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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 18:44:29 +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/t1291142551nw3iwx4tynz0t3q.htm/, Retrieved Mon, 29 Apr 2024 16:06:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103735, Retrieved Mon, 29 Apr 2024 16:06:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact142

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 18:44:29] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
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88,49789714
87,74746937
87,12128117
86,72060219
87,53407359
88,80490734
87,34039376
88,40200584
89,19317923
89,65494261
89,78801273
86,73681276
89,98961489
89,10538982
85,95622592
88,88610762
90,26045427
85,09029474
88,29743395
87,15845199
88,25258995
86,8129348
84,13662371
83,26525901
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87,17667124
86,22373489
88,93977434
83,42829958
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86,02623237
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87,44077018
90,52324098
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86,79717003
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86,60102647
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88,32875385
88,65348288
85,0810797
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88,10683187
89,12572031
85,64873111
88,33991071
86,85754715
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88,66086503
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86,53418677
88,70007654
88,81879131
85,69644661
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90,71593012
91,45956284
89,03288307
90,5810859
88,3576592
89,140822
88,08008501
88,7148019
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91,22658219
86,82200284
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86,59981402
86,68425251
89,99173015
88,11830124
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86,50020289
86,62447463
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90,05191815
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92,56665821
88,06346031
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89,25091599
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88,0276623
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88,45304318
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88,30697879
86,12084491
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85,5069595
91,12797592
85,39168025
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87,0597428
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82,38286023
91,95486684
87,38903478
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Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.585100FISHER 4th Cent. Mom.52.844916
FISHER beta 10.006180FISHER beta 23.636734
FISHER gamma 1-0.078616FISHER gamma 20.636734
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.717663FISHER Test 22.906280
FISHER Test 1 Probability0.471600FISHER Test 2 Probability0.003600
Pearson 2-0.112412
Yule using Quartile definition:Weighted Average at Xnp-0.058571
Yule using Quartile definition:Weighted Average at X(n+1)p-0.054802
Yule using Quartile definition:Empirical Distribution Function-0.058571
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.051922
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.049021
Yule using Quartile definition:Closest Observation-0.058571
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.049021
Yule using Quartile definition:MS Excel (old versions)-0.057663
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.078853Kurtosis (small sample)0.655244
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.721978TEST 1 (small sample)3.005624
TEST 1 Prob. (small sample)0.465400TEST 1 Prob. (small sample)0.002600
