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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 14:57:03 +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/t1291128904s5z7vc9h2bmu5uk.htm/, Retrieved Mon, 29 Apr 2024 16:31:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103569, Retrieved Mon, 29 Apr 2024 16:31:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111

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 14:57:03] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
41.07
41.25
41.76
41.61
42.64
42.3
42.26
41.64
42.06
41.99
42.19
42.5
42.82
44.54
45.41
43.19
44.06
42.18
42.1
41.94
41.95
42
41.86
40.84
41.95
41.92
41.79
41.33
41.8
41.63
42.3
42.72
41.97
40.86
41.16
40.75
40.61
39.81
39.47
38.81
38.99
39.95
37.24
37.27
36.9
35.54
35.51
36.5
36.66
35.65
35.86
36.12
36.12
36.84
36.96
36.25
36.9
35.55
36.47
36.7
36.52
35.56
34.69
33.84
35.15
34.23
33.82
34.52
34.64
35.27
35.23
36.84
36.37
36.59
36.31
37.2
37.08
39.12
41.03
40.92
40.52
39.78
39.87
40.05
39.1
38.33
39.39
38.9
38.84
36.67
36.46
35.95
36.67
34.72
35.72
36.69
37.51
37.61
36.56
35.72
35.49
35.67
33.84
33.71
33.1
34.09
34.41
34.53
35.62
37.23
36.92
37.7
38.02
38.57
38.37
37.77
38.04
37.43
37.27
35.22

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.5.724462FISHER 4th Cent. Mom.137.236179
FISHER beta 10.053134FISHER beta 21.894100
FISHER gamma 10.230508FISHER gamma 2-1.105900
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.030862FISHER Test 2-2.472867
FISHER Test 1 Probability0.298400FISHER Test 2 Probability0.013200
Pearson 20.797076
Yule using Quartile definition:Weighted Average at Xnp0.401559
Yule using Quartile definition:Weighted Average at X(n+1)p0.408478
Yule using Quartile definition:Empirical Distribution Function0.401559
Yule using Quartile definition:Empirical Distribution Function - Averaging0.406190
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.403883
Yule using Quartile definition:Closest Observation0.401559
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.403883
Yule using Quartile definition:MS Excel (old versions)0.410749
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.233436Kurtosis (small sample)-1.101684
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.056852TEST 1 (small sample)-2.513364
TEST 1 Prob. (small sample)0.289200TEST 1 Prob. (small sample)0.011800
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.5.724462 & FISHER 4th Cent. Mom.137.236179 \tabularnewline FISHER beta 10.053134 & FISHER beta 21.894100 \tabularnewline FISHER gamma 10.230508 & FISHER gamma 2-1.105900 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 11.030862 & FISHER Test 2-2.472867 \tabularnewline FISHER Test 1 Probability0.298400 & FISHER Test 2 Probability0.013200 \tabularnewline Pearson 20.797076 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.401559 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.408478 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.401559 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.406190 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.403883 & & \tabularnewline Yule using Quartile definition:Closest Observation0.401559 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.403883 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.410749 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.233436 & Kurtosis (small sample)-1.101684 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)1.056852 & TEST 1 (small sample)-2.513364 \tabularnewline TEST 1 Prob. (small sample)0.289200 & TEST 1 Prob. (small sample)0.011800 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103569&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]5.724462[/C][C]FISHER 4th Cent. Mom.