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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 18:03:42 +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/t1291053716aun16h4hc2pkg6t.htm/, Retrieved Mon, 29 Apr 2024 13:15:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103002, Retrieved Mon, 29 Apr 2024 13:15:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact113

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    D                            [Skewness and Kurtosis] [] [2010-11-29 18:05:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                              [Skewness and Kurtosis] [] [2010-11-29 18:07:05] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                [Skewness and Kurtosis] [] [2010-11-29 18:08:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                  [Skewness and Kurtosis] [] [2010-11-29 18:10:34] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                    [Skewness and Kurtosis] [] [2010-11-29 18:11:36] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                      [Skewness and Kurtosis] [] [2010-11-29 18:13:28] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                        [Skewness and Kurtosis] [] [2010-11-29 18:15:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                          [Skewness and Kurtosis] [] [2010-11-29 18:21:56] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                            [Skewness and Kurtosis] [] [2010-11-29 18:24:10] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                              [Skewness and Kurtosis] [] [2010-11-29 18:26:31] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                [Skewness and Kurtosis] [] [2010-11-29 18:28:06] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                  [Skewness and Kurtosis] [] [2010-11-29 18:29:55] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                    [Skewness and Kurtosis] [] [2010-11-29 18:31:43] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                      [Skewness and Kurtosis] [] [2010-11-29 19:17:23] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                        [Skewness and Kurtosis] [] [2010-11-29 19:19:08] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                          [Skewness and Kurtosis] [] [2010-11-29 19:20:37] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                            [Skewness and Kurtosis] [] [2010-11-29 19:23:46] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                              [Skewness and Kurtosis] [] [2010-11-29 19:25:18] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                [Skewness and Kurtosis] [] [2010-11-29 19:26:45] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                  [Skewness and Kurtosis] [] [2010-11-29 19:28:13] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                    [Skewness and Kurtosis] [] [2010-11-29 19:30:05] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                      [Skewness and Kurtosis] [] [2010-11-29 19:31:18] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                        [Skewness and Kurtosis] [] [2010-11-29 19:32:50] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                          [Skewness and Kurtosis] [] [2010-11-29 19:33:58] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                            [Skewness and Kurtosis] [] [2010-11-29 19:35:47] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                              [Skewness and Kurtosis] [] [2010-11-29 19:37:35] [7d64bf19f34ddcdf2626356c9d5bd60d]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4582.051378
