C]-0.932500[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.688400[/C]0.003600[/C][C]Trim. Kurtosis (8/120)[/C]-0.919700[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.703600[/C]0.003200[/C][C]Trim. Kurtosis (9/120)[/C]-0.904800[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.723000[/C]0.002600[/C][C]Trim. Kurtosis (10/120)[/C]-0.876700[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.743000[/C]0.002200[/C][C]Trim. Kurtosis (11/120)[/C]-0.850100[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.765000[/C]0.001800[/C][C]Trim. Kurtosis (12/120)[/C]-0.823900[/C]0.091000[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.791000[/C]0.001400[/C][C]Trim. Kurtosis (13/120)[/C]-0.793400[/C]0.105200[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.820900[/C]0.001000[/C][C]Trim. Kurtosis (14/120)[/C]-0.759700[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.845200[/C]0.000800[/C][C]Trim. Kurtosis (15/120)[/C]-0.728000[/C]0.147000[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.876800[/C]0.000600[/C][C]Trim. Kurtosis (16/120)[/C]-0.675700[/C]0.183600[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.909900[/C]0.000400[/C][C]Trim. Kurtosis (17/120)[/C]-0.616100[/C]0.230200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.946200[/C]0.000400[/C][C]Trim. Kurtosis (18/120)[/C]-0.551400[/C]0.284600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.976800[/C]0.000200[/C][C]Trim. Kurtosis (19/120)[/C]-0.479500[/C]0.357600[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]1.006900[/C]0.000200[/C][C]Trim. Kurtosis (20/120)[/C]-0.404800[/C]0.441200[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]1.040300[/C]0.000200[/C][C]Trim. Kurtosis (21/120)[/C]-0.316300[/C]0.555200[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]1.074600[/C]0.000000[/C][C]Trim. Kurtosis (22/120)[/C]-0.225100[/C]0.674400[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]1.109100[/C]0.000000[/C][C]Trim. Kurtosis (23/120)[/C]-0.126300[/C]0.818000[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]1.145600[/C]0.000000[/C][C]Trim. Kurtosis (24/120)[/C]-0.013400[/C]0.976000[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]1.184500[/C]0.000000[/C][C]Trim. Kurtosis (25/120)[/C]0.108800[/C]0.841400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]1.225500[/C]0.000000[/C][C]Trim. Kurtosis (26/120)[/C]0.243200[/C]0.667200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]1.263900[/C]0.000000[/C][C]Trim. Kurtosis (27/120)[/C]0.380000[/C]0.509200[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]1.315900[/C]0.000000[/C][C]Trim. Kurtosis (28/120)[/C]0.577200[/C]0.327000[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]1.367300[/C]0.000000[/C][C]Trim. Kurtosis (29/120)[/C]0.784700[/C]0.190200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]1.429600[/C]0.000000[/C][C]Trim. Kurtosis (30/120)[/C]1.068600[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]1.493600[/C]0.000000[/C][C]Trim. Kurtosis (31/120)[/C]1.390100[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]1.559700[/C]0.000000[/C][C]Trim. Kurtosis (32/120)[/C]1.759800[/C]0.005000[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]1.615600[/C]0.000000[/C][C]Trim. Kurtosis (33/120)[/C]2.153600[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]1.653500[/C]0.000000[/C][C]Trim. Kurtosis (34/120)[/C]2.534900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]1.635300[/C]0.000000[/C][C]Trim. Kurtosis (35/120)[/C]2.744900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]1.630900[/C]0.000000[/C][C]Trim. Kurtosis (36/120)[/C]3.168900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]1.523100[/C]0.000000[/C][C]Trim. Kurtosis (37/120)[/C]3.300600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.936100[/C]0.008800[/C][C]Trim. Kurtosis (38/120)[/C]0.743900[/C]0.284600[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.744800[/C]0.041400[/C][C]Trim. Kurtosis (39/120)[/C]0.208400[/C]0.764200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.526700[/C]0.158600[/C][C]Trim. Kurtosis (40/120)[/C]-0.413400[/C]0.568600[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102985&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102985&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)0.5935000.007200Trim. Kurtosis (0/120)-0.9316000.033200
