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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Moduleskewkurt.wasp
Title produced by softwareSkewness and Kurtosis
Date of computationMon, 29 Nov 2010 18:07:05 +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/t1291053917w3j65myiwtii5dr.htm/, Retrieved Mon, 29 Apr 2024 12:02:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103005, Retrieved Mon, 29 Apr 2024 12:02:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact129

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Skewness and Kurtosis] [] [2010-11-29 17:29:37] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D  [Skewness and Kurtosis] [] [2010-11-29 17:35:36] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D    [Skewness and Kurtosis] [] [2010-11-29 17:37:34] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D      [Skewness and Kurtosis] [] [2010-11-29 17:39:18] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D        [Skewness and Kurtosis] [] [2010-11-29 17:41:39] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D          [Skewness and Kurtosis] [] [2010-11-29 17:44:08] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D            [Skewness and Kurtosis] [] [2010-11-29 17:45:30] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D              [Skewness and Kurtosis] [] [2010-11-29 17:46:57] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                [Skewness and Kurtosis] [] [2010-11-29 17:48:57] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                  [Skewness and Kurtosis] [] [2010-11-29 17:58:21] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                    [Skewness and Kurtosis] [] [2010-11-29 18:00:24] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                      [Skewness and Kurtosis] [] [2010-11-29 18:02:07] [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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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 
278.8583859
254.5266122
244.2392601
276.7198392
220.8863327
263.7821133
270.0817268
342.3479739
247.5521659
299.3974673
235.8950959
244.5997074
267.5723415
258.1114068
259.3246084
260.2114177
250.737167
309.1042873
233.5230422
257.1873475
276.8194669
244.5496946
238.1594162
289.3315499
280.4611484
277.608197
304.2801882
306.3476879
307.1633091
257.5779962
241.5159417
296.9552945
262.2767918
258.0877493
230.9549391
274.3386283
270.0764795
341.3917855
250.2219877
249.4410268
289.1989713
240.3608849
277.7486601
265.6737013
268.5850842
264.6893044
267.0711693
281.7636472
229.0594066
252.3016406
238.2195597
245.500726
266.6220816
253.2922477
225.6480271
242.8552434
202.3739551
285.0450456
271.9202576
254.9743586
248.8695046
191.8908411
280.554886
264.29304
279.3668473
255.771474
256.771084
280.9400848
282.2750127
239.1112296
346.0002012
278.0700557
256.1629168
281.1226908
292.3292725
261.0859802
260.2183511
314.7595217
200.7203806
248.3347479
301.4805171
286.8874926
260.2139699
215.7393499
254.9146036
226.2236003
232.6636053
224.704812
247.3293939
235.4282136
278.221722
248.8524698
295.9928193
247.106147
258.3508178
262.709859
262.7786063
281.07802
262.343718
232.4247442
268.2216073
267.5295545
212.158314
264.688288
253.5850109
253.2157953
255.3796273
256.6438585
254.7057317
266.0713228
233.5645811
257.5179726
282.1138751
296.911467
237.11389
278.4531761
263.4483917
276.4385826
253.5877579
253.8079348

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.7751.232901FISHER 4th Cent. Mom.2.04462e+6
FISHER beta 10.178670FISHER beta 24.228169
FISHER gamma 10.422694FISHER gamma 21.228169
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.890345FISHER Test 22.746269
FISHER Test 1 Probability0.057400FISHER Test 2 Probability0.006000
Pearson 20.234932
Yule using Quartile definition:Weighted Average at Xnp0.161807
Yule using Quartile definition:Weighted Average at X(n+1)p0.167004
Yule using Quartile definition:Empirical Distribution Function0.161807
Yule using Quartile definition:Empirical Distribution Function - Averaging0.168092
