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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 computationWed, 01 Dec 2010 14:20:24 +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/Dec/01/t1291213099gie58p8lw69gbh1.htm/, Retrieved Sun, 05 May 2024 13:51:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104015, Retrieved Sun, 05 May 2024 13:51:55 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.000000FISHER 4th Cent. Mom.0.000000
FISHER beta 10.027338FISHER beta 24.364631
FISHER gamma 1-0.165341FISHER gamma 21.364631
FISHER gamma 1 (S.E.)0.109654FISHER gamma 2 (S.E.)0.219308
FISHER Test 1-1.507844FISHER Test 26.222428
FISHER Test 1 Probability0.131000FISHER Test 2 Probability0.000000
Pearson 2-0.123999
Yule using Quartile definition:Weighted Average at Xnp-0.070570
Yule using Quartile definition:Weighted Average at X(n+1)p-0.066853
Yule using Quartile definition:Empirical Distribution Function-0.066853
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.066853
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.060772
Yule using Quartile definition:Closest Observation-0.067367
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.066853
Yule using Quartile definition:MS Excel (old versions)-0.066853
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.165840Kurtosis (small sample)1.390525
Skewness S.E. (small sample)0.109327Kurtosis S.E. (small sample)0.218222
TEST 1 (small sample)-1.516928TEST 1 (small sample)6.372058
TEST 1 Prob. (small sample)0.128600TEST 1 Prob. (small sample)0.000000
Observations499

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-0.000000 & FISHER 4th Cent. Mom.0.000000 \tabularnewline FISHER beta 10.027338 & FISHER beta 24.364631 \tabularnewline FISHER gamma 1-0.165341 & FISHER gamma 21.364631 \tabularnewline FISHER gamma 1 (S.E.)0.109654 & FISHER gamma 2 (S.E.)0.219308 \tabularnewline FISHER Test 1-1.507844 & FISHER Test 26.222428 \tabularnewline FISHER Test 1 Probability0.131000 & FISHER Test 2 Probability0.000000 \tabularnewline Pearson 2-0.123999 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.070570 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.066853 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.066853 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.066853 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.060772 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.067367 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.066853 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.066853 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.165840 & Kurtosis (small sample)1.390525 \tabularnewline Skewness S.E. (small sample)0.109327 & Kurtosis S.E. (small sample)0.218222 \tabularnewline TEST 1 (small sample)-1.516928 & TEST 1 (small sample)6.372058 \tabularnewline TEST 1 Prob. (small sample)0.128600 & TEST 1 Prob. (small sample)0.000000 \tabularnewline Observations499 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=104015&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]-0.000000[/C][C]FISHER 4th Cent. Mom.