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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 18:41:32 +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/t12911423748amu0hx1zbv70mb.htm/, Retrieved Mon, 29 Apr 2024 15:05:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103728, Retrieved Mon, 29 Apr 2024 15:05:45 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144

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 18:41:32] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
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Histogram
Boxplots 
80,30492817
82,41831292
78,23142005
79,30998555
79,33354838
79,80809546
82,83405312
80,60113118
81,22448193
79,51909061
83,56339358
80,12734212
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80,14699197
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78,32997066
82,5939708
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81,11573716
80,91206771
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79,85141977
83,04716922
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82,129342
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79,0082994
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81,91192798
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80,28021962
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80,59739324
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77,8305553
80,60914237
81,73876422
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75,7635188
80,16040178
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80,22115085
80,09986205
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79,68344595
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82,8089901
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77,6084797
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80,68692048
78,18779891
81,37118849
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80,12401771
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82,60204988
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80,16941404
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80,69958364
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81,94108804
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81,5411914
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74,5682421
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82,08996993
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81,59758638
75,80267575
81,32673043
80,99152904
84,4473457
81,92264603
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79,58254976
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79,71018107
81,38260003
80,26727014
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82,21768949
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79,41341293
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81,80649899
81,46134362
80,71609179
81,83670681
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81,23831916
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Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.135862FISHER 4th Cent. Mom.47.909545
FISHER beta 10.000279FISHER beta 22.929724
FISHER gamma 10.016707FISHER gamma 2-0.070276
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.152515FISHER Test 2-0.320765
FISHER Test 1 Probability0.872800FISHER Test 2 Probability0.741400
Pearson 20.172380
Yule using Quartile definition:Weighted Average at Xnp0.070680
Yule using Quartile definition:Weighted Average at X(n+1)p0.078751
Yule using Quartile definition:Empirical Distribution Function0.070680
Yule using Quartile definition:Empirical Distribution Function - Averaging0.082537
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.086365
Yule using Quartile definition:Closest Observation0.070680
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.086365
Yule using Quartile definition:MS Excel (old versions)0.075008
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.016757Kurtosis (small sample)-0.058887
