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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 14:59:36 +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/t129112905462oml9kzpi339xq.htm/, Retrieved Mon, 29 Apr 2024 09:17:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103577, Retrieved Mon, 29 Apr 2024 09:17:19 +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 14:59:36] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
85.4
86.31
86.53
85.05
85.08
82.87
82.17
80.78
81.58
82.91
83.19
83.35
83.14
83.65
83.66
83.24
82.72
81.73
81.8
81.88
80.94
81.31
81.24
81.64
82.57
82.11
81.62
81.04
80.46
82
82.26
81.72
82.38
83
81.62
80.94
81.27
81.03
80.6
79.92
80.96
80.01
80.27
79.07
79.42
81.35
76.9
77.47
77.93
77.3
76.93
76.3
75.15
74.47
74.41
74.15
74.83
74.24
73.78
74.25
73.74
72.08
71.13
70.01
70.72
70.73
70.65
69.45
70.03
71.63
70.73
71.81
71.69
71.75
70.11
71.41
70.99
72.77
73.42
74.14
73.42
73.45
73.18
74.2
74.39
73.01
73.65
73.64
73.7
72.71
71.5
70.39
70.13
67.9
69.14
70.35
70.34
70.16
70.4
69.97
70.16
69.23
67.47
68.21
67.86
68.19
67.89
67.94
69.63
70.5
69.86
70.01
72.66
74.44
75.49
74.8
74.42
73.37
72.29
72.49

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.31.481208FISHER 4th Cent. Mom.1335.591368
FISHER beta 10.042778FISHER beta 21.643433
FISHER gamma 10.206828FISHER gamma 2-1.356567
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.924965FISHER Test 2-3.033375
FISHER Test 1 Probability0.352400FISHER Test 2 Probability0.002400
Pearson 20.883265
Yule using Quartile definition:Weighted Average at Xnp0.339147
Yule using Quartile definition:Weighted Average at X(n+1)p0.345613
Yule using Quartile definition:Empirical Distribution Function0.339147
Yule using Quartile definition:Empirical Distribution Function - Averaging0.349562
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.353545
Yule using Quartile definition:Closest Observation0.339147
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.353545
Yule using Quartile definition:MS Excel (old versions)0.341699
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.209456Kurtosis (small sample)-1.363118
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.948285TEST 1 (small sample)-3.109794
TEST 1 Prob. (small sample)0.342200TEST 1 Prob. (small sample)0.001800
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.31.481208 & FISHER 4th Cent. Mom.1335.591368 \tabularnewline FISHER beta 10.042778 & FISHER beta 21.643433 \tabularnewline FISHER gamma 10.206828 & FISHER gamma 2-1.356567 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 10.924965 & FISHER Test 2-3.033375 \tabularnewline FISHER Test 1 Probability0.352400 & FISHER Test 2 Probability0.002400 \tabularnewline Pearson 20.883265 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.339147 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.345613 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.339147 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.349562 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.353545 & & \tabularnewline Yule using Quartile definition:Closest Observation0.339147 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.353545 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.341699 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.209456 & Kurtosis (small sample)-1.363118 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)0.948285 & TEST 1 (small sample)-3.109794 \tabularnewline TEST 1 Prob. (small sample)0.342200 & TEST 1 Prob. (small sample)0.001800 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103577&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]31.481208[/C][C]FISHER 4th Cent. Mom.