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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 17:48:57 +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/t1291052839upig639ijr1mazr.htm/, Retrieved Mon, 29 Apr 2024 16:06:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102989, Retrieved Mon, 29 Apr 2024 16:06:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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] [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 
592.33
618.24
609.57
592.42
610.65
605.54
604.07
586.91
590.43
584.64
600.86
600.89
582.35
571.22
582.95
590.16
590.92
608.1
601.32
607.74
593.3
602.65
619.05
621.97
641.86
641.86
629.52
624.46
627.95
619.74
627.25
631.18
601.52
592.56
597.16
603.69
577.62
582.76
593
577.75
576.06
576.06
589.46
587.28
606.36
607.88
607.21
611.92
633
633.13
652.92
674.23
654.4
662.36
670.13
665.58
696.76
666.26
692.18
690.11
683.87
717.42
717.42
717.42
728.94
717.42
702.22
690.09
697.45
713.68
700.21
726.82
748.06
728.33
755.44
758.13
768.01
768.15
768.51
759.47
759.17
750.07
754.82
764.96
783.18
793.75
784.41
784.81
775.84
792.56
792.56
821.73
824.35
810.97
811.35
811.46
810.86
824.12
820.57
811.92
817.77
790.39
792.88
774.89
775.48
784.22
782.91
795.94
786.11
797.79
811.12
807.8
812.87
801.99
779.87
786.47
783.5
788.09
785.18
785.26

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.46913.493300FISHER 4th Cent. Mom.7.51320e+7
FISHER beta 10.005600FISHER beta 21.400365
FISHER gamma 10.074836FISHER gamma 2-1.599635
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.334676FISHER Test 2-3.576893
FISHER Test 1 Probability0.733800FISHER Test 2 Probability0.000400
Pearson 20.071297
Yule using Quartile definition:Weighted Average at Xnp0.041002
Yule using Quartile definition:Weighted Average at X(n+1)p0.043554
Yule using Quartile definition:Empirical Distribution Function0.041002
Yule using Quartile definition:Empirical Distribution Function - Averaging0.044377
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.045202
Yule using Quartile definition:Closest Observation0.041002
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.045202
Yule using Quartile definition:MS Excel (old versions)0.042735
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.075787Kurtosis (small sample)-1.616627
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.343114TEST 1 (small sample)-3.688145
TEST 1 Prob. (small sample)0.726400TEST 1 Prob. (small sample)0.000200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.46913.493300 & FISHER 4th Cent. Mom.7.51320e+7 \tabularnewline FISHER beta 10.005600 & FISHER beta 21.400365 \tabularnewline FISHER gamma 10.074836 & FISHER gamma 2-1.599635 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 10.334676 & FISHER Test 2-3.576893 \tabularnewline FISHER Test 1 Probability0.733800 & FISHER Test 2 Probability0.000400 \tabularnewline Pearson 20.071297 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.041002 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.043554 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.041002 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.044377 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.045202 & & \tabularnewline Yule using Quartile definition:Closest Observation0.041002 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.045202 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.042735 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.075787 & Kurtosis (small sample)-1.616627 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)0.343114 & TEST 1 (small sample)-3.688145 \tabularnewline TEST 1 Prob. (small sample)0.726400 & TEST 1 Prob. (small sample)0.000200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102989&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]46913.493300[/C][C]FISHER 4th Cent. Mom.