[/C]137.236179[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.053134[/C][C]FISHER beta 2[/C]1.894100[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.230508[/C][C]FISHER gamma 2[/C]-1.105900[/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]1.030862[/C][C]FISHER Test 2[/C]-2.472867[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.298400[/C][C]FISHER Test 2 Probability[/C]0.013200[/C][/ROW] [ROW][C]Pearson 2[/C]0.797076[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.401559[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.408478[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.401559[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.406190[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.403883[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.401559[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.403883[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.410749[/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]0.233436[/C][C]Kurtosis (small sample)[/C]-1.101684[/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]1.056852[/C][C]TEST 1 (small sample)[/C]-2.513364[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.289200[/C][C]TEST 1 Prob. (small sample)[/C]0.011800[/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=103569&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103569&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.5.724462FISHER 4th Cent. Mom.137.236179
FISHER beta 10.053134FISHER beta 21.894100
FISHER gamma 10.230508FISHER gamma 2-1.105900
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.030862FISHER Test 2-2.472867
FISHER Test 1 Probability0.298400FISHER Test 2 Probability0.013200
Pearson 20.797076
Yule using Quartile definition:Weighted Average at Xnp0.401559
Yule using Quartile definition:Weighted Average at X(n+1)p0.408478
Yule using Quartile definition:Empirical Distribution Function0.401559
Yule using Quartile definition:Empirical Distribution Function - Averaging0.406190
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.403883
Yule using Quartile definition:Closest Observation0.401559
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.403883
Yule using Quartile definition:MS Excel (old versions)0.410749
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.233436Kurtosis (small sample)-1.101684
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.056852TEST 1 (small sample)-2.513364
TEST 1 Prob. (small sample)0.289200TEST 1 Prob. (small sample)0.011800
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.2334000.289200Trim. Kurtosis (0/120)-1.1017000.011800
Trim. Skewness (1/120)0.2042000.357600Trim. Kurtosis (1/120)-1.2389000.005000
Trim. Skewness (2/120)0.1850000.406600Trim. Kurtosis (2/120)-1.3080000.003200
Trim. Skewness (3/120)0.1738000.441200Trim. Kurtosis (3/120)-1.3593000.002400
Trim. Skewness (4/120)0.1818000.423800Trim. Kurtosis (4/120)-1.3768000.002400
Trim. Skewness (5/120)0.1977000.389800Trim. Kurtosis (5/120)-1.3897000.002200
Trim. Skewness (6/120)0.2113000.362800Trim. Kurtosis (6/120)-1.3970000.002400
Trim. Skewness (7/120)0.2245000.337000Trim. Kurtosis (7/120)-1.4025000.002600
Trim. Skewness (8/120)0.2374000.312400Trim. Kurtosis (8/120)-1.4029000.002800
Trim. Skewness (9/120)0.2522000.289200Trim. Kurtosis (9/120)-1.3987000.003000
Trim. Skewness (10/120)0.2687000.262800Trim. Kurtosis (10/120)-1.3967000.003400
Trim. Skewness (11/120)0.2851000.242000Trim. Kurtosis (11/120)-1.3934000.003800
Trim. Skewness (12/120)0.3032000.215000Trim. Kurtosis (12/120)-1.3896000.004400
Trim. Skewness (13/120)0.3231000.193600Trim. Kurtosis (13/120)-1.3878000.004800
Trim. Skewness (14/120)0.3354000.180200Trim. Kurtosis (14/120)-1.3751000.005600
