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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 18:10:34 +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/t12910541067m765l7zrzh3t5s.htm/, Retrieved Mon, 29 Apr 2024 08:11:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103008, Retrieved Mon, 29 Apr 2024 08:11:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131

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] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                              [Skewness and Kurtosis] [] [2010-11-29 18:08:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                  [Skewness and Kurtosis] [] [2010-11-29 18:10:34] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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 
272.9129143
280.8330789
272.0712364
333.7073961
302.8702116
349.3798878
319.3774407
270.0252828
278.0560206
319.9497927
296.9710243
307.9505905
313.1428896
280.694582
304.8451078
276.4709686
319.2788864
271.9937951
304.4831986
265.9173217
245.2967968
314.0154804
280.086456
267.8872741
267.6848617
275.2834903
301.1057583
276.291641
249.3187973
312.9947779
325.4646924
293.2597892
318.0415186
315.8149801
274.3796847
312.2935285
309.8273337
266.3056371
319.7754139
281.5230448
279.0412006
284.6686815
292.0466908
259.4211535
318.7244654
314.968698
378.046818
295.5836426
232.4048933
328.5745415
231.9290938
274.9629689
283.1465912
341.1207333
302.5372545
304.6244804
311.5853731
258.9923866
288.8886569
390.5412815
288.6359293
353.0235409
273.658878
329.3732223
348.8426982
286.0563069
281.8314106
323.6166285
302.9137373
324.441534
289.9862165
270.6884454
284.5988587
282.7708009
276.9699055
321.1878088
253.6196038
269.7937976
343.1926875
296.4298038
263.9829585
290.9654726
321.039935
289.7163651
328.9237354
304.8143145
297.7717956
289.1716129
268.2988689
325.6955349
276.5677063
237.9545586
386.7704748
361.0688097
283.739247
223.1680008
300.2690529
251.7837617
261.7085768
298.9595298
340.7577461
291.7116639
303.4065588
221.0390417
281.8276921
314.9816782
271.4215287
330.4941129
251.8811966
249.6937846
278.0492216
270.1327442
282.192498
273.7856373
364.9783178
323.6551092
341.1925436
312.6311769
261.1873579
284.5668951

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.13981.116805FISHER 4th Cent. Mom.3.69480e+6
FISHER beta 10.168847FISHER beta 23.351170
FISHER gamma 10.410910FISHER gamma 20.351170
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.837644FISHER Test 20.785239
FISHER Test 1 Probability0.065800FISHER Test 2 Probability0.429600
Pearson 20.442442
Yule using Quartile definition:Weighted Average at Xnp0.202157
Yule using Quartile definition:Weighted Average at X(n+1)p0.233450
Yule using Quartile definition:Empirical Distribution Function0.202157
Yule using Quartile definition:Empirical Distribution Function - Averaging0.224479
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.215260
Yule using Quartile definition:Closest Observation0.202157
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.215260
Yule using Quartile definition:MS Excel (old versions)0.242183
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.416129Kurtosis (small sample)0.417970
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.883974TEST 1 (small sample)0.953550
TEST 1 Prob. (small sample)0.058800TEST 1 Prob. (small sample)0.337000
