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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 18:11:36 +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/t1291054198s1llni67tk4k7s1.htm/, Retrieved Mon, 29 Apr 2024 11:02:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103010, Retrieved Mon, 29 Apr 2024 11:02:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact122

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] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                    [Skewness and Kurtosis] [] [2010-11-29 18:11:36] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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 
5225.069237
5289.851087
5605.310689
4751.553815
5397.662664
5422.976587
5845.269776
5172.829777
5004.217793
4946.968331
5176.930502
5054.644986
5278.344741
5175.435086
5092.552319
5389.49528
5823.803012
4888.874101
4421.589837
5154.392494
4835.837469
5353.049354
5790.831038
4933.550645
5030.303247
4836.313697
5262.529054
5212.203086
5639.399352
5394.176777
5346.734808
4780.624281
5030.320589
5239.877589
5498.691753
4532.775319
5705.463611
5591.239251
4941.656211
5199.408072
5022.898742
4871.3995
4813.480506
5254.394415
4289.628852
4805.172894
5644.026663
5346.019091
4830.503729
4824.942787
5172.002404
4748.580103
4908.775732
4883.249485
4705.534698
5344.87043
5686.582864
5555.553123
4706.695722
5105.912279
5028.0025
5528.005097
4823.655422
5653.73704
4887.655097
5313.455929
5162.675639
5412.103142
4674.652163
5623.474641
5354.309745
5652.314004
4890.00612
5484.994458
5312.854953
4606.970869
5640.499292
5420.686522
5300.529208
5168.116333
4969.220985
4826.988776
5231.645351
5302.495251
5661.762371
4534.042679
5022.771269
5288.903907
4661.521894
5569.617648
5374.955908
5171.542727
5385.294688
5709.674784
5001.983723
5535.702012
4846.058354
5516.913454
4973.64249
4806.42766
5272.272512
4934.786052
5350.363738
5626.921848
5386.405919
4923.912639
5127.34315
5393.303491
4853.73528
4822.038218
5429.783883
5494.279874
4966.392004
4899.336051
5427.623917
4854.745544
4821.848174
4725.850041
5497.061672
5343.009497

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-3.70801e+6FISHER 4th Cent. Mom.2.81422e+10
FISHER beta 10.010159FISHER beta 22.299988
FISHER gamma 1-0.100790FISHER gamma 2-0.700012
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.450746FISHER Test 2-1.565275
FISHER Test 1 Probability0.645600FISHER Test 2 Probability0.116400
Pearson 2-0.064979
Yule using Quartile definition:Weighted Average at Xnp-0.131464
Yule using Quartile definition:Weighted Average at X(n+1)p-0.107414
Yule using Quartile definition:Empirical Distribution Function-0.131464
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.114626
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.121949
Yule using Quartile definition:Closest Observation-0.131464
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.121949
Yule using Quartile definition:MS Excel (old versions)-0.100310
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.102070Kurtosis (small sample)-0.678363
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.462110TEST 1 (small sample)-1.547606
TEST 1 Prob. (small sample)0.638400TEST 1 Prob. (small sample)0.121200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-3.70801e+6 & FISHER 4th Cent. Mom.2.81422e+10 \tabularnewline FISHER beta 10.010159 & FISHER beta 22.299988 \tabularnewline FISHER gamma 1-0.100790 & FISHER gamma 2-0.700012 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-0.450746 & FISHER Test 2-1.565275 \tabularnewline FISHER Test 1 Probability0.645600 & FISHER Test 2 Probability0.116400 \tabularnewline Pearson 2-0.064979 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.131464 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.107414 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.131464 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.114626 