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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 18:56:43 +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/t1291143282cgfu1sg9k5x92zu.htm/, Retrieved Mon, 29 Apr 2024 12:07:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103750, Retrieved Mon, 29 Apr 2024 12:07:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact136

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] [Kurtosis analysis...] [2007-09-10 12:58:14] [34354a2f772eeadc2ea8c4c156a37515]
-  M D  [Skewness and Kurtosis] [] [2010-11-30 18:24:16] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:56:43] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
86.53
85.26
85.92
85.81
82.47
81.39
80.51
81.80
82.62
83.67
83.88
83.20
83.61
84.11
83.41
81.83
81.75
81.10
81.44
81.11
81.03
81.82
82.05
81.92
82.11
81.24
80.73
81.66
82.00
81.77
82.02
81.89
81.98
82.04
80.99
81.31
81.30
79.88
80.25
80.14
79.93
80.64
79.11
79.57
77.67
77.31
77.69
78.37
77.26
76.64
76.56
75.27
74.68
73.75
73.92
74.14
74.02
74.25
72.96
72.13
70.00
70.36
70.94
70.39
70.13
70.05
70.95
71.26
71.34
72.24
71.71
71.06
70.58
71.52
72.08
73.91
74.12
73.96
74.06
74.00
73.10
74.32
73.64
73.53
73.11
73.68
73.22
72.74
71.56
69.65
69.84
68.61
68.96
70.65
70.54
70.47
69.81
70.15
70.28
68.56
67.21
67.86
68.07
67.55
68.17
70.50
70.12
69.63
72.52
72.46
74.35
74.94
74.57
73.83
73.98
72.22
72.33
71.75
70.01
70.26

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.36.626493FISHER 4th Cent. Mom.1268.124969
FISHER beta 10.065536FISHER beta 21.694689
FISHER gamma 10.256001FISHER gamma 2-1.305311
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.144870FISHER Test 2-2.918764
FISHER Test 1 Probability0.250200FISHER Test 2 Probability0.003600
Pearson 20.990218
Yule using Quartile definition:Weighted Average at Xnp0.404715
Yule using Quartile definition:Weighted Average at X(n+1)p0.414251
Yule using Quartile definition:Empirical Distribution Function0.404715
Yule using Quartile definition:Empirical Distribution Function - Averaging0.420376
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.426580
Yule using Quartile definition:Closest Observation0.404715
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.426580
Yule using Quartile definition:MS Excel (old versions)0.408203
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.259253Kurtosis (small sample)-1.309660
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.173735TEST 1 (small sample)-2.987837
TEST 1 Prob. (small sample)0.238000TEST 1 Prob. (small sample)0.002800
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.36.626493 & FISHER 4th Cent. Mom.1268.124969 \tabularnewline FISHER beta 10.065536 & FISHER beta 21.694689 \tabularnewline FISHER gamma 10.256001 & FISHER gamma 2-1.305311 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 11.144870 & FISHER Test 2-2.918764 \tabularnewline FISHER Test 1 Probability0.250200 & FISHER Test 2 Probability0.003600 \tabularnewline Pearson 20.990218 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.404715 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.414251 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.404715 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.420376 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.426580 & & \tabularnewline Yule using Quartile definition:Closest Observation0.404715 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.426580 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.408203 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.259253 & Kurtosis (small sample)-1.309660 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)1.173735 & TEST 1 (small sample)-2.987837 \tabularnewline TEST 1 Prob. (small sample)0.238000 & TEST 1 Prob. (small sample)0.002800 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103750&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]36.626493[/C][C]FISHER 4th Cent. Mom.