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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 18:49:43 +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/t1291142863miojbre368nm7nd.htm/, Retrieved Mon, 29 Apr 2024 10:59:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103741, Retrieved Mon, 29 Apr 2024 10:59:37 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131

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 18:49:43] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
12,12
12,74
12,19
11,78
11,81
12,26
12,10
11,51
11,62
11,08
10,81
11,22
10,63
10,42
11,05
12,16
12,44
12,59
12,59
12,56
12,48
12,48
12,48
12,40
12,43
12,38
12,80
12,40
13,11
12,58
12,11
12,22
12,59
12,56
12,63
12,50
12,47
13,29
13,08
13,38
13,37
13,13
13,24
12,90
13,97
13,28
12,72
12,42
13,12
13,03
12,91
13,10
12,84
13,63
13,72
14,12
14,48
13,64
14,50
14,90
16,73
17,05
16,16
17,25
16,84
17,05
16,29
15,99
15,89
14,91
15,07
15,45
15,38
15,26
14,98
13,61
13,26
13,48
13,28
13,10
13,22
12,89
13,82
13,81
13,88
13,53
13,61
14,27
14,62
15,98
15,25
15,82
15,81
14,10
14,03
13,74
14,78
14,79
15,53
15,89
18,14
18,31
17,77
17,42
16,82
15,23
14,80
15,97
15,05
14,92
14,22
14,14
14,31
14,25
14,27
15,30
15,11
15,29
16,91
16,55

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.2.351264FISHER 4th Cent. Mom.22.862993
FISHER beta 10.215770FISHER beta 22.630626
FISHER gamma 10.464511FISHER gamma 2-0.369374
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.077356FISHER Test 2-0.825946
FISHER Test 1 Probability0.037600FISHER Test 2 Probability0.406600
Pearson 20.508209
Yule using Quartile definition:Weighted Average at Xnp0.163347
Yule using Quartile definition:Weighted Average at X(n+1)p0.175542
Yule using Quartile definition:Empirical Distribution Function0.163347
Yule using Quartile definition:Empirical Distribution Function - Averaging0.174603
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.173653
Yule using Quartile definition:Closest Observation0.163347
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.173653
Yule using Quartile definition:MS Excel (old versions)0.176471
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.470412Kurtosis (small sample)-0.333523
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)2.129730TEST 1 (small sample)-0.760895
TEST 1 Prob. (small sample)0.033200TEST 1 Prob. (small sample)0.441200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.2.351264 & FISHER 4th Cent. Mom.22.862993 \tabularnewline FISHER beta 10.215770 & FISHER beta 22.630626 \tabularnewline FISHER gamma 10.464511 & FISHER gamma 2-0.369374 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 12.077356 & FISHER Test 2-0.825946 \tabularnewline FISHER Test 1 Probability0.037600 & FISHER Test 2 Probability0.406600 \tabularnewline Pearson 20.508209 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.163347 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.175542 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.163347 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.174603 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.173653 & & \tabularnewline Yule using Quartile definition:Closest Observation0.163347 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.173653 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.176471 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.470412 & Kurtosis (small sample)-0.333523 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)2.129730 & TEST 1 (small sample)-0.760895 \tabularnewline TEST 1 Prob. (small sample)0.033200 & TEST 1 Prob. (small sample)0.441200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103741&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]2.351264[/C][C]FISHER 4th Cent. Mom.