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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 18:46:08 +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/t1291142652bpdda2p83l8wd1i.htm/, Retrieved Mon, 29 Apr 2024 11:57:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103737, Retrieved Mon, 29 Apr 2024 11:57:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128

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-     [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 18:46:08] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
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134,0312414
139,5433428
133,7298869
132,0270546
136,1000985
133,3147854
136,1587922
141,1562739
134,8490836
138,4053588
134,419752
135,1671129
137,7873247
135,8021741
137,1560432
133,2128393
141,44362
139,1914706
135,9319951
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136,7229544
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133,8826654
137,287261
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133,0082915
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134,7004726
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137,4081321
133,4639205
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137,9938651
134,2308673
134,1798618
136,5648528
138,8304873
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134,5385029
135,0533494
133,5539989
132,4540667
138,1919052
134,0264101
139,5662072
132,5871488
133,2468976
136,617887
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136,7627485
133,4362198
134,5297096
136,0926292
133,6732688
135,7502117
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133,2752623
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135,1930927
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131,3463037
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138,0009623
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135,0432224
133,5583485
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135,7119027
139,553074
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135,7866709
136,9919567
136,574856
133,1223689
138,3408856
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137,0801177
134,6673078
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139,7838796
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136,3725522
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137,6794897
137,2164146
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135,4825871
131,2135517
135,3853325
137,2085611
139,1310627
140,5480765
137,6870277
136,4923958
133,2027911
134,7036385
138,9043148
133,3043158
134,5562109
134,2672197
137,0928202
137,9464268
137,2273532
134,8102875
134,9651394
134,8779557
133,9161632
137,5692081
134,5471196
135,0467489
139,2288635
131,5662142
137,1124302
137,6349374
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137,9541077
136,417741
139,5330833
135,4943835
134,1222964
137,5561698
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134,6574836
137,1453969
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135,0061739
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133,259171
133,4274711
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137,5757969
139,269817
134,4314896
138,5935001
135,1516226
138,0270078
134,9692063
135,4123793
133,9460317
134,6958602
132,6215725
135,8507011
139,733272
141,4004842
139,7660344
136,1603199
132,8592416
139,215633
135,3708622
137,1718418
132,8187606
134,937236
136,2422124
137,1167613
136,7358955
131,6282586
136,6755499
133,4699214
137,3361782
138,1588024
138,5060634
138,9879182
136,7185689
137,533104
131,4026453
138,0700549
132,4152339
134,8152745
135,3399162
136,4520012
132,4371335
