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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 18:48:13 +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/t1291142785c1spmcav63sce1r.htm/, Retrieved Mon, 29 Apr 2024 11:38:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103740, Retrieved Mon, 29 Apr 2024 11:38:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact149

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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 18:48:13] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
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177,1851485
176,7050239
175,6914202
172,9519779
177,8032234
169,5134772
173,1685606
174,6282737
178,4650655
174,6387413
175,3514534
176,9651995
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175,9550513
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174,264334
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172,156403
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177,3352427
174,0226179
171,1949386
174,8962441
172,911389
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174,4545737
175,0302093
175,3213314
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177,0151611
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170,2270948
178,7622305
172,4034315
177,9868129
175,4109706
175,8319128
174,9855595
174,8184224
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176,4441269
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174,006102
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169,8590791
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175,2225506
175,0245297
175,7351697
171,0793144
175,2763542
177,1011694
174,5985184
174,999251
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174,3430704
175,3447354
175,286745
175,1889946
174,0855968
171,8112892
178,8987139
177,479667
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177,3310849
173,6495652
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180,0489891
176,1532446
172,5944332
173,5267306
179,6368188
175,0462773
175,2557822
173,0474696
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171,7823641
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178,4173864
171,660515
172,0822842
176,0902216
171,2753491
175,9330222
177,7763923
172,8213966
171,2298667
177,3414755
177,542868
174,7316932
173,1037253
175,1285612
174,9239003
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174,8980707
173,5030448
171,9916172
174,9672409
173,0438015
179,8736839
171,415887
173,7330103
175,0719065
178,3228695
176,4084236
176,369261
174,8895749
174,471429
176,3236849
177,9949062
178,6702839
174,2821353
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173,1983393
176,9225246
174,6142771
171,9013528
175,0766086
176,907876
176,2052036
171,3538513
177,8738142
172,6679682
175,4389301
171,3856901
175,3879977
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174,7172393
175,7851581
175,6864032
176,0384614
175,304105
175,4757057
172,2224273
172,518511
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176,3098673
172,1478426
174,6450856
176,7565007
177,7495216
173,6783769
179,5425761
172,727378
173,8258544
172,2913006
175,7557982
174,4491475
175,8003412
177,1370286
174,9346025
174,1173023
170,6034145
178,8197935
176,0716756
176,6920081
174,6339399
174,3399164
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172,5668027

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.037068FISHER 4th Cent. Mom.46.488247
FISHER beta 10.018790FISHER beta 23.130048
FISHER gamma 1-0.137077FISHER gamma 20.130048
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-1.251332FISHER Test 20.593587
FISHER Test 1 Probability0.207600FISHER Test 2 Probability0.548400
Pearson 2-0.089113
Yule using Quartile definition:Weighted Average at Xnp-0.083275
Yule using Quartile definition:Weighted Average at X(n+1)p-0.068332
Yule using Quartile definition:Empirical Distribution Function-0.083275
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.063098
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.057751
