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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 18:29:15 +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/t1291141635xqu86rs64cesr1r.htm/, Retrieved Mon, 29 Apr 2024 15:51:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103715, Retrieved Mon, 29 Apr 2024 15:51:13 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact139

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 18:29:15] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
117,26
121,34
118,98
124,81
120,57
118,37
121,48
117,09
119,50
116,55
121,67
119,81
118,41
120,56
121,10
119,47
119,95
121,65
120,02
117,05
119,52
123,00
120,50
120,04
122,99
117,94
119,94
118,22
118,63
118,91
120,12
118,33
119,06
122,08
114,68
119,70
116,58
117,74
122,50
115,80
121,85
117,72
122,21
118,68
122,61
121,20
117,01
118,53
120,49
116,34
125,48
120,44
125,33
120,74
120,51
118,28
118,96
120,32
118,43
123,67
121,37
119,46
116,58
117,43
119,32
120,57
119,68
119,62
120,63
119,56
119,38
119,96
121,20
121,46
123,19
120,04
119,71
121,59
121,34
120,63
119,87
120,15
122,13
121,07
121,47
122,25
124,00
121,32
119,18
122,96
121,71
122,56
120,22
120,61
119,92
118,54
119,25
119,20
121,43
115,15
118,63
114,93
120,39
120,99
118,55
122,55
120,33
118,77
121,55
123,06
120,13
125,21
122,52
117,25
123,88
118,23
117,21
117,08
120,54
120,29

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.280868FISHER 4th Cent. Mom.66.946908
FISHER beta 10.000786FISHER beta 23.100342
FISHER gamma 10.028039FISHER gamma 20.100342
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.125394FISHER Test 20.224372
FISHER Test 1 Probability0.896600FISHER Test 2 Probability0.818000
Pearson 2-0.012473
Yule using Quartile definition:Weighted Average at Xnp-0.035714
Yule using Quartile definition:Weighted Average at X(n+1)p-0.027458
Yule using Quartile definition:Empirical Distribution Function-0.035714
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.030195
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.032947
Yule using Quartile definition:Closest Observation-0.035714
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.032947
Yule using Quartile definition:MS Excel (old versions)-0.024735
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.028395Kurtosis (small sample)0.156369
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.128556TEST 1 (small sample)0.356738
TEST 1 Prob. (small sample)0.896600TEST 1 Prob. (small sample)0.718800
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.0.280868 & FISHER 4th Cent. Mom.66.946908 \tabularnewline FISHER beta 10.000786 & FISHER beta 23.100342 \tabularnewline FISHER gamma 10.028039 & FISHER gamma 20.100342 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 10.125394 & FISHER Test 20.224372 \tabularnewline FISHER Test 1 Probability0.896600 & FISHER Test 2 Probability0.818000 \tabularnewline Pearson 2-0.012473 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.035714 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.027458 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.035714 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.030195 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.032947 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.035714 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.032947 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.024735 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.028395 & Kurtosis (small sample)0.156369 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)0.128556 & TEST 1 (small sample)0.356738 \tabularnewline TEST 1 Prob. (small sample)0.896600 & TEST 1 Prob. (small sample)0.718800 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103715&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]0.280868[/C][C]FISHER 4th Cent. Mom.