[/C]1268.124969[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.065536[/C][C]FISHER beta 2[/C]1.694689[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.256001[/C][C]FISHER gamma 2[/C]-1.305311[/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]1.144870[/C][C]FISHER Test 2[/C]-2.918764[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.250200[/C][C]FISHER Test 2 Probability[/C]0.003600[/C][/ROW] [ROW][C]Pearson 2[/C]0.990218[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.404715[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.414251[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.404715[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.420376[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.426580[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.404715[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.426580[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.408203[/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]0.259253[/C][C]Kurtosis (small sample)[/C]-1.309660[/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]1.173735[/C][C]TEST 1 (small sample)[/C]-2.987837[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.238000[/C][C]TEST 1 Prob. (small sample)[/C]0.002800[/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=103750&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103750&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.36.626493FISHER 4th Cent. Mom.1268.124969
FISHER beta 10.065536FISHER beta 21.694689
FISHER gamma 10.256001FISHER gamma 2-1.305311
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.144870FISHER Test 2-2.918764
FISHER Test 1 Probability0.250200FISHER Test 2 Probability0.003600
Pearson 20.990218
Yule using Quartile definition:Weighted Average at Xnp0.404715
Yule using Quartile definition:Weighted Average at X(n+1)p0.414251
Yule using Quartile definition:Empirical Distribution Function0.404715
Yule using Quartile definition:Empirical Distribution Function - Averaging0.420376
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.426580
Yule using Quartile definition:Closest Observation0.404715
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.426580
Yule using Quartile definition:MS Excel (old versions)0.408203
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.259253Kurtosis (small sample)-1.309660
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.173735TEST 1 (small sample)-2.987837
TEST 1 Prob. (small sample)0.238000TEST 1 Prob. (small sample)0.002800
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.2593000.238000Trim. Kurtosis (0/120)-1.3097000.002800
Trim. Skewness (1/120)0.2540000.250200Trim. Kurtosis (1/120)-1.3567000.002000
Trim. Skewness (2/120)0.2513000.262800Trim. Kurtosis (2/120)-1.3937000.001800
Trim. Skewness (3/120)0.2451000.275800Trim. Kurtosis (3/120)-1.4367000.001400
Trim. Skewness (4/120)0.2422000.284600Trim. Kurtosis (4/120)-1.4721000.001200
Trim. Skewness (5/120)0.2507000.275800Trim. Kurtosis (5/120)-1.4858000.001200
Trim. Skewness (6/120)0.2577000.267000Trim. Kurtosis (6/120)-1.4953000.001200
Trim. Skewness (7/120)0.2667000.254200Trim. Kurtosis (7/120)-1.5048000.001200
Trim. Skewness (8/120)0.2729000.246000Trim. Kurtosis (8/120)-1.5133000.001200
Trim. Skewness (9/120)0.2750000.246000Trim. Kurtosis (9/120)-1.5157000.001400
Trim. Skewness (10/120)0.2786000.246000Trim. Kurtosis (10/120)-1.5167000.001400
Trim. Skewness (11/120)0.2858000.238000Trim. Kurtosis (11/120)-1.5094000.001800
