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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 14:55:21 +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/t12911288009qvhjf58zm4faha.htm/, Retrieved Mon, 29 Apr 2024 11:11:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103564, Retrieved Mon, 29 Apr 2024 11:11:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact110

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] [] [2010-11-30 14:55:21] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9.29
9.52
9.63
9.64
9.91
10.1
10.24
10.07
10.18
10.37
10.45
10.51
10.77
10.82
10.54
10.74
10.86
10.6
10.57
10.52
10.79
10.93
10.81
10.93
11.14
11.23
11.36
10.6
10.59
10.94
10.98
11.11
11.2
10.81
10.98
10.75
10.72
10.55
10.28
10.16
10.31
10.11
9.82
9.79
9.86
9.92
9.82
9.98
9.92
10.1
10.04
9.99
9.81
9.96
10.15
10.19
9.91
9.78
9.48
9.25
9.18
8.98
8.81
8.49
8.61
8.67
8.74
8.61
8.79
9
9.07
9.19
8.97
8.94
8.87
8.92
8.9
9.12
9.43
9.53
9.52
9.51
9.65
9.72
9.61
9.14
9.39
9.27
9.43
9.38
9.22
9.21
9.07
8.96
8.88
8.88
8.87
8.51
8.47
8.35
8.45
8.67
8.4
8.6
8.43
8.64
8.43
8.17
8.22
8.3
8.31
8.5
8.53
8.6
8.87
8.9
8.82
8.76
9.75
9.64

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.107888FISHER 4th Cent. Mom.0.988651
FISHER beta 10.030576FISHER beta 21.882205
FISHER gamma 10.174860FISHER gamma 2-1.117795
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.781997FISHER Test 2-2.499465
FISHER Test 1 Probability0.429600FISHER Test 2 Probability0.012400
Pearson 20.024272
Yule using Quartile definition:Weighted Average at Xnp-0.057143
Yule using Quartile definition:Weighted Average at X(n+1)p-0.040422
Yule using Quartile definition:Empirical Distribution Function-0.057143
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.045936
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.051510
Yule using Quartile definition:Closest Observation-0.057143
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.051510
Yule using Quartile definition:MS Excel (old versions)-0.034965
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.177081Kurtosis (small sample)-1.114090
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.801713TEST 1 (small sample)-2.541667
TEST 1 Prob. (small sample)0.418000TEST 1 Prob. (small sample)0.010800
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.0.107888 & FISHER 4th Cent. Mom.0.988651 \tabularnewline FISHER beta 10.030576 & FISHER beta 21.882205 \tabularnewline FISHER gamma 10.174860 & FISHER gamma 2-1.117795 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 10.781997 & FISHER Test 2-2.499465 \tabularnewline FISHER Test 1 Probability0.429600 & FISHER Test 2 Probability0.012400 \tabularnewline Pearson 20.024272 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.057143 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.040422 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.057143 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.045936 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.051510 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.057143 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.051510 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.034965 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.177081 & Kurtosis (small sample)-1.114090 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)0.801713 & TEST 1 (small sample)-2.541667 \tabularnewline TEST 1 Prob. (small sample)0.418000 & TEST 1 Prob. (small sample)0.010800 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103564&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]0.107888[/C][C]FISHER 4th Cent. Mom.