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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 18:50:37 +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/t12911429279jxi2t8b4oz8l4f.htm/, Retrieved Thu, 16 May 2024 06:15:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103742, Retrieved Thu, 16 May 2024 06:15:57 +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 18:50:37] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
53,99
52,65
52,87
52,47
52,03
51,55
51,22
52,64
52,33
53,36
53,44
53,00
53,18
53,74
53,75
53,22
53,10
51,76
51,48
51,36
51,31
52,50
52,62
52,90
52,90
52,40
51,67
51,89
52,10
52,71
52,75
52,04
54,75
54,52
53,69
53,96
53,99
52,64
53,38
53,19
53,65
53,80
52,86
53,41
51,94
52,18
52,00
52,21
51,54
51,17
51,69
51,63
51,62
50,92
50,32
49,70
48,78
49,36
48,97
47,18
45,27
45,09
45,96
45,49
45,90
46,27
47,51
48,01
47,82
49,64
49,93
48,13
48,16
48,46
48,44
50,66
51,37
51,16
51,22
51,11
50,14
50,01
49,08
48,97
48,88
49,13
49,95
49,36
48,87
47,49
48,25
47,69
47,66
49,78
50,80
50,44
52,62
52,07
51,20
50,21
48,83
49,22
49,82
50,19
50,49
52,18
52,25
52,02
53,38
52,82
54,72
54,67
54,20
53,68
53,46
52,00
51,71
51,50
49,16
49,03

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-7.517139FISHER 4th Cent. Mom.71.538938
FISHER beta 10.434312FISHER beta 22.786167
FISHER gamma 1-0.659024FISHER gamma 2-0.213833
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-2.947244FISHER Test 2-0.478144
FISHER Test 1 Probability0.003200FISHER Test 2 Probability0.631200
Pearson 2-0.671207
Yule using Quartile definition:Weighted Average at Xnp-0.312684
Yule using Quartile definition:Weighted Average at X(n+1)p-0.292665
Yule using Quartile definition:Empirical Distribution Function-0.312684
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.299270
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.305943
Yule using Quartile definition:Closest Observation-0.312684
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.305943
Yule using Quartile definition:MS Excel (old versions)-0.286127
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.667395Kurtosis (small sample)-0.171301
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-3.021550TEST 1 (small sample)-0.390802
TEST 1 Prob. (small sample)0.002400TEST 1 Prob. (small sample)0.689200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-7.517139 & FISHER 4th Cent. Mom.71.538938 \tabularnewline FISHER beta 10.434312 & FISHER beta 22.786167 \tabularnewline FISHER gamma 1-0.659024 & FISHER gamma 2-0.213833 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-2.947244 & FISHER Test 2-0.478144 \tabularnewline FISHER Test 1 Probability0.003200 & FISHER Test 2 Probability0.631200 \tabularnewline Pearson 2-0.671207 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.312684 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.292665 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.312684 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.299270 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.305943 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.312684 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.305943 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.286127 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.667395 & Kurtosis (small sample)-0.171301 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-3.021550 & TEST 1 (small sample)-0.390802 \tabularnewline TEST 1 Prob. (small sample)0.002400 & TEST 1 Prob. (small sample)0.689200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103742&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]-7.517139[/C][C]FISHER 4th Cent. Mom.