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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 18:36:46 +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/t12911420921wgorcu5wsqmixf.htm/, Retrieved Mon, 29 Apr 2024 08:39:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103722, Retrieved Mon, 29 Apr 2024 08:39:14 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact153

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 18:36:46] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
40,88689209
46,00535977
39,65792576
41,25090739
40,29780378
42,47542058
40,49618464
42,23454745
39,47708245
36,64600967
36,98014396
44,49939502
39,48059511
42,11495668
43,33151586
42,91362685
36,89810264
39,56948108
40,88253132
44,43942702
41,41271943
38,54636633
43,78199143
40,58789394
41,10175555
38,92643585
38,68309123
41,68302117
37,93471857
39,37416585
43,18527708
43,03901432
40,11138596
39,59509703
36,66279369
44,46062461
38,71629026
41,36132222
38,07959373
42,07144983
39,38666232
39,73026831
42,68989498
40,60167812
32,25669168
37,34782746
37,36419731
43,02756669
38,66343524
37,81770537
40,68692341
39,09262244
41,00284733
39,87866886
41,62302386
38,60745492
38,60323148
41,09227226
42,58040423
38,22008785
41,42915838
42,23365719
43,2277209
37,41605801
39,40457721
38,37055427
41,88096982
41,41600896
38,76589674
37,81991217
40,72330886
43,02522828
41,91270694
38,69114551
38,73776296
42,31245689
37,35459451
39,78929892
38,93005948
40,78539083
40,43603594
41,28185538
39,59086494
37,51267835
44,6098761
41,37029776
44,00122549
41,17585299
41,01711747
39,36737389
39,80471051
39,49789187
43,02530968
42,45044158
42,79202981
38,33415292
41,54922556
38,06227775
40,08608712
41,98790924
38,15615249
37,05273422
40,2115715
40,80098447
37,11229434
38,69467607
38,00037676
39,83957016
41,64042354
39,34352072
40,29394764
42,33725728
39,9931448
43,89857513
38,31138407
39,25401088
39,87451733
41,0353285
42,8879193
40,60701185