[/C]0.988651[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.030576[/C][C]FISHER beta 2[/C]1.882205[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.174860[/C][C]FISHER gamma 2[/C]-1.117795[/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]0.781997[/C][C]FISHER Test 2[/C]-2.499465[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.429600[/C][C]FISHER Test 2 Probability[/C]0.012400[/C][/ROW] [ROW][C]Pearson 2[/C]0.024272[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.057143[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.040422[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.057143[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.045936[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.051510[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.057143[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.051510[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.034965[/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]0.177081[/C][C]Kurtosis (small sample)[/C]-1.114090[/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]0.801713[/C][C]TEST 1 (small sample)[/C]-2.541667[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.418000[/C][C]TEST 1 Prob. (small sample)[/C]0.010800[/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=103564&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103564&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.0.107888FISHER 4th Cent. Mom.0.988651
FISHER beta 10.030576FISHER beta 21.882205
FISHER gamma 10.174860FISHER gamma 2-1.117795
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.781997FISHER Test 2-2.499465
FISHER Test 1 Probability0.429600FISHER Test 2 Probability0.012400
Pearson 20.024272
Yule using Quartile definition:Weighted Average at Xnp-0.057143
Yule using Quartile definition:Weighted Average at X(n+1)p-0.040422
Yule using Quartile definition:Empirical Distribution Function-0.057143
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.045936
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.051510
Yule using Quartile definition:Closest Observation-0.057143
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.051510
Yule using Quartile definition:MS Excel (old versions)-0.034965
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.177081Kurtosis (small sample)-1.114090
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.801713TEST 1 (small sample)-2.541667
TEST 1 Prob. (small sample)0.418000TEST 1 Prob. (small sample)0.010800
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.1771000.418000Trim. Kurtosis (0/120)-1.1141000.010800
Trim. Skewness (1/120)0.1695000.441200Trim. Kurtosis (1/120)-1.1440000.009600
Trim. Skewness (2/120)0.1677000.453200Trim. Kurtosis (2/120)-1.1583000.009400
Trim. Skewness (3/120)0.1616000.471600Trim. Kurtosis (3/120)-1.1705000.009000
Trim. Skewness (4/120)0.1581000.484000Trim. Kurtosis (4/120)-1.1805000.009000
Trim. Skewness (5/120)0.1530000.502800Trim. Kurtosis (5/120)-1.1906000.009000
Trim. Skewness (6/120)0.1537000.502800Trim. Kurtosis (6/120)-1.1846000.010200
Trim. Skewness (7/120)0.1518000.515600Trim. Kurtosis (7/120)-1.1806000.011000
Trim. Skewness (8/120)0.1522000.515600Trim. Kurtosis (8/120)-1.1755000.012000
Trim. Skewness (9/120)0.1514000.522200Trim. Kurtosis (9/120)-1.1721000.013200
Trim. Skewness (10/120)0.1479000.535200Trim. Kurtosis (10/120)-1.1730000.013800
Trim. Skewness (11/120)0.1483000.541800Trim. Kurtosis (11/120)-1.1668000.015600
Trim. Skewness (12/120)0.1510000.535200Trim. Kurtosis (12/120)-1.1586000.017400
Trim. Skewness (13/120)0.1535000.535200Trim. Kurtosis (13/120)-1.1528000.018800
Trim. Skewness (14/120)0.1537000.535200Trim. Kurtosis (14/120)-1.1514000.020400
Trim. Skewness (15/120)0.1482000.555200Trim. Kurtosis (15/120)-1.1465000.022600