[/C]0.000000[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.027338[/C][C]FISHER beta 2[/C]4.364631[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.165341[/C][C]FISHER gamma 2[/C]1.364631[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.109654[/C][C]FISHER gamma 2 (S.E.)[/C]0.219308[/C][/ROW] [ROW][C]FISHER Test 1[/C]-1.507844[/C][C]FISHER Test 2[/C]6.222428[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.131000[/C][C]FISHER Test 2 Probability[/C]0.000000[/C][/ROW] [ROW][C]Pearson 2[/C]-0.123999[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.070570[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.066853[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.066853[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.066853[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.060772[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.067367[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.066853[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.066853[/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]-0.165840[/C][C]Kurtosis (small sample)[/C]1.390525[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.109327[/C][C]Kurtosis S.E. (small sample)[/C]0.218222[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]-1.516928[/C][C]TEST 1 (small sample)[/C]6.372058[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.128600[/C][C]TEST 1 Prob. (small sample)[/C]0.000000[/C][/ROW] [ROW][C]Observations[/C]499[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=104015&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104015&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.-0.000000FISHER 4th Cent. Mom.0.000000
FISHER beta 10.027338FISHER beta 24.364631
FISHER gamma 1-0.165341FISHER gamma 21.364631
FISHER gamma 1 (S.E.)0.109654FISHER gamma 2 (S.E.)0.219308
FISHER Test 1-1.507844FISHER Test 26.222428
FISHER Test 1 Probability0.131000FISHER Test 2 Probability0.000000
Pearson 2-0.123999
Yule using Quartile definition:Weighted Average at Xnp-0.070570
Yule using Quartile definition:Weighted Average at X(n+1)p-0.066853
Yule using Quartile definition:Empirical Distribution Function-0.066853
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.066853
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.060772
Yule using Quartile definition:Closest Observation-0.067367
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.066853
Yule using Quartile definition:MS Excel (old versions)-0.066853
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.165840Kurtosis (small sample)1.390525
Skewness S.E. (small sample)0.109327Kurtosis S.E. (small sample)0.218222
TEST 1 (small sample)-1.516928TEST 1 (small sample)6.372058
TEST 1 Prob. (small sample)0.128600TEST 1 Prob. (small sample)0.000000
Observations499






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/499)-0.1658000.128600Trim. Kurtosis (0/499)1.3905000.000000
Trim. Skewness (1/499)-0.2031000.062800Trim. Kurtosis (1/499)0.9754000.000000
Trim. Skewness (2/499)-0.2619000.016800Trim. Kurtosis (2/499)0.5897000.007000
Trim. Skewness (3/499)-0.2750000.012400Trim. Kurtosis (3/499)0.3275000.133600
Trim. Skewness (4/499)-0.2531000.021400Trim. Kurtosis (4/499)0.1524000.484000