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.169187
Yule using Quartile definition:Closest Observation0.161807
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.169187
Yule using Quartile definition:MS Excel (old versions)0.165922
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.428063Kurtosis (small sample)1.332638
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.938004TEST 1 (small sample)3.040259
TEST 1 Prob. (small sample)0.052400TEST 1 Prob. (small sample)0.002200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.7751.232901 & FISHER 4th Cent. Mom.2.04462e+6 \tabularnewline FISHER beta 10.178670 & FISHER beta 24.228169 \tabularnewline FISHER gamma 10.422694 & FISHER gamma 21.228169 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 11.890345 & FISHER Test 22.746269 \tabularnewline FISHER Test 1 Probability0.057400 & FISHER Test 2 Probability0.006000 \tabularnewline Pearson 20.234932 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.161807 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.167004 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.161807 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.168092 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.169187 & & \tabularnewline Yule using Quartile definition:Closest Observation0.161807 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.169187 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.165922 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.428063 & Kurtosis (small sample)1.332638 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)1.938004 & TEST 1 (small sample)3.040259 \tabularnewline TEST 1 Prob. (small sample)0.052400 & TEST 1 Prob. (small sample)0.002200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103005&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]7751.232901[/C][C]FISHER 4th Cent. Mom.[/C]2.04462e+6[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.178670[/C][C]FISHER beta 2[/C]4.228169[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.422694[/C][C]FISHER gamma 2[/C]1.228169[/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]1.890345[/C][C]FISHER Test 2[/C]2.746269[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.057400[/C][C]FISHER Test 2 Probability[/C]0.006000[/C][/ROW] [ROW][C]Pearson 2[/C]0.234932[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.161807[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.167004[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.161807[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.168092[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.169187[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.161807[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.169187[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.165922[/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]0.428063[/C][C]Kurtosis (small sample)[/C]1.332638[/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]1.938004[/C][C]TEST 1 (small sample)[/C]3.040259[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.052400[/C][C]TEST 1 Prob. (small sample)[/C]0.002200[/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=103005&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103005&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.7751.232901FISHER 4th Cent. Mom.2.04462e+6
FISHER beta 10.178670FISHER beta 24.228169
FISHER gamma 10.422694FISHER gamma 21.228169
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.890345FISHER Test 22.746269
FISHER Test 1 Probability0.057400FISHER Test 2 Probability0.006000
Pearson 20.234932
Yule using Quartile definition:Weighted Average at Xnp0.161807
Yule using Quartile definition:Weighted Average at X(n+1)p0.167004
Yule using Quartile definition:Empirical Distribution Function0.161807
Yule using Quartile definition:Empirical Distribution Function - Averaging0.168092
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.169187
Yule using Quartile definition:Closest Observation0.161807
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.169187