[/C]1335.591368[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.042778[/C][C]FISHER beta 2[/C]1.643433[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.206828[/C][C]FISHER gamma 2[/C]-1.356567[/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]0.924965[/C][C]FISHER Test 2[/C]-3.033375[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.352400[/C][C]FISHER Test 2 Probability[/C]0.002400[/C][/ROW] [ROW][C]Pearson 2[/C]0.883265[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.339147[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.345613[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.339147[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.349562[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.353545[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.339147[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.353545[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.341699[/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]0.209456[/C][C]Kurtosis (small sample)[/C]-1.363118[/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]0.948285[/C][C]TEST 1 (small sample)[/C]-3.109794[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.342200[/C][C]TEST 1 Prob. (small sample)[/C]0.001800[/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=103577&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103577&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.31.481208FISHER 4th Cent. Mom.1335.591368
FISHER beta 10.042778FISHER beta 21.643433
FISHER gamma 10.206828FISHER gamma 2-1.356567
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.924965FISHER Test 2-3.033375
FISHER Test 1 Probability0.352400FISHER Test 2 Probability0.002400
Pearson 20.883265
Yule using Quartile definition:Weighted Average at Xnp0.339147
Yule using Quartile definition:Weighted Average at X(n+1)p0.345613
Yule using Quartile definition:Empirical Distribution Function0.339147
Yule using Quartile definition:Empirical Distribution Function - Averaging0.349562
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.353545
Yule using Quartile definition:Closest Observation0.339147
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.353545
Yule using Quartile definition:MS Excel (old versions)0.341699
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.209456Kurtosis (small sample)-1.363118
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.948285TEST 1 (small sample)-3.109794
TEST 1 Prob. (small sample)0.342200TEST 1 Prob. (small sample)0.001800
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.2095000.342200Trim. Kurtosis (0/120)-1.3631000.001800
Trim. Skewness (1/120)0.2024000.362800Trim. Kurtosis (1/120)-1.3995000.001600
Trim. Skewness (2/120)0.1922000.389800Trim. Kurtosis (2/120)-1.4372000.001200
Trim. Skewness (3/120)0.1911000.395400Trim. Kurtosis (3/120)-1.4598000.001200
Trim. Skewness (4/120)0.1927000.395400Trim. Kurtosis (4/120)-1.4827000.001000
Trim. Skewness (5/120)0.1937000.395400Trim. Kurtosis (5/120)-1.5133000.001000
Trim. Skewness (6/120)0.2057000.373400Trim. Kurtosis (6/120)-1.5206000.001000
Trim. Skewness (7/120)0.2189000.347200Trim. Kurtosis (7/120)-1.5316000.001000
Trim. Skewness (8/120)0.2260000.337000Trim. Kurtosis (8/120)-1.5300000.001200
Trim. Skewness (9/120)0.2336000.327000Trim. Kurtosis (9/120)-1.5279000.001200
Trim. Skewness (10/120)0.2402000.317400Trim. Kurtosis (10/120)-1.5248000.001400
Trim. Skewness (11/120)0.2459000.312400Trim. Kurtosis (11/120)-1.5211000.001600
Trim. Skewness (12/120)0.2510000.307800Trim. Kurtosis (12/120)-1.5153000.001800
Trim. Skewness (13/120)0.2560000.303000Trim. Kurtosis (13/120)-1.5086000.002200
Trim. Skewness (14/120)0.2611000.298400Trim. Kurtosis (14/120)-1.5021000.002600