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.121949 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.131464 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.121949 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.100310 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.102070 & Kurtosis (small sample)-0.678363 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-0.462110 & TEST 1 (small sample)-1.547606 \tabularnewline TEST 1 Prob. (small sample)0.638400 & TEST 1 Prob. (small sample)0.121200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103010&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]-3.70801e+6[/C][C]FISHER 4th Cent. Mom.[/C]2.81422e+10[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.010159[/C][C]FISHER beta 2[/C]2.299988[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.100790[/C][C]FISHER gamma 2[/C]-0.700012[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.223607[/C][C]FISHER gamma 2 (S.E.)[/C]0.447214[/C][/ROW] [ROW][C]FISHER Test 1[/C]-0.450746[/C][C]FISHER Test 2[/C]-1.565275[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.645600[/C][C]FISHER Test 2 Probability[/C]0.116400[/C][/ROW] [ROW][C]Pearson 2[/C]-0.064979[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.131464[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.107414[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.131464[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.114626[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.121949[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.131464[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.121949[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.100310[/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]-0.102070[/C][C]Kurtosis (small sample)[/C]-0.678363[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.220879[/C][C]Kurtosis S.E. (small sample)[/C]0.438331[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]-0.462110[/C][C]TEST 1 (small sample)[/C]-1.547606[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.638400[/C][C]TEST 1 Prob. (small sample)[/C]0.121200[/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=103010&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103010&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.-3.70801e+6FISHER 4th Cent. Mom.2.81422e+10
FISHER beta 10.010159FISHER beta 22.299988
FISHER gamma 1-0.100790FISHER gamma 2-0.700012
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.450746FISHER Test 2-1.565275
FISHER Test 1 Probability0.645600FISHER Test 2 Probability0.116400
Pearson 2-0.064979
Yule using Quartile definition:Weighted Average at Xnp-0.131464
Yule using Quartile definition:Weighted Average at X(n+1)p-0.107414
Yule using Quartile definition:Empirical Distribution Function-0.131464
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.114626
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.121949
Yule using Quartile definition:Closest Observation-0.131464
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.121949
Yule using Quartile definition:MS Excel (old versions)-0.100310
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.102070Kurtosis (small sample)-0.678363
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.462110TEST 1 (small sample)-1.547606
TEST 1 Prob. (small sample)0.638400TEST 1 Prob. (small sample)0.121200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.1021000.638400Trim. Kurtosis (0/120)-0.6784000.121200
Trim. Skewness (1/120)-0.0360000.865000Trim. Kurtosis (1/120)-0.8955000.042400
Trim. Skewness (2/120)-0.0066000.976000Trim. Kurtosis (2/120)-1.0239000.021400
Trim. Skewness (3/120)-0.0015000.992000Trim. Kurtosis (3/120)-1.0900000.015000
Trim. Skewness (4/120)0.0266000.904400Trim. Kurtosis (4/120)-1.1488000.011000
Trim. Skewness (5/120)0.0377000.865000Trim. Kurtosis (5/120)-1.1810000.009600