Yule using Quartile definition:Closest Observation-0.083275
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.057751
Yule using Quartile definition:MS Excel (old versions)-0.073458
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.137489Kurtosis (small sample)0.143455
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-1.258855TEST 1 (small sample)0.658032
TEST 1 Prob. (small sample)0.207600TEST 1 Prob. (small sample)0.509200
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-1.037068 & FISHER 4th Cent. Mom.46.488247 \tabularnewline FISHER beta 10.018790 & FISHER beta 23.130048 \tabularnewline FISHER gamma 1-0.137077 & FISHER gamma 20.130048 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-1.251332 & FISHER Test 20.593587 \tabularnewline FISHER Test 1 Probability0.207600 & FISHER Test 2 Probability0.548400 \tabularnewline Pearson 2-0.089113 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.083275 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.068332 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.083275 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.063098 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.057751 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.083275 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.057751 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.073458 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.137489 & Kurtosis (small sample)0.143455 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-1.258855 & TEST 1 (small sample)0.658032 \tabularnewline TEST 1 Prob. (small sample)0.207600 & TEST 1 Prob. (small sample)0.509200 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103740&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]-1.037068[/C][C]FISHER 4th Cent. Mom.[/C]46.488247[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.018790[/C][C]FISHER beta 2[/C]3.130048[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.137077[/C][C]FISHER gamma 2[/C]0.130048[/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]-1.251332[/C][C]FISHER Test 2[/C]0.593587[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.207600[/C][C]FISHER Test 2 Probability[/C]0.548400[/C][/ROW] [ROW][C]Pearson 2[/C]-0.089113[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.083275[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.068332[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.083275[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.063098[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.057751[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.083275[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.057751[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.073458[/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]-0.137489[/C][C]Kurtosis (small sample)[/C]0.143455[/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]-1.258855[/C][C]TEST 1 (small sample)[/C]0.658032[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.207600[/C][C]TEST 1 Prob. (small sample)[/C]0.509200[/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=103740&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103740&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.-1.037068FISHER 4th Cent. Mom.46.488247
FISHER beta 10.018790FISHER beta 23.130048
FISHER gamma 1-0.137077FISHER gamma 20.130048
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-1.251332FISHER Test 20.593587
FISHER Test 1 Probability0.207600FISHER Test 2 Probability0.548400
Pearson 2-0.089113
Yule using Quartile definition:Weighted Average at Xnp-0.083275
Yule using Quartile definition:Weighted Average at X(n+1)p-0.068332
Yule using Quartile definition:Empirical Distribution Function-0.083275
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.063098
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.057751
Yule using Quartile definition:Closest Observation-0.083275
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.057751
Yule using Quartile definition:MS Excel (old versions)-0.073458
