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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 14:53:31 +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/t1291128694yxlj37942e0b1g0.htm/, Retrieved Mon, 29 Apr 2024 11:01:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103560, Retrieved Mon, 29 Apr 2024 11:01:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact126

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 14:53:31] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
63.55
64.12
64.61
63.93
64.06
63.6
62.88
62.14
62.91
62.89
62.72
62.49
62.56
62.49
62.5
62.42
61.94
61.83
61.8
61.37
61.15
61.28
61.02
60.79
61.29
61.49
61.01
60.37
59.96
59.81
59.96
59.94
59.72
59.34
59.56
59.48
59.67
59.63
59.15
58.93
59.04
58.86
59
58.59
58.75
58.32
58.02
58.15
57.81
57.62
57.65
57.4
57.37
57.85
58.48
58.28
58.23
57.73
57.52
57.56
57.36
57.42
56.38
55.2
56.2
55.44
55.43
55.42
55.15
55.51
54.92
55.73
56.11
56.02
55.51
55.64
55.53
56.24
56.64
56.37
56.1
56.41
56.52
56.27
55.82
54.71
55.08
55.05
54.91
54.83
54.2
54.01
53.5
51.97
52.54
52.77
52.72
52.56
52.74
52.16
52.36
51.68
50.54
50.59
50.05
50.22
50.3
50.38
50.58
50.73
51.79
52.11
52.56
52.46
52.82
52.39
52.5
51.83
51.83
51.94

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.940765FISHER 4th Cent. Mom.452.786143
FISHER beta 10.000265FISHER beta 22.024918
FISHER gamma 1-0.016269FISHER gamma 2-0.975082
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.072758FISHER Test 2-2.180350
FISHER Test 1 Probability0.936200FISHER Test 2 Probability0.028600
Pearson 2-0.198677
Yule using Quartile definition:Weighted Average at Xnp-0.109756
Yule using Quartile definition:Weighted Average at X(n+1)p-0.086628
Yule using Quartile definition:Empirical Distribution Function-0.109756
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.066424
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.045221
Yule using Quartile definition:Closest Observation-0.109756
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.045221
Yule using Quartile definition:MS Excel (old versions)-0.105903
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.016476Kurtosis (small sample)-0.965248
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.074593TEST 1 (small sample)-2.202100
TEST 1 Prob. (small sample)0.936200TEST 1 Prob. (small sample)0.027200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-0.940765 & FISHER 4th Cent. Mom.452.786143 \tabularnewline FISHER beta 10.000265 & FISHER beta 22.024918 \tabularnewline FISHER gamma 1-0.016269 & FISHER gamma 2-0.975082 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-0.072758 & FISHER Test 2-2.180350 \tabularnewline FISHER Test 1 Probability0.936200 & FISHER Test 2 Probability0.028600 \tabularnewline Pearson 2-0.198677 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.109756 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.086628 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.109756 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.066424 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.045221 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.109756 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.045221 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.105903 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.016476 & Kurtosis (small sample)-0.965248 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-0.074593 & TEST 1 (small sample)-2.202100 \tabularnewline TEST 1 Prob. (small sample)0.936200 & TEST 1 Prob. (small sample)0.027200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103560&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]-0.940765[/C][C]FISHER 4th Cent. Mom.