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-0.585100 & FISHER 4th Cent. Mom.52.844916 \tabularnewline FISHER beta 10.006180 & FISHER beta 23.636734 \tabularnewline FISHER gamma 1-0.078616 & FISHER gamma 20.636734 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-0.717663 & FISHER Test 22.906280 \tabularnewline FISHER Test 1 Probability0.471600 & FISHER Test 2 Probability0.003600 \tabularnewline Pearson 2-0.112412 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.058571 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.054802 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.058571 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.051922 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.049021 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.058571 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.049021 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.057663 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.078853 & Kurtosis (small sample)0.655244 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-0.721978 & TEST 1 (small sample)3.005624 \tabularnewline TEST 1 Prob. (small sample)0.465400 & TEST 1 Prob. (small sample)0.002600 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103735&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]-0.585100[/C][C]FISHER 4th Cent. Mom.[/C]52.844916[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.006180[/C][C]FISHER beta 2[/C]3.636734[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.078616[/C][C]FISHER gamma 2[/C]0.636734[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.109545[/C][C]FISHER gamma 2 (S.E.)[/C]0.219089[/C][/ROW] [ROW][C]FISHER Test 1[/C]-0.717663[/C][C]FISHER Test 2[/C]2.906280[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.471600[/C][C]FISHER Test 2 Probability[/C]0.003600[/C][/ROW] [ROW][C]Pearson 2[/C]-0.112412[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.058571[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.054802[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.058571[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.051922[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.049021[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.058571[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.049021[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.057663[/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]-0.078853[/C][C]Kurtosis (small sample)[/C]0.655244[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.109218[/C][C]Kurtosis S.E. (small sample)[/C]0.218006[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]-0.721978[/C][C]TEST 1 (small sample)[/C]3.005624[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.465400[/C][C]TEST 1 Prob. (small sample)[/C]0.002600[/C][/ROW] [ROW][C]Observations[/C]500[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103735&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103735&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.-0.585100FISHER 4th Cent. Mom.52.844916
FISHER beta 10.006180FISHER beta 23.636734
FISHER gamma 1-0.078616FISHER gamma 20.636734
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.717663FISHER Test 22.906280
FISHER Test 1 Probability0.471600FISHER Test 2 Probability0.003600
Pearson 2-0.112412
Yule using Quartile definition:Weighted Average at Xnp-0.058571
Yule using Quartile definition:Weighted Average at X(n+1)p-0.054802
Yule using Quartile definition:Empirical Distribution Function-0.058571
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.051922
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.049021
Yule using Quartile definition:Closest Observation-0.058571
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.049021
Yule using Quartile definition:MS Excel (old versions)-0.057663
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.078853Kurtosis (small sample)0.655244
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.721978TEST 1 (small sample)3.005624
TEST 1 Prob. (small sample)0.465400TEST 1 Prob. (small sample)0.002600
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.0789000.465400Trim. Kurtosis (0/500)0.6552000.002600
