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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 18:32:44 +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/t1291141847nh80qf41rmsv917.htm/, Retrieved Mon, 29 Apr 2024 11:59:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103718, Retrieved Mon, 29 Apr 2024 11:59:11 +0000
QR Codes:

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 18:32:44] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
61,36
58,00
62,12
62,11
62,92
60,70
58,74
61,33
62,15
62,06
54,87
61,63
62,96
58,60
62,04
59,31
59,14
58,52
63,37
59,45
60,42
61,24
59,20
60,75
60,54
57,57
62,06
61,41
59,63
60,30
60,00
61,95
59,54
64,01
58,24
61,18
59,99
57,00
60,14
57,78
60,21
62,63
58,78
58,17
60,87
60,83
59,80
61,07
57,03
61,10
63,73
64,96
65,24
61,24
56,14
60,12
62,16
62,06
57,30
58,76
59,42
60,55
58,16
59,66
59,10
58,97
56,11
59,47
60,19
61,08
57,10
60,68
61,22
61,31
61,26
59,90
61,64
55,94
62,83
61,08
59,55
58,58
59,36
61,15
61,93
61,72
62,56
58,41
61,38
60,14
59,01
56,17
60,51
60,97
58,45
57,23
60,12
58,04
58,87
60,45
60,95
57,61
59,10
59,14
57,80
59,70
62,53
59,91
62,56
63,07
58,50
57,33
59,38
61,49
60,02
62,53
60,87
62,06
61,93
60,53

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.130621FISHER 4th Cent. Mom.41.566614
FISHER beta 10.024179FISHER beta 22.950854
FISHER gamma 1-0.155496FISHER gamma 2-0.049146
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.695400FISHER Test 2-0.109893
FISHER Test 1 Probability0.484000FISHER Test 2 Probability0.912400
Pearson 2-0.087256
Yule using Quartile definition:Weighted Average at Xnp-0.090551
Yule using Quartile definition:Weighted Average at X(n+1)p-0.056311
Yule using Quartile definition:Empirical Distribution Function-0.090551
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.055336
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.054326
Yule using Quartile definition:Closest Observation-0.090551
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.054326
Yule using Quartile definition:MS Excel (old versions)-0.057252
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.157471Kurtosis (small sample)0.000460
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.712932TEST 1 (small sample)0.001050
TEST 1 Prob. (small sample)0.471600TEST 1 Prob. (small sample)0.992000
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-1.130621 & FISHER 4th Cent. Mom.41.566614 \tabularnewline FISHER beta 10.024179 & FISHER beta 22.950854 \tabularnewline FISHER gamma 1-0.155496 & FISHER gamma 2-0.049146 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-0.695400 & FISHER Test 2-0.109893 \tabularnewline FISHER Test 1 Probability0.484000 & FISHER Test 2 Probability0.912400 \tabularnewline Pearson 2-0.087256 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.090551 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.056311 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.090551 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.055336 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.054326 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.090551 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.054326 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.057252 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.157471 & Kurtosis (small sample)0.000460 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-0.712932 & TEST 1 (small sample)0.001050 \tabularnewline TEST 1 Prob. (small sample)0.471600 & TEST 1 Prob. (small sample)0.992000 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103718&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]-1.130621[/C][C]FISHER 4th Cent. Mom.