[/C]66.946908[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.000786[/C][C]FISHER beta 2[/C]3.100342[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.028039[/C][C]FISHER gamma 2[/C]0.100342[/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]0.125394[/C][C]FISHER Test 2[/C]0.224372[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.896600[/C][C]FISHER Test 2 Probability[/C]0.818000[/C][/ROW] [ROW][C]Pearson 2[/C]-0.012473[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.035714[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.027458[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.035714[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.030195[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.032947[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.035714[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.032947[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.024735[/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]0.028395[/C][C]Kurtosis (small sample)[/C]0.156369[/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]0.128556[/C][C]TEST 1 (small sample)[/C]0.356738[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.896600[/C][C]TEST 1 Prob. (small sample)[/C]0.718800[/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=103715&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103715&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.0.280868FISHER 4th Cent. Mom.66.946908
FISHER beta 10.000786FISHER beta 23.100342
FISHER gamma 10.028039FISHER gamma 20.100342
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.125394FISHER Test 20.224372
FISHER Test 1 Probability0.896600FISHER Test 2 Probability0.818000
Pearson 2-0.012473
Yule using Quartile definition:Weighted Average at Xnp-0.035714
Yule using Quartile definition:Weighted Average at X(n+1)p-0.027458
Yule using Quartile definition:Empirical Distribution Function-0.035714
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.030195
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.032947
Yule using Quartile definition:Closest Observation-0.035714
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.032947
Yule using Quartile definition:MS Excel (old versions)-0.024735
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.028395Kurtosis (small sample)0.156369
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.128556TEST 1 (small sample)0.356738
TEST 1 Prob. (small sample)0.896600TEST 1 Prob. (small sample)0.718800
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.0284000.896600Trim. Kurtosis (0/120)0.1564000.718800
Trim. Skewness (1/120)0.0319000.880800Trim. Kurtosis (1/120)0.0500000.904400
Trim. Skewness (2/120)0.0280000.896600Trim. Kurtosis (2/120)-0.1033000.810400
Trim. Skewness (3/120)0.0134000.952200Trim. Kurtosis (3/120)-0.3370000.447200
Trim. Skewness (4/120)-0.0237000.912400Trim. Kurtosis (4/120)-0.5119000.258400
Trim. Skewness (5/120)-0.0404000.857200Trim. Kurtosis (5/120)-0.5523000.226200
Trim. Skewness (6/120)-0.0657000.771800Trim. Kurtosis (6/120)-0.5938000.197000
Trim. Skewness (7/120)-0.0836000.718800Trim. Kurtosis (7/120)-0.6411000.167600
Trim. Skewness (8/120)-0.0709000.764200Trim. Kurtosis (8/120)-0.6694000.152800
Trim. Skewness (9/120)-0.0756000.749000Trim. Kurtosis (9/120)-0.6591000.161600
Trim. Skewness (10/120)-0.0795000.741400Trim. Kurtosis (10/120)-0.6543000.170600
Trim. Skewness (11/120)-0.0855000.718800Trim. Kurtosis (11/120)-0.6649000.167600
Trim. Skewness (12/120)-0.0908000.711400Trim. Kurtosis (12/120)-0.6999000.149800
Trim. Skewness (13/120)-0.0784000.749000Trim. Kurtosis (13/120)-0.7078000.149800
Trim. Skewness (14/120)-0.0611000.802600Trim. Kurtosis (14/120)-0.7305000.141600