4477.157972
4518.157547
4656.407613
4463.512907
4415.309394
4471.375475
4573.370525
4110.547564
4219.445683
4772.170455
4785.749011
5094.891241
4670.601185
4948.129542
4233.897073
4550.987894
4902.098714
4363.403534
4443.506038
4587.293236
4511.504889
4138.643055
5349.762001
5162.104601
4429.613926
4830.677975
4848.508206
4580.264296
4084.04898
4576.431794
4319.911564
4705.390145
4668.591175
4740.386213
4033.098749
4636.980202
4763.796346
4687.715581
4220.399546
4619.14232
4734.37684
4361.164585
4672.795452
4129.50831
5407.06824
4401.590768
4290.691207
4218.126303
4874.80947
4742.943067
3870.957362
4861.46302
5190.429557
4319.658825
3739.211133
4659.104278
3923.956889
3752.156092
4212.39518
5014.626907
4268.841458
4141.155019
4664.305601
4782.543726
4437.74895
4881.110855
4491.936146
4297.018089
4356.673263
5038.150032
4861.376776
4386.283064
4387.959961
4535.273633
4996.517348
4216.838166
5515.116326
4088.86073
4441.64844
5339.231229
4465.350163
4610.303603
4841.12648
3949.889855
4114.010337
4698.063284
5129.395125
4014.075317
4834.846368
4657.500638
3968.387363
4735.551722
4057.154601
4119.795281
4251.703561
4878.979398
4649.616058
4033.799634
4903.73495
4708.153558
4426.908725
4745.19168
4667.489895
3857.564597
4500.345279
3930.866452
4144.426499
4598.411971
4345.689283
4760.800286
4709.870597
4290.184424
3938.773303
4433.10415
4499.384587
4873.954462
3890.509651
4622.623623
4716.956665

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.6.20682e+6FISHER 4th Cent. Mom.4.92312e+10
FISHER beta 10.017083FISHER beta 22.862852
FISHER gamma 10.130704FISHER gamma 2-0.137148
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.584525FISHER Test 2-0.306671
FISHER Test 1 Probability0.555200FISHER Test 2 Probability0.756600
Pearson 2-0.161458
Yule using Quartile definition:Weighted Average at Xnp-0.186497
Yule using Quartile definition:Weighted Average at X(n+1)p-0.175270
Yule using Quartile definition:Empirical Distribution Function-0.186497
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.169331
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.163273
Yule using Quartile definition:Closest Observation-0.186497
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.163273
Yule using Quartile definition:MS Excel (old versions)-0.181091
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.132364Kurtosis (small sample)-0.091322
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.599262TEST 1 (small sample)-0.208340
TEST 1 Prob. (small sample)0.548400TEST 1 Prob. (small sample)0.833600
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.6.20682e+6 & FISHER 4th Cent. Mom.4.92312e+10 \tabularnewline FISHER beta 10.017083 & FISHER beta 22.862852 \tabularnewline FISHER gamma 10.130704 & FISHER gamma 2-0.137148 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 10.584525 & FISHER Test 2-0.306671 \tabularnewline FISHER Test 1 Probability0.555200 & FISHER Test 2 Probability0.756600 \tabularnewline Pearson 2-0.161458 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.186497 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.175270 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.186497 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.169331 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.163273 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.186497 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.163273 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.181091 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.132364 & Kurtosis (small sample)-0.091322 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)0.599262 & TEST 1 (small sample)-0.208340 \tabularnewline TEST 1 Prob. (small sample)0.548400 & TEST 1 Prob. (small sample)0.833600 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103002&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]6.20682e+6[/C][C]FISHER 4th Cent. Mom.