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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 18:30:27 +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/t1291141713brub6bg0neh0ium.htm/, Retrieved Mon, 29 Apr 2024 13:57:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103716, Retrieved Mon, 29 Apr 2024 13:57:50 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact154

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 18:30:27] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
67,35
70,64
67,50
71,26
70,29
73,64
67,56
70,59
71,04
69,89
69,39
69,43
71,15
68,17
68,32
68,97
71,48
69,84
70,60
72,23
67,44
69,26
70,51
71,48
66,57
69,67
69,70
69,52
71,72
71,71
72,70
72,11
69,49
71,67
71,36
71,66
72,14
70,62
69,62
68,59
71,79
72,24
68,50
66,81
70,25
71,03
72,19
68,11
70,63
68,23
71,97
68,29
67,22
73,32
70,74
69,38
71,54
68,06
70,91
73,40
71,32
73,68
75,12
67,50
65,70
70,32
68,96
72,07
71,80
68,40
72,69
70,48
68,59
71,27
70,42
68,83
70,59
69,93
69,73
70,87
69,30
67,36
71,20
72,81
71,56
69,28
67,57
68,30
69,31
68,53
70,12
69,23
69,70
70,81
71,16
70,29
68,77
70,24
67,42
69,39
70,47
67,89
68,21
68,18
72,88
71,15
72,24
68,95
67,97
68,90
69,44
70,42
70,96
69,57
69,43
71,13
74,66
70,66
70,99
70,18

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.728093FISHER 4th Cent. Mom.27.818290
FISHER beta 10.017254FISHER beta 22.835767
FISHER gamma 10.131354FISHER gamma 2-0.164233
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.587431FISHER Test 2-0.367237
FISHER Test 1 Probability0.555200FISHER Test 2 Probability0.711400
Pearson 2-0.225216
Yule using Quartile definition:Weighted Average at Xnp-0.180328
Yule using Quartile definition:Weighted Average at X(n+1)p-0.156504
Yule using Quartile definition:Empirical Distribution Function-0.180328
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.156379
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.156250
Yule using Quartile definition:Closest Observation-0.180328
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.156250
Yule using Quartile definition:MS Excel (old versions)-0.156627
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.133022Kurtosis (small sample)-0.119571
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.602241TEST 1 (small sample)-0.272787
TEST 1 Prob. (small sample)0.541800TEST 1 Prob. (small sample)0.779400
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.0.728093 & FISHER 4th Cent. Mom.27.818290 \tabularnewline FISHER beta 10.017254 & FISHER beta 22.835767 \tabularnewline FISHER gamma 10.131354 & FISHER gamma 2-0.164233 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 10.587431 & FISHER Test 2-0.367237 \tabularnewline FISHER Test 1 Probability0.555200 & FISHER Test 2 Probability0.711400 \tabularnewline Pearson 2-0.225216 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.180328 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.156504 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.180328 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.156379 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.156250 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.180328 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.156250 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.156627 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.133022 & Kurtosis (small sample)-0.119571 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)0.602241 & TEST 1 (small sample)-0.272787 \tabularnewline TEST 1 Prob. (small sample)0.541800 & TEST 1 Prob. (small sample)0.779400 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103716&T=0

[TABLE]

[ROW][C]Skewness and Kurtosis - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure[/C]