Trim. Skewness (15/120)0.2677000.289200Trim. Kurtosis (15/120)-1.4947000.002800
Trim. Skewness (16/120)0.2757000.280200Trim. Kurtosis (16/120)-1.4859000.003400
Trim. Skewness (17/120)0.2851000.271400Trim. Kurtosis (17/120)-1.4746000.004200
Trim. Skewness (18/120)0.2961000.258400Trim. Kurtosis (18/120)-1.4621000.004800
Trim. Skewness (19/120)0.3085000.242000Trim. Kurtosis (19/120)-1.4485000.005800
Trim. Skewness (20/120)0.3226000.230200Trim. Kurtosis (20/120)-1.4346000.007000
Trim. Skewness (21/120)0.3368000.215000Trim. Kurtosis (21/120)-1.4175000.008200
Trim. Skewness (22/120)0.3535000.197000Trim. Kurtosis (22/120)-1.3986000.010200
Trim. Skewness (23/120)0.3723000.180200Trim. Kurtosis (23/120)-1.3779000.012400
Trim. Skewness (24/120)0.3939000.161600Trim. Kurtosis (24/120)-1.3557000.015000
Trim. Skewness (25/120)0.4165000.144200Trim. Kurtosis (25/120)-1.3318000.018200
Trim. Skewness (26/120)0.4400000.128600Trim. Kurtosis (26/120)-1.3039000.022600
Trim. Skewness (27/120)0.4654000.114200Trim. Kurtosis (27/120)-1.2738000.028600
Trim. Skewness (28/120)0.4940000.097000Trim. Kurtosis (28/120)-1.2432000.034800
Trim. Skewness (29/120)0.5275000.081800Trim. Kurtosis (29/120)-1.2119000.042400
Trim. Skewness (30/120)0.5626000.067200Trim. Kurtosis (30/120)-1.1688000.053600
Trim. Skewness (31/120)0.5997000.054800Trim. Kurtosis (31/120)-1.1197000.068800
Trim. Skewness (32/120)0.6349000.045600Trim. Kurtosis (32/120)-1.0622000.089200
Trim. Skewness (33/120)0.6726000.037600Trim. Kurtosis (33/120)-0.9982000.116400
Trim. Skewness (34/120)0.7157000.030000Trim. Kurtosis (34/120)-0.9178000.155600
Trim. Skewness (35/120)0.7631000.023200Trim. Kurtosis (35/120)-0.8272000.211200
Trim. Skewness (36/120)0.8173000.016800Trim. Kurtosis (36/120)-0.7218000.280200
Trim. Skewness (37/120)0.8780000.012000Trim. Kurtosis (37/120)-0.6038000.378800
Trim. Skewness (38/120)0.9337000.008800Trim. Kurtosis (38/120)-0.4793000.490200
Trim. Skewness (39/120)0.9907000.006600Trim. Kurtosis (39/120)-0.3329000.638400
Trim. Skewness (40/120)1.0493000.005000Trim. Kurtosis (40/120)-0.1590000.825800

\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)0.2095000.342200 & Trim. Kurtosis (0/120)-1.3631000.001800 \tabularnewline Trim. Skewness (1/120)0.2024000.362800 & Trim. Kurtosis (1/120)-1.3995000.001600 \tabularnewline Trim. Skewness (2/120)0.1922000.389800 & Trim. Kurtosis (2/120)-1.4372000.001200 \tabularnewline Trim. Skewness (3/120)0.1911000.395400 & Trim. Kurtosis (3/120)-1.4598000.001200 \tabularnewline Trim. Skewness (4/120)0.1927000.395400 & Trim. Kurtosis (4/120)-1.4827000.001000 \tabularnewline Trim. Skewness (5/120)0.1937000.395400 & Trim. Kurtosis (5/120)-1.5133000.001000 \tabularnewline Trim. Skewness (6/120)0.2057000.373400 & Trim. Kurtosis (6/120)-1.5206000.001000 \tabularnewline Trim. Skewness (7/120)0.2189000.347200 & Trim. Kurtosis (7/120)-1.5316000.001000 \tabularnewline Trim. Skewness (8/120)0.2260000.337000 & Trim. Kurtosis (8/120)-1.5300000.001200 \tabularnewline Trim. Skewness (9/120)0.2336000.327000 & Trim. Kurtosis (9/120)-1.5279000.001200 \tabularnewline Trim. Skewness (10/120)0.2402000.317400 & Trim. Kurtosis (10/120)-1.5248000.001400 \tabularnewline Trim. Skewness (11/120)0.2459000.312400 & Trim. Kurtosis (11/120)-1.5211000.001600 \tabularnewline Trim. Skewness (12/120)0.2510000.307800 & Trim. Kurtosis (12/120)-1.5153000.001800 \tabularnewline Trim. Skewness (13/120)0.2560000.303000 & Trim. Kurtosis (13/120)-1.5086000.002200 \tabularnewline Trim. Skewness (14/120)0.2611000.298400 & Trim. Kurtosis (14/120)-1.5021000.002600 \tabularnewline Trim. Skewness (15/120)0.2677000.289200 & Trim. Kurtosis (15/120)-1.4947000.002800 \tabularnewline Trim. Skewness (16/120)0.2757000.280200 & Trim. Kurtosis (16/120)-1.4859000.003400 \tabularnewline Trim. Skewness (17/120)0.2851000.271400 & Trim. Kurtosis (17/120)-1.4746000.004200 \tabularnewline Trim. Skewness (18/120)0.2961000.258400 & Trim. Kurtosis (18/120)-1.4621000.004800 \tabularnewline Trim. Skewness (19/120)0.3085000.242000 & Trim. Kurtosis (19/120)-1.4485000.005800 \tabularnewline Trim. Skewness (20/120)0.3226000.230200 & Trim. Kurtosis (20/120)-1.4346000.007000 \tabularnewline Trim. Skewness (21/120)0.3368000.215000 & Trim. Kurtosis (21/120)-1.4175000.008200 \tabularnewline Trim. Skewness (22/120)0.3535000.197000 & Trim. Kurtosis (22/120)-1.3986000.010200 \tabularnewline Trim. Skewness (23/120)0.3723000.180200 & Trim. Kurtosis (23/120)-1.3779000.012400 \tabularnewline Trim. Skewness (24/120)0.3939000.161600 & Trim. Kurtosis (24/120)-1.3557000.015000 \tabularnewline Trim. Skewness (25/120)0.4165000.144200 & Trim. Kurtosis (25/120)-1.3318000.018200 \tabularnewline Trim. Skewness (26/120)0.4400000.128600 & Trim. Kurtosis (26/120)-1.3039000.022600 \tabularnewline Trim. Skewness (27/120)0.4654000.114200 & Trim. Kurtosis (27/120)-1.2738000.028600 \tabularnewline Trim. Skewness (28/120)0.4940000.097000 & Trim. Kurtosis (28/120)-1.2432000.034800 \tabularnewline Trim. Skewness (29/120)0.5275000.081800 & Trim. Kurtosis (29/120)-1.2119000.042400 \tabularnewline Trim. Skewness (30/120)0.5626000.067200 & Trim. Kurtosis (30/120)-1.1688000.053600 \tabularnewline Trim. Skewness (31/120)0.5997000.054800 & Trim. Kurtosis (31/120)-1.1197000.068800 \tabularnewline Trim. Skewness (32/120)0.6349000.045600 & Trim. Kurtosis (32/120)-1.0622000.089200 \tabularnewline Trim. Skewness (33/120)0.6726000.037600 & Trim. Kurtosis (33/120)-0.9982000.116400 \tabularnewline Trim. Skewness (34/120)0.7157000.030000 & Trim. Kurtosis (34/120)-0.9178000.155600 \tabularnewline Trim. Skewness (35/120)0.7631000.023200 & Trim. Kurtosis (35/120)-0.8272000.211200 \tabularnewline Trim. Skewness (36/120)0.8173000.016800 & Trim. Kurtosis (36/120)-0.7218000.280200 \tabularnewline Trim. Skewness (37/120)0.8780000.012000 & Trim. Kurtosis (37/120)-0.6038000.378800 \tabularnewline Trim. Skewness (38/120)0.9337000.008800 & Trim. Kurtosis (38/120)-0.4793000.490200 \tabularnewline Trim. Skewness (39/120)0.9907000.006600 & Trim. Kurtosis (39/120)-0.3329000.638400 \tabularnewline Trim. Skewness (40/120)1.0493000.005000 & Trim. Kurtosis (40/120)-0.1590000.825800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103577&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]0.209500[/C]0.342200[/C][C]Trim. Kurtosis (0/120)[/C]-1.363100[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.202400[/C]0.362800[/C][C]Trim. Kurtosis (1/120)[/C]-1.399500[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.192200[/C]0.389800[/C][C]Trim. Kurtosis (2/120)[/C]-1.437200[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.191100[/C]0.395400[/C][C]Trim. Kurtosis (3/120)[/C]-1.459800[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.192700[/C]0.395400[/C][C]Trim. Kurtosis (4/120)[/C]-1.482700[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.193700[/C]0.395400[/C][C]Trim. Kurtosis (5/120)[/C]-1.513300[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.205700[/C]0.373400[/C][C]Trim. Kurtosis (6/120)[/C]-1.520600[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.218900[/C]0.347200[/C][C]Trim. Kurtosis (7/120)[/C]-1.531600[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.226000[/C]0.337000[/C][C]Trim. Kurtosis (8/120)[/C]-1.530000[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.233600[/C]0.327000[/C][C]Trim. Kurtosis (9/120)[/C]-1.527900[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.240200[/C]0.317400[/C][C]Trim. Kurtosis (10/120)[/C]-1.524800[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.245900[/C]0.312400[/C][C]Trim. Kurtosis (11/120)[/C]-1.521100[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.251000[/C]0.307800[/C][C]Trim. Kurtosis (12/120)[/C]-1.515300[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.256000[/C]0.303000[/C][C]Trim. Kurtosis (13/120)[/C]-1.508600[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.261100[/C]0.298400[/C][C]Trim. Kurtosis (14/120)[/C]-1.502100[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.267700[/C]0.289200[/C][C]Trim. Kurtosis (15/120)[/C]-1.494700[/C]0.002800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.275700[/C]0.280200[/C][C]Trim. Kurtosis (16/120)[/C]-1.485900[/C]0.003400[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.285100[/C]0.271400[/C][C]Trim. Kurtosis (17/120)[/C]-1.474600[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.296100[/C]0.258400[/C][C]Trim. Kurtosis (18/120)[/C]-1.462100[/C]0.004800[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.308500[/C]0.242000[/C][C]Trim. Kurtosis (19/120)[/C]-1.448500[/C]0.005800[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.322600[/C]0.230200[/C][C]Trim. Kurtosis (20/120)[/C]-1.434600[/C]0.007000[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.336800[/C]0.215000[/C][C]Trim. Kurtosis (21/120)[/C]-1.417500[/C]0.008200[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.353500[/C]0.197000[/C][C]Trim. Kurtosis (22/120)[/C]-1.398600[/C]0.010200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.372300[/C]0.180200[/C][C]Trim. Kurtosis (23/120)[/C]-1.377900[/C]0.012400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.393900[/C]0.161600[/C][C]Trim. Kurtosis (24/120)[/C]-1.355700[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.416500[/C]0.144200[/C][C]Trim. Kurtosis (25/120)[/C]-1.331800[/C]0.018200[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.440000[/C]0.128600[/C][C]Trim. Kurtosis (26/120)[/C]-1.303900[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.465400[/C]0.114200[/C][C]Trim. Kurtosis (27/120)[/C]-1.273800[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.494000[/C]0.097000[/C][C]Trim. Kurtosis (28/120)[/C]-1.243200[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.527500[/C]0.081800[/C][C]Trim. Kurtosis (29/120)[/C]-1.211900[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.562600[/C]0.067200[/C][C]Trim. Kurtosis (30/120)[/C]-1.168800[/C]0.053600[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.599700[/C]0.054800[/C][C]Trim. Kurtosis (31/120)[/C]-1.119700[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.634900[/C]0.045600[/C][C]Trim. Kurtosis (32/120)[/C]-1.062200[/C]0.089200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.672600[/C]0.037600[/C][C]Trim. Kurtosis (33/120)[/C]-0.998200[/C]0.116400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.715700[/C]0.030000[/C][C]Trim. Kurtosis (34/120)[/C]-0.917800[/C]0.155600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.763100[/C]0.023200[/C][C]Trim. Kurtosis (35/120)[/C]-0.827200[/C]0.211200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.817300[/C]0.016800[/C][C]Trim. Kurtosis (36/120)[/C]-0.721800[/C]0.280200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.878000[/C]0.012000[/C][C]Trim. Kurtosis (37/120)[/C]-0.603800[/C]0.378800[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.933700[/C]0.008800[/C][C]Trim. Kurtosis (38/120)[/C]-0.479300[/C]0.490200[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.990700[/C]0.006600[/C][C]Trim. Kurtosis (39/120)[/C]-0.332900[/C]0.638400[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]1.049300[/C]0.005000[/C][C]Trim. Kurtosis (40/120)[/C]-0.159000[/C]0.825800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103577&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103577&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)0.2095000.342200Trim. Kurtosis (0/120)-1.3631000.001800
