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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 computationTue, 30 Nov 2010 18:54:32 +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/30/t1291143157h43y0zv7k51vv7g.htm/, Retrieved Mon, 29 Apr 2024 12:52:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103747, Retrieved Mon, 29 Apr 2024 12:52:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact132

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] [Kurtosis analysis...] [2007-09-10 12:58:14] [34354a2f772eeadc2ea8c4c156a37515]
-  M D  [Skewness and Kurtosis] [] [2010-11-30 18:24:16] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:54:32] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3,24
3,21
3,21
3,25
3,27
3,41
3,45
3,39
3,34
3,45
3,55
3,67
3,92
3,25
3,16
2,94
2,96
2,96
2,95
3,01
3,11
3,01
3,08
3,07
3,11
3,10
3,16
3,26
3,30
3,38
3,34
3,40
3,48
3,50
3,39
3,28
3,30
3,29
3,36
3,45
3,40
3,32
3,32
3,23
3,26
3,24
3,29
3,25
3,05
3,24
3,22
3,23
3,22
3,15
3,15
3,17
3,11
3,20
3,18
3,26
3,18
3,14
3,18
3,06
3,21
3,35
3,36
3,66
3,61
3,55
3,50
3,20
3,20
3,28
3,26
3,11
3,36
3,31
2,64
2,56
2,60
2,66
2,70
2,71
2,80
2,70
2,67
2,40
2,31
2,24
2,17
2,15
2,16
2,19
2,27
2,16
2,18
2,20
2,28
2,15
2,09
2,17
2,24
2,22
2,32
2,36
2,50
2,58
2,51
2,62
2,55
2,74
2,69
2,70
2,75
2,77
2,66
2,55
2,43
2,37

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.046211FISHER 4th Cent. Mom.0.080178
FISHER beta 10.304866FISHER beta 22.190150
FISHER gamma 1-0.552147FISHER gamma 2-0.809850
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-2.469275FISHER Test 2-1.810881
FISHER Test 1 Probability0.013600FISHER Test 2 Probability0.068800
Pearson 2-1.190094
Yule using Quartile definition:Weighted Average at Xnp-0.584615
Yule using Quartile definition:Weighted Average at X(n+1)p-0.581395
Yule using Quartile definition:Empirical Distribution Function-0.584615
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.578125
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.574803
Yule using Quartile definition:Closest Observation-0.584615
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.574803
Yule using Quartile definition:MS Excel (old versions)-0.584615
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.559161Kurtosis (small sample)-0.792919
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-2.531530TEST 1 (small sample)-1.808952
TEST 1 Prob. (small sample)0.011000TEST 1 Prob. (small sample)0.070200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-0.046211 & FISHER 4th Cent. Mom.0.080178 \tabularnewline FISHER beta 10.304866 & FISHER beta 22.190150 \tabularnewline FISHER gamma 1-0.552147 & FISHER gamma 2-0.809850 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-2.469275 & FISHER Test 2-1.810881 \tabularnewline FISHER Test 1 Probability0.013600 & FISHER Test 2 Probability0.068800 \tabularnewline Pearson 2-1.190094 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.584615 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.581395 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.584615 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.578125 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.574803 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.584615 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.574803 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.584615 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.559161 & Kurtosis (small sample)-0.792919 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-2.531530 & TEST 1 (small sample)-1.808952 \tabularnewline TEST 1 Prob. (small sample)0.011000 & TEST 1 Prob. (small sample)0.070200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103747&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]-0.046211[/C][C]FISHER 4th Cent. Mom.