Value[/C]Kurtosis Measure[/C]Value[/C][/ROW] [ROW][C]FISHER 3rd Cent. Mom.[/C]0.728093[/C][C]FISHER 4th Cent. Mom.[/C]27.818290[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.017254[/C][C]FISHER beta 2[/C]2.835767[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.131354[/C][C]FISHER gamma 2[/C]-0.164233[/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]0.587431[/C][C]FISHER Test 2[/C]-0.367237[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.555200[/C][C]FISHER Test 2 Probability[/C]0.711400[/C][/ROW] [ROW][C]Pearson 2[/C]-0.225216[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.180328[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.156504[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.180328[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.156379[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.156250[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.180328[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.156250[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.156627[/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]0.133022[/C][C]Kurtosis (small sample)[/C]-0.119571[/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]0.602241[/C][C]TEST 1 (small sample)[/C]-0.272787[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.541800[/C][C]TEST 1 Prob. (small sample)[/C]0.779400[/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=103716&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103716&T=0

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The GUIDs for individual cells are displayed in the table below:

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.728093FISHER 4th Cent. Mom.27.818290
FISHER beta 10.017254FISHER beta 22.835767
FISHER gamma 10.131354FISHER gamma 2-0.164233
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.587431FISHER Test 2-0.367237
FISHER Test 1 Probability0.555200FISHER Test 2 Probability0.711400
Pearson 2-0.225216
Yule using Quartile definition:Weighted Average at Xnp-0.180328
Yule using Quartile definition:Weighted Average at X(n+1)p-0.156504
Yule using Quartile definition:Empirical Distribution Function-0.180328
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.156379
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.156250
Yule using Quartile definition:Closest Observation-0.180328
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.156250
Yule using Quartile definition:MS Excel (old versions)-0.156627
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.133022Kurtosis (small sample)-0.119571
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.602241TEST 1 (small sample)-0.272787
TEST 1 Prob. (small sample)0.541800TEST 1 Prob. (small sample)0.779400
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.1330000.541800Trim. Kurtosis (0/120)-0.1196000.779400
Trim. Skewness (1/120)0.1013000.645600Trim. Kurtosis (1/120)-0.4589000.298400
Trim. Skewness (2/120)0.0325000.880800Trim. Kurtosis (2/120)-0.6888000.121200
Trim. Skewness (3/120)0.0202000.928200Trim. Kurtosis (3/120)-0.7509000.093000
Trim. Skewness (4/120)-0.0171000.936200Trim. Kurtosis (4/120)-0.8087000.073400
Trim. Skewness (5/120)-0.0512000.818000Trim. Kurtosis (5/120)-0.8495000.062800
Trim. Skewness (6/120)-0.0882000.704000Trim. Kurtosis (6/120)-0.9062000.048800
Trim. Skewness (7/120)-0.1024000.660000Trim. Kurtosis (7/120)-0.9213000.046600
Trim. Skewness (8/120)-0.1158000.624200Trim. Kurtosis (8/120)-0.9443000.043400
Trim. Skewness (9/120)-0.1275000.589200Trim. Kurtosis (9/120)-0.9680000.040400
Trim. Skewness (10/120)-0.1408000.555200Trim. Kurtosis (10/120)-1.0140000.034000
Trim. Skewness (11/120)-0.1282000.596200Trim. Kurtosis (11/120)-1.0302000.032400