[/C]22.862993[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.215770[/C][C]FISHER beta 2[/C]2.630626[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.464511[/C][C]FISHER gamma 2[/C]-0.369374[/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]2.077356[/C][C]FISHER Test 2[/C]-0.825946[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.037600[/C][C]FISHER Test 2 Probability[/C]0.406600[/C][/ROW] [ROW][C]Pearson 2[/C]0.508209[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.163347[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.175542[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.163347[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.174603[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.173653[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.163347[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.173653[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.176471[/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]0.470412[/C][C]Kurtosis (small sample)[/C]-0.333523[/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]2.129730[/C][C]TEST 1 (small sample)[/C]-0.760895[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.033200[/C][C]TEST 1 Prob. (small sample)[/C]0.441200[/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=103741&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103741&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.2.351264FISHER 4th Cent. Mom.22.862993
FISHER beta 10.215770FISHER beta 22.630626
FISHER gamma 10.464511FISHER gamma 2-0.369374
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.077356FISHER Test 2-0.825946
FISHER Test 1 Probability0.037600FISHER Test 2 Probability0.406600
Pearson 20.508209
Yule using Quartile definition:Weighted Average at Xnp0.163347
Yule using Quartile definition:Weighted Average at X(n+1)p0.175542
Yule using Quartile definition:Empirical Distribution Function0.163347
Yule using Quartile definition:Empirical Distribution Function - Averaging0.174603
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.173653
Yule using Quartile definition:Closest Observation0.163347
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.173653
Yule using Quartile definition:MS Excel (old versions)0.176471
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.470412Kurtosis (small sample)-0.333523
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)2.129730TEST 1 (small sample)-0.760895
TEST 1 Prob. (small sample)0.033200TEST 1 Prob. (small sample)0.441200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.4704000.033200Trim. Kurtosis (0/120)-0.3335000.441200
Trim. Skewness (1/120)0.4686000.034800Trim. Kurtosis (1/120)-0.4370000.322200
Trim. Skewness (2/120)0.4600000.040400Trim. Kurtosis (2/120)-0.5552000.211200
Trim. Skewness (3/120)0.4617000.041400Trim. Kurtosis (3/120)-0.6379000.155600
Trim. Skewness (4/120)0.4690000.039400Trim. Kurtosis (4/120)-0.6785000.133600
Trim. Skewness (5/120)0.4844000.034800Trim. Kurtosis (5/120)-0.7196000.114200
Trim. Skewness (6/120)0.5035000.030000Trim. Kurtosis (6/120)-0.7460000.105200
Trim. Skewness (7/120)0.5040000.031600Trim. Kurtosis (7/120)-0.7808000.093000
Trim. Skewness (8/120)0.5045000.032400Trim. Kurtosis (8/120)-0.8102000.083600
Trim. Skewness (9/120)0.4970000.037600Trim. Kurtosis (9/120)-0.8455000.073400
Trim. Skewness (10/120)0.4835000.044400Trim. Kurtosis (10/120)-0.9069000.057400
Trim. Skewness (11/120)0.4550000.061400Trim. Kurtosis (11/120)-0.9750000.043400
Trim. Skewness (12/120)0.4321000.078400Trim. Kurtosis (12/120)-1.0301000.034000
Trim. Skewness (13/120)0.4229000.087200Trim. Kurtosis (13/120)-1.0508000.032400
