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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 18:51:46 +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/t1291142988i7tlwhgxvz6b0qb.htm/, Retrieved Mon, 29 Apr 2024 15:36:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103744, Retrieved Mon, 29 Apr 2024 15:36:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact140

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 18:51:46] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
22,22
21,28
22,25
23,01
23,01
22,18
22,50
23,68
23,53
24,69
25,29
24,49
25,90
26,48
25,08
22,98
22,44
22,20
22,18
22,25
22,44
22,44
22,42
22,56
22,53
22,66
21,89
22,62
21,51
22,44
23,39
23,19
22,53
22,58
22,45
22,69
22,75
21,44
21,82
21,34
21,37
21,74
21,59
22,17
20,67
21,79
22,81
23,38
22,14
22,33
22,53
22,27
22,71
21,44
21,31
20,73
20,25
21,62
20,39
19,86
17,90
17,60
18,64
17,57
17,98
17,78
18,36
18,66
18,99
19,18
20,47
20,24
19,77
19,89
20,02
20,45
22,73
23,34
22,96
23,34
23,70
23,48
24,12
22,61
22,60
22,50
23,12
22,94
21,98
21,49
19,80
20,82
20,11
20,14
22,94
23,06
23,57
22,01
22,05
21,04
20,58
18,31
18,18
18,73
19,09
19,83
22,20
22,80
21,28
22,63
22,90
24,09
24,19
23,92
24,03
24,04
22,49
22,82
22,60
20,64

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-2.689967FISHER 4th Cent. Mom.32.249737
FISHER beta 10.219938FISHER beta 23.140971
FISHER gamma 1-0.468976FISHER gamma 20.140971
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-2.097323FISHER Test 20.315222
FISHER Test 1 Probability0.035800FISHER Test 2 Probability0.749000
Pearson 2-0.660202
Yule using Quartile definition:Weighted Average at Xnp-0.426009
Yule using Quartile definition:Weighted Average at X(n+1)p-0.403118
Yule using Quartile definition:Empirical Distribution Function-0.426009
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.405405
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.407745
Yule using Quartile definition:Closest Observation-0.426009
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.407745
Yule using Quartile definition:MS Excel (old versions)-0.400881
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.474933Kurtosis (small sample)0.198743
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-2.150201TEST 1 (small sample)0.453409
TEST 1 Prob. (small sample)0.030800TEST 1 Prob. (small sample)0.645600
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-2.689967 & FISHER 4th Cent. Mom.32.249737 \tabularnewline FISHER beta 10.219938 & FISHER beta 23.140971 \tabularnewline FISHER gamma 1-0.468976 & FISHER gamma 20.140971 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-2.097323 & FISHER Test 20.315222 \tabularnewline FISHER Test 1 Probability0.035800 & FISHER Test 2 Probability0.749000 \tabularnewline Pearson 2-0.660202 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.426009 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.403118 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.426009 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.405405 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.407745 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.426009 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.407745 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.400881 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.474933 & Kurtosis (small sample)0.198743 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-2.150201 & TEST 1 (small sample)0.453409 \tabularnewline TEST 1 Prob. (small sample)0.030800 & TEST 1 Prob. (small sample)0.645600 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103744&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]-2.689967[/C][C]FISHER 4th Cent. Mom.