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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 18:33:51 +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/t1291141912qd6kx5ciwvrplx8.htm/, Retrieved Mon, 29 Apr 2024 16:27:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103719, Retrieved Mon, 29 Apr 2024 16:27:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151

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 18:33:51] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
88,08
93,28
89,66
90,19
90,29
90,68
90,58
90,01
87,56
88,01
89,38
90,94
90,84
88,99
89,31
91,81
86,71
89,28
91,34
93,75
91,83
87,55
85,84
89,83
90,67
91,51
89,31
87,67
89,70
92,35
92,66
85,98
88,71
90,83
87,47
90,71
92,87
89,19
90,37
91,34
89,81
88,98
92,36
89,65
88,62
90,12
92,36
86,29
88,31
90,01
92,20
88,58
89,22
95,48
92,38
91,26
89,18
91,92
91,01
87,93
90,20
95,01
90,89
92,98
86,48
93,19
86,38
90,38
91,89
88,21
90,08
89,88
84,65
86,11
90,54
89,47
88,35
91,35
91,50
92,12
87,78
92,08
90,78
89,28
87,92
91,24
84,69
87,09
89,20
92,91
88,50
88,45
85,23
88,30
88,13
86,94
93,24
89,88
91,16
90,03
89,85
89,54
89,89
89,47
90,85
84,40
88,48
88,25
92,86
90,75
85,72
88,74
88,99
87,63
87,61
91,34
93,26
88,21
91,87
88,10

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.139866FISHER 4th Cent. Mom.65.839241
FISHER beta 10.011891FISHER beta 22.880732
FISHER gamma 1-0.109048FISHER gamma 2-0.119268
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.487677FISHER Test 2-0.266691
FISHER Test 1 Probability0.624200FISHER Test 2 Probability0.787200
Pearson 2-0.111015
Yule using Quartile definition:Weighted Average at Xnp-0.056478
Yule using Quartile definition:Weighted Average at X(n+1)p-0.031889
Yule using Quartile definition:Empirical Distribution Function-0.056478
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.034711
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.037594
Yule using Quartile definition:Closest Observation-0.056478
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.037594
Yule using Quartile definition:MS Excel (old versions)-0.029126
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.110433Kurtosis (small sample)-0.072674
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.499972TEST 1 (small sample)-0.165797
TEST 1 Prob. (small sample)0.617000TEST 1 Prob. (small sample)0.865000
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-1.139866 & FISHER 4th Cent. Mom.65.839241 \tabularnewline FISHER beta 10.011891 & FISHER beta 22.880732 \tabularnewline FISHER gamma 1-0.109048 & FISHER gamma 2-0.119268 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-0.487677 & FISHER Test 2-0.266691 \tabularnewline FISHER Test 1 Probability0.624200 & FISHER Test 2 Probability0.787200 \tabularnewline Pearson 2-0.111015 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.056478 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.031889 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.056478 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.034711 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.037594 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.056478 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.037594 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.029126 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.110433 & Kurtosis (small sample)-0.072674 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-0.499972 & TEST 1 (small sample)-0.165797 \tabularnewline TEST 1 Prob. (small sample)0.617000 & TEST 1 Prob. (small sample)0.865000 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103719&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]-1.139866[/C][C]FISHER 4th Cent. Mom.