Trim. Skewness (14/120)0.4169000.097000Trim. Kurtosis (14/120)-1.0618000.032400
Trim. Skewness (15/120)0.4181000.099000Trim. Kurtosis (15/120)-1.0551000.035800
Trim. Skewness (16/120)0.4160000.105200Trim. Kurtosis (16/120)-1.0553000.037600
Trim. Skewness (17/120)0.4089000.114200Trim. Kurtosis (17/120)-1.0656000.037600
Trim. Skewness (18/120)0.3979000.128600Trim. Kurtosis (18/120)-1.0718000.038400
Trim. Skewness (19/120)0.3798000.152800Trim. Kurtosis (19/120)-1.0946000.036600
Trim. Skewness (20/120)0.3612000.177000Trim. Kurtosis (20/120)-1.1208000.034800
Trim. Skewness (21/120)0.3337000.218600Trim. Kurtosis (21/120)-1.1707000.029200
Trim. Skewness (22/120)0.3277000.234000Trim. Kurtosis (22/120)-1.1685000.031600
Trim. Skewness (23/120)0.3250000.242000Trim. Kurtosis (23/120)-1.1598000.034800
Trim. Skewness (24/120)0.3236000.250200Trim. Kurtosis (24/120)-1.1448000.040400
Trim. Skewness (25/120)0.3265000.254200Trim. Kurtosis (25/120)-1.1210000.047800
Trim. Skewness (26/120)0.3285000.258400Trim. Kurtosis (26/120)-1.1008000.054800
Trim. Skewness (27/120)0.3313000.258400Trim. Kurtosis (27/120)-1.0820000.062800
Trim. Skewness (28/120)0.3304000.267000Trim. Kurtosis (28/120)-1.0709000.068800
Trim. Skewness (29/120)0.3212000.289200Trim. Kurtosis (29/120)-1.0669000.073400
Trim. Skewness (30/120)0.3238000.293800Trim. Kurtosis (30/120)-1.0422000.085400
Trim. Skewness (31/120)0.3267000.293800Trim. Kurtosis (31/120)-1.0160000.099000
Trim. Skewness (32/120)0.3277000.303000Trim. Kurtosis (32/120)-0.9974000.111800
Trim. Skewness (33/120)0.3376000.293800Trim. Kurtosis (33/120)-0.9724000.126000
Trim. Skewness (34/120)0.3583000.275800Trim. Kurtosis (34/120)-0.9452000.144200
Trim. Skewness (35/120)0.3734000.267000Trim. Kurtosis (35/120)-0.9334000.155600
Trim. Skewness (36/120)0.3653000.284600Trim. Kurtosis (36/120)-0.9443000.158600
Trim. Skewness (37/120)0.3709000.289200Trim. Kurtosis (37/120)-0.9362000.170600
Trim. Skewness (38/120)0.3523000.322200Trim. Kurtosis (38/120)-0.9715000.164600
Trim. Skewness (39/120)0.2970000.412200Trim. Kurtosis (39/120)-1.1124000.118800
Trim. Skewness (40/120)0.2666000.471600Trim. Kurtosis (40/120)-1.1815000.105200

\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)0.4704000.033200 & Trim. Kurtosis (0/120)-0.3335000.441200 \tabularnewline Trim. Skewness (1/120)0.4686000.034800 & Trim. Kurtosis (1/120)-0.4370000.322200 \tabularnewline Trim. Skewness (2/120)0.4600000.040400 & Trim. Kurtosis (2/120)-0.5552000.211200 \tabularnewline Trim. Skewness (3/120)0.4617000.041400 & Trim. Kurtosis (3/120)-0.6379000.155600 \tabularnewline Trim. Skewness (4/120)0.4690000.039400 & Trim. Kurtosis (4/120)-0.6785000.133600 \tabularnewline Trim. Skewness (5/120)0.4844000.034800 & Trim. Kurtosis (5/120)-0.7196000.114200 \tabularnewline Trim. Skewness (6/120)0.5035000.030000 & Trim. Kurtosis (6/120)-0.7460000.105200 \tabularnewline Trim. Skewness (7/120)0.5040000.031600 & Trim. Kurtosis (7/120)-0.7808000.093000 \tabularnewline Trim. Skewness (8/120)0.5045000.032400 & Trim. Kurtosis (8/120)-0.8102000.083600 \tabularnewline Trim. Skewness (9/120)0.4970000.037600 & Trim. Kurtosis (9/120)-0.8455000.073400 \tabularnewline Trim. Skewness (10/120)0.4835000.044400 & Trim. Kurtosis (10/120)-0.9069000.057400 \tabularnewline Trim. Skewness (11/120)0.4550000.061400 & Trim. Kurtosis (11/120)-0.9750000.043400 \tabularnewline Trim. Skewness (12/120)0.4321000.078400 & Trim. Kurtosis (12/120)-1.0301000.034000 \tabularnewline Trim. Skewness (13/120)0.4229000.087200 & Trim. Kurtosis (13/120)-1.0508000.032400 \tabularnewline Trim. Skewness (14/120)0.4169000.097000 & Trim. Kurtosis (14/120)-1.0618000.032400 \tabularnewline Trim. Skewness (15/120)0.4181000.099000 & Trim. Kurtosis (15/120)-1.0551000.035800 \tabularnewline Trim. Skewness (16/120)0.4160000.105200 & Trim. Kurtosis (16/120)-1.0553000.037600 \tabularnewline Trim. Skewness (17/120)0.4089000.114200 & Trim. Kurtosis (17/120)-1.0656000.037600 \tabularnewline Trim. Skewness (18/120)0.3979000.128600 & Trim. Kurtosis (18/120)-1.0718000.038400 \tabularnewline Trim. Skewness (19/120)0.3798000.152800 & Trim. Kurtosis (19/120)-1.0946000.036600 \tabularnewline Trim. Skewness (20/120)0.3612000.177000 & Trim. Kurtosis (20/120)-1.1208000.034800 \tabularnewline Trim. Skewness (21/120)0.3337000.218600 & Trim. Kurtosis (21/120)-1.1707000.029200 \tabularnewline Trim. Skewness (22/120)0.3277000.234000 & Trim. Kurtosis (22/120)-1.1685000.031600 \tabularnewline Trim. Skewness (23/120)0.3250000.242000 & Trim. Kurtosis (23/120)-1.1598000.034800 \tabularnewline Trim. Skewness (24/120)0.3236000.250200 & Trim. Kurtosis (24/120)-1.1448000.040400 \tabularnewline Trim. Skewness (25/120)0.3265000.254200 & Trim. Kurtosis (25/120)-1.1210000.047800 \tabularnewline Trim. Skewness (26/120)0.3285000.258400 & Trim. Kurtosis (26/120)-1.1008000.054800 \tabularnewline Trim. Skewness (27/120)0.3313000.258400 & Trim. Kurtosis (27/120)-1.0820000.062800 \tabularnewline Trim. Skewness (28/120)0.3304000.267000 & Trim. Kurtosis (28/120)-1.0709000.068800 \tabularnewline Trim. Skewness (29/120)0.3212000.289200 & Trim. Kurtosis (29/120)-1.0669000.073400 \tabularnewline Trim. Skewness (30/120)0.3238000.293800 & Trim. Kurtosis (30/120)-1.0422000.085400 \tabularnewline Trim. Skewness (31/120)0.3267000.293800 & Trim. Kurtosis (31/120)-1.0160000.099000 \tabularnewline Trim. Skewness (32/120)0.3277000.303000 & Trim. Kurtosis (32/120)-0.9974000.111800 \tabularnewline Trim. Skewness (33/120)0.3376000.293800 & Trim. Kurtosis (33/120)-0.9724000.126000 \tabularnewline Trim. Skewness (34/120)0.3583000.275800 & Trim. Kurtosis (34/120)-0.9452000.144200 \tabularnewline Trim. Skewness (35/120)0.3734000.267000 & Trim. Kurtosis (35/120)-0.9334000.155600 \tabularnewline Trim. Skewness (36/120)0.3653000.284600 & Trim. Kurtosis (36/120)-0.9443000.158600 \tabularnewline Trim. Skewness (37/120)0.3709000.289200 & Trim. Kurtosis (37/120)-0.9362000.170600 \tabularnewline Trim. Skewness (38/120)0.3523000.322200 & Trim. Kurtosis (38/120)-0.9715000.164600 \tabularnewline Trim. Skewness (39/120)0.2970000.412200 & Trim. Kurtosis (39/120)-1.1124000.118800 \tabularnewline Trim. Skewness (40/120)0.2666000.471600 & Trim. Kurtosis (40/120)-1.1815000.105200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103741&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]0.470400[/C]0.033200[/C][C]Trim. Kurtosis (0/120)[/C]-0.333500[/C]0.441200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.468600[/C]0.034800[/C][C]Trim. Kurtosis (1/120)[/C]-0.437000[/C]0.322200[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.460000[/C]0.040400[/C][C]Trim. Kurtosis (2/120)[/C]-0.555200[/C]0.211200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.461700[/C]0.041400[/C][C]Trim. Kurtosis (3/120)[/C]-0.637900[/C]0.155600[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.469000[/C]0.039400[/C][C]Trim. Kurtosis (4/120)[/C]-0.678500[/C]0.133600[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.484400[/C]0.034800[/C][C]Trim. Kurtosis (5/120)[/C]-0.719600[/C]0.114200[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.503500[/C]0.030000[/C][C]Trim. Kurtosis (6/120)[/C]-0.746000[/C]0.105200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.504000[/C]0.031600[/C][C]Trim. Kurtosis (7/120)[/C]-0.780800[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.504500[/C]0.032400[/C][C]Trim. Kurtosis (8/120)[/C]-0.810200[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.497000[/C]0.037600[/C][C]Trim. Kurtosis (9/120)[/C]-0.845500[/C]0.073400[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.483500[/C]0.044400[/C][C]Trim. Kurtosis (10/120)[/C]-0.906900[/C]0.057400[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.455000[/C]0.061400[/C][C]Trim. Kurtosis (11/120)[/C]-0.975000[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.432100[/C]0.078400[/C][C]Trim. Kurtosis (12/120)[/C]-1.030100[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.422900[/C]0.087200[/C][C]Trim. Kurtosis (13/120)[/C]-1.050800[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.416900[/C]0.097000[/C][C]Trim. Kurtosis (14/120)[/C]-1.061800[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.418100[/C]0.099000[/C][C]Trim. Kurtosis (15/120)[/C]-1.055100[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.416000[/C]0.105200[/C][C]Trim. Kurtosis (16/120)[/C]-1.055300[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.408900[/C]0.114200[/C][C]Trim. Kurtosis (17/120)[/C]-1.065600[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.397900[/C]0.128600[/C][C]Trim. Kurtosis (18/120)[/C]-1.071800[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.379800[/C]0.152800[/C][C]Trim. Kurtosis (19/120)[/C]-1.094600[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.361200[/C]0.177000[/C][C]Trim. Kurtosis (20/120)[/C]-1.120800[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.333700[/C]0.218600[/C][C]Trim. Kurtosis (21/120)[/C]-1.170700[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.327700[/C]0.234000[/C][C]Trim. Kurtosis (22/120)[/C]-1.168500[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.325000[/C]0.242000[/C][C]Trim. Kurtosis (23/120)[/C]-1.159800[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.323600[/C]0.250200[/C][C]Trim. Kurtosis (24/120)[/C]-1.144800[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.326500[/C]0.254200[/C][C]Trim. Kurtosis (25/120)[/C]-1.121000[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.328500[/C]0.258400[/C][C]Trim. Kurtosis (26/120)[/C]-1.100800[/C]0.054800[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.331300[/C]0.258400[/C][C]Trim. Kurtosis (27/120)[/C]-1.082000[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.330400[/C]0.267000[/C][C]Trim. Kurtosis (28/120)[/C]-1.070900[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.321200[/C]0.289200[/C][C]Trim. Kurtosis (29/120)[/C]-1.066900[/C]0.073400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.323800[/C]0.293800[/C][C]Trim. Kurtosis (30/120)[/C]-1.042200[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.326700[/C]0.293800[/C][C]Trim. Kurtosis (31/120)[/C]-1.016000[/C]0.099000[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.327700[/C]0.303000[/C][C]Trim. Kurtosis (32/120)[/C]-0.997400[/C]0.111800[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.337600[/C]0.293800[/C][C]Trim. Kurtosis (33/120)[/C]-0.972400[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.358300[/C]0.275800[/C][C]Trim. Kurtosis (34/120)[/C]-0.945200[/C]0.144200[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.373400[/C]0.267000[/C][C]Trim. Kurtosis (35/120)[/C]-0.933400[/C]0.155600[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.365300[/C]0.284600[/C][C]Trim. Kurtosis (36/120)[/C]-0.944300[/C]0.158600[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.370900[/C]0.289200[/C][C]Trim. Kurtosis (37/120)[/C]-0.936200[/C]0.170600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.352300[/C]0.322200[/C][C]Trim. Kurtosis (38/120)[/C]-0.971500[/C]0.164600[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.297000[/C]0.412200[/C][C]Trim. Kurtosis (39/120)[/C]-1.112400[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.266600[/C]0.471600[/C][C]Trim. Kurtosis (40/120)[/C]-1.181500[/C]0.105200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103741&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103741&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)0.4704000.033200Trim. Kurtosis (0/120)-0.3335000.441200
