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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 18:43:23 +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/t1291142486pnbqn1riy7wf22k.htm/, Retrieved Mon, 29 Apr 2024 15:04:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103733, Retrieved Mon, 29 Apr 2024 15:04:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact154

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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 18:43:23] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
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Histogram
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49,22043094
46,49972159
44,35038951
45,26683988
46,55833968
46,08519797
48,74277599
41,87356842
46,78074437
41,73570144
43,79351449
47,17466271
43,70001203
46,52129493
45,20587379
49,4381241
43,17597672
46,88438338
44,58758721
48,95060458
46,0147376
46,01113302
46,69983963
45,09801413
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43,53615269
43,8516386
46,91064213
45,06094671
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43,10839446
46,15315604
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49,41630889
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49,3227641
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45,87315246
45,26062962
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45,72095217
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49,13851122
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48,25194829
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48,37133015
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45,75085042
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Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.546122FISHER 4th Cent. Mom.45.885342
FISHER beta 10.005106FISHER beta 23.048095
FISHER gamma 10.071459FISHER gamma 20.048095
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.652327FISHER Test 20.219521
FISHER Test 1 Probability0.509200FISHER Test 2 Probability0.825800
Pearson 2-0.006700
Yule using Quartile definition:Weighted Average at Xnp-0.086213
Yule using Quartile definition:Weighted Average at X(n+1)p-0.084657
Yule using Quartile definition:Empirical Distribution Function-0.086213
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.083617
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.082574
Yule using Quartile definition:Closest Observation-0.086213
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.082574
Yule using Quartile definition:MS Excel (old versions)-0.085694
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.071674Kurtosis (small sample)0.060676
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.656248TEST 1 (small sample)0.278321
TEST 1 Prob. (small sample)0.509200TEST 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.0.546122 & FISHER 4th Cent. Mom.45.885342 \tabularnewline FISHER beta 10.005106 & FISHER beta 23.048095 \tabularnewline FISHER gamma 10.071459 & FISHER gamma 20.048095 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 10.652327 & FISHER Test 20.219521 \tabularnewline FISHER Test 1 Probability0.509200 & FISHER Test 2 Probability0.825800 \tabularnewline Pearson 2-0.006700 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.086213 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.084657 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.086213 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.083617 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.082574 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.086213 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.082574 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.085694 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.071674 & Kurtosis (small sample)0.060676 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)0.656248 & TEST 1 (small sample)0.278321 \tabularnewline TEST 1 Prob. (small sample)0.509200 & TEST 1 Prob. (small sample)0.779400 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103733&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]0.546122[/C][C]FISHER 4th Cent. Mom.