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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 14:52:34 +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/t1291128636xw8fq8a3qa8trp1.htm/, Retrieved Mon, 29 Apr 2024 15:24:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103558, Retrieved Mon, 29 Apr 2024 15:24:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112

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 14:52:34] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
31.59
32.69
32.3
32.45
33.21
32.72
32.4
32.05
32.64
33.23
33.77
33.74
33.65
33.92
32.7
32.28
33.34
33.7
33.6
32.55
32.6
32.62
32.3
32.68
33.36
32.81
32.57
31.75
31.61
32.46
32.92
32.45
32.57
32.35
32.9
32.65
32.97
31.8
31.12
31.15
31.25
31.39
31.3
30.97
31.57
30.39
28.75
29.15
28.65
28.1
28.29
28.2
28.05
27.49
27.7
26.87
27.13
26.79
26.5
26.93
26.98
26.65
26.2
25.4
25.35
25.65
25.7
25.75
25.52
26.1
26.23
27.4
27.43
27.45
27.3
26.82
26.81
27.25
27.6
28.25
28.6
28.45
27.65
27.82
27.9
26.5
27.05
27.05
27.6
27.21
27.45
26.66
25.92
25.77
25.89
25.76
26.46
25.65
25.93
25.66
25.44
25.35
25.1
25.03
24.35
24.47
24.55
25.15
25.62
25.5
26.25
26.15
26.55
26.45
26.48
26.2
26.46
26.45
26
26.2

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.8.851915FISHER 4th Cent. Mom.120.992262
FISHER beta 10.107748FISHER beta 21.496171
FISHER gamma 10.328250FISHER gamma 2-1.503829
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.467979FISHER Test 2-3.362664
FISHER Test 1 Probability0.141600FISHER Test 2 Probability0.000800
Pearson 21.238730
Yule using Quartile definition:Weighted Average at Xnp0.540362
Yule using Quartile definition:Weighted Average at X(n+1)p0.544449
Yule using Quartile definition:Empirical Distribution Function0.540362
Yule using Quartile definition:Empirical Distribution Function - Averaging0.544782
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.545117
Yule using Quartile definition:Closest Observation0.540362
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.545117
Yule using Quartile definition:MS Excel (old versions)0.544118
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.332420Kurtosis (small sample)-1.516705
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.504990TEST 1 (small sample)-3.460186
TEST 1 Prob. (small sample)0.131000TEST 1 Prob. (small sample)0.000600
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.8.851915 & FISHER 4th Cent. Mom.120.992262 \tabularnewline FISHER beta 10.107748 & FISHER beta 21.496171 \tabularnewline FISHER gamma 10.328250 & FISHER gamma 2-1.503829 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 11.467979 & FISHER Test 2-3.362664 \tabularnewline FISHER Test 1 Probability0.141600 & FISHER Test 2 Probability0.000800 \tabularnewline Pearson 21.238730 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.540362 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.544449 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.540362 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.544782 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.545117 & & \tabularnewline Yule using Quartile definition:Closest Observation0.540362 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.545117 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.544118 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.332420 & Kurtosis (small sample)-1.516705 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)1.504990 & TEST 1 (small sample)-3.460186 \tabularnewline TEST 1 Prob. (small sample)0.131000 & TEST 1 Prob. (small sample)0.000600 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103558&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]8.851915[/C][C]FISHER 4th Cent. Mom.