Trim. Skewness (15/120)0.3479000.170600Trim. Kurtosis (15/120)-1.3609000.006800
Trim. Skewness (16/120)0.3622000.155600Trim. Kurtosis (16/120)-1.3456000.008000
Trim. Skewness (17/120)0.3771000.144200Trim. Kurtosis (17/120)-1.3300000.009600
Trim. Skewness (18/120)0.3882000.138800Trim. Kurtosis (18/120)-1.3109000.011400
Trim. Skewness (19/120)0.3998000.131000Trim. Kurtosis (19/120)-1.2913000.013800
Trim. Skewness (20/120)0.4112000.126000Trim. Kurtosis (20/120)-1.2722000.016400
Trim. Skewness (21/120)0.4229000.118800Trim. Kurtosis (21/120)-1.2543000.019200
Trim. Skewness (22/120)0.4351000.114200Trim. Kurtosis (22/120)-1.2378000.022600
Trim. Skewness (23/120)0.4476000.107400Trim. Kurtosis (23/120)-1.2200000.026400
Trim. Skewness (24/120)0.4614000.101000Trim. Kurtosis (24/120)-1.2014000.031600
Trim. Skewness (25/120)0.4749000.097000Trim. Kurtosis (25/120)-1.1869000.035800
Trim. Skewness (26/120)0.4874000.093000Trim. Kurtosis (26/120)-1.1766000.040400
Trim. Skewness (27/120)0.5050000.085400Trim. Kurtosis (27/120)-1.1637000.045600
Trim. Skewness (28/120)0.5165000.083600Trim. Kurtosis (28/120)-1.1576000.048800
Trim. Skewness (29/120)0.5224000.085400Trim. Kurtosis (29/120)-1.1639000.051200
Trim. Skewness (30/120)0.5336000.083600Trim. Kurtosis (30/120)-1.1425000.060200
Trim. Skewness (31/120)0.5473000.080200Trim. Kurtosis (31/120)-1.1200000.068800
Trim. Skewness (32/120)0.5581000.080200Trim. Kurtosis (32/120)-1.0933000.080200
Trim. Skewness (33/120)0.5686000.078400Trim. Kurtosis (33/120)-1.0625000.095000
Trim. Skewness (34/120)0.5747000.081800Trim. Kurtosis (34/120)-1.0377000.109600
Trim. Skewness (35/120)0.5789000.085400Trim. Kurtosis (35/120)-1.0078000.126000
Trim. Skewness (36/120)0.5796000.091000Trim. Kurtosis (36/120)-0.9847000.141600
Trim. Skewness (37/120)0.5684000.103200Trim. Kurtosis (37/120)-0.9922000.147000
Trim. Skewness (38/120)0.5482000.123600Trim. Kurtosis (38/120)-1.0267000.141600
Trim. Skewness (39/120)0.5212000.152800Trim. Kurtosis (39/120)-1.0808000.131000
Trim. Skewness (40/120)0.4745000.204000Trim. Kurtosis (40/120)-1.2017000.099000

\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)0.2334000.289200 & Trim. Kurtosis (0/120)-1.1017000.011800 \tabularnewline Trim. Skewness (1/120)0.2042000.357600 & Trim. Kurtosis (1/120)-1.2389000.005000 \tabularnewline Trim. Skewness (2/120)0.1850000.406600 & Trim. Kurtosis (2/120)-1.3080000.003200 \tabularnewline Trim. Skewness (3/120)0.1738000.441200 & Trim. Kurtosis (3/120)-1.3593000.002400 \tabularnewline Trim. Skewness (4/120)0.1818000.423800 & Trim. Kurtosis (4/120)-1.3768000.002400 \tabularnewline Trim. Skewness (5/120)0.1977000.389800 & Trim. Kurtosis (5/120)-1.3897000.002200 \tabularnewline Trim. Skewness (6/120)0.2113000.362800 & Trim. Kurtosis (6/120)-1.3970000.002400 \tabularnewline Trim. Skewness (7/120)0.2245000.337000 & Trim. Kurtosis (7/120)-1.4025000.002600 \tabularnewline Trim. Skewness (8/120)0.2374000.312400 & Trim. Kurtosis (8/120)-1.4029000.002800 \tabularnewline Trim. Skewness (9/120)0.2522000.289200 & Trim. Kurtosis (9/120)-1.3987000.003000 \tabularnewline Trim. Skewness (10/120)0.2687000.262800 & Trim. Kurtosis (10/120)-1.3967000.003400 \tabularnewline Trim. Skewness (11/120)0.2851000.242000 & Trim. Kurtosis (11/120)-1.3934000.003800 \tabularnewline Trim. Skewness (12/120)0.3032000.215000 & Trim. Kurtosis (12/120)-1.3896000.004400 \tabularnewline Trim. Skewness (13/120)0.3231000.193600 & Trim. Kurtosis (13/120)-1.3878000.004800 \tabularnewline Trim. Skewness (14/120)0.3354000.180200 & Trim. Kurtosis (14/120)-1.3751000.005600 \tabularnewline Trim. Skewness (15/120)0.3479000.170600 & Trim. Kurtosis (15/120)-1.3609000.006800 \tabularnewline Trim. Skewness (16/120)0.3622000.155600 & Trim. Kurtosis (16/120)-1.3456000.008000 \tabularnewline Trim. Skewness (17/120)0.3771000.144200 & Trim. Kurtosis (17/120)-1.3300000.009600 \tabularnewline Trim. Skewness (18/120)0.3882000.138800 & Trim. Kurtosis (18/120)-1.3109000.011400 \tabularnewline Trim. Skewness (19/120)0.3998000.131000 & Trim. Kurtosis (19/120)-1.2913000.013800 \tabularnewline Trim. Skewness (20/120)0.4112000.126000 & Trim. Kurtosis (20/120)-1.2722000.016400 \tabularnewline Trim. Skewness (21/120)0.4229000.118800 & Trim. Kurtosis (21/120)-1.2543000.019200 \tabularnewline Trim. Skewness (22/120)0.4351000.114200 & Trim. Kurtosis (22/120)-1.2378000.022600 \tabularnewline Trim. Skewness (23/120)0.4476000.107400 & Trim. Kurtosis (23/120)-1.2200000.026400 \tabularnewline Trim. Skewness (24/120)0.4614000.101000 & Trim. Kurtosis (24/120)-1.2014000.031600 \tabularnewline Trim. Skewness (25/120)0.4749000.097000 & Trim. Kurtosis (25/120)-1.1869000.035800 \tabularnewline Trim. Skewness (26/120)0.4874000.093000 & Trim. Kurtosis (26/120)-1.1766000.040400 \tabularnewline Trim. Skewness (27/120)0.5050000.085400 & Trim. Kurtosis (27/120)-1.1637000.045600 \tabularnewline Trim. Skewness (28/120)0.5165000.083600 & Trim. Kurtosis (28/120)-1.1576000.048800 \tabularnewline Trim. Skewness (29/120)0.5224000.085400 & Trim. Kurtosis (29/120)-1.1639000.051200 \tabularnewline Trim. Skewness (30/120)0.5336000.083600 & Trim. Kurtosis (30/120)-1.1425000.060200 \tabularnewline Trim. Skewness (31/120)0.5473000.080200 & Trim. Kurtosis (31/120)-1.1200000.068800 \tabularnewline Trim. Skewness (32/120)0.5581000.080200 & Trim. Kurtosis (32/120)-1.0933000.080200 \tabularnewline Trim. Skewness (33/120)0.5686000.078400 & Trim. Kurtosis (33/120)-1.0625000.095000 \tabularnewline Trim. Skewness (34/120)0.5747000.081800 & Trim. Kurtosis (34/120)-1.0377000.109600 \tabularnewline Trim. Skewness (35/120)0.5789000.085400 & Trim. Kurtosis (35/120)-1.0078000.126000 \tabularnewline Trim. Skewness (36/120)0.5796000.091000 & Trim. Kurtosis (36/120)-0.9847000.141600 \tabularnewline Trim. Skewness (37/120)0.5684000.103200 & Trim. Kurtosis (37/120)-0.9922000.147000 \tabularnewline Trim. Skewness (38/120)0.5482000.123600 & Trim. Kurtosis (38/120)-1.0267000.141600 \tabularnewline Trim. Skewness (39/120)0.5212000.152800 & Trim. Kurtosis (39/120)-1.0808000.131000 \tabularnewline Trim. Skewness (40/120)0.4745000.204000 & Trim. Kurtosis (40/120)-1.2017000.099000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103569&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]0.233400[/C]0.289200[/C][C]Trim. Kurtosis (0/120)[/C]-1.101700[/C]0.011800[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.204200[/C]0.357600[/C][C]Trim. Kurtosis (1/120)[/C]-1.238900[/C]0.005000[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.185000[/C]0.406600[/C][C]Trim. Kurtosis (2/120)[/C]-1.308000[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.173800[/C]0.441200[/C][C]Trim. Kurtosis (3/120)[/C]-1.359300[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.181800[/C]0.423800[/C][C]Trim. Kurtosis (4/120)[/C]-1.376800[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.197700[/C]0.389800[/C][C]Trim. Kurtosis (5/120)[/C]-1.389700[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.211300[/C]0.362800[/C][C]Trim. Kurtosis (6/120)[/C]-1.397000[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.224500[/C]0.337000[/C][C]Trim. Kurtosis (7/120)[/C]-1.402500[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.237400[/C]0.312400[/C][C]Trim. Kurtosis (8/120)[/C]-1.402900[/C]0.002800[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.252200[/C]0.289200[/C][C]Trim. Kurtosis (9/120)[/C]-1.398700[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.268700[/C]0.262800[/C][C]Trim. Kurtosis (10/120)[/C]-1.396700[/C]0.003400[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.285100[/C]0.242000[/C][C]Trim. Kurtosis (11/120)[/C]-1.393400[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.303200[/C]0.215000[/C][C]Trim. Kurtosis (12/120)[/C]-1.389600[/C]0.004400[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.323100[/C]0.193600[/C][C]Trim. Kurtosis (13/120)[/C]-1.387800[/C]0.004800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.335400[/C]0.180200[/C][C]Trim. Kurtosis (14/120)[/C]-1.375100[/C]0.005600[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.347900[/C]0.170600[/C][C]Trim. Kurtosis (15/120)[/C]-1.360900[/C]0.006800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.362200[/C]0.155600[/C][C]Trim. Kurtosis (16/120)[/C]-1.345600[/C]0.008000[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.377100[/C]0.144200[/C][C]Trim. Kurtosis (17/120)[/C]-1.330000[/C]0.009600[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.388200[/C]0.138800[/C][C]Trim. Kurtosis (18/120)[/C]-1.310900[/C]0.011400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.399800[/C]0.131000[/C][C]Trim. Kurtosis (19/120)[/C]-1.291300[/C]0.013800[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.411200[/C]0.126000[/C][C]Trim. Kurtosis (20/120)[/C]-1.272200[/C]0.016400[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.422900[/C]0.118800[/C][C]Trim. Kurtosis (21/120)[/C]-1.254300[/C]0.019200[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.435100[/C]0.114200[/C][C]Trim. Kurtosis (22/120)[/C]-1.237800[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.447600[/C]0.107400[/C][C]Trim. Kurtosis (23/120)[/C]-1.220000[/C]0.026400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.461400[/C]0.101000[/C][C]Trim. Kurtosis (24/120)[/C]-1.201400[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.474900[/C]0.097000[/C][C]Trim. Kurtosis (25/120)[/C]-1.186900[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.487400[/C]0.093000[/C][C]Trim. Kurtosis (26/120)[/C]-1.176600[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.505000[/C]0.085400[/C][C]Trim. Kurtosis (27/120)[/C]-1.163700[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.516500[/C]0.083600[/C][C]Trim. Kurtosis (28/120)[/C]-1.157600[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.522400[/C]0.085400[/C][C]Trim. Kurtosis (29/120)[/C]-1.163900[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.533600[/C]0.083600[/C][C]Trim. Kurtosis (30/120)[/C]-1.142500[/C]0.060200[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.547300[/C]0.080200[/C][C]Trim. Kurtosis (31/120)[/C]-1.120000[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.558100[/C]0.080200[/C][C]Trim. Kurtosis (32/120)[/C]-1.093300[/C]0.080200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.568600[/C]0.078400[/C][C]Trim. Kurtosis (33/120)[/C]-1.062500[/C]0.095000[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.574700[/C]0.081800[/C][C]Trim. Kurtosis (34/120)[/C]-1.037700[/C]0.109600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.578900[/C]0.085400[/C][C]Trim. Kurtosis (35/120)[/C]-1.007800[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.579600[/C]0.091000[/C][C]Trim. Kurtosis (36/120)[/C]-0.984700[/C]0.141600[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.568400[/C]0.103200[/C][C]Trim. Kurtosis (37/120)[/C]-0.992200[/C]0.147000[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.548200[/C]0.123600[/C][C]Trim. Kurtosis (38/120)[/C]-1.026700[/C]0.141600[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.521200[/C]0.152800[/C][C]Trim. Kurtosis (39/120)[/C]-1.080800[/C]0.131000[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.474500[/C]0.204000[/C][C]Trim. Kurtosis (40/120)[/C]-1.201700[/C]0.099000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103569&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103569&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)0.2334000.289200Trim. Kurtosis (0/120)-1.1017000.011800