[/C]4.92312e+10[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.017083[/C][C]FISHER beta 2[/C]2.862852[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.130704[/C][C]FISHER gamma 2[/C]-0.137148[/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]0.584525[/C][C]FISHER Test 2[/C]-0.306671[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.555200[/C][C]FISHER Test 2 Probability[/C]0.756600[/C][/ROW] [ROW][C]Pearson 2[/C]-0.161458[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.186497[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.175270[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.186497[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.169331[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.163273[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.186497[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.163273[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.181091[/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]0.132364[/C][C]Kurtosis (small sample)[/C]-0.091322[/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]0.599262[/C][C]TEST 1 (small sample)[/C]-0.208340[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.548400[/C][C]TEST 1 Prob. (small sample)[/C]0.833600[/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=103002&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103002&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.6.20682e+6FISHER 4th Cent. Mom.4.92312e+10
FISHER beta 10.017083FISHER beta 22.862852
FISHER gamma 10.130704FISHER gamma 2-0.137148
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.584525FISHER Test 2-0.306671
FISHER Test 1 Probability0.555200FISHER Test 2 Probability0.756600
Pearson 2-0.161458
Yule using Quartile definition:Weighted Average at Xnp-0.186497
Yule using Quartile definition:Weighted Average at X(n+1)p-0.175270
Yule using Quartile definition:Empirical Distribution Function-0.186497
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.169331
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.163273
Yule using Quartile definition:Closest Observation-0.186497
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.163273
Yule using Quartile definition:MS Excel (old versions)-0.181091
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.132364Kurtosis (small sample)-0.091322
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.599262TEST 1 (small sample)-0.208340
TEST 1 Prob. (small sample)0.548400TEST 1 Prob. (small sample)0.833600
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.1324000.548400Trim. Kurtosis (0/120)-0.0913000.833600
Trim. Skewness (1/120)0.0677000.756600Trim. Kurtosis (1/120)-0.2658000.541800
Trim. Skewness (2/120)0.0305000.888600Trim. Kurtosis (2/120)-0.4015000.362800
Trim. Skewness (3/120)-0.0272000.896600Trim. Kurtosis (3/120)-0.4986000.267000
Trim. Skewness (4/120)-0.1034000.645600Trim. Kurtosis (4/120)-0.6546000.147000
Trim. Skewness (5/120)-0.1323000.562000Trim. Kurtosis (5/120)-0.7042000.121200
Trim. Skewness (6/120)-0.1666000.471600Trim. Kurtosis (6/120)-0.7500000.103200
Trim. Skewness (7/120)-0.1972000.395400Trim. Kurtosis (7/120)-0.8010000.083600
Trim. Skewness (8/120)-0.2220000.347200Trim. Kurtosis (8/120)-0.8570000.067200
Trim. Skewness (9/120)-0.2313000.332000Trim. Kurtosis (9/120)-0.9012000.056200
Trim. Skewness (10/120)-0.2390000.322200Trim. Kurtosis (10/120)-0.9478000.046600
Trim. Skewness (11/120)-0.2568000.289200Trim. Kurtosis (11/120)-0.9764000.042400
Trim. Skewness (12/120)-0.2647000.280200Trim. Kurtosis (12/120)-0.9869000.042400