[/C]65.839241[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.011891[/C][C]FISHER beta 2[/C]2.880732[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.109048[/C][C]FISHER gamma 2[/C]-0.119268[/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]-0.487677[/C][C]FISHER Test 2[/C]-0.266691[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.624200[/C][C]FISHER Test 2 Probability[/C]0.787200[/C][/ROW] [ROW][C]Pearson 2[/C]-0.111015[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.056478[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.031889[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.056478[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.034711[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.037594[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.056478[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.037594[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.029126[/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]-0.110433[/C][C]Kurtosis (small sample)[/C]-0.072674[/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]-0.499972[/C][C]TEST 1 (small sample)[/C]-0.165797[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.617000[/C][C]TEST 1 Prob. (small sample)[/C]0.865000[/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=103719&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103719&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.-1.139866FISHER 4th Cent. Mom.65.839241
FISHER beta 10.011891FISHER beta 22.880732
FISHER gamma 1-0.109048FISHER gamma 2-0.119268
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.487677FISHER Test 2-0.266691
FISHER Test 1 Probability0.624200FISHER Test 2 Probability0.787200
Pearson 2-0.111015
Yule using Quartile definition:Weighted Average at Xnp-0.056478
Yule using Quartile definition:Weighted Average at X(n+1)p-0.031889
Yule using Quartile definition:Empirical Distribution Function-0.056478
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.034711
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.037594
Yule using Quartile definition:Closest Observation-0.056478
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.037594
Yule using Quartile definition:MS Excel (old versions)-0.029126
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.110433Kurtosis (small sample)-0.072674
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.499972TEST 1 (small sample)-0.165797
TEST 1 Prob. (small sample)0.617000TEST 1 Prob. (small sample)0.865000
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.1104000.617000Trim. Kurtosis (0/120)-0.0727000.865000
Trim. Skewness (1/120)-0.1570000.477600Trim. Kurtosis (1/120)-0.2610000.548400
Trim. Skewness (2/120)-0.1952000.384400Trim. Kurtosis (2/120)-0.4524000.307800
Trim. Skewness (3/120)-0.1541000.490200Trim. Kurtosis (3/120)-0.5782000.197000
Trim. Skewness (4/120)-0.1169000.603000Trim. Kurtosis (4/120)-0.6364000.158600
Trim. Skewness (5/120)-0.1005000.660000Trim. Kurtosis (5/120)-0.6569000.149800
Trim. Skewness (6/120)-0.0854000.711400Trim. Kurtosis (6/120)-0.6872000.133600
Trim. Skewness (7/120)-0.0718000.756600Trim. Kurtosis (7/120)-0.7255000.118800
Trim. Skewness (8/120)-0.0510000.825800Trim. Kurtosis (8/120)-0.7613000.103200
Trim. Skewness (9/120)-0.0329000.888600Trim. Kurtosis (9/120)-0.7962000.091000
Trim. Skewness (10/120)-0.0136000.952200Trim. Kurtosis (10/120)-0.8470000.075000
Trim. Skewness (11/120)0.0042000.984000Trim. Kurtosis (11/120)-0.9215000.056200
Trim. Skewness (12/120)0.0217000.928200Trim. Kurtosis (12/120)-0.9773000.044400
Trim. Skewness (13/120)0.0429000.857200Trim. Kurtosis (13/120)-1.0021000.041400
Trim. Skewness (14/120)0.0590000.810400Trim. Kurtosis (14/120)-1.0264000.038400