Trim. Skewness (5/499)-0.2225000.043400Trim. Kurtosis (5/499)0.0211000.920400
Trim. Skewness (6/499)-0.2065000.061400Trim. Kurtosis (6/499)-0.0634000.771800
Trim. Skewness (7/499)-0.1971000.075000Trim. Kurtosis (7/499)-0.1230000.575400
Trim. Skewness (8/499)-0.1902000.085400Trim. Kurtosis (8/499)-0.1821000.406600
Trim. Skewness (9/499)-0.1851000.095000Trim. Kurtosis (9/499)-0.2349000.289200
Trim. Skewness (10/499)-0.1845000.097000Trim. Kurtosis (10/499)-0.2730000.218600
Trim. Skewness (11/499)-0.1877000.093000Trim. Kurtosis (11/499)-0.3064000.167600
Trim. Skewness (12/499)-0.1929000.083600Trim. Kurtosis (12/499)-0.3401000.126000
Trim. Skewness (13/499)-0.1978000.076800Trim. Kurtosis (13/499)-0.3731000.095000
Trim. Skewness (14/499)-0.1996000.075000Trim. Kurtosis (14/499)-0.3957000.076800
Trim. Skewness (15/499)-0.1993000.076800Trim. Kurtosis (15/499)-0.4159000.064400
Trim. Skewness (16/499)-0.1971000.080200Trim. Kurtosis (16/499)-0.4365000.052400
Trim. Skewness (17/499)-0.1944000.085400Trim. Kurtosis (17/499)-0.4549000.043400
Trim. Skewness (18/499)-0.1918000.089200Trim. Kurtosis (18/499)-0.4690000.037600
Trim. Skewness (19/499)-0.1894000.095000Trim. Kurtosis (19/499)-0.4841000.032400
Trim. Skewness (20/499)-0.1869000.101000Trim. Kurtosis (20/499)-0.4988000.027800
Trim. Skewness (21/499)-0.1840000.105200Trim. Kurtosis (21/499)-0.5160000.023200
Trim. Skewness (22/499)-0.1801000.114200Trim. Kurtosis (22/499)-0.5328000.019200
Trim. Skewness (23/499)-0.1783000.118800Trim. Kurtosis (23/499)-0.5462000.016800
Trim. Skewness (24/499)-0.1754000.126000Trim. Kurtosis (24/499)-0.5576000.014600
Trim. Skewness (25/499)-0.1729000.131000Trim. Kurtosis (25/499)-0.5689000.013200
Trim. Skewness (26/499)-0.1701000.138800Trim. Kurtosis (26/499)-0.5808000.011400
Trim. Skewness (27/499)-0.1673000.147000Trim. Kurtosis (27/499)-0.5904000.010400
Trim. Skewness (28/499)-0.1647000.152800Trim. Kurtosis (28/499)-0.6002000.009400
Trim. Skewness (29/499)-0.1628000.158600Trim. Kurtosis (29/499)-0.6099000.008600
Trim. Skewness (30/499)-0.1609000.164600Trim. Kurtosis (30/499)-0.6182000.007800
Trim. Skewness (31/499)-0.1592000.170600Trim. Kurtosis (31/499)-0.6267000.007200
Trim. Skewness (32/499)-0.1571000.177000Trim. Kurtosis (32/499)-0.6344000.006600
Trim. Skewness (33/499)-0.1561000.180200Trim. Kurtosis (33/499)-0.6405000.006200
Trim. Skewness (34/499)-0.1557000.183600Trim. Kurtosis (34/499)-0.6471000.005800
Trim. Skewness (35/499)-0.1553000.186800Trim. Kurtosis (35/499)-0.6537000.005400
Trim. Skewness (36/499)-0.1546000.190200Trim. Kurtosis (36/499)-0.6616000.005000
Trim. Skewness (37/499)-0.1534000.193600Trim. Kurtosis (37/499)-0.6690000.004600
Trim. Skewness (38/499)-0.1533000.193600Trim. Kurtosis (38/499)-0.6755000.004200
Trim. Skewness (39/499)-0.1530000.197000Trim. Kurtosis (39/499)-0.6823000.004000
Trim. Skewness (40/499)-0.1526000.200600Trim. Kurtosis (40/499)-0.6878000.003800