[/C]32.249737[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.219938[/C][C]FISHER beta 2[/C]3.140971[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.468976[/C][C]FISHER gamma 2[/C]0.140971[/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]-2.097323[/C][C]FISHER Test 2[/C]0.315222[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.035800[/C][C]FISHER Test 2 Probability[/C]0.749000[/C][/ROW] [ROW][C]Pearson 2[/C]-0.660202[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.426009[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.403118[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.426009[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.405405[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.407745[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.426009[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.407745[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.400881[/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]-0.474933[/C][C]Kurtosis (small sample)[/C]0.198743[/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]-2.150201[/C][C]TEST 1 (small sample)[/C]0.453409[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.030800[/C][C]TEST 1 Prob. (small sample)[/C]0.645600[/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=103744&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103744&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.-2.689967FISHER 4th Cent. Mom.32.249737
FISHER beta 10.219938FISHER beta 23.140971
FISHER gamma 1-0.468976FISHER gamma 20.140971
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-2.097323FISHER Test 20.315222
FISHER Test 1 Probability0.035800FISHER Test 2 Probability0.749000
Pearson 2-0.660202
Yule using Quartile definition:Weighted Average at Xnp-0.426009
Yule using Quartile definition:Weighted Average at X(n+1)p-0.403118
Yule using Quartile definition:Empirical Distribution Function-0.426009
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.405405
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.407745
Yule using Quartile definition:Closest Observation-0.426009
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.407745
Yule using Quartile definition:MS Excel (old versions)-0.400881
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.474933Kurtosis (small sample)0.198743
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-2.150201TEST 1 (small sample)0.453409
TEST 1 Prob. (small sample)0.030800TEST 1 Prob. (small sample)0.645600
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.4749000.030800Trim. Kurtosis (0/120)0.1987000.645600
Trim. Skewness (1/120)-0.5829000.008800Trim. Kurtosis (1/120)0.1048000.810400
Trim. Skewness (2/120)-0.6575000.003400Trim. Kurtosis (2/120)0.0396000.928200
Trim. Skewness (3/120)-0.7004000.002000Trim. Kurtosis (3/120)0.0234000.952200
Trim. Skewness (4/120)-0.7397000.001200Trim. Kurtosis (4/120)0.0025000.992000
Trim. Skewness (5/120)-0.7553000.001000Trim. Kurtosis (5/120)-0.0220000.960200
Trim. Skewness (6/120)-0.7686000.001000Trim. Kurtosis (6/120)-0.0333000.936200
Trim. Skewness (7/120)-0.7667000.001000Trim. Kurtosis (7/120)-0.0440000.920400
Trim. Skewness (8/120)-0.7560000.001400Trim. Kurtosis (8/120)-0.0875000.849200
Trim. Skewness (9/120)-0.7599000.001400Trim. Kurtosis (9/120)-0.0939000.841400
Trim. Skewness (10/120)-0.7544000.001800Trim. Kurtosis (10/120)-0.1429000.764200
Trim. Skewness (11/120)-0.7450000.002200Trim. Kurtosis (11/120)-0.2393000.617000
Trim. Skewness (12/120)-0.7448000.002400Trim. Kurtosis (12/120)-0.3020000.535200
Trim. Skewness (13/120)-0.7267000.003400Trim. Kurtosis (13/120)-0.3863000.429600
Trim. Skewness (14/120)-0.7034000.005200Trim. Kurtosis (14/120)-0.5126000.298400
Trim. Skewness (15/120)-0.7264000.004200Trim. Kurtosis (15/120)-0.4724000.347200