Trim. Skewness (12/120)-0.1123000.645600Trim. Kurtosis (12/120)-1.0636000.028600
Trim. Skewness (13/120)-0.1162000.638400Trim. Kurtosis (13/120)-1.0678000.030000
Trim. Skewness (14/120)-0.1229000.624200Trim. Kurtosis (14/120)-1.0708000.030800
Trim. Skewness (15/120)-0.1331000.596200Trim. Kurtosis (15/120)-1.0703000.033200
Trim. Skewness (16/120)-0.1460000.568600Trim. Kurtosis (16/120)-1.0722000.034800
Trim. Skewness (17/120)-0.1622000.528600Trim. Kurtosis (17/120)-1.0748000.035800
Trim. Skewness (18/120)-0.1730000.509200Trim. Kurtosis (18/120)-1.0768000.037600
Trim. Skewness (19/120)-0.1731000.509200Trim. Kurtosis (19/120)-1.0698000.041400
Trim. Skewness (20/120)-0.1728000.515600Trim. Kurtosis (20/120)-1.0699000.043400
Trim. Skewness (21/120)-0.1706000.528600Trim. Kurtosis (21/120)-1.0662000.046600
Trim. Skewness (22/120)-0.1662000.541800Trim. Kurtosis (22/120)-1.0745000.047800
Trim. Skewness (23/120)-0.1569000.568600Trim. Kurtosis (23/120)-1.0950000.046600
Trim. Skewness (24/120)-0.1524000.589200Trim. Kurtosis (24/120)-1.1198000.044400
Trim. Skewness (25/120)-0.1466000.603000Trim. Kurtosis (25/120)-1.1307000.045600
Trim. Skewness (26/120)-0.1387000.631200Trim. Kurtosis (26/120)-1.1548000.043400
Trim. Skewness (27/120)-0.1279000.660000Trim. Kurtosis (27/120)-1.1808000.042400
Trim. Skewness (28/120)-0.1107000.711400Trim. Kurtosis (28/120)-1.2450000.034800
Trim. Skewness (29/120)-0.1015000.733800Trim. Kurtosis (29/120)-1.2630000.034800
Trim. Skewness (30/120)-0.0922000.764200Trim. Kurtosis (30/120)-1.2804000.034800
Trim. Skewness (31/120)-0.0836000.787200Trim. Kurtosis (31/120)-1.2911000.036600
Trim. Skewness (32/120)-0.0782000.802600Trim. Kurtosis (32/120)-1.3069000.036600
Trim. Skewness (33/120)-0.0608000.849200Trim. Kurtosis (33/120)-1.3352000.036600
Trim. Skewness (34/120)-0.0297000.928200Trim. Kurtosis (34/120)-1.3896000.032400
Trim. Skewness (35/120)-0.0421000.896600Trim. Kurtosis (35/120)-1.3824000.036600
Trim. Skewness (36/120)-0.0641000.849200Trim. Kurtosis (36/120)-1.3836000.039400
Trim. Skewness (37/120)-0.0931000.787200Trim. Kurtosis (37/120)-1.3934000.042400
Trim. Skewness (38/120)-0.1121000.749000Trim. Kurtosis (38/120)-1.3861000.047800
Trim. Skewness (39/120)-0.1373000.704000Trim. Kurtosis (39/120)-1.3919000.051200
Trim. Skewness (40/120)-0.1746000.638400Trim. Kurtosis (40/120)-1.3847000.057400

\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)0.1330000.541800 & Trim. Kurtosis (0/120)-0.1196000.779400 \tabularnewline Trim. Skewness (1/120)0.1013000.645600 & Trim. Kurtosis (1/120)-0.4589000.298400 \tabularnewline Trim. Skewness (2/120)0.0325000.880800 & Trim. Kurtosis (2/120)-0.6888000.121200 \tabularnewline Trim. Skewness (3/120)0.0202000.928200 & Trim. Kurtosis (3/120)-0.7509000.093000 \tabularnewline Trim. Skewness (4/120)-0.0171000.936200 & Trim. Kurtosis (4/120)-0.8087000.073400 \tabularnewline Trim. Skewness (5/120)-0.0512000.818000 & Trim. Kurtosis (5/120)-0.8495000.062800 \tabularnewline Trim. Skewness (6/120)-0.0882000.704000 & Trim. Kurtosis (6/120)-0.9062000.048800 \tabularnewline Trim. Skewness (7/120)-0.1024000.660000 & Trim. Kurtosis (7/120)-0.9213000.046600 \tabularnewline Trim. Skewness (8/120)-0.1158000.624200 & Trim. Kurtosis (8/120)-0.9443000.043400 \tabularnewline Trim. Skewness (9/120)-0.1275000.589200 & Trim. Kurtosis (9/120)-0.9680000.040400 \tabularnewline Trim. Skewness (10/120)-0.1408000.555200 & Trim. Kurtosis (10/120)-1.0140000.034000 \tabularnewline Trim. Skewness (11/120)-0.1282000.596200 & Trim. Kurtosis (11/120)-1.0302000.032400 \tabularnewline Trim. Skewness (12/120)-0.1123000.645600 & Trim. Kurtosis (12/120)-1.0636000.028600 \tabularnewline Trim. Skewness (13/120)-0.1162000.638400 & Trim. Kurtosis (13/120)-1.0678000.030000 \tabularnewline Trim. Skewness (14/120)-0.1229000.624200 & Trim. Kurtosis (14/120)-1.0708000.030800 \tabularnewline Trim. Skewness (15/120)-0.1331000.596200 & Trim. Kurtosis (15/120)-1.0703000.033200 \tabularnewline Trim. Skewness (16/120)-0.1460000.568600 & Trim. Kurtosis (16/120)-1.0722000.034800 \tabularnewline Trim. Skewness (17/120)-0.1622000.528600 & Trim. Kurtosis (17/120)-1.0748000.035800 \tabularnewline Trim. Skewness (18/120)-0.1730000.509200 & Trim. Kurtosis (18/120)-1.0768000.037600 \tabularnewline Trim. Skewness (19/120)-0.1731000.509200 & Trim. Kurtosis (19/120)-1.0698000.041400 \tabularnewline Trim. Skewness (20/120)-0.1728000.515600 & Trim. Kurtosis (20/120)-1.0699000.043400 \tabularnewline Trim. Skewness (21/120)-0.1706000.528600 & Trim. Kurtosis (21/120)-1.0662000.046600 \tabularnewline Trim. Skewness (22/120)-0.1662000.541800 & Trim. Kurtosis (22/120)-1.0745000.047800 \tabularnewline Trim. Skewness (23/120)-0.1569000.568600 & Trim. Kurtosis (23/120)-1.0950000.046600 \tabularnewline Trim. Skewness (24/120)-0.1524000.589200 & Trim. Kurtosis (24/120)-1.1198000.044400 \tabularnewline Trim. Skewness (25/120)-0.1466000.603000 & Trim. Kurtosis (25/120)-1.1307000.045600 \tabularnewline Trim. Skewness (26/120)-0.1387000.631200 & Trim. Kurtosis (26/120)-1.1548000.043400 \tabularnewline Trim. Skewness (27/120)-0.1279000.660000 & Trim. Kurtosis (27/120)-1.1808000.042400 \tabularnewline Trim. Skewness (28/120)-0.1107000.711400 & Trim. Kurtosis (28/120)-1.2450000.034800 \tabularnewline Trim. Skewness (29/120)-0.1015000.733800 & Trim. Kurtosis (29/120)-1.2630000.034800 \tabularnewline Trim. Skewness (30/120)-0.0922000.764200 & Trim. Kurtosis (30/120)-1.2804000.034800 \tabularnewline Trim. Skewness (31/120)-0.0836000.787200 & Trim. Kurtosis (31/120)-1.2911000.036600 \tabularnewline Trim. Skewness (32/120)-0.0782000.802600 & Trim. Kurtosis (32/120)-1.3069000.036600 \tabularnewline Trim. Skewness (33/120)-0.0608000.849200 & Trim. Kurtosis (33/120)-1.3352000.036600 \tabularnewline Trim. Skewness (34/120)-0.0297000.928200 & Trim. Kurtosis (34/120)-1.3896000.032400 \tabularnewline Trim. Skewness (35/120)-0.0421000.896600 & Trim. Kurtosis (35/120)-1.3824000.036600 \tabularnewline Trim. Skewness (36/120)-0.0641000.849200 & Trim. Kurtosis (36/120)-1.3836000.039400 \tabularnewline Trim. Skewness (37/120)-0.0931000.787200 & Trim. Kurtosis (37/120)-1.3934000.042400 \tabularnewline Trim. Skewness (38/120)-0.1121000.749000 & Trim. Kurtosis (38/120)-1.3861000.047800 \tabularnewline Trim. Skewness (39/120)-0.1373000.704000 & Trim. Kurtosis (39/120)-1.3919000.051200 \tabularnewline Trim. Skewness (40/120)-0.1746000.638400 & Trim. Kurtosis (40/120)-1.3847000.057400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103716&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]0.133000[/C]0.541800[/C][C]Trim. Kurtosis (0/120)[/C]-0.119600[/C]0.779400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.101300[/C]0.645600[/C][C]Trim. Kurtosis (1/120)[/C]-0.458900[/C]0.298400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.032500[/C]0.880800[/C][C]Trim. Kurtosis (2/120)[/C]-0.688800[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.020200[/C]0.928200[/C][C]Trim. Kurtosis (3/120)[/C]-0.750900[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.017100[/C]0.936200[/C][C]Trim. Kurtosis (4/120)[/C]-0.808700[/C]0.073400[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.051200[/C]0.818000[/C][C]Trim. Kurtosis (5/120)[/C]-0.849500[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.088200[/C]0.704000[/C][C]Trim. Kurtosis (6/120)[/C]-0.906200[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.102400[/C]0.660000[/C][C]Trim. Kurtosis (7/120)[/C]-0.921300[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.115800[/C]0.624200[/C][C]Trim. Kurtosis (8/120)[/C]-0.944300[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.127500[/C]0.589200[/C][C]Trim. Kurtosis (9/120)[/C]-0.968000[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.140800[/C]0.555200[/C][C]Trim. Kurtosis (10/120)[/C]-1.014000[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.128200[/C]0.596200[/C][C]Trim. Kurtosis (11/120)[/C]-1.030200[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.112300[/C]0.645600[/C][C]Trim. Kurtosis (12/120)[/C]-1.063600[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.116200[/C]0.638400[/C][C]Trim. Kurtosis (13/120)[/C]-1.067800[/C]0.030000[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.122900[/C]0.624200[/C][C]Trim. Kurtosis (14/120)[/C]-1.070800[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.133100[/C]0.596200[/C][C]Trim. Kurtosis (15/120)[/C]-1.070300[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.146000[/C]0.568600[/C][C]Trim. Kurtosis (16/120)[/C]-1.072200[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.162200[/C]0.528600[/C][C]Trim. Kurtosis (17/120)[/C]-1.074800[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.173000[/C]0.509200[/C][C]Trim. Kurtosis (18/120)[/C]-1.076800[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.173100[/C]0.509200[/C][C]Trim. Kurtosis (19/120)[/C]-1.069800[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.172800[/C]0.515600[/C][C]Trim. Kurtosis (20/120)[/C]-1.069900[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.170600[/C]0.528600[/C][C]Trim. Kurtosis (21/120)[/C]-1.066200[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.166200[/C]0.541800[/C][C]Trim. Kurtosis (22/120)[/C]-1.074500[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.156900[/C]0.568600[/C][C]Trim. Kurtosis (23/120)[/C]-1.095000[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.152400[/C]0.589200[/C][C]Trim. Kurtosis (24/120)[/C]-1.119800[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.146600[/C]0.603000[/C][C]Trim. Kurtosis (25/120)[/C]-1.130700[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.138700[/C]0.631200[/C][C]Trim. Kurtosis (26/120)[/C]-1.154800[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.127900[/C]0.660000[/C][C]Trim. Kurtosis (27/120)[/C]-1.180800[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.110700[/C]0.711400[/C][C]Trim. Kurtosis (28/120)[/C]-1.245000[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.101500[/C]0.733800[/C][C]Trim. Kurtosis (29/120)[/C]-1.263000[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.092200[/C]0.764200[/C][C]Trim. Kurtosis (30/120)[/C]-1.280400[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.083600[/C]0.787200[/C][C]Trim. Kurtosis (31/120)[/C]-1.291100[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.078200[/C]0.802600[/C][C]Trim. Kurtosis (32/120)[/C]-1.306900[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.060800[/C]0.849200[/C][C]Trim. Kurtosis (33/120)[/C]-1.335200[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.029700[/C]0.928200[/C][C]Trim. Kurtosis (34/120)[/C]-1.389600[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.042100[/C]0.896600[/C][C]Trim. Kurtosis (35/120)[/C]-1.382400[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.064100[/C]0.849200[/C][C]Trim. Kurtosis (36/120)[/C]-1.383600[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.093100[/C]0.787200[/C][C]Trim. Kurtosis (37/120)[/C]-1.393400[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.112100[/C]0.749000[/C][C]Trim. Kurtosis (38/120)[/C]-1.386100[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.137300[/C]0.704000[/C][C]Trim. Kurtosis (39/120)[/C]-1.391900[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.174600[/C]0.638400[/C][C]Trim. Kurtosis (40/120)[/C]-1.384700[/C]0.057400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103716&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103716&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)0.1330000.541800Trim. Kurtosis (0/120)-0.1196000.779400