Trim. Skewness (1/120)0.2024000.362800Trim. Kurtosis (1/120)-1.3995000.001600
Trim. Skewness (2/120)0.1922000.389800Trim. Kurtosis (2/120)-1.4372000.001200
Trim. Skewness (3/120)0.1911000.395400Trim. Kurtosis (3/120)-1.4598000.001200
Trim. Skewness (4/120)0.1927000.395400Trim. Kurtosis (4/120)-1.4827000.001000
Trim. Skewness (5/120)0.1937000.395400Trim. Kurtosis (5/120)-1.5133000.001000
Trim. Skewness (6/120)0.2057000.373400Trim. Kurtosis (6/120)-1.5206000.001000
Trim. Skewness (7/120)0.2189000.347200Trim. Kurtosis (7/120)-1.5316000.001000
Trim. Skewness (8/120)0.2260000.337000Trim. Kurtosis (8/120)-1.5300000.001200
Trim. Skewness (9/120)0.2336000.327000Trim. Kurtosis (9/120)-1.5279000.001200
Trim. Skewness (10/120)0.2402000.317400Trim. Kurtosis (10/120)-1.5248000.001400
Trim. Skewness (11/120)0.2459000.312400Trim. Kurtosis (11/120)-1.5211000.001600
Trim. Skewness (12/120)0.2510000.307800Trim. Kurtosis (12/120)-1.5153000.001800
Trim. Skewness (13/120)0.2560000.303000Trim. Kurtosis (13/120)-1.5086000.002200
Trim. Skewness (14/120)0.2611000.298400Trim. Kurtosis (14/120)-1.5021000.002600
Trim. Skewness (15/120)0.2677000.289200Trim. Kurtosis (15/120)-1.4947000.002800
Trim. Skewness (16/120)0.2757000.280200Trim. Kurtosis (16/120)-1.4859000.003400
Trim. Skewness (17/120)0.2851000.271400Trim. Kurtosis (17/120)-1.4746000.004200
Trim. Skewness (18/120)0.2961000.258400Trim. Kurtosis (18/120)-1.4621000.004800
Trim. Skewness (19/120)0.3085000.242000Trim. Kurtosis (19/120)-1.4485000.005800
Trim. Skewness (20/120)0.3226000.230200Trim. Kurtosis (20/120)-1.4346000.007000
Trim. Skewness (21/120)0.3368000.215000Trim. Kurtosis (21/120)-1.4175000.008200
Trim. Skewness (22/120)0.3535000.197000Trim. Kurtosis (22/120)-1.3986000.010200
Trim. Skewness (23/120)0.3723000.180200Trim. Kurtosis (23/120)-1.3779000.012400
Trim. Skewness (24/120)0.3939000.161600Trim. Kurtosis (24/120)-1.3557000.015000
Trim. Skewness (25/120)0.4165000.144200Trim. Kurtosis (25/120)-1.3318000.018200
Trim. Skewness (26/120)0.4400000.128600Trim. Kurtosis (26/120)-1.3039000.022600
Trim. Skewness (27/120)0.4654000.114200Trim. Kurtosis (27/120)-1.2738000.028600
Trim. Skewness (28/120)0.4940000.097000Trim. Kurtosis (28/120)-1.2432000.034800
Trim. Skewness (29/120)0.5275000.081800Trim. Kurtosis (29/120)-1.2119000.042400
Trim. Skewness (30/120)0.5626000.067200Trim. Kurtosis (30/120)-1.1688000.053600
Trim. Skewness (31/120)0.5997000.054800Trim. Kurtosis (31/120)-1.1197000.068800
Trim. Skewness (32/120)0.6349000.045600Trim. Kurtosis (32/120)-1.0622000.089200
Trim. Skewness (33/120)0.6726000.037600Trim. Kurtosis (33/120)-0.9982000.116400
Trim. Skewness (34/120)0.7157000.030000Trim. Kurtosis (34/120)-0.9178000.155600
Trim. Skewness (35/120)0.7631000.023200Trim. Kurtosis (35/120)-0.8272000.211200
Trim. Skewness (36/120)0.8173000.016800Trim. Kurtosis (36/120)-0.7218000.280200
Trim. Skewness (37/120)0.8780000.012000Trim. Kurtosis (37/120)-0.6038000.378800
Trim. Skewness (38/120)0.9337000.008800Trim. Kurtosis (38/120)-0.4793000.490200
Trim. Skewness (39/120)0.9907000.006600Trim. Kurtosis (39/120)-0.3329000.638400
Trim. Skewness (40/120)1.0493000.005000Trim. Kurtosis (40/120)-0.1590000.825800


Figures (Output of Computation)

Input Parameters & R Code

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