[/C]45.885342[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.005106[/C][C]FISHER beta 2[/C]3.048095[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.071459[/C][C]FISHER gamma 2[/C]0.048095[/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]0.652327[/C][C]FISHER Test 2[/C]0.219521[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.509200[/C][C]FISHER Test 2 Probability[/C]0.825800[/C][/ROW] [ROW][C]Pearson 2[/C]-0.006700[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.086213[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.084657[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.086213[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.083617[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.082574[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.086213[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.082574[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.085694[/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]0.071674[/C][C]Kurtosis (small sample)[/C]0.060676[/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]0.656248[/C][C]TEST 1 (small sample)[/C]0.278321[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.509200[/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=103733&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103733&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.0.546122FISHER 4th Cent. Mom.45.885342
FISHER beta 10.005106FISHER beta 23.048095
FISHER gamma 10.071459FISHER gamma 20.048095
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.652327FISHER Test 20.219521
FISHER Test 1 Probability0.509200FISHER Test 2 Probability0.825800
Pearson 2-0.006700
Yule using Quartile definition:Weighted Average at Xnp-0.086213
Yule using Quartile definition:Weighted Average at X(n+1)p-0.084657
Yule using Quartile definition:Empirical Distribution Function-0.086213
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.083617
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.082574
Yule using Quartile definition:Closest Observation-0.086213
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.082574
Yule using Quartile definition:MS Excel (old versions)-0.085694
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.071674Kurtosis (small sample)0.060676
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.656248TEST 1 (small sample)0.278321
TEST 1 Prob. (small sample)0.509200TEST 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)0.0717000.509200Trim. Kurtosis (0/500)0.0607000.779400
Trim. Skewness (1/500)0.0312000.771800Trim. Kurtosis (1/500)-0.1720000.429600
Trim. Skewness (2/500)0.0130000.904400Trim. Kurtosis (2/500)-0.2827000.193600
Trim. Skewness (3/500)0.0087000.936200Trim. Kurtosis (3/500)-0.3556000.103200
Trim. Skewness (4/500)0.0069000.944200Trim. Kurtosis (4/500)-0.4052000.064400
Trim. Skewness (5/500)0.0083000.936200Trim. Kurtosis (5/500)-0.4411000.044400
Trim. Skewness (6/500)0.0139000.896600Trim. Kurtosis (6/500)-0.4728000.031600
Trim. Skewness (7/500)0.0186000.865000Trim. Kurtosis (7/500)-0.5020000.022600
Trim. Skewness (8/500)0.0213000.841400Trim. Kurtosis (8/500)-0.5264000.017400
Trim. Skewness (9/500)0.0244000.825800Trim. Kurtosis (9/500)-0.5447000.013800
Trim. Skewness (10/500)0.0267000.810400Trim. Kurtosis (10/500)-0.5642000.011000