Trim. Skewness (1/120)0.4686000.034800Trim. Kurtosis (1/120)-0.4370000.322200
Trim. Skewness (2/120)0.4600000.040400Trim. Kurtosis (2/120)-0.5552000.211200
Trim. Skewness (3/120)0.4617000.041400Trim. Kurtosis (3/120)-0.6379000.155600
Trim. Skewness (4/120)0.4690000.039400Trim. Kurtosis (4/120)-0.6785000.133600
Trim. Skewness (5/120)0.4844000.034800Trim. Kurtosis (5/120)-0.7196000.114200
Trim. Skewness (6/120)0.5035000.030000Trim. Kurtosis (6/120)-0.7460000.105200
Trim. Skewness (7/120)0.5040000.031600Trim. Kurtosis (7/120)-0.7808000.093000
Trim. Skewness (8/120)0.5045000.032400Trim. Kurtosis (8/120)-0.8102000.083600
Trim. Skewness (9/120)0.4970000.037600Trim. Kurtosis (9/120)-0.8455000.073400
Trim. Skewness (10/120)0.4835000.044400Trim. Kurtosis (10/120)-0.9069000.057400
Trim. Skewness (11/120)0.4550000.061400Trim. Kurtosis (11/120)-0.9750000.043400
Trim. Skewness (12/120)0.4321000.078400Trim. Kurtosis (12/120)-1.0301000.034000
Trim. Skewness (13/120)0.4229000.087200Trim. Kurtosis (13/120)-1.0508000.032400
Trim. Skewness (14/120)0.4169000.097000Trim. Kurtosis (14/120)-1.0618000.032400
Trim. Skewness (15/120)0.4181000.099000Trim. Kurtosis (15/120)-1.0551000.035800
Trim. Skewness (16/120)0.4160000.105200Trim. Kurtosis (16/120)-1.0553000.037600
Trim. Skewness (17/120)0.4089000.114200Trim. Kurtosis (17/120)-1.0656000.037600
Trim. Skewness (18/120)0.3979000.128600Trim. Kurtosis (18/120)-1.0718000.038400
Trim. Skewness (19/120)0.3798000.152800Trim. Kurtosis (19/120)-1.0946000.036600
Trim. Skewness (20/120)0.3612000.177000Trim. Kurtosis (20/120)-1.1208000.034800
Trim. Skewness (21/120)0.3337000.218600Trim. Kurtosis (21/120)-1.1707000.029200
Trim. Skewness (22/120)0.3277000.234000Trim. Kurtosis (22/120)-1.1685000.031600
Trim. Skewness (23/120)0.3250000.242000Trim. Kurtosis (23/120)-1.1598000.034800
Trim. Skewness (24/120)0.3236000.250200Trim. Kurtosis (24/120)-1.1448000.040400
Trim. Skewness (25/120)0.3265000.254200Trim. Kurtosis (25/120)-1.1210000.047800
Trim. Skewness (26/120)0.3285000.258400Trim. Kurtosis (26/120)-1.1008000.054800
Trim. Skewness (27/120)0.3313000.258400Trim. Kurtosis (27/120)-1.0820000.062800
Trim. Skewness (28/120)0.3304000.267000Trim. Kurtosis (28/120)-1.0709000.068800
Trim. Skewness (29/120)0.3212000.289200Trim. Kurtosis (29/120)-1.0669000.073400
Trim. Skewness (30/120)0.3238000.293800Trim. Kurtosis (30/120)-1.0422000.085400
Trim. Skewness (31/120)0.3267000.293800Trim. Kurtosis (31/120)-1.0160000.099000
Trim. Skewness (32/120)0.3277000.303000Trim. Kurtosis (32/120)-0.9974000.111800
Trim. Skewness (33/120)0.3376000.293800Trim. Kurtosis (33/120)-0.9724000.126000
Trim. Skewness (34/120)0.3583000.275800Trim. Kurtosis (34/120)-0.9452000.144200
Trim. Skewness (35/120)0.3734000.267000Trim. Kurtosis (35/120)-0.9334000.155600
Trim. Skewness (36/120)0.3653000.284600Trim. Kurtosis (36/120)-0.9443000.158600
Trim. Skewness (37/120)0.3709000.289200Trim. Kurtosis (37/120)-0.9362000.170600
Trim. Skewness (38/120)0.3523000.322200Trim. Kurtosis (38/120)-0.9715000.164600
Trim. Skewness (39/120)0.2970000.412200Trim. Kurtosis (39/120)-1.1124000.118800
Trim. Skewness (40/120)0.2666000.471600Trim. Kurtosis (40/120)-1.1815000.105200


Figures (Output of Computation)

Input Parameters & R Code

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