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.13981.116805 & FISHER 4th Cent. Mom.3.69480e+6 \tabularnewline FISHER beta 10.168847 & FISHER beta 23.351170 \tabularnewline FISHER gamma 10.410910 & FISHER gamma 20.351170 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 11.837644 & FISHER Test 20.785239 \tabularnewline FISHER Test 1 Probability0.065800 & FISHER Test 2 Probability0.429600 \tabularnewline Pearson 20.442442 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.202157 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.233450 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.202157 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.224479 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.215260 & & \tabularnewline Yule using Quartile definition:Closest Observation0.202157 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.215260 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.242183 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.416129 & Kurtosis (small sample)0.417970 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)1.883974 & TEST 1 (small sample)0.953550 \tabularnewline TEST 1 Prob. (small sample)0.058800 & TEST 1 Prob. (small sample)0.337000 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103008&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]13981.116805[/C][C]FISHER 4th Cent. Mom.[/C]3.69480e+6[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.168847[/C][C]FISHER beta 2[/C]3.351170[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.410910[/C][C]FISHER gamma 2[/C]0.351170[/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]1.837644[/C][C]FISHER Test 2[/C]0.785239[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.065800[/C][C]FISHER Test 2 Probability[/C]0.429600[/C][/ROW] [ROW][C]Pearson 2[/C]0.442442[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.202157[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.233450[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.202157[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.224479[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.215260[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.202157[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.215260[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.242183[/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]0.416129[/C][C]Kurtosis (small sample)[/C]0.417970[/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]1.883974[/C][C]TEST 1 (small sample)[/C]0.953550[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.058800[/C][C]TEST 1 Prob. (small sample)[/C]0.337000[/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=103008&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103008&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.13981.116805FISHER 4th Cent. Mom.3.69480e+6
FISHER beta 10.168847FISHER beta 23.351170
FISHER gamma 10.410910FISHER gamma 20.351170
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.837644FISHER Test 20.785239
FISHER Test 1 Probability0.065800FISHER Test 2 Probability0.429600
Pearson 20.442442
Yule using Quartile definition:Weighted Average at Xnp0.202157
Yule using Quartile definition:Weighted Average at X(n+1)p0.233450
Yule using Quartile definition:Empirical Distribution Function0.202157
Yule using Quartile definition:Empirical Distribution Function - Averaging0.224479
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.215260
Yule using Quartile definition:Closest Observation0.202157
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.215260
Yule using Quartile definition:MS Excel (old versions)0.242183
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.416129Kurtosis (small sample)0.417970
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.883974TEST 1 (small sample)0.953550
TEST 1 Prob. (small sample)0.058800TEST 1 Prob. (small sample)0.337000
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.4161000.058800Trim. Kurtosis (0/120)0.4180000.337000
Trim. Skewness (1/120)0.3793000.087200Trim. Kurtosis (1/120)0.2109000.631200
Trim. Skewness (2/120)0.3329000.136200Trim. Kurtosis (2/120)-0.1081000.802600
Trim. Skewness (3/120)0.2765000.218600Trim. Kurtosis (3/120)-0.3748000.400800
Trim. Skewness (4/120)0.2789000.218600Trim. Kurtosis (4/120)-0.5408000.230200
Trim. Skewness (5/120)0.2705000.238000Trim. Kurtosis (5/120)-0.7021000.123600