Trim. Skewness (12/120)0.2942000.230200Trim. Kurtosis (12/120)-1.5006000.002000
Trim. Skewness (13/120)0.3043000.218600Trim. Kurtosis (13/120)-1.4874000.002600
Trim. Skewness (14/120)0.3154000.207600Trim. Kurtosis (14/120)-1.4732000.003000
Trim. Skewness (15/120)0.3271000.197000Trim. Kurtosis (15/120)-1.4584000.003800
Trim. Skewness (16/120)0.3391000.183600Trim. Kurtosis (16/120)-1.4425000.004600
Trim. Skewness (17/120)0.3523000.173800Trim. Kurtosis (17/120)-1.4259000.005400
Trim. Skewness (18/120)0.3664000.161600Trim. Kurtosis (18/120)-1.4087000.006600
Trim. Skewness (19/120)0.3810000.149800Trim. Kurtosis (19/120)-1.3895000.008000
Trim. Skewness (20/120)0.3969000.138800Trim. Kurtosis (20/120)-1.3693000.009800
Trim. Skewness (21/120)0.4138000.126000Trim. Kurtosis (21/120)-1.3470000.012000
Trim. Skewness (22/120)0.4319000.116400Trim. Kurtosis (22/120)-1.3238000.015000
Trim. Skewness (23/120)0.4508000.105200Trim. Kurtosis (23/120)-1.2991000.018200
Trim. Skewness (24/120)0.4713000.095000Trim. Kurtosis (24/120)-1.2733000.022600
Trim. Skewness (25/120)0.4935000.083600Trim. Kurtosis (25/120)-1.2469000.027200
Trim. Skewness (26/120)0.5185000.073400Trim. Kurtosis (26/120)-1.2182000.033200
Trim. Skewness (27/120)0.5484000.062800Trim. Kurtosis (27/120)-1.1822000.041400
Trim. Skewness (28/120)0.5760000.053600Trim. Kurtosis (28/120)-1.1401000.052400
Trim. Skewness (29/120)0.6080000.044400Trim. Kurtosis (29/120)-1.0932000.067200
Trim. Skewness (30/120)0.6411000.037600Trim. Kurtosis (30/120)-1.0427000.085400
Trim. Skewness (31/120)0.6737000.031600Trim. Kurtosis (31/120)-0.9859000.109600
Trim. Skewness (32/120)0.7104000.025800Trim. Kurtosis (32/120)-0.9193000.141600
Trim. Skewness (33/120)0.7456000.021400Trim. Kurtosis (33/120)-0.8483000.183600
Trim. Skewness (34/120)0.7844000.017400Trim. Kurtosis (34/120)-0.7710000.234000
Trim. Skewness (35/120)0.8215000.014200Trim. Kurtosis (35/120)-0.6925000.293800
Trim. Skewness (36/120)0.8690000.011000Trim. Kurtosis (36/120)-0.5895000.378800
Trim. Skewness (37/120)0.9088000.009400Trim. Kurtosis (37/120)-0.4790000.484000
Trim. Skewness (38/120)0.9515000.007600Trim. Kurtosis (38/120)-0.3574000.610000
Trim. Skewness (39/120)1.0023000.006000Trim. Kurtosis (39/120)-0.2001000.779400
Trim. Skewness (40/120)1.0569000.004600Trim. Kurtosis (40/120)-0.0320000.960200

\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)0.2593000.238000 & Trim. Kurtosis (0/120)-1.3097000.002800 \tabularnewline Trim. Skewness (1/120)0.2540000.250200 & Trim. Kurtosis (1/120)-1.3567000.002000 \tabularnewline Trim. Skewness (2/120)0.2513000.262800 & Trim. Kurtosis (2/120)-1.3937000.001800 \tabularnewline Trim. Skewness (3/120)0.2451000.275800 & Trim. Kurtosis (3/120)-1.4367000.001400 \tabularnewline Trim. Skewness (4/120)0.2422000.284600 & Trim. Kurtosis (4/120)-1.4721000.001200 \tabularnewline Trim. Skewness (5/120)0.2507000.275800 & Trim. Kurtosis (5/120)-1.4858000.001200 \tabularnewline Trim. Skewness (6/120)0.2577000.267000 & Trim. Kurtosis (6/120)-1.4953000.001200 \tabularnewline Trim. Skewness (7/120)0.2667000.254200 & Trim. Kurtosis (7/120)-1.5048000.001200 \tabularnewline Trim. Skewness (8/120)0.2729000.246000 & Trim. Kurtosis (8/120)-1.5133000.001200 \tabularnewline Trim. Skewness (9/120)0.2750000.246000 & Trim. Kurtosis (9/120)-1.5157000.001400 \tabularnewline Trim. Skewness (10/120)0.2786000.246000 & Trim. Kurtosis (10/120)-1.5167000.001400 \tabularnewline Trim. Skewness (11/120)0.2858000.238000 & Trim. Kurtosis (11/120)-1.5094000.001800 \tabularnewline Trim. Skewness (12/120)0.2942000.230200 & Trim. Kurtosis (12/120)-1.5006000.002000 \tabularnewline Trim. Skewness (13/120)0.3043000.218600 & Trim. Kurtosis (13/120)-1.4874000.002600 \tabularnewline Trim. Skewness (14/120)0.3154000.207600 & Trim. Kurtosis (14/120)-1.4732000.003000 \tabularnewline Trim. Skewness (15/120)0.3271000.197000 & Trim. Kurtosis (15/120)-1.4584000.003800 \tabularnewline Trim. Skewness (16/120)0.3391000.183600 & Trim. Kurtosis (16/120)-1.4425000.004600 \tabularnewline Trim. Skewness (17/120)0.3523000.173800 & Trim. Kurtosis (17/120)-1.4259000.005400 \tabularnewline Trim. Skewness (18/120)0.3664000.161600 & Trim. Kurtosis (18/120)-1.4087000.006600 \tabularnewline Trim. Skewness (19/120)0.3810000.149800 & Trim. Kurtosis (19/120)-1.3895000.008000 \tabularnewline Trim. Skewness (20/120)0.3969000.138800 & Trim. Kurtosis (20/120)-1.3693000.009800 \tabularnewline Trim. Skewness (21/120)0.4138000.126000 & Trim. Kurtosis (21/120)-1.3470000.012000 \tabularnewline Trim. Skewness (22/120)0.4319000.116400 & Trim. Kurtosis (22/120)-1.3238000.015000 \tabularnewline Trim. Skewness (23/120)0.4508000.105200 & Trim. Kurtosis (23/120)-1.2991000.018200 \tabularnewline Trim. Skewness (24/120)0.4713000.095000 & Trim. Kurtosis (24/120)-1.2733000.022600 \tabularnewline Trim. Skewness (25/120)0.4935000.083600 & Trim. Kurtosis (25/120)-1.2469000.027200 \tabularnewline Trim. Skewness (26/120)0.5185000.073400 & Trim. Kurtosis (26/120)-1.2182000.033200 \tabularnewline Trim. Skewness (27/120)0.5484000.062800 & Trim. Kurtosis (27/120)-1.1822000.041400 \tabularnewline Trim. Skewness (28/120)0.5760000.053600 & Trim. Kurtosis (28/120)-1.1401000.052400 \tabularnewline Trim. Skewness (29/120)0.6080000.044400 & Trim. Kurtosis (29/120)-1.0932000.067200 \tabularnewline Trim. Skewness (30/120)0.6411000.037600 & Trim. Kurtosis (30/120)-1.0427000.085400 \tabularnewline Trim. Skewness (31/120)0.6737000.031600 & Trim. Kurtosis (31/120)-0.9859000.109600 \tabularnewline Trim. Skewness (32/120)0.7104000.025800 & Trim. Kurtosis (32/120)-0.9193000.141600 \tabularnewline Trim. Skewness (33/120)0.7456000.021400 & Trim. Kurtosis (33/120)-0.8483000.183600 \tabularnewline Trim. Skewness (34/120)0.7844000.017400 & Trim. Kurtosis (34/120)-0.7710000.234000 \tabularnewline Trim. Skewness (35/120)0.8215000.014200 & Trim. Kurtosis (35/120)-0.6925000.293800 \tabularnewline Trim. Skewness (36/120)0.8690000.011000 & Trim. Kurtosis (36/120)-0.5895000.378800 \tabularnewline Trim. Skewness (37/120)0.9088000.009400 & Trim. Kurtosis (37/120)-0.4790000.484000 \tabularnewline Trim. Skewness (38/120)0.9515000.007600 & Trim. Kurtosis (38/120)-0.3574000.610000 \tabularnewline Trim. Skewness (39/120)1.0023000.006000 & Trim. Kurtosis (39/120)-0.2001000.779400 \tabularnewline Trim. Skewness (40/120)1.0569000.004600 & Trim. Kurtosis (40/120)-0.0320000.960200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103750&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]0.259300[/C]0.238000[/C][C]Trim. Kurtosis (0/120)[/C]-1.309700[/C]0.002800[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.254000[/C]0.250200[/C][C]Trim. Kurtosis (1/120)[/C]-1.356700[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.251300[/C]0.262800[/C][C]Trim. Kurtosis (2/120)[/C]-1.393700[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.245100[/C]0.275800[/C][C]Trim. Kurtosis (3/120)[/C]-1.436700[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.242200[/C]0.284600[/C][C]Trim. Kurtosis (4/120)[/C]-1.472100[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.250700[/C]0.275800[/C][C]Trim. Kurtosis (5/120)[/C]-1.485800[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.257700[/C]0.267000[/C][C]Trim. Kurtosis (6/120)[/C]-1.495300[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.266700[/C]0.254200[/C][C]Trim. Kurtosis (7/120)[/C]-1.504800[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.272900[/C]0.246000[/C][C]Trim. Kurtosis (8/120)[/C]-1.513300[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.275000[/C]0.246000[/C][C]Trim. Kurtosis (9/120)[/C]-1.515700[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.278600[/C]0.246000[/C][C]Trim. Kurtosis (10/120)[/C]-1.516700[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.285800[/C]0.238000[/C][C]Trim. Kurtosis (11/120)[/C]-1.509400[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.294200[/C]0.230200[/C][C]Trim. Kurtosis (12/120)[/C]-1.500600[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.304300[/C]0.218600[/C][C]Trim. Kurtosis (13/120)[/C]-1.487400[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.315400[/C]0.207600[/C][C]Trim. Kurtosis (14/120)[/C]-1.473200[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.327100[/C]0.197000[/C][C]Trim. Kurtosis (15/120)[/C]-1.458400[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.339100[/C]0.183600[/C][C]Trim. Kurtosis (16/120)[/C]-1.442500[/C]0.004600[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.352300[/C]0.173800[/C][C]Trim. Kurtosis (17/120)[/C]-1.425900[/C]0.005400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.366400[/C]0.161600[/C][C]Trim. Kurtosis (18/120)[/C]-1.408700[/C]0.006600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.381000[/C]0.149800[/C][C]Trim. Kurtosis (19/120)[/C]-1.389500[/C]0.008000[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.396900[/C]0.138800[/C][C]Trim. Kurtosis (20/120)[/C]-1.369300[/C]0.009800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.413800[/C]0.126000[/C][C]Trim. Kurtosis (21/120)[/C]-1.347000[/C]0.012000[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.431900[/C]0.116400[/C][C]Trim. Kurtosis (22/120)[/C]-1.323800[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.450800[/C]0.105200[/C][C]Trim. Kurtosis (23/120)[/C]-1.299100[/C]0.018200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.471300[/C]0.095000[/C][C]Trim. Kurtosis (24/120)[/C]-1.273300[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.493500[/C]0.083600[/C][C]Trim. Kurtosis (25/120)[/C]-1.246900[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.518500[/C]0.073400[/C][C]Trim. Kurtosis (26/120)[/C]-1.218200[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.548400[/C]0.062800[/C][C]Trim. Kurtosis (27/120)[/C]-1.182200[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.576000[/C]0.053600[/C][C]Trim. Kurtosis (28/120)[/C]-1.140100[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.608000[/C]0.044400[/C][C]Trim. Kurtosis (29/120)[/C]-1.093200[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.641100[/C]0.037600[/C][C]Trim. Kurtosis (30/120)[/C]-1.042700[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.673700[/C]0.031600[/C][C]Trim. Kurtosis (31/120)[/C]-0.985900[/C]0.109600[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.710400[/C]0.025800[/C][C]Trim. Kurtosis (32/120)[/C]-0.919300[/C]0.141600[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.745600[/C]0.021400[/C][C]Trim. Kurtosis (33/120)[/C]-0.848300[/C]0.183600[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.784400[/C]0.017400[/C][C]Trim. Kurtosis (34/120)[/C]-0.771000[/C]0.234000[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.821500[/C]0.014200[/C][C]Trim. Kurtosis (35/120)[/C]-0.692500[/C]0.293800[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.869000[/C]0.011000[/C][C]Trim. Kurtosis (36/120)[/C]-0.589500[/C]0.378800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.908800[/C]0.009400[/C][C]Trim. Kurtosis (37/120)[/C]-0.479000[/C]0.484000[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.951500[/C]0.007600[/C][C]Trim. Kurtosis (38/120)[/C]-0.357400[/C]0.610000[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]1.002300[/C]0.006000[/C][C]Trim. Kurtosis (39/120)[/C]-0.200100[/C]0.779400[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]1.056900[/C]0.004600[/C][C]Trim. Kurtosis (40/120)[/C]-0.032000[/C]0.960200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103750&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103750&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)0.2593000.238000Trim. Kurtosis (0/120)-1.3097000.002800