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.551099FISHER 4th Cent. Mom.78.076094
FISHER beta 10.023552FISHER beta 23.572853
FISHER gamma 1-0.153466FISHER gamma 20.572853
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.686321FISHER Test 21.280939
FISHER Test 1 Probability0.490200FISHER Test 2 Probability0.197000
Pearson 20.070773
Yule using Quartile definition:Weighted Average at Xnp-0.005055
Yule using Quartile definition:Weighted Average at X(n+1)p0.004088
Yule using Quartile definition:Empirical Distribution Function-0.005055
Yule using Quartile definition:Empirical Distribution Function - Averaging0.003312
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.002530
Yule using Quartile definition:Closest Observation-0.005055
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.002530
Yule using Quartile definition:MS Excel (old versions)0.004858
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.155416Kurtosis (small sample)0.649175
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.703624TEST 1 (small sample)1.481018
TEST 1 Prob. (small sample)0.477600TEST 1 Prob. (small sample)0.136200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-1.551099 & FISHER 4th Cent. Mom.78.076094 \tabularnewline FISHER beta 10.023552 & FISHER beta 23.572853 \tabularnewline FISHER gamma 1-0.153466 & FISHER gamma 20.572853 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-0.686321 & FISHER Test 21.280939 \tabularnewline FISHER Test 1 Probability0.490200 & FISHER Test 2 Probability0.197000 \tabularnewline Pearson 20.070773 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.005055 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.004088 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.005055 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.003312 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.002530 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.005055 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.002530 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.004858 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.155416 & Kurtosis (small sample)0.649175 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-0.703624 & TEST 1 (small sample)1.481018 \tabularnewline TEST 1 Prob. (small sample)0.477600 & TEST 1 Prob. (small sample)0.136200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103722&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]-1.551099[/C][C]FISHER 4th Cent. Mom.[/C]78.076094[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.023552[/C][C]FISHER beta 2[/C]3.572853[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.153466[/C][C]FISHER gamma 2[/C]0.572853[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.223607[/C][C]FISHER gamma 2 (S.E.)[/C]0.447214[/C][/ROW] [ROW][C]FISHER Test 1[/C]-0.686321[/C][C]FISHER Test 2[/C]1.280939[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.490200[/C][C]FISHER Test 2 Probability[/C]0.197000[/C][/ROW] [ROW][C]Pearson 2[/C]0.070773[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.005055[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.004088[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.005055[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.003312[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.002530[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.005055[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.002530[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.004858[/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]-0.155416[/C][C]Kurtosis (small sample)[/C]0.649175[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.220879[/C][C]Kurtosis S.E. (small sample)[/C]0.438331[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]-0.703624[/C][C]TEST 1 (small sample)[/C]1.481018[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.477600[/C][C]TEST 1 Prob. (small sample)[/C]0.136200[/C][/ROW] [ROW][C]Observations[/C]120[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103722&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103722&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.-1.551099FISHER 4th Cent. Mom.78.076094
FISHER beta 10.023552FISHER beta 23.572853
FISHER gamma 1-0.153466FISHER gamma 20.572853