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.153432TEST 1 (small sample)-0.270118
TEST 1 Prob. (small sample)0.872800TEST 1 Prob. (small sample)0.779400
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.0.135862 & FISHER 4th Cent. Mom.47.909545 \tabularnewline FISHER beta 10.000279 & FISHER beta 22.929724 \tabularnewline FISHER gamma 10.016707 & FISHER gamma 2-0.070276 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 10.152515 & FISHER Test 2-0.320765 \tabularnewline FISHER Test 1 Probability0.872800 & FISHER Test 2 Probability0.741400 \tabularnewline Pearson 20.172380 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.070680 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.078751 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.070680 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.082537 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.086365 & & \tabularnewline Yule using Quartile definition:Closest Observation0.070680 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.086365 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.075008 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.016757 & Kurtosis (small sample)-0.058887 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)0.153432 & TEST 1 (small sample)-0.270118 \tabularnewline TEST 1 Prob. (small sample)0.872800 & TEST 1 Prob. (small sample)0.779400 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103728&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]0.135862[/C][C]FISHER 4th Cent. Mom.[/C]47.909545[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.000279[/C][C]FISHER beta 2[/C]2.929724[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.016707[/C][C]FISHER gamma 2[/C]-0.070276[/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]0.152515[/C][C]FISHER Test 2[/C]-0.320765[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.872800[/C][C]FISHER Test 2 Probability[/C]0.741400[/C][/ROW] [ROW][C]Pearson 2[/C]0.172380[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.070680[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.078751[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.070680[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.082537[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.086365[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.070680[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.086365[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.075008[/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]0.016757[/C][C]Kurtosis (small sample)[/C]-0.058887[/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]0.153432[/C][C]TEST 1 (small sample)[/C]-0.270118[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.872800[/C][C]TEST 1 Prob. (small sample)[/C]0.779400[/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=103728&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103728&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.135862FISHER 4th Cent. Mom.47.909545
FISHER beta 10.000279FISHER beta 22.929724
FISHER gamma 10.016707FISHER gamma 2-0.070276
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.152515FISHER Test 2-0.320765
FISHER Test 1 Probability0.872800FISHER Test 2 Probability0.741400
Pearson 20.172380
Yule using Quartile definition:Weighted Average at Xnp0.070680
Yule using Quartile definition:Weighted Average at X(n+1)p0.078751
Yule using Quartile definition:Empirical Distribution Function0.070680
Yule using Quartile definition:Empirical Distribution Function - Averaging0.082537
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.086365
Yule using Quartile definition:Closest Observation0.070680
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.086365
Yule using Quartile definition:MS Excel (old versions)0.075008
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.016757Kurtosis (small sample)-0.058887
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.153432TEST 1 (small sample)-0.270118
TEST 1 Prob. (small sample)0.872800TEST 1 Prob. (small sample)0.779400