[/C]0.080178[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.304866[/C][C]FISHER beta 2[/C]2.190150[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.552147[/C][C]FISHER gamma 2[/C]-0.809850[/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]-2.469275[/C][C]FISHER Test 2[/C]-1.810881[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.013600[/C][C]FISHER Test 2 Probability[/C]0.068800[/C][/ROW] [ROW][C]Pearson 2[/C]-1.190094[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.584615[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.581395[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.584615[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.578125[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.574803[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.584615[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.574803[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.584615[/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]-0.559161[/C][C]Kurtosis (small sample)[/C]-0.792919[/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]-2.531530[/C][C]TEST 1 (small sample)[/C]-1.808952[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.011000[/C][C]TEST 1 Prob. (small sample)[/C]0.070200[/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=103747&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103747&T=0

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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.-0.046211FISHER 4th Cent. Mom.0.080178
FISHER beta 10.304866FISHER beta 22.190150
FISHER gamma 1-0.552147FISHER gamma 2-0.809850
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-2.469275FISHER Test 2-1.810881
FISHER Test 1 Probability0.013600FISHER Test 2 Probability0.068800
Pearson 2-1.190094
Yule using Quartile definition:Weighted Average at Xnp-0.584615
Yule using Quartile definition:Weighted Average at X(n+1)p-0.581395
Yule using Quartile definition:Empirical Distribution Function-0.584615
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.578125
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.574803
Yule using Quartile definition:Closest Observation-0.584615
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.574803
Yule using Quartile definition:MS Excel (old versions)-0.584615
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.559161Kurtosis (small sample)-0.792919
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-2.531530TEST 1 (small sample)-1.808952
TEST 1 Prob. (small sample)0.011000TEST 1 Prob. (small sample)0.070200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.5592000.011000Trim. Kurtosis (0/120)-0.7929000.070200
Trim. Skewness (1/120)-0.6321000.004600Trim. Kurtosis (1/120)-0.8481000.054800
Trim. Skewness (2/120)-0.6614000.003200Trim. Kurtosis (2/120)-0.8263000.062800
Trim. Skewness (3/120)-0.6920000.002200Trim. Kurtosis (3/120)-0.8067000.071800
Trim. Skewness (4/120)-0.7179000.001600Trim. Kurtosis (4/120)-0.7821000.083600
Trim. Skewness (5/120)-0.7358000.001400Trim. Kurtosis (5/120)-0.7569000.097000
Trim. Skewness (6/120)-0.7558000.001200Trim. Kurtosis (6/120)-0.7321000.111800
Trim. Skewness (7/120)-0.7685000.001000Trim. Kurtosis (7/120)-0.7111000.126000
Trim. Skewness (8/120)-0.7820000.001000Trim. Kurtosis (8/120)-0.6923000.138800
Trim. Skewness (9/120)-0.7931000.001000Trim. Kurtosis (9/120)-0.6769000.152800
Trim. Skewness (10/120)-0.7997000.001000Trim. Kurtosis (10/120)-0.6666000.161600
Trim. Skewness (11/120)-0.8078000.001000Trim. Kurtosis (11/120)-0.6558000.173800
Trim. Skewness (12/120)-0.8175000.000800Trim. Kurtosis (12/120)-0.6449000.183600
Trim. Skewness (13/120)-0.8175000.001000Trim. Kurtosis (13/120)-0.6523000.183600