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.686321FISHER Test 21.280939
FISHER Test 1 Probability0.490200FISHER Test 2 Probability0.197000
Pearson 20.070773
Yule using Quartile definition:Weighted Average at Xnp-0.005055
Yule using Quartile definition:Weighted Average at X(n+1)p0.004088
Yule using Quartile definition:Empirical Distribution Function-0.005055
Yule using Quartile definition:Empirical Distribution Function - Averaging0.003312
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.002530
Yule using Quartile definition:Closest Observation-0.005055
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.002530
Yule using Quartile definition:MS Excel (old versions)0.004858
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.155416Kurtosis (small sample)0.649175
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.703624TEST 1 (small sample)1.481018
TEST 1 Prob. (small sample)0.477600TEST 1 Prob. (small sample)0.136200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.1554000.477600Trim. Kurtosis (0/120)0.6492000.136200
Trim. Skewness (1/120)0.1474000.502800Trim. Kurtosis (1/120)-0.7575000.085400
Trim. Skewness (2/120)0.1395000.528600Trim. Kurtosis (2/120)-0.7813000.078400
Trim. Skewness (3/120)0.1337000.548400Trim. Kurtosis (3/120)-0.8149000.068800
Trim. Skewness (4/120)0.1166000.603000Trim. Kurtosis (4/120)-0.8555000.058800
Trim. Skewness (5/120)0.0915000.689200Trim. Kurtosis (5/120)-0.9191000.043400
Trim. Skewness (6/120)0.0830000.718800Trim. Kurtosis (6/120)-0.9510000.038400
Trim. Skewness (7/120)0.0748000.749000Trim. Kurtosis (7/120)-0.9903000.033200
Trim. Skewness (8/120)0.0592000.802600Trim. Kurtosis (8/120)-1.0231000.029200
Trim. Skewness (9/120)0.0642000.787200Trim. Kurtosis (9/120)-1.0290000.029200
Trim. Skewness (10/120)0.0746000.756600Trim. Kurtosis (10/120)-1.0385000.029200
Trim. Skewness (11/120)0.0862000.718800Trim. Kurtosis (11/120)-1.0539000.028600
Trim. Skewness (12/120)0.1016000.674400Trim. Kurtosis (12/120)-1.0636000.028600
Trim. Skewness (13/120)0.1027000.674400Trim. Kurtosis (13/120)-1.0593000.030800
Trim. Skewness (14/120)0.1035000.674400Trim. Kurtosis (14/120)-1.0645000.032400
Trim. Skewness (15/120)0.0969000.696600Trim. Kurtosis (15/120)-1.0746000.032400
Trim. Skewness (16/120)0.0916000.718800Trim. Kurtosis (16/120)-1.0810000.033200
Trim. Skewness (17/120)0.0822000.749000Trim. Kurtosis (17/120)-1.0944000.033200
Trim. Skewness (18/120)0.0759000.771800Trim. Kurtosis (18/120)-1.1104000.032400
Trim. Skewness (19/120)0.0701000.787200Trim. Kurtosis (19/120)-1.1232000.032400
Trim. Skewness (20/120)0.0663000.802600Trim. Kurtosis (20/120)-1.1315000.033200
Trim. Skewness (21/120)0.0626000.810400Trim. Kurtosis (21/120)-1.1320000.034800
Trim. Skewness (22/120)0.0577000.833600Trim. Kurtosis (22/120)-1.1411000.035800
Trim. Skewness (23/120)0.0581000.833600Trim. Kurtosis (23/120)-1.1464000.037600
Trim. Skewness (24/120)0.0454000.865000Trim. Kurtosis (24/120)-1.1456000.040400
Trim. Skewness (25/120)0.0319000.904400Trim. Kurtosis (25/120)-1.1404000.043400
Trim. Skewness (26/120)0.0133000.960200Trim. Kurtosis (26/120)-1.1500000.044400
Trim. Skewness (27/120)-0.0023000.992000Trim. Kurtosis (27/120)-1.1491000.047800
Trim. Skewness (28/120)-0.0197000.944200Trim. Kurtosis (28/120)-1.1549000.050000
Trim. Skewness (29/120)-0.0324000.912400Trim. Kurtosis (29/120)-1.1635000.051200
Trim. Skewness (30/120)-0.0389000.896600Trim. Kurtosis (30/120)-1.1805000.051200
Trim. Skewness (31/120)-0.0455000.880800Trim. Kurtosis (31/120)-1.2193000.047800
Trim. Skewness (32/120)-0.0256000.928200Trim. Kurtosis (32/120)-1.2484000.046600
Trim. Skewness (33/120)0.0048000.984000Trim. Kurtosis (33/120)-1.3019000.041400
Trim. Skewness (34/120)0.0164000.960200Trim. Kurtosis (34/120)-1.3397000.038400
Trim. Skewness (35/120)0.0465000.888600Trim. Kurtosis (35/120)-1.4052000.033200
Trim. Skewness (36/120)0.0706000.833600Trim. Kurtosis (36/120)-1.4255000.034000
Trim. Skewness (37/120)0.0735000.825800Trim. Kurtosis (37/120)-1.4222000.038400
Trim. Skewness (38/120)0.0618000.857200Trim. Kurtosis (38/120)-1.4177000.042400
Trim. Skewness (39/120)0.0489000.888600Trim. Kurtosis (39/120)-1.4120000.047800
Trim. Skewness (40/120)0.0291000.936200Trim. Kurtosis (40/120)-1.4237000.051200