[/C]452.786143[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.000265[/C][C]FISHER beta 2[/C]2.024918[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.016269[/C][C]FISHER gamma 2[/C]-0.975082[/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]-0.072758[/C][C]FISHER Test 2[/C]-2.180350[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.936200[/C][C]FISHER Test 2 Probability[/C]0.028600[/C][/ROW] [ROW][C]Pearson 2[/C]-0.198677[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.109756[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.086628[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.109756[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.066424[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.045221[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.109756[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.045221[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.105903[/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]-0.016476[/C][C]Kurtosis (small sample)[/C]-0.965248[/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]-0.074593[/C][C]TEST 1 (small sample)[/C]-2.202100[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.936200[/C][C]TEST 1 Prob. (small sample)[/C]0.027200[/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=103560&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103560&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.-0.940765FISHER 4th Cent. Mom.452.786143
FISHER beta 10.000265FISHER beta 22.024918
FISHER gamma 1-0.016269FISHER gamma 2-0.975082
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.072758FISHER Test 2-2.180350
FISHER Test 1 Probability0.936200FISHER Test 2 Probability0.028600
Pearson 2-0.198677
Yule using Quartile definition:Weighted Average at Xnp-0.109756
Yule using Quartile definition:Weighted Average at X(n+1)p-0.086628
Yule using Quartile definition:Empirical Distribution Function-0.109756
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.066424
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.045221
Yule using Quartile definition:Closest Observation-0.109756
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.045221
Yule using Quartile definition:MS Excel (old versions)-0.105903
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.016476Kurtosis (small sample)-0.965248
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.074593TEST 1 (small sample)-2.202100
TEST 1 Prob. (small sample)0.936200TEST 1 Prob. (small sample)0.027200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.0165000.936200Trim. Kurtosis (0/120)-0.9652000.027200
Trim. Skewness (1/120)-0.0254000.904400Trim. Kurtosis (1/120)-0.9749000.027200
Trim. Skewness (2/120)-0.0291000.896600Trim. Kurtosis (2/120)-0.9748000.028600
Trim. Skewness (3/120)-0.0338000.880800Trim. Kurtosis (3/120)-0.9792000.029200
Trim. Skewness (4/120)-0.0382000.865000Trim. Kurtosis (4/120)-0.9871000.029200
Trim. Skewness (5/120)-0.0394000.857200Trim. Kurtosis (5/120)-0.9900000.030000
Trim. Skewness (6/120)-0.0405000.857200Trim. Kurtosis (6/120)-1.0004000.030000
Trim. Skewness (7/120)-0.0281000.904400Trim. Kurtosis (7/120)-1.0040000.030800
Trim. Skewness (8/120)-0.0160000.944200Trim. Kurtosis (8/120)-1.0114000.030800
Trim. Skewness (9/120)-0.0230000.920400Trim. Kurtosis (9/120)-0.9956000.034800
Trim. Skewness (10/120)-0.0299000.896600Trim. Kurtosis (10/120)-0.9763000.040400
Trim. Skewness (11/120)-0.0352000.880800Trim. Kurtosis (11/120)-0.9548000.047800
Trim. Skewness (12/120)-0.0401000.865000Trim. Kurtosis (12/120)-0.9350000.054800
Trim. Skewness (13/120)-0.0483000.841400Trim. Kurtosis (13/120)-0.9166000.061400