Trim. Skewness (14/120)-0.8186000.001200Trim. Kurtosis (14/120)-0.6550000.186800
Trim. Skewness (15/120)-0.8169000.001200Trim. Kurtosis (15/120)-0.6718000.180200
Trim. Skewness (16/120)-0.8163000.001400Trim. Kurtosis (16/120)-0.6852000.177000
Trim. Skewness (17/120)-0.8120000.001800Trim. Kurtosis (17/120)-0.7183000.161600
Trim. Skewness (18/120)-0.8119000.002000Trim. Kurtosis (18/120)-0.7372000.155600
Trim. Skewness (19/120)-0.8041000.002400Trim. Kurtosis (19/120)-0.7790000.136200
Trim. Skewness (20/120)-0.7988000.002800Trim. Kurtosis (20/120)-0.8197000.121200
Trim. Skewness (21/120)-0.7967000.003400Trim. Kurtosis (21/120)-0.8580000.109600
Trim. Skewness (22/120)-0.8115000.003200Trim. Kurtosis (22/120)-0.8384000.123600
Trim. Skewness (23/120)-0.8246000.003000Trim. Kurtosis (23/120)-0.8231000.133600
Trim. Skewness (24/120)-0.8481000.002600Trim. Kurtosis (24/120)-0.7795000.161600
Trim. Skewness (25/120)-0.8657000.002600Trim. Kurtosis (25/120)-0.7448000.186800
Trim. Skewness (26/120)-0.8843000.002200Trim. Kurtosis (26/120)-0.7117000.215000
Trim. Skewness (27/120)-0.9051000.002200Trim. Kurtosis (27/120)-0.6683000.250200
Trim. Skewness (28/120)-0.9284000.001800Trim. Kurtosis (28/120)-0.6117000.298400
Trim. Skewness (29/120)-0.9578000.001600Trim. Kurtosis (29/120)-0.5373000.368200
Trim. Skewness (30/120)-0.9913000.001200Trim. Kurtosis (30/120)-0.4418000.465400
Trim. Skewness (31/120)-1.0329000.001000Trim. Kurtosis (31/120)-0.3179000.603000
Trim. Skewness (32/120)-1.0723000.000800Trim. Kurtosis (32/120)-0.1884000.764200
Trim. Skewness (33/120)-1.1162000.000600Trim. Kurtosis (33/120)-0.0376000.952200
Trim. Skewness (34/120)-1.1666000.000400Trim. Kurtosis (34/120)0.1555000.810400
Trim. Skewness (35/120)-1.2191000.000200Trim. Kurtosis (35/120)0.3841000.555200
Trim. Skewness (36/120)-1.2693000.000200Trim. Kurtosis (36/120)0.6327000.347200
Trim. Skewness (37/120)-1.3085000.000200Trim. Kurtosis (37/120)0.8724000.204000
Trim. Skewness (38/120)-1.3330000.000200Trim. Kurtosis (38/120)1.0892000.118800
Trim. Skewness (39/120)-1.3542000.000200Trim. Kurtosis (39/120)1.3717000.054800
Trim. Skewness (40/120)-1.3208000.000400Trim. Kurtosis (40/120)1.4956000.040400

\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)-0.5592000.011000 & Trim. Kurtosis (0/120)-0.7929000.070200 \tabularnewline Trim. Skewness (1/120)-0.6321000.004600 & Trim. Kurtosis (1/120)-0.8481000.054800 \tabularnewline Trim. Skewness (2/120)-0.6614000.003200 & Trim. Kurtosis (2/120)-0.8263000.062800 \tabularnewline Trim. Skewness (3/120)-0.6920000.002200 & Trim. Kurtosis (3/120)-0.8067000.071800 \tabularnewline Trim. Skewness (4/120)-0.7179000.001600 & Trim. Kurtosis (4/120)-0.7821000.083600 \tabularnewline Trim. Skewness (5/120)-0.7358000.001400 & Trim. Kurtosis (5/120)-0.7569000.097000 \tabularnewline Trim. Skewness (6/120)-0.7558000.001200 & Trim. Kurtosis (6/120)-0.7321000.111800 \tabularnewline Trim. Skewness (7/120)-0.7685000.001000 & Trim. Kurtosis (7/120)-0.7111000.126000 \tabularnewline Trim. Skewness (8/120)-0.7820000.001000 & Trim. Kurtosis (8/120)-0.6923000.138800 \tabularnewline Trim. Skewness (9/120)-0.7931000.001000 & Trim. Kurtosis (9/120)-0.6769000.152800 \tabularnewline Trim. Skewness (10/120)-0.7997000.001000 & Trim. Kurtosis (10/120)-0.6666000.161600 \tabularnewline Trim. Skewness (11/120)-0.8078000.001000 & Trim. Kurtosis (11/120)-0.6558000.173800 \tabularnewline Trim. Skewness (12/120)-0.8175000.000800 & Trim. Kurtosis (12/120)-0.6449000.183600 \tabularnewline Trim. Skewness (13/120)-0.8175000.001000 & Trim. Kurtosis (13/120)-0.6523000.183600 \tabularnewline Trim. Skewness (14/120)-0.8186000.001200 & Trim. Kurtosis (14/120)-0.6550000.186800 \tabularnewline Trim. Skewness (15/120)-0.8169000.001200 & Trim. Kurtosis (15/120)-0.6718000.180200 \tabularnewline Trim. Skewness (16/120)-0.8163000.001400 & Trim. Kurtosis (16/120)-0.6852000.177000 \tabularnewline Trim. Skewness (17/120)-0.8120000.001800 & Trim. Kurtosis (17/120)-0.7183000.161600 \tabularnewline Trim. Skewness (18/120)-0.8119000.002000 & Trim. Kurtosis (18/120)-0.7372000.155600 \tabularnewline Trim. Skewness (19/120)-0.8041000.002400 & Trim. Kurtosis (19/120)-0.7790000.136200 \tabularnewline Trim. Skewness (20/120)-0.7988000.002800 & Trim. Kurtosis (20/120)-0.8197000.121200 \tabularnewline Trim. Skewness (21/120)-0.7967000.003400 & Trim. Kurtosis (21/120)-0.8580000.109600 \tabularnewline Trim. Skewness (22/120)-0.8115000.003200 & Trim. Kurtosis (22/120)-0.8384000.123600 \tabularnewline Trim. Skewness (23/120)-0.8246000.003000 & Trim. Kurtosis (23/120)-0.8231000.133600 \tabularnewline Trim. Skewness (24/120)-0.8481000.002600 & Trim. Kurtosis (24/120)-0.7795000.161600 \tabularnewline Trim. Skewness (25/120)-0.8657000.002600 & Trim. Kurtosis (25/120)-0.7448000.186800 \tabularnewline Trim. Skewness (26/120)-0.8843000.002200 & Trim. Kurtosis (26/120)-0.7117000.215000 \tabularnewline Trim. Skewness (27/120)-0.9051000.002200 & Trim. Kurtosis (27/120)-0.6683000.250200 \tabularnewline Trim. Skewness (28/120)-0.9284000.001800 & Trim. Kurtosis (28/120)-0.6117000.298400 \tabularnewline Trim. Skewness (29/120)-0.9578000.001600 & Trim. Kurtosis (29/120)-0.5373000.368200 \tabularnewline Trim. Skewness (30/120)-0.9913000.001200 & Trim. Kurtosis (30/120)-0.4418000.465400 \tabularnewline Trim. Skewness (31/120)-1.0329000.001000 & Trim. Kurtosis (31/120)-0.3179000.603000 \tabularnewline Trim. Skewness (32/120)-1.0723000.000800 & Trim. Kurtosis (32/120)-0.1884000.764200 \tabularnewline Trim. Skewness (33/120)-1.1162000.000600 & Trim. Kurtosis (33/120)-0.0376000.952200 \tabularnewline Trim. Skewness (34/120)-1.1666000.000400 & Trim. Kurtosis (34/120)0.1555000.810400 \tabularnewline Trim. Skewness (35/120)-1.2191000.000200 & Trim. Kurtosis (35/120)0.3841000.555200 \tabularnewline Trim. Skewness (36/120)-1.2693000.000200 & Trim. Kurtosis (36/120)0.6327000.347200 \tabularnewline Trim. Skewness (37/120)-1.3085000.000200 & Trim. Kurtosis (37/120)0.8724000.204000 \tabularnewline Trim. Skewness (38/120)-1.3330000.000200 & Trim. Kurtosis (38/120)1.0892000.118800 \tabularnewline Trim. Skewness (39/120)-1.3542000.000200 & Trim. Kurtosis (39/120)1.3717000.054800 \tabularnewline Trim. Skewness (40/120)-1.3208000.000400 & Trim. Kurtosis (40/120)1.4956000.040400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103747&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]-0.559200[/C]0.011000[/C][C]Trim. Kurtosis (0/120)[/C]-0.792900[/C]0.070200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.632100[/C]0.004600[/C][C]Trim. Kurtosis (1/120)[/C]-0.848100[/C]0.054800[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.661400[/C]0.003200[/C][C]Trim. Kurtosis (2/120)[/C]-0.826300[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.692000[/C]0.002200[/C][C]Trim. Kurtosis (3/120)[/C]-0.806700[/C]0.071800[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.717900[/C]0.001600[/C][C]Trim. Kurtosis (4/120)[/C]-0.782100[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.735800[/C]0.001400[/C][C]Trim. Kurtosis (5/120)[/C]-0.756900[/C]0.097000[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.755800[/C]0.001200[/C][C]Trim. Kurtosis (6/120)[/C]-0.732100[/C]0.111800[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.768500[/C]0.001000[/C][C]Trim. Kurtosis (7/120)[/C]-0.711100[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.782000[/C]0.001000[/C][C]Trim. Kurtosis (8/120)[/C]-0.692300[/C]0.138800[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.793100[/C]0.001000[/C][C]Trim. Kurtosis (9/120)[/C]-0.676900[/C]0.152800[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.799700[/C]0.001000[/C][C]Trim. Kurtosis (10/120)[/C]-0.666600[/C]0.161600[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.807800[/C]0.001000[/C][C]Trim. Kurtosis (11/120)[/C]-0.655800[/C]0.173800[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.817500[/C]0.000800[/C][C]Trim. Kurtosis (12/120)[/C]-0.644900[/C]0.183600[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.817500[/C]0.001000[/C][C]Trim. Kurtosis (13/120)[/C]-0.652300[/C]0.183600[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.818600[/C]0.001200[/C][C]Trim. Kurtosis (14/120)[/C]-0.655000[/C]0.186800[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.816900[/C]0.001200[/C][C]Trim. Kurtosis (15/120)[/C]-0.671800[/C]0.180200[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.816300[/C]0.001400[/C][C]Trim. Kurtosis (16/120)[/C]-0.685200[/C]0.177000[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.812000[/C]0.001800[/C][C]Trim. Kurtosis (17/120)[/C]-0.718300[/C]0.161600[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.811900[/C]0.002000[/C][C]Trim. Kurtosis (18/120)[/C]-0.737200[/C]0.155600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.804100[/C]0.002400[/C][C]Trim. Kurtosis (19/120)[/C]-0.779000[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.798800[/C]0.002800[/C][C]Trim. Kurtosis (20/120)[/C]-0.819700[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.796700[/C]0.003400[/C][C]Trim. Kurtosis (21/120)[/C]-0.858000[/C]0.109600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.811500[/C]0.003200[/C][C]Trim. Kurtosis (22/120)[/C]-0.838400[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.824600[/C]0.003000[/C][C]Trim. Kurtosis (23/120)[/C]-0.823100[/C]0.133600[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.848100[/C]0.002600[/C][C]Trim. Kurtosis (24/120)[/C]-0.779500[/C]0.161600[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.865700[/C]0.002600[/C][C]Trim. Kurtosis (25/120)[/C]-0.744800[/C]0.186800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.884300[/C]0.002200[/C][C]Trim. Kurtosis (26/120)[/C]-0.711700[/C]0.215000[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.905100[/C]0.002200[/C][C]Trim. Kurtosis (27/120)[/C]-0.668300[/C]0.250200[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.928400[/C]0.001800[/C][C]Trim. Kurtosis (28/120)[/C]-0.611700[/C]0.298400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.957800[/C]0.001600[/C][C]Trim. Kurtosis (29/120)[/C]-0.537300[/C]0.368200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.991300[/C]0.001200[/C][C]Trim. Kurtosis (30/120)[/C]-0.441800[/C]0.465400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-1.032900[/C]0.001000[/C][C]Trim. Kurtosis (31/120)[/C]-0.317900[/C]0.603000[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-1.072300[/C]0.000800[/C][C]Trim. Kurtosis (32/120)[/C]-0.188400[/C]0.764200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-1.116200[/C]0.000600[/C][C]Trim. Kurtosis (33/120)[/C]-0.037600[/C]0.952200[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-1.166600[/C]0.000400[/C][C]Trim. Kurtosis (34/120)[/C]0.155500[/C]0.810400[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-1.219100[/C]0.000200[/C][C]Trim. Kurtosis (35/120)[/C]0.384100[/C]0.555200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-1.269300[/C]0.000200[/C][C]Trim. Kurtosis (36/120)[/C]0.632700[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-1.308500[/C]0.000200[/C][C]Trim. Kurtosis (37/120)[/C]0.872400[/C]0.204000[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-1.333000[/C]0.000200[/C][C]Trim. Kurtosis (38/120)[/C]1.089200[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-1.354200[/C]0.000200[/C][C]Trim. Kurtosis (39/120)[/C]1.371700[/C]0.054800[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-1.320800[/C]0.000400[/C][C]Trim. Kurtosis (40/120)[/C]1.495600[/C]0.040400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103747&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103747&T=1

