FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 14:51:44 +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/t12911285882mn5l5hiviizyfe.htm/, Retrieved Mon, 29 Apr 2024 15:25:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103557, Retrieved Mon, 29 Apr 2024 15:25:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact107

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 14:51:44] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
589.17
590.46
594.97
587.01
587.47
597
589
585
592.76
603.08
613.99
619.7
622.08
630
625.12
623.18
624.64
617.5
618.67
615.73
617.07
620.05
615.77
613.1
615.59
611.92
611.51
608.14
608.85
600.55
599.27
544.18
547
540.12
538.48
532.77
536.21
539.26
528.38
524.95
530
529.16
527.85
533.48
528.85
521.74
514.61
512.86
509.68
492.5
483.75
479.95
479.95
482.01
480.9
479.02
477.83
465.19
464.5
470.3
470.52
462.84
454.98
450.11
459.15
452.56
456.06
450
457.7
461.5
467.97
481.01
490.44
488.53
483.68
489
483.94
497.73
502.35
502.25
505.4
505.89
492.18
490.5
488.99
479.65
485.95
494.94
490.58
489.09
480.77
483.23
484
461.03
461.01
469.12
491.73
489.88
482.25
472.37
471.96
453.55
438.31
444
436.55
441.62
445.29
454.96
463.44
472.59
477.06
479.66
486.89
489.9
499.9
502.51
503.45
496.17
483.08
494.48

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.129099.592971FISHER 4th Cent. Mom.2.26833e+7
FISHER beta 10.438833FISHER beta 22.007579
FISHER gamma 10.662445FISHER gamma 2-0.992421
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.962544FISHER Test 2-2.219121
FISHER Test 1 Probability0.003000FISHER Test 2 Probability0.026400
Pearson 21.297345
Yule using Quartile definition:Weighted Average at Xnp0.707754
Yule using Quartile definition:Weighted Average at X(n+1)p0.716507
Yule using Quartile definition:Empirical Distribution Function0.707754
Yule using Quartile definition:Empirical Distribution Function - Averaging0.719929
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.723403
Yule using Quartile definition:Closest Observation0.707754
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.723403
Yule using Quartile definition:MS Excel (old versions)0.713134
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.670860Kurtosis (small sample)-0.983331
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)3.037235TEST 1 (small sample)-2.243356
TEST 1 Prob. (small sample)0.002400TEST 1 Prob. (small sample)0.024400
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.129099.592971 & FISHER 4th Cent. Mom.2.26833e+7 \tabularnewline FISHER beta 10.438833 & FISHER beta 22.007579 \tabularnewline FISHER gamma 10.662445 & FISHER gamma 2-0.992421 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 12.962544 & FISHER Test 2-2.219121 \tabularnewline FISHER Test 1 Probability0.003000 & FISHER Test 2 Probability0.026400 \tabularnewline Pearson 21.297345 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.707754 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.716507 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.707754 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.719929 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.723403 & & \tabularnewline Yule using Quartile definition:Closest Observation0.707754 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.723403 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.713134 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.670860 & Kurtosis (small sample)-0.983331 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)3.037235 & TEST 1 (small sample)-2.243356 \tabularnewline TEST 1 Prob. (small sample)0.002400 & TEST 1 Prob. (small sample)0.024400 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103557&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]129099.592971[/C][C]FISHER 4th Cent. Mom.[/C]2.26833e+7[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.438833[/C][C]FISHER beta 2[/C]2.007579[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.662445[/C][C]FISHER gamma 2[/C]-0.992421[/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]2.962544[/C][C]FISHER Test 2[/C]-2.219121[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.003000[/C][C]FISHER Test 2 Probability[/C]0.026400[/C][/ROW] [ROW][C]Pearson 