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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 18:05:22 +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/t129105381016mrz8sdfvrsitn.htm/, Retrieved Mon, 29 Apr 2024 13:05:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103003, Retrieved Mon, 29 Apr 2024 13:05:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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 
30060.79608
33170.35032
23653.91293
31821.77317
23252.46665
31453.63152
22707.53055
25976.84417
30105.31026
33443.1957
27041.68311
30101.42944
23666.16441
25219.07526
26562.24523
27333.53996
32969.34577
26962.66263
29176.04633
29988.98869
25493.31879
32715.49381
27057.13025
26059.84691
28191.47926
23985.26578
26305.81136
25037.48898
23395.92295
20444.35716
31452.80091
25453.47458
22352.85003
22812.33865
33191.71
28847.13633
26393.21991
33066.84878
32437.7226
24706.96579
22722.58519
30790.42217
28012.30453
29684.22019
23241.81289
30881.56153
32260.65077
21840.06222
27899.16111
31501.96364
23955.59965
31226.50382
30461.2283
27381.68641
33133.3655
34353.55266
27984.43175
24329.3137
30754.25237
26975.58939
30400.36447
27715.37008
30208.65449
31217.73751
36496.84152
26504.70734
34034.62103
32380.88239
33129.89663
33435.39813
27325.35078
32004.96294
26262.0624
33242.30781
28264.71721
30231.31421
31682.36253
26740.88455
32450.72225
19174.05018
29622.43236
28598.32688
27721.24594
28712.18926
31708.10494
32269.85626
24505.62678
28965.26622
25388.81763
31524.81483
26766.81896
26769.71476
32399.61361
24474.24705
24858.91334
21813.30219
16569.44782
39076.12181
20838.82085
23400.10126
22809.50042
34443.4018
25921.96212
29851.29784
33461.84093
26356.551
22909.08934
25426.5676
28441.60888
25000.31627
27372.41281
26525.07491
23186.03759
26963.51493
34211.25749
26722.94075
36738.0701
29478.1911
35382.52942
25293.4156

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-2.74873e+9FISHER 4th Cent. Mom.7.38908e+14
FISHER beta 10.001650FISHER beta 22.679261
FISHER gamma 1-0.040616FISHER gamma 2-0.320739
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.181642FISHER Test 2-0.717194
FISHER Test 1 Probability0.849200FISHER Test 2 Probability0.471600
Pearson 20.218862
Yule using Quartile definition:Weighted Average at Xnp0.146860
Yule using Quartile definition:Weighted Average at X(n+1)p0.153628
Yule using Quartile definition:Empirical Distribution Function0.146860
Yule using Quartile definition:Empirical Distribution Function - Averaging0.157302
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.161012
Yule using Quartile definition:Closest Observation0.146860
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.161012
Yule using Quartile definition:MS Excel (old versions)0.149988
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.041132Kurtosis (small sample)-0.282799
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.186221TEST 1 (small sample)-0.645172
TEST 1 Prob. (small sample)0.849200TEST 1 Prob. (small sample)0.515600
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-2.74873e+9 & FISHER 4th Cent. Mom.7.38908e+14 \tabularnewline FISHER beta 10.001650 & FISHER beta 22.679261 \tabularnewline FISHER gamma 1-0.040616 & FISHER gamma 2-0.320739 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-0.181642 & FISHER Test 2-0.717194 \tabularnewline FISHER Test 1 Probability0.849200 & FISHER Test 2 Probability0.471600 \tabularnewline Pearson 20.218862 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.146860 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.153628 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.146860 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.157302 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.161012 & & \tabularnewline Yule using Quartile definition:Closest