[/C]7.51320e+7[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.005600[/C][C]FISHER beta 2[/C]1.400365[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.074836[/C][C]FISHER gamma 2[/C]-1.599635[/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]0.334676[/C][C]FISHER Test 2[/C]-3.576893[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.733800[/C][C]FISHER Test 2 Probability[/C]0.000400[/C][/ROW] [ROW][C]Pearson 2[/C]0.071297[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.041002[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.043554[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.041002[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.044377[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.045202[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.041002[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.045202[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.042735[/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]0.075787[/C][C]Kurtosis (small sample)[/C]-1.616627[/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]0.343114[/C][C]TEST 1 (small sample)[/C]-3.688145[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.726400[/C][C]TEST 1 Prob. (small sample)[/C]0.000200[/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=102989&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102989&T=0

As an alternative you can also use a QR Code:  
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The GUIDs for individual cells are displayed in the table below:

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.46913.493300FISHER 4th Cent. Mom.7.51320e+7
FISHER beta 10.005600FISHER beta 21.400365
FISHER gamma 10.074836FISHER gamma 2-1.599635
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.334676FISHER Test 2-3.576893
FISHER Test 1 Probability0.733800FISHER Test 2 Probability0.000400
Pearson 20.071297
Yule using Quartile definition:Weighted Average at Xnp0.041002
Yule using Quartile definition:Weighted Average at X(n+1)p0.043554
Yule using Quartile definition:Empirical Distribution Function0.041002
Yule using Quartile definition:Empirical Distribution Function - Averaging0.044377
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.045202
Yule using Quartile definition:Closest Observation0.041002
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.045202
Yule using Quartile definition:MS Excel (old versions)0.042735
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.075787Kurtosis (small sample)-1.616627
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.343114TEST 1 (small sample)-3.688145
TEST 1 Prob. (small sample)0.726400TEST 1 Prob. (small sample)0.000200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.0758000.726400Trim. Kurtosis (0/120)-1.6166000.000200
Trim. Skewness (1/120)0.0760000.726400Trim. Kurtosis (1/120)-1.6189000.000200
Trim. Skewness (2/120)0.0745000.733800Trim. Kurtosis (2/120)-1.6206000.000200
Trim. Skewness (3/120)0.0737000.741400Trim. Kurtosis (3/120)-1.6222000.000200
Trim. Skewness (4/120)0.0725000.749000Trim. Kurtosis (4/120)-1.6239000.000400
Trim. Skewness (5/120)0.0722000.749000Trim. Kurtosis (5/120)-1.6252000.000400
Trim. Skewness (6/120)0.0721000.756600Trim. Kurtosis (6/120)-1.6230000.000400
Trim. Skewness (7/120)0.0720000.756600Trim. Kurtosis (7/120)-1.6210000.000400
Trim. Skewness (8/120)0.0719000.756600Trim. Kurtosis (8/120)-1.6196000.000600
Trim. Skewness (9/120)0.0710000.764200Trim. Kurtosis (9/120)-1.6187000.000600
Trim. Skewness (10/120)0.0689000.771800Trim. Kurtosis (10/120)-1.6180000.000600