Yule using Quartile definition:MS Excel (old versions)0.165922
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.428063Kurtosis (small sample)1.332638
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.938004TEST 1 (small sample)3.040259
TEST 1 Prob. (small sample)0.052400TEST 1 Prob. (small sample)0.002200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.4281000.052400Trim. Kurtosis (0/120)1.3326000.002200
Trim. Skewness (1/120)0.4125000.062800Trim. Kurtosis (1/120)1.0672000.015600
Trim. Skewness (2/120)0.3330000.136200Trim. Kurtosis (2/120)0.6864000.121200
Trim. Skewness (3/120)0.1871000.406600Trim. Kurtosis (3/120)-0.1742000.696600
Trim. Skewness (4/120)0.1948000.389800Trim. Kurtosis (4/120)-0.3000000.502800
Trim. Skewness (5/120)0.2158000.347200Trim. Kurtosis (5/120)-0.3752000.406600
Trim. Skewness (6/120)0.2175000.347200Trim. Kurtosis (6/120)-0.4240000.357600
Trim. Skewness (7/120)0.1985000.395400Trim. Kurtosis (7/120)-0.4774000.303000
Trim. Skewness (8/120)0.1813000.441200Trim. Kurtosis (8/120)-0.5381000.250200
Trim. Skewness (9/120)0.1750000.459200Trim. Kurtosis (9/120)-0.5962000.207600
Trim. Skewness (10/120)0.1614000.502800Trim. Kurtosis (10/120)-0.6392000.180200
Trim. Skewness (11/120)0.1490000.535200Trim. Kurtosis (11/120)-0.6643000.167600
Trim. Skewness (12/120)0.1215000.617000Trim. Kurtosis (12/120)-0.7139000.141600
Trim. Skewness (13/120)0.0904000.711400Trim. Kurtosis (13/120)-0.7909000.107400
Trim. Skewness (14/120)0.0775000.756600Trim. Kurtosis (14/120)-0.8334000.093000
Trim. Skewness (15/120)0.0855000.733800Trim. Kurtosis (15/120)-0.8633000.085400
Trim. Skewness (16/120)0.0801000.749000Trim. Kurtosis (16/120)-0.8995000.076800
Trim. Skewness (17/120)0.0889000.726400Trim. Kurtosis (17/120)-0.9254000.070200
Trim. Skewness (18/120)0.1034000.689200Trim. Kurtosis (18/120)-0.9361000.070200
Trim. Skewness (19/120)0.1311000.617000Trim. Kurtosis (19/120)-0.9239000.078400
Trim. Skewness (20/120)0.1668000.528600Trim. Kurtosis (20/120)-0.9232000.081800
Trim. Skewness (21/120)0.2044000.447200Trim. Kurtosis (21/120)-0.9221000.085400
Trim. Skewness (22/120)0.2418000.378800Trim. Kurtosis (22/120)-0.9110000.093000
Trim. Skewness (23/120)0.2751000.322200Trim. Kurtosis (23/120)-0.8957000.103200
Trim. Skewness (24/120)0.3011000.284600Trim. Kurtosis (24/120)-0.8731000.116400
Trim. Skewness (25/120)0.3197000.262800Trim. Kurtosis (25/120)-0.8397000.136200
Trim. Skewness (26/120)0.3381000.242000Trim. Kurtosis (26/120)-0.8125000.155600
Trim. Skewness (27/120)0.3712000.207600Trim. Kurtosis (27/120)-0.7777000.180200
Trim. Skewness (28/120)0.4036000.177000Trim. Kurtosis (28/120)-0.7327000.211200
Trim. Skewness (29/120)0.4230000.161600Trim. Kurtosis (29/120)-0.6699000.262800
Trim. Skewness (30/120)0.4436000.149800Trim. Kurtosis (30/120)-0.6060000.317400
Trim. Skewness (31/120)0.4638000.138800Trim. Kurtosis (31/120)-0.5484000.373400
Trim. Skewness (32/120)0.4742000.136200Trim. Kurtosis (32/120)-0.4932000.429600
Trim. Skewness (33/120)0.4698000.147000Trim. Kurtosis (33/120)-0.4657000.465400
Trim. Skewness (34/120)0.4725000.149800Trim. Kurtosis (34/120)-0.4524000.484000
Trim. Skewness (35/120)0.4436000.186800Trim. Kurtosis (35/120)-0.5384000.412200
Trim. Skewness (36/120)0.3547000.298400Trim. Kurtosis (36/120)-0.8240000.218600
Trim. Skewness (37/120)0.2893000.406600Trim. Kurtosis (37/120)-1.0914000.111800
Trim. Skewness (38/120)0.2468000.484000Trim. Kurtosis (38/120)-1.2011000.085400
Trim. Skewness (39/120)0.2289000.528600Trim. Kurtosis (39/120)-1.2086000.091000
Trim. Skewness (40/120)0.1900000.610000Trim. Kurtosis (40/120)-1.2758000.080200