Trim. Skewness (13/120)-0.2576000.298400Trim. Kurtosis (13/120)-0.9971000.042400
Trim. Skewness (14/120)-0.2558000.307800Trim. Kurtosis (14/120)-1.0025000.043400
Trim. Skewness (15/120)-0.2552000.312400Trim. Kurtosis (15/120)-0.9936000.047800
Trim. Skewness (16/120)-0.2539000.322200Trim. Kurtosis (16/120)-0.9903000.051200
Trim. Skewness (17/120)-0.2579000.317400Trim. Kurtosis (17/120)-0.9799000.056200
Trim. Skewness (18/120)-0.2622000.317400Trim. Kurtosis (18/120)-0.9774000.058800
Trim. Skewness (19/120)-0.2626000.322200Trim. Kurtosis (19/120)-0.9791000.061400
Trim. Skewness (20/120)-0.2658000.322200Trim. Kurtosis (20/120)-0.9889000.062800
Trim. Skewness (21/120)-0.2658000.327000Trim. Kurtosis (21/120)-1.0034000.061400
Trim. Skewness (22/120)-0.2601000.342200Trim. Kurtosis (22/120)-1.0382000.056200
Trim. Skewness (23/120)-0.2474000.373400Trim. Kurtosis (23/120)-1.1046000.044400
Trim. Skewness (24/120)-0.2718000.332000Trim. Kurtosis (24/120)-1.1094000.046600
Trim. Skewness (25/120)-0.2752000.337000Trim. Kurtosis (25/120)-1.0958000.052400
Trim. Skewness (26/120)-0.2759000.342200Trim. Kurtosis (26/120)-1.0913000.056200
Trim. Skewness (27/120)-0.2682000.362800Trim. Kurtosis (27/120)-1.0982000.058800
Trim. Skewness (28/120)-0.2494000.400800Trim. Kurtosis (28/120)-1.1267000.056200
Trim. Skewness (29/120)-0.2311000.441200Trim. Kurtosis (29/120)-1.1615000.052400
Trim. Skewness (30/120)-0.2098000.496400Trim. Kurtosis (30/120)-1.1857000.051200
Trim. Skewness (31/120)-0.1937000.535200Trim. Kurtosis (31/120)-1.2037000.051200
Trim. Skewness (32/120)-0.1887000.548400Trim. Kurtosis (32/120)-1.2049000.054800
Trim. Skewness (33/120)-0.1745000.589200Trim. Kurtosis (33/120)-1.2278000.053600
Trim. Skewness (34/120)-0.1574000.631200Trim. Kurtosis (34/120)-1.2753000.048800
Trim. Skewness (35/120)-0.1429000.667200Trim. Kurtosis (35/120)-1.2892000.051200
Trim. Skewness (36/120)-0.1115000.741400Trim. Kurtosis (36/120)-1.3341000.047800
Trim. Skewness (37/120)-0.1018000.764200Trim. Kurtosis (37/120)-1.3462000.050000
Trim. Skewness (38/120)-0.0980000.779400Trim. Kurtosis (38/120)-1.3583000.052400
Trim. Skewness (39/120)-0.0866000.810400Trim. Kurtosis (39/120)-1.3824000.053600
Trim. Skewness (40/120)-0.0550000.880800Trim. Kurtosis (40/120)-1.4318000.050000

\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)0.1324000.548400 & Trim. Kurtosis (0/120)-0.0913000.833600 \tabularnewline Trim. Skewness (1/120)0.0677000.756600 & Trim. Kurtosis (1/120)-0.2658000.541800 \tabularnewline Trim. Skewness (2/120)0.0305000.888600 & Trim. Kurtosis (2/120)-0.4015000.362800 \tabularnewline Trim. Skewness (3/120)-0.0272000.896600 & Trim. Kurtosis (3/120)-0.4986000.267000 \tabularnewline Trim. Skewness (4/120)-0.1034000.645600 & Trim. Kurtosis (4/120)-0.6546000.147000 \tabularnewline Trim. Skewness (5/120)-0.1323000.562000 & Trim. Kurtosis (5/120)-0.7042000.121200 \tabularnewline Trim. Skewness (6/120)-0.1666000.471600 & Trim. Kurtosis (6/120)-0.7500000.103200 \tabularnewline Trim. Skewness (7/120)-0.1972000.395400 & Trim. Kurtosis (7/120)-0.8010000.083600 \tabularnewline Trim. Skewness (8/120)-0.2220000.347200 & Trim. Kurtosis (8/120)-0.8570000.067200 \tabularnewline Trim. Skewness (9/120)-0.2313000.332000 & Trim. Kurtosis (9/120)-0.9012000.056200 \tabularnewline Trim. Skewness (10/120)-0.2390000.322200 & Trim. Kurtosis (10/120)-0.9478000.046600 \tabularnewline Trim. Skewness (11/120)-0.2568000.289200 & Trim. Kurtosis (11/120)-0.9764000.042400 \tabularnewline Trim. Skewness (12/120)-0.2647000.280200 & Trim. Kurtosis (12/120)-0.9869000.042400 \tabularnewline Trim. Skewness (13/120)-0.2576000.298400 & Trim. Kurtosis (13/120)-0.9971000.042400 \tabularnewline Trim. Skewness (14/120)-0.2558000.307800 & Trim. Kurtosis (14/120)-1.0025000.043400 \tabularnewline Trim. Skewness (15/120)-0.2552000.312400 & Trim. Kurtosis (15/120)-0.9936000.047800 \tabularnewline Trim. Skewness (16/120)-0.2539000.322200 & Trim. Kurtosis (16/120)-0.9903000.051200 \tabularnewline Trim. Skewness (17/120)-0.2579000.317400 & Trim. Kurtosis (17/120)-0.9799000.056200 \tabularnewline Trim. Skewness (18/120)-0.2622000.317400 & Trim. Kurtosis (18/120)-0.9774000.058800 \tabularnewline Trim. Skewness (19/120)-0.2626000.322200 & Trim. Kurtosis (19/120)-0.9791000.061400 \tabularnewline Trim. Skewness (20/120)-0.2658000.322200 & Trim. Kurtosis (20/120)-0.9889000.062800 \tabularnewline Trim. Skewness (21/120)-0.2658000.327000 & Trim. Kurtosis (21/120)-1.0034000.061400 \tabularnewline Trim. Skewness (22/120)-0.2601000.342200 & Trim. Kurtosis (22/120)-1.0382000.056200 \tabularnewline Trim. Skewness (23/120)-0.2474000.373400 & Trim. Kurtosis (23/120)-1.1046000.044400 \tabularnewline Trim. Skewness (24/120)-0.2718000.332000 & Trim. Kurtosis (24/120)-1.1094000.046600 \tabularnewline Trim. Skewness (25/120)-0.2752000.337000 & Trim. Kurtosis (25/120)-1.0958000.052400 \tabularnewline Trim. Skewness (26/120)-0.2759000.342200 & Trim. Kurtosis (26/120)-1.0913000.056200 \tabularnewline Trim. Skewness (27/120)-0.2682000.362800 & Trim. Kurtosis (27/120)-1.0982000.058800 \tabularnewline Trim. Skewness (28/120)-0.2494000.400800 & Trim. Kurtosis (28/120)-1.1267000.056200 \tabularnewline Trim. Skewness (29/120)-0.2311000.441200 & Trim. Kurtosis (29/120)-1.1615000.052400 \tabularnewline Trim. Skewness (30/120)-0.2098000.496400 & Trim. Kurtosis (30/120)-1.1857000.051200 \tabularnewline Trim. Skewness (31/120)-0.1937000.535200 & Trim. Kurtosis (31/120)-1.2037000.051200 \tabularnewline Trim. Skewness (32/120)-0.1887000.548400 & Trim. Kurtosis (32/120)-1.2049000.054800 \tabularnewline Trim. Skewness (33/120)-0.1745000.589200 & Trim. Kurtosis (33/120)-1.2278000.053600 \tabularnewline Trim. Skewness (34/120)-0.1574000.631200 & Trim. Kurtosis (34/120)-1.2753000.048800 \tabularnewline Trim. Skewness (35/120)-0.1429000.667200 & Trim. Kurtosis (35/120)-1.2892000.051200 \tabularnewline Trim. Skewness (36/120)-0.1115000.741400 & Trim. Kurtosis (36/120)-1.3341000.047800 \tabularnewline Trim. Skewness (37/120)-0.1018000.764200 & Trim. Kurtosis (37/120)-1.3462000.050000 \tabularnewline Trim. Skewness (38/120)-0.0980000.779400 & Trim. Kurtosis (38/120)-1.3583000.052400 \tabularnewline Trim. Skewness (39/120)-0.0866000.810400 & Trim. Kurtosis (39/120)-1.3824000.053600 \tabularnewline Trim. Skewness (40/120)-0.0550000.880800 & Trim. Kurtosis (40/120)-1.4318000.050000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103002&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]0.132400[/C]0.548400[/C][C]Trim. Kurtosis (0/120)[/C]-0.091300[/C]0.833600[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.067700[/C]0.756600[/C][C]Trim. Kurtosis (1/120)[/C]-0.265800[/C]0.541800[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.030500[/C]0.888600[/C][C]Trim. Kurtosis (2/120)[/C]-0.401500[/C]0.362800[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.027200[/C]0.896600[/C][C]Trim. Kurtosis (3/120)[/C]-0.498600[/C]0.267000[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.103400[/C]0.645600[/C][C]Trim. Kurtosis (4/120)[/C]-0.654600[/C]0.147000[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.132300[/C]0.562000[/C][C]Trim. Kurtosis (5/120)[/C]-0.704200[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.166600[/C]0.471600[/C][C]Trim. Kurtosis (6/120)[/C]-0.750000[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.197200[/C]0.395400[/C][C]Trim. Kurtosis (7/120)[/C]-0.801000[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.222000[/C]0.347200[/C][C]Trim. Kurtosis (8/120)[/C]-0.857000[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.231300[/C]0.332000[/C][C]Trim. Kurtosis (9/120)[/C]-0.901200[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.239000[/C]0.322200[/C][C]Trim. Kurtosis (10/120)[/C]-0.947800[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.256800[/C]0.289200[/C][C]Trim. Kurtosis (11/120)[/C]-0.976400[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.264700[/C]0.280200[/C][C]Trim. Kurtosis (12/120)[/C]-0.986900[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.257600[/C]0.298400[/C][C]Trim. Kurtosis (13/120)[/C]-0.997100[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.255800[/C]0.307800[/C][C]Trim. Kurtosis (14/120)[/C]-1.002500[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.255200[/C]0.312400[/C][C]Trim. Kurtosis (15/120)[/C]-0.993600[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.253900[/C]0.322200[/C][C]Trim. Kurtosis (16/120)[/C]-0.990300[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.257900[/C]0.317400[/C][C]Trim. Kurtosis (17/120)[/C]-0.979900[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.262200[/C]0.317400[/C][C]Trim. Kurtosis (18/120)[/C]-0.977400[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.262600[/C]0.322200[/C][C]Trim. Kurtosis (19/120)[/C]-0.979100[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.265800[/C]0.322200[/C][C]Trim. Kurtosis (20/120)[/C]-0.988900[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.265800[/C]0.327000[/C][C]Trim. Kurtosis (21/120)[/C]-1.003400[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.260100[/C]0.342200[/C][C]Trim. Kurtosis (22/120)[/C]-1.038200[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.247400[/C]0.373400[/C][C]Trim. Kurtosis (23/120)[/C]-1.104600[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.271800[/C]0.332000[/C][C]Trim. Kurtosis (24/120)[/C]-1.109400[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.275200[/C]0.337000[/C][C]Trim. Kurtosis (25/120)[/C]-1.095800[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.275900[/C]0.342200[/C][C]Trim. Kurtosis (26/120)[/C]-1.091300[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.268200[/C]0.362800[/C][C]Trim. Kurtosis (27/120)[/C]-1.098200[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.249400[/C]0.400800[/C][C]Trim. Kurtosis (28/120)[/C]-1.126700[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.231100[/C]0.441200[/C][C]Trim. Kurtosis (29/120)[/C]-1.161500[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.209800[/C]0.496400[/C][C]Trim. Kurtosis (30/120)[/C]-1.185700[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.193700[/C]0.535200[/C][C]Trim. Kurtosis (31/120)[/C]-1.203700[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.188700[/C]0.548400[/C][C]Trim. Kurtosis (32/120)[/C]-1.204900[/C]0.054800[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.174500[/C]0.589200[/C][C]Trim. Kurtosis (33/120)[/C]-1.227800[/C]0.053600[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.157400[/C]0.631200[/C][C]Trim. Kurtosis (34/120)[/C]-1.275300[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.142900[/C]0.667200[/C][C]Trim. Kurtosis (35/120)[/C]-1.289200[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.111500[/C]0.741400[/C][C]Trim. Kurtosis (36/120)[/C]-1.334100[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.101800[/C]0.764200[/C][C]Trim. Kurtosis (37/120)[/C]-1.346200[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.098000[/C]0.779400[/C][C]Trim. Kurtosis (38/120)[/C]-1.358300[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.086600[/C]0.810400[/C][C]Trim. Kurtosis (39/120)[/C]-1.382400[/C]0.053600[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.055000[/C]0.880800[/C][C]Trim. Kurtosis (40/120)[/C]-1.431800[/C]0.050000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103002&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103002&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)0.1324000.548400Trim. Kurtosis (0/120)-0.0913000.833600