Observation0.146860 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.161012 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.149988 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.041132 & Kurtosis (small sample)-0.282799 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-0.186221 & TEST 1 (small sample)-0.645172 \tabularnewline TEST 1 Prob. (small sample)0.849200 & TEST 1 Prob. (small sample)0.515600 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103003&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]-2.74873e+9[/C][C]FISHER 4th Cent. Mom.[/C]7.38908e+14[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.001650[/C][C]FISHER beta 2[/C]2.679261[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.040616[/C][C]FISHER gamma 2[/C]-0.320739[/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]-0.181642[/C][C]FISHER Test 2[/C]-0.717194[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.849200[/C][C]FISHER Test 2 Probability[/C]0.471600[/C][/ROW] [ROW][C]Pearson 2[/C]0.218862[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.146860[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.153628[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.146860[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.157302[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.161012[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.146860[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.161012[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.149988[/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]-0.041132[/C][C]Kurtosis (small sample)[/C]-0.282799[/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]-0.186221[/C][C]TEST 1 (small sample)[/C]-0.645172[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.849200[/C][C]TEST 1 Prob. (small sample)[/C]0.515600[/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=103003&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103003&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.-2.74873e+9FISHER 4th Cent. Mom.7.38908e+14
FISHER beta 10.001650FISHER beta 22.679261
FISHER gamma 1-0.040616FISHER gamma 2-0.320739
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.181642FISHER Test 2-0.717194
FISHER Test 1 Probability0.849200FISHER Test 2 Probability0.471600
Pearson 20.218862
Yule using Quartile definition:Weighted Average at Xnp0.146860
Yule using Quartile definition:Weighted Average at X(n+1)p0.153628
Yule using Quartile definition:Empirical Distribution Function0.146860
Yule using Quartile definition:Empirical Distribution Function - Averaging0.157302
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.161012
Yule using Quartile definition:Closest Observation0.146860
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.161012
Yule using Quartile definition:MS Excel (old versions)0.149988
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.041132Kurtosis (small sample)-0.282799
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.186221TEST 1 (small sample)-0.645172
TEST 1 Prob. (small sample)0.849200TEST 1 Prob. (small sample)0.515600
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.0411000.849200Trim. Kurtosis (0/120)-0.2828000.515600
Trim. Skewness (1/120)-0.0075000.968000Trim. Kurtosis (1/120)-0.7849000.075000
Trim. Skewness (2/120)0.0107000.960200Trim. Kurtosis (2/120)-0.9401000.034000
Trim. Skewness (3/120)-0.0012000.992000Trim. Kurtosis (3/120)-1.0563000.018200
Trim. Skewness (4/120)0.0060000.976000Trim. Kurtosis (4/120)-1.1278000.012800
Trim. Skewness (5/120)0.0114000.960200Trim. Kurtosis (5/120)-1.1412000.012400
Trim. Skewness (6/120)0.0192000.928200Trim. Kurtosis (6/120)-1.1624000.011400
Trim. Skewness (7/120)0.0198000.928200Trim. Kurtosis (7/120)-1.1721000.011800