Trim. Skewness (15/120)0.0517000.833600Trim. Kurtosis (15/120)-1.0294000.040400
Trim. Skewness (16/120)0.0378000.880800Trim. Kurtosis (16/120)-1.0394000.040400
Trim. Skewness (17/120)0.0310000.904400Trim. Kurtosis (17/120)-1.0441000.041400
Trim. Skewness (18/120)0.0250000.920400Trim. Kurtosis (18/120)-1.0489000.043400
Trim. Skewness (19/120)0.0189000.936200Trim. Kurtosis (19/120)-1.0629000.042400
Trim. Skewness (20/120)0.0215000.936200Trim. Kurtosis (20/120)-1.0690000.043400
Trim. Skewness (21/120)0.0176000.944200Trim. Kurtosis (21/120)-1.0744000.045600
Trim. Skewness (22/120)0.0025000.992000Trim. Kurtosis (22/120)-1.0786000.047800
Trim. Skewness (23/120)-0.0142000.952200Trim. Kurtosis (23/120)-1.0934000.046600
Trim. Skewness (24/120)-0.0414000.880800Trim. Kurtosis (24/120)-1.1195000.044400
Trim. Skewness (25/120)-0.0475000.865000Trim. Kurtosis (25/120)-1.1041000.051200
Trim. Skewness (26/120)-0.0560000.841400Trim. Kurtosis (26/120)-1.0950000.056200
Trim. Skewness (27/120)-0.0534000.849200Trim. Kurtosis (27/120)-1.0734000.064400
Trim. Skewness (28/120)-0.0572000.841400Trim. Kurtosis (28/120)-1.0470000.075000
Trim. Skewness (29/120)-0.0616000.833600Trim. Kurtosis (29/120)-1.0306000.085400
Trim. Skewness (30/120)-0.0728000.810400Trim. Kurtosis (30/120)-1.0245000.091000
Trim. Skewness (31/120)-0.0813000.794800Trim. Kurtosis (31/120)-1.0132000.101000
Trim. Skewness (32/120)-0.0903000.771800Trim. Kurtosis (32/120)-1.0222000.103200
Trim. Skewness (33/120)-0.0927000.771800Trim. Kurtosis (33/120)-1.0366000.103200
Trim. Skewness (34/120)-0.0854000.794800Trim. Kurtosis (34/120)-1.0171000.116400
Trim. Skewness (35/120)-0.0662000.841400Trim. Kurtosis (35/120)-0.9982000.131000
Trim. Skewness (36/120)-0.0307000.928200Trim. Kurtosis (36/120)-0.9933000.138800
Trim. Skewness (37/120)0.0074000.976000Trim. Kurtosis (37/120)-0.9795000.152800
Trim. Skewness (38/120)0.0555000.872800Trim. Kurtosis (38/120)-0.9866000.158600
Trim. Skewness (39/120)0.0964000.787200Trim. Kurtosis (39/120)-0.9957000.164600
Trim. Skewness (40/120)0.1653000.652800Trim. Kurtosis (40/120)-1.0445000.152800

\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)-0.1104000.617000 & Trim. Kurtosis (0/120)-0.0727000.865000 \tabularnewline Trim. Skewness (1/120)-0.1570000.477600 & Trim. Kurtosis (1/120)-0.2610000.548400 \tabularnewline Trim. Skewness (2/120)-0.1952000.384400 & Trim. Kurtosis (2/120)-0.4524000.307800 \tabularnewline Trim. Skewness (3/120)-0.1541000.490200 & Trim. Kurtosis (3/120)-0.5782000.197000 \tabularnewline Trim. Skewness (4/120)-0.1169000.603000 & Trim. Kurtosis (4/120)-0.6364000.158600 \tabularnewline Trim. Skewness (5/120)-0.1005000.660000 & Trim. Kurtosis (5/120)-0.6569000.149800 \tabularnewline Trim. Skewness (6/120)-0.0854000.711400 & Trim. Kurtosis (6/120)-0.6872000.133600 \tabularnewline Trim. Skewness (7/120)-0.0718000.756600 & Trim. Kurtosis (7/120)-0.7255000.118800 \tabularnewline Trim. Skewness (8/120)-0.0510000.825800 & Trim. Kurtosis (8/120)-0.7613000.103200 \tabularnewline Trim. Skewness (9/120)-0.0329000.888600 & Trim. Kurtosis (9/120)-0.7962000.091000 \tabularnewline Trim. Skewness (10/120)-0.0136000.952200 & Trim. Kurtosis (10/120)-0.8470000.075000 \tabularnewline Trim. Skewness (11/120)0.0042000.984000 & Trim. Kurtosis (11/120)-0.9215000.056200 \tabularnewline Trim. Skewness (12/120)0.0217000.928200 & Trim. Kurtosis (12/120)-0.9773000.044400 \tabularnewline Trim. Skewness (13/120)0.0429000.857200 & Trim. Kurtosis (13/120)-1.0021000.041400 \tabularnewline Trim. Skewness (14/120)0.0590000.810400 & Trim. Kurtosis (14/120)-1.0264000.038400 \tabularnewline Trim. Skewness (15/120)0.0517000.833600 & Trim. Kurtosis (15/120)-1.0294000.040400 \tabularnewline Trim. Skewness (16/120)0.0378000.880800 & Trim. Kurtosis (16/120)-1.0394000.040400 \tabularnewline Trim. Skewness (17/120)0.0310000.904400 & Trim. Kurtosis (17/120)-1.0441000.041400 \tabularnewline Trim. Skewness (18/120)0.0250000.920400 & Trim. Kurtosis (18/120)-1.0489000.043400 \tabularnewline Trim. Skewness (19/120)0.0189000.936200 & Trim. Kurtosis (19/120)-1.0629000.042400 \tabularnewline Trim. Skewness (20/120)0.0215000.936200 & Trim. Kurtosis (20/120)-1.0690000.043400 \tabularnewline Trim. Skewness (21/120)0.0176000.944200 & Trim. Kurtosis (21/120)-1.0744000.045600 \tabularnewline Trim. Skewness (22/120)0.0025000.992000 & Trim. Kurtosis (22/120)-1.0786000.047800 \tabularnewline Trim. Skewness (23/120)-0.0142000.952200 & Trim. Kurtosis (23/120)-1.0934000.046600 \tabularnewline Trim. Skewness (24/120)-0.0414000.880800 & Trim. Kurtosis (24/120)-1.1195000.044400 \tabularnewline Trim. Skewness (25/120)-0.0475000.865000 & Trim. Kurtosis (25/120)-1.1041000.051200 \tabularnewline Trim. Skewness (26/120)-0.0560000.841400 & Trim. Kurtosis (26/120)-1.0950000.056200 \tabularnewline Trim. Skewness (27/120)-0.0534000.849200 & Trim. Kurtosis (27/120)-1.0734000.064400 \tabularnewline Trim. Skewness (28/120)-0.0572000.841400 & Trim. Kurtosis (28/120)-1.0470000.075000 \tabularnewline Trim. Skewness (29/120)-0.0616000.833600 & Trim. Kurtosis (29/120)-1.0306000.085400 \tabularnewline Trim. Skewness (30/120)-0.0728000.810400 & Trim. Kurtosis (30/120)-1.0245000.091000 \tabularnewline Trim. Skewness (31/120)-0.0813000.794800 & Trim. Kurtosis (31/120)-1.0132000.101000 \tabularnewline Trim. Skewness (32/120)-0.0903000.771800 & Trim. Kurtosis (32/120)-1.0222000.103200 \tabularnewline Trim. Skewness (33/120)-0.0927000.771800 & Trim. Kurtosis (33/120)-1.0366000.103200 \tabularnewline Trim. Skewness (34/120)-0.0854000.794800 & Trim. Kurtosis (34/120)-1.0171000.116400 \tabularnewline Trim. Skewness (35/120)-0.0662000.841400 & Trim. Kurtosis (35/120)-0.9982000.131000 \tabularnewline Trim. Skewness (36/120)-0.0307000.928200 & Trim. Kurtosis (36/120)-0.9933000.138800 \tabularnewline Trim. Skewness (37/120)0.0074000.976000 & Trim. Kurtosis (37/120)-0.9795000.152800 \tabularnewline Trim. Skewness (38/120)0.0555000.872800 & Trim. Kurtosis (38/120)-0.9866000.158600 \tabularnewline Trim. Skewness (39/120)0.0964000.787200 & Trim. Kurtosis (39/120)-0.9957000.164600 \tabularnewline Trim. Skewness (40/120)0.1653000.652800 & Trim. Kurtosis (40/120)-1.0445000.152800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103719&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]-0.110400[/C]0.617000[/C][C]Trim. Kurtosis (0/120)[/C]-0.072700[/C]0.865000[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.157000[/C]0.477600[/C][C]Trim. Kurtosis (1/120)[/C]-0.261000[/C]0.548400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.195200[/C]0.384400[/C][C]Trim. Kurtosis (2/120)[/C]-0.452400[/C]0.307800[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.154100[/C]0.490200[/C][C]Trim. Kurtosis (3/120)[/C]-0.578200[/C]0.197000[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.116900[/C]0.603000[/C][C]Trim. Kurtosis (4/120)[/C]-0.636400[/C]0.158600[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.100500[/C]0.660000[/C][C]Trim. Kurtosis (5/120)[/C]-0.656900[/C]0.149800[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.085400[/C]0.711400[/C][C]Trim. Kurtosis (6/120)[/C]-0.687200[/C]0.133600[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.071800[/C]0.756600[/C][C]Trim. Kurtosis (7/120)[/C]-0.725500[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.051000[/C]0.825800[/C][C]Trim. Kurtosis (8/120)[/C]-0.761300[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.032900[/C]0.888600[/C][C]Trim. Kurtosis (9/120)[/C]-0.796200[/C]0.091000[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.013600[/C]0.952200[/C][C]Trim. Kurtosis (10/120)[/C]-0.847000[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.004200[/C]0.984000[/C][C]Trim. Kurtosis (11/120)[/C]-0.921500[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.021700[/C]0.928200[/C][C]Trim. Kurtosis (12/120)[/C]-0.977300[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.042900[/C]0.857200[/C][C]Trim. Kurtosis (13/120)[/C]-1.002100[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.059000[/C]0.810400[/C][C]Trim. Kurtosis (14/120)[/C]-1.026400[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.051700[/C]0.833600[/C][C]Trim. Kurtosis (15/120)[/C]-1.029400[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.037800[/C]0.880800[/C][C]Trim. Kurtosis (16/120)[/C]-1.039400[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.031000[/C]0.904400[/C][C]Trim. Kurtosis (17/120)[/C]-1.044100[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.025000[/C]0.920400[/C][C]Trim. Kurtosis (18/120)[/C]-1.048900[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.018900[/C]0.936200[/C][C]Trim. Kurtosis (19/120)[/C]-1.062900[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.021500[/C]0.936200[/C][C]Trim. Kurtosis (20/120)[/C]-1.069000[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.017600[/C]0.944200[/C][C]Trim. Kurtosis (21/120)[/C]-1.074400[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.002500[/C]0.992000[/C][C]Trim. Kurtosis (22/120)[/C]-1.078600[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.014200[/C]0.952200[/C][C]Trim. Kurtosis (23/120)[/C]-1.093400[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.041400[/C]0.880800[/C][C]Trim. Kurtosis (24/120)[/C]-1.119500[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.047500[/C]0.865000[/C][C]Trim. Kurtosis (25/120)[/C]-1.104100[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.056000[/C]0.841400[/C][C]Trim. Kurtosis (26/120)[/C]-1.095000[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.053400[/C]0.849200[/C][C]Trim. Kurtosis (27/120)[/C]-1.073400[/C]0.064400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.057200[/C]0.841400[/C][C]Trim. Kurtosis (28/120)[/C]-1.047000[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.061600[/C]0.833600[/C][C]Trim. Kurtosis (29/120)[/C]-1.030600[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.072800[/C]0.810400[/C][C]Trim. Kurtosis (30/120)[/C]-1.024500[/C]0.091000[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.081300[/C]0.794800[/C][C]Trim. Kurtosis (31/120)[/C]-1.013200[/C]0.101000[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.090300[/C]0.771800[/C][C]Trim. Kurtosis (32/120)[/C]-1.022200[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.092700[/C]0.771800[/C][C]Trim. Kurtosis (33/120)[/C]-1.036600[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.085400[/C]0.794800[/C][C]Trim. Kurtosis (34/120)[/C]-1.017100[/C]0.116400[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.066200[/C]0.841400[/C][C]Trim. Kurtosis (35/120)[/C]-0.998200[/C]0.131000[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.030700[/C]0.928200[/C][C]Trim. Kurtosis (36/120)[/C]-0.993300[/C]0.138800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.007400[/C]0.976000[/C][C]Trim. Kurtosis (37/120)[/C]-0.979500[/C]0.152800[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.055500[/C]0.872800[/C][C]Trim. Kurtosis (38/120)[/C]-0.986600[/C]0.158600[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.096400[/C]0.787200[/C][C]Trim. Kurtosis (39/120)[/C]-0.995700[/C]0.164600[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.165300[/C]0.652800[/C][C]Trim. Kurtosis (40/120)[/C]-1.044500[/C]0.152800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103719&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103719&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)-0.1104000.617000Trim. Kurtosis (0/120)-0.0727000.865000