Trim. Skewness (11/120)0.0663000.779400Trim. Kurtosis (11/120)-1.6186000.000800
Trim. Skewness (12/120)0.0622000.794800Trim. Kurtosis (12/120)-1.6201000.000800
Trim. Skewness (13/120)0.0589000.810400Trim. Kurtosis (13/120)-1.6204000.001000
Trim. Skewness (14/120)0.0580000.810400Trim. Kurtosis (14/120)-1.6175000.001200
Trim. Skewness (15/120)0.0587000.810400Trim. Kurtosis (15/120)-1.6125000.001400
Trim. Skewness (16/120)0.0595000.810400Trim. Kurtosis (16/120)-1.6065000.001600
Trim. Skewness (17/120)0.0615000.810400Trim. Kurtosis (17/120)-1.5997000.001800
Trim. Skewness (18/120)0.0639000.802600Trim. Kurtosis (18/120)-1.5929000.002200
Trim. Skewness (19/120)0.0664000.802600Trim. Kurtosis (19/120)-1.5864000.002600
Trim. Skewness (20/120)0.0689000.794800Trim. Kurtosis (20/120)-1.5807000.002800
Trim. Skewness (21/120)0.0706000.794800Trim. Kurtosis (21/120)-1.5720000.003400
Trim. Skewness (22/120)0.0716000.794800Trim. Kurtosis (22/120)-1.5603000.004200
Trim. Skewness (23/120)0.0734000.787200Trim. Kurtosis (23/120)-1.5474000.005000
Trim. Skewness (24/120)0.0752000.787200Trim. Kurtosis (24/120)-1.5341000.006000
Trim. Skewness (25/120)0.0775000.779400Trim. Kurtosis (25/120)-1.5200000.007200
Trim. Skewness (26/120)0.0791000.779400Trim. Kurtosis (26/120)-1.5053000.008600
Trim. Skewness (27/120)0.0801000.779400Trim. Kurtosis (27/120)-1.4899000.010400
Trim. Skewness (28/120)0.0809000.779400Trim. Kurtosis (28/120)-1.4743000.012400
Trim. Skewness (29/120)0.0801000.787200Trim. Kurtosis (29/120)-1.4584000.014600
Trim. Skewness (30/120)0.0785000.794800Trim. Kurtosis (30/120)-1.4422000.017400
Trim. Skewness (31/120)0.0753000.810400Trim. Kurtosis (31/120)-1.4269000.020800
Trim. Skewness (32/120)0.0700000.825800Trim. Kurtosis (32/120)-1.4142000.023800
Trim. Skewness (33/120)0.0671000.833600Trim. Kurtosis (33/120)-1.3996000.027800
Trim. Skewness (34/120)0.0690000.833600Trim. Kurtosis (34/120)-1.3808000.033200
Trim. Skewness (35/120)0.0686000.833600Trim. Kurtosis (35/120)-1.3640000.038400
Trim. Skewness (36/120)0.0662000.841400Trim. Kurtosis (36/120)-1.3519000.044400
Trim. Skewness (37/120)0.0735000.833600Trim. Kurtosis (37/120)-1.3282000.052400
Trim. Skewness (38/120)0.0687000.841400Trim. Kurtosis (38/120)-1.2961000.064400
Trim. Skewness (39/120)0.0588000.865000Trim. Kurtosis (39/120)-1.2686000.075000
Trim. Skewness (40/120)0.0509000.888600Trim. Kurtosis (40/120)-1.2377000.091000

\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)0.0758000.726400 & Trim. Kurtosis (0/120)-1.6166000.000200 \tabularnewline Trim. Skewness (1/120)0.0760000.726400 & Trim. Kurtosis (1/120)-1.6189000.000200 \tabularnewline Trim. Skewness (2/120)0.0745000.733800 & Trim. Kurtosis (2/120)-1.6206000.000200 \tabularnewline Trim. Skewness (3/120)0.0737000.741400 & Trim. Kurtosis (3/120)-1.6222000.000200 \tabularnewline Trim. Skewness (4/120)0.0725000.749000 & Trim. Kurtosis (4/120)-1.6239000.000400 \tabularnewline Trim. Skewness (5/120)0.0722000.749000 & Trim. Kurtosis (5/120)-1.6252000.000400 \tabularnewline Trim. Skewness (6/120)0.0721000.756600 & Trim. Kurtosis (6/120)-1.6230000.000400 \tabularnewline Trim. Skewness (7/120)0.0720000.756600 & Trim. Kurtosis (7/120)-1.6210000.000400 \tabularnewline Trim. Skewness (8/120)0.0719000.756600 & Trim. Kurtosis (8/120)-1.6196000.000600 \tabularnewline Trim. Skewness (9/120)0.0710000.764200 & Trim. Kurtosis (9/120)-1.6187000.000600 \tabularnewline Trim. Skewness (10/120)0.0689000.771800 & Trim. Kurtosis (10/120)-1.6180000.000600 \tabularnewline Trim. Skewness (11/120)0.0663000.779400 & Trim. Kurtosis (11/120)-1.6186000.000800 \tabularnewline Trim. Skewness (12/120)0.0622000.794800 & Trim. Kurtosis (12/120)-1.6201000.000800 \tabularnewline Trim. Skewness (13/120)0.0589000.810400 & Trim. Kurtosis (13/120)-1.6204000.001000 \tabularnewline Trim. Skewness (14/120)0.0580000.810400 & Trim. Kurtosis (14/120)-1.6175000.001200 \tabularnewline Trim. Skewness (15/120)0.0587000.810400 & Trim. Kurtosis (15/120)-1.6125000.001400 \tabularnewline Trim. Skewness (16/120)0.0595000.810400 & Trim. Kurtosis (16/120)-1.6065000.001600 \tabularnewline Trim. Skewness (17/120)0.0615000.810400 & Trim. Kurtosis (17/120)-1.5997000.001800 \tabularnewline Trim. Skewness (18/120)0.0639000.802600 & Trim. Kurtosis (18/120)-1.5929000.002200 \tabularnewline Trim. Skewness (19/120)0.0664000.802600 & Trim. Kurtosis (19/120)-1.5864000.002600 \tabularnewline Trim. Skewness (20/120)0.0689000.794800 & Trim. Kurtosis (20/120)-1.5807000.002800 \tabularnewline Trim. Skewness (21/120)0.0706000.794800 & Trim. Kurtosis (21/120)-1.5720000.003400 \tabularnewline Trim. Skewness (22/120)0.0716000.794800 & Trim. Kurtosis (22/120)-1.5603000.004200 \tabularnewline Trim. Skewness (23/120)0.0734000.787200 & Trim. Kurtosis (23/120)-1.5474000.005000 \tabularnewline Trim. Skewness (24/120)0.0752000.787200 & Trim. Kurtosis (24/120)-1.5341000.006000 \tabularnewline Trim. Skewness (25/120)0.0775000.779400 & Trim. Kurtosis (25/120)-1.5200000.007200 \tabularnewline Trim. Skewness (26/120)0.0791000.779400 & Trim. Kurtosis (26/120)-1.5053000.008600 \tabularnewline Trim. Skewness (27/120)0.0801000.779400 & Trim. Kurtosis (27/120)-1.4899000.010400 \tabularnewline Trim. Skewness (28/120)0.0809000.779400 & Trim. Kurtosis (28/120)-1.4743000.012400 \tabularnewline Trim. Skewness (29/120)0.0801000.787200 & Trim. Kurtosis (29/120)-1.4584000.014600 \tabularnewline Trim. Skewness (30/120)0.0785000.794800 & Trim. Kurtosis (30/120)-1.4422000.017400 \tabularnewline Trim. Skewness (31/120)0.0753000.810400 & Trim. Kurtosis (31/120)-1.4269000.020800 \tabularnewline Trim. Skewness (32/120)0.0700000.825800 & Trim. Kurtosis (32/120)-1.4142000.023800 \tabularnewline Trim. Skewness (33/120)0.0671000.833600 & Trim. Kurtosis (33/120)-1.3996000.027800 \tabularnewline Trim. Skewness (34/120)0.0690000.833600 & Trim. Kurtosis (34/120)-1.3808000.033200 \tabularnewline Trim. Skewness (35/120)0.0686000.833600 & Trim. Kurtosis (35/120)-1.3640000.038400 \tabularnewline Trim. Skewness (36/120)0.0662000.841400 & Trim. Kurtosis (36/120)-1.3519000.044400 \tabularnewline Trim. Skewness (37/120)0.0735000.833600 & Trim. Kurtosis (37/120)-1.3282000.052400 \tabularnewline Trim. Skewness (38/120)0.0687000.841400 & Trim. Kurtosis (38/120)-1.2961000.064400 \tabularnewline Trim. Skewness (39/120)0.0588000.865000 & Trim. Kurtosis (39/120)-1.2686000.075000 \tabularnewline Trim. Skewness (40/120)0.0509000.888600 & Trim. Kurtosis (40/120)-1.2377000.091000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102989&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]0.075800[/C]0.726400[/C][C]Trim. Kurtosis (0/120)[/C]-1.616600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.076000[/C]0.726400[/C][C]Trim. Kurtosis (1/120)[/C]-1.618900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.074500[/C]0.733800[/C][C]Trim. Kurtosis (2/120)[/C]-1.620600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.073700[/C]0.741400[/C][C]Trim. Kurtosis (3/120)[/C]-1.622200[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.072500[/C]0.749000[/C][C]Trim. Kurtosis (4/120)[/C]-1.623900[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.072200[/C]0.749000[/C][C]Trim. Kurtosis (5/120)[/C]-1.625200[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.072100[/C]0.756600[/C][C]Trim. Kurtosis (6/120)[/C]-1.623000[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.072000[/C]0.756600[/C][C]Trim. Kurtosis (7/120)[/C]-1.621000[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.071900[/C]0.756600[/C][C]Trim. Kurtosis (8/120)[/C]-1.619600[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.071000[/C]0.764200[/C][C]Trim. Kurtosis (9/120)[/C]-1.618700[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.068900[/C]0.771800[/C][C]Trim. Kurtosis (10/120)[/C]-1.618000[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.066300[/C]0.779400[/C][C]Trim. Kurtosis (11/120)[/C]-1.618600[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.062200[/C]0.794800[/C][C]Trim. Kurtosis (12/120)[/C]-1.620100[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.058900[/C]0.810400[/C][C]Trim. Kurtosis (13/120)[/C]-1.620400[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.058000[/C]0.810400[/C][C]Trim. Kurtosis (14/120)[/C]-1.617500[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.058700[/C]0.810400[/C][C]Trim. Kurtosis (15/120)[/C]-1.612500[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.059500[/C]0.810400[/C][C]Trim. Kurtosis (16/120)[/C]-1.606500[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.061500[/C]0.810400[/C][C]Trim. Kurtosis (17/120)[/C]-1.599700[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.063900[/C]0.802600[/C][C]Trim. Kurtosis (18/120)[/C]-1.592900[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.066400[/C]0.802600[/C][C]Trim. Kurtosis (19/120)[/C]-1.586400[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.068900[/C]0.794800[/C][C]Trim. Kurtosis (20/120)[/C]-1.580700[/C]0.002800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.070600[/C]0.794800[/C][C]Trim. Kurtosis (21/120)[/C]-1.572000[/C]0.003400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.071600[/C]0.794800[/C][C]Trim. Kurtosis (22/120)[/C]-1.560300[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.073400[/C]0.787200[/C][C]Trim. Kurtosis (23/120)[/C]-1.547400[/C]0.005000[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.075200[/C]0.787200[/C][C]Trim. Kurtosis (24/120)[/C]-1.534100[/C]0.006000[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.077500[/C]0.779400[/C][C]Trim. Kurtosis (25/120)[/C]-1.520000[/C]0.007200[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.079100[/C]0.779400[/C][C]Trim. Kurtosis (26/120)[/C]-1.505300[/C]0.008600[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.080100[/C]0.779400[/C][C]Trim. Kurtosis (27/120)[/C]-1.489900[/C]0.010400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.080900[/C]0.779400[/C][C]Trim. Kurtosis (28/120)[/C]-1.474300[/C]0.012400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.080100[/C]0.787200[/C][C]Trim. Kurtosis (29/120)[/C]-1.458400[/C]0.014600[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.078500[/C]0.794800[/C][C]Trim. Kurtosis (30/120)[/C]-1.442200[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.075300[/C]0.810400[/C][C]Trim. Kurtosis (31/120)[/C]-1.426900[/C]0.020800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.070000[/C]0.825800[/C][C]Trim. Kurtosis (32/120)[/C]-1.414200[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.067100[/C]0.833600[/C][C]Trim. Kurtosis (33/120)[/C]-1.399600[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.069000[/C]0.833600[/C][C]Trim. Kurtosis (34/120)[/C]-1.380800[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.068600[/C]0.833600[/C][C]Trim. Kurtosis (35/120)[/C]-1.364000[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.066200[/C]0.841400[/C][C]Trim. Kurtosis (36/120)[/C]-1.351900[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.073500[/C]0.833600[/C][C]Trim. Kurtosis (37/120)[/C]-1.328200[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.068700[/C]0.841400[/C][C]Trim. Kurtosis (38/120)[/C]-1.296100[/C]0.064400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.058800[/C]0.865000[/C][C]Trim. Kurtosis (39/120)[/C]-1.268600[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.050900[/C]0.888600[/C][C]Trim. Kurtosis (40/120)[/C]-1.237700[/C]0.091000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102989&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102989&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)0.0758000.726400Trim. Kurtosis (0/120)-1.6166000.000200