Trim. Skewness (11/500)0.0293000.787200Trim. Kurtosis (11/500)-0.5826000.008800
Trim. Skewness (12/500)0.0308000.779400Trim. Kurtosis (12/500)-0.6014000.007000
Trim. Skewness (13/500)0.0322000.771800Trim. Kurtosis (13/500)-0.6210000.005400
Trim. Skewness (14/500)0.0321000.771800Trim. Kurtosis (14/500)-0.6381000.004400
Trim. Skewness (15/500)0.0316000.771800Trim. Kurtosis (15/500)-0.6572000.003400
Trim. Skewness (16/500)0.0329000.764200Trim. Kurtosis (16/500)-0.6739000.002600
Trim. Skewness (17/500)0.0330000.764200Trim. Kurtosis (17/500)-0.6901000.002200
Trim. Skewness (18/500)0.0331000.764200Trim. Kurtosis (18/500)-0.7080000.001800
Trim. Skewness (19/500)0.0324000.771800Trim. Kurtosis (19/500)-0.7254000.001400
Trim. Skewness (20/500)0.0329000.771800Trim. Kurtosis (20/500)-0.7392000.001200
Trim. Skewness (21/500)0.0328000.771800Trim. Kurtosis (21/500)-0.7524000.001000
Trim. Skewness (22/500)0.0339000.764200Trim. Kurtosis (22/500)-0.7647000.000800
Trim. Skewness (23/500)0.0351000.756600Trim. Kurtosis (23/500)-0.7777000.000600
Trim. Skewness (24/500)0.0375000.741400Trim. Kurtosis (24/500)-0.7897000.000600
Trim. Skewness (25/500)0.0387000.733800Trim. Kurtosis (25/500)-0.7995000.000400
Trim. Skewness (26/500)0.0406000.718800Trim. Kurtosis (26/500)-0.8099000.000400
Trim. Skewness (27/500)0.0422000.711400Trim. Kurtosis (27/500)-0.8200000.000400
Trim. Skewness (28/500)0.0427000.711400Trim. Kurtosis (28/500)-0.8291000.000400
Trim. Skewness (29/500)0.0429000.711400Trim. Kurtosis (29/500)-0.8372000.000200
Trim. Skewness (30/500)0.0433000.704000Trim. Kurtosis (30/500)-0.8455000.000200
Trim. Skewness (31/500)0.0426000.711400Trim. Kurtosis (31/500)-0.8508000.000200
Trim. Skewness (32/500)0.0417000.718800Trim. Kurtosis (32/500)-0.8569000.000200
Trim. Skewness (33/500)0.0411000.718800Trim. Kurtosis (33/500)-0.8618000.000200
Trim. Skewness (34/500)0.0412000.718800Trim. Kurtosis (34/500)-0.8657000.000200
Trim. Skewness (35/500)0.0413000.718800Trim. Kurtosis (35/500)-0.8705000.000200
Trim. Skewness (36/500)0.0411000.726400Trim. Kurtosis (36/500)-0.8757000.000200
Trim. Skewness (37/500)0.0411000.726400Trim. Kurtosis (37/500)-0.8817000.000200
Trim. Skewness (38/500)0.0413000.726400Trim. Kurtosis (38/500)-0.8877000.000200
Trim. Skewness (39/500)0.0413000.726400Trim. Kurtosis (39/500)-0.8943000.000200
Trim. Skewness (40/500)0.0417000.718800Trim. Kurtosis (40/500)-0.9001000.000200

\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)0.0717000.509200 & Trim. Kurtosis (0/500)0.0607000.779400 \tabularnewline Trim. Skewness (1/500)0.0312000.771800 & Trim. Kurtosis (1/500)-0.1720000.429600 \tabularnewline Trim. Skewness (2/500)0.0130000.904400 & Trim. Kurtosis (2/500)-0.2827000.193600 \tabularnewline Trim. Skewness (3/500)0.0087000.936200 & Trim. Kurtosis (3/500)-0.3556000.103200 \tabularnewline Trim. Skewness (4/500)0.0069000.944200 & Trim. Kurtosis (4/500)-0.4052000.064400 \tabularnewline Trim. Skewness (5/500)0.0083000.936200 & Trim. Kurtosis (5/500)-0.4411000.044400 \tabularnewline Trim. Skewness (6/500)0.0139000.896600 & Trim. Kurtosis (6/500)-0.4728000.031600 \tabularnewline Trim. Skewness (7/500)0.0186000.865000 & Trim. Kurtosis (7/500)-0.5020000.022600 \tabularnewline Trim. Skewness (8/500)0.0213000.841400 & Trim. Kurtosis (8/500)-0.5264000.017400 \tabularnewline Trim. Skewness (9/500)0.0244000.825800 & Trim. Kurtosis (9/500)-0.5447000.013800 \tabularnewline Trim. Skewness (10/500)0.0267000.810400 & Trim. Kurtosis (10/500)-0.5642000.011000 \tabularnewline Trim. Skewness (11/500)0.0293000.787200 & Trim. Kurtosis (11/500)-0.5826000.008800 \tabularnewline Trim. Skewness (12/500)0.0308000.779400 & Trim. Kurtosis (12/500)-0.6014000.007000 \tabularnewline Trim. Skewness (13/500)0.0322000.771800 & Trim. Kurtosis (13/500)-0.6210000.005400 \tabularnewline Trim. Skewness (14/500)0.0321000.771800 & Trim. Kurtosis (14/500)-0.6381000.004400 \tabularnewline Trim. Skewness (15/500)0.0316000.771800 & Trim. Kurtosis (15/500)-0.6572000.003400 \tabularnewline Trim. Skewness (16/500)0.0329000.764200 & Trim. Kurtosis (16/500)-0.6739000.002600 \tabularnewline Trim. Skewness (17/500)0.0330000.764200 & Trim. Kurtosis (17/500)-0.6901000.002200 \tabularnewline Trim. Skewness (18/500)0.0331000.764200 & Trim. Kurtosis (18/500)-0.7080000.001800 \tabularnewline Trim. Skewness (19/500)0.0324000.771800 & Trim. Kurtosis (19/500)-0.7254000.001400 \tabularnewline Trim. Skewness (20/500)0.0329000.771800 & Trim. Kurtosis (20/500)-0.7392000.001200 \tabularnewline Trim. Skewness (21/500)0.0328000.771800 & Trim. Kurtosis (21/500)-0.7524000.001000 \tabularnewline Trim. Skewness (22/500)0.0339000.764200 & Trim. Kurtosis (22/500)-0.7647000.000800 \tabularnewline Trim. Skewness (23/500)0.0351000.756600 & Trim. Kurtosis (23/500)-0.7777000.000600 \tabularnewline Trim. Skewness (24/500)0.0375000.741400 & Trim. Kurtosis (24/500)-0.7897000.000600 \tabularnewline Trim. Skewness (25/500)0.0387000.733800 & Trim. Kurtosis (25/500)-0.7995000.000400 \tabularnewline Trim. Skewness (26/500)0.0406000.718800 & Trim. Kurtosis (26/500)-0.8099000.000400 \tabularnewline Trim. Skewness (27/500)0.0422000.711400 & Trim. Kurtosis (27/500)-0.8200000.000400 \tabularnewline Trim. Skewness (28/500)0.0427000.711400 & Trim. Kurtosis (28/500)-0.8291000.000400 \tabularnewline Trim. Skewness (29/500)0.0429000.711400 & Trim. Kurtosis (29/500)-0.8372000.000200 \tabularnewline Trim. Skewness (30/500)0.0433000.704000 & Trim. Kurtosis (30/500)-0.8455000.000200 \tabularnewline Trim. Skewness (31/500)0.0426000.711400 & Trim. Kurtosis (31/500)-0.8508000.000200 \tabularnewline Trim. Skewness (32/500)0.0417000.718800 & Trim. Kurtosis (32/500)-0.8569000.000200 \tabularnewline Trim. Skewness (33/500)0.0411000.718800 & Trim. Kurtosis (33/500)-0.8618000.000200 \tabularnewline Trim. Skewness (34/500)0.0412000.718800 & Trim. Kurtosis (34/500)-0.8657000.000200 \tabularnewline Trim. Skewness (35/500)0.0413000.718800 & Trim. Kurtosis (35/500)-0.8705000.000200 \tabularnewline Trim. Skewness (36/500)0.0411000.726400 & Trim. Kurtosis (36/500)-0.8757000.000200 \tabularnewline Trim. Skewness (37/500)0.0411000.726400 & Trim. Kurtosis (37/500)-0.8817000.000200 \tabularnewline Trim. Skewness (38/500)0.0413000.726400 & Trim. Kurtosis (38/500)-0.8877000.000200 \tabularnewline Trim. Skewness (39/500)0.0413000.726400 & Trim. Kurtosis (39/500)-0.8943000.000200 \tabularnewline Trim. Skewness (40/500)0.0417000.718800 & Trim. Kurtosis (40/500)-0.9001000.000200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103733&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]0.071700[/C]0.509200[/C][C]Trim. Kurtosis (0/500)[/C]0.060700[/C]0.779400[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.031200[/C]0.771800[/C][C]Trim. Kurtosis (1/500)[/C]-0.172000[/C]0.429600[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.013000[/C]0.904400[/C][C]Trim. Kurtosis (2/500)[/C]-0.282700[/C]0.193600[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.008700[/C]0.936200[/C][C]Trim. Kurtosis (3/500)[/C]-0.355600[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.006900[/C]0.944200[/C][C]Trim. Kurtosis (4/500)[/C]-0.405200[/C]0.064400[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.008300[/C]0.936200[/C][C]Trim. Kurtosis (5/500)[/C]-0.441100[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.013900[/C]0.896600[/C][C]Trim. Kurtosis (6/500)[/C]-0.472800[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.018600[/C]0.865000[/C][C]Trim. Kurtosis (7/500)[/C]-0.502000[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.021300[/C]0.841400[/C][C]Trim. Kurtosis (8/500)[/C]-0.526400[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.024400[/C]0.825800[/C][C]Trim. Kurtosis (9/500)[/C]-0.544700[/C]0.013800[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.026700[/C]0.810400[/C][C]Trim. Kurtosis (10/500)[/C]-0.564200[/C]0.011000[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.029300[/C]0.787200[/C][C]Trim. Kurtosis (11/500)[/C]-0.582600[/C]0.008800[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.030800[/C]0.779400[/C][C]Trim. Kurtosis (12/500)[/C]-0.601400[/C]0.007000[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.032200[/C]0.771800[/C][C]Trim. Kurtosis (13/500)[/C]-0.621000[/C]0.005400[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.032100[/C]0.771800[/C][C]Trim. Kurtosis (14/500)[/C]-0.638100[/C]0.004400[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.031600[/C]0.771800[/C][C]Trim. Kurtosis (15/500)[/C]-0.657200[/C]0.003400[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.032900[/C]0.764200[/C][C]Trim. Kurtosis (16/500)[/C]-0.673900[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.033000[/C]0.764200[/C][C]Trim. Kurtosis (17/500)[/C]-0.690100[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.033100[/C]0.764200[/C][C]Trim. Kurtosis (18/500)[/C]-0.708000[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]0.032400[/C]0.771800[/C][C]Trim. Kurtosis (19/500)[/C]-0.725400[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]0.032900[/C]0.771800[/C][C]Trim. Kurtosis (20/500)[/C]-0.739200[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]0.032800[/C]0.771800[/C][C]Trim. Kurtosis (21/500)[/C]-0.752400[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]0.033900[/C]0.764200[/C][C]Trim. Kurtosis (22/500)[/C]-0.764700[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]0.035100[/C]0.756600[/C][C]Trim. Kurtosis (23/500)[/C]-0.777700[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]0.037500[/C]0.741400[/C][C]Trim. Kurtosis (24/500)[/C]-0.789700[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]0.038700[/C]0.733800[/C][C]Trim. Kurtosis (25/500)[/C]-0.799500[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]0.040600[/C]0.718800[/C][C]Trim. Kurtosis (26/500)[/C]-0.809900[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]0.042200[/C]0.711400[/C][C]Trim. Kurtosis (27/500)[/C]-0.820000[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]0.042700[/C]0.711400[/C][C]Trim. Kurtosis (28/500)[/C]-0.829100[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]0.042900[/C]0.711400[/C][C]Trim. Kurtosis (29/500)[/C]-0.837200[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]0.043300[/C]0.704000[/C][C]Trim. Kurtosis (30/500)[/C]-0.845500[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.042600[/C]0.711400[/C][C]Trim. Kurtosis (31/500)[/C]-0.850800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.041700[/C]0.718800[/C][C]Trim. Kurtosis (32/500)[/C]-0.856900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.041100[/C]0.718800[/C][C]Trim. Kurtosis (33/500)[/C]-0.861800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.041200[/C]0.718800[/C][C]Trim. Kurtosis (34/500)[/C]-0.865700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.041300[/C]0.718800[/C][C]Trim. Kurtosis (35/500)[/C]-0.870500[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.041100[/C]0.726400[/C][C]Trim. Kurtosis (36/500)[/C]-0.875700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.041100[/C]0.726400[/C][C]Trim. Kurtosis (37/500)[/C]-0.881700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.041300[/C]0.726400[/C][C]Trim. Kurtosis (38/500)[/C]-0.887700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.041300[/C]0.726400[/C][C]Trim. Kurtosis (39/500)[/C]-0.894300[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.041700[/C]0.718800[/C][C]Trim. Kurtosis (40/500)[/C]-0.900100[/C]0.000200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103733&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103733&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)0.0717000.509200Trim. Kurtosis (0/500)0.0607000.779400