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.137489Kurtosis (small sample)0.143455
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-1.258855TEST 1 (small sample)0.658032
TEST 1 Prob. (small sample)0.207600TEST 1 Prob. (small sample)0.509200
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.1375000.207600Trim. Kurtosis (0/500)0.1435000.509200
Trim. Skewness (1/500)-0.1653000.128600Trim. Kurtosis (1/500)-0.0587000.787200
Trim. Skewness (2/500)-0.1601000.144200Trim. Kurtosis (2/500)-0.1289000.555200
Trim. Skewness (3/500)-0.1533000.161600Trim. Kurtosis (3/500)-0.1959000.368200
Trim. Skewness (4/500)-0.1439000.190200Trim. Kurtosis (4/500)-0.2568000.242000
Trim. Skewness (5/500)-0.1346000.222400Trim. Kurtosis (5/500)-0.3163000.149800
Trim. Skewness (6/500)-0.1201000.275800Trim. Kurtosis (6/500)-0.3700000.093000
Trim. Skewness (7/500)-0.1104000.317400Trim. Kurtosis (7/500)-0.4110000.062800
Trim. Skewness (8/500)-0.1059000.337000Trim. Kurtosis (8/500)-0.4355000.048800
Trim. Skewness (9/500)-0.1035000.347200Trim. Kurtosis (9/500)-0.4566000.039400
Trim. Skewness (10/500)-0.1035000.352400Trim. Kurtosis (10/500)-0.4742000.032400
Trim. Skewness (11/500)-0.1022000.357600Trim. Kurtosis (11/500)-0.4914000.027200
Trim. Skewness (12/500)-0.1024000.357600Trim. Kurtosis (12/500)-0.5066000.023200
Trim. Skewness (13/500)-0.1043000.352400Trim. Kurtosis (13/500)-0.5205000.019800
Trim. Skewness (14/500)-0.1054000.347200Trim. Kurtosis (14/500)-0.5336000.017400
Trim. Skewness (15/500)-0.1069000.342200Trim. Kurtosis (15/500)-0.5470000.014600
Trim. Skewness (16/500)-0.1089000.332000Trim. Kurtosis (16/500)-0.5602000.012800
Trim. Skewness (17/500)-0.1103000.327000Trim. Kurtosis (17/500)-0.5738000.010800
Trim. Skewness (18/500)-0.1115000.322200Trim. Kurtosis (18/500)-0.5882000.009000
Trim. Skewness (19/500)-0.1123000.322200Trim. Kurtosis (19/500)-0.6037000.007600
Trim. Skewness (20/500)-0.1114000.327000Trim. Kurtosis (20/500)-0.6170000.006600
Trim. Skewness (21/500)-0.1105000.332000Trim. Kurtosis (21/500)-0.6309000.005400
Trim. Skewness (22/500)-0.1102000.332000Trim. Kurtosis (22/500)-0.6453000.004600
Trim. Skewness (23/500)-0.1100000.337000Trim. Kurtosis (23/500)-0.6590000.003800
Trim. Skewness (24/500)-0.1107000.332000Trim. Kurtosis (24/500)-0.6714000.003400
Trim. Skewness (25/500)-0.1117000.327000Trim. Kurtosis (25/500)-0.6850000.002800
Trim. Skewness (26/500)-0.1123000.327000Trim. Kurtosis (26/500)-0.6978000.002400
Trim. Skewness (27/500)-0.1123000.327000Trim. Kurtosis (27/500)-0.7083000.002000
Trim. Skewness (28/500)-0.1115000.332000Trim. Kurtosis (28/500)-0.7181000.001800
Trim. Skewness (29/500)-0.1109000.337000Trim. Kurtosis (29/500)-0.7285000.001600
Trim. Skewness (30/500)-0.1100000.342200Trim. Kurtosis (30/500)-0.7398000.001400
Trim. Skewness (31/500)-0.1076000.352400Trim. Kurtosis (31/500)-0.7505000.001200
Trim. Skewness (32/500)-0.1058000.362800Trim. Kurtosis (32/500)-0.7599000.001200
Trim. Skewness (33/500)-0.1053000.368200Trim. Kurtosis (33/500)-0.7677000.001000
Trim. Skewness (34/500)-0.1046000.368200Trim. Kurtosis (34/500)-0.7768000.001000
Trim. Skewness (35/500)-0.1032000.378800Trim. Kurtosis (35/500)-0.7833000.000800
Trim. Skewness (36/500)-0.1018000.384400Trim. Kurtosis (36/500)-0.7898000.000800
Trim. Skewness (37/500)-0.0998000.395400Trim. Kurtosis (37/500)-0.7961000.000800
Trim. Skewness (38/500)-0.0977000.406600Trim. Kurtosis (38/500)-0.8034000.000600
Trim. Skewness (39/500)-0.0961000.418000Trim. Kurtosis (39/500)-0.8109000.000600
Trim. Skewness (40/500)-0.0945000.423800Trim. Kurtosis (40/500)-0.8197000.000600