137,9013567
132,1940113
133,2886272
135,2650386
137,2955083
135,2672675
135,8029495
137,3383985
139,1913451
137,4221344
138,1036946
135,8947174
135,0380755
130,9312174
135,4315647
135,3483749
140,0323255
134,5212547
133,7436759
136,7777743
137,0540602
136,9356182
135,6332274
132,7838921
133,3483955
135,8225524
137,9736934
136,9265585
135,9132377
134,6779541
134,2574849
133,8163958
134,67392
134,9701636
138,7547388
135,2242017
135,2204578
138,404145
136,8480745
133,7885814
133,5462494
134,7505006
133,9073386
136,2499522
132,4592823
135,1764324
133,3486352
133,4720095
136,2390637
135,1542643
139,224223
137,6286735
139,5568429
138,4877882
134,0286119
136,6365175
136,6433623
136,6290176
139,0633018
132,4589242
136,7839576
138,4475216
142,3238995
137,2428451
134,3487597
139,0510958
137,6066319
133,660923
137,3415623
135,19658
137,0456073
136,4985324
135,8080161
139,4796464
135,4098728
137,0720657
138,7091336
138,0017794
136,8023025
134,0473473
134,9754515
137,565778
130,9461277
135,1713067
133,6746418
135,0915494
135,9239976
138,3025018
134,615799
136,2902161
135,8724378
133,9539307
135,2389295
136,991115
137,5169833
135,6249817
131,8597581
135,3356529
132,1212007

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.1.364211FISHER 4th Cent. Mom.55.317152
FISHER beta 10.022582FISHER beta 22.920924
FISHER gamma 10.150272FISHER gamma 2-0.079076
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 11.371786FISHER Test 2-0.360933
FISHER Test 1 Probability0.167600FISHER Test 2 Probability0.711400
Pearson 20.167744
Yule using Quartile definition:Weighted Average at Xnp0.046979
Yule using Quartile definition:Weighted Average at X(n+1)p0.052997
Yule using Quartile definition:Empirical Distribution Function0.046979
Yule using Quartile definition:Empirical Distribution Function - Averaging0.052239
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.051478
Yule using Quartile definition:Closest Observation0.046979
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.051478
Yule using Quartile definition:MS Excel (old versions)0.053750
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.150724Kurtosis (small sample)-0.067776
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)1.380033TEST 1 (small sample)-0.310892
TEST 1 Prob. (small sample)0.164600TEST 1 Prob. (small sample)0.749000
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.1.364211 & FISHER 4th Cent. Mom.55.317152 \tabularnewline FISHER beta 10.022582 & FISHER beta 22.920924 \tabularnewline FISHER gamma 10.150272 & FISHER gamma 2-0.079076 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 11.371786 & FISHER Test 2-0.360933 \tabularnewline FISHER Test 1 Probability0.167600 & FISHER Test 2 Probability0.711400 \tabularnewline Pearson 20.167744 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.046979 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.052997 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.046979 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.052239 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.051478 & & \tabularnewline Yule using Quartile definition:Closest Observation0.046979 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.051478 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.053750 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.150724 & Kurtosis (small sample)-0.067776 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)1.380033 & TEST 1 (small sample)-0.310892 \tabularnewline TEST 1 Prob. (small sample)0.164600 & TEST 1 Prob. (small sample)0.749000 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103737&T=0

[TABLE]

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

[ROW][C]Skewness Measure[/C]