Trim. Skewness (6/120)0.2647000.254200Trim. Kurtosis (6/120)-0.7743000.093000
Trim. Skewness (7/120)0.2557000.275800Trim. Kurtosis (7/120)-0.8256000.075000
Trim. Skewness (8/120)0.2429000.303000Trim. Kurtosis (8/120)-0.9092000.052400
Trim. Skewness (9/120)0.2438000.307800Trim. Kurtosis (9/120)-0.9552000.043400
Trim. Skewness (10/120)0.2521000.293800Trim. Kurtosis (10/120)-1.0121000.034000
Trim. Skewness (11/120)0.2521000.298400Trim. Kurtosis (11/120)-1.0946000.023200
Trim. Skewness (12/120)0.2267000.352400Trim. Kurtosis (12/120)-1.1854000.014600
Trim. Skewness (13/120)0.2291000.352400Trim. Kurtosis (13/120)-1.2192000.013200
Trim. Skewness (14/120)0.2368000.342200Trim. Kurtosis (14/120)-1.2336000.013200
Trim. Skewness (15/120)0.2471000.327000Trim. Kurtosis (15/120)-1.2494000.012800
Trim. Skewness (16/120)0.2505000.327000Trim. Kurtosis (16/120)-1.2632000.012800
Trim. Skewness (17/120)0.2471000.337000Trim. Kurtosis (17/120)-1.2789000.012800
Trim. Skewness (18/120)0.2525000.332000Trim. Kurtosis (18/120)-1.2792000.013600
Trim. Skewness (19/120)0.2532000.337000Trim. Kurtosis (19/120)-1.2807000.014600
Trim. Skewness (20/120)0.2564000.337000Trim. Kurtosis (20/120)-1.2810000.016000
Trim. Skewness (21/120)0.2604000.337000Trim. Kurtosis (21/120)-1.2814000.016800
Trim. Skewness (22/120)0.2574000.347200Trim. Kurtosis (22/120)-1.2855000.018200
Trim. Skewness (23/120)0.2631000.342200Trim. Kurtosis (23/120)-1.2746000.020400
Trim. Skewness (24/120)0.2686000.342200Trim. Kurtosis (24/120)-1.2681000.023200
Trim. Skewness (25/120)0.2765000.332000Trim. Kurtosis (25/120)-1.2563000.026400
Trim. Skewness (26/120)0.2813000.332000Trim. Kurtosis (26/120)-1.2466000.029200
Trim. Skewness (27/120)0.2842000.332000Trim. Kurtosis (27/120)-1.2386000.033200
Trim. Skewness (28/120)0.2854000.337000Trim. Kurtosis (28/120)-1.2405000.034800
Trim. Skewness (29/120)0.2826000.352400Trim. Kurtosis (29/120)-1.2460000.037600
Trim. Skewness (30/120)0.2762000.368200Trim. Kurtosis (30/120)-1.2548000.038400
Trim. Skewness (31/120)0.2828000.362800Trim. Kurtosis (31/120)-1.2428000.043400
Trim. Skewness (32/120)0.2905000.357600Trim. Kurtosis (32/120)-1.2258000.050000
Trim. Skewness (33/120)0.2922000.362800Trim. Kurtosis (33/120)-1.2175000.056200
Trim. Skewness (34/120)0.2971000.368200Trim. Kurtosis (34/120)-1.2051000.062800
Trim. Skewness (35/120)0.2992000.373400Trim. Kurtosis (35/120)-1.1843000.073400
Trim. Skewness (36/120)0.2967000.384400Trim. Kurtosis (36/120)-1.1767000.080200
Trim. Skewness (37/120)0.2905000.406600Trim. Kurtosis (37/120)-1.1884000.083600
Trim. Skewness (38/120)0.2734000.441200Trim. Kurtosis (38/120)-1.2351000.076800
Trim. Skewness (39/120)0.2372000.515600Trim. Kurtosis (39/120)-1.3149000.065800
Trim. Skewness (40/120)0.2153000.562000Trim. Kurtosis (40/120)-1.3927000.056200

\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)0.4161000.058800 & Trim. Kurtosis (0/120)0.4180000.337000 \tabularnewline Trim. Skewness (1/120)0.3793000.087200 & Trim. Kurtosis (1/120)0.2109000.631200 \tabularnewline Trim. Skewness (2/120)0.3329000.136200 & Trim. Kurtosis (2/120)-0.1081000.802600 \tabularnewline Trim. Skewness (3/120)0.2765000.218600 & Trim. Kurtosis (3/120)-0.3748000.400800 \tabularnewline Trim. Skewness (4/120)0.2789000.218600 & Trim. Kurtosis (4/120)-0.5408000.230200 \tabularnewline Trim. Skewness (5/120)0.2705000.238000 & Trim. Kurtosis (5/120)-0.7021000.123600 \tabularnewline Trim. Skewness (6/120)0.2647000.254200 & Trim. Kurtosis (6/120)-0.7743000.093000 \tabularnewline Trim. Skewness (7/120)0.2557000.275800 & Trim. Kurtosis (7/120)-0.8256000.075000 \tabularnewline Trim. Skewness (8/120)0.2429000.303000 & Trim. Kurtosis (8/120)-0.9092000.052400 \tabularnewline Trim. Skewness (9/120)0.2438000.307800 & Trim. Kurtosis (9/120)-0.9552000.043400 \tabularnewline Trim. Skewness (10/120)0.2521000.293800 & Trim. Kurtosis (10/120)-1.0121000.034000 \tabularnewline Trim. Skewness (11/120)0.2521000.298400 & Trim. Kurtosis (11/120)-1.0946000.023200 \tabularnewline Trim. Skewness (12/120)0.2267000.352400 & Trim. Kurtosis (12/120)-1.1854000.014600 \tabularnewline Trim. Skewness (13/120)0.2291000.352400 & Trim. Kurtosis (13/120)-1.2192000.013200 \tabularnewline Trim. Skewness (14/120)0.2368000.342200 & Trim. Kurtosis (14/120)-1.2336000.013200 \tabularnewline Trim. Skewness (15/120)0.2471000.327000 & Trim. Kurtosis (15/120)-1.2494000.012800 \tabularnewline Trim. Skewness (16/120)0.2505000.327000 & Trim. Kurtosis (16/120)-1.2632000.012800 \tabularnewline Trim. Skewness (17/120)0.2471000.337000 & Trim. Kurtosis (17/120)-1.2789000.012800 \tabularnewline Trim. Skewness (18/120)0.2525000.332000 & Trim. Kurtosis (18/120)-1.2792000.013600 \tabularnewline Trim. Skewness (19/120)0.2532000.337000 & Trim. Kurtosis (19/120)-1.2807000.014600 \tabularnewline Trim. Skewness (20/120)0.2564000.337000 & Trim. Kurtosis (20/120)-1.2810000.016000 \tabularnewline Trim. Skewness (21/120)0.2604000.337000 & Trim. Kurtosis (21/120)-1.2814000.016800 \tabularnewline Trim. Skewness (22/120)0.2574000.347200 & Trim. Kurtosis (22/120)-1.2855000.018200 \tabularnewline Trim. Skewness (23/120)0.2631000.342200 & Trim. Kurtosis (23/120)-1.2746000.020400 \tabularnewline Trim. Skewness (24/120)0.2686000.342200 & Trim. Kurtosis (24/120)-1.2681000.023200 \tabularnewline Trim. Skewness (25/120)0.2765000.332000 & Trim. Kurtosis (25/120)-1.2563000.026400 \tabularnewline Trim. Skewness (26/120)0.2813000.332000 & Trim. Kurtosis (26/120)-1.2466000.029200 \tabularnewline Trim. Skewness (27/120)0.2842000.332000 & Trim. Kurtosis (27/120)-1.2386000.033200 \tabularnewline Trim. Skewness (28/120)0.2854000.337000 & Trim. Kurtosis (28/120)-1.2405000.034800 \tabularnewline Trim. Skewness (29/120)0.2826000.352400 & Trim. Kurtosis (29/120)-1.2460000.037600 \tabularnewline Trim. Skewness (30/120)0.2762000.368200 & Trim. Kurtosis (30/120)-1.2548000.038400 \tabularnewline Trim. Skewness (31/120)0.2828000.362800 & Trim. Kurtosis (31/120)-1.2428000.043400 \tabularnewline Trim. Skewness (32/120)0.2905000.357600 & Trim. Kurtosis (32/120)-1.2258000.050000 \tabularnewline Trim. Skewness (33/120)0.2922000.362800 & Trim. Kurtosis (33/120)-1.2175000.056200 \tabularnewline Trim. Skewness (34/120)0.2971000.368200 & Trim. Kurtosis (34/120)-1.2051000.062800 \tabularnewline Trim. Skewness (35/120)0.2992000.373400 & Trim. Kurtosis (35/120)-1.1843000.073400 \tabularnewline Trim. Skewness (36/120)0.2967000.384400 & Trim. Kurtosis (36/120)-1.1767000.080200 \tabularnewline Trim. Skewness (37/120)0.2905000.406600 & Trim. Kurtosis (37/120)-1.1884000.083600 \tabularnewline Trim. Skewness (38/120)0.2734000.441200 & Trim. Kurtosis (38/120)-1.2351000.076800 \tabularnewline Trim. Skewness (39/120)0.2372000.515600 & Trim. Kurtosis (39/120)-1.3149000.065800 \tabularnewline Trim. Skewness (40/120)0.2153000.562000 & Trim. Kurtosis (40/120)-1.3927000.056200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103008&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]0.416100[/C]0.058800[/C][C]Trim. Kurtosis (0/120)[/C]0.418000[/C]0.337000[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.379300[/C]0.087200[/C][C]Trim. Kurtosis (1/120)[/C]0.210900[/C]0.631200[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.332900[/C]0.136200[/C][C]Trim. Kurtosis (2/120)[/C]-0.108100[/C]0.802600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.276500[/C]0.218600[/C][C]Trim. Kurtosis (3/120)[/C]-0.374800[/C]0.400800[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.278900[/C]0.218600[/C][C]Trim. Kurtosis (4/120)[/C]-0.540800[/C]0.230200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.270500[/C]0.238000[/C][C]Trim. Kurtosis (5/120)[/C]-0.702100[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.264700[/C]0.254200[/C][C]Trim. Kurtosis (6/120)[/C]-0.774300[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.255700[/C]0.275800[/C][C]Trim. Kurtosis (7/120)[/C]-0.825600[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.242900[/C]0.303000[/C][C]Trim. Kurtosis (8/120)[/C]-0.909200[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.243800[/C]0.307800[/C][C]Trim. Kurtosis (9/120)[/C]-0.955200[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.252100[/C]0.293800[/C][C]Trim. Kurtosis (10/120)[/C]-1.012100[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.252100[/C]0.298400[/C][C]Trim. Kurtosis (11/120)[/C]-1.094600[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.226700[/C]0.352400[/C][C]Trim. Kurtosis (12/120)[/C]-1.185400[/C]0.014600[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.229100[/C]0.352400[/C][C]Trim. Kurtosis (13/120)[/C]-1.219200[/C]0.013200[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.236800[/C]0.342200[/C][C]Trim. Kurtosis (14/120)[/C]-1.233600[/C]0.013200[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.247100[/C]0.327000[/C][C]Trim. Kurtosis (15/120)[/C]-1.249400[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.250500[/C]0.327000[/C][C]Trim. Kurtosis (16/120)[/C]-1.263200[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.247100[/C]0.337000[/C][C]Trim. Kurtosis (17/120)[/C]-1.278900[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.252500[/C]0.332000[/C][C]Trim. Kurtosis (18/120)[/C]-1.279200[/C]0.013600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.253200[/C]0.337000[/C][C]Trim. Kurtosis (19/120)[/C]-1.280700[/C]0.014600[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.256400[/C]0.337000[/C][C]Trim. Kurtosis (20/120)[/C]-1.281000[/C]0.016000[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.260400[/C]0.337000[/C][C]Trim. Kurtosis (21/120)[/C]-1.281400[/C]0.016800[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.257400[/C]0.347200[/C][C]Trim. Kurtosis (22/120)[/C]-1.285500[/C]0.018200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.263100[/C]0.342200[/C][C]Trim. Kurtosis (23/120)[/C]-1.274600[/C]0.020400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.268600[/C]0.342200[/C][C]Trim. Kurtosis (24/120)[/C]-1.268100[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.276500[/C]0.332000[/C][C]Trim. Kurtosis (25/120)[/C]-1.256300[/C]0.026400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.281300[/C]0.332000[/C][C]Trim. Kurtosis (26/120)[/C]-1.246600[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.284200[/C]0.332000[/C][C]Trim. Kurtosis (27/120)[/C]-1.238600[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.285400[/C]0.337000[/C][C]Trim. Kurtosis (28/120)[/C]-1.240500[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.282600[/C]0.352400[/C][C]Trim. Kurtosis (29/120)[/C]-1.246000[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.276200[/C]0.368200[/C][C]Trim. Kurtosis (30/120)[/C]-1.254800[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.282800[/C]0.362800[/C][C]Trim. Kurtosis (31/120)[/C]-1.242800[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.290500[/C]0.357600[/C][C]Trim. Kurtosis (32/120)[/C]-1.225800[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.292200[/C]0.362800[/C][C]Trim. Kurtosis (33/120)[/C]-1.217500[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.297100[/C]0.368200[/C][C]Trim. Kurtosis (34/120)[/C]-1.205100[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.299200[/C]0.373400[/C][C]Trim. Kurtosis (35/120)[/C]-1.184300[/C]0.073400[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.296700[/C]0.384400[/C][C]Trim. Kurtosis (36/120)[/C]-1.176700[/C]0.080200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.290500[/C]0.406600[/C][C]Trim. Kurtosis (37/120)[/C]-1.188400[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.273400[/C]0.441200[/C][C]Trim. Kurtosis (38/120)[/C]-1.235100[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.237200[/C]0.515600[/C][C]Trim. Kurtosis (39/120)[/C]-1.314900[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.215300[/C]0.562000[/C][C]Trim. Kurtosis (40/120)[/C]-1.392700[/C]0.056200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103008&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103008&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)0.4161000.058800Trim. Kurtosis (0/120)0.4180000.337000