\begin{tabular}{lllllllll}
\hline

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data \tabularnewline

Skewness Measure (small sample)
ValueProbabilityKurtosis Measure (small sample)ValueProbability \tabularnewline Trim. Skewness (0/120)-0.1554000.477600 & Trim. Kurtosis (0/120)0.6492000.136200 \tabularnewline Trim. Skewness (1/120)0.1474000.502800 & Trim. Kurtosis (1/120)-0.7575000.085400 \tabularnewline Trim. Skewness (2/120)0.1395000.528600 & Trim. Kurtosis (2/120)-0.7813000.078400 \tabularnewline Trim. Skewness (3/120)0.1337000.548400 & Trim. Kurtosis (3/120)-0.8149000.068800 \tabularnewline Trim. Skewness (4/120)0.1166000.603000 & Trim. Kurtosis (4/120)-0.8555000.058800 \tabularnewline Trim. Skewness (5/120)0.0915000.689200 & Trim. Kurtosis (5/120)-0.9191000.043400 \tabularnewline Trim. Skewness (6/120)0.0830000.718800 & Trim. Kurtosis (6/120)-0.9510000.038400 \tabularnewline Trim. Skewness (7/120)0.0748000.749000 & Trim. Kurtosis (7/120)-0.9903000.033200 \tabularnewline Trim. Skewness (8/120)0.0592000.802600 & Trim. Kurtosis (8/120)-1.0231000.029200 \tabularnewline Trim. Skewness (9/120)0.0642000.787200 & Trim. Kurtosis (9/120)-1.0290000.029200 \tabularnewline Trim. Skewness (10/120)0.0746000.756600 & Trim. Kurtosis (10/120)-1.0385000.029200 \tabularnewline Trim. Skewness (11/120)0.0862000.718800 & Trim. Kurtosis (11/120)-1.0539000.028600 \tabularnewline Trim. Skewness (12/120)0.1016000.674400 & Trim. Kurtosis (12/120)-1.0636000.028600 \tabularnewline Trim. Skewness (13/120)0.1027000.674400 & Trim. Kurtosis (13/120)-1.0593000.030800 \tabularnewline Trim. Skewness (14/120)0.1035000.674400 & Trim. Kurtosis (14/120)-1.0645000.032400 \tabularnewline Trim. Skewness (15/120)0.0969000.696600 & Trim. Kurtosis (15/120)-1.0746000.032400 \tabularnewline Trim. Skewness (16/120)0.0916000.718800 & Trim. Kurtosis (16/120)-1.0810000.033200 \tabularnewline Trim. Skewness (17/120)0.0822000.749000 & Trim. Kurtosis (17/120)-1.0944000.033200 \tabularnewline Trim. Skewness (18/120)0.0759000.771800 & Trim. Kurtosis (18/120)-1.1104000.032400 \tabularnewline Trim. Skewness (19/120)0.0701000.787200 & Trim. Kurtosis (19/120)-1.1232000.032400 \tabularnewline Trim. Skewness (20/120)0.0663000.802600 & Trim. Kurtosis (20/120)-1.1315000.033200 \tabularnewline Trim. Skewness (21/120)0.0626000.810400 & Trim. Kurtosis (21/120)-1.1320000.034800 \tabularnewline Trim. Skewness (22/120)0.0577000.833600 & Trim. Kurtosis (22/120)-1.1411000.035800 \tabularnewline Trim. Skewness (23/120)0.0581000.833600 & Trim. Kurtosis (23/120)-1.1464000.037600 \tabularnewline Trim. Skewness (24/120)0.0454000.865000 & Trim. Kurtosis (24/120)-1.1456000.040400 \tabularnewline Trim. Skewness (25/120)0.0319000.904400 & Trim. Kurtosis (25/120)-1.1404000.043400 \tabularnewline Trim. Skewness (26/120)0.0133000.960200 & Trim. Kurtosis (26/120)-1.1500000.044400 \tabularnewline Trim. Skewness (27/120)-0.0023000.992000 & Trim. Kurtosis (27/120)-1.1491000.047800 \tabularnewline Trim. Skewness (28/120)-0.0197000.944200 & Trim. Kurtosis (28/120)-1.1549000.050000 \tabularnewline Trim. Skewness (29/120)-0.0324000.912400 & Trim. Kurtosis (29/120)-1.1635000.051200 \tabularnewline Trim. Skewness (30/120)-0.0389000.896600 & Trim. Kurtosis (30/120)-1.1805000.051200 \tabularnewline Trim. Skewness (31/120)-0.0455000.880800 & Trim. Kurtosis (31/120)-1.2193000.047800 \tabularnewline Trim. Skewness (32/120)-0.0256000.928200 & Trim. Kurtosis (32/120)-1.2484000.046600 \tabularnewline Trim. Skewness (33/120)0.0048000.984000 & Trim. Kurtosis (33/120)-1.3019000.041400 \tabularnewline Trim. Skewness (34/120)0.0164000.960200 & Trim. Kurtosis (34/120)-1.3397000.038400 \tabularnewline Trim. Skewness (35/120)0.0465000.888600 & Trim. Kurtosis (35/120)-1.4052000.033200 \tabularnewline Trim. Skewness (36/120)0.0706000.833600 & Trim. Kurtosis (36/120)-1.4255000.034000 \tabularnewline Trim. Skewness (37/120)0.0735000.825800 & Trim. Kurtosis (37/120)-1.4222000.038400 \tabularnewline Trim. Skewness (38/120)0.0618000.857200 & Trim. Kurtosis (38/120)-1.4177000.042400 \tabularnewline Trim. Skewness (39/120)0.0489000.888600 & Trim. Kurtosis (39/120)-1.4120000.047800 \tabularnewline Trim. Skewness (40/120)0.0291000.936200 & Trim. Kurtosis (40/120)-1.4237000.051200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103722&T=1

[TABLE]