[/C]120.992262[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.107748[/C][C]FISHER beta 2[/C]1.496171[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.328250[/C][C]FISHER gamma 2[/C]-1.503829[/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]1.467979[/C][C]FISHER Test 2[/C]-3.362664[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.141600[/C][C]FISHER Test 2 Probability[/C]0.000800[/C][/ROW] [ROW][C]Pearson 2[/C]1.238730[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.540362[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.544449[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.540362[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.544782[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.545117[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.540362[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.545117[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.544118[/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]0.332420[/C][C]Kurtosis (small sample)[/C]-1.516705[/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]1.504990[/C][C]TEST 1 (small sample)[/C]-3.460186[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.131000[/C][C]TEST 1 Prob. (small sample)[/C]0.000600[/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=103558&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103558&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.8.851915FISHER 4th Cent. Mom.120.992262
FISHER beta 10.107748FISHER beta 21.496171
FISHER gamma 10.328250FISHER gamma 2-1.503829
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.467979FISHER Test 2-3.362664
FISHER Test 1 Probability0.141600FISHER Test 2 Probability0.000800
Pearson 21.238730
Yule using Quartile definition:Weighted Average at Xnp0.540362
Yule using Quartile definition:Weighted Average at X(n+1)p0.544449
Yule using Quartile definition:Empirical Distribution Function0.540362
Yule using Quartile definition:Empirical Distribution Function - Averaging0.544782
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.545117
Yule using Quartile definition:Closest Observation0.540362
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.545117
Yule using Quartile definition:MS Excel (old versions)0.544118
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.332420Kurtosis (small sample)-1.516705
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.504990TEST 1 (small sample)-3.460186
TEST 1 Prob. (small sample)0.131000TEST 1 Prob. (small sample)0.000600
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.3324000.131000Trim. Kurtosis (0/120)-1.5167000.000600
Trim. Skewness (1/120)0.3444000.121200Trim. Kurtosis (1/120)-1.5244000.000600
Trim. Skewness (2/120)0.3572000.109600Trim. Kurtosis (2/120)-1.5296000.000600
Trim. Skewness (3/120)0.3701000.101000Trim. Kurtosis (3/120)-1.5356000.000600
Trim. Skewness (4/120)0.3773000.097000Trim. Kurtosis (4/120)-1.5364000.000600
Trim. Skewness (5/120)0.3845000.095000Trim. Kurtosis (5/120)-1.5373000.000800
Trim. Skewness (6/120)0.3917000.091000Trim. Kurtosis (6/120)-1.5385000.000800
Trim. Skewness (7/120)0.3997000.087200Trim. Kurtosis (7/120)-1.5334000.001000
Trim. Skewness (8/120)0.4080000.083600Trim. Kurtosis (8/120)-1.5290000.001200
Trim. Skewness (9/120)0.4173000.080200Trim. Kurtosis (9/120)-1.5225000.001200
Trim. Skewness (10/120)0.4267000.076800Trim. Kurtosis (10/120)-1.5162000.001600
Trim. Skewness (11/120)0.4383000.071800Trim. Kurtosis (11/120)-1.5048000.001800
Trim. Skewness (12/120)0.4509000.065800Trim. Kurtosis (12/120)-1.4922000.002200
Trim. Skewness (13/120)0.4631000.061400Trim. Kurtosis (13/120)-1.4784000.002600