Trim. Skewness (1/120)0.0677000.756600Trim. Kurtosis (1/120)-0.2658000.541800
Trim. Skewness (2/120)0.0305000.888600Trim. Kurtosis (2/120)-0.4015000.362800
Trim. Skewness (3/120)-0.0272000.896600Trim. Kurtosis (3/120)-0.4986000.267000
Trim. Skewness (4/120)-0.1034000.645600Trim. Kurtosis (4/120)-0.6546000.147000
Trim. Skewness (5/120)-0.1323000.562000Trim. Kurtosis (5/120)-0.7042000.121200
Trim. Skewness (6/120)-0.1666000.471600Trim. Kurtosis (6/120)-0.7500000.103200
Trim. Skewness (7/120)-0.1972000.395400Trim. Kurtosis (7/120)-0.8010000.083600
Trim. Skewness (8/120)-0.2220000.347200Trim. Kurtosis (8/120)-0.8570000.067200
Trim. Skewness (9/120)-0.2313000.332000Trim. Kurtosis (9/120)-0.9012000.056200
Trim. Skewness (10/120)-0.2390000.322200Trim. Kurtosis (10/120)-0.9478000.046600
Trim. Skewness (11/120)-0.2568000.289200Trim. Kurtosis (11/120)-0.9764000.042400
Trim. Skewness (12/120)-0.2647000.280200Trim. Kurtosis (12/120)-0.9869000.042400
Trim. Skewness (13/120)-0.2576000.298400Trim. Kurtosis (13/120)-0.9971000.042400
Trim. Skewness (14/120)-0.2558000.307800Trim. Kurtosis (14/120)-1.0025000.043400
Trim. Skewness (15/120)-0.2552000.312400Trim. Kurtosis (15/120)-0.9936000.047800
Trim. Skewness (16/120)-0.2539000.322200Trim. Kurtosis (16/120)-0.9903000.051200
Trim. Skewness (17/120)-0.2579000.317400Trim. Kurtosis (17/120)-0.9799000.056200
Trim. Skewness (18/120)-0.2622000.317400Trim. Kurtosis (18/120)-0.9774000.058800
Trim. Skewness (19/120)-0.2626000.322200Trim. Kurtosis (19/120)-0.9791000.061400
Trim. Skewness (20/120)-0.2658000.322200Trim. Kurtosis (20/120)-0.9889000.062800
Trim. Skewness (21/120)-0.2658000.327000Trim. Kurtosis (21/120)-1.0034000.061400
Trim. Skewness (22/120)-0.2601000.342200Trim. Kurtosis (22/120)-1.0382000.056200
Trim. Skewness (23/120)-0.2474000.373400Trim. Kurtosis (23/120)-1.1046000.044400
Trim. Skewness (24/120)-0.2718000.332000Trim. Kurtosis (24/120)-1.1094000.046600
Trim. Skewness (25/120)-0.2752000.337000Trim. Kurtosis (25/120)-1.0958000.052400
Trim. Skewness (26/120)-0.2759000.342200Trim. Kurtosis (26/120)-1.0913000.056200
Trim. Skewness (27/120)-0.2682000.362800Trim. Kurtosis (27/120)-1.0982000.058800
Trim. Skewness (28/120)-0.2494000.400800Trim. Kurtosis (28/120)-1.1267000.056200
Trim. Skewness (29/120)-0.2311000.441200Trim. Kurtosis (29/120)-1.1615000.052400
Trim. Skewness (30/120)-0.2098000.496400Trim. Kurtosis (30/120)-1.1857000.051200
Trim. Skewness (31/120)-0.1937000.535200Trim. Kurtosis (31/120)-1.2037000.051200
Trim. Skewness (32/120)-0.1887000.548400Trim. Kurtosis (32/120)-1.2049000.054800
Trim. Skewness (33/120)-0.1745000.589200Trim. Kurtosis (33/120)-1.2278000.053600
Trim. Skewness (34/120)-0.1574000.631200Trim. Kurtosis (34/120)-1.2753000.048800
Trim. Skewness (35/120)-0.1429000.667200Trim. Kurtosis (35/120)-1.2892000.051200
Trim. Skewness (36/120)-0.1115000.741400Trim. Kurtosis (36/120)-1.3341000.047800
Trim. Skewness (37/120)-0.1018000.764200Trim. Kurtosis (37/120)-1.3462000.050000
Trim. Skewness (38/120)-0.0980000.779400Trim. Kurtosis (38/120)-1.3583000.052400
Trim. Skewness (39/120)-0.0866000.810400Trim. Kurtosis (39/120)-1.3824000.053600
Trim. Skewness (40/120)-0.0550000.880800Trim. Kurtosis (40/120)-1.4318000.050000


Figures (Output of Computation)

Input Parameters & R Code

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