[/C]41.566614[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.024179[/C][C]FISHER beta 2[/C]2.950854[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.155496[/C][C]FISHER gamma 2[/C]-0.049146[/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]-0.695400[/C][C]FISHER Test 2[/C]-0.109893[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.484000[/C][C]FISHER Test 2 Probability[/C]0.912400[/C][/ROW] [ROW][C]Pearson 2[/C]-0.087256[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.090551[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.056311[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.090551[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.055336[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.054326[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.090551[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.054326[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.057252[/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]-0.157471[/C][C]Kurtosis (small sample)[/C]0.000460[/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]-0.712932[/C][C]TEST 1 (small sample)[/C]0.001050[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.471600[/C][C]TEST 1 Prob. (small sample)[/C]0.992000[/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=103718&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103718&T=0

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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.-1.130621FISHER 4th Cent. Mom.41.566614
FISHER beta 10.024179FISHER beta 22.950854
FISHER gamma 1-0.155496FISHER gamma 2-0.049146
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.695400FISHER Test 2-0.109893
FISHER Test 1 Probability0.484000FISHER Test 2 Probability0.912400
Pearson 2-0.087256
Yule using Quartile definition:Weighted Average at Xnp-0.090551
Yule using Quartile definition:Weighted Average at X(n+1)p-0.056311
Yule using Quartile definition:Empirical Distribution Function-0.090551
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.055336
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.054326
Yule using Quartile definition:Closest Observation-0.090551
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.054326
Yule using Quartile definition:MS Excel (old versions)-0.057252
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.157471Kurtosis (small sample)0.000460
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.712932TEST 1 (small sample)0.001050
TEST 1 Prob. (small sample)0.471600TEST 1 Prob. (small sample)0.992000
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.1575000.471600Trim. Kurtosis (0/120)0.0005000.992000
Trim. Skewness (1/120)-0.1608000.465400Trim. Kurtosis (1/120)-0.3087000.484000
Trim. Skewness (2/120)-0.2297000.303000Trim. Kurtosis (2/120)-0.5030000.258400
Trim. Skewness (3/120)-0.2421000.284600Trim. Kurtosis (3/120)-0.5889000.186800
Trim. Skewness (4/120)-0.2368000.298400Trim. Kurtosis (4/120)-0.6984000.121200
Trim. Skewness (5/120)-0.2037000.373400Trim. Kurtosis (5/120)-0.8364000.065800
Trim. Skewness (6/120)-0.2052000.373400Trim. Kurtosis (6/120)-0.8491000.064400
Trim. Skewness (7/120)-0.2014000.389800Trim. Kurtosis (7/120)-0.8686000.061400
Trim. Skewness (8/120)-0.1974000.400800Trim. Kurtosis (8/120)-0.8968000.054800
Trim. Skewness (9/120)-0.1944000.412200Trim. Kurtosis (9/120)-0.9224000.051200
Trim. Skewness (10/120)-0.1821000.447200Trim. Kurtosis (10/120)-0.9455000.047800
Trim. Skewness (11/120)-0.1634000.496400Trim. Kurtosis (11/120)-0.9821000.041400
Trim. Skewness (12/120)-0.1578000.515600Trim. Kurtosis (12/120)-1.0023000.039400
Trim. Skewness (13/120)-0.1504000.541800Trim. Kurtosis (13/120)-1.0352000.034800