Trim. Skewness (8/120)0.0169000.936200Trim. Kurtosis (8/120)-1.1744000.012000
Trim. Skewness (9/120)0.0242000.912400Trim. Kurtosis (9/120)-1.1672000.013600
Trim. Skewness (10/120)0.0313000.896600Trim. Kurtosis (10/120)-1.1614000.015000
Trim. Skewness (11/120)0.0399000.865000Trim. Kurtosis (11/120)-1.1609000.016000
Trim. Skewness (12/120)0.0517000.825800Trim. Kurtosis (12/120)-1.1589000.017400
Trim. Skewness (13/120)0.0597000.810400Trim. Kurtosis (13/120)-1.1516000.019200
Trim. Skewness (14/120)0.0681000.779400Trim. Kurtosis (14/120)-1.1476000.020800
Trim. Skewness (15/120)0.0788000.749000Trim. Kurtosis (15/120)-1.1497000.022000
Trim. Skewness (16/120)0.0873000.733800Trim. Kurtosis (16/120)-1.1556000.022600
Trim. Skewness (17/120)0.0992000.696600Trim. Kurtosis (17/120)-1.1715000.022600
Trim. Skewness (18/120)0.1073000.681800Trim. Kurtosis (18/120)-1.1844000.022600
Trim. Skewness (19/120)0.1247000.638400Trim. Kurtosis (19/120)-1.1992000.022000
Trim. Skewness (20/120)0.1422000.596200Trim. Kurtosis (20/120)-1.1993000.023800
Trim. Skewness (21/120)0.1628000.548400Trim. Kurtosis (21/120)-1.2086000.024400
Trim. Skewness (22/120)0.1743000.522200Trim. Kurtosis (22/120)-1.2095000.025800
Trim. Skewness (23/120)0.1822000.509200Trim. Kurtosis (23/120)-1.2141000.027200
Trim. Skewness (24/120)0.1942000.490200Trim. Kurtosis (24/120)-1.2238000.028600
Trim. Skewness (25/120)0.1986000.484000Trim. Kurtosis (25/120)-1.2388000.028600
Trim. Skewness (26/120)0.2074000.471600Trim. Kurtosis (26/120)-1.2416000.030000
Trim. Skewness (27/120)0.2182000.459200Trim. Kurtosis (27/120)-1.2359000.033200
Trim. Skewness (28/120)0.2337000.429600Trim. Kurtosis (28/120)-1.2311000.036600
Trim. Skewness (29/120)0.2429000.423800Trim. Kurtosis (29/120)-1.2265000.040400
Trim. Skewness (30/120)0.2567000.400800Trim. Kurtosis (30/120)-1.2164000.045600
Trim. Skewness (31/120)0.2676000.389800Trim. Kurtosis (31/120)-1.2120000.048800
Trim. Skewness (32/120)0.2794000.378800Trim. Kurtosis (32/120)-1.2184000.052400
Trim. Skewness (33/120)0.2892000.368200Trim. Kurtosis (33/120)-1.2538000.048800
Trim. Skewness (34/120)0.3142000.337000Trim. Kurtosis (34/120)-1.2889000.046600
Trim. Skewness (35/120)0.3059000.362800Trim. Kurtosis (35/120)-1.3275000.044400
Trim. Skewness (36/120)0.3165000.352400Trim. Kurtosis (36/120)-1.3316000.047800
Trim. Skewness (37/120)0.3267000.347200Trim. Kurtosis (37/120)-1.3382000.051200
Trim. Skewness (38/120)0.3209000.368200Trim. Kurtosis (38/120)-1.3546000.052400
Trim. Skewness (39/120)0.3333000.357600Trim. Kurtosis (39/120)-1.3337000.061400
Trim. Skewness (40/120)0.3456000.352400Trim. Kurtosis (40/120)-1.3126000.071800

\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)-0.0411000.849200 & Trim. Kurtosis (0/120)-0.2828000.515600 \tabularnewline Trim. Skewness (1/120)-0.0075000.968000 & Trim. Kurtosis (1/120)-0.7849000.075000 \tabularnewline Trim. Skewness (2/120)0.0107000.960200 & Trim. Kurtosis (2/120)-0.9401000.034000 \tabularnewline Trim. Skewness (3/120)-0.0012000.992000 & Trim. Kurtosis (3/120)-1.0563000.018200 \tabularnewline Trim. Skewness (4/120)0.0060000.976000 & Trim. Kurtosis (4/120)-1.1278000.012800 \tabularnewline Trim. Skewness (5/120)0.0114000.960200 & Trim. Kurtosis (5/120)-1.1412000.012400 \tabularnewline Trim. Skewness (6/120)0.0192000.928200 & Trim. Kurtosis (6/120)-1.1624000.011400 \tabularnewline Trim. Skewness (7/120)0.0198000.928200 & Trim. Kurtosis (7/120)-1.1721000.011800 \tabularnewline Trim. Skewness (8/120)0.0169000.936200 & Trim. Kurtosis (8/120)-1.1744000.012000 \tabularnewline Trim. Skewness (9/120)0.0242000.912400 & Trim. Kurtosis (9/120)-1.1672000.013600 \tabularnewline Trim. Skewness (10/120)0.0313000.896600 & Trim. Kurtosis (10/120)-1.1614000.015000 \tabularnewline Trim. Skewness (11/120)0.0399000.865000 & Trim. Kurtosis (11/120)-1.1609000.016000 \tabularnewline Trim. Skewness (12/120)0.0517000.825800 & Trim. Kurtosis (12/120)-1.1589000.017400 \tabularnewline Trim. Skewness (13/120)0.0597000.810400 & Trim. Kurtosis (13/120)-1.1516000.019200 \tabularnewline Trim. Skewness (14/120)0.0681000.779400 & Trim. Kurtosis (14/120)-1.1476000.020800 \tabularnewline Trim. Skewness (15/120)0.0788000.749000 & Trim. Kurtosis (15/120)-1.1497000.022000 \tabularnewline Trim. Skewness (16/120)0.0873000.733800 & Trim. Kurtosis (16/120)-1.1556000.022600 \tabularnewline Trim. Skewness (17/120)0.0992000.696600 & Trim. Kurtosis (17/120)-1.1715000.022600 \tabularnewline Trim. Skewness (18/120)0.1073000.681800 & Trim. Kurtosis (18/120)-1.1844000.022600 \tabularnewline Trim. Skewness (19/120)0.1247000.638400 & Trim. Kurtosis (19/120)-1.1992000.022000 \tabularnewline Trim. Skewness (20/120)0.1422000.596200 & Trim. Kurtosis (20/120)-1.1993000.023800 \tabularnewline Trim. Skewness (21/120)0.1628000.548400 & Trim. Kurtosis (21/120)-1.2086000.024400 \tabularnewline Trim. Skewness (22/120)0.1743000.522200 & Trim. Kurtosis (22/120)-1.2095000.025800 \tabularnewline Trim. Skewness (23/120)0.1822000.509200 & Trim. Kurtosis (23/120)-1.2141000.027200 \tabularnewline Trim. Skewness (24/120)0.1942000.490200 & Trim. Kurtosis (24/120)-1.2238000.028600 \tabularnewline Trim. Skewness (25/120)0.1986000.484000 & Trim. Kurtosis (25/120)-1.2388000.028600 \tabularnewline Trim. Skewness (26/120)0.2074000.471600 & Trim. Kurtosis (26/120)-1.2416000.030000 \tabularnewline Trim. Skewness (27/120)0.2182000.459200 & Trim. Kurtosis (27/120)-1.2359000.033200 \tabularnewline Trim. Skewness (28/120)0.2337000.429600 & Trim. Kurtosis (28/120)-1.2311000.036600 \tabularnewline Trim. Skewness (29/120)0.2429000.423800 & Trim. Kurtosis (29/120)-1.2265000.040400 \tabularnewline Trim. Skewness (30/120)0.2567000.400800 & Trim. Kurtosis (30/120)-1.2164000.045600 \tabularnewline Trim. Skewness (31/120)0.2676000.389800 & Trim. Kurtosis (31/120)-1.2120000.048800 \tabularnewline Trim. Skewness (32/120)0.2794000.378800 & Trim. Kurtosis (32/120)-1.2184000.052400 \tabularnewline Trim. Skewness (33/120)0.2892000.368200 & Trim. Kurtosis (33/120)-1.2538000.048800 \tabularnewline Trim. Skewness (34/120)0.3142000.337000 & Trim. Kurtosis (34/120)-1.2889000.046600 \tabularnewline Trim. Skewness (35/120)0.3059000.362800 & Trim. Kurtosis (35/120)-1.3275000.044400 \tabularnewline Trim. Skewness (36/120)0.3165000.352400 & Trim. Kurtosis (36/120)-1.3316000.047800 \tabularnewline Trim. Skewness (37/120)0.3267000.347200 & Trim. Kurtosis (37/120)-1.3382000.051200 \tabularnewline Trim. Skewness (38/120)0.3209000.368200 & Trim. Kurtosis (38/120)-1.3546000.052400 \tabularnewline Trim. Skewness (39/120)0.3333000.357600 & Trim. Kurtosis (39/120)-1.3337000.061400 \tabularnewline Trim. Skewness (40/120)0.3456000.352400 & Trim. Kurtosis (40/120)-1.3126000.071800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103003&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]-0.041100[/C]0.849200[/C][C]Trim. Kurtosis (0/120)[/C]-0.282800[/C]0.515600[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.007500[/C]0.968000[/C][C]Trim. Kurtosis (1/120)[/C]-0.784900[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.010700[/C]0.960200[/C][C]Trim. Kurtosis (2/120)[/C]-0.940100[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.001200[/C]0.992000[/C][C]Trim. Kurtosis (3/120)[/C]-1.056300[/C]0.018200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.006000[/C]0.976000[/C][C]Trim. Kurtosis (4/120)[/C]-1.127800[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.011400[/C]0.960200[/C][C]Trim. Kurtosis (5/120)[/C]-1.141200[/C]0.012400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.019200[/C]0.928200[/C][C]Trim. Kurtosis (6/120)[/C]-1.162400[/C]0.011400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.019800[/C]0.928200[/C][C]Trim. Kurtosis (7/120)[/C]-1.172100[/C]0.011800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.016900[/C]0.936200[/C][C]Trim. Kurtosis (8/120)[/C]-1.174400[/C]0.012000[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.024200[/C]0.912400[/C][C]Trim. Kurtosis (9/120)[/C]-1.167200[/C]0.013600[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.031300[/C]0.896600[/C][C]Trim. Kurtosis (10/120)[/C]-1.161400[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.039900[/C]0.865000[/C][C]Trim. Kurtosis (11/120)[/C]-1.160900[/C]0.016000[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.051700[/C]0.825800[/C][C]Trim. Kurtosis (12/120)[/C]-1.158900[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.059700[/C]0.810400[/C][C]Trim. Kurtosis (13/120)[/C]-1.151600[/C]0.019200[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.068100[/C]0.779400[/C][C]Trim. Kurtosis (14/120)[/C]-1.147600[/C]0.020800[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.078800[/C]0.749000[/C][C]Trim. Kurtosis (15/120)[/C]-1.149700[/C]0.022000[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.087300[/C]0.733800[/C][C]Trim. Kurtosis (16/120)[/C]-1.155600[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.099200[/C]0.696600[/C][C]Trim. Kurtosis (17/120)[/C]-1.171500[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.107300[/C]0.681800[/C][C]Trim. Kurtosis (18/120)[/C]-1.184400[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.124700[/C]0.638400[/C][C]Trim. Kurtosis (19/120)[/C]-1.199200[/C]0.022000[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.142200[/C]0.596200[/C][C]Trim. Kurtosis (20/120)[/C]-1.199300[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.162800[/C]0.548400[/C][C]Trim. Kurtosis (21/120)[/C]-1.208600[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.174300[/C]0.522200[/C][C]Trim. Kurtosis (22/120)[/C]-1.209500[/C]0.025800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.182200[/C]0.509200[/C][C]Trim. Kurtosis (23/120)[/C]-1.214100[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.194200[/C]0.490200[/C][C]Trim. Kurtosis (24/120)[/C]-1.223800[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.198600[/C]0.484000[/C][C]Trim. Kurtosis (25/120)[/C]-1.238800[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.207400[/C]0.471600[/C][C]Trim. Kurtosis (26/120)[/C]-1.241600[/C]0.030000[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.218200[/C]0.459200[/C][C]Trim. Kurtosis (27/120)[/C]-1.235900[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.233700[/C]0.429600[/C][C]Trim. Kurtosis (28/120)[/C]-1.231100[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.242900[/C]0.423800[/C][C]Trim. Kurtosis (29/120)[/C]-1.226500[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.256700[/C]0.400800[/C][C]Trim. Kurtosis (30/120)[/C]-1.216400[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.267600[/C]0.389800[/C][C]Trim. Kurtosis (31/120)[/C]-1.212000[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.279400[/C]0.378800[/C][C]Trim. Kurtosis (32/120)[/C]-1.218400[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.289200[/C]0.368200[/C][C]Trim. Kurtosis (33/120)[/C]-1.253800[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.314200[/C]0.337000[/C][C]Trim. Kurtosis (34/120)[/C]-1.288900[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.305900[/C]0.362800[/C][C]Trim. Kurtosis (35/120)[/C]-1.327500[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.316500[/C]0.352400[/C][C]Trim. Kurtosis (36/120)[/C]-1.331600[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.326700[/C]0.347200[/C][C]Trim. Kurtosis (37/120)[/C]-1.338200[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.320900[/C]0.368200[/C][C]Trim. Kurtosis (38/120)[/C]-1.354600[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.333300[/C]0.357600[/C][C]Trim. Kurtosis (39/120)[/C]-1.333700[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.345600[/C]0.352400[/C][C]Trim. Kurtosis (40/120)[/C]-1.312600[/C]0.071800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103003&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103003&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)-0.0411000.849200Trim. Kurtosis (0/120)-0.2828000.515600