Trim. Skewness (1/120)0.1013000.645600Trim. Kurtosis (1/120)-0.4589000.298400
Trim. Skewness (2/120)0.0325000.880800Trim. Kurtosis (2/120)-0.6888000.121200
Trim. Skewness (3/120)0.0202000.928200Trim. Kurtosis (3/120)-0.7509000.093000
Trim. Skewness (4/120)-0.0171000.936200Trim. Kurtosis (4/120)-0.8087000.073400
Trim. Skewness (5/120)-0.0512000.818000Trim. Kurtosis (5/120)-0.8495000.062800
Trim. Skewness (6/120)-0.0882000.704000Trim. Kurtosis (6/120)-0.9062000.048800
Trim. Skewness (7/120)-0.1024000.660000Trim. Kurtosis (7/120)-0.9213000.046600
Trim. Skewness (8/120)-0.1158000.624200Trim. Kurtosis (8/120)-0.9443000.043400
Trim. Skewness (9/120)-0.1275000.589200Trim. Kurtosis (9/120)-0.9680000.040400
Trim. Skewness (10/120)-0.1408000.555200Trim. Kurtosis (10/120)-1.0140000.034000
Trim. Skewness (11/120)-0.1282000.596200Trim. Kurtosis (11/120)-1.0302000.032400
Trim. Skewness (12/120)-0.1123000.645600Trim. Kurtosis (12/120)-1.0636000.028600
Trim. Skewness (13/120)-0.1162000.638400Trim. Kurtosis (13/120)-1.0678000.030000
Trim. Skewness (14/120)-0.1229000.624200Trim. Kurtosis (14/120)-1.0708000.030800
Trim. Skewness (15/120)-0.1331000.596200Trim. Kurtosis (15/120)-1.0703000.033200
Trim. Skewness (16/120)-0.1460000.568600Trim. Kurtosis (16/120)-1.0722000.034800
Trim. Skewness (17/120)-0.1622000.528600Trim. Kurtosis (17/120)-1.0748000.035800
Trim. Skewness (18/120)-0.1730000.509200Trim. Kurtosis (18/120)-1.0768000.037600
Trim. Skewness (19/120)-0.1731000.509200Trim. Kurtosis (19/120)-1.0698000.041400
Trim. Skewness (20/120)-0.1728000.515600Trim. Kurtosis (20/120)-1.0699000.043400
Trim. Skewness (21/120)-0.1706000.528600Trim. Kurtosis (21/120)-1.0662000.046600
Trim. Skewness (22/120)-0.1662000.541800Trim. Kurtosis (22/120)-1.0745000.047800
Trim. Skewness (23/120)-0.1569000.568600Trim. Kurtosis (23/120)-1.0950000.046600
Trim. Skewness (24/120)-0.1524000.589200Trim. Kurtosis (24/120)-1.1198000.044400
Trim. Skewness (25/120)-0.1466000.603000Trim. Kurtosis (25/120)-1.1307000.045600
Trim. Skewness (26/120)-0.1387000.631200Trim. Kurtosis (26/120)-1.1548000.043400
Trim. Skewness (27/120)-0.1279000.660000Trim. Kurtosis (27/120)-1.1808000.042400
Trim. Skewness (28/120)-0.1107000.711400Trim. Kurtosis (28/120)-1.2450000.034800
Trim. Skewness (29/120)-0.1015000.733800Trim. Kurtosis (29/120)-1.2630000.034800
Trim. Skewness (30/120)-0.0922000.764200Trim. Kurtosis (30/120)-1.2804000.034800
Trim. Skewness (31/120)-0.0836000.787200Trim. Kurtosis (31/120)-1.2911000.036600
Trim. Skewness (32/120)-0.0782000.802600Trim. Kurtosis (32/120)-1.3069000.036600
Trim. Skewness (33/120)-0.0608000.849200Trim. Kurtosis (33/120)-1.3352000.036600
Trim. Skewness (34/120)-0.0297000.928200Trim. Kurtosis (34/120)-1.3896000.032400
Trim. Skewness (35/120)-0.0421000.896600Trim. Kurtosis (35/120)-1.3824000.036600
Trim. Skewness (36/120)-0.0641000.849200Trim. Kurtosis (36/120)-1.3836000.039400
Trim. Skewness (37/120)-0.0931000.787200Trim. Kurtosis (37/120)-1.3934000.042400
Trim. Skewness (38/120)-0.1121000.749000Trim. Kurtosis (38/120)-1.3861000.047800
Trim. Skewness (39/120)-0.1373000.704000Trim. Kurtosis (39/120)-1.3919000.051200
Trim. Skewness (40/120)-0.1746000.638400Trim. Kurtosis (40/120)-1.3847000.057400


Figures (Output of Computation)

Input Parameters & R Code

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