[/C]71.538938[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.434312[/C][C]FISHER beta 2[/C]2.786167[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.659024[/C][C]FISHER gamma 2[/C]-0.213833[/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]-2.947244[/C][C]FISHER Test 2[/C]-0.478144[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.003200[/C][C]FISHER Test 2 Probability[/C]0.631200[/C][/ROW] [ROW][C]Pearson 2[/C]-0.671207[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.312684[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.292665[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.312684[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.299270[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.305943[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.312684[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.305943[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.286127[/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]-0.667395[/C][C]Kurtosis (small sample)[/C]-0.171301[/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]-3.021550[/C][C]TEST 1 (small sample)[/C]-0.390802[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.002400[/C][C]TEST 1 Prob. (small sample)[/C]0.689200[/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=103742&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103742&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.-7.517139FISHER 4th Cent. Mom.71.538938
FISHER beta 10.434312FISHER beta 22.786167
FISHER gamma 1-0.659024FISHER gamma 2-0.213833
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-2.947244FISHER Test 2-0.478144
FISHER Test 1 Probability0.003200FISHER Test 2 Probability0.631200
Pearson 2-0.671207
Yule using Quartile definition:Weighted Average at Xnp-0.312684
Yule using Quartile definition:Weighted Average at X(n+1)p-0.292665
Yule using Quartile definition:Empirical Distribution Function-0.312684
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.299270
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.305943
Yule using Quartile definition:Closest Observation-0.312684
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.305943
Yule using Quartile definition:MS Excel (old versions)-0.286127
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.667395Kurtosis (small sample)-0.171301
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-3.021550TEST 1 (small sample)-0.390802
TEST 1 Prob. (small sample)0.002400TEST 1 Prob. (small sample)0.689200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.6674000.002400Trim. Kurtosis (0/120)-0.1713000.689200
Trim. Skewness (1/120)-0.6413000.004000Trim. Kurtosis (1/120)-0.2471000.575400
Trim. Skewness (2/120)-0.6114000.006400Trim. Kurtosis (2/120)-0.3492000.429600
Trim. Skewness (3/120)-0.5789000.010400Trim. Kurtosis (3/120)-0.4755000.289200
Trim. Skewness (4/120)-0.5528000.015600Trim. Kurtosis (4/120)-0.5791000.200600
Trim. Skewness (5/120)-0.5042000.028600Trim. Kurtosis (5/120)-0.7352000.107400
Trim. Skewness (6/120)-0.4527000.051200Trim. Kurtosis (6/120)-0.8890000.053600
Trim. Skewness (7/120)-0.4447000.057400Trim. Kurtosis (7/120)-0.9148000.048800
Trim. Skewness (8/120)-0.4463000.058800Trim. Kurtosis (8/120)-0.9191000.050000
Trim. Skewness (9/120)-0.4407000.064400Trim. Kurtosis (9/120)-0.9313000.048800
Trim. Skewness (10/120)-0.4370000.068800Trim. Kurtosis (10/120)-0.9386000.048800
Trim. Skewness (11/120)-0.4308000.076800Trim. Kurtosis (11/120)-0.9573000.046600
Trim. Skewness (12/120)-0.4257000.083600Trim. Kurtosis (12/120)-0.9746000.045600
Trim. Skewness (13/120)-0.4271000.085400Trim. Kurtosis (13/120)-0.9821000.045600
Trim. Skewness (14/120)-0.4314000.085400Trim. Kurtosis (14/120)-0.9873000.046600
Trim. Skewness (15/120)-0.4263000.093000Trim. Kurtosis (15/120)-0.9977000.046600