As an alternative you can also use a QR Code:  
QR Code


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)-0.5592000.011000Trim. Kurtosis (0/120)-0.7929000.070200
Trim. Skewness (1/120)-0.6321000.004600Trim. Kurtosis (1/120)-0.8481000.054800
Trim. Skewness (2/120)-0.6614000.003200Trim. Kurtosis (2/120)-0.8263000.062800
Trim. Skewness (3/120)-0.6920000.002200Trim. Kurtosis (3/120)-0.8067000.071800
Trim. Skewness (4/120)-0.7179000.001600Trim. Kurtosis (4/120)-0.7821000.083600
Trim. Skewness (5/120)-0.7358000.001400Trim. Kurtosis (5/120)-0.7569000.097000
Trim. Skewness (6/120)-0.7558000.001200Trim. Kurtosis (6/120)-0.7321000.111800
Trim. Skewness (7/120)-0.7685000.001000Trim. Kurtosis (7/120)-0.7111000.126000
Trim. Skewness (8/120)-0.7820000.001000Trim. Kurtosis (8/120)-0.6923000.138800
Trim. Skewness (9/120)-0.7931000.001000Trim. Kurtosis (9/120)-0.6769000.152800
Trim. Skewness (10/120)-0.7997000.001000Trim. Kurtosis (10/120)-0.6666000.161600
Trim. Skewness (11/120)-0.8078000.001000Trim. Kurtosis (11/120)-0.6558000.173800
Trim. Skewness (12/120)-0.8175000.000800Trim. Kurtosis (12/120)-0.6449000.183600
Trim. Skewness (13/120)-0.8175000.001000Trim. Kurtosis (13/120)-0.6523000.183600
Trim. Skewness (14/120)-0.8186000.001200Trim. Kurtosis (14/120)-0.6550000.186800
Trim. Skewness (15/120)-0.8169000.001200Trim. Kurtosis (15/120)-0.6718000.180200
Trim. Skewness (16/120)-0.8163000.001400Trim. Kurtosis (16/120)-0.6852000.177000
Trim. Skewness (17/120)-0.8120000.001800Trim. Kurtosis (17/120)-0.7183000.161600
Trim. Skewness (18/120)-0.8119000.002000Trim. Kurtosis (18/120)-0.7372000.155600
Trim. Skewness (19/120)-0.8041000.002400Trim. Kurtosis (19/120)-0.7790000.136200
Trim. Skewness (20/120)-0.7988000.002800Trim. Kurtosis (20/120)-0.8197000.121200
Trim. Skewness (21/120)-0.7967000.003400Trim. Kurtosis (21/120)-0.8580000.109600
Trim. Skewness (22/120)-0.8115000.003200Trim. Kurtosis (22/120)-0.8384000.123600
Trim. Skewness (23/120)-0.8246000.003000Trim. Kurtosis (23/120)-0.8231000.133600
Trim. Skewness (24/120)-0.8481000.002600Trim. Kurtosis (24/120)-0.7795000.161600
Trim. Skewness (25/120)-0.8657000.002600Trim. Kurtosis (25/120)-0.7448000.186800
Trim. Skewness (26/120)-0.8843000.002200Trim. Kurtosis (26/120)-0.7117000.215000
Trim. Skewness (27/120)-0.9051000.002200Trim. Kurtosis (27/120)-0.6683000.250200
Trim. Skewness (28/120)-0.9284000.001800Trim. Kurtosis (28/120)-0.6117000.298400
Trim. Skewness (29/120)-0.9578000.001600Trim. Kurtosis (29/120)-0.5373000.368200
Trim. Skewness (30/120)-0.9913000.001200Trim. Kurtosis (30/120)-0.4418000.465400
Trim. Skewness (31/120)-1.0329000.001000Trim. Kurtosis (31/120)-0.3179000.603000
Trim. Skewness (32/120)-1.0723000.000800Trim. Kurtosis (32/120)-0.1884000.764200
Trim. Skewness (33/120)-1.1162000.000600Trim. Kurtosis (33/120)-0.0376000.952200
Trim. Skewness (34/120)-1.1666000.000400Trim. Kurtosis (34/120)0.1555000.810400
Trim. Skewness (35/120)-1.2191000.000200Trim. Kurtosis (35/120)0.3841000.555200
Trim. Skewness (36/120)-1.2693000.000200Trim. Kurtosis (36/120)0.6327000.347200
Trim. Skewness (37/120)-1.3085000.000200Trim. Kurtosis (37/120)0.8724000.204000
Trim. Skewness (38/120)-1.3330000.000200Trim. Kurtosis (38/120)1.0892000.118800
Trim. Skewness (39/120)-1.3542000.000200Trim. Kurtosis (39/120)1.3717000.054800
Trim. Skewness (40/120)-1.3208000.000400Trim. Kurtosis (40/120)1.4956000.040400


Figures (Output of Computation)

Input Parameters & R Code

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