Trim. Skewness (1/120)0.2540000.250200Trim. Kurtosis (1/120)-1.3567000.002000
Trim. Skewness (2/120)0.2513000.262800Trim. Kurtosis (2/120)-1.3937000.001800
Trim. Skewness (3/120)0.2451000.275800Trim. Kurtosis (3/120)-1.4367000.001400
Trim. Skewness (4/120)0.2422000.284600Trim. Kurtosis (4/120)-1.4721000.001200
Trim. Skewness (5/120)0.2507000.275800Trim. Kurtosis (5/120)-1.4858000.001200
Trim. Skewness (6/120)0.2577000.267000Trim. Kurtosis (6/120)-1.4953000.001200
Trim. Skewness (7/120)0.2667000.254200Trim. Kurtosis (7/120)-1.5048000.001200
Trim. Skewness (8/120)0.2729000.246000Trim. Kurtosis (8/120)-1.5133000.001200
Trim. Skewness (9/120)0.2750000.246000Trim. Kurtosis (9/120)-1.5157000.001400
Trim. Skewness (10/120)0.2786000.246000Trim. Kurtosis (10/120)-1.5167000.001400
Trim. Skewness (11/120)0.2858000.238000Trim. Kurtosis (11/120)-1.5094000.001800
Trim. Skewness (12/120)0.2942000.230200Trim. Kurtosis (12/120)-1.5006000.002000
Trim. Skewness (13/120)0.3043000.218600Trim. Kurtosis (13/120)-1.4874000.002600
Trim. Skewness (14/120)0.3154000.207600Trim. Kurtosis (14/120)-1.4732000.003000
Trim. Skewness (15/120)0.3271000.197000Trim. Kurtosis (15/120)-1.4584000.003800
Trim. Skewness (16/120)0.3391000.183600Trim. Kurtosis (16/120)-1.4425000.004600
Trim. Skewness (17/120)0.3523000.173800Trim. Kurtosis (17/120)-1.4259000.005400
Trim. Skewness (18/120)0.3664000.161600Trim. Kurtosis (18/120)-1.4087000.006600
Trim. Skewness (19/120)0.3810000.149800Trim. Kurtosis (19/120)-1.3895000.008000
Trim. Skewness (20/120)0.3969000.138800Trim. Kurtosis (20/120)-1.3693000.009800
Trim. Skewness (21/120)0.4138000.126000Trim. Kurtosis (21/120)-1.3470000.012000
Trim. Skewness (22/120)0.4319000.116400Trim. Kurtosis (22/120)-1.3238000.015000
Trim. Skewness (23/120)0.4508000.105200Trim. Kurtosis (23/120)-1.2991000.018200
Trim. Skewness (24/120)0.4713000.095000Trim. Kurtosis (24/120)-1.2733000.022600
Trim. Skewness (25/120)0.4935000.083600Trim. Kurtosis (25/120)-1.2469000.027200
Trim. Skewness (26/120)0.5185000.073400Trim. Kurtosis (26/120)-1.2182000.033200
Trim. Skewness (27/120)0.5484000.062800Trim. Kurtosis (27/120)-1.1822000.041400
Trim. Skewness (28/120)0.5760000.053600Trim. Kurtosis (28/120)-1.1401000.052400
Trim. Skewness (29/120)0.6080000.044400Trim. Kurtosis (29/120)-1.0932000.067200
Trim. Skewness (30/120)0.6411000.037600Trim. Kurtosis (30/120)-1.0427000.085400
Trim. Skewness (31/120)0.6737000.031600Trim. Kurtosis (31/120)-0.9859000.109600
Trim. Skewness (32/120)0.7104000.025800Trim. Kurtosis (32/120)-0.9193000.141600
Trim. Skewness (33/120)0.7456000.021400Trim. Kurtosis (33/120)-0.8483000.183600
Trim. Skewness (34/120)0.7844000.017400Trim. Kurtosis (34/120)-0.7710000.234000
Trim. Skewness (35/120)0.8215000.014200Trim. Kurtosis (35/120)-0.6925000.293800
Trim. Skewness (36/120)0.8690000.011000Trim. Kurtosis (36/120)-0.5895000.378800
Trim. Skewness (37/120)0.9088000.009400Trim. Kurtosis (37/120)-0.4790000.484000
Trim. Skewness (38/120)0.9515000.007600Trim. Kurtosis (38/120)-0.3574000.610000
Trim. Skewness (39/120)1.0023000.006000Trim. Kurtosis (39/120)-0.2001000.779400
Trim. Skewness (40/120)1.0569000.004600Trim. Kurtosis (40/120)-0.0320000.960200


Figures (Output of Computation)

Input Parameters & R Code

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