Trim. Skewness (14/120)-0.0591000.810400Trim. Kurtosis (14/120)-0.9040000.068800
Trim. Skewness (15/120)-0.0740000.764200Trim. Kurtosis (15/120)-0.8926000.075000
Trim. Skewness (16/120)-0.0837000.741400Trim. Kurtosis (16/120)-0.8755000.083600
Trim. Skewness (17/120)-0.0944000.711400Trim. Kurtosis (17/120)-0.8495000.097000
Trim. Skewness (18/120)-0.1042000.689200Trim. Kurtosis (18/120)-0.8240000.111800
Trim. Skewness (19/120)-0.1173000.652800Trim. Kurtosis (19/120)-0.8025000.126000
Trim. Skewness (20/120)-0.1214000.645600Trim. Kurtosis (20/120)-0.7734000.144200
Trim. Skewness (21/120)-0.1220000.652800Trim. Kurtosis (21/120)-0.7463000.164600
Trim. Skewness (22/120)-0.1185000.660000Trim. Kurtosis (22/120)-0.7277000.180200
Trim. Skewness (23/120)-0.1116000.689200Trim. Kurtosis (23/120)-0.7325000.183600
Trim. Skewness (24/120)-0.1031000.711400Trim. Kurtosis (24/120)-0.7441000.180200
Trim. Skewness (25/120)-0.0817000.771800Trim. Kurtosis (25/120)-0.7898000.161600
Trim. Skewness (26/120)-0.0502000.857200Trim. Kurtosis (26/120)-0.9102000.111800
Trim. Skewness (27/120)0.0142000.960200Trim. Kurtosis (27/120)-1.1256000.052400
Trim. Skewness (28/120)0.0582000.841400Trim. Kurtosis (28/120)-1.2334000.036600
Trim. Skewness (29/120)0.0937000.756600Trim. Kurtosis (29/120)-1.2658000.034000
Trim. Skewness (30/120)0.1239000.681800Trim. Kurtosis (30/120)-1.3018000.032400
Trim. Skewness (31/120)0.1229000.689200Trim. Kurtosis (31/120)-1.3054000.034000
Trim. Skewness (32/120)0.1215000.696600Trim. Kurtosis (32/120)-1.3007000.037600
Trim. Skewness (33/120)0.1194000.711400Trim. Kurtosis (33/120)-1.2932000.042400
Trim. Skewness (34/120)0.1181000.718800Trim. Kurtosis (34/120)-1.2937000.046600
Trim. Skewness (35/120)0.1073000.749000Trim. Kurtosis (35/120)-1.2978000.048800
Trim. Skewness (36/120)0.0947000.779400Trim. Kurtosis (36/120)-1.3122000.051200
Trim. Skewness (37/120)0.0771000.818000Trim. Kurtosis (37/120)-1.3362000.051200
Trim. Skewness (38/120)0.0631000.857200Trim. Kurtosis (38/120)-1.3607000.052400
Trim. Skewness (39/120)0.0444000.896600Trim. Kurtosis (39/120)-1.3517000.058800
Trim. Skewness (40/120)0.0298000.936200Trim. Kurtosis (40/120)-1.3378000.067200

\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)-0.0165000.936200 & Trim. Kurtosis (0/120)-0.9652000.027200 \tabularnewline Trim. Skewness (1/120)-0.0254000.904400 & Trim. Kurtosis (1/120)-0.9749000.027200 \tabularnewline Trim. Skewness (2/120)-0.0291000.896600 & Trim. Kurtosis (2/120)-0.9748000.028600 \tabularnewline Trim. Skewness (3/120)-0.0338000.880800 & Trim. Kurtosis (3/120)-0.9792000.029200 \tabularnewline Trim. Skewness (4/120)-0.0382000.865000 & Trim. Kurtosis (4/120)-0.9871000.029200 \tabularnewline Trim. Skewness (5/120)-0.0394000.857200 & Trim. Kurtosis (5/120)-0.9900000.030000 \tabularnewline Trim. Skewness (6/120)-0.0405000.857200 & Trim. Kurtosis (6/120)-1.0004000.030000 \tabularnewline Trim. Skewness (7/120)-0.0281000.904400 & Trim. Kurtosis (7/120)-1.0040000.030800 \tabularnewline Trim. Skewness (8/120)-0.0160000.944200 & Trim. Kurtosis (8/120)-1.0114000.030800 \tabularnewline Trim. Skewness (9/120)-0.0230000.920400 & Trim. Kurtosis (9/120)-0.9956000.034800 \tabularnewline Trim. Skewness (10/120)-0.0299000.896600 & Trim. Kurtosis (10/120)-0.9763000.040400 \tabularnewline Trim. Skewness (11/120)-0.0352000.880800 & Trim. Kurtosis (11/120)-0.9548000.047800 \tabularnewline Trim. Skewness (12/120)-0.0401000.865000 & Trim. Kurtosis (12/120)-0.9350000.054800 \tabularnewline Trim. Skewness (13/120)-0.0483000.841400 & Trim. Kurtosis (13/120)-0.9166000.061400 \tabularnewline Trim. Skewness (14/120)-0.0591000.810400 & Trim. Kurtosis (14/120)-0.9040000.068800 \tabularnewline Trim. Skewness (15/120)-0.0740000.764200 & Trim. Kurtosis (15/120)-0.8926000.075000 \tabularnewline Trim. Skewness (16/120)-0.0837000.741400 & Trim. Kurtosis (16/120)-0.8755000.083600 \tabularnewline Trim. Skewness (17/120)-0.0944000.711400 & Trim. Kurtosis (17/120)-0.8495000.097000 \tabularnewline Trim. Skewness (18/120)-0.1042000.689200 & Trim. Kurtosis (18/120)-0.8240000.111800 \tabularnewline Trim. Skewness (19/120)-0.1173000.652800 & Trim. Kurtosis (19/120)-0.8025000.126000 \tabularnewline Trim. Skewness (20/120)-0.1214000.645600 & Trim. Kurtosis (20/120)-0.7734000.144200 \tabularnewline Trim. Skewness (21/120)-0.1220000.652800 & Trim. Kurtosis (21/120)-0.7463000.164600 \tabularnewline Trim. Skewness (22/120)-0.1185000.660000 & Trim. Kurtosis (22/120)-0.7277000.180200 \tabularnewline Trim. Skewness (23/120)-0.1116000.689200 & Trim. Kurtosis (23/120)-0.7325000.183600 \tabularnewline Trim. Skewness (24/120)-0.1031000.711400 & Trim. Kurtosis (24/120)-0.7441000.180200 \tabularnewline Trim. Skewness (25/120)-0.0817000.771800 & Trim. Kurtosis (25/120)-0.7898000.161600 \tabularnewline Trim. Skewness (26/120)-0.0502000.857200 & Trim. Kurtosis (26/120)-0.9102000.111800 \tabularnewline Trim. Skewness (27/120)0.0142000.960200 & Trim. Kurtosis (27/120)-1.1256000.052400 \tabularnewline Trim. Skewness (28/120)0.0582000.841400 & Trim. Kurtosis (28/120)-1.2334000.036600 \tabularnewline Trim. Skewness (29/120)0.0937000.756600 & Trim. Kurtosis (29/120)-1.2658000.034000 \tabularnewline Trim. Skewness (30/120)0.1239000.681800 & Trim. Kurtosis (30/120)-1.3018000.032400 \tabularnewline Trim. Skewness (31/120)0.1229000.689200 & Trim. Kurtosis (31/120)-1.3054000.034000 \tabularnewline Trim. Skewness (32/120)0.1215000.696600 & Trim. Kurtosis (32/120)-1.3007000.037600 \tabularnewline Trim. Skewness (33/120)0.1194000.711400 & Trim. Kurtosis (33/120)-1.2932000.042400 \tabularnewline Trim. Skewness (34/120)0.1181000.718800 & Trim. Kurtosis (34/120)-1.2937000.046600 \tabularnewline Trim. Skewness (35/120)0.1073000.749000 & Trim. Kurtosis (35/120)-1.2978000.048800 \tabularnewline Trim. Skewness (36/120)0.0947000.779400 & Trim. Kurtosis (36/120)-1.3122000.051200 \tabularnewline Trim. Skewness (37/120)0.0771000.818000 & Trim. Kurtosis (37/120)-1.3362000.051200 \tabularnewline Trim. Skewness (38/120)0.0631000.857200 & Trim. Kurtosis (38/120)-1.3607000.052400 \tabularnewline Trim. Skewness (39/120)0.0444000.896600 & Trim. Kurtosis (39/120)-1.3517000.058800 \tabularnewline Trim. Skewness (40/120)0.0298000.936200 & Trim. Kurtosis (40/120)-1.3378000.067200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103560&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]-0.016500[/C]0.936200[/C][C]Trim. Kurtosis (0/120)[/C]-0.965200[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.025400[/C]0.904400[/C][C]Trim. Kurtosis (1/120)[/C]-0.974900[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.029100[/C]0.896600[/C][C]Trim. Kurtosis (2/120)[/C]-0.974800[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.033800[/C]0.880800[/C][C]Trim. Kurtosis (3/120)[/C]-0.979200[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.038200[/C]0.865000[/C][C]Trim. Kurtosis (4/120)[/C]-0.987100[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.039400[/C]0.857200[/C][C]Trim. Kurtosis (5/120)[/C]-0.990000[/C]0.030000[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.040500[/C]0.857200[/C][C]Trim. Kurtosis (6/120)[/C]-1.000400[/C]0.030000[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.028100[/C]0.904400[/C][C]Trim. Kurtosis (7/120)[/C]-1.004000[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.016000[/C]0.944200[/C][C]Trim. Kurtosis (8/120)[/C]-1.011400[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.023000[/C]0.920400[/C][C]Trim. Kurtosis (9/120)[/C]-0.995600[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.029900[/C]0.896600[/C][C]Trim. Kurtosis (10/120)[/C]-0.976300[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.035200[/C]0.880800[/C][C]Trim. Kurtosis (11/120)[/C]-0.954800[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.040100[/C]0.865000[/C][C]Trim. Kurtosis (12/120)[/C]-0.935000[/C]0.054800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.048300[/C]0.841400[/C][C]Trim. Kurtosis (13/120)[/C]-0.916600[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.059100[/C]0.810400[/C][C]Trim. Kurtosis (14/120)[/C]-0.904000[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.074000[/C]0.764200[/C][C]Trim. Kurtosis (15/120)[/C]-0.892600[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.083700[/C]0.741400[/C][C]Trim. Kurtosis (16/120)[/C]-0.875500[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.094400[/C]0.711400[/C][C]Trim. Kurtosis (17/120)[/C]-0.849500[/C]0.097000[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.104200[/C]0.689200[/C][C]Trim. Kurtosis (18/120)[/C]-0.824000[/C]0.111800[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.117300[/C]0.652800[/C][C]Trim. Kurtosis (19/120)[/C]-0.802500[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.121400[/C]0.645600[/C][C]Trim. Kurtosis (20/120)[/C]-0.773400[/C]0.144200[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.122000[/C]0.652800[/C][C]Trim. Kurtosis (21/120)[/C]-0.746300[/C]0.164600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.118500[/C]0.660000[/C][C]Trim. Kurtosis (22/120)[/C]-0.727700[/C]0.180200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.111600[/C]0.689200[/C][C]Trim. Kurtosis (23/120)[/C]-0.732500[/C]0.183600[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.103100[/C]0.711400[/C][C]Trim. Kurtosis (24/120)[/C]-0.744100[/C]0.180200[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.081700[/C]0.771800[/C][C]Trim. Kurtosis (25/120)[/C]-0.789800[/C]0.161600[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.050200[/C]0.857200[/C][C]Trim. Kurtosis (26/120)[/C]-0.910200[/C]0.111800[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.014200[/C]0.960200[/C][C]Trim. Kurtosis (27/120)[/C]-1.125600[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.058200[/C]0.841400[/C][C]Trim. Kurtosis (28/120)[/C]-1.233400[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.093700[/C]0.756600[/C][C]Trim. Kurtosis (29/120)[/C]-1.265800[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.123900[/C]0.681800[/C][C]Trim. Kurtosis (30/120)[/C]-1.301800[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.122900[/C]0.689200[/C][C]Trim. Kurtosis (31/120)[/C]-1.305400[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.121500[/C]0.696600[/C][C]Trim. Kurtosis (32/120)[/C]-1.300700[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.119400[/C]0.711400[/C][C]Trim. Kurtosis (33/120)[/C]-1.293200[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.118100[/C]0.718800[/C][C]Trim. Kurtosis (34/120)[/C]-1.293700[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.107300[/C]0.749000[/C][C]Trim. Kurtosis (35/120)[/C]-1.297800[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.094700[/C]0.779400[/C][C]Trim. Kurtosis (36/120)[/C]-1.312200[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.077100[/C]0.818000[/C][C]Trim. Kurtosis (37/120)[/C]-1.336200[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.063100[/C]0.857200[/C][C]Trim. Kurtosis (38/120)[/C]-1.360700[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.044400[/C]0.896600[/C][C]Trim. Kurtosis (39/120)[/C]-1.351700[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.029800[/C]0.936200[/C][C]Trim. Kurtosis (40/120)[/C]-1.337800[/C]0.067200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103560&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103560&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)-0.0165000.936200Trim. Kurtosis (0/120)-0.9652000.027200