Trim. Skewness (1/500)0.0312000.771800Trim. Kurtosis (1/500)-0.1720000.429600
Trim. Skewness (2/500)0.0130000.904400Trim. Kurtosis (2/500)-0.2827000.193600
Trim. Skewness (3/500)0.0087000.936200Trim. Kurtosis (3/500)-0.3556000.103200
Trim. Skewness (4/500)0.0069000.944200Trim. Kurtosis (4/500)-0.4052000.064400
Trim. Skewness (5/500)0.0083000.936200Trim. Kurtosis (5/500)-0.4411000.044400
Trim. Skewness (6/500)0.0139000.896600Trim. Kurtosis (6/500)-0.4728000.031600
Trim. Skewness (7/500)0.0186000.865000Trim. Kurtosis (7/500)-0.5020000.022600
Trim. Skewness (8/500)0.0213000.841400Trim. Kurtosis (8/500)-0.5264000.017400
Trim. Skewness (9/500)0.0244000.825800Trim. Kurtosis (9/500)-0.5447000.013800
Trim. Skewness (10/500)0.0267000.810400Trim. Kurtosis (10/500)-0.5642000.011000
Trim. Skewness (11/500)0.0293000.787200Trim. Kurtosis (11/500)-0.5826000.008800
Trim. Skewness (12/500)0.0308000.779400Trim. Kurtosis (12/500)-0.6014000.007000
Trim. Skewness (13/500)0.0322000.771800Trim. Kurtosis (13/500)-0.6210000.005400
Trim. Skewness (14/500)0.0321000.771800Trim. Kurtosis (14/500)-0.6381000.004400
Trim. Skewness (15/500)0.0316000.771800Trim. Kurtosis (15/500)-0.6572000.003400
Trim. Skewness (16/500)0.0329000.764200Trim. Kurtosis (16/500)-0.6739000.002600
Trim. Skewness (17/500)0.0330000.764200Trim. Kurtosis (17/500)-0.6901000.002200
Trim. Skewness (18/500)0.0331000.764200Trim. Kurtosis (18/500)-0.7080000.001800
Trim. Skewness (19/500)0.0324000.771800Trim. Kurtosis (19/500)-0.7254000.001400
Trim. Skewness (20/500)0.0329000.771800Trim. Kurtosis (20/500)-0.7392000.001200
Trim. Skewness (21/500)0.0328000.771800Trim. Kurtosis (21/500)-0.7524000.001000
Trim. Skewness (22/500)0.0339000.764200Trim. Kurtosis (22/500)-0.7647000.000800
Trim. Skewness (23/500)0.0351000.756600Trim. Kurtosis (23/500)-0.7777000.000600
Trim. Skewness (24/500)0.0375000.741400Trim. Kurtosis (24/500)-0.7897000.000600
Trim. Skewness (25/500)0.0387000.733800Trim. Kurtosis (25/500)-0.7995000.000400
Trim. Skewness (26/500)0.0406000.718800Trim. Kurtosis (26/500)-0.8099000.000400
Trim. Skewness (27/500)0.0422000.711400Trim. Kurtosis (27/500)-0.8200000.000400
Trim. Skewness (28/500)0.0427000.711400Trim. Kurtosis (28/500)-0.8291000.000400
Trim. Skewness (29/500)0.0429000.711400Trim. Kurtosis (29/500)-0.8372000.000200
Trim. Skewness (30/500)0.0433000.704000Trim. Kurtosis (30/500)-0.8455000.000200
Trim. Skewness (31/500)0.0426000.711400Trim. Kurtosis (31/500)-0.8508000.000200
Trim. Skewness (32/500)0.0417000.718800Trim. Kurtosis (32/500)-0.8569000.000200
Trim. Skewness (33/500)0.0411000.718800Trim. Kurtosis (33/500)-0.8618000.000200
Trim. Skewness (34/500)0.0412000.718800Trim. Kurtosis (34/500)-0.8657000.000200
Trim. Skewness (35/500)0.0413000.718800Trim. Kurtosis (35/500)-0.8705000.000200
Trim. Skewness (36/500)0.0411000.726400Trim. Kurtosis (36/500)-0.8757000.000200
Trim. Skewness (37/500)0.0411000.726400Trim. Kurtosis (37/500)-0.8817000.000200
Trim. Skewness (38/500)0.0413000.726400Trim. Kurtosis (38/500)-0.8877000.000200
Trim. Skewness (39/500)0.0413000.726400Trim. Kurtosis (39/500)-0.8943000.000200
Trim. Skewness (40/500)0.0417000.718800Trim. Kurtosis (40/500)-0.9001000.000200


Figures (Output of Computation)

Input Parameters & R Code

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