Trim. Skewness (15/120)-0.0373000.880800Trim. Kurtosis (15/120)-0.7886000.116400
Trim. Skewness (16/120)-0.0220000.928200Trim. Kurtosis (16/120)-0.8533000.093000
Trim. Skewness (17/120)-0.0322000.896600Trim. Kurtosis (17/120)-0.9039000.078400
Trim. Skewness (18/120)-0.0199000.936200Trim. Kurtosis (18/120)-0.9476000.067200
Trim. Skewness (19/120)-0.0221000.928200Trim. Kurtosis (19/120)-0.9814000.061400
Trim. Skewness (20/120)-0.0434000.865000Trim. Kurtosis (20/120)-0.9884000.062800
Trim. Skewness (21/120)-0.0660000.802600Trim. Kurtosis (21/120)-1.0060000.061400
Trim. Skewness (22/120)-0.0725000.787200Trim. Kurtosis (22/120)-0.9970000.065800
Trim. Skewness (23/120)-0.0709000.794800Trim. Kurtosis (23/120)-0.9753000.076800
Trim. Skewness (24/120)-0.0683000.802600Trim. Kurtosis (24/120)-0.9518000.087200
Trim. Skewness (25/120)-0.0666000.810400Trim. Kurtosis (25/120)-0.9291000.099000
Trim. Skewness (26/120)-0.0590000.833600Trim. Kurtosis (26/120)-0.9069000.111800
Trim. Skewness (27/120)-0.0571000.841400Trim. Kurtosis (27/120)-0.8718000.133600
Trim. Skewness (28/120)-0.0456000.872800Trim. Kurtosis (28/120)-0.8350000.155600
Trim. Skewness (29/120)-0.0292000.920400Trim. Kurtosis (29/120)-0.8081000.177000
Trim. Skewness (30/120)-0.0196000.944200Trim. Kurtosis (30/120)-0.7768000.200600
Trim. Skewness (31/120)0.0010000.992000Trim. Kurtosis (31/120)-0.7664000.215000
Trim. Skewness (32/120)0.0315000.920400Trim. Kurtosis (32/120)-0.7623000.222400
Trim. Skewness (33/120)0.0570000.857200Trim. Kurtosis (33/120)-0.7568000.234000
Trim. Skewness (34/120)0.0503000.872800Trim. Kurtosis (34/120)-0.7435000.250200
Trim. Skewness (35/120)0.0287000.928200Trim. Kurtosis (35/120)-0.7617000.246000
Trim. Skewness (36/120)0.0349000.912400Trim. Kurtosis (36/120)-0.7771000.246000
Trim. Skewness (37/120)0.0072000.976000Trim. Kurtosis (37/120)-0.8498000.215000
Trim. Skewness (38/120)-0.0385000.912400Trim. Kurtosis (38/120)-0.8860000.204000
Trim. Skewness (39/120)-0.1078000.764200Trim. Kurtosis (39/120)-1.0169000.155600
Trim. Skewness (40/120)-0.1922000.603000Trim. Kurtosis (40/120)-1.2145000.097000

\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)0.0284000.896600 & Trim. Kurtosis (0/120)0.1564000.718800 \tabularnewline Trim. Skewness (1/120)0.0319000.880800 & Trim. Kurtosis (1/120)0.0500000.904400 \tabularnewline Trim. Skewness (2/120)0.0280000.896600 & Trim. Kurtosis (2/120)-0.1033000.810400 \tabularnewline Trim. Skewness (3/120)0.0134000.952200 & Trim. Kurtosis (3/120)-0.3370000.447200 \tabularnewline Trim. Skewness (4/120)-0.0237000.912400 & Trim. Kurtosis (4/120)-0.5119000.258400 \tabularnewline Trim. Skewness (5/120)-0.0404000.857200 & Trim. Kurtosis (5/120)-0.5523000.226200 \tabularnewline Trim. Skewness (6/120)-0.0657000.771800 & Trim. Kurtosis (6/120)-0.5938000.197000 \tabularnewline Trim. Skewness (7/120)-0.0836000.718800 & Trim. Kurtosis (7/120)-0.6411000.167600 \tabularnewline Trim. Skewness (8/120)-0.0709000.764200 & Trim. Kurtosis (8/120)-0.6694000.152800 \tabularnewline Trim. Skewness (9/120)-0.0756000.749000 & Trim. Kurtosis (9/120)-0.6591000.161600 \tabularnewline Trim. Skewness (10/120)-0.0795000.741400 & Trim. Kurtosis (10/120)-0.6543000.170600 \tabularnewline Trim. Skewness (11/120)-0.0855000.718800 & Trim. Kurtosis (11/120)-0.6649000.167600 \tabularnewline Trim. Skewness (12/120)-0.0908000.711400 & Trim. Kurtosis (12/120)-0.6999000.149800 \tabularnewline Trim. Skewness (13/120)-0.0784000.749000 & Trim. Kurtosis (13/120)-0.7078000.149800 \tabularnewline Trim. Skewness (14/120)-0.0611000.802600 & Trim. Kurtosis (14/120)-0.7305000.141600 \tabularnewline Trim. Skewness (15/120)-0.0373000.880800 & Trim. Kurtosis (15/120)-0.7886000.116400 \tabularnewline