Trim. Skewness (1/500)-0.0578000.596200Trim. Kurtosis (1/500)0.3888000.075000
Trim. Skewness (2/500)-0.0534000.624200Trim. Kurtosis (2/500)0.2563000.238000
Trim. Skewness (3/500)-0.0567000.603000Trim. Kurtosis (3/500)0.1573000.471600
Trim. Skewness (4/500)-0.0634000.562000Trim. Kurtosis (4/500)0.0547000.802600
Trim. Skewness (5/500)-0.0590000.589200Trim. Kurtosis (5/500)-0.0279000.896600
Trim. Skewness (6/500)-0.0580000.596200Trim. Kurtosis (6/500)-0.0771000.726400
Trim. Skewness (7/500)-0.0593000.589200Trim. Kurtosis (7/500)-0.1189000.589200
Trim. Skewness (8/500)-0.0602000.582400Trim. Kurtosis (8/500)-0.1637000.459200
Trim. Skewness (9/500)-0.0638000.562000Trim. Kurtosis (9/500)-0.2104000.342200
Trim. Skewness (10/500)-0.0651000.555200Trim. Kurtosis (10/500)-0.2546000.250200
Trim. Skewness (11/500)-0.0603000.589200Trim. Kurtosis (11/500)-0.2929000.186800
Trim. Skewness (12/500)-0.0562000.610000Trim. Kurtosis (12/500)-0.3330000.133600
Trim. Skewness (13/500)-0.0527000.638400Trim. Kurtosis (13/500)-0.3722000.095000
Trim. Skewness (14/500)-0.0460000.681800Trim. Kurtosis (14/500)-0.4066000.068800
Trim. Skewness (15/500)-0.0420000.704000Trim. Kurtosis (15/500)-0.4382000.051200
Trim. Skewness (16/500)-0.0380000.733800Trim. Kurtosis (16/500)-0.4742000.034800
Trim. Skewness (17/500)-0.0356000.749000Trim. Kurtosis (17/500)-0.5003000.026400
Trim. Skewness (18/500)-0.0330000.764200Trim. Kurtosis (18/500)-0.5251000.019800
Trim. Skewness (19/500)-0.0324000.771800Trim. Kurtosis (19/500)-0.5474000.015600
Trim. Skewness (20/500)-0.0308000.779400Trim. Kurtosis (20/500)-0.5673000.012400
Trim. Skewness (21/500)-0.0287000.794800Trim. Kurtosis (21/500)-0.5877000.009600
Trim. Skewness (22/500)-0.0268000.810400Trim. Kurtosis (22/500)-0.6100000.007400
Trim. Skewness (23/500)-0.0269000.810400Trim. Kurtosis (23/500)-0.6279000.006000
Trim. Skewness (24/500)-0.0286000.802600Trim. Kurtosis (24/500)-0.6451000.004800
Trim. Skewness (25/500)-0.0298000.794800Trim. Kurtosis (25/500)-0.6639000.003800
Trim. Skewness (26/500)-0.0323000.771800Trim. Kurtosis (26/500)-0.6797000.003000
Trim. Skewness (27/500)-0.0353000.756600Trim. Kurtosis (27/500)-0.6967000.002400
Trim. Skewness (28/500)-0.0382000.741400Trim. Kurtosis (28/500)-0.7152000.002000
Trim. Skewness (29/500)-0.0419000.711400Trim. Kurtosis (29/500)-0.7288000.001600
Trim. Skewness (30/500)-0.0458000.689200Trim. Kurtosis (30/500)-0.7419000.001400
Trim. Skewness (31/500)-0.0486000.674400Trim. Kurtosis (31/500)-0.7541000.001200
Trim. Skewness (32/500)-0.0502000.667200Trim. Kurtosis (32/500)-0.7646000.001000
Trim. Skewness (33/500)-0.0529000.645600Trim. Kurtosis (33/500)-0.7753000.001000
Trim. Skewness (34/500)-0.0541000.638400Trim. Kurtosis (34/500)-0.7841000.000800
Trim. Skewness (35/500)-0.0556000.631200Trim. Kurtosis (35/500)-0.7939000.000800
Trim. Skewness (36/500)-0.0569000.624200Trim. Kurtosis (36/500)-0.8045000.000600
Trim. Skewness (37/500)-0.0587000.617000Trim. Kurtosis (37/500)-0.8153000.000600
Trim. Skewness (38/500)-0.0605000.603000Trim. Kurtosis (38/500)-0.8245000.000400
Trim. Skewness (39/500)-0.0622000.596200Trim. Kurtosis (39/500)-0.8341000.000400
Trim. Skewness (40/500)-0.0649000.582400Trim. Kurtosis (40/500)-0.8428000.000400

\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 (0/500)-0.0789000.465400 & Trim. Kurtosis (0/500)0.6552000.002600 \tabularnewline Trim. Skewness (1/500)-0.0578000.596200 & Trim. Kurtosis (1/500)0.3888000.075000 \tabularnewline Trim. Skewness (2/500)-0.0534000.624200 & Trim. Kurtosis (2/500)0.2563000.238000 \tabularnewline Trim. Skewness (3/500)-0.0567000.603000 & Trim. Kurtosis (3/500)0.1573000.471600 \tabularnewline Trim. Skewness (4/500)-0.0634000.562000 & Trim. Kurtosis (4/500)0.0547000.802600 \tabularnewline Trim. Skewness (5/500)-0.0590000.589200 & Trim. Kurtosis (5/500)-0.0279000.896600 \tabularnewline Trim. Skewness (6/500)-0.0580000.596200 & Trim. Kurtosis (6/500)-0.0771000.726400 \tabularnewline Trim. Skewness (7/500)-0.0593000.589200 & Trim. Kurtosis (7/500)-0.1189000.589200 \tabularnewline Trim. Skewness (8/500)-0.0602000.582400 & Trim. Kurtosis (8/500)-0.1637000.459200 \tabularnewline Trim. Skewness (9/500)-0.0638000.562000 & Trim. Kurtosis (9/500)-0.2104000.342200 \tabularnewline Trim. Skewness (10/500)-0.0651000.555200 & Trim. Kurtosis (10/500)-0.2546000.250200 \tabularnewline Trim. Skewness (11/500)-0.0603000.589200 & Trim. Kurtosis (11/500)-0.2929000.186800 \tabularnewline Trim. Skewness (12/500)-0.0562000.610000 & Trim. Kurtosis (12/500)-0.3330000.133600 \tabularnewline Trim. Skewness (13/500)-0.0527000.638400 & Trim. Kurtosis (13/500)-0.3722000.095000 \tabularnewline Trim. Skewness (14/500)-0.0460000.681800 & Trim. Kurtosis (14/500)-0.4066000.068800 \tabularnewline Trim. Skewness (15/500)-0.0420000.704000 & Trim. Kurtosis (15/500)-0.4382000.051200 \tabularnewline Trim. Skewness (16/500)-0.0380000.733800 & Trim. Kurtosis (16/500)-0.4742000.034800 \tabularnewline Trim. Skewness (17/500)-0.0356000.749000 & Trim. Kurtosis (17/500)-0.5003000.026400 \tabularnewline Trim. Skewness (18/500)-0.0330000.764200 & Trim. Kurtosis (18/500)-0.5251000.019800 \tabularnewline Trim. Skewness (19/500)-0.0324000.771800 & Trim. Kurtosis (19/500)-0.5474000.015600 \tabularnewline Trim. Skewness (20/500)-0.0308000.779400 & Trim. Kurtosis (20/500)-0.5673000.012400 \tabularnewline Trim. Skewness (21/500)-0.0287000.794800 & Trim. Kurtosis (21/500)-0.5877000.009600 \tabularnewline Trim. Skewness (22/500)-0.0268000.810400 & Trim. Kurtosis (22/500)-0.6100000.007400 \tabularnewline Trim. Skewness (23/500)-0.0269000.810400 & Trim. Kurtosis (23/500)-0.6279000.006000 \tabularnewline Trim. Skewness (24/500)-0.0286000.802600 & Trim. Kurtosis (24/500)-0.6451000.004800 \tabularnewline Trim. Skewness (25/500)-0.0298000.794800 & Trim. Kurtosis (25/500)-0.6639000.003800 \tabularnewline Trim. Skewness (26/500)-0.0323000.771800 & Trim. Kurtosis (26/500)-0.6797000.003000 \tabularnewline Trim. Skewness (27/500)-0.0353000.756600 & Trim. Kurtosis (27/500)-0.6967000.002400 \tabularnewline Trim. Skewness (28/500)-0.0382000.741400 & Trim. Kurtosis (28/500)-0.7152000.002000 \tabularnewline Trim. Skewness (29/500)-0.0419000.711400 & Trim. Kurtosis (29/500)-0.7288000.001600 \tabularnewline Trim. Skewness (30/500)-0.0458000.689200 & Trim. Kurtosis (30/500)-0.7419000.001400 \tabularnewline Trim. Skewness (31/500)-0.0486000.674400 & Trim. Kurtosis (31/500)-0.7541000.001200 \tabularnewline Trim. Skewness (32/500)-0.0502000.667200 & Trim. Kurtosis (32/500)-0.7646000.001000 \tabularnewline Trim. Skewness (33/500)-0.0529000.645600 & Trim. Kurtosis (33/500)-0.7753000.001000 \tabularnewline Trim. Skewness (34/500)-0.0541000.638400 & Trim. Kurtosis (34/500)-0.7841000.000800 \tabularnewline Trim. Skewness (35/500)-0.0556000.631200 & Trim. Kurtosis (35/500)-0.7939000.000800 \tabularnewline Trim. Skewness (36/500)-0.0569000.624200 & Trim. Kurtosis (36/500)-0.8045000.000600 \tabularnewline Trim. Skewness (37/500)-0.0587000.617000 & Trim. Kurtosis (37/500)-0.8153000.000600 \tabularnewline Trim. Skewness (38/500)-0.0605000.603000 & Trim. Kurtosis (38/500)-0.8245000.000400 \tabularnewline Trim. Skewness (39/500)-0.0622000.596200 & Trim. Kurtosis (39/500)-0.8341000.000400 \tabularnewline Trim. Skewness (40/500)-0.0649000.582400 & Trim. Kurtosis (40/500)-0.8428000.000400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103735&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 (0/500)[/C]-0.078900[/C]0.465400[/C][C]Trim. Kurtosis (0/500)[/C]0.655200[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.057800[/C]0.596200[/C][C]Trim. Kurtosis (1/500)[/C]0.388800[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.053400[/C]0.624200[/C][C]Trim. Kurtosis (2/500)[/C]0.256300[/C]0.238000[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.056700[/C]0.603000[/C][C]Trim. Kurtosis (3/500)[/C]0.157300[/C]0.471600[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.063400[/C]0.562000[/C][C]Trim. Kurtosis (4/500)[/C]0.054700[/C]0.802600[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.059000[/C]0.589200[/C][C]Trim. Kurtosis (5/500)[/C]-0.027900[/C]0.896600[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.058000[/C]0.596200[/C][C]Trim. Kurtosis (6/500)[/C]-0.077100[/C]0.726400[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.059300[/C]0.589200[/C][C]Trim. Kurtosis (7/500)[/C]-0.118900[/C]0.589200[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.060200[/C]0.582400[/C][C]Trim. Kurtosis (8/500)[/C]-0.163700[/C]0.459200[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.063800[/C]0.562000[/C][C]Trim. Kurtosis (9/500)[/C]-0.210400[/C]0.342200[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.065100[/C]0.555200[/C][C]Trim. Kurtosis (10/500)[/C]-0.254600[/C]0.250200[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.060300[/C]0.589200[/C][C]Trim. Kurtosis (11/500)[/C]-0.292900[/C]0.186800[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.056200[/C]0.610000[/C][C]Trim. Kurtosis (12/500)[/C]-0.333000[/C]0.133600[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.052700[/C]0.638400[/C][C]Trim. Kurtosis (13/500)[/C]-0.372200[/C]0.095000[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.046000[/C]0.681800[/C][C]Trim. Kurtosis (14/500)[/C]-0.406600[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.042000[/C]0.704000[/C][C]Trim. Kurtosis (15/500)[/C]-0.438200[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.038000[/C]0.733800[/C][C]Trim. Kurtosis (16/500)[/C]-0.474200[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.035600[/C]0.749000[/C][C]Trim. Kurtosis (17/500)[/C]-0.500300[/C]0.026400[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.033000[/C]0.764200[/C][C]Trim. Kurtosis (18/500)[/C]-0.525100[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.032400[/C]0.771800[/C][C]Trim. Kurtosis (19/500)[/C]-0.547400[/C]0.015600[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.030800[/C]0.779400[/C][C]Trim. Kurtosis (20/500)[/C]-0.567300[/C]0.012400[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.028700[/C]0.794800[/C][C]Trim. Kurtosis (21/500)[/C]-0.587700[/C]0.009600[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.026800[/C]0.810400[/C][C]Trim. Kurtosis (22/500)[/C]-0.610000[/C]0.007400[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.026900[/C]0.810400[/C][C]Trim. Kurtosis (23/500)[/C]-0.627900[/C]0.006000[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.028600[/C]0.802600[/C][C]Trim. Kurtosis (24/500)[/C]-0.645100[/C]0.004800[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.029800[/C]0.794800[/C][C]Trim. Kurtosis (25/500)[/C]-0.663900[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.032300[/C]0.771800[/C][C]Trim. Kurtosis (26/500)[/C]-0.679700[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.035300[/C]0.756600[/C][C]Trim. Kurtosis (27/500)[/C]-0.696700[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.038200[/C]0.741400[/C][C]Trim. Kurtosis (28/500)[/C]-0.715200[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.041900[/C]0.711400[/C][C]Trim. Kurtosis (29/500)[/C]-0.728800[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.045800[/C]0.689200[/C][C]Trim. Kurtosis (30/500)[/C]-0.741900[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.048600[/C]0.674400[/C][C]Trim. Kurtosis (31/500)[/C]-0.754100[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.050200[/C]0.667200[/C][C]Trim. Kurtosis (32/500)[/C]-0.764600[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.052900[/C]0.645600[/C][C]Trim. Kurtosis (33/500)[/C]-0.775300[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.054100[/C]0.638400[/C][C]Trim. Kurtosis (34/500)[/C]-0.784100[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.055600[/C]0.631200[/C][C]Trim. Kurtosis (35/500)[/C]-0.793900[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.056900[/C]0.624200[/C][C]Trim. Kurtosis (36/500)[/C]-0.804500[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.058700[/C]0.617000[/C][C]Trim. Kurtosis (37/500)[/C]-0.815300[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.060500[/C]0.603000[/C][C]Trim. Kurtosis (38/500)[/C]-0.824500[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.062200[/C]0.596200[/C][C]Trim. Kurtosis (39/500)[/C]-0.834100[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.064900[/C]0.582400[/C][C]Trim. Kurtosis (40/500)[/C]-0.842800[/C]0.000400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103735&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103735&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 (0/500)-0.0789000.465400Trim. Kurtosis (0/500)0.6552000.002600
Trim. Skewness (1/500)-0.0578000.596200Trim. Kurtosis (1/500)0.3888000.075000
Trim. Skewness (2/500)-0.0534000.624200Trim. Kurtosis (2/500)0.2563000.238000
Trim. Skewness (3/500)-0.0567000.603000Trim. Kurtosis (3/500)0.1573000.471600
Trim. Skewness (4/500)-0.0634000.562000Trim. Kurtosis (4/500)0.0547000.802600
Trim. Skewness (5/500)-0.0590000.589200Trim. Kurtosis (5/500)-0.0279000.896600
Trim. Skewness (6/500)-0.0580000.596200Trim. Kurtosis (6/500)-0.0771000.726400
Trim. Skewness (7/500)-0.0593000.589200Trim. Kurtosis (7/500)-0.1189000.589200
Trim. Skewness (8/500)-0.0602000.582400Trim. Kurtosis (8/500)-0.1637000.459200
Trim. Skewness (9/500)-0.0638000.562000Trim. Kurtosis (9/500)-0.2104000.342200
Trim. Skewness (10/500)-0.0651000.555200Trim. Kurtosis (10/500)-0.2546000.250200
Trim. Skewness (11/500)-0.0603000.589200Trim. Kurtosis (11/500)-0.2929000.186800
Trim. Skewness (12/500)-0.0562000.610000Trim. Kurtosis (12/500)-0.3330000.133600
Trim. Skewness (13/500)-0.0527000.638400Trim. Kurtosis (13/500)-0.3722000.095000
Trim. Skewness (14/500)-0.0460000.681800Trim. Kurtosis (14/500)-0.4066000.068800
Trim. Skewness (15/500)-0.0420000.704000Trim. Kurtosis (15/500)-0.4382000.051200
Trim. Skewness (16/500)-0.0380000.733800Trim. Kurtosis (16/500)-0.4742000.034800
Trim. Skewness (17/500)-0.0356000.749000Trim. Kurtosis (17/500)-0.5003000.026400
Trim. Skewness (18/500)-0.0330000.764200Trim. Kurtosis (18/500)-0.5251000.019800
Trim. Skewness (19/500)-0.0324000.771800Trim. Kurtosis (19/500)-0.5474000.015600
Trim. Skewness (20/500)-0.0308000.779400Trim. Kurtosis (20/500)-0.5673000.012400
Trim. Skewness (21/500)-0.0287000.794800Trim. Kurtosis (21/500)-0.5877000.009600
Trim. Skewness (22/500)-0.0268000.810400Trim. Kurtosis (22/500)-0.6100000.007400
Trim. Skewness (23/500)-0.0269000.810400Trim. Kurtosis (23/500)-0.6279000.006000
Trim. Skewness (24/500)-0.0286000.802600Trim. Kurtosis (24/500)-0.6451000.004800
Trim. Skewness (25/500)-0.0298000.794800Trim. Kurtosis (25/500)-0.6639000.003800
Trim. Skewness (26/500)-0.0323000.771800Trim. Kurtosis (26/500)-0.6797000.003000
Trim. Skewness (27/500)-0.0353000.756600Trim. Kurtosis (27/500)-0.6967000.002400
Trim. Skewness (28/500)-0.0382000.741400Trim. Kurtosis (28/500)-0.7152000.002000
Trim. Skewness (29/500)-0.0419000.711400Trim. Kurtosis (29/500)-0.7288000.001600
Trim. Skewness (30/500)-0.0458000.689200Trim. Kurtosis (30/500)-0.7419000.001400
Trim. Skewness (31/500)-0.0486000.674400Trim. Kurtosis (31/500)-0.7541000.001200
Trim. Skewness (32/500)-0.0502000.667200Trim. Kurtosis (32/500)-0.7646000.001000
Trim. Skewness (33/500)-0.0529000.645600Trim. Kurtosis (33/500)-0.7753000.001000
Trim. Skewness (34/500)-0.0541000.638400Trim. Kurtosis (34/500)-0.7841000.000800
Trim. Skewness (35/500)-0.0556000.631200Trim. Kurtosis (35/500)-0.7939000.000800
Trim. Skewness (36/500)-0.0569000.624200Trim. Kurtosis (36/500)-0.8045000.000600
Trim. Skewness (37/500)-0.0587000.617000Trim. Kurtosis (37/500)-0.8153000.000600
Trim. Skewness (38/500)-0.0605000.603000Trim. Kurtosis (38/500)-0.8245000.000400
Trim. Skewness (39/500)-0.0622000.596200Trim. Kurtosis (39/500)-0.8341000.000400
Trim. Skewness (40/500)-0.0649000.582400Trim. Kurtosis (40/500)-0.8428000.000400


Figures (Output of Computation)

Input Parameters & R Code

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