Trim. Skewness (14/120)-0.1540000.535200Trim. Kurtosis (14/120)-1.0649000.032400
Trim. Skewness (15/120)-0.1335000.596200Trim. Kurtosis (15/120)-1.0834000.030800
Trim. Skewness (16/120)-0.1232000.631200Trim. Kurtosis (16/120)-1.0844000.032400
Trim. Skewness (17/120)-0.1107000.667200Trim. Kurtosis (17/120)-1.0894000.034000
Trim. Skewness (18/120)-0.1037000.689200Trim. Kurtosis (18/120)-1.0882000.035800
Trim. Skewness (19/120)-0.0913000.726400Trim. Kurtosis (19/120)-1.0943000.036600
Trim. Skewness (20/120)-0.0814000.756600Trim. Kurtosis (20/120)-1.1037000.037600
Trim. Skewness (21/120)-0.0844000.749000Trim. Kurtosis (21/120)-1.1015000.040400
Trim. Skewness (22/120)-0.0915000.733800Trim. Kurtosis (22/120)-1.1075000.041400
Trim. Skewness (23/120)-0.1028000.711400Trim. Kurtosis (23/120)-1.1210000.041400
Trim. Skewness (24/120)-0.1080000.696600Trim. Kurtosis (24/120)-1.1375000.041400
Trim. Skewness (25/120)-0.1185000.674400Trim. Kurtosis (25/120)-1.1635000.039400
Trim. Skewness (26/120)-0.1343000.638400Trim. Kurtosis (26/120)-1.2194000.033200
Trim. Skewness (27/120)-0.1413000.631200Trim. Kurtosis (27/120)-1.2321000.034000
Trim. Skewness (28/120)-0.1410000.631200Trim. Kurtosis (28/120)-1.2485000.034000
Trim. Skewness (29/120)-0.1402000.638400Trim. Kurtosis (29/120)-1.2846000.031600
Trim. Skewness (30/120)-0.1319000.667200Trim. Kurtosis (30/120)-1.2998000.032400
Trim. Skewness (31/120)-0.1249000.689200Trim. Kurtosis (31/120)-1.2966000.035800
Trim. Skewness (32/120)-0.1163000.711400Trim. Kurtosis (32/120)-1.2933000.039400
Trim. Skewness (33/120)-0.1151000.718800Trim. Kurtosis (33/120)-1.2774000.045600
Trim. Skewness (34/120)-0.1073000.741400Trim. Kurtosis (34/120)-1.2685000.050000
Trim. Skewness (35/120)-0.0992000.764200Trim. Kurtosis (35/120)-1.2598000.056200
Trim. Skewness (36/120)-0.0768000.818000Trim. Kurtosis (36/120)-1.2643000.060200
Trim. Skewness (37/120)-0.0547000.872800Trim. Kurtosis (37/120)-1.2663000.064400
Trim. Skewness (38/120)-0.0507000.880800Trim. Kurtosis (38/120)-1.2479000.075000
Trim. Skewness (39/120)-0.0517000.880800Trim. Kurtosis (39/120)-1.2240000.087200
Trim. Skewness (40/120)-0.0466000.896600Trim. Kurtosis (40/120)-1.1994000.101000

\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)-0.1575000.471600 & Trim. Kurtosis (0/120)0.0005000.992000 \tabularnewline Trim. Skewness (1/120)-0.1608000.465400 & Trim. Kurtosis (1/120)-0.3087000.484000 \tabularnewline Trim. Skewness (2/120)-0.2297000.303000 & Trim. Kurtosis (2/120)-0.5030000.258400 \tabularnewline Trim. Skewness (3/120)-0.2421000.284600 & Trim. Kurtosis (3/120)-0.5889000.186800 \tabularnewline Trim. Skewness (4/120)-0.2368000.298400 & Trim. Kurtosis (4/120)-0.6984000.121200 \tabularnewline Trim. Skewness (5/120)-0.2037000.373400 & Trim. Kurtosis (5/120)-0.8364000.065800 \tabularnewline Trim. Skewness (6/120)-0.2052000.373400 & Trim. Kurtosis (6/120)-0.8491000.064400 \tabularnewline Trim. Skewness (7/120)-0.2014000.389800 & Trim. Kurtosis (7/120)-0.8686000.061400 \tabularnewline Trim. Skewness (8/120)-0.1974000.400800 & Trim. Kurtosis (8/120)-0.8968000.054800 \tabularnewline Trim. Skewness (9/120)-0.1944000.412200 & Trim. Kurtosis (9/120)-0.9224000.051200 \tabularnewline Trim. Skewness (10/120)-0.1821000.447200 & Trim. Kurtosis (10/120)-0.9455000.047800 \tabularnewline Trim. Skewness (11/120)-0.1634000.496400 & Trim. Kurtosis (11/120)-0.9821000.041400 \tabularnewline Trim. Skewness (12/120)-0.1578000.515600 & Trim. Kurtosis (12/120)-1.0023000.039400 \tabularnewline Trim. Skewness (13/120)-0.1504000.541800 & Trim. Kurtosis (13/120)-1.0352000.034800 \tabularnewline Trim. Skewness (14/120)-0.1540000.535200 & Trim. Kurtosis (14/120)-1.0649000.032400 \tabularnewline Trim. Skewness (15/120)-0.1335000.596200 & Trim. Kurtosis (15/120)-1.0834000.030800 \tabularnewline Trim. Skewness (16/120)-0.1232000.631200 & Trim. Kurtosis (16/120)-1.0844000.032400 \tabularnewline Trim. Skewness (17/120)-0.1107000.667200 & Trim. Kurtosis (17/120)-1.0894000.034000 \tabularnewline Trim. Skewness (18/120)-0.1037000.689200 & Trim. Kurtosis (18/120)-1.0882000.035800 \tabularnewline Trim. Skewness (19/120)-0.0913000.726400 & Trim. Kurtosis (19/120)-1.0943000.036600 \tabularnewline Trim. Skewness (20/120)-0.0814000.756600 & Trim. Kurtosis (20/120)-1.1037000.037600 \tabularnewline Trim. Skewness (21/120)-0.0844000.749000 & Trim. Kurtosis (21/120)-1.1015000.040400 \tabularnewline Trim. Skewness (22/120)-0.0915000.733800 & Trim. Kurtosis (22/120)-1.1075000.041400 \tabularnewline Trim. Skewness (23/120)-0.1028000.711400 & Trim. Kurtosis (23/120)-1.1210000.041400 \tabularnewline Trim. Skewness (24/120)-0.1080000.696600 & Trim. Kurtosis (24/120)-1.1375000.041400 \tabularnewline Trim. Skewness (25/120)-0.1185000.674400 & Trim. Kurtosis (25/120)-1.1635000.039400 \tabularnewline Trim. Skewness (26/120)-0.1343000.638400 & Trim. Kurtosis (26/120)-1.2194000.033200 \tabularnewline Trim. Skewness (27/120)-0.1413000.631200 & Trim. Kurtosis (27/120)-1.2321000.034000 \tabularnewline Trim. Skewness (28/120)-0.1410000.631200 & Trim. Kurtosis (28/120)-1.2485000.034000 \tabularnewline Trim. Skewness (29/120)-0.1402000.638400 & Trim. Kurtosis (29/120)-1.2846000.031600 \tabularnewline Trim. Skewness (30/120)-0.1319000.667200 & Trim. Kurtosis (30/120)-1.2998000.032400 \tabularnewline Trim. Skewness (31/120)-0.1249000.689200 & Trim. Kurtosis (31/120)-1.2966000.035800 \tabularnewline Trim. Skewness (32/120)-0.1163000.711400 & Trim. Kurtosis (32/120)-1.2933000.039400 \tabularnewline Trim. Skewness (33/120)-0.1151000.718800 & Trim. Kurtosis (33/120)-1.2774000.045600 \tabularnewline Trim. Skewness (34/120)-0.1073000.741400 & Trim. Kurtosis (34/120)-1.2685000.050000 \tabularnewline Trim. Skewness (35/120)-0.0992000.764200 & Trim. Kurtosis (35/120)-1.2598000.056200 \tabularnewline Trim. Skewness (36/120)-0.0768000.818000 & Trim. Kurtosis (36/120)-1.2643000.060200 \tabularnewline Trim. Skewness (37/120)-0.0547000.872800 & Trim. Kurtosis (37/120)-1.2663000.064400 \tabularnewline Trim. Skewness (38/120)-0.0507000.880800 & Trim. Kurtosis (38/120)-1.2479000.075000 \tabularnewline Trim. Skewness (39/120)-0.0517000.880800 & Trim. Kurtosis (39/120)-1.2240000.087200 \tabularnewline Trim. Skewness (40/120)-0.0466000.896600 & Trim. Kurtosis (40/120)-1.1994000.101000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103718&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]-0.157500[/C]0.471600[/C][C]Trim. Kurtosis (0/120)[/C]0.000500[/C]0.992000[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.160800[/C]0.465400[/C][C]Trim. Kurtosis (1/120)[/C]-0.308700[/C]0.484000[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.229700[/C]0.303000[/C][C]Trim. Kurtosis (2/120)[/C]-0.503000[/C]0.258400[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.242100[/C]0.284600[/C][C]Trim. Kurtosis (3/120)[/C]-0.588900[/C]0.186800[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.236800[/C]0.298400[/C][C]Trim. Kurtosis (4/120)[/C]-0.698400[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.203700[/C]0.373400[/C][C]Trim. Kurtosis (5/120)[/C]-0.836400[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.205200[/C]0.373400[/C][C]Trim. Kurtosis (6/120)[/C]-0.849100[/C]0.064400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.201400[/C]0.389800[/C][C]Trim. Kurtosis (7/120)[/C]-0.868600[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.197400[/C]0.400800[/C][C]Trim. Kurtosis (8/120)[/C]-0.896800[/C]0.054800[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.194400[/C]0.412200[/C][C]Trim. Kurtosis (9/120)[/C]-0.922400[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.182100[/C]0.447200[/C][C]Trim. Kurtosis (10/120)[/C]-0.945500[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.163400[/C]0.496400[/C][C]Trim. Kurtosis (11/120)[/C]-0.982100[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.157800[/C]0.515600[/C][C]Trim. Kurtosis (12/120)[/C]-1.002300[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.150400[/C]0.541800[/C][C]Trim. Kurtosis (13/120)[/C]-1.035200[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.154000[/C]0.535200[/C][C]Trim. Kurtosis (14/120)[/C]-1.064900[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.133500[/C]0.596200[/C][C]Trim. Kurtosis (15/120)[/C]-1.083400[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.123200[/C]0.631200[/C][C]Trim. Kurtosis (16/120)[/C]-1.084400[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.110700[/C]0.667200[/C][C]Trim. Kurtosis (17/120)[/C]-1.089400[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.103700[/C]0.689200[/C][C]Trim. Kurtosis (18/120)[/C]-1.088200[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.091300[/C]0.726400[/C][C]Trim. Kurtosis (19/120)[/C]-1.094300[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.081400[/C]0.756600[/C][C]Trim. Kurtosis (20/120)[/C]-1.103700[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.084400[/C]0.749000[/C][C]Trim. Kurtosis (21/120)[/C]-1.101500[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.091500[/C]0.733800[/C][C]Trim. Kurtosis (22/120)[/C]-1.107500[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.102800[/C]0.711400[/C][C]Trim. Kurtosis (23/120)[/C]-1.121000[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.108000[/C]0.696600[/C][C]Trim. Kurtosis (24/120)[/C]-1.137500[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.118500[/C]0.674400[/C][C]Trim. Kurtosis (25/120)[/C]-1.163500[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.134300[/C]0.638400[/C][C]Trim. Kurtosis (26/120)[/C]-1.219400[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.141300[/C]0.631200[/C][C]Trim. Kurtosis (27/120)[/C]-1.232100[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.141000[/C]0.631200[/C][C]Trim. Kurtosis (28/120)[/C]-1.248500[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.140200[/C]0.638400[/C][C]Trim. Kurtosis (29/120)[/C]-1.284600[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.131900[/C]0.667200[/C][C]Trim. Kurtosis (30/120)[/C]-1.299800[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.124900[/C]0.689200[/C][C]Trim. Kurtosis (31/120)[/C]-1.296600[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.116300[/C]0.711400[/C][C]Trim. Kurtosis (32/120)[/C]-1.293300[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.115100[/C]0.718800[/C][C]Trim. Kurtosis (33/120)[/C]-1.277400[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.107300[/C]0.741400[/C][C]Trim. Kurtosis (34/120)[/C]-1.268500[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.099200[/C]0.764200[/C][C]Trim. Kurtosis (35/120)[/C]-1.259800[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.076800[/C]0.818000[/C][C]Trim. Kurtosis (36/120)[/C]-1.264300[/C]0.060200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.054700[/C]0.872800[/C][C]Trim. Kurtosis (37/120)[/C]-1.266300[/C]0.064400[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.050700[/C]0.880800[/C][C]Trim. Kurtosis (38/120)[/C]-1.247900[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.051700[/C]0.880800[/C][C]Trim. Kurtosis (39/120)[/C]-1.224000[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.046600[/C]0.896600[/C][C]Trim. Kurtosis (40/120)[/C]-1.199400[/C]0.101000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103718&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103718&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)-0.1575000.471600Trim. Kurtosis (0/120)0.0005000.992000