Trim. Skewness (1/120)0.3793000.087200Trim. Kurtosis (1/120)0.2109000.631200
Trim. Skewness (2/120)0.3329000.136200Trim. Kurtosis (2/120)-0.1081000.802600
Trim. Skewness (3/120)0.2765000.218600Trim. Kurtosis (3/120)-0.3748000.400800
Trim. Skewness (4/120)0.2789000.218600Trim. Kurtosis (4/120)-0.5408000.230200
Trim. Skewness (5/120)0.2705000.238000Trim. Kurtosis (5/120)-0.7021000.123600
Trim. Skewness (6/120)0.2647000.254200Trim. Kurtosis (6/120)-0.7743000.093000
Trim. Skewness (7/120)0.2557000.275800Trim. Kurtosis (7/120)-0.8256000.075000
Trim. Skewness (8/120)0.2429000.303000Trim. Kurtosis (8/120)-0.9092000.052400
Trim. Skewness (9/120)0.2438000.307800Trim. Kurtosis (9/120)-0.9552000.043400
Trim. Skewness (10/120)0.2521000.293800Trim. Kurtosis (10/120)-1.0121000.034000
Trim. Skewness (11/120)0.2521000.298400Trim. Kurtosis (11/120)-1.0946000.023200
Trim. Skewness (12/120)0.2267000.352400Trim. Kurtosis (12/120)-1.1854000.014600
Trim. Skewness (13/120)0.2291000.352400Trim. Kurtosis (13/120)-1.2192000.013200
Trim. Skewness (14/120)0.2368000.342200Trim. Kurtosis (14/120)-1.2336000.013200
Trim. Skewness (15/120)0.2471000.327000Trim. Kurtosis (15/120)-1.2494000.012800
Trim. Skewness (16/120)0.2505000.327000Trim. Kurtosis (16/120)-1.2632000.012800
Trim. Skewness (17/120)0.2471000.337000Trim. Kurtosis (17/120)-1.2789000.012800
Trim. Skewness (18/120)0.2525000.332000Trim. Kurtosis (18/120)-1.2792000.013600
Trim. Skewness (19/120)0.2532000.337000Trim. Kurtosis (19/120)-1.2807000.014600
Trim. Skewness (20/120)0.2564000.337000Trim. Kurtosis (20/120)-1.2810000.016000
Trim. Skewness (21/120)0.2604000.337000Trim. Kurtosis (21/120)-1.2814000.016800
Trim. Skewness (22/120)0.2574000.347200Trim. Kurtosis (22/120)-1.2855000.018200
Trim. Skewness (23/120)0.2631000.342200Trim. Kurtosis (23/120)-1.2746000.020400
Trim. Skewness (24/120)0.2686000.342200Trim. Kurtosis (24/120)-1.2681000.023200
Trim. Skewness (25/120)0.2765000.332000Trim. Kurtosis (25/120)-1.2563000.026400
Trim. Skewness (26/120)0.2813000.332000Trim. Kurtosis (26/120)-1.2466000.029200
Trim. Skewness (27/120)0.2842000.332000Trim. Kurtosis (27/120)-1.2386000.033200
Trim. Skewness (28/120)0.2854000.337000Trim. Kurtosis (28/120)-1.2405000.034800
Trim. Skewness (29/120)0.2826000.352400Trim. Kurtosis (29/120)-1.2460000.037600
Trim. Skewness (30/120)0.2762000.368200Trim. Kurtosis (30/120)-1.2548000.038400
Trim. Skewness (31/120)0.2828000.362800Trim. Kurtosis (31/120)-1.2428000.043400
Trim. Skewness (32/120)0.2905000.357600Trim. Kurtosis (32/120)-1.2258000.050000
Trim. Skewness (33/120)0.2922000.362800Trim. Kurtosis (33/120)-1.2175000.056200
Trim. Skewness (34/120)0.2971000.368200Trim. Kurtosis (34/120)-1.2051000.062800
Trim. Skewness (35/120)0.2992000.373400Trim. Kurtosis (35/120)-1.1843000.073400
Trim. Skewness (36/120)0.2967000.384400Trim. Kurtosis (36/120)-1.1767000.080200
Trim. Skewness (37/120)0.2905000.406600Trim. Kurtosis (37/120)-1.1884000.083600
Trim. Skewness (38/120)0.2734000.441200Trim. Kurtosis (38/120)-1.2351000.076800
Trim. Skewness (39/120)0.2372000.515600Trim. Kurtosis (39/120)-1.3149000.065800
Trim. Skewness (40/120)0.2153000.562000Trim. Kurtosis (40/120)-1.3927000.056200


Figures (Output of Computation)

Input Parameters & R Code

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