Value[/C]Kurtosis Measure[/C]Value[/C][/ROW] [ROW][C]FISHER 3rd Cent. Mom.[/C]1.364211[/C][C]FISHER 4th Cent. Mom.[/C]55.317152[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.022582[/C][C]FISHER beta 2[/C]2.920924[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.150272[/C][C]FISHER gamma 2[/C]-0.079076[/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]1.371786[/C][C]FISHER Test 2[/C]-0.360933[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.167600[/C][C]FISHER Test 2 Probability[/C]0.711400[/C][/ROW] [ROW][C]Pearson 2[/C]0.167744[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.046979[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.052997[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.046979[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.052239[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.051478[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.046979[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.051478[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.053750[/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]0.150724[/C][C]Kurtosis (small sample)[/C]-0.067776[/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]1.380033[/C][C]TEST 1 (small sample)[/C]-0.310892[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.164600[/C][C]TEST 1 Prob. (small sample)[/C]0.749000[/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=103737&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103737&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.1.364211FISHER 4th Cent. Mom.55.317152
FISHER beta 10.022582FISHER beta 22.920924
FISHER gamma 10.150272FISHER gamma 2-0.079076
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 11.371786FISHER Test 2-0.360933
FISHER Test 1 Probability0.167600FISHER Test 2 Probability0.711400
Pearson 20.167744
Yule using Quartile definition:Weighted Average at Xnp0.046979
Yule using Quartile definition:Weighted Average at X(n+1)p0.052997
Yule using Quartile definition:Empirical Distribution Function0.046979
Yule using Quartile definition:Empirical Distribution Function - Averaging0.052239
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.051478
Yule using Quartile definition:Closest Observation0.046979
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.051478
Yule using Quartile definition:MS Excel (old versions)0.053750
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.150724Kurtosis (small sample)-0.067776
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)1.380033TEST 1 (small sample)-0.310892
TEST 1 Prob. (small sample)0.164600TEST 1 Prob. (small sample)0.749000
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.1507000.164600Trim. Kurtosis (0/500)-0.0678000.749000
Trim. Skewness (1/500)0.1345000.218600Trim. Kurtosis (1/500)-0.1608000.459200
Trim. Skewness (2/500)0.1164000.284600Trim. Kurtosis (2/500)-0.2455000.258400
Trim. Skewness (3/500)0.1051000.337000Trim. Kurtosis (3/500)-0.3148000.149800
Trim. Skewness (4/500)0.0986000.368200Trim. Kurtosis (4/500)-0.3730000.089200
Trim. Skewness (5/500)0.0890000.418000Trim. Kurtosis (5/500)-0.4311000.050000
Trim. Skewness (6/500)0.0830000.447200Trim. Kurtosis (6/500)-0.4830000.028600
Trim. Skewness (7/500)0.0746000.496400Trim. Kurtosis (7/500)-0.5379000.014600
Trim. Skewness (8/500)0.0691000.528600Trim. Kurtosis (8/500)-0.5858000.008000
Trim. Skewness (9/500)0.0692000.528600Trim. Kurtosis (9/500)-0.6224000.005000
Trim. Skewness (10/500)0.0706000.522200Trim. Kurtosis (10/500)-0.6528000.003200
Trim. Skewness (11/500)0.0732000.509200Trim. Kurtosis (11/500)-0.6831000.002200
Trim. Skewness (12/500)0.0769000.490200Trim. Kurtosis (12/500)-0.7108000.001400