\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)0.4281000.052400 & Trim. Kurtosis (0/120)1.3326000.002200 \tabularnewline Trim. Skewness (1/120)0.4125000.062800 & Trim. Kurtosis (1/120)1.0672000.015600 \tabularnewline Trim. Skewness (2/120)0.3330000.136200 & Trim. Kurtosis (2/120)0.6864000.121200 \tabularnewline Trim. Skewness (3/120)0.1871000.406600 & Trim. Kurtosis (3/120)-0.1742000.696600 \tabularnewline Trim. Skewness (4/120)0.1948000.389800 & Trim. Kurtosis (4/120)-0.3000000.502800 \tabularnewline Trim. Skewness (5/120)0.2158000.347200 & Trim. Kurtosis (5/120)-0.3752000.406600 \tabularnewline Trim. Skewness (6/120)0.2175000.347200 & Trim. Kurtosis (6/120)-0.4240000.357600 \tabularnewline Trim. Skewness (7/120)0.1985000.395400 & Trim. Kurtosis (7/120)-0.4774000.303000 \tabularnewline Trim. Skewness (8/120)0.1813000.441200 & Trim. Kurtosis (8/120)-0.5381000.250200 \tabularnewline Trim. Skewness (9/120)0.1750000.459200 & Trim. Kurtosis (9/120)-0.5962000.207600 \tabularnewline Trim. Skewness (10/120)0.1614000.502800 & Trim. Kurtosis (10/120)-0.6392000.180200 \tabularnewline Trim. Skewness (11/120)0.1490000.535200 & Trim. Kurtosis (11/120)-0.6643000.167600 \tabularnewline Trim. Skewness (12/120)0.1215000.617000 & Trim. Kurtosis (12/120)-0.7139000.141600 \tabularnewline Trim. Skewness (13/120)0.0904000.711400 & Trim. Kurtosis (13/120)-0.7909000.107400 \tabularnewline Trim. Skewness (14/120)0.0775000.756600 & Trim. Kurtosis (14/120)-0.8334000.093000 \tabularnewline Trim. Skewness (15/120)0.0855000.733800 & Trim. Kurtosis (15/120)-0.8633000.085400 \tabularnewline Trim. Skewness (16/120)0.0801000.749000 & Trim. Kurtosis (16/120)-0.8995000.076800 \tabularnewline Trim. Skewness (17/120)0.0889000.726400 & Trim. Kurtosis (17/120)-0.9254000.070200 \tabularnewline Trim. Skewness (18/120)0.1034000.689200 & Trim. Kurtosis (18/120)-0.9361000.070200 \tabularnewline Trim. Skewness (19/120)0.1311000.617000 & Trim. Kurtosis (19/120)-0.9239000.078400 \tabularnewline Trim. Skewness (20/120)0.1668000.528600 & Trim. Kurtosis (20/120)-0.9232000.081800 \tabularnewline Trim. Skewness (21/120)0.2044000.447200 & Trim. Kurtosis (21/120)-0.9221000.085400 \tabularnewline Trim. Skewness (22/120)0.2418000.378800 & Trim. Kurtosis (22/120)-0.9110000.093000 \tabularnewline Trim. Skewness (23/120)0.2751000.322200 & Trim. Kurtosis (23/120)-0.8957000.103200 \tabularnewline Trim. Skewness (24/120)0.3011000.284600 & Trim. Kurtosis (24/120)-0.8731000.116400 \tabularnewline Trim. Skewness (25/120)0.3197000.262800 & Trim. Kurtosis (25/120)-0.8397000.136200 \tabularnewline Trim. Skewness (26/120)0.3381000.242000 & Trim. Kurtosis (26/120)-0.8125000.155600 \tabularnewline Trim. Skewness (27/120)0.3712000.207600 & Trim. Kurtosis (27/120)-0.7777000.180200 \tabularnewline Trim. Skewness (28/120)0.4036000.177000 & Trim. Kurtosis (28/120)-0.7327000.211200 \tabularnewline Trim. Skewness (29/120)0.4230000.161600 & Trim. Kurtosis (29/120)-0.6699000.262800 \tabularnewline Trim. Skewness (30/120)0.4436000.149800 & Trim. Kurtosis (30/120)-0.6060000.317400 \tabularnewline Trim. Skewness (31/120)0.4638000.138800 & Trim. Kurtosis (31/120)-0.5484000.373400 \tabularnewline Trim. Skewness (32/120)0.4742000.136200 & Trim. Kurtosis (32/120)-0.4932000.429600 \tabularnewline Trim. Skewness (33/120)0.4698000.147000 & Trim. Kurtosis (33/120)-0.4657000.465400 \tabularnewline Trim. Skewness (34/120)0.4725000.149800 & Trim. Kurtosis (34/120)-0.4524000.484000 \tabularnewline Trim. Skewness (35/120)0.4436000.186800 & Trim. Kurtosis (35/120)-0.5384000.412200 \tabularnewline Trim. Skewness (36/120)0.3547000.298400 & Trim. Kurtosis (36/120)-0.8240000.218600 \tabularnewline Trim. Skewness (37/120)0.2893000.406600 & Trim. Kurtosis (37/120)-1.0914000.111800 \tabularnewline Trim. Skewness (38/120)0.2468000.484000 & Trim. Kurtosis (38/120)-1.2011000.085400 \tabularnewline Trim. Skewness (39/120)0.2289000.528600 & Trim. Kurtosis (39/120)-1.2086000.091000 \tabularnewline Trim. Skewness (40/120)0.1900000.610000 & Trim. Kurtosis (40/120)-1.2758000.080200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103005&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]0.428100[/C]0.052400[/C][C]Trim. Kurtosis (0/120)[/C]1.332600[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.412500[/C]0.062800[/C][C]Trim. Kurtosis (1/120)[/C]1.067200[/C]0.015600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.333000[/C]0.136200[/C][C]Trim. Kurtosis (2/120)[/C]0.686400[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.187100[/C]0.406600[/C][C]Trim. Kurtosis (3/120)[/C]-0.174200[/C]0.696600[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.194800[/C]0.389800[/C][C]Trim. Kurtosis (4/120)[/C]-0.300000[/C]0.502800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.215800[/C]0.347200[/C][C]Trim. Kurtosis (5/120)[/C]-0.375200[/C]0.406600[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.217500[/C]0.347200[/C][C]Trim. Kurtosis (6/120)[/C]-0.424000[/C]0.357600[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.198500[/C]0.395400[/C][C]Trim. Kurtosis (7/120)[/C]-0.477400[/C]0.303000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.181300[/C]0.441200[/C][C]Trim. Kurtosis (8/120)[/C]-0.538100[/C]0.250200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.175000[/C]0.459200[/C][C]Trim. Kurtosis (9/120)[/C]-0.596200[/C]0.207600[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.161400[/C]0.502800[/C][C]Trim. Kurtosis (10/120)[/C]-0.639200[/C]0.180200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.149000[/C]0.535200[/C][C]Trim. Kurtosis (11/120)[/C]-0.664300[/C]0.167600[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.121500[/C]0.617000[/C][C]Trim. Kurtosis (12/120)[/C]-0.713900[/C]0.141600[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.090400[/C]0.711400[/C][C]Trim. Kurtosis (13/120)[/C]-0.790900[/C]0.107400[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.077500[/C]0.756600[/C][C]Trim. Kurtosis (14/120)[/C]-0.833400[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.085500[/C]0.733800[/C][C]Trim. Kurtosis (15/120)[/C]-0.863300[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.080100[/C]0.749000[/C][C]Trim. Kurtosis (16/120)[/C]-0.899500[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.088900[/C]0.726400[/C][C]Trim. Kurtosis (17/120)[/C]-0.925400[/C]0.070200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.103400[/C]0.689200[/C][C]Trim. Kurtosis (18/120)[/C]-0.936100[/C]0.070200[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.131100[/C]0.617000[/C][C]Trim. Kurtosis (19/120)[/C]-0.923900[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.166800[/C]0.528600[/C][C]Trim. Kurtosis (20/120)[/C]-0.923200[/C]0.081800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.204400[/C]0.447200[/C][C]Trim. Kurtosis (21/120)[/C]-0.922100[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.241800[/C]0.378800[/C][C]Trim. Kurtosis (22/120)[/C]-0.911000[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.275100[/C]0.322200[/C][C]Trim. Kurtosis (23/120)[/C]-0.895700[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.301100[/C]0.284600[/C][C]Trim. Kurtosis (24/120)[/C]-0.873100[/C]0.116400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.319700[/C]0.262800[/C][C]Trim. Kurtosis (25/120)[/C]-0.839700[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.338100[/C]0.242000[/C][C]Trim. Kurtosis (26/120)[/C]-0.812500[/C]0.155600[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.371200[/C]0.207600[/C][C]Trim. Kurtosis (27/120)[/C]-0.777700[/C]0.180200[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.403600[/C]0.177000[/C][C]Trim. Kurtosis (28/120)[/C]-0.732700[/C]0.211200[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.423000[/C]0.161600[/C][C]Trim. Kurtosis (29/120)[/C]-0.669900[/C]0.262800[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.443600[/C]0.149800[/C][C]Trim. Kurtosis (30/120)[/C]-0.606000[/C]0.317400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.463800[/C]0.138800[/C][C]Trim. Kurtosis (31/120)[/C]-0.548400[/C]0.373400[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.474200[/C]0.136200[/C][C]Trim. Kurtosis (32/120)[/C]-0.493200[/C]0.429600[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.469800[/C]0.147000[/C][C]Trim. Kurtosis (33/120)[/C]-0.465700[/C]0.465400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.472500[/C]0.149800[/C][C]Trim. Kurtosis (34/120)[/C]-0.452400[/C]0.484000[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.443600[/C]0.186800[/C][C]Trim. Kurtosis (35/120)[/C]-0.538400[/C]0.412200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.354700[/C]0.298400[/C][C]Trim. Kurtosis (36/120)[/C]-0.824000[/C]0.218600[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.289300[/C]0.406600[/C][C]Trim. Kurtosis (37/120)[/C]-1.091400[/C]0.111800[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.246800[/C]0.484000[/C][C]Trim. Kurtosis (38/120)[/C]-1.201100[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.228900[/C]0.528600[/C][C]Trim. Kurtosis (39/120)[/C]-1.208600[/C]0.091000[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.190000[/C]0.610000[/C][C]Trim. Kurtosis (40/120)[/C]-1.275800[/C]0.080200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103005&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103005&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)0.4281000.052400Trim. Kurtosis (0/120)1.3326000.002200
Trim. Skewness (1/120)0.4125000.062800Trim. Kurtosis (1/120)1.0672000.015600
Trim. Skewness (2/120)0.3330000.136200Trim. Kurtosis (2/120)0.6864000.121200
Trim. Skewness (3/120)0.1871000.406600Trim. Kurtosis (3/120)-0.1742000.696600
Trim. Skewness (4/120)0.1948000.389800Trim. Kurtosis (4/120)-0.3000000.502800
Trim. Skewness (5/120)0.2158000.347200Trim. Kurtosis (5/120)-0.3752000.406600
Trim. Skewness (6/120)0.2175000.347200Trim. Kurtosis (6/120)-0.4240000.357600
Trim. Skewness (7/120)0.1985000.395400Trim. Kurtosis (7/120)-0.4774000.303000
Trim. Skewness (8/120)0.1813000.441200Trim. Kurtosis (8/120)-0.5381000.250200
Trim. Skewness (9/120)0.1750000.459200Trim. Kurtosis (9/120)-0.5962000.207600
Trim. Skewness (10/120)0.1614000.502800Trim. Kurtosis (10/120)-0.6392000.180200
Trim. Skewness (11/120)0.1490000.535200Trim. Kurtosis (11/120)-0.6643000.167600
Trim. Skewness (12/120)0.1215000.617000Trim. Kurtosis (12/120)-0.7139000.141600
Trim. Skewness (13/120)0.0904000.711400Trim. Kurtosis (13/120)-0.7909000.107400
Trim. Skewness (14/120)0.0775000.756600Trim. Kurtosis (14/120)-0.8334000.093000
Trim. Skewness (15/120)0.0855000.733800Trim. Kurtosis (15/120)-0.8633000.085400
Trim. Skewness (16/120)0.0801000.749000Trim. Kurtosis (16/120)-0.8995000.076800
Trim. Skewness (17/120)0.0889000.726400Trim. Kurtosis (17/120)-0.9254000.070200
Trim. Skewness (18/120)0.1034000.689200Trim. Kurtosis (18/120)-0.9361000.070200
Trim. Skewness (19/120)0.1311000.617000Trim. Kurtosis (19/120)-0.9239000.078400
Trim. Skewness (20/120)0.1668000.528600Trim. Kurtosis (20/120)-0.9232000.081800
Trim. Skewness (21/120)0.2044000.447200Trim. Kurtosis (21/120)-0.9221000.085400
Trim. Skewness (22/120)0.2418000.378800Trim. Kurtosis (22/120)-0.9110000.093000
Trim. Skewness (23/120)0.2751000.322200Trim. Kurtosis (23/120)-0.8957000.103200
Trim. Skewness (24/120)0.3011000.284600Trim. Kurtosis (24/120)-0.8731000.116400
Trim. Skewness (25/120)0.3197000.262800Trim. Kurtosis (25/120)-0.8397000.136200
Trim. Skewness (26/120)0.3381000.242000Trim. Kurtosis (26/120)-0.8125000.155600
Trim. Skewness (27/120)0.3712000.207600Trim. Kurtosis (27/120)-0.7777000.180200
Trim. Skewness (28/120)0.4036000.177000Trim. Kurtosis (28/120)-0.7327000.211200
Trim. Skewness (29/120)0.4230000.161600Trim. Kurtosis (29/120)-0.6699000.262800
Trim. Skewness (30/120)0.4436000.149800Trim. Kurtosis (30/120)-0.6060000.317400
Trim. Skewness (31/120)0.4638000.138800Trim. Kurtosis (31/120)-0.5484000.373400
Trim. Skewness (32/120)0.4742000.136200Trim. Kurtosis (32/120)-0.4932000.429600
Trim. Skewness (33/120)0.4698000.147000Trim. Kurtosis (33/120)-0.4657000.465400
Trim. Skewness (34/120)0.4725000.149800Trim. Kurtosis (34/120)-0.4524000.484000
Trim. Skewness (35/120)0.4436000.186800Trim. Kurtosis (35/120)-0.5384000.412200
Trim. Skewness (36/120)0.3547000.298400Trim. Kurtosis (36/120)-0.8240000.218600
Trim. Skewness (37/120)0.2893000.406600Trim. Kurtosis (37/120)-1.0914000.111800
Trim. Skewness (38/120)0.2468000.484000Trim. Kurtosis (38/120)-1.2011000.085400
Trim. Skewness (39/120)0.2289000.528600Trim. Kurtosis (39/120)-1.2086000.091000
Trim. Skewness (40/120)0.1900000.610000Trim. Kurtosis (40/120)-1.2758000.080200


Figures (Output of Computation)

Input Parameters & R Code

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