Trim. Skewness (1/120)-0.1608000.465400Trim. Kurtosis (1/120)-0.3087000.484000
Trim. Skewness (2/120)-0.2297000.303000Trim. Kurtosis (2/120)-0.5030000.258400
Trim. Skewness (3/120)-0.2421000.284600Trim. Kurtosis (3/120)-0.5889000.186800
Trim. Skewness (4/120)-0.2368000.298400Trim. Kurtosis (4/120)-0.6984000.121200
Trim. Skewness (5/120)-0.2037000.373400Trim. Kurtosis (5/120)-0.8364000.065800
Trim. Skewness (6/120)-0.2052000.373400Trim. Kurtosis (6/120)-0.8491000.064400
Trim. Skewness (7/120)-0.2014000.389800Trim. Kurtosis (7/120)-0.8686000.061400
Trim. Skewness (8/120)-0.1974000.400800Trim. Kurtosis (8/120)-0.8968000.054800
Trim. Skewness (9/120)-0.1944000.412200Trim. Kurtosis (9/120)-0.9224000.051200
Trim. Skewness (10/120)-0.1821000.447200Trim. Kurtosis (10/120)-0.9455000.047800
Trim. Skewness (11/120)-0.1634000.496400Trim. Kurtosis (11/120)-0.9821000.041400
Trim. Skewness (12/120)-0.1578000.515600Trim. Kurtosis (12/120)-1.0023000.039400
Trim. Skewness (13/120)-0.1504000.541800Trim. Kurtosis (13/120)-1.0352000.034800
Trim. Skewness (14/120)-0.1540000.535200Trim. Kurtosis (14/120)-1.0649000.032400
Trim. Skewness (15/120)-0.1335000.596200Trim. Kurtosis (15/120)-1.0834000.030800
Trim. Skewness (16/120)-0.1232000.631200Trim. Kurtosis (16/120)-1.0844000.032400
Trim. Skewness (17/120)-0.1107000.667200Trim. Kurtosis (17/120)-1.0894000.034000
Trim. Skewness (18/120)-0.1037000.689200Trim. Kurtosis (18/120)-1.0882000.035800
Trim. Skewness (19/120)-0.0913000.726400Trim. Kurtosis (19/120)-1.0943000.036600
Trim. Skewness (20/120)-0.0814000.756600Trim. Kurtosis (20/120)-1.1037000.037600
Trim. Skewness (21/120)-0.0844000.749000Trim. Kurtosis (21/120)-1.1015000.040400
Trim. Skewness (22/120)-0.0915000.733800Trim. Kurtosis (22/120)-1.1075000.041400
Trim. Skewness (23/120)-0.1028000.711400Trim. Kurtosis (23/120)-1.1210000.041400
Trim. Skewness (24/120)-0.1080000.696600Trim. Kurtosis (24/120)-1.1375000.041400
Trim. Skewness (25/120)-0.1185000.674400Trim. Kurtosis (25/120)-1.1635000.039400
Trim. Skewness (26/120)-0.1343000.638400Trim. Kurtosis (26/120)-1.2194000.033200
Trim. Skewness (27/120)-0.1413000.631200Trim. Kurtosis (27/120)-1.2321000.034000
Trim. Skewness (28/120)-0.1410000.631200Trim. Kurtosis (28/120)-1.2485000.034000
Trim. Skewness (29/120)-0.1402000.638400Trim. Kurtosis (29/120)-1.2846000.031600
Trim. Skewness (30/120)-0.1319000.667200Trim. Kurtosis (30/120)-1.2998000.032400
Trim. Skewness (31/120)-0.1249000.689200Trim. Kurtosis (31/120)-1.2966000.035800
Trim. Skewness (32/120)-0.1163000.711400Trim. Kurtosis (32/120)-1.2933000.039400
Trim. Skewness (33/120)-0.1151000.718800Trim. Kurtosis (33/120)-1.2774000.045600
Trim. Skewness (34/120)-0.1073000.741400Trim. Kurtosis (34/120)-1.2685000.050000
Trim. Skewness (35/120)-0.0992000.764200Trim. Kurtosis (35/120)-1.2598000.056200
Trim. Skewness (36/120)-0.0768000.818000Trim. Kurtosis (36/120)-1.2643000.060200
Trim. Skewness (37/120)-0.0547000.872800Trim. Kurtosis (37/120)-1.2663000.064400
Trim. Skewness (38/120)-0.0507000.880800Trim. Kurtosis (38/120)-1.2479000.075000
Trim. Skewness (39/120)-0.0517000.880800Trim. Kurtosis (39/120)-1.2240000.087200
Trim. Skewness (40/120)-0.0466000.896600Trim. Kurtosis (40/120)-1.1994000.101000


Figures (Output of Computation)

Input Parameters & R Code

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