Trim. Skewness (16/120)0.1430000.575400Trim. Kurtosis (16/120)-1.1446000.023800
Trim. Skewness (17/120)0.1371000.596200Trim. Kurtosis (17/120)-1.1460000.025800
Trim. Skewness (18/120)0.1303000.617000Trim. Kurtosis (18/120)-1.1563000.025800
Trim. Skewness (19/120)0.1197000.645600Trim. Kurtosis (19/120)-1.1714000.025800
Trim. Skewness (20/120)0.1209000.652800Trim. Kurtosis (20/120)-1.1622000.028600
Trim. Skewness (21/120)0.1213000.652800Trim. Kurtosis (21/120)-1.1614000.030800
Trim. Skewness (22/120)0.1122000.681800Trim. Kurtosis (22/120)-1.1581000.033200
Trim. Skewness (23/120)0.1004000.718800Trim. Kurtosis (23/120)-1.1569000.035800
Trim. Skewness (24/120)0.0837000.764200Trim. Kurtosis (24/120)-1.1575000.037600
Trim. Skewness (25/120)0.0602000.833600Trim. Kurtosis (25/120)-1.1669000.038400
Trim. Skewness (26/120)0.0317000.912400Trim. Kurtosis (26/120)-1.1858000.038400
Trim. Skewness (27/120)-0.0125000.960200Trim. Kurtosis (27/120)-1.2186000.035800
Trim. Skewness (28/120)-0.0523000.857200Trim. Kurtosis (28/120)-1.2444000.034800
Trim. Skewness (29/120)-0.0800000.787200Trim. Kurtosis (29/120)-1.2515000.036600
Trim. Skewness (30/120)-0.1004000.741400Trim. Kurtosis (30/120)-1.2467000.040400
Trim. Skewness (31/120)-0.1180000.704000Trim. Kurtosis (31/120)-1.2439000.043400
Trim. Skewness (32/120)-0.1330000.674400Trim. Kurtosis (32/120)-1.2337000.048800
Trim. Skewness (33/120)-0.1366000.667200Trim. Kurtosis (33/120)-1.2196000.056200
Trim. Skewness (34/120)-0.1426000.660000Trim. Kurtosis (34/120)-1.2068000.062800
Trim. Skewness (35/120)-0.1487000.652800Trim. Kurtosis (35/120)-1.1928000.070200
Trim. Skewness (36/120)-0.1585000.638400Trim. Kurtosis (36/120)-1.1823000.078400
Trim. Skewness (37/120)-0.1565000.652800Trim. Kurtosis (37/120)-1.1716000.087200
Trim. Skewness (38/120)-0.1501000.674400Trim. Kurtosis (38/120)-1.1795000.091000
Trim. Skewness (39/120)-0.1480000.681800Trim. Kurtosis (39/120)-1.2188000.087200
Trim. Skewness (40/120)-0.1665000.652800Trim. Kurtosis (40/120)-1.2194000.095000

\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)0.1771000.418000 & Trim. Kurtosis (0/120)-1.1141000.010800 \tabularnewline Trim. Skewness (1/120)0.1695000.441200 & Trim. Kurtosis (1/120)-1.1440000.009600 \tabularnewline Trim. Skewness (2/120)0.1677000.453200 & Trim. Kurtosis (2/120)-1.1583000.009400 \tabularnewline Trim. Skewness (3/120)0.1616000.471600 & Trim. Kurtosis (3/120)-1.1705000.009000 \tabularnewline Trim. Skewness (4/120)0.1581000.484000 & Trim. Kurtosis (4/120)-1.1805000.009000 \tabularnewline Trim. Skewness (5/120)0.1530000.502800 & Trim. Kurtosis (5/120)-1.1906000.009000 \tabularnewline Trim. Skewness (6/120)0.1537000.502800 & Trim. Kurtosis (6/120)-1.1846000.010200 \tabularnewline Trim. Skewness (7/120)0.1518000.515600 & Trim. Kurtosis (7/120)-1.1806000.011000 \tabularnewline Trim. Skewness (8/120)0.1522000.515600 & Trim. Kurtosis (8/120)-1.1755000.012000 \tabularnewline Trim. Skewness (9/120)0.1514000.522200 & Trim. Kurtosis (9/120)-1.1721000.013200 \tabularnewline Trim. Skewness (10/120)0.1479000.535200 & Trim. Kurtosis (10/120)-1.1730000.013800 \tabularnewline Trim. Skewness (11/120)0.1483000.541800 & Trim. Kurtosis (11/120)-1.1668000.015600 \tabularnewline Trim. Skewness (12/120)0.1510000.535200 & Trim. Kurtosis (12/120)-1.1586000.017400 \tabularnewline Trim. Skewness (13/120)0.1535000.535200 & Trim. Kurtosis (13/120)-1.1528000.018800 \tabularnewline Trim. Skewness (14/120)0.1537000.535200 & Trim. Kurtosis (14/120)-1.1514000.020400 \tabularnewline Trim. Skewness (15/120)0.1482000.555200 & Trim. Kurtosis (15/120)-1.1465000.022600 \tabularnewline Trim. Skewness (16/120)0.1430000.575400 & Trim. Kurtosis (16/120)-1.1446000.023800 \tabularnewline Trim. Skewness (17/120)0.1371000.596200 & Trim. Kurtosis (17/120)-1.1460000.025800 \tabularnewline Trim. Skewness (18/120)0.1303000.617000 & Trim. Kurtosis (18/120)-1.1563000.025800 \tabularnewline Trim. Skewness (19/120)0.1197000.645600 & Trim. Kurtosis (19/120)-1.1714000.025800 \tabularnewline Trim. Skewness (20/120)0.1209000.652800 & Trim. Kurtosis (20/120)-1.1622000.028600 \tabularnewline Trim. Skewness (21/120)0.1213000.652800 & Trim. Kurtosis (21/120)-1.1614000.030800 \tabularnewline Trim. Skewness (22/120)0.1122000.681800 & Trim. Kurtosis (22/120)-1.1581000.033200 \tabularnewline Trim. Skewness (23/120)0.1004000.718800 & Trim. Kurtosis (23/120)-1.1569000.035800 \tabularnewline Trim. Skewness (24/120)0.0837000.764200 & Trim. Kurtosis (24/120)-1.1575000.037600 \tabularnewline Trim. Skewness (25/120)0.0602000.833600 & Trim. Kurtosis (25/120)-1.1669000.038400 \tabularnewline Trim. Skewness (26/120)0.0317000.912400 & Trim. Kurtosis (26/120)-1.1858000.038400 \tabularnewline Trim. Skewness (27/120)-0.0125000.960200 & Trim. Kurtosis (27/120)-1.2186000.035800 \tabularnewline Trim. Skewness (28/120)-0.0523000.857200 & Trim. Kurtosis (28/120)-1.2444000.034800 \tabularnewline Trim. Skewness (29/120)-0.0800000.787200 & Trim. Kurtosis (29/120)-1.2515000.036600 \tabularnewline Trim. Skewness (30/120)-0.1004000.741400 & Trim. Kurtosis (30/120)-1.2467000.040400 \tabularnewline Trim. Skewness (31/120)-0.1180000.704000 & Trim. Kurtosis (31/120)-1.2439000.043400 \tabularnewline Trim. Skewness (32/120)-0.1330000.674400 & Trim. Kurtosis (32/120)-1.2337000.048800 \tabularnewline Trim. Skewness (33/120)-0.1366000.667200 & Trim. Kurtosis (33/120)-1.2196000.056200 \tabularnewline Trim. Skewness (34/120)-0.1426000.660000 & Trim. Kurtosis (34/120)-1.2068000.062800 \tabularnewline Trim. Skewness (35/120)-0.1487000.652800 & Trim. Kurtosis (35/120)-1.1928000.070200 \tabularnewline Trim. Skewness (36/120)-0.1585000.638400 & Trim. Kurtosis (36/120)-1.1823000.078400 \tabularnewline Trim. Skewness (37/120)-0.1565000.652800 & Trim. Kurtosis (37/120)-1.1716000.087200 \tabularnewline Trim. Skewness (38/120)-0.1501000.674400 & Trim. Kurtosis (38/120)-1.1795000.091000 \tabularnewline Trim. Skewness (39/120)-0.1480000.681800 & Trim. Kurtosis (39/120)-1.2188000.087200 \tabularnewline Trim. Skewness (40/120)-0.1665000.652800 & Trim. Kurtosis (40/120)-1.2194000.095000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103564&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]0.177100[/C]0.418000[/C][C]Trim. Kurtosis (0/120)[/C]-1.114100[/C]0.010800[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.169500[/C]0.441200[/C][C]Trim. Kurtosis (1/120)[/C]-1.144000[/C]0.009600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.167700[/C]0.453200[/C][C]Trim. Kurtosis (2/120)[/C]-1.158300[/C]0.009400[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.161600[/C]0.471600[/C][C]Trim. Kurtosis (3/120)[/C]-1.170500[/C]0.009000[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.158100[/C]0.484000[/C][C]Trim. Kurtosis (4/120)[/C]-1.180500[/C]0.009000[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.153000[/C]0.502800[/C][C]Trim. Kurtosis (5/120)[/C]-1.190600[/C]0.009000[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.153700[/C]0.502800[/C][C]Trim. Kurtosis (6/120)[/C]-1.184600[/C]0.010200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.151800[/C]0.515600[/C][C]Trim. Kurtosis (7/120)[/C]-1.180600[/C]0.011000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.152200[/C]0.515600[/C][C]Trim. Kurtosis (8/120)[/C]-1.175500[/C]0.012000[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.151400[/C]0.522200[/C][C]Trim. Kurtosis (9/120)[/C]-1.172100[/C]0.013200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.147900[/C]0.535200[/C][C]Trim. Kurtosis (10/120)[/C]-1.173000[/C]0.013800[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.148300[/C]0.541800[/C][C]Trim. Kurtosis (11/120)[/C]-1.166800[/C]0.015600[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.151000[/C]0.535200[/C][C]Trim. Kurtosis (12/120)[/C]-1.158600[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.153500[/C]0.535200[/C][C]Trim. Kurtosis (13/120)[/C]-1.152800[/C]0.018800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.153700[/C]0.535200[/C][C]Trim. Kurtosis (14/120)[/C]-1.151400[/C]0.020400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.148200[/C]0.555200[/C][C]Trim. Kurtosis (15/120)[/C]-1.146500[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.143000[/C]0.575400[/C][C]Trim. Kurtosis (16/120)[/C]-1.144600[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.137100[/C]0.596200[/C][C]Trim. Kurtosis (17/120)[/C]-1.146000[/C]0.025800[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.130300[/C]0.617000[/C][C]Trim. Kurtosis (18/120)[/C]-1.156300[/C]0.025800[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.119700[/C]0.645600[/C][C]Trim. Kurtosis (19/120)[/C]-1.171400[/C]0.025800[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.120900[/C]0.652800[/C][C]Trim. Kurtosis (20/120)[/C]-1.162200[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.121300[/C]0.652800[/C][C]Trim. Kurtosis (21/120)[/C]-1.161400[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.112200[/C]0.681800[/C][C]Trim. Kurtosis (22/120)[/C]-1.158100[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.100400[/C]0.718800[/C][C]Trim. Kurtosis (23/120)[/C]-1.156900[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.083700[/C]0.764200[/C][C]Trim. Kurtosis (24/120)[/C]-1.157500[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.060200[/C]0.833600[/C][C]Trim. Kurtosis (25/120)[/C]-1.166900[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.031700[/C]0.912400[/C][C]Trim. Kurtosis (26/120)[/C]-1.185800[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.012500[/C]0.960200[/C][C]Trim. Kurtosis (27/120)[/C]-1.218600[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.052300[/C]0.857200[/C][C]Trim. Kurtosis (28/120)[/C]-1.244400[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.080000[/C]0.787200[/C][C]Trim. Kurtosis (29/120)[/C]-1.251500[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.100400[/C]0.741400[/C][C]Trim. Kurtosis (30/120)[/C]-1.246700[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.118000[/C]0.704000[/C][C]Trim. Kurtosis (31/120)[/C]-1.243900[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.133000[/C]0.674400[/C][C]Trim. Kurtosis (32/120)[/C]-1.233700[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.136600[/C]0.667200[/C][C]Trim. Kurtosis (33/120)[/C]-1.219600[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.142600[/C]0.660000[/C][C]Trim. Kurtosis (34/120)[/C]-1.206800[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.148700[/C]0.652800[/C][C]Trim. Kurtosis (35/120)[/C]-1.192800[/C]0.070200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.158500[/C]0.638400[/C][C]Trim. Kurtosis (36/120)[/C]-1.182300[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.156500[/C]0.652800[/C][C]Trim. Kurtosis (37/120)[/C]-1.171600[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.150100[/C]0.674400[/C][C]Trim. Kurtosis (38/120)[/C]-1.179500[/C]0.091000[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.148000[/C]0.681800[/C][C]Trim. Kurtosis (39/120)[/C]-1.218800[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.166500[/C]0.652800[/C][C]Trim. Kurtosis (40/120)[/C]-1.219400[/C]0.095000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103564&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103564&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)0.1771000.418000Trim. Kurtosis (0/120)-1.1141000.010800