\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)-0.1375000.207600 & Trim. Kurtosis (0/500)0.1435000.509200 \tabularnewline Trim. Skewness (1/500)-0.1653000.128600 & Trim. Kurtosis (1/500)-0.0587000.787200 \tabularnewline Trim. Skewness (2/500)-0.1601000.144200 & Trim. Kurtosis (2/500)-0.1289000.555200 \tabularnewline Trim. Skewness (3/500)-0.1533000.161600 & Trim. Kurtosis (3/500)-0.1959000.368200 \tabularnewline Trim. Skewness (4/500)-0.1439000.190200 & Trim. Kurtosis (4/500)-0.2568000.242000 \tabularnewline Trim. Skewness (5/500)-0.1346000.222400 & Trim. Kurtosis (5/500)-0.3163000.149800 \tabularnewline Trim. Skewness (6/500)-0.1201000.275800 & Trim. Kurtosis (6/500)-0.3700000.093000 \tabularnewline Trim. Skewness (7/500)-0.1104000.317400 & Trim. Kurtosis (7/500)-0.4110000.062800 \tabularnewline Trim. Skewness (8/500)-0.1059000.337000 & Trim. Kurtosis (8/500)-0.4355000.048800 \tabularnewline Trim. Skewness (9/500)-0.1035000.347200 & Trim. Kurtosis (9/500)-0.4566000.039400 \tabularnewline Trim. Skewness (10/500)-0.1035000.352400 & Trim. Kurtosis (10/500)-0.4742000.032400 \tabularnewline Trim. Skewness (11/500)-0.1022000.357600 & Trim. Kurtosis (11/500)-0.4914000.027200 \tabularnewline Trim. Skewness (12/500)-0.1024000.357600 & Trim. Kurtosis (12/500)-0.5066000.023200 \tabularnewline Trim. Skewness (13/500)-0.1043000.352400 & Trim. Kurtosis (13/500)-0.5205000.019800 \tabularnewline Trim. Skewness (14/500)-0.1054000.347200 & Trim. Kurtosis (14/500)-0.5336000.017400 \tabularnewline Trim. Skewness (15/500)-0.1069000.342200 & Trim. Kurtosis (15/500)-0.5470000.014600 \tabularnewline Trim. Skewness (16/500)-0.1089000.332000 & Trim. Kurtosis (16/500)-0.5602000.012800 \tabularnewline Trim. Skewness (17/500)-0.1103000.327000 & Trim. Kurtosis (17/500)-0.5738000.010800 \tabularnewline Trim. Skewness (18/500)-0.1115000.322200 & Trim. Kurtosis (18/500)-0.5882000.009000 \tabularnewline Trim. Skewness (19/500)-0.1123000.322200 & Trim. Kurtosis (19/500)-0.6037000.007600 \tabularnewline Trim. Skewness (20/500)-0.1114000.327000 & Trim. Kurtosis (20/500)-0.6170000.006600 \tabularnewline Trim. Skewness (21/500)-0.1105000.332000 & Trim. Kurtosis (21/500)-0.6309000.005400 \tabularnewline Trim. Skewness (22/500)-0.1102000.332000 & Trim. Kurtosis (22/500)-0.6453000.004600 \tabularnewline Trim. Skewness (23/500)-0.1100000.337000 & Trim. Kurtosis (23/500)-0.6590000.003800 \tabularnewline Trim. Skewness (24/500)-0.1107000.332000 & Trim. Kurtosis (24/500)-0.6714000.003400 \tabularnewline Trim. Skewness (25/500)-0.1117000.327000 & Trim. Kurtosis (25/500)-0.6850000.002800 \tabularnewline Trim. Skewness (26/500)-0.1123000.327000 & Trim. Kurtosis (26/500)-0.6978000.002400 \tabularnewline Trim. Skewness (27/500)-0.1123000.327000 & Trim. Kurtosis (27/500)-0.7083000.002000 \tabularnewline Trim. Skewness (28/500)-0.1115000.332000 & Trim. Kurtosis (28/500)-0.7181000.001800 \tabularnewline Trim. Skewness (29/500)-0.1109000.337000 & Trim. Kurtosis (29/500)-0.7285000.001600 \tabularnewline Trim. Skewness (30/500)-0.1100000.342200 & Trim. Kurtosis (30/500)-0.7398000.001400 \tabularnewline Trim. Skewness (31/500)-0.1076000.352400 & Trim. Kurtosis (31/500)-0.7505000.001200 \tabularnewline Trim. Skewness (32/500)-0.1058000.362800 & Trim. Kurtosis (32/500)-0.7599000.001200 \tabularnewline Trim. Skewness (33/500)-0.1053000.368200 & Trim. Kurtosis (33/500)-0.7677000.001000 \tabularnewline Trim. Skewness (34/500)-0.1046000.368200 & Trim. Kurtosis (34/500)-0.7768000.001000 \tabularnewline Trim. Skewness (35/500)-0.1032000.378800 & Trim. Kurtosis (35/500)-0.7833000.000800 \tabularnewline Trim. Skewness (36/500)-0.1018000.384400 & Trim. Kurtosis (36/500)-0.7898000.000800 \tabularnewline Trim. Skewness (37/500)-0.0998000.395400 & Trim. Kurtosis (37/500)-0.7961000.000800 \tabularnewline Trim. Skewness (38/500)-0.0977000.406600 & Trim. Kurtosis (38/500)-0.8034000.000600 \tabularnewline Trim. Skewness (39/500)-0.0961000.418000 & Trim. Kurtosis (39/500)-0.8109000.000600 \tabularnewline Trim. Skewness (40/500)-0.0945000.423800 & Trim. Kurtosis (40/500)-0.8197000.000600 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103740&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]-0.137500[/C]0.207600[/C][C]Trim. Kurtosis (0/500)[/C]0.143500[/C]0.509200[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.165300[/C]0.128600[/C][C]Trim. Kurtosis (1/500)[/C]-0.058700[/C]0.787200[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.160100[/C]0.144200[/C][C]Trim. Kurtosis (2/500)[/C]-0.128900[/C]0.555200[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.153300[/C]0.161600[/C][C]Trim. Kurtosis (3/500)[/C]-0.195900[/C]0.368200[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.143900[/C]0.190200[/C][C]Trim. Kurtosis (4/500)[/C]-0.256800[/C]0.242000[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.134600[/C]0.222400[/C][C]Trim. Kurtosis (5/500)[/C]-0.316300[/C]0.149800[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.120100[/C]0.275800[/C][C]Trim. Kurtosis (6/500)[/C]-0.370000[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.110400[/C]0.317400[/C][C]Trim. Kurtosis (7/500)[/C]-0.411000[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.105900[/C]0.337000[/C][C]Trim. Kurtosis (8/500)[/C]-0.435500[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.103500[/C]0.347200[/C][C]Trim. Kurtosis (9/500)[/C]-0.456600[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.103500[/C]0.352400[/C][C]Trim. Kurtosis (10/500)[/C]-0.474200[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.102200[/C]0.357600[/C][C]Trim. Kurtosis (11/500)[/C]-0.491400[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.102400[/C]0.357600[/C][C]Trim. Kurtosis (12/500)[/C]-0.506600[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.104300[/C]0.352400[/C][C]Trim. Kurtosis (13/500)[/C]-0.520500[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.105400[/C]0.347200[/C][C]Trim. Kurtosis (14/500)[/C]-0.533600[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.106900[/C]0.342200[/C][C]Trim. Kurtosis (15/500)[/C]-0.547000[/C]0.014600[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.108900[/C]0.332000[/C][C]Trim. Kurtosis (16/500)[/C]-0.560200[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.110300[/C]0.327000[/C][C]Trim. Kurtosis (17/500)[/C]-0.573800[/C]0.010800[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.111500[/C]0.322200[/C][C]Trim. Kurtosis (18/500)[/C]-0.588200[/C]0.009000[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.112300[/C]0.322200[/C][C]Trim. Kurtosis (19/500)[/C]-0.603700[/C]0.007600[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.111400[/C]0.327000[/C][C]Trim. Kurtosis (20/500)[/C]-0.617000[/C]0.006600[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.110500[/C]0.332000[/C][C]Trim. Kurtosis (21/500)[/C]-0.630900[/C]0.005400[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.110200[/C]0.332000[/C][C]Trim. Kurtosis (22/500)[/C]-0.645300[/C]0.004600[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.110000[/C]0.337000[/C][C]Trim. Kurtosis (23/500)[/C]-0.659000[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.110700[/C]0.332000[/C][C]Trim. Kurtosis (24/500)[/C]-0.671400[/C]0.003400[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.111700[/C]0.327000[/C][C]Trim. Kurtosis (25/500)[/C]-0.685000[/C]0.002800[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.112300[/C]0.327000[/C][C]Trim. Kurtosis (26/500)[/C]-0.697800[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.112300[/C]0.327000[/C][C]Trim. Kurtosis (27/500)[/C]-0.708300[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.111500[/C]0.332000[/C][C]Trim. Kurtosis (28/500)[/C]-0.718100[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.110900[/C]0.337000[/C][C]Trim. Kurtosis (29/500)[/C]-0.728500[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.110000[/C]0.342200[/C][C]Trim. Kurtosis (30/500)[/C]-0.739800[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.107600[/C]0.352400[/C][C]Trim. Kurtosis (31/500)[/C]-0.750500[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.105800[/C]0.362800[/C][C]Trim. Kurtosis (32/500)[/C]-0.759900[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.105300[/C]0.368200[/C][C]Trim. Kurtosis (33/500)[/C]-0.767700[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.104600[/C]0.368200[/C][C]Trim. Kurtosis (34/500)[/C]-0.776800[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.103200[/C]0.378800[/C][C]Trim. Kurtosis (35/500)[/C]-0.783300[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.101800[/C]0.384400[/C][C]Trim. Kurtosis (36/500)[/C]-0.789800[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.099800[/C]0.395400[/C][C]Trim. Kurtosis (37/500)[/C]-0.796100[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.097700[/C]0.406600[/C][C]Trim. Kurtosis (38/500)[/C]-0.803400[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.096100[/C]0.418000[/C][C]Trim. Kurtosis (39/500)[/C]-0.810900[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.094500[/C]0.423800[/C][C]Trim. Kurtosis (40/500)[/C]-0.819700[/C]0.000600[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103740&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103740&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)-0.1375000.207600Trim. Kurtosis (0/500)0.1435000.509200
Trim. Skewness (1/500)-0.1653000.128600Trim. Kurtosis (1/500)-0.0587000.787200
Trim. Skewness (2/500)-0.1601000.144200Trim. Kurtosis (2/500)-0.1289000.555200
Trim. Skewness (3/500)-0.1533000.161600Trim. Kurtosis (3/500)-0.1959000.368200
Trim. Skewness (4/500)-0.1439000.190200Trim. Kurtosis (4/500)-0.2568000.242000
Trim. Skewness (5/500)-0.1346000.222400Trim. Kurtosis (5/500)-0.3163000.149800
Trim. Skewness (6/500)-0.1201000.275800Trim. Kurtosis (6/500)-0.3700000.093000
Trim. Skewness (7/500)-0.1104000.317400Trim. Kurtosis (7/500)-0.4110000.062800
Trim. Skewness (8/500)-0.1059000.337000Trim. Kurtosis (8/500)-0.4355000.048800
Trim. Skewness (9/500)-0.1035000.347200Trim. Kurtosis (9/500)-0.4566000.039400
Trim. Skewness (10/500)-0.1035000.352400Trim. Kurtosis (10/500)-0.4742000.032400
Trim. Skewness (11/500)-0.1022000.357600Trim. Kurtosis (11/500)-0.4914000.027200
Trim. Skewness (12/500)-0.1024000.357600Trim. Kurtosis (12/500)-0.5066000.023200
Trim. Skewness (13/500)-0.1043000.352400Trim. Kurtosis (13/500)-0.5205000.019800
Trim. Skewness (14/500)-0.1054000.347200Trim. Kurtosis (14/500)-0.5336000.017400
Trim. Skewness (15/500)-0.1069000.342200Trim. Kurtosis (15/500)-0.5470000.014600
Trim. Skewness (16/500)-0.1089000.332000Trim. Kurtosis (16/500)-0.5602000.012800
Trim. Skewness (17/500)-0.1103000.327000Trim. Kurtosis (17/500)-0.5738000.010800
Trim. Skewness (18/500)-0.1115000.322200Trim. Kurtosis (18/500)-0.5882000.009000
Trim. Skewness (19/500)-0.1123000.322200Trim. Kurtosis (19/500)-0.6037000.007600
Trim. Skewness (20/500)-0.1114000.327000Trim. Kurtosis (20/500)-0.6170000.006600
Trim. Skewness (21/500)-0.1105000.332000Trim. Kurtosis (21/500)-0.6309000.005400
Trim. Skewness (22/500)-0.1102000.332000Trim. Kurtosis (22/500)-0.6453000.004600
Trim. Skewness (23/500)-0.1100000.337000Trim. Kurtosis (23/500)-0.6590000.003800
Trim. Skewness (24/500)-0.1107000.332000Trim. Kurtosis (24/500)-0.6714000.003400
Trim. Skewness (25/500)-0.1117000.327000Trim. Kurtosis (25/500)-0.6850000.002800
Trim. Skewness (26/500)-0.1123000.327000Trim. Kurtosis (26/500)-0.6978000.002400
Trim. Skewness (27/500)-0.1123000.327000Trim. Kurtosis (27/500)-0.7083000.002000
Trim. Skewness (28/500)-0.1115000.332000Trim. Kurtosis (28/500)-0.7181000.001800
Trim. Skewness (29/500)-0.1109000.337000Trim. Kurtosis (29/500)-0.7285000.001600
Trim. Skewness (30/500)-0.1100000.342200Trim. Kurtosis (30/500)-0.7398000.001400
Trim. Skewness (31/500)-0.1076000.352400Trim. Kurtosis (31/500)-0.7505000.001200
Trim. Skewness (32/500)-0.1058000.362800Trim. Kurtosis (32/500)-0.7599000.001200
Trim. Skewness (33/500)-0.1053000.368200Trim. Kurtosis (33/500)-0.7677000.001000
Trim. Skewness (34/500)-0.1046000.368200Trim. Kurtosis (34/500)-0.7768000.001000
Trim. Skewness (35/500)-0.1032000.378800Trim. Kurtosis (35/500)-0.7833000.000800
Trim. Skewness (36/500)-0.1018000.384400Trim. Kurtosis (36/500)-0.7898000.000800
Trim. Skewness (37/500)-0.0998000.395400Trim. Kurtosis (37/500)-0.7961000.000800
Trim. Skewness (38/500)-0.0977000.406600Trim. Kurtosis (38/500)-0.8034000.000600
Trim. Skewness (39/500)-0.0961000.418000Trim. Kurtosis (39/500)-0.8109000.000600
Trim. Skewness (40/500)-0.0945000.423800Trim. Kurtosis (40/500)-0.8197000.000600


Figures (Output of Computation)

Input Parameters & R Code

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