[ROW][C]Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure (small sample)[/C]
Value[/C]Probability[/C]Kurtosis Measure (small sample)[/C]Value[/C]Probability[/C][/ROW] [ROW][C]Trim. Skewness (0/120)[/C]-0.155400[/C]0.477600[/C][C]Trim. Kurtosis (0/120)[/C]0.649200[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.147400[/C]0.502800[/C][C]Trim. Kurtosis (1/120)[/C]-0.757500[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.139500[/C]0.528600[/C][C]Trim. Kurtosis (2/120)[/C]-0.781300[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.133700[/C]0.548400[/C][C]Trim. Kurtosis (3/120)[/C]-0.814900[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.116600[/C]0.603000[/C][C]Trim. Kurtosis (4/120)[/C]-0.855500[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.091500[/C]0.689200[/C][C]Trim. Kurtosis (5/120)[/C]-0.919100[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.083000[/C]0.718800[/C][C]Trim. Kurtosis (6/120)[/C]-0.951000[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.074800[/C]0.749000[/C][C]Trim. Kurtosis (7/120)[/C]-0.990300[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.059200[/C]0.802600[/C][C]Trim. Kurtosis (8/120)[/C]-1.023100[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.064200[/C]0.787200[/C][C]Trim. Kurtosis (9/120)[/C]-1.029000[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.074600[/C]0.756600[/C][C]Trim. Kurtosis (10/120)[/C]-1.038500[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.086200[/C]0.718800[/C][C]Trim. Kurtosis (11/120)[/C]-1.053900[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.101600[/C]0.674400[/C][C]Trim. Kurtosis (12/120)[/C]-1.063600[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.102700[/C]0.674400[/C][C]Trim. Kurtosis (13/120)[/C]-1.059300[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.103500[/C]0.674400[/C][C]Trim. Kurtosis (14/120)[/C]-1.064500[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.096900[/C]0.696600[/C][C]Trim. Kurtosis (15/120)[/C]-1.074600[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.091600[/C]0.718800[/C][C]Trim. Kurtosis (16/120)[/C]-1.081000[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.082200[/C]0.749000[/C][C]Trim. Kurtosis (17/120)[/C]-1.094400[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.075900[/C]0.771800[/C][C]Trim. Kurtosis (18/120)[/C]-1.110400[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.070100[/C]0.787200[/C][C]Trim. Kurtosis (19/120)[/C]-1.123200[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.066300[/C]0.802600[/C][C]Trim. Kurtosis (20/120)[/C]-1.131500[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.062600[/C]0.810400[/C][C]Trim. Kurtosis (21/120)[/C]-1.132000[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.057700[/C]0.833600[/C][C]Trim. Kurtosis (22/120)[/C]-1.141100[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.058100[/C]0.833600[/C][C]Trim. Kurtosis (23/120)[/C]-1.146400[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.045400[/C]0.865000[/C][C]Trim. Kurtosis (24/120)[/C]-1.145600[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.031900[/C]0.904400[/C][C]Trim. Kurtosis (25/120)[/C]-1.140400[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.013300[/C]0.960200[/C][C]Trim. Kurtosis (26/120)[/C]-1.150000[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.002300[/C]0.992000[/C][C]Trim. Kurtosis (27/120)[/C]-1.149100[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.019700[/C]0.944200[/C][C]Trim. Kurtosis (28/120)[/C]-1.154900[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.032400[/C]0.912400[/C][C]Trim. Kurtosis (29/120)[/C]-1.163500[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.038900[/C]0.896600[/C][C]Trim. Kurtosis (30/120)[/C]-1.180500[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.045500[/C]0.880800[/C][C]Trim. Kurtosis (31/120)[/C]-1.219300[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.025600[/C]0.928200[/C][C]Trim. Kurtosis (32/120)[/C]-1.248400[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.004800[/C]0.984000[/C][C]Trim. Kurtosis (33/120)[/C]-1.301900[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.016400[/C]0.960200[/C][C]Trim. Kurtosis (34/120)[/C]-1.339700[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.046500[/C]0.888600[/C][C]Trim. Kurtosis (35/120)[/C]-1.405200[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.070600[/C]0.833600[/C][C]Trim. Kurtosis (36/120)[/C]-1.425500[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.073500[/C]0.825800[/C][C]Trim. Kurtosis (37/120)[/C]-1.422200[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.061800[/C]0.857200[/C][C]Trim. Kurtosis (38/120)[/C]-1.417700[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.048900[/C]0.888600[/C][C]Trim. Kurtosis (39/120)[/C]-1.412000[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.029100[/C]0.936200[/C][C]Trim. Kurtosis (40/120)[/C]-1.423700[/C]0.051200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103722&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103722&T=1