Trim. Skewness (16/120)-0.4218000.099000Trim. Kurtosis (16/120)-1.0106000.046600
Trim. Skewness (17/120)-0.4240000.101000Trim. Kurtosis (17/120)-1.0095000.048800
Trim. Skewness (18/120)-0.4232000.105200Trim. Kurtosis (18/120)-1.0190000.048800
Trim. Skewness (19/120)-0.4397000.097000Trim. Kurtosis (19/120)-0.9971000.057400
Trim. Skewness (20/120)-0.4590000.087200Trim. Kurtosis (20/120)-0.9746000.065800
Trim. Skewness (21/120)-0.4730000.081800Trim. Kurtosis (21/120)-0.9473000.076800
Trim. Skewness (22/120)-0.4858000.076800Trim. Kurtosis (22/120)-0.9244000.089200
Trim. Skewness (23/120)-0.5039000.070200Trim. Kurtosis (23/120)-0.8958000.103200
Trim. Skewness (24/120)-0.5163000.067200Trim. Kurtosis (24/120)-0.8735000.116400
Trim. Skewness (25/120)-0.5245000.067200Trim. Kurtosis (25/120)-0.8486000.133600
Trim. Skewness (26/120)-0.5266000.068800Trim. Kurtosis (26/120)-0.8245000.149800
Trim. Skewness (27/120)-0.5284000.071800Trim. Kurtosis (27/120)-0.8051000.164600
Trim. Skewness (28/120)-0.5245000.078400Trim. Kurtosis (28/120)-0.8009000.173800
Trim. Skewness (29/120)-0.5183000.087200Trim. Kurtosis (29/120)-0.8110000.173800
Trim. Skewness (30/120)-0.5181000.093000Trim. Kurtosis (30/120)-0.8057000.183600
Trim. Skewness (31/120)-0.4986000.111800Trim. Kurtosis (31/120)-0.8459000.170600
Trim. Skewness (32/120)-0.5074000.109600Trim. Kurtosis (32/120)-0.8092000.197000
Trim. Skewness (33/120)-0.5125000.114200Trim. Kurtosis (33/120)-0.7686000.226200
Trim. Skewness (34/120)-0.5230000.111800Trim. Kurtosis (34/120)-0.7173000.267000
Trim. Skewness (35/120)-0.5350000.111800Trim. Kurtosis (35/120)-0.6739000.307800
Trim. Skewness (36/120)-0.5610000.101000Trim. Kurtosis (36/120)-0.6048000.368200
Trim. Skewness (37/120)-0.5902000.091000Trim. Kurtosis (37/120)-0.5614000.412200
Trim. Skewness (38/120)-0.5990000.093000Trim. Kurtosis (38/120)-0.5228000.453200
Trim. Skewness (39/120)-0.6281000.085400Trim. Kurtosis (39/120)-0.4376000.535200
Trim. Skewness (40/120)-0.6436000.083600Trim. Kurtosis (40/120)-0.3585000.624200

\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)-0.6674000.002400 & Trim. Kurtosis (0/120)-0.1713000.689200 \tabularnewline Trim. Skewness (1/120)-0.6413000.004000 & Trim. Kurtosis (1/120)-0.2471000.575400 \tabularnewline Trim. Skewness (2/120)-0.6114000.006400 & Trim. Kurtosis (2/120)-0.3492000.429600 \tabularnewline Trim. Skewness (3/120)-0.5789000.010400 & Trim. Kurtosis (3/120)-0.4755000.289200 \tabularnewline Trim. Skewness (4/120)-0.5528000.015600 & Trim. Kurtosis (4/120)-0.5791000.200600 \tabularnewline Trim. Skewness (5/120)-0.5042000.028600 & Trim. Kurtosis (5/120)-0.7352000.107400 \tabularnewline Trim. Skewness (6/120)-0.4527000.051200 & Trim. Kurtosis (6/120)-0.8890000.053600 \tabularnewline Trim. Skewness (7/120)-0.4447000.057400 & Trim. Kurtosis (7/120)-0.9148000.048800 \tabularnewline Trim. Skewness (8/120)-0.4463000.058800 & Trim. Kurtosis (8/120)-0.9191000.050000 \tabularnewline Trim. Skewness (9/120)-0.4407000.064400 & Trim. Kurtosis (9/120)-0.9313000.048800 \tabularnewline Trim. Skewness (10/120)-0.4370000.068800 & Trim. Kurtosis (10/120)-0.9386000.048800 \tabularnewline Trim. Skewness (11/120)-0.4308000.076800 & Trim. Kurtosis (11/120)-0.9573000.046600 \tabularnewline Trim. Skewness (12/120)-0.4257000.083600 & Trim. Kurtosis (12/120)-0.9746000.045600 \tabularnewline Trim. Skewness (13/120)-0.4271000.085400 & Trim. Kurtosis (13/120)-0.9821000.045600 \tabularnewline Trim. Skewness (14/120)-0.4314000.085400 & Trim. Kurtosis (14/120)-0.9873000.046600 \tabularnewline Trim. Skewness (15/120)-0.4263000.093000 & Trim. Kurtosis (15/120)-0.9977000.046600 \tabularnewline Trim. Skewness (16/120)-0.4218000.099000 & Trim. Kurtosis (16/120)-1.0106000.046600 \tabularnewline Trim. Skewness (17/120)-0.4240000.101000 & Trim. Kurtosis (17/120)-1.0095000.048800 \tabularnewline Trim. Skewness (18/120)-0.4232000.105200 & Trim. Kurtosis (18/120)-1.0190000.048800 \tabularnewline Trim. Skewness (19/120)-0.4397000.097000 & Trim. Kurtosis (19/120)-0.9971000.057400 \tabularnewline Trim. Skewness (20/120)-0.4590000.087200 & Trim. Kurtosis (20/120)-0.9746000.065800 \tabularnewline Trim. Skewness (21/120)-0.4730000.081800 & Trim. Kurtosis (21/120)-0.9473000.076800 \tabularnewline Trim. Skewness (22/120)-0.4858000.076800 & Trim. Kurtosis (22/120)-0.9244000.089200 \tabularnewline Trim. Skewness (23/120)-0.5039000.070200 & Trim. Kurtosis (23/120)-0.8958000.103200 \tabularnewline Trim. Skewness (24/120)-0.5163000.067200 & Trim. Kurtosis (24/120)-0.8735000.116400 \tabularnewline Trim. Skewness (25/120)-0.5245000.067200 & Trim. Kurtosis (25/120)-0.8486000.133600 \tabularnewline Trim. Skewness (26/120)-0.5266000.068800 & Trim. Kurtosis (26/120)-0.8245000.149800 \tabularnewline Trim. Skewness (27/120)-0.5284000.071800 & Trim. Kurtosis (27/120)-0.8051000.164600 \tabularnewline Trim. Skewness (28/120)-0.5245000.078400 & Trim. Kurtosis (28/120)-0.8009000.173800 \tabularnewline Trim. Skewness (29/120)-0.5183000.087200 & Trim. Kurtosis (29/120)-0.8110000.173800 \tabularnewline Trim. Skewness (30/120)-0.5181000.093000 & Trim. Kurtosis (30/120)-0.8057000.183600 \tabularnewline Trim. Skewness (31/120)-0.4986000.111800 & Trim. Kurtosis (31/120)-0.8459000.170600 \tabularnewline Trim. Skewness (32/120)-0.5074000.109600 & Trim. Kurtosis (32/120)-0.8092000.197000 \tabularnewline Trim. Skewness (33/120)-0.5125000.114200 & Trim. Kurtosis (33/120)-0.7686000.226200 \tabularnewline Trim. Skewness (34/120)-0.5230000.111800 & Trim. Kurtosis (34/120)-0.7173000.267000 \tabularnewline Trim. Skewness (35/120)-0.5350000.111800 & Trim. Kurtosis (35/120)-0.6739000.307800 \tabularnewline Trim. Skewness (36/120)-0.5610000.101000 & Trim. Kurtosis (36/120)-0.6048000.368200 \tabularnewline Trim. Skewness (37/120)-0.5902000.091000 & Trim. Kurtosis (37/120)-0.5614000.412200 \tabularnewline Trim. Skewness (38/120)-0.5990000.093000 & Trim. Kurtosis (38/120)-0.5228000.453200 \tabularnewline Trim. Skewness (39/120)-0.6281000.085400 & Trim. Kurtosis (39/120)-0.4376000.535200 \tabularnewline Trim. Skewness (40/120)-0.6436000.083600 & Trim. Kurtosis (40/120)-0.3585000.624200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103742&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]-0.667400[/C]0.002400[/C][C]Trim. Kurtosis (0/120)[/C]-0.171300[/C]0.689200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.641300[/C]0.004000[/C][C]Trim. Kurtosis (1/120)[/C]-0.247100[/C]0.575400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.611400[/C]0.006400[/C][C]Trim. Kurtosis (2/120)[/C]-0.349200[/C]0.429600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.578900[/C]0.010400[/C][C]Trim. Kurtosis (3/120)[/C]-0.475500[/C]0.289200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.552800[/C]0.015600[/C][C]Trim. Kurtosis (4/120)[/C]-0.579100[/C]0.200600[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.504200[/C]0.028600[/C][C]Trim. Kurtosis (5/120)[/C]-0.735200[/C]0.107400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.452700[/C]0.051200[/C][C]Trim. Kurtosis (6/120)[/C]-0.889000[/C]0.053600[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.444700[/C]0.057400[/C][C]Trim. Kurtosis (7/120)[/C]-0.914800[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.446300[/C]0.058800[/C][C]Trim. Kurtosis (8/120)[/C]-0.919100[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.440700[/C]0.064400[/C][C]Trim. Kurtosis (9/120)[/C]-0.931300[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.437000[/C]0.068800[/C][C]Trim. Kurtosis (10/120)[/C]-0.938600[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.430800[/C]0.076800[/C][C]Trim. Kurtosis (11/120)[/C]-0.957300[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.425700[/C]0.083600[/C][C]Trim. Kurtosis (12/120)[/C]-0.974600[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.427100[/C]0.085400[/C][C]Trim. Kurtosis (13/120)[/C]-0.982100[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.431400[/C]0.085400[/C][C]Trim. Kurtosis (14/120)[/C]-0.987300[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.426300[/C]0.093000[/C][C]Trim. Kurtosis (15/120)[/C]-0.997700[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.421800[/C]0.099000[/C][C]Trim. Kurtosis (16/120)[/C]-1.010600[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.424000[/C]0.101000[/C][C]Trim. Kurtosis (17/120)[/C]-1.009500[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.423200[/C]0.105200[/C][C]Trim. Kurtosis (18/120)[/C]-1.019000[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.439700[/C]0.097000[/C][C]Trim. Kurtosis (19/120)[/C]-0.997100[/C]0.057400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.459000[/C]0.087200[/C][C]Trim. Kurtosis (20/120)[/C]-0.974600[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.473000[/C]0.081800[/C][C]Trim. Kurtosis (21/120)[/C]-0.947300[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.485800[/C]0.076800[/C][C]Trim. Kurtosis (22/120)[/C]-0.924400[/C]0.089200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.503900[/C]0.070200[/C][C]Trim. Kurtosis (23/120)[/C]-0.895800[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.516300[/C]0.067200[/C][C]Trim. Kurtosis (24/120)[/C]-0.873500[/C]0.116400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.524500[/C]0.067200[/C][C]Trim. Kurtosis (25/120)[/C]-0.848600[/C]0.133600[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.526600[/C]0.068800[/C][C]Trim. Kurtosis (26/120)[/C]-0.824500[/C]0.149800[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.528400[/C]0.071800[/C][C]Trim. Kurtosis (27/120)[/C]-0.805100[/C]0.164600[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.524500[/C]0.078400[/C][C]Trim. Kurtosis (28/120)[/C]-0.800900[/C]0.173800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.518300[/C]0.087200[/C][C]Trim. Kurtosis (29/120)[/C]-0.811000[/C]0.173800[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.518100[/C]0.093000[/C][C]Trim. Kurtosis (30/120)[/C]-0.805700[/C]0.183600[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.498600[/C]0.111800[/C][C]Trim. Kurtosis (31/120)[/C]-0.845900[/C]0.170600[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.507400[/C]0.109600[/C][C]Trim. Kurtosis (32/120)[/C]-0.809200[/C]0.197000[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.512500[/C]0.114200[/C][C]Trim. Kurtosis (33/120)[/C]-0.768600[/C]0.226200[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.523000[/C]0.111800[/C][C]Trim. Kurtosis (34/120)[/C]-0.717300[/C]0.267000[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.535000[/C]0.111800[/C][C]Trim. Kurtosis (35/120)[/C]-0.673900[/C]0.307800[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.561000[/C]0.101000[/C][C]Trim. Kurtosis (36/120)[/C]-0.604800[/C]0.368200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.590200[/C]0.091000[/C][C]Trim. Kurtosis (37/120)[/C]-0.561400[/C]0.412200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.599000[/C]0.093000[/C][C]Trim. Kurtosis (38/120)[/C]-0.522800[/C]0.453200[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.628100[/C]0.085400[/C][C]Trim. Kurtosis (39/120)[/C]-0.437600[/C]0.535200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.643600[/C]0.083600[/C][C]Trim. Kurtosis (40/120)[/C]-0.358500[/C]0.624200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103742&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103742&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)-0.6674000.002400Trim. Kurtosis (0/120)-0.1713000.689200