Trim. Skewness (1/120)0.0760000.726400Trim. Kurtosis (1/120)-1.6189000.000200
Trim. Skewness (2/120)0.0745000.733800Trim. Kurtosis (2/120)-1.6206000.000200
Trim. Skewness (3/120)0.0737000.741400Trim. Kurtosis (3/120)-1.6222000.000200
Trim. Skewness (4/120)0.0725000.749000Trim. Kurtosis (4/120)-1.6239000.000400
Trim. Skewness (5/120)0.0722000.749000Trim. Kurtosis (5/120)-1.6252000.000400
Trim. Skewness (6/120)0.0721000.756600Trim. Kurtosis (6/120)-1.6230000.000400
Trim. Skewness (7/120)0.0720000.756600Trim. Kurtosis (7/120)-1.6210000.000400
Trim. Skewness (8/120)0.0719000.756600Trim. Kurtosis (8/120)-1.6196000.000600
Trim. Skewness (9/120)0.0710000.764200Trim. Kurtosis (9/120)-1.6187000.000600
Trim. Skewness (10/120)0.0689000.771800Trim. Kurtosis (10/120)-1.6180000.000600
Trim. Skewness (11/120)0.0663000.779400Trim. Kurtosis (11/120)-1.6186000.000800
Trim. Skewness (12/120)0.0622000.794800Trim. Kurtosis (12/120)-1.6201000.000800
Trim. Skewness (13/120)0.0589000.810400Trim. Kurtosis (13/120)-1.6204000.001000
Trim. Skewness (14/120)0.0580000.810400Trim. Kurtosis (14/120)-1.6175000.001200
Trim. Skewness (15/120)0.0587000.810400Trim. Kurtosis (15/120)-1.6125000.001400
Trim. Skewness (16/120)0.0595000.810400Trim. Kurtosis (16/120)-1.6065000.001600
Trim. Skewness (17/120)0.0615000.810400Trim. Kurtosis (17/120)-1.5997000.001800
Trim. Skewness (18/120)0.0639000.802600Trim. Kurtosis (18/120)-1.5929000.002200
Trim. Skewness (19/120)0.0664000.802600Trim. Kurtosis (19/120)-1.5864000.002600
Trim. Skewness (20/120)0.0689000.794800Trim. Kurtosis (20/120)-1.5807000.002800
Trim. Skewness (21/120)0.0706000.794800Trim. Kurtosis (21/120)-1.5720000.003400
Trim. Skewness (22/120)0.0716000.794800Trim. Kurtosis (22/120)-1.5603000.004200
Trim. Skewness (23/120)0.0734000.787200Trim. Kurtosis (23/120)-1.5474000.005000
Trim. Skewness (24/120)0.0752000.787200Trim. Kurtosis (24/120)-1.5341000.006000
Trim. Skewness (25/120)0.0775000.779400Trim. Kurtosis (25/120)-1.5200000.007200
Trim. Skewness (26/120)0.0791000.779400Trim. Kurtosis (26/120)-1.5053000.008600
Trim. Skewness (27/120)0.0801000.779400Trim. Kurtosis (27/120)-1.4899000.010400
Trim. Skewness (28/120)0.0809000.779400Trim. Kurtosis (28/120)-1.4743000.012400
Trim. Skewness (29/120)0.0801000.787200Trim. Kurtosis (29/120)-1.4584000.014600
Trim. Skewness (30/120)0.0785000.794800Trim. Kurtosis (30/120)-1.4422000.017400
Trim. Skewness (31/120)0.0753000.810400Trim. Kurtosis (31/120)-1.4269000.020800
Trim. Skewness (32/120)0.0700000.825800Trim. Kurtosis (32/120)-1.4142000.023800
Trim. Skewness (33/120)0.0671000.833600Trim. Kurtosis (33/120)-1.3996000.027800
Trim. Skewness (34/120)0.0690000.833600Trim. Kurtosis (34/120)-1.3808000.033200
Trim. Skewness (35/120)0.0686000.833600Trim. Kurtosis (35/120)-1.3640000.038400
Trim. Skewness (36/120)0.0662000.841400Trim. Kurtosis (36/120)-1.3519000.044400
Trim. Skewness (37/120)0.0735000.833600Trim. Kurtosis (37/120)-1.3282000.052400
Trim. Skewness (38/120)0.0687000.841400Trim. Kurtosis (38/120)-1.2961000.064400
Trim. Skewness (39/120)0.0588000.865000Trim. Kurtosis (39/120)-1.2686000.075000
Trim. Skewness (40/120)0.0509000.888600Trim. Kurtosis (40/120)-1.2377000.091000


Figures (Output of Computation)

Input Parameters & R Code

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