2[/C]1.297345[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.707754[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.716507[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.707754[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.719929[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.723403[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.707754[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.723403[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.713134[/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]0.670860[/C][C]Kurtosis (small sample)[/C]-0.983331[/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]3.037235[/C][C]TEST 1 (small sample)[/C]-2.243356[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.002400[/C][C]TEST 1 Prob. (small sample)[/C]0.024400[/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=103557&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103557&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.129099.592971FISHER 4th Cent. Mom.2.26833e+7
FISHER beta 10.438833FISHER beta 22.007579
FISHER gamma 10.662445FISHER gamma 2-0.992421
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.962544FISHER Test 2-2.219121
FISHER Test 1 Probability0.003000FISHER Test 2 Probability0.026400
Pearson 21.297345
Yule using Quartile definition:Weighted Average at Xnp0.707754
Yule using Quartile definition:Weighted Average at X(n+1)p0.716507
Yule using Quartile definition:Empirical Distribution Function0.707754
Yule using Quartile definition:Empirical Distribution Function - Averaging0.719929
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.723403
Yule using Quartile definition:Closest Observation0.707754
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.723403
Yule using Quartile definition:MS Excel (old versions)0.713134
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.670860Kurtosis (small sample)-0.983331
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)3.037235TEST 1 (small sample)-2.243356
TEST 1 Prob. (small sample)0.002400TEST 1 Prob. (small sample)0.024400
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.6709000.002400Trim. Kurtosis (0/120)-0.9833000.024400
Trim. Skewness (1/120)0.6908000.001800Trim. Kurtosis (1/120)-0.9615000.029200
Trim. Skewness (2/120)0.7135000.001400Trim. Kurtosis (2/120)-0.9321000.035800
Trim. Skewness (3/120)0.7351000.001200Trim. Kurtosis (3/120)-0.9006000.044400
Trim. Skewness (4/120)0.7569000.001000Trim. Kurtosis (4/120)-0.8656000.054800
Trim. Skewness (5/120)0.7795000.000600Trim. Kurtosis (5/120)-0.8278000.068800
Trim. Skewness (6/120)0.8007000.000600Trim. Kurtosis (6/120)-0.7848000.087200
Trim. Skewness (7/120)0.8232000.000400Trim. Kurtosis (7/120)-0.7395000.111800
Trim. Skewness (8/120)0.8453000.000400Trim. Kurtosis (8/120)-0.6906000.138800
Trim. Skewness (9/120)0.8686000.000200Trim. Kurtosis (9/120)-0.6373000.177000
Trim. Skewness (10/120)0.8919000.000200Trim. Kurtosis (10/120)-0.5812000.222400
Trim. Skewness (11/120)0.9174000.000200Trim. Kurtosis (11/120)-0.5195000.280200
Trim. Skewness (12/120)0.9430000.000200Trim. Kurtosis (12/120)-0.4558000.347200
Trim. Skewness (13/120)0.9677000.000000Trim. Kurtosis (13/120)-0.3907000.423800
Trim. Skewness (14/120)0.9930000.000000Trim. Kurtosis (14/120)-0.3197000.515600
Trim. Skewness (15/120)1.0176000.000000Trim. Kurtosis (15/120)-0.2456000.624200
Trim. Skewness (16/120)1.0437000.000000Trim. Kurtosis (16/120)-0.1666000.741400
Trim. Skewness (17/120)1.0692000.000000Trim. Kurtosis (17/120)-0.0884000.857200
Trim. Skewness (18/120)1.0964000.000000Trim. Kurtosis (18/120)0.0005000.992000
Trim. Skewness (19/120)1.1226000.000000Trim. Kurtosis (19/120)0.0878000.865000
Trim. Skewness (20/120)1.1556000.000000Trim. Kurtosis (20/120)0.2050000.696600
Trim. Skewness (21/120)1.1921000.000000Trim. Kurtosis (21/120)0.3406000.522200
Trim. Skewness (22/120)1.2255000.000000Trim. Kurtosis (22/120)0.4838000.373400
Trim. Skewness (23/120)1.2599000.000000Trim. Kurtosis (23/120)0.6453000.242000
Trim. Skewness (24/120)1.2941000.000000Trim. Kurtosis (24/120)0.8246000.138800
Trim. Skewness (25/120)1.3298000.000000Trim. Kurtosis (25/120)1.0277000.068800
Trim. Skewness (26/120)1.3632000.000000Trim. Kurtosis (26/120)1.2540000.028600
Trim. Skewness (27/120)1.3891000.000000Trim. Kurtosis (27/120)1.4844000.010400
Trim. Skewness (28/120)1.3909000.000000Trim. Kurtosis (28/120)1.6495000.005200
Trim. Skewness (29/120)1.3378000.000000Trim. Kurtosis (29/120)1.6439000.006000
Trim. Skewness (30/120)1.1708000.000200Trim. Kurtosis (30/120)1.1034000.068800
Trim. Skewness (31/120)0.7650000.014600Trim. Kurtosis (31/120)-0.8263000.180200
Trim. Skewness (32/120)0.7622000.016800Trim. Kurtosis (32/120)-0.8391000.180200