Trim. Skewness (16/120)-0.7488000.003600Trim. Kurtosis (16/120)-0.4349000.389800
Trim. Skewness (17/120)-0.7691000.003000Trim. Kurtosis (17/120)-0.4027000.429600
Trim. Skewness (18/120)-0.7819000.002800Trim. Kurtosis (18/120)-0.3795000.459200
Trim. Skewness (19/120)-0.7930000.002800Trim. Kurtosis (19/120)-0.3742000.471600
Trim. Skewness (20/120)-0.8118000.002600Trim. Kurtosis (20/120)-0.3477000.509200
Trim. Skewness (21/120)-0.8402000.002000Trim. Kurtosis (21/120)-0.3123000.555200
Trim. Skewness (22/120)-0.8512000.002000Trim. Kurtosis (22/120)-0.2909000.589200
Trim. Skewness (23/120)-0.8625000.002000Trim. Kurtosis (23/120)-0.2543000.638400
Trim. Skewness (24/120)-0.8595000.002400Trim. Kurtosis (24/120)-0.2542000.645600
Trim. Skewness (25/120)-0.8640000.002600Trim. Kurtosis (25/120)-0.2162000.696600
Trim. Skewness (26/120)-0.8694000.002600Trim. Kurtosis (26/120)-0.1795000.749000
Trim. Skewness (27/120)-0.8613000.003600Trim. Kurtosis (27/120)-0.1851000.749000
Trim. Skewness (28/120)-0.8591000.004000Trim. Kurtosis (28/120)-0.1690000.771800
Trim. Skewness (29/120)-0.8514000.005000Trim. Kurtosis (29/120)-0.1726000.771800
Trim. Skewness (30/120)-0.8279000.007200Trim. Kurtosis (30/120)-0.2559000.667200
Trim. Skewness (31/120)-0.7810000.012800Trim. Kurtosis (31/120)-0.4374000.477600
Trim. Skewness (32/120)-0.7053000.026400Trim. Kurtosis (32/120)-0.7124000.254200
Trim. Skewness (33/120)-0.6804000.035800Trim. Kurtosis (33/120)-0.8196000.197000
Trim. Skewness (34/120)-0.7158000.030000Trim. Kurtosis (34/120)-0.7511000.246000
Trim. Skewness (35/120)-0.7389000.027800Trim. Kurtosis (35/120)-0.6928000.293800
Trim. Skewness (36/120)-0.7614000.026400Trim. Kurtosis (36/120)-0.6304000.347200
Trim. Skewness (37/120)-0.7821000.025000Trim. Kurtosis (37/120)-0.5667000.406600
Trim. Skewness (38/120)-0.7984000.025000Trim. Kurtosis (38/120)-0.5080000.465400
Trim. Skewness (39/120)-0.8243000.023800Trim. Kurtosis (39/120)-0.3964000.575400
Trim. Skewness (40/120)-0.8235000.027200Trim. Kurtosis (40/120)-0.3376000.638400

\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)-0.4749000.030800 & Trim. Kurtosis (0/120)0.1987000.645600 \tabularnewline Trim. Skewness (1/120)-0.5829000.008800 & Trim. Kurtosis (1/120)0.1048000.810400 \tabularnewline Trim. Skewness (2/120)-0.6575000.003400 & Trim. Kurtosis (2/120)0.0396000.928200 \tabularnewline Trim. Skewness (3/120)-0.7004000.002000 & Trim. Kurtosis (3/120)0.0234000.952200 \tabularnewline Trim. Skewness (4/120)-0.7397000.001200 & Trim. Kurtosis (4/120)0.0025000.992000 \tabularnewline Trim. Skewness (5/120)-0.7553000.001000 & Trim. Kurtosis (5/120)-0.0220000.960200 \tabularnewline Trim. Skewness (6/120)-0.7686000.001000 & Trim. Kurtosis (6/120)-0.0333000.936200 \tabularnewline Trim. Skewness (7/120)-0.7667000.001000 & Trim. Kurtosis (7/120)-0.0440000.920400 \tabularnewline Trim. Skewness (8/120)-0.7560000.001400 & Trim. Kurtosis (8/120)-0.0875000.849200 \tabularnewline Trim. Skewness (9/120)-0.7599000.001400 & Trim. Kurtosis (9/120)-0.0939000.841400 \tabularnewline Trim. Skewness (10/120)-0.7544000.001800 & Trim. Kurtosis (10/120)-0.1429000.764200 \tabularnewline Trim. Skewness (11/120)-0.7450000.002200 & Trim. Kurtosis (11/120)-0.2393000.617000 \tabularnewline Trim. Skewness (12/120)-0.7448000.002400 & Trim. Kurtosis (12/120)-0.3020000.535200 \tabularnewline Trim. Skewness (13/120)-0.7267000.003400 & Trim. Kurtosis (13/120)-0.3863000.429600 \tabularnewline Trim. Skewness (14/120)-0.7034000.005200 & Trim. Kurtosis (14/120)-0.5126000.298400 \tabularnewline Trim. Skewness (15/120)-0.7264000.004200 & Trim. Kurtosis (15/120)-0.4724000.347200 \tabularnewline Trim. Skewness (16/120)-0.7488000.003600 & Trim. Kurtosis (16/120)-0.4349000.389800 \tabularnewline Trim. Skewness (17/120)-0.7691000.003000 & Trim. Kurtosis (17/120)-0.4027000.429600 \tabularnewline Trim. Skewness (18/120)-0.7819000.002800 & Trim. Kurtosis (18/120)-0.3795000.459200 \tabularnewline Trim. Skewness (19/120)-0.7930000.002800 & Trim. Kurtosis (19/120)-0.3742000.471600 \tabularnewline Trim. Skewness (20/120)-0.8118000.002600 & Trim. Kurtosis (20/120)-0.3477000.509200 \tabularnewline Trim. Skewness (21/120)-0.8402000.002000 & Trim. Kurtosis (21/120)-0.3123000.555200 \tabularnewline Trim. Skewness (22/120)-0.8512000.002000 & Trim. Kurtosis (22/120)-0.2909000.589200 \tabularnewline Trim. Skewness (23/120)-0.8625000.002000 & Trim. Kurtosis (23/120)-0.2543000.638400 \tabularnewline Trim. Skewness (24/120)-0.8595000.002400 & Trim. Kurtosis (24/120)-0.2542000.645600 \tabularnewline Trim. Skewness (25/120)-0.8640000.002600 & Trim. Kurtosis (25/120)-0.2162000.696600 \tabularnewline Trim. Skewness (26/120)-0.8694000.002600 & Trim. Kurtosis (26/120)-0.1795000.749000 \tabularnewline Trim. Skewness (27/120)-0.8613000.003600 & Trim. Kurtosis (27/120)-0.1851000.749000 \tabularnewline Trim. Skewness (28/120)-0.8591000.004000 & Trim. Kurtosis (28/120)-0.1690000.771800 \tabularnewline Trim. Skewness (29/120)-0.8514000.005000 & Trim. Kurtosis (29/120)-0.1726000.771800 \tabularnewline Trim. Skewness (30/120)-0.8279000.007200 & Trim. Kurtosis (30/120)-0.2559000.667200 \tabularnewline Trim. Skewness (31/120)-0.7810000.012800 & Trim. Kurtosis (31/120)-0.4374000.477600 \tabularnewline Trim. Skewness (32/120)-0.7053000.026400 & Trim. Kurtosis (32/120)-0.7124000.254200 \tabularnewline Trim. Skewness (33/120)-0.6804000.035800 & Trim. Kurtosis (33/120)-0.8196000.197000 \tabularnewline Trim. Skewness (34/120)-0.7158000.030000 & Trim. Kurtosis (34/120)-0.7511000.246000 \tabularnewline Trim. Skewness (35/120)-0.7389000.027800 & Trim. Kurtosis (35/120)-0.6928000.293800 \tabularnewline Trim. Skewness (36/120)-0.7614000.026400 & Trim. Kurtosis (36/120)-0.6304000.347200 \tabularnewline Trim. Skewness (37/120)-0.7821000.025000 & Trim. Kurtosis (37/120)-0.5667000.406600 \tabularnewline Trim. Skewness (38/120)-0.7984000.025000 & Trim. Kurtosis (38/120)-0.5080000.465400 \tabularnewline Trim. Skewness (39/120)-0.8243000.023800 & Trim. Kurtosis (39/120)-0.3964000.575400 \tabularnewline Trim. Skewness (40/120)-0.8235000.027200 & Trim. Kurtosis (40/120)-0.3376000.638400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103744&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]-0.474900[/C]0.030800[/C][C]Trim. Kurtosis (0/120)[/C]0.198700[/C]0.645600[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.582900[/C]0.008800[/C][C]Trim. Kurtosis (1/120)[/C]0.104800[/C]0.810400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.657500[/C]0.003400[/C][C]Trim. Kurtosis (2/120)[/C]0.039600[/C]0.928200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.700400[/C]0.002000[/C][C]Trim. Kurtosis (3/120)[/C]0.023400[/C]0.952200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.739700[/C]0.001200[/C][C]Trim. Kurtosis (4/120)[/C]0.002500[/C]0.992000[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.755300[/C]0.001000[/C][C]Trim. Kurtosis (5/120)[/C]-0.022000[/C]0.960200[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.768600[/C]0.001000[/C][C]Trim. Kurtosis (6/120)[/C]-0.033300[/C]0.936200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.766700[/C]0.001000[/C][C]Trim. Kurtosis (7/120)[/C]-0.044000[/C]0.920400[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.756000[/C]0.001400[/C][C]Trim. Kurtosis (8/120)[/C]-0.087500[/C]0.849200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.759900[/C]0.001400[/C][C]Trim. Kurtosis (9/120)[/C]-0.093900[/C]0.841400[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.754400[/C]0.001800[/C][C]Trim. Kurtosis (10/120)[/C]-0.142900[/C]0.764200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.745000[/C]0.002200[/C][C]Trim. Kurtosis (11/120)[/C]-0.239300[/C]0.617000[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.744800[/C]0.002400[/C][C]Trim. Kurtosis (12/120)[/C]-0.302000[/C]0.535200[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.726700[/C]0.003400[/C][C]Trim. Kurtosis (13/120)[/C]-0.386300[/C]0.429600[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.703400[/C]0.005200[/C][C]Trim. Kurtosis (14/120)[/C]-0.512600[/C]0.298400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.726400[/C]0.004200[/C][C]Trim. Kurtosis (15/120)[/C]-0.472400[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.748800[/C]0.003600[/C][C]Trim. Kurtosis (16/120)[/C]-0.434900[/C]0.389800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.769100[/C]0.003000[/C][C]Trim. Kurtosis (17/120)[/C]-0.402700[/C]0.429600[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.781900[/C]0.002800[/C][C]Trim. Kurtosis (18/120)[/C]-0.379500[/C]0.459200[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.793000[/C]0.002800[/C][C]Trim. Kurtosis (19/120)[/C]-0.374200[/C]0.471600[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.811800[/C]0.002600[/C][C]Trim. Kurtosis (20/120)[/C]-0.347700[/C]0.509200[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.840200[/C]0.002000[/C][C]Trim. Kurtosis (21/120)[/C]-0.312300[/C]0.555200[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.851200[/C]0.002000[/C][C]Trim. Kurtosis (22/120)[/C]-0.290900[/C]0.589200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.862500[/C]0.002000[/C][C]Trim. Kurtosis (23/120)[/C]-0.254300[/C]0.638400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.859500[/C]0.002400[/C][C]Trim. Kurtosis (24/120)[/C]-0.254200[/C]0.645600[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.864000[/C]0.002600[/C][C]Trim. Kurtosis (25/120)[/C]-0.216200[/C]0.696600[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.869400[/C]0.002600[/C][C]Trim. Kurtosis (26/120)[/C]-0.179500[/C]0.749000[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.861300[/C]0.003600[/C][C]Trim. Kurtosis (27/120)[/C]-0.185100[/C]0.749000[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.859100[/C]0.004000[/C][C]Trim. Kurtosis (28/120)[/C]-0.169000[/C]0.771800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.851400[/C]0.005000[/C][C]Trim. Kurtosis (29/120)[/C]-0.172600[/C]0.771800[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.827900[/C]0.007200[/C][C]Trim. Kurtosis (30/120)[/C]-0.255900[/C]0.667200[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.781000[/C]0.012800[/C][C]Trim. Kurtosis (31/120)[/C]-0.437400[/C]0.477600[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.705300[/C]0.026400[/C][C]Trim. Kurtosis (32/120)[/C]-0.712400[/C]0.254200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.680400[/C]0.035800[/C][C]Trim. Kurtosis (33/120)[/C]-0.819600[/C]0.197000[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.715800[/C]0.030000[/C][C]Trim. Kurtosis (34/120)[/C]-0.751100[/C]0.246000[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.738900[/C]0.027800[/C][C]Trim. Kurtosis (35/120)[/C]-0.692800[/C]0.293800[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.761400[/C]0.026400[/C][C]Trim. Kurtosis (36/120)[/C]-0.630400[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.782100[/C]0.025000[/C][C]Trim. Kurtosis (37/120)[/C]-0.566700[/C]0.406600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.798400[/C]0.025000[/C][C]Trim. Kurtosis (38/120)[/C]-0.508000[/C]0.465400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.824300[/C]0.023800[/C][C]Trim. Kurtosis (39/120)[/C]-0.396400[/C]0.575400[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.823500[/C]0.027200[/C][C]Trim. Kurtosis (40/120)[/C]-0.337600[/C]0.638400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103744&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103744&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)-0.4749000.030800Trim. Kurtosis (0/120)0.1987000.645600