\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 (0/499)-0.1658000.128600 & Trim. Kurtosis (0/499)1.3905000.000000 \tabularnewline Trim. Skewness (1/499)-0.2031000.062800 & Trim. Kurtosis (1/499)0.9754000.000000 \tabularnewline Trim. Skewness (2/499)-0.2619000.016800 & Trim. Kurtosis (2/499)0.5897000.007000 \tabularnewline Trim. Skewness (3/499)-0.2750000.012400 & Trim. Kurtosis (3/499)0.3275000.133600 \tabularnewline Trim. Skewness (4/499)-0.2531000.021400 & Trim. Kurtosis (4/499)0.1524000.484000 \tabularnewline Trim. Skewness (5/499)-0.2225000.043400 & Trim. Kurtosis (5/499)0.0211000.920400 \tabularnewline Trim. Skewness (6/499)-0.2065000.061400 & Trim. Kurtosis (6/499)-0.0634000.771800 \tabularnewline Trim. Skewness (7/499)-0.1971000.075000 & Trim. Kurtosis (7/499)-0.1230000.575400 \tabularnewline Trim. Skewness (8/499)-0.1902000.085400 & Trim. Kurtosis (8/499)-0.1821000.406600 \tabularnewline Trim. Skewness (9/499)-0.1851000.095000 & Trim. Kurtosis (9/499)-0.2349000.289200 \tabularnewline Trim. Skewness (10/499)-0.1845000.097000 & Trim. Kurtosis (10/499)-0.2730000.218600 \tabularnewline Trim. Skewness (11/499)-0.1877000.093000 & Trim. Kurtosis (11/499)-0.3064000.167600 \tabularnewline Trim. Skewness (12/499)-0.1929000.083600 & Trim. Kurtosis (12/499)-0.3401000.126000 \tabularnewline Trim. Skewness (13/499)-0.1978000.076800 & Trim. Kurtosis (13/499)-0.3731000.095000 \tabularnewline Trim. Skewness (14/499)-0.1996000.075000 & Trim. Kurtosis (14/499)-0.3957000.076800 \tabularnewline Trim. Skewness (15/499)-0.1993000.076800 & Trim. Kurtosis (15/499)-0.4159000.064400 \tabularnewline Trim. Skewness (16/499)-0.1971000.080200 & Trim. Kurtosis (16/499)-0.4365000.052400 \tabularnewline Trim. Skewness (17/499)-0.1944000.085400 & Trim. Kurtosis (17/499)-0.4549000.043400 \tabularnewline Trim. Skewness (18/499)-0.1918000.089200 & Trim. Kurtosis (18/499)-0.4690000.037600 \tabularnewline Trim. Skewness (19/499)-0.1894000.095000 & Trim. Kurtosis (19/499)-0.4841000.032400 \tabularnewline Trim. Skewness (20/499)-0.1869000.101000 & Trim. Kurtosis (20/499)-0.4988000.027800 \tabularnewline Trim. Skewness (21/499)-0.1840000.105200 & Trim. Kurtosis (21/499)-0.5160000.023200 \tabularnewline Trim. Skewness (22/499)-0.1801000.114200 & Trim. Kurtosis (22/499)-0.5328000.019200 \tabularnewline Trim. Skewness (23/499)-0.1783000.118800 & Trim. Kurtosis (23/499)-0.5462000.016800 \tabularnewline Trim. Skewness (24/499)-0.1754000.126000 & Trim. Kurtosis (24/499)-0.5576000.014600 \tabularnewline Trim. Skewness (25/499)-0.1729000.131000 & Trim. Kurtosis (25/499)-0.5689000.013200 \tabularnewline Trim. Skewness (26/499)-0.1701000.138800 & Trim. Kurtosis (26/499)-0.5808000.011400 \tabularnewline Trim. Skewness (27/499)-0.1673000.147000 & Trim. Kurtosis (27/499)-0.5904000.010400 \tabularnewline Trim. Skewness (28/499)-0.1647000.152800 & Trim. Kurtosis (28/499)-0.6002000.009400 \tabularnewline Trim. Skewness (29/499)-0.1628000.158600 & Trim. Kurtosis (29/499)-0.6099000.008600 \tabularnewline Trim. Skewness (30/499)-0.1609000.164600 & Trim. Kurtosis (30/499)-0.6182000.007800 \tabularnewline Trim. Skewness (31/499)-0.1592000.170600 & Trim. Kurtosis (31/499)-0.6267000.007200 \tabularnewline Trim. Skewness (32/499)-0.1571000.177000 & Trim. Kurtosis (32/499)-0.6344000.006600 \tabularnewline Trim. Skewness (33/499)-0.1561000.180200 & Trim. Kurtosis (33/499)-0.6405000.006200 \tabularnewline Trim. Skewness (34/499)-0.1557000.183600 & Trim. Kurtosis (34/499)-0.6471000.005800 \tabularnewline Trim. Skewness (35/499)-0.1553000.186800 & Trim. Kurtosis (35/499)-0.6537000.005400 \tabularnewline Trim. Skewness (36/499)-0.1546000.190200 & Trim. Kurtosis (36/499)-0.6616000.005000 \tabularnewline Trim. Skewness (37/499)-0.1534000.193600 & Trim. Kurtosis (37/499)-0.6690000.004600 \tabularnewline Trim. Skewness (38/499)-0.1533000.193600 & Trim. Kurtosis (38/499)-0.6755000.004200 \tabularnewline Trim. Skewness (39/499)-0.1530000.197000 & Trim. Kurtosis (39/499)-0.6823000.004000 \tabularnewline Trim. Skewness (40/499)-0.1526000.200600 & Trim. Kurtosis (40/499)-0.6878000.003800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=104015&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 (0/499)[/C]-0.165800[/C]0.128600[/C][C]Trim. Kurtosis (0/499)[/C]1.390500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (1/499)[/C]-0.203100[/C]0.062800[/C][C]Trim. Kurtosis (1/499)[/C]0.975400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (2/499)[/C]-0.261900[/C]0.016800[/C][C]Trim. Kurtosis (2/499)[/C]0.589700[/C]0.007000[/C][/ROW] [ROW][C]Trim. Skewness (3/499)[/C]-0.275000[/C]0.012400[/C][C]Trim. Kurtosis (3/499)[/C]0.327500[/C]0.133600[/C][/ROW] [ROW][C]Trim. Skewness (4/499)[/C]-0.253100[/C]0.021400[/C][C]Trim. Kurtosis (4/499)[/C]0.152400[/C]0.484000[/C][/ROW] [ROW][C]Trim. Skewness (5/499)[/C]-0.222500[/C]0.043400[/C][C]Trim. Kurtosis (5/499)[/C]0.021100[/C]0.920400[/C][/ROW] [ROW][C]Trim. Skewness (6/499)[/C]-0.206500[/C]0.061400[/C][C]Trim. Kurtosis (6/499)[/C]-0.063400[/C]0.771800[/C][/ROW] [ROW][C]Trim. Skewness (7/499)[/C]-0.197100[/C]0.075000[/C][C]Trim. Kurtosis (7/499)[/C]-0.123000[/C]0.575400[/C][/ROW] [ROW][C]Trim. Skewness (8/499)[/C]-0.190200[/C]0.085400[/C][C]Trim. Kurtosis (8/499)[/C]-0.182100[/C]0.406600[/C][/ROW] [ROW][C]Trim. Skewness (9/499)[/C]-0.185100[/C]0.095000[/C][C]Trim. Kurtosis (9/499)[/C]-0.234900[/C]0.289200[/C][/ROW] [ROW][C]Trim. Skewness (10/499)[/C]-0.184500[/C]0.097000[/C][C]Trim. Kurtosis (10/499)[/C]-0.273000[/C]0.218600[/C][/ROW] [ROW][C]Trim. Skewness (11/499)[/C]-0.187700[/C]0.093000[/C][C]Trim. Kurtosis (11/499)[/C]-0.306400[/C]0.167600[/C][/ROW] [ROW][C]Trim. Skewness (12/499)[/C]-0.192900[/C]0.083600[/C][C]Trim. Kurtosis (12/499)[/C]-0.340100[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (13/499)[/C]-0.197800[/C]0.076800[/C][C]Trim. Kurtosis (13/499)[/C]-0.373100[/C]0.095000[/C][/ROW] [ROW][C]Trim. Skewness (14/499)[/C]-0.199600[/C]0.075000[/C][C]Trim. Kurtosis (14/499)[/C]-0.395700[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (15/499)[/C]-0.199300[/C]0.076800[/C][C]Trim. Kurtosis (15/499)[/C]-0.415900[/C]0.064400[/C][/ROW] [ROW][C]Trim. Skewness (16/499)[/C]-0.197100[/C]0.080200[/C][C]Trim. Kurtosis (16/499)[/C]-0.436500[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (17/499)[/C]-0.194400[/C]0.085400[/C][C]Trim. Kurtosis (17/499)[/C]-0.454900[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (18/499)[/C]-0.191800[/C]0.089200[/C][C]Trim. Kurtosis (18/499)[/C]-0.469000[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (19/499)[/C]-0.189400[/C]0.095000[/C][C]Trim. Kurtosis (19/499)[/C]-0.484100[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (20/499)[/C]-0.186900[/C]0.101000[/C][C]Trim. Kurtosis (20/499)[/C]-0.498800[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (21/499)[/C]-0.184000[/C]0.105200[/C][C]Trim. Kurtosis (21/499)[/C]-0.516000[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (22/499)[/C]-0.180100[/C]0.114200[/C][C]Trim. Kurtosis (22/499)[/C]-0.532800[/C]0.019200[/C][/ROW] [ROW][C]Trim. Skewness (23/499)[/C]-0.178300[/C]0.118800[/C][C]Trim. Kurtosis (23/499)[/C]-0.546200[/C]0.016800[/C][/ROW] [ROW][C]Trim. Skewness (24/499)[/C]-0.175400[/C]0.126000[/C][C]Trim. Kurtosis (24/499)[/C]-0.557600[/C]0.014600[/C][/ROW] [ROW][C]Trim. Skewness (25/499)[/C]-0.172900[/C]0.131000[/C][C]Trim. Kurtosis (25/499)[/C]-0.568900[/C]0.013200[/C][/ROW] [ROW][C]Trim. Skewness (26/499)[/C]-0.170100[/C]0.138800[/C][C]Trim. Kurtosis (26/499)[/C]-0.580800[/C]0.011400[/C][/ROW] [ROW][C]Trim. Skewness (27/499)[/C]-0.167300[/C]0.147000[/C][C]Trim. Kurtosis (27/499)[/C]-0.590400[/C]0.010400[/C][/ROW] [ROW][C]Trim. Skewness (28/499)[/C]-0.164700[/C]0.152800[/C][C]Trim. Kurtosis (28/499)[/C]-0.600200[/C]0.009400[/C][/ROW] [ROW][C]Trim. Skewness (29/499)[/C]-0.162800[/C]0.158600[/C][C]Trim. Kurtosis (29/499)[/C]-0.609900[/C]0.008600[/C][/ROW] [ROW][C]Trim. Skewness (30/499)[/C]-0.160900[/C]0.164600[/C][C]Trim. Kurtosis (30/499)[/C]-0.618200[/C]0.007800[/C][/ROW] [ROW][C]Trim. Skewness (31/499)[/C]-0.159200[/C]0.170600[/C][C]Trim. Kurtosis (31/499)[/C]-0.626700[/C]0.007200[/C][/ROW] [ROW][C]Trim. Skewness (32/499)[/C]-0.157100[/C]0.177000[/C][C]Trim. Kurtosis (32/499)[/C]-0.634400[/C]0.006600[/C][/ROW] [ROW][C]Trim. Skewness (33/499)[/C]-0.156100[/C]0.180200[/C][C]Trim. Kurtosis (33/499)[/C]-0.640500[/C]0.006200[/C][/ROW] [ROW][C]Trim. Skewness (34/499)[/C]-0.155700[/C]0.183600[/C][C]Trim. Kurtosis (34/499)[/C]-0.647100[/C]0.005800[/C][/ROW] [ROW][C]Trim. Skewness (35/499)[/C]-0.155300[/C]0.186800[/C][C]Trim. Kurtosis (35/499)[/C]-0.653700[/C]0.005400[/C][/ROW] [ROW][C]Trim. Skewness (36/499)[/C]-0.154600[/C]0.190200[/C][C]Trim. Kurtosis (36/499)[/C]-0.661600[/C]0.005000[/C][/ROW] [ROW][C]Trim. Skewness (37/499)[/C]-0.153400[/C]0.193600[/C][C]Trim. Kurtosis (37/499)[/C]-0.669000[/C]0.004600[/C][/ROW] [ROW][C]Trim. Skewness (38/499)[/C]-0.153300[/C]0.193600[/C][C]Trim. Kurtosis (38/499)[/C]-0.675500[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (39/499)[/C]-0.153000[/C]0.197000[/C][C]Trim. Kurtosis (39/499)[/C]-0.682300[/C]0.004000[/C][/ROW] [ROW][C]Trim. Skewness (40/499)[/C]-0.152600[/C]0.200600[/C][C]Trim. Kurtosis (40/499)[/C]-0.687800[/C]0.003800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=104015&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104015&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 (0/499)-0.1658000.128600Trim. Kurtosis (0/499)1.3905000.000000
Trim. Skewness (1/499)-0.2031000.062800Trim. Kurtosis (1/499)0.9754000.000000
Trim. Skewness (2/499)-0.2619000.016800Trim. Kurtosis (2/499)0.5897000.007000