Trim. Skewness (16/120)-0.0220000.928200 & Trim. Kurtosis (16/120)-0.8533000.093000 \tabularnewline Trim. Skewness (17/120)-0.0322000.896600 & Trim. Kurtosis (17/120)-0.9039000.078400 \tabularnewline Trim. Skewness (18/120)-0.0199000.936200 & Trim. Kurtosis (18/120)-0.9476000.067200 \tabularnewline Trim. Skewness (19/120)-0.0221000.928200 & Trim. Kurtosis (19/120)-0.9814000.061400 \tabularnewline Trim. Skewness (20/120)-0.0434000.865000 & Trim. Kurtosis (20/120)-0.9884000.062800 \tabularnewline Trim. Skewness (21/120)-0.0660000.802600 & Trim. Kurtosis (21/120)-1.0060000.061400 \tabularnewline Trim. Skewness (22/120)-0.0725000.787200 & Trim. Kurtosis (22/120)-0.9970000.065800 \tabularnewline Trim. Skewness (23/120)-0.0709000.794800 & Trim. Kurtosis (23/120)-0.9753000.076800 \tabularnewline Trim. Skewness (24/120)-0.0683000.802600 & Trim. Kurtosis (24/120)-0.9518000.087200 \tabularnewline Trim. Skewness (25/120)-0.0666000.810400 & Trim. Kurtosis (25/120)-0.9291000.099000 \tabularnewline Trim. Skewness (26/120)-0.0590000.833600 & Trim. Kurtosis (26/120)-0.9069000.111800 \tabularnewline Trim. Skewness (27/120)-0.0571000.841400 & Trim. Kurtosis (27/120)-0.8718000.133600 \tabularnewline Trim. Skewness (28/120)-0.0456000.872800 & Trim. Kurtosis (28/120)-0.8350000.155600 \tabularnewline Trim. Skewness (29/120)-0.0292000.920400 & Trim. Kurtosis (29/120)-0.8081000.177000 \tabularnewline Trim. Skewness (30/120)-0.0196000.944200 & Trim. Kurtosis (30/120)-0.7768000.200600 \tabularnewline Trim. Skewness (31/120)0.0010000.992000 & Trim. Kurtosis (31/120)-0.7664000.215000 \tabularnewline Trim. Skewness (32/120)0.0315000.920400 & Trim. Kurtosis (32/120)-0.7623000.222400 \tabularnewline Trim. Skewness (33/120)0.0570000.857200 & Trim. Kurtosis (33/120)-0.7568000.234000 \tabularnewline Trim. Skewness (34/120)0.0503000.872800 & Trim. Kurtosis (34/120)-0.7435000.250200 \tabularnewline Trim. Skewness (35/120)0.0287000.928200 & Trim. Kurtosis (35/120)-0.7617000.246000 \tabularnewline Trim. Skewness (36/120)0.0349000.912400 & Trim. Kurtosis (36/120)-0.7771000.246000 \tabularnewline Trim. Skewness (37/120)0.0072000.976000 & Trim. Kurtosis (37/120)-0.8498000.215000 \tabularnewline Trim. Skewness (38/120)-0.0385000.912400 & Trim. Kurtosis (38/120)-0.8860000.204000 \tabularnewline Trim. Skewness (39/120)-0.1078000.764200 & Trim. Kurtosis (39/120)-1.0169000.155600 \tabularnewline Trim. Skewness (40/120)-0.1922000.603000 & Trim. Kurtosis (40/120)-1.2145000.097000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103715&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]0.028400[/C]0.896600[/C][C]Trim. Kurtosis (0/120)[/C]0.156400[/C]0.718800[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.031900[/C]0.880800[/C][C]Trim. Kurtosis (1/120)[/C]0.050000[/C]0.904400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.028000[/C]0.896600[/C][C]Trim. Kurtosis (2/120)[/C]-0.103300[/C]0.810400[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.013400[/C]0.952200[/C][C]Trim. Kurtosis (3/120)[/C]-0.337000[/C]0.447200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.023700[/C]0.912400[/C][C]Trim. Kurtosis (4/120)[/C]-0.511900[/C]0.258400[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.040400[/C]0.857200[/C][C]Trim. Kurtosis (5/120)[/C]-0.552300[/C]0.226200[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.065700[/C]0.771800[/C][C]Trim. Kurtosis (6/120)[/C]-0.593800[/C]0.197000[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.083600[/C]0.718800[/C][C]Trim. Kurtosis (7/120)[/C]-0.641100[/C]0.167600[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.070900[/C]0.764200[/C][C]Trim. Kurtosis (8/120)[/C]-0.669400[/C]0.152800[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.075600[/C]0.749000[/C][C]Trim. Kurtosis (9/120)[/C]-0.659100[/C]0.161600[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.079500[/C]0.741400[/C][C]Trim. Kurtosis (10/120)[/C]-0.654300[/C]0.170600[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.085500[/C]0.718800[/C][C]Trim. Kurtosis (11/120)[/C]-0.664900[/C]0.167600[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.090800[/C]0.711400[/C][C]Trim. Kurtosis (12/120)[/C]-0.699900[/C]0.149800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.078400[/C]0.749000[/C][C]Trim. Kurtosis (13/120)[/C]-0.707800[/C]0.149800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.061100[/C]0.802600[/C][C]Trim. Kurtosis (14/120)[/C]-0.730500[/C]0.141600[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.037300[/C]0.880800[/C][C]Trim. Kurtosis (15/120)[/C]-0.788600[/C]0.116400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.022000[/C]0.928200[/C][C]Trim. Kurtosis (16/120)[/C]-0.853300[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.032200[/C]0.896600[/C][C]Trim. Kurtosis (17/120)[/C]-0.903900[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.019900[/C]0.936200[/C][C]Trim. Kurtosis (18/120)[/C]-0.947600[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.022100[/C]0.928200[/C][C]Trim. Kurtosis (19/120)[/C]-0.981400[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.043400[/C]0.865000[/C][C]Trim. Kurtosis (20/120)[/C]-0.988400[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.066000[/C]0.802600[/C][C]Trim. Kurtosis (21/120)[/C]-1.006000[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.072500[/C]0.787200[/C][C]Trim. Kurtosis (22/120)[/C]-0.997000[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.070900[/C]0.794800[/C][C]Trim. Kurtosis (23/120)[/C]-0.975300[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.068300[/C]0.802600[/C][C]Trim. Kurtosis (24/120)[/C]-0.951800[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.066600[/C]0.810400[/C][C]Trim. Kurtosis (25/120)[/C]-0.929100[/C]0.099000[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.059000[/C]0.833600[/C][C]Trim. Kurtosis (26/120)[/C]-0.906900[/C]0.111800[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.057100[/C]0.841400[/C][C]Trim. Kurtosis (27/120)[/C]-0.871800[/C]0.133600[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.045600[/C]0.872800[/C][C]Trim. Kurtosis (28/120)[/C]-0.835000[/C]0.155600[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.029200[/C]0.920400[/C][C]Trim. Kurtosis (29/120)[/C]-0.808100[/C]0.177000[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.019600[/C]0.944200[/C][C]Trim. Kurtosis (30/120)[/C]-0.776800[/C]0.200600[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.001000[/C]0.992000[/C][C]Trim. Kurtosis (31/120)[/C]-0.766400[/C]0.215000[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.031500[/C]0.920400[/C][C]Trim. Kurtosis (32/120)[/C]-0.762300[/C]0.222400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.057000[/C]0.857200[/C][C]Trim. Kurtosis (33/120)[/C]-0.756800[/C]0.234000[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.050300[/C]0.872800[/C][C]Trim. Kurtosis (34/120)[/C]-0.743500[/C]0.250200[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.028700[/C]0.928200[/C][C]Trim. Kurtosis (35/120)[/C]-0.761700[/C]0.246000[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.034900[/C]0.912400[/C][C]Trim. Kurtosis (36/120)[/C]-0.777100[/C]0.246000[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.007200[/C]0.976000[/C][C]Trim. Kurtosis (37/120)[/C]-0.849800[/C]0.215000[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.038500[/C]0.912400[/C][C]Trim. Kurtosis (38/120)[/C]-0.886000[/C]0.204000[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.107800[/C]0.764200[/C][C]Trim. Kurtosis (39/120)[/C]-1.016900[/C]0.155600[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.192200[/C]0.603000[/C][C]Trim. Kurtosis (40/120)[/C]-1.214500[/C]0.097000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103715&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103715&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)0.0284000.896600Trim. Kurtosis (0/120)0.1564000.718800