Trim. Skewness (1/120)0.6070000.006400Trim. Kurtosis (1/120)-0.9518000.030800
Trim. Skewness (2/120)0.6198000.005600Trim. Kurtosis (2/120)-0.9529000.032400
Trim. Skewness (3/120)0.6349000.005000Trim. Kurtosis (3/120)-0.9554000.033200
Trim. Skewness (4/120)0.6411000.005000Trim. Kurtosis (4/120)-0.9604000.034000
Trim. Skewness (5/120)0.6523000.004600Trim. Kurtosis (5/120)-0.9548000.036600
Trim. Skewness (6/120)0.6611000.004400Trim. Kurtosis (6/120)-0.9487000.039400
Trim. Skewness (7/120)0.6749000.004000Trim. Kurtosis (7/120)-0.9325000.044400
Trim. Skewness (8/120)0.6884000.003600Trim. Kurtosis (8/120)-0.9197000.050000
Trim. Skewness (9/120)0.7036000.003200Trim. Kurtosis (9/120)-0.9048000.056200
Trim. Skewness (10/120)0.7230000.002600Trim. Kurtosis (10/120)-0.8767000.065800
Trim. Skewness (11/120)0.7430000.002200Trim. Kurtosis (11/120)-0.8501000.076800
Trim. Skewness (12/120)0.7650000.001800Trim. Kurtosis (12/120)-0.8239000.091000
Trim. Skewness (13/120)0.7910000.001400Trim. Kurtosis (13/120)-0.7934000.105200
Trim. Skewness (14/120)0.8209000.001000Trim. Kurtosis (14/120)-0.7597000.126000
Trim. Skewness (15/120)0.8452000.000800Trim. Kurtosis (15/120)-0.7280000.147000
Trim. Skewness (16/120)0.8768000.000600Trim. Kurtosis (16/120)-0.6757000.183600
Trim. Skewness (17/120)0.9099000.000400Trim. Kurtosis (17/120)-0.6161000.230200
Trim. Skewness (18/120)0.9462000.000400Trim. Kurtosis (18/120)-0.5514000.284600
Trim. Skewness (19/120)0.9768000.000200Trim. Kurtosis (19/120)-0.4795000.357600
Trim. Skewness (20/120)1.0069000.000200Trim. Kurtosis (20/120)-0.4048000.441200
Trim. Skewness (21/120)1.0403000.000200Trim. Kurtosis (21/120)-0.3163000.555200
Trim. Skewness (22/120)1.0746000.000000Trim. Kurtosis (22/120)-0.2251000.674400
Trim. Skewness (23/120)1.1091000.000000Trim. Kurtosis (23/120)-0.1263000.818000
Trim. Skewness (24/120)1.1456000.000000Trim. Kurtosis (24/120)-0.0134000.976000
Trim. Skewness (25/120)1.1845000.000000Trim. Kurtosis (25/120)0.1088000.841400
Trim. Skewness (26/120)1.2255000.000000Trim. Kurtosis (26/120)0.2432000.667200
Trim. Skewness (27/120)1.2639000.000000Trim. Kurtosis (27/120)0.3800000.509200
Trim. Skewness (28/120)1.3159000.000000Trim. Kurtosis (28/120)0.5772000.327000
Trim. Skewness (29/120)1.3673000.000000Trim. Kurtosis (29/120)0.7847000.190200
Trim. Skewness (30/120)1.4296000.000000Trim. Kurtosis (30/120)1.0686000.078400
Trim. Skewness (31/120)1.4936000.000000Trim. Kurtosis (31/120)1.3901000.024400
Trim. Skewness (32/120)1.5597000.000000Trim. Kurtosis (32/120)1.7598000.005000
Trim. Skewness (33/120)1.6156000.000000Trim. Kurtosis (33/120)2.1536000.000800
Trim. Skewness (34/120)1.6535000.000000Trim. Kurtosis (34/120)2.5349000.000000
Trim. Skewness (35/120)1.6353000.000000Trim. Kurtosis (35/120)2.7449000.000000
Trim. Skewness (36/120)1.6309000.000000Trim. Kurtosis (36/120)3.1689000.000000
Trim. Skewness (37/120)1.5231000.000000Trim. Kurtosis (37/120)3.3006000.000000
Trim. Skewness (38/120)0.9361000.008800Trim. Kurtosis (38/120)0.7439000.284600
Trim. Skewness (39/120)0.7448000.041400Trim. Kurtosis (39/120)0.2084000.764200
Trim. Skewness (40/120)0.5267000.158600Trim. Kurtosis (40/120)-0.4134000.568600


Figures (Output of Computation)

Input Parameters & R Code

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