Trim. Skewness (14/120)0.4765000.057400Trim. Kurtosis (14/120)-1.4623000.003200
Trim. Skewness (15/120)0.4917000.052400Trim. Kurtosis (15/120)-1.4439000.004000
Trim. Skewness (16/120)0.5079000.047800Trim. Kurtosis (16/120)-1.4242000.005000
Trim. Skewness (17/120)0.5248000.042400Trim. Kurtosis (17/120)-1.4031000.006200
Trim. Skewness (18/120)0.5421000.038400Trim. Kurtosis (18/120)-1.3803000.007800
Trim. Skewness (19/120)0.5609000.034000Trim. Kurtosis (19/120)-1.3557000.009800
Trim. Skewness (20/120)0.5810000.030000Trim. Kurtosis (20/120)-1.3294000.012400
Trim. Skewness (21/120)0.6006000.027200Trim. Kurtosis (21/120)-1.3004000.015600
Trim. Skewness (22/120)0.6213000.023800Trim. Kurtosis (22/120)-1.2690000.019800
Trim. Skewness (23/120)0.6437000.020800Trim. Kurtosis (23/120)-1.2348000.025000
Trim. Skewness (24/120)0.6661000.018200Trim. Kurtosis (24/120)-1.1985000.031600
Trim. Skewness (25/120)0.6882000.016400Trim. Kurtosis (25/120)-1.1595000.040400
Trim. Skewness (26/120)0.7122000.014200Trim. Kurtosis (26/120)-1.1139000.051200
Trim. Skewness (27/120)0.7368000.012400Trim. Kurtosis (27/120)-1.0651000.067200
Trim. Skewness (28/120)0.7624000.010800Trim. Kurtosis (28/120)-1.0142000.085400
Trim. Skewness (29/120)0.7907000.009000Trim. Kurtosis (29/120)-0.9580000.109600
Trim. Skewness (30/120)0.8209000.007800Trim. Kurtosis (30/120)-0.8961000.138800
Trim. Skewness (31/120)0.8534000.006400Trim. Kurtosis (31/120)-0.8281000.180200
Trim. Skewness (32/120)0.8803000.005800Trim. Kurtosis (32/120)-0.7630000.222400
Trim. Skewness (33/120)0.9062000.005200Trim. Kurtosis (33/120)-0.7024000.271400
Trim. Skewness (34/120)0.9415000.004400Trim. Kurtosis (34/120)-0.6122000.342200
Trim. Skewness (35/120)0.9894000.003200Trim. Kurtosis (35/120)-0.4813000.465400
Trim. Skewness (36/120)1.0425000.002400Trim. Kurtosis (36/120)-0.3280000.624200
Trim. Skewness (37/120)1.1067000.001600Trim. Kurtosis (37/120)-0.1308000.841400
Trim. Skewness (38/120)1.1793000.001000Trim. Kurtosis (38/120)0.1045000.880800
Trim. Skewness (39/120)1.2568000.000600Trim. Kurtosis (39/120)0.3799000.589200
Trim. Skewness (40/120)1.3483000.000400Trim. Kurtosis (40/120)0.7522000.303000

\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)0.3324000.131000 & Trim. Kurtosis (0/120)-1.5167000.000600 \tabularnewline Trim. Skewness (1/120)0.3444000.121200 & Trim. Kurtosis (1/120)-1.5244000.000600 \tabularnewline Trim. Skewness (2/120)0.3572000.109600 & Trim. Kurtosis (2/120)-1.5296000.000600 \tabularnewline Trim. Skewness (3/120)0.3701000.101000 & Trim. Kurtosis (3/120)-1.5356000.000600 \tabularnewline Trim. Skewness (4/120)0.3773000.097000 & Trim. Kurtosis (4/120)-1.5364000.000600 \tabularnewline Trim. Skewness (5/120)0.3845000.095000 & Trim. Kurtosis (5/120)-1.5373000.000800 \tabularnewline Trim. Skewness (6/120)0.3917000.091000 & Trim. Kurtosis (6/120)-1.5385000.000800 \tabularnewline Trim. Skewness (7/120)0.3997000.087200 & Trim. Kurtosis (7/120)-1.5334000.001000 \tabularnewline Trim. Skewness (8/120)0.4080000.083600 & Trim. Kurtosis (8/120)-1.5290000.001200 \tabularnewline Trim. Skewness (9/120)0.4173000.080200 & Trim. Kurtosis (9/120)-1.5225000.001200 \tabularnewline Trim. Skewness (10/120)0.4267000.076800 & Trim. Kurtosis (10/120)-1.5162000.001600 \tabularnewline Trim. Skewness (11/120)0.4383000.071800 & Trim. Kurtosis (11/120)-1.5048000.001800 \tabularnewline Trim. Skewness (12/120)0.4509000.065800 & Trim. Kurtosis (12/120)-1.4922000.002200 \tabularnewline Trim. Skewness (13/120)0.4631000.061400 & Trim. Kurtosis (13/120)-1.4784000.002600 \tabularnewline Trim. Skewness (14/120)0.4765000.057400 & Trim. Kurtosis (14/120)-1.4623000.003200 \tabularnewline Trim. Skewness (15/120)0.4917000.052400 & Trim. Kurtosis (15/120)-1.4439000.004000 \tabularnewline Trim. Skewness (16/120)0.5079000.047800 & Trim. Kurtosis (16/120)-1.4242000.005000 \tabularnewline Trim. Skewness (17/120)0.5248000.042400 & Trim. Kurtosis (17/120)-1.4031000.006200 \tabularnewline Trim. Skewness (18/120)0.5421000.038400 & Trim. Kurtosis (18/120)-1.3803000.007800 \tabularnewline Trim. Skewness (19/120)0.5609000.034000 & Trim. Kurtosis (19/120)-1.3557000.009800 \tabularnewline Trim. Skewness (20/120)0.5810000.030000 & Trim. Kurtosis (20/120)-1.3294000.012400 \tabularnewline Trim. Skewness (21/120)0.6006000.027200 & Trim. Kurtosis (21/120)-1.3004000.015600 \tabularnewline Trim. Skewness (22/120)0.6213000.023800 & Trim. Kurtosis (22/120)-1.2690000.019800 \tabularnewline Trim. Skewness (23/120)0.6437000.020800 & Trim. Kurtosis (23/120)-1.2348000.025000 \tabularnewline Trim. Skewness (24/120)0.6661000.018200 & Trim. Kurtosis (24/120)-1.1985000.031600 \tabularnewline Trim. Skewness (25/120)0.6882000.016400 & Trim. Kurtosis (25/120)-1.1595000.040400 \tabularnewline Trim. Skewness (26/120)0.7122000.014200 & Trim. Kurtosis (26/120)-1.1139000.051200 \tabularnewline Trim. Skewness (27/120)0.7368000.012400 & Trim. Kurtosis (27/120)-1.0651000.067200 \tabularnewline Trim. Skewness (28/120)0.7624000.010800 & Trim. Kurtosis (28/120)-1.0142000.085400 \tabularnewline Trim. Skewness (29/120)0.7907000.009000 & Trim. Kurtosis (29/120)-0.9580000.109600 \tabularnewline Trim. Skewness (30/120)0.8209000.007800 & Trim. Kurtosis (30/120)-0.8961000.138800 \tabularnewline Trim. Skewness (31/120)0.8534000.006400 & Trim. Kurtosis (31/120)-0.8281000.180200 \tabularnewline Trim. Skewness (32/120)0.8803000.005800 & Trim. Kurtosis (32/120)-0.7630000.222400 \tabularnewline Trim. Skewness (33/120)0.9062000.005200 & Trim. Kurtosis (33/120)-0.7024000.271400 \tabularnewline Trim. Skewness (34/120)0.9415000.004400 & Trim. Kurtosis (34/120)-0.6122000.342200 \tabularnewline Trim. Skewness (35/120)0.9894000.003200 & Trim. Kurtosis (35/120)-0.4813000.465400 \tabularnewline Trim. Skewness (36/120)1.0425000.002400 & Trim. Kurtosis (36/120)-0.3280000.624200 \tabularnewline Trim. Skewness (37/120)1.1067000.001600 & Trim. Kurtosis (37/120)-0.1308000.841400 \tabularnewline Trim. Skewness (38/120)1.1793000.001000 & Trim. Kurtosis (38/120)0.1045000.880800 \tabularnewline Trim. Skewness (39/120)1.2568000.000600 & Trim. Kurtosis (39/120)0.3799000.589200 \tabularnewline Trim. Skewness (40/120)1.3483000.000400 & Trim. Kurtosis (40/120)0.7522000.303000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103558&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]0.332400[/C]0.131000[/C][C]Trim. Kurtosis (0/120)[/C]-1.516700[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.344400[/C]0.121200[/C][C]Trim. Kurtosis (1/120)[/C]-1.524400[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.357200[/C]0.109600[/C][C]Trim. Kurtosis (2/120)[/C]-1.529600[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.370100[/C]0.101000[/C][C]Trim. Kurtosis (3/120)[/C]-1.535600[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.377300[/C]0.097000[/C][C]Trim. Kurtosis (4/120)[/C]-1.536400[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.384500[/C]0.095000[/C][C]Trim. Kurtosis (5/120)[/C]-1.537300[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.391700[/C]0.091000[/C][C]Trim. Kurtosis (6/120)[/C]-1.538500[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.399700[/C]0.087200[/C][C]Trim. Kurtosis (7/120)[/C]-1.533400[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.408000[/C]0.083600[/C][C]Trim. Kurtosis (8/120)[/C]-1.529000[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.417300[/C]0.080200[/C][C]Trim. Kurtosis (9/120)[/C]-1.522500[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.426700[/C]0.076800[/C][C]Trim. Kurtosis (10/120)[/C]-1.516200[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.438300[/C]0.071800[/C][C]Trim. Kurtosis (11/120)[/C]-1.504800[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.450900[/C]0.065800[/C][C]Trim. Kurtosis (12/120)[/C]-1.492200[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.463100[/C]0.061400[/C][C]Trim. Kurtosis (13/120)[/C]-1.478400[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.476500[/C]0.057400[/C][C]Trim. Kurtosis (14/120)[/C]-1.462300[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.491700[/C]0.052400[/C][C]Trim. Kurtosis (15/120)[/C]-1.443900[/C]0.004000[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.507900[/C]0.047800[/C][C]Trim. Kurtosis (16/120)[/C]-1.424200[/C]0.005000[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.524800[/C]0.042400[/C][C]Trim. Kurtosis (17/120)[/C]-1.403100[/C]0.006200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.542100[/C]0.038400[/C][C]Trim. Kurtosis (18/120)[/C]-1.380300[/C]0.007800[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.560900[/C]0.034000[/C][C]Trim. Kurtosis (19/120)[/C]-1.355700[/C]0.009800[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.581000[/C]0.030000[/C][C]Trim. Kurtosis (20/120)[/C]-1.329400[/C]0.012400[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.600600[/C]0.027200[/C][C]Trim. Kurtosis (21/120)[/C]-1.300400[/C]0.015600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.621300[/C]0.023800[/C][C]Trim. Kurtosis (22/120)[/C]-1.269000[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.643700[/C]0.020800[/C][C]Trim. Kurtosis (23/120)[/C]-1.234800[/C]0.025000[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.666100[/C]0.018200[/C][C]Trim. Kurtosis (24/120)[/C]-1.198500[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.688200[/C]0.016400[/C][C]Trim. Kurtosis (25/120)[/C]-1.159500[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.712200[/C]0.014200[/C][C]Trim. Kurtosis (26/120)[/C]-1.113900[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.736800[/C]0.012400[/C][C]Trim. Kurtosis (27/120)[/C]-1.065100[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.762400[/C]0.010800[/C][C]Trim. Kurtosis (28/120)[/C]-1.014200[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.790700[/C]0.009000[/C][C]Trim. Kurtosis (29/120)[/C]-0.958000[/C]0.109600[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.820900[/C]0.007800[/C][C]Trim. Kurtosis (30/120)[/C]-0.896100[/C]0.138800[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.853400[/C]0.006400[/C][C]Trim. Kurtosis (31/120)[/C]-0.828100[/C]0.180200[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.880300[/C]0.005800[/C][C]Trim. Kurtosis (32/120)[/C]-0.763000[/C]0.222400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.906200[/C]0.005200[/C][C]Trim. Kurtosis (33/120)[/C]-0.702400[/C]0.271400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.941500[/C]0.004400[/C][C]Trim. Kurtosis (34/120)[/C]-0.612200[/C]0.342200[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.989400[/C]0.003200[/C][C]Trim. Kurtosis (35/120)[/C]-0.481300[/C]0.465400[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]1.042500[/C]0.002400[/C][C]Trim. Kurtosis (36/120)[/C]-0.328000[/C]0.624200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]1.106700[/C]0.001600[/C][C]Trim. Kurtosis (37/120)[/C]-0.130800[/C]0.841400[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]1.179300[/C]0.001000[/C][C]Trim. Kurtosis (38/120)[/C]0.104500[/C]0.880800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]1.256800[/C]0.000600[/C][C]Trim. Kurtosis (39/120)[/C]0.379900[/C]0.589200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]1.348300[/C]0.000400[/C][C]Trim. Kurtosis (40/120)[/C]0.752200[/C]0.303000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103558&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103558&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)0.3324000.131000Trim. Kurtosis (0/120)-1.5167000.000600