Trim. Skewness (6/120)0.0403000.857200Trim. Kurtosis (6/120)-1.1948000.009400
Trim. Skewness (7/120)0.0458000.841400Trim. Kurtosis (7/120)-1.2040000.009600
Trim. Skewness (8/120)0.0465000.841400Trim. Kurtosis (8/120)-1.2074000.009800
Trim. Skewness (9/120)0.0471000.841400Trim. Kurtosis (9/120)-1.2174000.010200
Trim. Skewness (10/120)0.0448000.849200Trim. Kurtosis (10/120)-1.2260000.010200
Trim. Skewness (11/120)0.0371000.872800Trim. Kurtosis (11/120)-1.2345000.010400
Trim. Skewness (12/120)0.0269000.912400Trim. Kurtosis (12/120)-1.2514000.010200
Trim. Skewness (13/120)0.0113000.960200Trim. Kurtosis (13/120)-1.2634000.010200
Trim. Skewness (14/120)-0.0123000.960200Trim. Kurtosis (14/120)-1.2783000.010200
Trim. Skewness (15/120)-0.0344000.888600Trim. Kurtosis (15/120)-1.2912000.010200
Trim. Skewness (16/120)-0.0575000.818000Trim. Kurtosis (16/120)-1.3033000.010200
Trim. Skewness (17/120)-0.0788000.756600Trim. Kurtosis (17/120)-1.3088000.010800
Trim. Skewness (18/120)-0.0992000.704000Trim. Kurtosis (18/120)-1.3136000.011400
Trim. Skewness (19/120)-0.1162000.660000Trim. Kurtosis (19/120)-1.3138000.012400
Trim. Skewness (20/120)-0.1339000.617000Trim. Kurtosis (20/120)-1.3165000.013200
Trim. Skewness (21/120)-0.1511000.575400Trim. Kurtosis (21/120)-1.3200000.013800
Trim. Skewness (22/120)-0.1648000.548400Trim. Kurtosis (22/120)-1.3200000.015000
Trim. Skewness (23/120)-0.1823000.509200Trim. Kurtosis (23/120)-1.3252000.016000
Trim. Skewness (24/120)-0.2020000.471600Trim. Kurtosis (24/120)-1.3402000.016400
Trim. Skewness (25/120)-0.2248000.429600Trim. Kurtosis (25/120)-1.3569000.016400
Trim. Skewness (26/120)-0.2278000.429600Trim. Kurtosis (26/120)-1.3494000.018200
Trim. Skewness (27/120)-0.2294000.435400Trim. Kurtosis (27/120)-1.3475000.020400
Trim. Skewness (28/120)-0.2355000.429600Trim. Kurtosis (28/120)-1.3380000.023200
Trim. Skewness (29/120)-0.2459000.418000Trim. Kurtosis (29/120)-1.3247000.026400
Trim. Skewness (30/120)-0.2549000.406600Trim. Kurtosis (30/120)-1.3100000.030800
Trim. Skewness (31/120)-0.2571000.412200Trim. Kurtosis (31/120)-1.2954000.035800
Trim. Skewness (32/120)-0.2558000.418000Trim. Kurtosis (32/120)-1.2874000.040400
Trim. Skewness (33/120)-0.2571000.423800Trim. Kurtosis (33/120)-1.2795000.044400
Trim. Skewness (34/120)-0.2599000.429600Trim. Kurtosis (34/120)-1.2704000.050000
Trim. Skewness (35/120)-0.2699000.418000Trim. Kurtosis (35/120)-1.2519000.057400
Trim. Skewness (36/120)-0.2868000.400800Trim. Kurtosis (36/120)-1.2312000.067200
Trim. Skewness (37/120)-0.2967000.395400Trim. Kurtosis (37/120)-1.2157000.076800
Trim. Skewness (38/120)-0.2930000.412200Trim. Kurtosis (38/120)-1.1931000.087200
Trim. Skewness (39/120)-0.2861000.429600Trim. Kurtosis (39/120)-1.1788000.099000
Trim. Skewness (40/120)-0.2924000.429600Trim. Kurtosis (40/120)-1.1382000.118800

\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)-0.1021000.638400 & Trim. Kurtosis (0/120)-0.6784000.121200 \tabularnewline Trim. Skewness (1/120)-0.0360000.865000 & Trim. Kurtosis (1/120)-0.8955000.042400 \tabularnewline Trim. Skewness (2/120)-0.0066000.976000 & Trim. Kurtosis (2/120)-1.0239000.021400 \tabularnewline Trim. Skewness (3/120)-0.0015000.992000 & Trim. Kurtosis (3/120)-1.0900000.015000 \tabularnewline Trim. Skewness (4/120)0.0266000.904400 & Trim. Kurtosis (4/120)-1.1488000.011000 \tabularnewline Trim. Skewness (5/120)0.0377000.865000 & Trim. Kurtosis (5/120)-1.1810000.009600 \tabularnewline Trim. Skewness (6/120)0.0403000.857200 & Trim. Kurtosis (6/120)-1.1948000.009400 \tabularnewline Trim. Skewness (7/120)0.0458000.841400 & Trim. Kurtosis (7/120)-1.2040000.009600 \tabularnewline Trim. Skewness (8/120)0.0465000.841400 & Trim. Kurtosis (8/120)-1.2074000.009800 \tabularnewline Trim. Skewness (9/120)0.0471000.841400 & Trim. Kurtosis (9/120)-1.2174000.010200 \tabularnewline Trim. Skewness (10/120)0.0448000.849200 & Trim. Kurtosis (10/120)-1.2260000.010200 \tabularnewline Trim. Skewness (11/120)0.0371000.872800 & Trim. Kurtosis (11/120)-1.2345000.010400 \tabularnewline Trim. Skewness (12/120)0.0269000.912400 & Trim. Kurtosis (12/120)-1.2514000.010200 \tabularnewline Trim. Skewness (13/120)0.0113000.960200 & Trim. Kurtosis (13/120)-1.2634000.010200 \tabularnewline Trim. Skewness (14/120)-0.0123000.960200 & Trim. Kurtosis (14/120)-1.2783000.010200 \tabularnewline Trim. Skewness (15/120)-0.0344000.888600 & Trim. Kurtosis (15/120)-1.2912000.010200 \tabularnewline Trim. Skewness (16/120)-0.0575000.818000 & Trim. Kurtosis (16/120)-1.3033000.010200 \tabularnewline Trim. Skewness (17/120)-0.0788000.756600 & Trim. Kurtosis (17/120)-1.3088000.010800 \tabularnewline Trim. Skewness (18/120)-0.0992000.704000 & Trim. Kurtosis (18/120)-1.3136000.011400 \tabularnewline Trim. Skewness (19/120)-0.1162000.660000 & Trim. Kurtosis (19/120)-1.3138000.012400 \tabularnewline Trim. Skewness (20/120)-0.1339000.617000 & Trim. Kurtosis (20/120)-1.3165000.013200 \tabularnewline Trim. Skewness (21/120)-0.1511000.575400 & Trim. Kurtosis (21/120)-1.3200000.013800 \tabularnewline Trim. Skewness (22/120)-0.1648000.548400 & Trim. Kurtosis (22/120)-1.3200000.015000 \tabularnewline Trim. Skewness (23/120)-0.1823000.509200 & Trim. Kurtosis (23/120)-1.3252000.016000 \tabularnewline Trim. Skewness (24/120)-0.2020000.471600 & Trim. Kurtosis (24/120)-1.3402000.016400 \tabularnewline Trim. Skewness (25/120)-0.2248000.429600 & Trim. Kurtosis (25/120)-1.3569000.016400 \tabularnewline Trim. Skewness (26/120)-0.2278000.429600 & Trim. Kurtosis (26/120)-1.3494000.018200 \tabularnewline Trim. Skewness (27/120)-0.2294000.435400 & Trim. Kurtosis (27/120)-1.3475000.020400 \tabularnewline Trim. Skewness (28/120)-0.2355000.429600 & Trim. Kurtosis (28/120)-1.3380000.023200 \tabularnewline Trim. Skewness (29/120)-0.2459000.418000 & Trim. Kurtosis (29/120)-1.3247000.026400 \tabularnewline Trim. Skewness (30/120)-0.2549000.406600 & Trim. Kurtosis (30/120)-1.3100000.030800 \tabularnewline Trim. Skewness (31/120)-0.2571000.412200 & Trim. Kurtosis (31/120)-1.2954000.035800 \tabularnewline Trim. Skewness (32/120)-0.2558000.418000 & Trim. Kurtosis (32/120)-1.2874000.040400 \tabularnewline Trim. Skewness (33/120)-0.2571000.423800 & Trim. Kurtosis (33/120)-1.2795000.044400 \tabularnewline Trim. Skewness (34/120)-0.2599000.429600 & Trim. Kurtosis (34/120)-1.2704000.050000 \tabularnewline Trim. Skewness (35/120)-0.2699000.418000 & Trim. Kurtosis (35/120)-1.2519000.057400 \tabularnewline Trim. Skewness (36/120)-0.2868000.400800 & Trim. Kurtosis (36/120)-1.2312000.067200 \tabularnewline Trim. Skewness (37/120)-0.2967000.395400 & Trim. Kurtosis (37/120)-1.2157000.076800 \tabularnewline Trim. Skewness (38/120)-0.2930000.412200 & Trim. Kurtosis (38/120)-1.1931000.087200 \tabularnewline Trim. Skewness (39/120)-0.2861000.429600 & Trim. Kurtosis (39/120)-1.1788000.099000 \tabularnewline Trim. Skewness (40/120)-0.2924000.429600 & Trim. Kurtosis (40/120)-1.1382000.118800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103010&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]-0.102100[/C]0.638400[/C][C]Trim. Kurtosis (0/120)[/C]-0.678400[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.036000[/C]0.865000[/C][C]Trim. Kurtosis (1/120)[/C]-0.895500[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.006600[/C]0.976000[/C][C]Trim. Kurtosis (2/120)[/C]-1.023900[/C]0.021400[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.001500[/C]0.992000[/C][C]Trim. Kurtosis (3/120)[/C]-1.090000[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.026600[/C]0.904400[/C][C]Trim. Kurtosis (4/120)[/C]-1.148800[/C]0.011000[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.037700[/C]0.865000[/C][C]Trim. Kurtosis (5/120)[/C]-1.181000[/C]0.009600[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.040300[/C]0.857200[/C][C]Trim. Kurtosis (6/120)[/C]-1.194800[/C]0.009400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.045800[/C]0.841400[/C][C]Trim. Kurtosis (7/120)[/C]-1.204000[/C]0.009600[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.046500[/C]0.841400[/C][C]Trim. Kurtosis (8/120)[/C]-1.207400[/C]0.009800[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.047100[/C]0.841400[/C][C]Trim. Kurtosis (9/120)[/C]-1.217400[/C]0.010200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.044800[/C]0.849200[/C][C]Trim. Kurtosis (10/120)[/C]-1.226000[/C]0.010200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.037100[/C]0.872800[/C][C]Trim. Kurtosis (11/120)[/C]-1.234500[/C]0.010400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.026900[/C]0.912400[/C][C]Trim. Kurtosis (12/120)[/C]-1.251400[/C]0.010200[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.011300[/C]0.960200[/C][C]Trim. Kurtosis (13/120)[/C]-1.263400[/C]0.010200[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.012300[/C]0.960200[/C][C]Trim. Kurtosis (14/120)[/C]-1.278300[/C]0.010200[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.034400[/C]0.888600[/C][C]Trim. Kurtosis (15/120)[/C]-1.291200[/C]0.010200[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.057500[/C]0.818000[/C][C]Trim. Kurtosis (16/120)[/C]-1.303300[/C]0.010200[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.078800[/C]0.756600[/C][C]Trim. Kurtosis (17/120)[/C]-1.308800[/C]0.010800[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.099200[/C]0.704000[/C][C]Trim. Kurtosis (18/120)[/C]-1.313600[/C]0.011400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.116200[/C]0.660000[/C][C]Trim. Kurtosis (19/120)[/C]-1.313800[/C]0.012400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.133900[/C]0.617000[/C][C]Trim. Kurtosis (20/120)[/C]-1.316500[/C]0.013200[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.151100[/C]0.575400[/C][C]Trim. Kurtosis (21/120)[/C]-1.320000[/C]0.013800[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.164800[/C]0.548400[/C][C]Trim. Kurtosis (22/120)[/C]-1.320000[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.182300[/C]0.509200[/C][C]Trim. Kurtosis (23/120)[/C]-1.325200[/C]0.016000[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.202000[/C]0.471600[/C][C]Trim. Kurtosis (24/120)[/C]-1.340200[/C]0.016400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.224800[/C]0.429600[/C][C]Trim. Kurtosis (25/120)[/C]-1.356900[/C]0.016400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.227800[/C]0.429600[/C][C]Trim. Kurtosis (26/120)[/C]-1.349400[/C]0.018200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.229400[/C]0.435400[/C][C]Trim. Kurtosis (27/120)[/C]-1.347500[/C]0.020400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.235500[/C]0.429600[/C][C]Trim. Kurtosis (28/120)[/C]-1.338000[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.245900[/C]0.418000[/C][C]Trim. Kurtosis (29/120)[/C]-1.324700[/C]0.026400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.254900[/C]0.406600[/C][C]Trim. Kurtosis (30/120)[/C]-1.310000[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.257100[/C]0.412200[/C][C]Trim. Kurtosis (31/120)[/C]-1.295400[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.255800[/C]0.418000[/C][C]Trim. Kurtosis (32/120)[/C]-1.287400[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.257100[/C]0.423800[/C][C]Trim. Kurtosis (33/120)[/C]-1.279500[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.259900[/C]0.429600[/C][C]Trim. Kurtosis (34/120)[/C]-1.270400[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.269900[/C]0.418000[/C][C]Trim. Kurtosis (35/120)[/C]-1.251900[/C]0.057400[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.286800[/C]0.400800[/C][C]Trim. Kurtosis (36/120)[/C]-1.231200[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.296700[/C]0.395400[/C][C]Trim. Kurtosis (37/120)[/C]-1.215700[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.293000[/C]0.412200[/C][C]Trim. Kurtosis (38/120)[/C]-1.193100[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.286100[/C]0.429600[/C][C]Trim. Kurtosis (39/120)[/C]-1.178800[/C]0.099000[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.292400[/C]0.429600[/C][C]Trim. Kurtosis (40/120)[/C]-1.138200[/C]0.118800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103010&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103010&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)-0.1021000.638400Trim. Kurtosis (0/120)-0.6784000.121200