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.0168000.872800Trim. Kurtosis (0/500)-0.0589000.779400
Trim. Skewness (1/500)0.0046000.960200Trim. Kurtosis (1/500)-0.1693000.435400
Trim. Skewness (2/500)0.0108000.920400Trim. Kurtosis (2/500)-0.2283000.293800
Trim. Skewness (3/500)0.0146000.888600Trim. Kurtosis (3/500)-0.2777000.204000
Trim. Skewness (4/500)0.0242000.825800Trim. Kurtosis (4/500)-0.3135000.152800
Trim. Skewness (5/500)0.0298000.779400Trim. Kurtosis (5/500)-0.3433000.118800
Trim. Skewness (6/500)0.0368000.733800Trim. Kurtosis (6/500)-0.3742000.089200
Trim. Skewness (7/500)0.0432000.689200Trim. Kurtosis (7/500)-0.4029000.067200
Trim. Skewness (8/500)0.0502000.645600Trim. Kurtosis (8/500)-0.4345000.048800
Trim. Skewness (9/500)0.0599000.589200Trim. Kurtosis (9/500)-0.4571000.039400
Trim. Skewness (10/500)0.0700000.528600Trim. Kurtosis (10/500)-0.4781000.031600
Trim. Skewness (11/500)0.0808000.465400Trim. Kurtosis (11/500)-0.4993000.025000
Trim. Skewness (12/500)0.0910000.412200Trim. Kurtosis (12/500)-0.5209000.019200
Trim. Skewness (13/500)0.1004000.368200Trim. Kurtosis (13/500)-0.5403000.015600
Trim. Skewness (14/500)0.1101000.327000Trim. Kurtosis (14/500)-0.5605000.012400
Trim. Skewness (15/500)0.1188000.289200Trim. Kurtosis (15/500)-0.5800000.009600
Trim. Skewness (16/500)0.1244000.267000Trim. Kurtosis (16/500)-0.5946000.008200
Trim. Skewness (17/500)0.1305000.246000Trim. Kurtosis (17/500)-0.6092000.007000
Trim. Skewness (18/500)0.1338000.234000Trim. Kurtosis (18/500)-0.6198000.006000
Trim. Skewness (19/500)0.1364000.226200Trim. Kurtosis (19/500)-0.6284000.005400
Trim. Skewness (20/500)0.1385000.222400Trim. Kurtosis (20/500)-0.6378000.005000
Trim. Skewness (21/500)0.1398000.218600Trim. Kurtosis (21/500)-0.6469000.004400
Trim. Skewness (22/500)0.1407000.215000Trim. Kurtosis (22/500)-0.6567000.004000
Trim. Skewness (23/500)0.1420000.215000Trim. Kurtosis (23/500)-0.6652000.003600
Trim. Skewness (24/500)0.1424000.211200Trim. Kurtosis (24/500)-0.6736000.003200
Trim. Skewness (25/500)0.1430000.211200Trim. Kurtosis (25/500)-0.6834000.002800
Trim. Skewness (26/500)0.1440000.211200Trim. Kurtosis (26/500)-0.6922000.002600
Trim. Skewness (27/500)0.1458000.204000Trim. Kurtosis (27/500)-0.7002000.002400
Trim. Skewness (28/500)0.1476000.200600Trim. Kurtosis (28/500)-0.7096000.002200
Trim. Skewness (29/500)0.1485000.200600Trim. Kurtosis (29/500)-0.7192000.001800
Trim. Skewness (30/500)0.1491000.197000Trim. Kurtosis (30/500)-0.7302000.001600
Trim. Skewness (31/500)0.1491000.200600Trim. Kurtosis (31/500)-0.7403000.001400
Trim. Skewness (32/500)0.1487000.200600Trim. Kurtosis (32/500)-0.7508000.001200
Trim. Skewness (33/500)0.1485000.204000Trim. Kurtosis (33/500)-0.7596000.001200
Trim. Skewness (34/500)0.1485000.204000Trim. Kurtosis (34/500)-0.7678000.001000
Trim. Skewness (35/500)0.1474000.207600Trim. Kurtosis (35/500)-0.7758000.001000
Trim. Skewness (36/500)0.1453000.215000Trim. Kurtosis (36/500)-0.7842000.000800
Trim. Skewness (37/500)0.1431000.222400Trim. Kurtosis (37/500)-0.7940000.000800
Trim. Skewness (38/500)0.1407000.234000Trim. Kurtosis (38/500)-0.8025000.000600
Trim. Skewness (39/500)0.1378000.246000Trim. Kurtosis (39/500)-0.8106000.000600
Trim. Skewness (40/500)0.1357000.254200Trim. Kurtosis (40/500)-0.8182000.000600

\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)0.0168000.872800 & Trim. Kurtosis (0/500)-0.0589000.779400 \tabularnewline Trim. Skewness (1/500)0.0046000.960200 & Trim. Kurtosis (1/500)-0.1693000.435400 \tabularnewline Trim. Skewness (2/500)0.0108000.920400 & Trim. Kurtosis (2/500)-0.2283000.293800 \tabularnewline Trim. Skewness (3/500)0.0146000.888600 & Trim. Kurtosis (3/500)-0.2777000.204000 \tabularnewline Trim. Skewness (4/500)0.0242000.825800 & Trim. Kurtosis (4/500)-0.3135000.152800 \tabularnewline Trim. Skewness (5/500)0.0298000.779400 & Trim. Kurtosis (5/500)-0.3433000.118800 \tabularnewline Trim. Skewness (6/500)0.0368000.733800 & Trim. Kurtosis (6/500)-0.3742000.089200 \tabularnewline Trim. Skewness (7/500)0.0432000.689200 & Trim. Kurtosis (7/500)-0.4029000.067200 \tabularnewline Trim. Skewness (8/500)0.0502000.645600 & Trim. Kurtosis (8/500)-0.4345000.048800 \tabularnewline Trim. Skewness (9/500)0.0599000.589200 & Trim. Kurtosis (9/500)-0.4571000.039400 \tabularnewline Trim. Skewness (10/500)0.0700000.528600 & Trim. Kurtosis (10/500)-0.4781000.031600 \tabularnewline Trim. Skewness (11/500)0.0808000.465400 & Trim. Kurtosis (11/500)-0.4993000.025000 \tabularnewline Trim. Skewness (12/500)0.0910000.412200 & Trim. Kurtosis (12/500)-0.5209000.019200 \tabularnewline Trim. Skewness (13/500)0.1004000.368200 & Trim. Kurtosis (13/500)-0.5403000.015600 \tabularnewline Trim. Skewness (14/500)0.1101000.327000 & Trim. Kurtosis (14/500)-0.5605000.012400 \tabularnewline Trim. Skewness (15/500)0.1188000.289200 & Trim. Kurtosis (15/500)-0.5800000.009600 \tabularnewline Trim. Skewness (16/500)0.1244000.267000 & Trim. Kurtosis (16/500)-0.5946000.008200 \tabularnewline Trim. Skewness (17/500)0.1305000.246000 & Trim. Kurtosis (17/500)-0.6092000.007000 \tabularnewline Trim. Skewness (18/500)0.1338000.234000 & Trim. Kurtosis (18/500)-0.6198000.006000 \tabularnewline Trim. Skewness (19/500)0.1364000.226200 & Trim. Kurtosis (19/500)-0.6284000.005400 \tabularnewline Trim. Skewness (20/500)0.1385000.222400 & Trim. Kurtosis (20/500)-0.6378000.005000 \tabularnewline Trim. Skewness (21/500)0.1398000.218600 & Trim. Kurtosis (21/500)-0.6469000.004400 \tabularnewline Trim. Skewness (22/500)0.1407000.215000 & Trim. Kurtosis (22/500)-0.6567000.004000 \tabularnewline Trim. Skewness (23/500)0.1420000.215000 & Trim. Kurtosis (23/500)-0.6652000.003600 \tabularnewline Trim. Skewness (24/500)0.1424000.211200 & Trim. Kurtosis (24/500)-0.6736000.003200 \tabularnewline Trim. Skewness (25/500)0.1430000.211200 & Trim. Kurtosis (25/500)-0.6834000.002800 \tabularnewline Trim. Skewness (26/500)0.1440000.211200 & Trim. Kurtosis (26/500)-0.6922000.002600 \tabularnewline Trim. Skewness (27/500)0.1458000.204000 & Trim. Kurtosis (27/500)-0.7002000.002400 \tabularnewline Trim. Skewness (28/500)0.1476000.200600 & Trim. Kurtosis (28/500)-0.7096000.002200 \tabularnewline Trim. Skewness (29/500)0.1485000.200600 & Trim. Kurtosis (29/500)-0.7192000.001800 \tabularnewline Trim. Skewness (30/500)0.1491000.197000 & Trim. Kurtosis (30/500)-0.7302000.001600 \tabularnewline Trim. Skewness (31/500)0.1491000.200600 & Trim. Kurtosis (31/500)-0.7403000.001400 \tabularnewline Trim. Skewness (32/500)0.1487000.200600 & Trim. Kurtosis (32/500)-0.7508000.001200 \tabularnewline Trim. Skewness (33/500)0.1485000.204000 & Trim. Kurtosis (33/500)-0.7596000.001200 \tabularnewline Trim. Skewness (34/500)0.1485000.204000 & Trim. Kurtosis (34/500)-0.7678000.001000 \tabularnewline Trim. Skewness (35/500)0.1474000.207600 & Trim. Kurtosis (35/500)-0.7758000.001000 \tabularnewline Trim. Skewness (36/500)0.1453000.215000 & Trim. Kurtosis (36/500)-0.7842000.000800 \tabularnewline Trim. Skewness (37/500)0.1431000.222400 & Trim. Kurtosis (37/500)-0.7940000.000800 \tabularnewline Trim. Skewness (38/500)0.1407000.234000 & Trim. Kurtosis (38/500)-0.8025000.000600 \tabularnewline Trim. Skewness (39/500)0.1378000.246000 & Trim. Kurtosis (39/500)-0.8106000.000600 \tabularnewline Trim. Skewness (40/500)0.1357000.254200 & Trim. Kurtosis (40/500)-0.8182000.000600 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103728&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]0.016800[/C]0.872800[/C][C]Trim. Kurtosis (0/500)[/C]-0.058900[/C]0.779400[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.004600[/C]0.960200[/C][C]Trim. Kurtosis (1/500)[/C]-0.169300[/C]0.435400[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.010800[/C]0.920400[/C][C]Trim. Kurtosis (2/500)[/C]-0.228300[/C]0.293800[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.014600[/C]0.888600[/C][C]Trim. Kurtosis (3/500)[/C]-0.277700[/C]0.204000[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.024200[/C]0.825800[/C][C]Trim. Kurtosis (4/500)[/C]-0.313500[/C]0.152800[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.029800[/C]0.779400[/C][C]Trim. Kurtosis (5/500)[/C]-0.343300[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.036800[/C]0.733800[/C][C]Trim. Kurtosis (6/500)[/C]-0.374200[/C]0.089200[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.043200[/C]0.689200[/C][C]Trim. Kurtosis (7/500)[/C]-0.402900[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.050200[/C]0.645600[/C][C]Trim. Kurtosis (8/500)[/C]-0.434500[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.059900[/C]0.589200[/C][C]Trim. Kurtosis (9/500)[/C]-0.457100[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.070000[/C]0.528600[/C][C]Trim. Kurtosis (10/500)[/C]-0.478100[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.080800[/C]0.465400[/C][C]Trim. Kurtosis (11/500)[/C]-0.499300[/C]0.025000[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.091000[/C]0.412200[/C][C]Trim. Kurtosis (12/500)[/C]-0.520900[/C]0.019200[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.100400[/C]0.368200[/C][C]Trim. Kurtosis (13/500)[/C]-0.540300[/C]0.015600[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.110100[/C]0.327000[/C][C]Trim. Kurtosis (14/500)[/C]-0.560500[/C]0.012400[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.118800[/C]0.289200[/C][C]Trim. Kurtosis (15/500)[/C]-0.580000[/C]0.009600[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.124400[/C]0.267000[/C][C]Trim. Kurtosis (16/500)[/C]-0.594600[/C]0.008200[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.130500[/C]0.246000[/C][C]Trim. Kurtosis (17/500)[/C]-0.609200[/C]0.007000[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.133800[/C]0.234000[/C][C]Trim. Kurtosis (18/500)[/C]-0.619800[/C]0.006000[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]0.136400[/C]0.226200[/C][C]Trim. Kurtosis (19/500)[/C]-0.628400[/C]0.005400[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]0.138500[/C]0.222400[/C][C]Trim. Kurtosis (20/500)[/C]-0.637800[/C]0.005000[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]0.139800[/C]0.218600[/C][C]Trim. Kurtosis (21/500)[/C]-0.646900[/C]0.004400[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]0.140700[/C]0.215000[/C][C]Trim. Kurtosis (22/500)[/C]-0.656700[/C]0.004000[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]0.142000[/C]0.215000[/C][C]Trim. Kurtosis (23/500)[/C]-0.665200[/C]0.003600[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]0.142400[/C]0.211200[/C][C]Trim. Kurtosis (24/500)[/C]-0.673600[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]0.143000[/C]0.211200[/C][C]Trim. Kurtosis (25/500)[/C]-0.683400[/C]0.002800[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]0.144000[/C]0.211200[/C][C]Trim. Kurtosis (26/500)[/C]-0.692200[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]0.145800[/C]0.204000[/C][C]Trim. Kurtosis (27/500)[/C]-0.700200[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]0.147600[/C]0.200600[/C][C]Trim. Kurtosis (28/500)[/C]-0.709600[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]0.148500[/C]0.200600[/C][C]Trim. Kurtosis (29/500)[/C]-0.719200[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]0.149100[/C]0.197000[/C][C]Trim. Kurtosis (30/500)[/C]-0.730200[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.149100[/C]0.200600[/C][C]Trim. Kurtosis (31/500)[/C]-0.740300[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.148700[/C]0.200600[/C][C]Trim. Kurtosis (32/500)[/C]-0.750800[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.148500[/C]0.204000[/C][C]Trim. Kurtosis (33/500)[/C]-0.759600[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.148500[/C]0.204000[/C][C]Trim. Kurtosis (34/500)[/C]-0.767800[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.147400[/C]0.207600[/C][C]Trim. Kurtosis (35/500)[/C]-0.775800[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.145300[/C]0.215000[/C][C]Trim. Kurtosis (36/500)[/C]-0.784200[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.143100[/C]0.222400[/C][C]Trim. Kurtosis (37/500)[/C]-0.794000[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.140700[/C]0.234000[/C][C]Trim. Kurtosis (38/500)[/C]-0.802500[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.137800[/C]0.246000[/C][C]Trim. Kurtosis (39/500)[/C]-0.810600[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.135700[/C]0.254200[/C][C]Trim. Kurtosis (40/500)[/C]-0.818200[/C]0.000600[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103728&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103728&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)0.0168000.872800Trim. Kurtosis (0/500)-0.0589000.779400
Trim. Skewness (1/500)0.0046000.960200Trim. Kurtosis (1/500)-0.1693000.435400
Trim. Skewness (2/500)0.0108000.920400Trim. Kurtosis (2/500)-0.2283000.293800
Trim. Skewness (3/500)0.0146000.888600Trim. Kurtosis (3/500)-0.2777000.204000
Trim. Skewness (4/500)0.0242000.825800Trim. Kurtosis (4/500)-0.3135000.152800
Trim. Skewness (5/500)0.0298000.779400Trim. Kurtosis (5/500)-0.3433000.118800
Trim. Skewness (6/500)0.0368000.733800Trim. Kurtosis (6/500)-0.3742000.089200
Trim. Skewness (7/500)0.0432000.689200Trim. Kurtosis (7/500)-0.4029000.067200
Trim. Skewness (8/500)0.0502000.645600Trim. Kurtosis (8/500)-0.4345000.048800
Trim. Skewness (9/500)0.0599000.589200Trim. Kurtosis (9/500)-0.4571000.039400
Trim. Skewness (10/500)0.0700000.528600Trim. Kurtosis (10/500)-0.4781000.031600
Trim. Skewness (11/500)0.0808000.465400Trim. Kurtosis (11/500)-0.4993000.025000
Trim. Skewness (12/500)0.0910000.412200Trim. Kurtosis (12/500)-0.5209000.019200
Trim. Skewness (13/500)0.1004000.368200Trim. Kurtosis (13/500)-0.5403000.015600
Trim. Skewness (14/500)0.1101000.327000Trim. Kurtosis (14/500)-0.5605000.012400
Trim. Skewness (15/500)0.1188000.289200Trim. Kurtosis (15/500)-0.5800000.009600
Trim. Skewness (16/500)0.1244000.267000Trim. Kurtosis (16/500)-0.5946000.008200
Trim. Skewness (17/500)0.1305000.246000Trim. Kurtosis (17/500)-0.6092000.007000
Trim. Skewness (18/500)0.1338000.234000Trim. Kurtosis (18/500)-0.6198000.006000
Trim. Skewness (19/500)0.1364000.226200Trim. Kurtosis (19/500)-0.6284000.005400
Trim. Skewness (20/500)0.1385000.222400Trim. Kurtosis (20/500)-0.6378000.005000
Trim. Skewness (21/500)0.1398000.218600Trim. Kurtosis (21/500)-0.6469000.004400
Trim. Skewness (22/500)0.1407000.215000Trim. Kurtosis (22/500)-0.6567000.004000
Trim. Skewness (23/500)0.1420000.215000Trim. Kurtosis (23/500)-0.6652000.003600
Trim. Skewness (24/500)0.1424000.211200Trim. Kurtosis (24/500)-0.6736000.003200
Trim. Skewness (25/500)0.1430000.211200Trim. Kurtosis (25/500)-0.6834000.002800
Trim. Skewness (26/500)0.1440000.211200Trim. Kurtosis (26/500)-0.6922000.002600
Trim. Skewness (27/500)0.1458000.204000Trim. Kurtosis (27/500)-0.7002000.002400
Trim. Skewness (28/500)0.1476000.200600Trim. Kurtosis (28/500)-0.7096000.002200
Trim. Skewness (29/500)0.1485000.200600Trim. Kurtosis (29/500)-0.7192000.001800
Trim. Skewness (30/500)0.1491000.197000Trim. Kurtosis (30/500)-0.7302000.001600
Trim. Skewness (31/500)0.1491000.200600Trim. Kurtosis (31/500)-0.7403000.001400
Trim. Skewness (32/500)0.1487000.200600Trim. Kurtosis (32/500)-0.7508000.001200
Trim. Skewness (33/500)0.1485000.204000Trim. Kurtosis (33/500)-0.7596000.001200
Trim. Skewness (34/500)0.1485000.204000Trim. Kurtosis (34/500)-0.7678000.001000
Trim. Skewness (35/500)0.1474000.207600Trim. Kurtosis (35/500)-0.7758000.001000
Trim. Skewness (36/500)0.1453000.215000Trim. Kurtosis (36/500)-0.7842000.000800
Trim. Skewness (37/500)0.1431000.222400Trim. Kurtosis (37/500)-0.7940000.000800
Trim. Skewness (38/500)0.1407000.234000Trim. Kurtosis (38/500)-0.8025000.000600
Trim. Skewness (39/500)0.1378000.246000Trim. Kurtosis (39/500)-0.8106000.000600
Trim. Skewness (40/500)0.1357000.254200Trim. Kurtosis (40/500)-0.8182000.000600


Figures (Output of Computation)

Input Parameters & R Code

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