Trim. Skewness (13/500)0.0785000.484000Trim. Kurtosis (13/500)-0.7318000.001000
Trim. Skewness (14/500)0.0810000.465400Trim. Kurtosis (14/500)-0.7440000.001000
Trim. Skewness (15/500)0.0832000.459200Trim. Kurtosis (15/500)-0.7565000.000800
Trim. Skewness (16/500)0.0853000.447200Trim. Kurtosis (16/500)-0.7691000.000600
Trim. Skewness (17/500)0.0876000.435400Trim. Kurtosis (17/500)-0.7796000.000600
Trim. Skewness (18/500)0.0898000.423800Trim. Kurtosis (18/500)-0.7879000.000400
Trim. Skewness (19/500)0.0908000.423800Trim. Kurtosis (19/500)-0.7949000.000400
Trim. Skewness (20/500)0.0915000.418000Trim. Kurtosis (20/500)-0.8029000.000400
Trim. Skewness (21/500)0.0921000.418000Trim. Kurtosis (21/500)-0.8116000.000400
Trim. Skewness (22/500)0.0925000.418000Trim. Kurtosis (22/500)-0.8212000.000400
Trim. Skewness (23/500)0.0937000.412200Trim. Kurtosis (23/500)-0.8310000.000200
Trim. Skewness (24/500)0.0956000.400800Trim. Kurtosis (24/500)-0.8409000.000200
Trim. Skewness (25/500)0.0975000.395400Trim. Kurtosis (25/500)-0.8470000.000200
Trim. Skewness (26/500)0.0997000.384400Trim. Kurtosis (26/500)-0.8534000.000200
Trim. Skewness (27/500)0.1019000.373400Trim. Kurtosis (27/500)-0.8611000.000200
Trim. Skewness (28/500)0.1038000.368200Trim. Kurtosis (28/500)-0.8693000.000200
Trim. Skewness (29/500)0.1051000.362800Trim. Kurtosis (29/500)-0.8770000.000200
Trim. Skewness (30/500)0.1064000.357600Trim. Kurtosis (30/500)-0.8848000.000200
Trim. Skewness (31/500)0.1068000.357600Trim. Kurtosis (31/500)-0.8924000.000200
Trim. Skewness (32/500)0.1070000.357600Trim. Kurtosis (32/500)-0.9007000.000200
Trim. Skewness (33/500)0.1070000.357600Trim. Kurtosis (33/500)-0.9101000.000000
Trim. Skewness (34/500)0.1068000.362800Trim. Kurtosis (34/500)-0.9196000.000000
Trim. Skewness (35/500)0.1055000.368200Trim. Kurtosis (35/500)-0.9293000.000000
Trim. Skewness (36/500)0.1035000.378800Trim. Kurtosis (36/500)-0.9378000.000000
Trim. Skewness (37/500)0.1008000.389800Trim. Kurtosis (37/500)-0.9455000.000000
Trim. Skewness (38/500)0.0976000.406600Trim. Kurtosis (38/500)-0.9535000.000000
Trim. Skewness (39/500)0.0941000.423800Trim. Kurtosis (39/500)-0.9598000.000000
Trim. Skewness (40/500)0.0904000.447200Trim. Kurtosis (40/500)-0.9668000.000000

\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)0.1507000.164600 & Trim. Kurtosis (0/500)-0.0678000.749000 \tabularnewline Trim. Skewness (1/500)0.1345000.218600 & Trim. Kurtosis (1/500)-0.1608000.459200 \tabularnewline Trim. Skewness (2/500)0.1164000.284600 & Trim. Kurtosis (2/500)-0.2455000.258400 \tabularnewline Trim. Skewness (3/500)0.1051000.337000 & Trim. Kurtosis (3/500)-0.3148000.149800 \tabularnewline Trim. Skewness (4/500)0.0986000.368200 & Trim. Kurtosis (4/500)-0.3730000.089200 \tabularnewline Trim. Skewness (5/500)0.0890000.418000 & Trim. Kurtosis (5/500)-0.4311000.050000 \tabularnewline Trim. Skewness (6/500)0.0830000.447200 & Trim. Kurtosis (6/500)-0.4830000.028600 \tabularnewline Trim. Skewness (7/500)0.0746000.496400 & Trim. Kurtosis (7/500)-0.5379000.014600 \tabularnewline Trim. Skewness (8/500)0.0691000.528600 & Trim. Kurtosis (8/500)-0.5858000.008000 \tabularnewline Trim. Skewness (9/500)0.0692000.528600 & Trim. Kurtosis (9/500)-0.6224000.005000 \tabularnewline Trim. Skewness (10/500)0.0706000.522200 & Trim. Kurtosis (10/500)-0.6528000.003200 \tabularnewline Trim. Skewness (11/500)0.0732000.509200 & Trim. Kurtosis (11/500)-0.6831000.002200 \tabularnewline Trim. Skewness (12/500)0.0769000.490200 & Trim. Kurtosis (12/500)-0.7108000.001400 \tabularnewline Trim. Skewness (13/500)0.0785000.484000 & Trim. Kurtosis (13/500)-0.7318000.001000 \tabularnewline Trim. Skewness (14/500)0.0810000.465400 & Trim. Kurtosis (14/500)-0.7440000.001000 \tabularnewline Trim. Skewness (15/500)0.0832000.459200 & Trim. Kurtosis (15/500)-0.7565000.000800 \tabularnewline Trim. Skewness (16/500)0.0853000.447200 & Trim. Kurtosis (16/500)-0.7691000.000600 \tabularnewline Trim. Skewness (17/500)0.0876000.435400 & Trim. Kurtosis (17/500)-0.7796000.000600 \tabularnewline Trim. Skewness (18/500)0.0898000.423800 & Trim. Kurtosis (18/500)-0.7879000.000400 \tabularnewline Trim. Skewness (19/500)0.0908000.423800 & Trim. Kurtosis (19/500)-0.7949000.000400 \tabularnewline Trim. Skewness (20/500)0.0915000.418000 & Trim. Kurtosis (20/500)-0.8029000.000400 \tabularnewline Trim. Skewness (21/500)0.0921000.418000 & Trim. Kurtosis (21/500)-0.8116000.000400 \tabularnewline Trim. Skewness (22/500)0.0925000.418000 & Trim. Kurtosis (22/500)-0.8212000.000400 \tabularnewline Trim. Skewness (23/500)0.0937000.412200 & Trim. Kurtosis (23/500)-0.8310000.000200 \tabularnewline Trim. Skewness (24/500)0.0956000.400800 & Trim. Kurtosis (24/500)-0.8409000.000200 \tabularnewline Trim. Skewness (25/500)0.0975000.395400 & Trim. Kurtosis (25/500)-0.8470000.000200 \tabularnewline Trim. Skewness (26/500)0.0997000.384400 & Trim. Kurtosis (26/500)-0.8534000.000200 \tabularnewline Trim. Skewness (27/500)0.1019000.373400 & Trim. Kurtosis (27/500)-0.8611000.000200 \tabularnewline Trim. Skewness (28/500)0.1038000.368200 & Trim. Kurtosis (28/500)-0.8693000.000200 \tabularnewline Trim. Skewness (29/500)0.1051000.362800 & Trim. Kurtosis (29/500)-0.8770000.000200 \tabularnewline Trim. Skewness (30/500)0.1064000.357600 & Trim. Kurtosis (30/500)-0.8848000.000200 \tabularnewline Trim. Skewness (31/500)0.1068000.357600 & Trim. Kurtosis (31/500)-0.8924000.000200 \tabularnewline Trim. Skewness (32/500)0.1070000.357600 & Trim. Kurtosis (32/500)-0.9007000.000200 \tabularnewline Trim. Skewness (33/500)0.1070000.357600 & Trim. Kurtosis (33/500)-0.9101000.000000 \tabularnewline Trim. Skewness (34/500)0.1068000.362800 & Trim. Kurtosis (34/500)-0.9196000.000000 \tabularnewline Trim. Skewness (35/500)0.1055000.368200 & Trim. Kurtosis (35/500)-0.9293000.000000 \tabularnewline Trim. Skewness (36/500)0.1035000.378800 & Trim. Kurtosis (36/500)-0.9378000.000000 \tabularnewline Trim. Skewness (37/500)0.1008000.389800 & Trim. Kurtosis (37/500)-0.9455000.000000 \tabularnewline Trim. Skewness (38/500)0.0976000.406600 & Trim. Kurtosis (38/500)-0.9535000.000000 \tabularnewline Trim. Skewness (39/500)0.0941000.423800 & Trim. Kurtosis (39/500)-0.9598000.000000 \tabularnewline Trim. Skewness (40/500)0.0904000.447200 & Trim. Kurtosis (40/500)-0.9668000.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103737&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]0.150700[/C]0.164600[/C][C]Trim. Kurtosis (0/500)[/C]-0.067800[/C]0.749000[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.134500[/C]0.218600[/C][C]Trim. Kurtosis (1/500)[/C]-0.160800[/C]0.459200[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.116400[/C]0.284600[/C][C]Trim. Kurtosis (2/500)[/C]-0.245500[/C]0.258400[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.105100[/C]0.337000[/C][C]Trim. Kurtosis (3/500)[/C]-0.314800[/C]0.149800[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.098600[/C]0.368200[/C][C]Trim. Kurtosis (4/500)[/C]-0.373000[/C]0.089200[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.089000[/C]0.418000[/C][C]Trim. Kurtosis (5/500)[/C]-0.431100[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.083000[/C]0.447200[/C][C]Trim. Kurtosis (6/500)[/C]-0.483000[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.074600[/C]0.496400[/C][C]Trim. Kurtosis (7/500)[/C]-0.537900[/C]0.014600[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.069100[/C]0.528600[/C][C]Trim. Kurtosis (8/500)[/C]-0.585800[/C]0.008000[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.069200[/C]0.528600[/C][C]Trim. Kurtosis (9/500)[/C]-0.622400[/C]0.005000[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.070600[/C]0.522200[/C][C]Trim. Kurtosis (10/500)[/C]-0.652800[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.073200[/C]0.509200[/C][C]Trim. Kurtosis (11/500)[/C]-0.683100[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.076900[/C]0.490200[/C][C]Trim. Kurtosis (12/500)[/C]-0.710800[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.078500[/C]0.484000[/C][C]Trim. Kurtosis (13/500)[/C]-0.731800[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.081000[/C]0.465400[/C][C]Trim. Kurtosis (14/500)[/C]-0.744000[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.083200[/C]0.459200[/C][C]Trim. Kurtosis (15/500)[/C]-0.756500[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.085300[/C]0.447200[/C][C]Trim. Kurtosis (16/500)[/C]-0.769100[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.087600[/C]0.435400[/C][C]Trim. Kurtosis (17/500)[/C]-0.779600[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.089800[/C]0.423800[/C][C]Trim. Kurtosis (18/500)[/C]-0.787900[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]0.090800[/C]0.423800[/C][C]Trim. Kurtosis (19/500)[/C]-0.794900[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]0.091500[/C]0.418000[/C][C]Trim. Kurtosis (20/500)[/C]-0.802900[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]0.092100[/C]0.418000[/C][C]Trim. Kurtosis (21/500)[/C]-0.811600[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]0.092500[/C]0.418000[/C][C]Trim. Kurtosis (22/500)[/C]-0.821200[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]0.093700[/C]0.412200[/C][C]Trim. Kurtosis (23/500)[/C]-0.831000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]0.095600[/C]0.400800[/C][C]Trim. Kurtosis (24/500)[/C]-0.840900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]0.097500[/C]0.395400[/C][C]Trim. Kurtosis (25/500)[/C]-0.847000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]0.099700[/C]0.384400[/C][C]Trim. Kurtosis (26/500)[/C]-0.853400[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]0.101900[/C]0.373400[/C][C]Trim. Kurtosis (27/500)[/C]-0.861100[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]0.103800[/C]0.368200[/C][C]Trim. Kurtosis (28/500)[/C]-0.869300[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]0.105100[/C]0.362800[/C][C]Trim. Kurtosis (29/500)[/C]-0.877000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]0.106400[/C]0.357600[/C][C]Trim. Kurtosis (30/500)[/C]-0.884800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.106800[/C]0.357600[/C][C]Trim. Kurtosis (31/500)[/C]-0.892400[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.107000[/C]0.357600[/C][C]Trim. Kurtosis (32/500)[/C]-0.900700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.107000[/C]0.357600[/C][C]Trim. Kurtosis (33/500)[/C]-0.910100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.106800[/C]0.362800[/C][C]Trim. Kurtosis (34/500)[/C]-0.919600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.105500[/C]0.368200[/C][C]Trim. Kurtosis (35/500)[/C]-0.929300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.103500[/C]0.378800[/C][C]Trim. Kurtosis (36/500)[/C]-0.937800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.100800[/C]0.389800[/C][C]Trim. Kurtosis (37/500)[/C]-0.945500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.097600[/C]0.406600[/C][C]Trim. Kurtosis (38/500)[/C]-0.953500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.094100[/C]0.423800[/C][C]Trim. Kurtosis (39/500)[/C]-0.959800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.090400[/C]0.447200[/C][C]Trim. Kurtosis (40/500)[/C]-0.966800[/C]0.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103737&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103737&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)0.1507000.164600Trim. Kurtosis (0/500)-0.0678000.749000