Trim. Skewness (1/120)-0.0360000.865000Trim. Kurtosis (1/120)-0.8955000.042400
Trim. Skewness (2/120)-0.0066000.976000Trim. Kurtosis (2/120)-1.0239000.021400
Trim. Skewness (3/120)-0.0015000.992000Trim. Kurtosis (3/120)-1.0900000.015000
Trim. Skewness (4/120)0.0266000.904400Trim. Kurtosis (4/120)-1.1488000.011000
Trim. Skewness (5/120)0.0377000.865000Trim. Kurtosis (5/120)-1.1810000.009600
Trim. Skewness (6/120)0.0403000.857200Trim. Kurtosis (6/120)-1.1948000.009400
Trim. Skewness (7/120)0.0458000.841400Trim. Kurtosis (7/120)-1.2040000.009600
Trim. Skewness (8/120)0.0465000.841400Trim. Kurtosis (8/120)-1.2074000.009800
Trim. Skewness (9/120)0.0471000.841400Trim. Kurtosis (9/120)-1.2174000.010200
Trim. Skewness (10/120)0.0448000.849200Trim. Kurtosis (10/120)-1.2260000.010200
Trim. Skewness (11/120)0.0371000.872800Trim. Kurtosis (11/120)-1.2345000.010400
Trim. Skewness (12/120)0.0269000.912400Trim. Kurtosis (12/120)-1.2514000.010200
Trim. Skewness (13/120)0.0113000.960200Trim. Kurtosis (13/120)-1.2634000.010200
Trim. Skewness (14/120)-0.0123000.960200Trim. Kurtosis (14/120)-1.2783000.010200
Trim. Skewness (15/120)-0.0344000.888600Trim. Kurtosis (15/120)-1.2912000.010200
Trim. Skewness (16/120)-0.0575000.818000Trim. Kurtosis (16/120)-1.3033000.010200
Trim. Skewness (17/120)-0.0788000.756600Trim. Kurtosis (17/120)-1.3088000.010800
Trim. Skewness (18/120)-0.0992000.704000Trim. Kurtosis (18/120)-1.3136000.011400
Trim. Skewness (19/120)-0.1162000.660000Trim. Kurtosis (19/120)-1.3138000.012400
Trim. Skewness (20/120)-0.1339000.617000Trim. Kurtosis (20/120)-1.3165000.013200
Trim. Skewness (21/120)-0.1511000.575400Trim. Kurtosis (21/120)-1.3200000.013800
Trim. Skewness (22/120)-0.1648000.548400Trim. Kurtosis (22/120)-1.3200000.015000
Trim. Skewness (23/120)-0.1823000.509200Trim. Kurtosis (23/120)-1.3252000.016000
Trim. Skewness (24/120)-0.2020000.471600Trim. Kurtosis (24/120)-1.3402000.016400
Trim. Skewness (25/120)-0.2248000.429600Trim. Kurtosis (25/120)-1.3569000.016400
Trim. Skewness (26/120)-0.2278000.429600Trim. Kurtosis (26/120)-1.3494000.018200
Trim. Skewness (27/120)-0.2294000.435400Trim. Kurtosis (27/120)-1.3475000.020400
Trim. Skewness (28/120)-0.2355000.429600Trim. Kurtosis (28/120)-1.3380000.023200
Trim. Skewness (29/120)-0.2459000.418000Trim. Kurtosis (29/120)-1.3247000.026400
Trim. Skewness (30/120)-0.2549000.406600Trim. Kurtosis (30/120)-1.3100000.030800
Trim. Skewness (31/120)-0.2571000.412200Trim. Kurtosis (31/120)-1.2954000.035800
Trim. Skewness (32/120)-0.2558000.418000Trim. Kurtosis (32/120)-1.2874000.040400
Trim. Skewness (33/120)-0.2571000.423800Trim. Kurtosis (33/120)-1.2795000.044400
Trim. Skewness (34/120)-0.2599000.429600Trim. Kurtosis (34/120)-1.2704000.050000
Trim. Skewness (35/120)-0.2699000.418000Trim. Kurtosis (35/120)-1.2519000.057400
Trim. Skewness (36/120)-0.2868000.400800Trim. Kurtosis (36/120)-1.2312000.067200
Trim. Skewness (37/120)-0.2967000.395400Trim. Kurtosis (37/120)-1.2157000.076800
Trim. Skewness (38/120)-0.2930000.412200Trim. Kurtosis (38/120)-1.1931000.087200
Trim. Skewness (39/120)-0.2861000.429600Trim. Kurtosis (39/120)-1.1788000.099000
Trim. Skewness (40/120)-0.2924000.429600Trim. Kurtosis (40/120)-1.1382000.118800


Figures (Output of Computation)

Input Parameters & R Code

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