Trim. Skewness (1/120)0.0319000.880800Trim. Kurtosis (1/120)0.0500000.904400
Trim. Skewness (2/120)0.0280000.896600Trim. Kurtosis (2/120)-0.1033000.810400
Trim. Skewness (3/120)0.0134000.952200Trim. Kurtosis (3/120)-0.3370000.447200
Trim. Skewness (4/120)-0.0237000.912400Trim. Kurtosis (4/120)-0.5119000.258400
Trim. Skewness (5/120)-0.0404000.857200Trim. Kurtosis (5/120)-0.5523000.226200
Trim. Skewness (6/120)-0.0657000.771800Trim. Kurtosis (6/120)-0.5938000.197000
Trim. Skewness (7/120)-0.0836000.718800Trim. Kurtosis (7/120)-0.6411000.167600
Trim. Skewness (8/120)-0.0709000.764200Trim. Kurtosis (8/120)-0.6694000.152800
Trim. Skewness (9/120)-0.0756000.749000Trim. Kurtosis (9/120)-0.6591000.161600
Trim. Skewness (10/120)-0.0795000.741400Trim. Kurtosis (10/120)-0.6543000.170600
Trim. Skewness (11/120)-0.0855000.718800Trim. Kurtosis (11/120)-0.6649000.167600
Trim. Skewness (12/120)-0.0908000.711400Trim. Kurtosis (12/120)-0.6999000.149800
Trim. Skewness (13/120)-0.0784000.749000Trim. Kurtosis (13/120)-0.7078000.149800
Trim. Skewness (14/120)-0.0611000.802600Trim. Kurtosis (14/120)-0.7305000.141600
Trim. Skewness (15/120)-0.0373000.880800Trim. Kurtosis (15/120)-0.7886000.116400
Trim. Skewness (16/120)-0.0220000.928200Trim. Kurtosis (16/120)-0.8533000.093000
Trim. Skewness (17/120)-0.0322000.896600Trim. Kurtosis (17/120)-0.9039000.078400
Trim. Skewness (18/120)-0.0199000.936200Trim. Kurtosis (18/120)-0.9476000.067200
Trim. Skewness (19/120)-0.0221000.928200Trim. Kurtosis (19/120)-0.9814000.061400
Trim. Skewness (20/120)-0.0434000.865000Trim. Kurtosis (20/120)-0.9884000.062800
Trim. Skewness (21/120)-0.0660000.802600Trim. Kurtosis (21/120)-1.0060000.061400
Trim. Skewness (22/120)-0.0725000.787200Trim. Kurtosis (22/120)-0.9970000.065800
Trim. Skewness (23/120)-0.0709000.794800Trim. Kurtosis (23/120)-0.9753000.076800
Trim. Skewness (24/120)-0.0683000.802600Trim. Kurtosis (24/120)-0.9518000.087200
Trim. Skewness (25/120)-0.0666000.810400Trim. Kurtosis (25/120)-0.9291000.099000
Trim. Skewness (26/120)-0.0590000.833600Trim. Kurtosis (26/120)-0.9069000.111800
Trim. Skewness (27/120)-0.0571000.841400Trim. Kurtosis (27/120)-0.8718000.133600
Trim. Skewness (28/120)-0.0456000.872800Trim. Kurtosis (28/120)-0.8350000.155600
Trim. Skewness (29/120)-0.0292000.920400Trim. Kurtosis (29/120)-0.8081000.177000
Trim. Skewness (30/120)-0.0196000.944200Trim. Kurtosis (30/120)-0.7768000.200600
Trim. Skewness (31/120)0.0010000.992000Trim. Kurtosis (31/120)-0.7664000.215000
Trim. Skewness (32/120)0.0315000.920400Trim. Kurtosis (32/120)-0.7623000.222400
Trim. Skewness (33/120)0.0570000.857200Trim. Kurtosis (33/120)-0.7568000.234000
Trim. Skewness (34/120)0.0503000.872800Trim. Kurtosis (34/120)-0.7435000.250200
Trim. Skewness (35/120)0.0287000.928200Trim. Kurtosis (35/120)-0.7617000.246000
Trim. Skewness (36/120)0.0349000.912400Trim. Kurtosis (36/120)-0.7771000.246000
Trim. Skewness (37/120)0.0072000.976000Trim. Kurtosis (37/120)-0.8498000.215000
Trim. Skewness (38/120)-0.0385000.912400Trim. Kurtosis (38/120)-0.8860000.204000
Trim. Skewness (39/120)-0.1078000.764200Trim. Kurtosis (39/120)-1.0169000.155600
Trim. Skewness (40/120)-0.1922000.603000Trim. Kurtosis (40/120)-1.2145000.097000


Figures (Output of Computation)

Input Parameters & R Code

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