Trim. Skewness (1/120)0.1695000.441200Trim. Kurtosis (1/120)-1.1440000.009600
Trim. Skewness (2/120)0.1677000.453200Trim. Kurtosis (2/120)-1.1583000.009400
Trim. Skewness (3/120)0.1616000.471600Trim. Kurtosis (3/120)-1.1705000.009000
Trim. Skewness (4/120)0.1581000.484000Trim. Kurtosis (4/120)-1.1805000.009000
Trim. Skewness (5/120)0.1530000.502800Trim. Kurtosis (5/120)-1.1906000.009000
Trim. Skewness (6/120)0.1537000.502800Trim. Kurtosis (6/120)-1.1846000.010200
Trim. Skewness (7/120)0.1518000.515600Trim. Kurtosis (7/120)-1.1806000.011000
Trim. Skewness (8/120)0.1522000.515600Trim. Kurtosis (8/120)-1.1755000.012000
Trim. Skewness (9/120)0.1514000.522200Trim. Kurtosis (9/120)-1.1721000.013200
Trim. Skewness (10/120)0.1479000.535200Trim. Kurtosis (10/120)-1.1730000.013800
Trim. Skewness (11/120)0.1483000.541800Trim. Kurtosis (11/120)-1.1668000.015600
Trim. Skewness (12/120)0.1510000.535200Trim. Kurtosis (12/120)-1.1586000.017400
Trim. Skewness (13/120)0.1535000.535200Trim. Kurtosis (13/120)-1.1528000.018800
Trim. Skewness (14/120)0.1537000.535200Trim. Kurtosis (14/120)-1.1514000.020400
Trim. Skewness (15/120)0.1482000.555200Trim. Kurtosis (15/120)-1.1465000.022600
Trim. Skewness (16/120)0.1430000.575400Trim. Kurtosis (16/120)-1.1446000.023800
Trim. Skewness (17/120)0.1371000.596200Trim. Kurtosis (17/120)-1.1460000.025800
Trim. Skewness (18/120)0.1303000.617000Trim. Kurtosis (18/120)-1.1563000.025800
Trim. Skewness (19/120)0.1197000.645600Trim. Kurtosis (19/120)-1.1714000.025800
Trim. Skewness (20/120)0.1209000.652800Trim. Kurtosis (20/120)-1.1622000.028600
Trim. Skewness (21/120)0.1213000.652800Trim. Kurtosis (21/120)-1.1614000.030800
Trim. Skewness (22/120)0.1122000.681800Trim. Kurtosis (22/120)-1.1581000.033200
Trim. Skewness (23/120)0.1004000.718800Trim. Kurtosis (23/120)-1.1569000.035800
Trim. Skewness (24/120)0.0837000.764200Trim. Kurtosis (24/120)-1.1575000.037600
Trim. Skewness (25/120)0.0602000.833600Trim. Kurtosis (25/120)-1.1669000.038400
Trim. Skewness (26/120)0.0317000.912400Trim. Kurtosis (26/120)-1.1858000.038400
Trim. Skewness (27/120)-0.0125000.960200Trim. Kurtosis (27/120)-1.2186000.035800
Trim. Skewness (28/120)-0.0523000.857200Trim. Kurtosis (28/120)-1.2444000.034800
Trim. Skewness (29/120)-0.0800000.787200Trim. Kurtosis (29/120)-1.2515000.036600
Trim. Skewness (30/120)-0.1004000.741400Trim. Kurtosis (30/120)-1.2467000.040400
Trim. Skewness (31/120)-0.1180000.704000Trim. Kurtosis (31/120)-1.2439000.043400
Trim. Skewness (32/120)-0.1330000.674400Trim. Kurtosis (32/120)-1.2337000.048800
Trim. Skewness (33/120)-0.1366000.667200Trim. Kurtosis (33/120)-1.2196000.056200
Trim. Skewness (34/120)-0.1426000.660000Trim. Kurtosis (34/120)-1.2068000.062800
Trim. Skewness (35/120)-0.1487000.652800Trim. Kurtosis (35/120)-1.1928000.070200
Trim. Skewness (36/120)-0.1585000.638400Trim. Kurtosis (36/120)-1.1823000.078400
Trim. Skewness (37/120)-0.1565000.652800Trim. Kurtosis (37/120)-1.1716000.087200
Trim. Skewness (38/120)-0.1501000.674400Trim. Kurtosis (38/120)-1.1795000.091000
Trim. Skewness (39/120)-0.1480000.681800Trim. Kurtosis (39/120)-1.2188000.087200
Trim. Skewness (40/120)-0.1665000.652800Trim. Kurtosis (40/120)-1.2194000.095000


Figures (Output of Computation)

Input Parameters & R Code

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