Trim. Skewness (1/120)-0.0075000.968000Trim. Kurtosis (1/120)-0.7849000.075000
Trim. Skewness (2/120)0.0107000.960200Trim. Kurtosis (2/120)-0.9401000.034000
Trim. Skewness (3/120)-0.0012000.992000Trim. Kurtosis (3/120)-1.0563000.018200
Trim. Skewness (4/120)0.0060000.976000Trim. Kurtosis (4/120)-1.1278000.012800
Trim. Skewness (5/120)0.0114000.960200Trim. Kurtosis (5/120)-1.1412000.012400
Trim. Skewness (6/120)0.0192000.928200Trim. Kurtosis (6/120)-1.1624000.011400
Trim. Skewness (7/120)0.0198000.928200Trim. Kurtosis (7/120)-1.1721000.011800
Trim. Skewness (8/120)0.0169000.936200Trim. Kurtosis (8/120)-1.1744000.012000
Trim. Skewness (9/120)0.0242000.912400Trim. Kurtosis (9/120)-1.1672000.013600
Trim. Skewness (10/120)0.0313000.896600Trim. Kurtosis (10/120)-1.1614000.015000
Trim. Skewness (11/120)0.0399000.865000Trim. Kurtosis (11/120)-1.1609000.016000
Trim. Skewness (12/120)0.0517000.825800Trim. Kurtosis (12/120)-1.1589000.017400
Trim. Skewness (13/120)0.0597000.810400Trim. Kurtosis (13/120)-1.1516000.019200
Trim. Skewness (14/120)0.0681000.779400Trim. Kurtosis (14/120)-1.1476000.020800
Trim. Skewness (15/120)0.0788000.749000Trim. Kurtosis (15/120)-1.1497000.022000
Trim. Skewness (16/120)0.0873000.733800Trim. Kurtosis (16/120)-1.1556000.022600
Trim. Skewness (17/120)0.0992000.696600Trim. Kurtosis (17/120)-1.1715000.022600
Trim. Skewness (18/120)0.1073000.681800Trim. Kurtosis (18/120)-1.1844000.022600
Trim. Skewness (19/120)0.1247000.638400Trim. Kurtosis (19/120)-1.1992000.022000
Trim. Skewness (20/120)0.1422000.596200Trim. Kurtosis (20/120)-1.1993000.023800
Trim. Skewness (21/120)0.1628000.548400Trim. Kurtosis (21/120)-1.2086000.024400
Trim. Skewness (22/120)0.1743000.522200Trim. Kurtosis (22/120)-1.2095000.025800
Trim. Skewness (23/120)0.1822000.509200Trim. Kurtosis (23/120)-1.2141000.027200
Trim. Skewness (24/120)0.1942000.490200Trim. Kurtosis (24/120)-1.2238000.028600
Trim. Skewness (25/120)0.1986000.484000Trim. Kurtosis (25/120)-1.2388000.028600
Trim. Skewness (26/120)0.2074000.471600Trim. Kurtosis (26/120)-1.2416000.030000
Trim. Skewness (27/120)0.2182000.459200Trim. Kurtosis (27/120)-1.2359000.033200
Trim. Skewness (28/120)0.2337000.429600Trim. Kurtosis (28/120)-1.2311000.036600
Trim. Skewness (29/120)0.2429000.423800Trim. Kurtosis (29/120)-1.2265000.040400
Trim. Skewness (30/120)0.2567000.400800Trim. Kurtosis (30/120)-1.2164000.045600
Trim. Skewness (31/120)0.2676000.389800Trim. Kurtosis (31/120)-1.2120000.048800
Trim. Skewness (32/120)0.2794000.378800Trim. Kurtosis (32/120)-1.2184000.052400
Trim. Skewness (33/120)0.2892000.368200Trim. Kurtosis (33/120)-1.2538000.048800
Trim. Skewness (34/120)0.3142000.337000Trim. Kurtosis (34/120)-1.2889000.046600
Trim. Skewness (35/120)0.3059000.362800Trim. Kurtosis (35/120)-1.3275000.044400
Trim. Skewness (36/120)0.3165000.352400Trim. Kurtosis (36/120)-1.3316000.047800
Trim. Skewness (37/120)0.3267000.347200Trim. Kurtosis (37/120)-1.3382000.051200
Trim. Skewness (38/120)0.3209000.368200Trim. Kurtosis (38/120)-1.3546000.052400
Trim. Skewness (39/120)0.3333000.357600Trim. Kurtosis (39/120)-1.3337000.061400
Trim. Skewness (40/120)0.3456000.352400Trim. Kurtosis (40/120)-1.3126000.071800


Figures (Output of Computation)

Input Parameters & R Code

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