Trim. Skewness (1/120)-0.1570000.477600Trim. Kurtosis (1/120)-0.2610000.548400
Trim. Skewness (2/120)-0.1952000.384400Trim. Kurtosis (2/120)-0.4524000.307800
Trim. Skewness (3/120)-0.1541000.490200Trim. Kurtosis (3/120)-0.5782000.197000
Trim. Skewness (4/120)-0.1169000.603000Trim. Kurtosis (4/120)-0.6364000.158600
Trim. Skewness (5/120)-0.1005000.660000Trim. Kurtosis (5/120)-0.6569000.149800
Trim. Skewness (6/120)-0.0854000.711400Trim. Kurtosis (6/120)-0.6872000.133600
Trim. Skewness (7/120)-0.0718000.756600Trim. Kurtosis (7/120)-0.7255000.118800
Trim. Skewness (8/120)-0.0510000.825800Trim. Kurtosis (8/120)-0.7613000.103200
Trim. Skewness (9/120)-0.0329000.888600Trim. Kurtosis (9/120)-0.7962000.091000
Trim. Skewness (10/120)-0.0136000.952200Trim. Kurtosis (10/120)-0.8470000.075000
Trim. Skewness (11/120)0.0042000.984000Trim. Kurtosis (11/120)-0.9215000.056200
Trim. Skewness (12/120)0.0217000.928200Trim. Kurtosis (12/120)-0.9773000.044400
Trim. Skewness (13/120)0.0429000.857200Trim. Kurtosis (13/120)-1.0021000.041400
Trim. Skewness (14/120)0.0590000.810400Trim. Kurtosis (14/120)-1.0264000.038400
Trim. Skewness (15/120)0.0517000.833600Trim. Kurtosis (15/120)-1.0294000.040400
Trim. Skewness (16/120)0.0378000.880800Trim. Kurtosis (16/120)-1.0394000.040400
Trim. Skewness (17/120)0.0310000.904400Trim. Kurtosis (17/120)-1.0441000.041400
Trim. Skewness (18/120)0.0250000.920400Trim. Kurtosis (18/120)-1.0489000.043400
Trim. Skewness (19/120)0.0189000.936200Trim. Kurtosis (19/120)-1.0629000.042400
Trim. Skewness (20/120)0.0215000.936200Trim. Kurtosis (20/120)-1.0690000.043400
Trim. Skewness (21/120)0.0176000.944200Trim. Kurtosis (21/120)-1.0744000.045600
Trim. Skewness (22/120)0.0025000.992000Trim. Kurtosis (22/120)-1.0786000.047800
Trim. Skewness (23/120)-0.0142000.952200Trim. Kurtosis (23/120)-1.0934000.046600
Trim. Skewness (24/120)-0.0414000.880800Trim. Kurtosis (24/120)-1.1195000.044400
Trim. Skewness (25/120)-0.0475000.865000Trim. Kurtosis (25/120)-1.1041000.051200
Trim. Skewness (26/120)-0.0560000.841400Trim. Kurtosis (26/120)-1.0950000.056200
Trim. Skewness (27/120)-0.0534000.849200Trim. Kurtosis (27/120)-1.0734000.064400
Trim. Skewness (28/120)-0.0572000.841400Trim. Kurtosis (28/120)-1.0470000.075000
Trim. Skewness (29/120)-0.0616000.833600Trim. Kurtosis (29/120)-1.0306000.085400
Trim. Skewness (30/120)-0.0728000.810400Trim. Kurtosis (30/120)-1.0245000.091000
Trim. Skewness (31/120)-0.0813000.794800Trim. Kurtosis (31/120)-1.0132000.101000
Trim. Skewness (32/120)-0.0903000.771800Trim. Kurtosis (32/120)-1.0222000.103200
Trim. Skewness (33/120)-0.0927000.771800Trim. Kurtosis (33/120)-1.0366000.103200
Trim. Skewness (34/120)-0.0854000.794800Trim. Kurtosis (34/120)-1.0171000.116400
Trim. Skewness (35/120)-0.0662000.841400Trim. Kurtosis (35/120)-0.9982000.131000
Trim. Skewness (36/120)-0.0307000.928200Trim. Kurtosis (36/120)-0.9933000.138800
Trim. Skewness (37/120)0.0074000.976000Trim. Kurtosis (37/120)-0.9795000.152800
Trim. Skewness (38/120)0.0555000.872800Trim. Kurtosis (38/120)-0.9866000.158600
Trim. Skewness (39/120)0.0964000.787200Trim. Kurtosis (39/120)-0.9957000.164600
Trim. Skewness (40/120)0.1653000.652800Trim. Kurtosis (40/120)-1.0445000.152800


Figures (Output of Computation)

Input Parameters & R Code

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