Trim. Skewness (1/120)0.3444000.121200Trim. Kurtosis (1/120)-1.5244000.000600
Trim. Skewness (2/120)0.3572000.109600Trim. Kurtosis (2/120)-1.5296000.000600
Trim. Skewness (3/120)0.3701000.101000Trim. Kurtosis (3/120)-1.5356000.000600
Trim. Skewness (4/120)0.3773000.097000Trim. Kurtosis (4/120)-1.5364000.000600
Trim. Skewness (5/120)0.3845000.095000Trim. Kurtosis (5/120)-1.5373000.000800
Trim. Skewness (6/120)0.3917000.091000Trim. Kurtosis (6/120)-1.5385000.000800
Trim. Skewness (7/120)0.3997000.087200Trim. Kurtosis (7/120)-1.5334000.001000
Trim. Skewness (8/120)0.4080000.083600Trim. Kurtosis (8/120)-1.5290000.001200
Trim. Skewness (9/120)0.4173000.080200Trim. Kurtosis (9/120)-1.5225000.001200
Trim. Skewness (10/120)0.4267000.076800Trim. Kurtosis (10/120)-1.5162000.001600
Trim. Skewness (11/120)0.4383000.071800Trim. Kurtosis (11/120)-1.5048000.001800
Trim. Skewness (12/120)0.4509000.065800Trim. Kurtosis (12/120)-1.4922000.002200
Trim. Skewness (13/120)0.4631000.061400Trim. Kurtosis (13/120)-1.4784000.002600
Trim. Skewness (14/120)0.4765000.057400Trim. Kurtosis (14/120)-1.4623000.003200
Trim. Skewness (15/120)0.4917000.052400Trim. Kurtosis (15/120)-1.4439000.004000
Trim. Skewness (16/120)0.5079000.047800Trim. Kurtosis (16/120)-1.4242000.005000
Trim. Skewness (17/120)0.5248000.042400Trim. Kurtosis (17/120)-1.4031000.006200
Trim. Skewness (18/120)0.5421000.038400Trim. Kurtosis (18/120)-1.3803000.007800
Trim. Skewness (19/120)0.5609000.034000Trim. Kurtosis (19/120)-1.3557000.009800
Trim. Skewness (20/120)0.5810000.030000Trim. Kurtosis (20/120)-1.3294000.012400
Trim. Skewness (21/120)0.6006000.027200Trim. Kurtosis (21/120)-1.3004000.015600
Trim. Skewness (22/120)0.6213000.023800Trim. Kurtosis (22/120)-1.2690000.019800
Trim. Skewness (23/120)0.6437000.020800Trim. Kurtosis (23/120)-1.2348000.025000
Trim. Skewness (24/120)0.6661000.018200Trim. Kurtosis (24/120)-1.1985000.031600
Trim. Skewness (25/120)0.6882000.016400Trim. Kurtosis (25/120)-1.1595000.040400
Trim. Skewness (26/120)0.7122000.014200Trim. Kurtosis (26/120)-1.1139000.051200
Trim. Skewness (27/120)0.7368000.012400Trim. Kurtosis (27/120)-1.0651000.067200
Trim. Skewness (28/120)0.7624000.010800Trim. Kurtosis (28/120)-1.0142000.085400
Trim. Skewness (29/120)0.7907000.009000Trim. Kurtosis (29/120)-0.9580000.109600
Trim. Skewness (30/120)0.8209000.007800Trim. Kurtosis (30/120)-0.8961000.138800
Trim. Skewness (31/120)0.8534000.006400Trim. Kurtosis (31/120)-0.8281000.180200
Trim. Skewness (32/120)0.8803000.005800Trim. Kurtosis (32/120)-0.7630000.222400
Trim. Skewness (33/120)0.9062000.005200Trim. Kurtosis (33/120)-0.7024000.271400
Trim. Skewness (34/120)0.9415000.004400Trim. Kurtosis (34/120)-0.6122000.342200
Trim. Skewness (35/120)0.9894000.003200Trim. Kurtosis (35/120)-0.4813000.465400
Trim. Skewness (36/120)1.0425000.002400Trim. Kurtosis (36/120)-0.3280000.624200
Trim. Skewness (37/120)1.1067000.001600Trim. Kurtosis (37/120)-0.1308000.841400
Trim. Skewness (38/120)1.1793000.001000Trim. Kurtosis (38/120)0.1045000.880800
Trim. Skewness (39/120)1.2568000.000600Trim. Kurtosis (39/120)0.3799000.589200
Trim. Skewness (40/120)1.3483000.000400Trim. Kurtosis (40/120)0.7522000.303000


Figures (Output of Computation)

Input Parameters & R Code

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