Trim. Skewness (1/500)0.1345000.218600Trim. Kurtosis (1/500)-0.1608000.459200
Trim. Skewness (2/500)0.1164000.284600Trim. Kurtosis (2/500)-0.2455000.258400
Trim. Skewness (3/500)0.1051000.337000Trim. Kurtosis (3/500)-0.3148000.149800
Trim. Skewness (4/500)0.0986000.368200Trim. Kurtosis (4/500)-0.3730000.089200
Trim. Skewness (5/500)0.0890000.418000Trim. Kurtosis (5/500)-0.4311000.050000
Trim. Skewness (6/500)0.0830000.447200Trim. Kurtosis (6/500)-0.4830000.028600
Trim. Skewness (7/500)0.0746000.496400Trim. Kurtosis (7/500)-0.5379000.014600
Trim. Skewness (8/500)0.0691000.528600Trim. Kurtosis (8/500)-0.5858000.008000
Trim. Skewness (9/500)0.0692000.528600Trim. Kurtosis (9/500)-0.6224000.005000
Trim. Skewness (10/500)0.0706000.522200Trim. Kurtosis (10/500)-0.6528000.003200
Trim. Skewness (11/500)0.0732000.509200Trim. Kurtosis (11/500)-0.6831000.002200
Trim. Skewness (12/500)0.0769000.490200Trim. Kurtosis (12/500)-0.7108000.001400
Trim. Skewness (13/500)0.0785000.484000Trim. Kurtosis (13/500)-0.7318000.001000
Trim. Skewness (14/500)0.0810000.465400Trim. Kurtosis (14/500)-0.7440000.001000
Trim. Skewness (15/500)0.0832000.459200Trim. Kurtosis (15/500)-0.7565000.000800
Trim. Skewness (16/500)0.0853000.447200Trim. Kurtosis (16/500)-0.7691000.000600
Trim. Skewness (17/500)0.0876000.435400Trim. Kurtosis (17/500)-0.7796000.000600
Trim. Skewness (18/500)0.0898000.423800Trim. Kurtosis (18/500)-0.7879000.000400
Trim. Skewness (19/500)0.0908000.423800Trim. Kurtosis (19/500)-0.7949000.000400
Trim. Skewness (20/500)0.0915000.418000Trim. Kurtosis (20/500)-0.8029000.000400
Trim. Skewness (21/500)0.0921000.418000Trim. Kurtosis (21/500)-0.8116000.000400
Trim. Skewness (22/500)0.0925000.418000Trim. Kurtosis (22/500)-0.8212000.000400
Trim. Skewness (23/500)0.0937000.412200Trim. Kurtosis (23/500)-0.8310000.000200
Trim. Skewness (24/500)0.0956000.400800Trim. Kurtosis (24/500)-0.8409000.000200
Trim. Skewness (25/500)0.0975000.395400Trim. Kurtosis (25/500)-0.8470000.000200
Trim. Skewness (26/500)0.0997000.384400Trim. Kurtosis (26/500)-0.8534000.000200
Trim. Skewness (27/500)0.1019000.373400Trim. Kurtosis (27/500)-0.8611000.000200
Trim. Skewness (28/500)0.1038000.368200Trim. Kurtosis (28/500)-0.8693000.000200
Trim. Skewness (29/500)0.1051000.362800Trim. Kurtosis (29/500)-0.8770000.000200
Trim. Skewness (30/500)0.1064000.357600Trim. Kurtosis (30/500)-0.8848000.000200
Trim. Skewness (31/500)0.1068000.357600Trim. Kurtosis (31/500)-0.8924000.000200
Trim. Skewness (32/500)0.1070000.357600Trim. Kurtosis (32/500)-0.9007000.000200
Trim. Skewness (33/500)0.1070000.357600Trim. Kurtosis (33/500)-0.9101000.000000
Trim. Skewness (34/500)0.1068000.362800Trim. Kurtosis (34/500)-0.9196000.000000
Trim. Skewness (35/500)0.1055000.368200Trim. Kurtosis (35/500)-0.9293000.000000
Trim. Skewness (36/500)0.1035000.378800Trim. Kurtosis (36/500)-0.9378000.000000
Trim. Skewness (37/500)0.1008000.389800Trim. Kurtosis (37/500)-0.9455000.000000
Trim. Skewness (38/500)0.0976000.406600Trim. Kurtosis (38/500)-0.9535000.000000
Trim. Skewness (39/500)0.0941000.423800Trim. Kurtosis (39/500)-0.9598000.000000
Trim. Skewness (40/500)0.0904000.447200Trim. Kurtosis (40/500)-0.9668000.000000


Figures (Output of Computation)

Input Parameters & R Code

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