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


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

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.1554000.477600Trim. Kurtosis (0/120)0.6492000.136200
Trim. Skewness (1/120)0.1474000.502800Trim. Kurtosis (1/120)-0.7575000.085400
Trim. Skewness (2/120)0.1395000.528600Trim. Kurtosis (2/120)-0.7813000.078400
Trim. Skewness (3/120)0.1337000.548400Trim. Kurtosis (3/120)-0.8149000.068800
Trim. Skewness (4/120)0.1166000.603000Trim. Kurtosis (4/120)-0.8555000.058800
Trim. Skewness (5/120)0.0915000.689200Trim. Kurtosis (5/120)-0.9191000.043400
Trim. Skewness (6/120)0.0830000.718800Trim. Kurtosis (6/120)-0.9510000.038400
Trim. Skewness (7/120)0.0748000.749000Trim. Kurtosis (7/120)-0.9903000.033200
Trim. Skewness (8/120)0.0592000.802600Trim. Kurtosis (8/120)-1.0231000.029200
Trim. Skewness (9/120)0.0642000.787200Trim. Kurtosis (9/120)-1.0290000.029200
Trim. Skewness (10/120)0.0746000.756600Trim. Kurtosis (10/120)-1.0385000.029200
Trim. Skewness (11/120)0.0862000.718800Trim. Kurtosis (11/120)-1.0539000.028600
Trim. Skewness (12/120)0.1016000.674400Trim. Kurtosis (12/120)-1.0636000.028600
Trim. Skewness (13/120)0.1027000.674400Trim. Kurtosis (13/120)-1.0593000.030800
Trim. Skewness (14/120)0.1035000.674400Trim. Kurtosis (14/120)-1.0645000.032400
Trim. Skewness (15/120)0.0969000.696600Trim. Kurtosis (15/120)-1.0746000.032400
Trim. Skewness (16/120)0.0916000.718800Trim. Kurtosis (16/120)-1.0810000.033200
Trim. Skewness (17/120)0.0822000.749000Trim. Kurtosis (17/120)-1.0944000.033200
Trim. Skewness (18/120)0.0759000.771800Trim. Kurtosis (18/120)-1.1104000.032400
Trim. Skewness (19/120)0.0701000.787200Trim. Kurtosis (19/120)-1.1232000.032400
Trim. Skewness (20/120)0.0663000.802600Trim. Kurtosis (20/120)-1.1315000.033200
Trim. Skewness (21/120)0.0626000.810400Trim. Kurtosis (21/120)-1.1320000.034800
Trim. Skewness (22/120)0.0577000.833600Trim. Kurtosis (22/120)-1.1411000.035800
Trim. Skewness (23/120)0.0581000.833600Trim. Kurtosis (23/120)-1.1464000.037600
Trim. Skewness (24/120)0.0454000.865000Trim. Kurtosis (24/120)-1.1456000.040400
Trim. Skewness (25/120)0.0319000.904400Trim. Kurtosis (25/120)-1.1404000.043400
Trim. Skewness (26/120)0.0133000.960200Trim. Kurtosis (26/120)-1.1500000.044400
Trim. Skewness (27/120)-0.0023000.992000Trim. Kurtosis (27/120)-1.1491000.047800
Trim. Skewness (28/120)-0.0197000.944200Trim. Kurtosis (28/120)-1.1549000.050000
Trim. Skewness (29/120)-0.0324000.912400Trim. Kurtosis (29/120)-1.1635000.051200
Trim. Skewness (30/120)-0.0389000.896600Trim. Kurtosis (30/120)-1.1805000.051200
Trim. Skewness (31/120)-0.0455000.880800Trim. Kurtosis (31/120)-1.2193000.047800
Trim. Skewness (32/120)-0.0256000.928200Trim. Kurtosis (32/120)-1.2484000.046600
Trim. Skewness (33/120)0.0048000.984000Trim. Kurtosis (33/120)-1.3019000.041400
Trim. Skewness (34/120)0.0164000.960200Trim. Kurtosis (34/120)-1.3397000.038400
Trim. Skewness (35/120)0.0465000.888600Trim. Kurtosis (35/120)-1.4052000.033200
Trim. Skewness (36/120)0.0706000.833600Trim. Kurtosis (36/120)-1.4255000.034000
Trim. Skewness (37/120)0.0735000.825800Trim. Kurtosis (37/120)-1.4222000.038400
Trim. Skewness (38/120)0.0618000.857200Trim. Kurtosis (38/120)-1.4177000.042400
Trim. Skewness (39/120)0.0489000.888600Trim. Kurtosis (39/120)-1.4120000.047800
Trim. Skewness (40/120)0.0291000.936200Trim. Kurtosis (40/120)-1.4237000.051200


Figures (Output of Computation)

Input Parameters & R Code

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