Trim. Skewness (1/120)-0.0254000.904400Trim. Kurtosis (1/120)-0.9749000.027200
Trim. Skewness (2/120)-0.0291000.896600Trim. Kurtosis (2/120)-0.9748000.028600
Trim. Skewness (3/120)-0.0338000.880800Trim. Kurtosis (3/120)-0.9792000.029200
Trim. Skewness (4/120)-0.0382000.865000Trim. Kurtosis (4/120)-0.9871000.029200
Trim. Skewness (5/120)-0.0394000.857200Trim. Kurtosis (5/120)-0.9900000.030000
Trim. Skewness (6/120)-0.0405000.857200Trim. Kurtosis (6/120)-1.0004000.030000
Trim. Skewness (7/120)-0.0281000.904400Trim. Kurtosis (7/120)-1.0040000.030800
Trim. Skewness (8/120)-0.0160000.944200Trim. Kurtosis (8/120)-1.0114000.030800
Trim. Skewness (9/120)-0.0230000.920400Trim. Kurtosis (9/120)-0.9956000.034800
Trim. Skewness (10/120)-0.0299000.896600Trim. Kurtosis (10/120)-0.9763000.040400
Trim. Skewness (11/120)-0.0352000.880800Trim. Kurtosis (11/120)-0.9548000.047800
Trim. Skewness (12/120)-0.0401000.865000Trim. Kurtosis (12/120)-0.9350000.054800
Trim. Skewness (13/120)-0.0483000.841400Trim. Kurtosis (13/120)-0.9166000.061400
Trim. Skewness (14/120)-0.0591000.810400Trim. Kurtosis (14/120)-0.9040000.068800
Trim. Skewness (15/120)-0.0740000.764200Trim. Kurtosis (15/120)-0.8926000.075000
Trim. Skewness (16/120)-0.0837000.741400Trim. Kurtosis (16/120)-0.8755000.083600
Trim. Skewness (17/120)-0.0944000.711400Trim. Kurtosis (17/120)-0.8495000.097000
Trim. Skewness (18/120)-0.1042000.689200Trim. Kurtosis (18/120)-0.8240000.111800
Trim. Skewness (19/120)-0.1173000.652800Trim. Kurtosis (19/120)-0.8025000.126000
Trim. Skewness (20/120)-0.1214000.645600Trim. Kurtosis (20/120)-0.7734000.144200
Trim. Skewness (21/120)-0.1220000.652800Trim. Kurtosis (21/120)-0.7463000.164600
Trim. Skewness (22/120)-0.1185000.660000Trim. Kurtosis (22/120)-0.7277000.180200
Trim. Skewness (23/120)-0.1116000.689200Trim. Kurtosis (23/120)-0.7325000.183600
Trim. Skewness (24/120)-0.1031000.711400Trim. Kurtosis (24/120)-0.7441000.180200
Trim. Skewness (25/120)-0.0817000.771800Trim. Kurtosis (25/120)-0.7898000.161600
Trim. Skewness (26/120)-0.0502000.857200Trim. Kurtosis (26/120)-0.9102000.111800
Trim. Skewness (27/120)0.0142000.960200Trim. Kurtosis (27/120)-1.1256000.052400
Trim. Skewness (28/120)0.0582000.841400Trim. Kurtosis (28/120)-1.2334000.036600
Trim. Skewness (29/120)0.0937000.756600Trim. Kurtosis (29/120)-1.2658000.034000
Trim. Skewness (30/120)0.1239000.681800Trim. Kurtosis (30/120)-1.3018000.032400
Trim. Skewness (31/120)0.1229000.689200Trim. Kurtosis (31/120)-1.3054000.034000
Trim. Skewness (32/120)0.1215000.696600Trim. Kurtosis (32/120)-1.3007000.037600
Trim. Skewness (33/120)0.1194000.711400Trim. Kurtosis (33/120)-1.2932000.042400
Trim. Skewness (34/120)0.1181000.718800Trim. Kurtosis (34/120)-1.2937000.046600
Trim. Skewness (35/120)0.1073000.749000Trim. Kurtosis (35/120)-1.2978000.048800
Trim. Skewness (36/120)0.0947000.779400Trim. Kurtosis (36/120)-1.3122000.051200
Trim. Skewness (37/120)0.0771000.818000Trim. Kurtosis (37/120)-1.3362000.051200
Trim. Skewness (38/120)0.0631000.857200Trim. Kurtosis (38/120)-1.3607000.052400
Trim. Skewness (39/120)0.0444000.896600Trim. Kurtosis (39/120)-1.3517000.058800
Trim. Skewness (40/120)0.0298000.936200Trim. Kurtosis (40/120)-1.3378000.067200


Figures (Output of Computation)

Input Parameters & R Code

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