Trim. Skewness (1/120)0.2042000.357600Trim. Kurtosis (1/120)-1.2389000.005000
Trim. Skewness (2/120)0.1850000.406600Trim. Kurtosis (2/120)-1.3080000.003200
Trim. Skewness (3/120)0.1738000.441200Trim. Kurtosis (3/120)-1.3593000.002400
Trim. Skewness (4/120)0.1818000.423800Trim. Kurtosis (4/120)-1.3768000.002400
Trim. Skewness (5/120)0.1977000.389800Trim. Kurtosis (5/120)-1.3897000.002200
Trim. Skewness (6/120)0.2113000.362800Trim. Kurtosis (6/120)-1.3970000.002400
Trim. Skewness (7/120)0.2245000.337000Trim. Kurtosis (7/120)-1.4025000.002600
Trim. Skewness (8/120)0.2374000.312400Trim. Kurtosis (8/120)-1.4029000.002800
Trim. Skewness (9/120)0.2522000.289200Trim. Kurtosis (9/120)-1.3987000.003000
Trim. Skewness (10/120)0.2687000.262800Trim. Kurtosis (10/120)-1.3967000.003400
Trim. Skewness (11/120)0.2851000.242000Trim. Kurtosis (11/120)-1.3934000.003800
Trim. Skewness (12/120)0.3032000.215000Trim. Kurtosis (12/120)-1.3896000.004400
Trim. Skewness (13/120)0.3231000.193600Trim. Kurtosis (13/120)-1.3878000.004800
Trim. Skewness (14/120)0.3354000.180200Trim. Kurtosis (14/120)-1.3751000.005600
Trim. Skewness (15/120)0.3479000.170600Trim. Kurtosis (15/120)-1.3609000.006800
Trim. Skewness (16/120)0.3622000.155600Trim. Kurtosis (16/120)-1.3456000.008000
Trim. Skewness (17/120)0.3771000.144200Trim. Kurtosis (17/120)-1.3300000.009600
Trim. Skewness (18/120)0.3882000.138800Trim. Kurtosis (18/120)-1.3109000.011400
Trim. Skewness (19/120)0.3998000.131000Trim. Kurtosis (19/120)-1.2913000.013800
Trim. Skewness (20/120)0.4112000.126000Trim. Kurtosis (20/120)-1.2722000.016400
Trim. Skewness (21/120)0.4229000.118800Trim. Kurtosis (21/120)-1.2543000.019200
Trim. Skewness (22/120)0.4351000.114200Trim. Kurtosis (22/120)-1.2378000.022600
Trim. Skewness (23/120)0.4476000.107400Trim. Kurtosis (23/120)-1.2200000.026400
Trim. Skewness (24/120)0.4614000.101000Trim. Kurtosis (24/120)-1.2014000.031600
Trim. Skewness (25/120)0.4749000.097000Trim. Kurtosis (25/120)-1.1869000.035800
Trim. Skewness (26/120)0.4874000.093000Trim. Kurtosis (26/120)-1.1766000.040400
Trim. Skewness (27/120)0.5050000.085400Trim. Kurtosis (27/120)-1.1637000.045600
Trim. Skewness (28/120)0.5165000.083600Trim. Kurtosis (28/120)-1.1576000.048800
Trim. Skewness (29/120)0.5224000.085400Trim. Kurtosis (29/120)-1.1639000.051200
Trim. Skewness (30/120)0.5336000.083600Trim. Kurtosis (30/120)-1.1425000.060200
Trim. Skewness (31/120)0.5473000.080200Trim. Kurtosis (31/120)-1.1200000.068800
Trim. Skewness (32/120)0.5581000.080200Trim. Kurtosis (32/120)-1.0933000.080200
Trim. Skewness (33/120)0.5686000.078400Trim. Kurtosis (33/120)-1.0625000.095000
Trim. Skewness (34/120)0.5747000.081800Trim. Kurtosis (34/120)-1.0377000.109600
Trim. Skewness (35/120)0.5789000.085400Trim. Kurtosis (35/120)-1.0078000.126000
Trim. Skewness (36/120)0.5796000.091000Trim. Kurtosis (36/120)-0.9847000.141600
Trim. Skewness (37/120)0.5684000.103200Trim. Kurtosis (37/120)-0.9922000.147000
Trim. Skewness (38/120)0.5482000.123600Trim. Kurtosis (38/120)-1.0267000.141600
Trim. Skewness (39/120)0.5212000.152800Trim. Kurtosis (39/120)-1.0808000.131000
Trim. Skewness (40/120)0.4745000.204000Trim. Kurtosis (40/120)-1.2017000.099000


Figures (Output of Computation)

Input Parameters & R Code

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