Trim. Skewness (1/120)-0.5829000.008800Trim. Kurtosis (1/120)0.1048000.810400
Trim. Skewness (2/120)-0.6575000.003400Trim. Kurtosis (2/120)0.0396000.928200
Trim. Skewness (3/120)-0.7004000.002000Trim. Kurtosis (3/120)0.0234000.952200
Trim. Skewness (4/120)-0.7397000.001200Trim. Kurtosis (4/120)0.0025000.992000
Trim. Skewness (5/120)-0.7553000.001000Trim. Kurtosis (5/120)-0.0220000.960200
Trim. Skewness (6/120)-0.7686000.001000Trim. Kurtosis (6/120)-0.0333000.936200
Trim. Skewness (7/120)-0.7667000.001000Trim. Kurtosis (7/120)-0.0440000.920400
Trim. Skewness (8/120)-0.7560000.001400Trim. Kurtosis (8/120)-0.0875000.849200
Trim. Skewness (9/120)-0.7599000.001400Trim. Kurtosis (9/120)-0.0939000.841400
Trim. Skewness (10/120)-0.7544000.001800Trim. Kurtosis (10/120)-0.1429000.764200
Trim. Skewness (11/120)-0.7450000.002200Trim. Kurtosis (11/120)-0.2393000.617000
Trim. Skewness (12/120)-0.7448000.002400Trim. Kurtosis (12/120)-0.3020000.535200
Trim. Skewness (13/120)-0.7267000.003400Trim. Kurtosis (13/120)-0.3863000.429600
Trim. Skewness (14/120)-0.7034000.005200Trim. Kurtosis (14/120)-0.5126000.298400
Trim. Skewness (15/120)-0.7264000.004200Trim. Kurtosis (15/120)-0.4724000.347200
Trim. Skewness (16/120)-0.7488000.003600Trim. Kurtosis (16/120)-0.4349000.389800
Trim. Skewness (17/120)-0.7691000.003000Trim. Kurtosis (17/120)-0.4027000.429600
Trim. Skewness (18/120)-0.7819000.002800Trim. Kurtosis (18/120)-0.3795000.459200
Trim. Skewness (19/120)-0.7930000.002800Trim. Kurtosis (19/120)-0.3742000.471600
Trim. Skewness (20/120)-0.8118000.002600Trim. Kurtosis (20/120)-0.3477000.509200
Trim. Skewness (21/120)-0.8402000.002000Trim. Kurtosis (21/120)-0.3123000.555200
Trim. Skewness (22/120)-0.8512000.002000Trim. Kurtosis (22/120)-0.2909000.589200
Trim. Skewness (23/120)-0.8625000.002000Trim. Kurtosis (23/120)-0.2543000.638400
Trim. Skewness (24/120)-0.8595000.002400Trim. Kurtosis (24/120)-0.2542000.645600
Trim. Skewness (25/120)-0.8640000.002600Trim. Kurtosis (25/120)-0.2162000.696600
Trim. Skewness (26/120)-0.8694000.002600Trim. Kurtosis (26/120)-0.1795000.749000
Trim. Skewness (27/120)-0.8613000.003600Trim. Kurtosis (27/120)-0.1851000.749000
Trim. Skewness (28/120)-0.8591000.004000Trim. Kurtosis (28/120)-0.1690000.771800
Trim. Skewness (29/120)-0.8514000.005000Trim. Kurtosis (29/120)-0.1726000.771800
Trim. Skewness (30/120)-0.8279000.007200Trim. Kurtosis (30/120)-0.2559000.667200
Trim. Skewness (31/120)-0.7810000.012800Trim. Kurtosis (31/120)-0.4374000.477600
Trim. Skewness (32/120)-0.7053000.026400Trim. Kurtosis (32/120)-0.7124000.254200
Trim. Skewness (33/120)-0.6804000.035800Trim. Kurtosis (33/120)-0.8196000.197000
Trim. Skewness (34/120)-0.7158000.030000Trim. Kurtosis (34/120)-0.7511000.246000
Trim. Skewness (35/120)-0.7389000.027800Trim. Kurtosis (35/120)-0.6928000.293800
Trim. Skewness (36/120)-0.7614000.026400Trim. Kurtosis (36/120)-0.6304000.347200
Trim. Skewness (37/120)-0.7821000.025000Trim. Kurtosis (37/120)-0.5667000.406600
Trim. Skewness (38/120)-0.7984000.025000Trim. Kurtosis (38/120)-0.5080000.465400
Trim. Skewness (39/120)-0.8243000.023800Trim. Kurtosis (39/120)-0.3964000.575400
Trim. Skewness (40/120)-0.8235000.027200Trim. Kurtosis (40/120)-0.3376000.638400


Figures (Output of Computation)

Input Parameters & R Code

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