Trim. Skewness (1/120)-0.6413000.004000Trim. Kurtosis (1/120)-0.2471000.575400
Trim. Skewness (2/120)-0.6114000.006400Trim. Kurtosis (2/120)-0.3492000.429600
Trim. Skewness (3/120)-0.5789000.010400Trim. Kurtosis (3/120)-0.4755000.289200
Trim. Skewness (4/120)-0.5528000.015600Trim. Kurtosis (4/120)-0.5791000.200600
Trim. Skewness (5/120)-0.5042000.028600Trim. Kurtosis (5/120)-0.7352000.107400
Trim. Skewness (6/120)-0.4527000.051200Trim. Kurtosis (6/120)-0.8890000.053600
Trim. Skewness (7/120)-0.4447000.057400Trim. Kurtosis (7/120)-0.9148000.048800
Trim. Skewness (8/120)-0.4463000.058800Trim. Kurtosis (8/120)-0.9191000.050000
Trim. Skewness (9/120)-0.4407000.064400Trim. Kurtosis (9/120)-0.9313000.048800
Trim. Skewness (10/120)-0.4370000.068800Trim. Kurtosis (10/120)-0.9386000.048800
Trim. Skewness (11/120)-0.4308000.076800Trim. Kurtosis (11/120)-0.9573000.046600
Trim. Skewness (12/120)-0.4257000.083600Trim. Kurtosis (12/120)-0.9746000.045600
Trim. Skewness (13/120)-0.4271000.085400Trim. Kurtosis (13/120)-0.9821000.045600
Trim. Skewness (14/120)-0.4314000.085400Trim. Kurtosis (14/120)-0.9873000.046600
Trim. Skewness (15/120)-0.4263000.093000Trim. Kurtosis (15/120)-0.9977000.046600
Trim. Skewness (16/120)-0.4218000.099000Trim. Kurtosis (16/120)-1.0106000.046600
Trim. Skewness (17/120)-0.4240000.101000Trim. Kurtosis (17/120)-1.0095000.048800
Trim. Skewness (18/120)-0.4232000.105200Trim. Kurtosis (18/120)-1.0190000.048800
Trim. Skewness (19/120)-0.4397000.097000Trim. Kurtosis (19/120)-0.9971000.057400
Trim. Skewness (20/120)-0.4590000.087200Trim. Kurtosis (20/120)-0.9746000.065800
Trim. Skewness (21/120)-0.4730000.081800Trim. Kurtosis (21/120)-0.9473000.076800
Trim. Skewness (22/120)-0.4858000.076800Trim. Kurtosis (22/120)-0.9244000.089200
Trim. Skewness (23/120)-0.5039000.070200Trim. Kurtosis (23/120)-0.8958000.103200
Trim. Skewness (24/120)-0.5163000.067200Trim. Kurtosis (24/120)-0.8735000.116400
Trim. Skewness (25/120)-0.5245000.067200Trim. Kurtosis (25/120)-0.8486000.133600
Trim. Skewness (26/120)-0.5266000.068800Trim. Kurtosis (26/120)-0.8245000.149800
Trim. Skewness (27/120)-0.5284000.071800Trim. Kurtosis (27/120)-0.8051000.164600
Trim. Skewness (28/120)-0.5245000.078400Trim. Kurtosis (28/120)-0.8009000.173800
Trim. Skewness (29/120)-0.5183000.087200Trim. Kurtosis (29/120)-0.8110000.173800
Trim. Skewness (30/120)-0.5181000.093000Trim. Kurtosis (30/120)-0.8057000.183600
Trim. Skewness (31/120)-0.4986000.111800Trim. Kurtosis (31/120)-0.8459000.170600
Trim. Skewness (32/120)-0.5074000.109600Trim. Kurtosis (32/120)-0.8092000.197000
Trim. Skewness (33/120)-0.5125000.114200Trim. Kurtosis (33/120)-0.7686000.226200
Trim. Skewness (34/120)-0.5230000.111800Trim. Kurtosis (34/120)-0.7173000.267000
Trim. Skewness (35/120)-0.5350000.111800Trim. Kurtosis (35/120)-0.6739000.307800
Trim. Skewness (36/120)-0.5610000.101000Trim. Kurtosis (36/120)-0.6048000.368200
Trim. Skewness (37/120)-0.5902000.091000Trim. Kurtosis (37/120)-0.5614000.412200
Trim. Skewness (38/120)-0.5990000.093000Trim. Kurtosis (38/120)-0.5228000.453200
Trim. Skewness (39/120)-0.6281000.085400Trim. Kurtosis (39/120)-0.4376000.535200
Trim. Skewness (40/120)-0.6436000.083600Trim. Kurtosis (40/120)-0.3585000.624200


Figures (Output of Computation)

Input Parameters & R Code

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