Trim. Skewness (3/499)-0.2750000.012400Trim. Kurtosis (3/499)0.3275000.133600
Trim. Skewness (4/499)-0.2531000.021400Trim. Kurtosis (4/499)0.1524000.484000
Trim. Skewness (5/499)-0.2225000.043400Trim. Kurtosis (5/499)0.0211000.920400
Trim. Skewness (6/499)-0.2065000.061400Trim. Kurtosis (6/499)-0.0634000.771800
Trim. Skewness (7/499)-0.1971000.075000Trim. Kurtosis (7/499)-0.1230000.575400
Trim. Skewness (8/499)-0.1902000.085400Trim. Kurtosis (8/499)-0.1821000.406600
Trim. Skewness (9/499)-0.1851000.095000Trim. Kurtosis (9/499)-0.2349000.289200
Trim. Skewness (10/499)-0.1845000.097000Trim. Kurtosis (10/499)-0.2730000.218600
Trim. Skewness (11/499)-0.1877000.093000Trim. Kurtosis (11/499)-0.3064000.167600
Trim. Skewness (12/499)-0.1929000.083600Trim. Kurtosis (12/499)-0.3401000.126000
Trim. Skewness (13/499)-0.1978000.076800Trim. Kurtosis (13/499)-0.3731000.095000
Trim. Skewness (14/499)-0.1996000.075000Trim. Kurtosis (14/499)-0.3957000.076800
Trim. Skewness (15/499)-0.1993000.076800Trim. Kurtosis (15/499)-0.4159000.064400
Trim. Skewness (16/499)-0.1971000.080200Trim. Kurtosis (16/499)-0.4365000.052400
Trim. Skewness (17/499)-0.1944000.085400Trim. Kurtosis (17/499)-0.4549000.043400
Trim. Skewness (18/499)-0.1918000.089200Trim. Kurtosis (18/499)-0.4690000.037600
Trim. Skewness (19/499)-0.1894000.095000Trim. Kurtosis (19/499)-0.4841000.032400
Trim. Skewness (20/499)-0.1869000.101000Trim. Kurtosis (20/499)-0.4988000.027800
Trim. Skewness (21/499)-0.1840000.105200Trim. Kurtosis (21/499)-0.5160000.023200
Trim. Skewness (22/499)-0.1801000.114200Trim. Kurtosis (22/499)-0.5328000.019200
Trim. Skewness (23/499)-0.1783000.118800Trim. Kurtosis (23/499)-0.5462000.016800
Trim. Skewness (24/499)-0.1754000.126000Trim. Kurtosis (24/499)-0.5576000.014600
Trim. Skewness (25/499)-0.1729000.131000Trim. Kurtosis (25/499)-0.5689000.013200
Trim. Skewness (26/499)-0.1701000.138800Trim. Kurtosis (26/499)-0.5808000.011400
Trim. Skewness (27/499)-0.1673000.147000Trim. Kurtosis (27/499)-0.5904000.010400
Trim. Skewness (28/499)-0.1647000.152800Trim. Kurtosis (28/499)-0.6002000.009400
Trim. Skewness (29/499)-0.1628000.158600Trim. Kurtosis (29/499)-0.6099000.008600
Trim. Skewness (30/499)-0.1609000.164600Trim. Kurtosis (30/499)-0.6182000.007800
Trim. Skewness (31/499)-0.1592000.170600Trim. Kurtosis (31/499)-0.6267000.007200
Trim. Skewness (32/499)-0.1571000.177000Trim. Kurtosis (32/499)-0.6344000.006600
Trim. Skewness (33/499)-0.1561000.180200Trim. Kurtosis (33/499)-0.6405000.006200
Trim. Skewness (34/499)-0.1557000.183600Trim. Kurtosis (34/499)-0.6471000.005800
Trim. Skewness (35/499)-0.1553000.186800Trim. Kurtosis (35/499)-0.6537000.005400
Trim. Skewness (36/499)-0.1546000.190200Trim. Kurtosis (36/499)-0.6616000.005000
Trim. Skewness (37/499)-0.1534000.193600Trim. Kurtosis (37/499)-0.6690000.004600
Trim. Skewness (38/499)-0.1533000.193600Trim. Kurtosis (38/499)-0.6755000.004200
Trim. Skewness (39/499)-0.1530000.197000Trim. Kurtosis (39/499)-0.6823000.004000
Trim. Skewness (40/499)-0.1526000.200600Trim. Kurtosis (40/499)-0.6878000.003800


Figures (Output of Computation)

Input Parameters & R Code

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