Trim. Skewness (33/120)0.7656000.018200Trim. Kurtosis (33/120)-0.8356000.190200
Trim. Skewness (34/120)0.7847000.017400Trim. Kurtosis (34/120)-0.7830000.226200
Trim. Skewness (35/120)0.8039000.016800Trim. Kurtosis (35/120)-0.7323000.267000
Trim. Skewness (36/120)0.8174000.016800Trim. Kurtosis (36/120)-0.6936000.303000
Trim. Skewness (37/120)0.8387000.016400Trim. Kurtosis (37/120)-0.6315000.357600
Trim. Skewness (38/120)0.8749000.014200Trim. Kurtosis (38/120)-0.5229000.453200
Trim. Skewness (39/120)0.9063000.012800Trim. Kurtosis (39/120)-0.4102000.562000
Trim. Skewness (40/120)0.9564000.010400Trim. Kurtosis (40/120)-0.2266000.756600

\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)0.6709000.002400 & Trim. Kurtosis (0/120)-0.9833000.024400 \tabularnewline Trim. Skewness (1/120)0.6908000.001800 & Trim. Kurtosis (1/120)-0.9615000.029200 \tabularnewline Trim. Skewness (2/120)0.7135000.001400 & Trim. Kurtosis (2/120)-0.9321000.035800 \tabularnewline Trim. Skewness (3/120)0.7351000.001200 & Trim. Kurtosis (3/120)-0.9006000.044400 \tabularnewline Trim. Skewness (4/120)0.7569000.001000 & Trim. Kurtosis (4/120)-0.8656000.054800 \tabularnewline Trim. Skewness (5/120)0.7795000.000600 & Trim. Kurtosis (5/120)-0.8278000.068800 \tabularnewline Trim. Skewness (6/120)0.8007000.000600 & Trim. Kurtosis (6/120)-0.7848000.087200 \tabularnewline Trim. Skewness (7/120)0.8232000.000400 & Trim. Kurtosis (7/120)-0.7395000.111800 \tabularnewline Trim. Skewness (8/120)0.8453000.000400 & Trim. Kurtosis (8/120)-0.6906000.138800 \tabularnewline Trim. Skewness (9/120)0.8686000.000200 & Trim. Kurtosis (9/120)-0.6373000.177000 \tabularnewline Trim. Skewness (10/120)0.8919000.000200 & Trim. Kurtosis (10/120)-0.5812000.222400 \tabularnewline Trim. Skewness (11/120)0.9174000.000200 & Trim. Kurtosis (11/120)-0.5195000.280200 \tabularnewline Trim. Skewness (12/120)0.9430000.000200 & Trim. Kurtosis (12/120)-0.4558000.347200 \tabularnewline Trim. Skewness (13/120)0.9677000.000000 & Trim. Kurtosis (13/120)-0.3907000.423800 \tabularnewline Trim. Skewness (14/120)0.9930000.000000 & Trim. Kurtosis (14/120)-0.3197000.515600 \tabularnewline Trim. Skewness (15/120)1.0176000.000000 & Trim. Kurtosis (15/120)-0.2456000.624200 \tabularnewline Trim. Skewness (16/120)1.0437000.000000 & Trim. Kurtosis (16/120)-0.1666000.741400 \tabularnewline Trim. Skewness (17/120)1.0692000.000000 & Trim. Kurtosis (17/120)-0.0884000.857200 \tabularnewline Trim. Skewness (18/120)1.0964000.000000 & Trim. Kurtosis (18/120)0.0005000.992000 \tabularnewline Trim. Skewness (19/120)1.1226000.000000 & Trim. Kurtosis (19/120)0.0878000.865000 \tabularnewline Trim. Skewness (20/120)1.1556000.000000 & Trim. Kurtosis (20/120)0.2050000.696600 \tabularnewline Trim. Skewness (21/120)1.1921000.000000 & Trim. Kurtosis (21/120)0.3406000.522200 \tabularnewline Trim. Skewness (22/120)1.2255000.000000 & Trim. Kurtosis (22/120)0.4838000.373400 \tabularnewline Trim. Skewness (23/120)1.2599000.000000 & Trim. Kurtosis (23/120)0.6453000.242000 \tabularnewline Trim. Skewness (24/120)1.2941000.000000 & Trim. Kurtosis (24/120)0.8246000.138800 \tabularnewline Trim. Skewness (25/120)1.3298000.000000 & Trim. Kurtosis (25/120)1.0277000.068800 \tabularnewline Trim. Skewness (26/120)1.3632000.000000 & Trim. Kurtosis (26/120)1.2540000.028600 \tabularnewline Trim. Skewness (27/120)1.3891000.000000 & Trim. Kurtosis (27/120)1.4844000.010400 \tabularnewline Trim. Skewness (28/120)1.3909000.000000 & Trim. Kurtosis (28/120)1.6495000.005200 \tabularnewline Trim. Skewness (29/120)1.3378000.000000 & Trim. Kurtosis (29/120)1.6439000.006000 \tabularnewline Trim. Skewness (30/120)1.1708000.000200 & Trim. Kurtosis (30/120)1.1034000.068800 \tabularnewline Trim. Skewness (31/120)0.7650000.014600 & Trim. Kurtosis (31/120)-0.8263000.180200 \tabularnewline Trim. Skewness (32/120)0.7622000.016800 & Trim. Kurtosis (32/120)-0.8391000.180200 \tabularnewline Trim. Skewness (33/120)0.7656000.018200 & Trim. Kurtosis (33/120)-0.8356000.190200 \tabularnewline Trim. Skewness (34/120)0.7847000.017400 & Trim. Kurtosis (34/120)-0.7830000.226200 \tabularnewline Trim. Skewness (35/120)0.8039000.016800 & Trim. Kurtosis (35/120)-0.7323000.267000 \tabularnewline Trim. Skewness (36/120)0.8174000.016800 & Trim. Kurtosis (36/120)-0.6936000.303000 \tabularnewline Trim. Skewness (37/120)0.8387000.016400 & Trim. Kurtosis (37/120)-0.6315000.357600 \tabularnewline Trim. Skewness (38/120)0.8749000.014200 & Trim. Kurtosis (38/120)-0.5229000.453200 \tabularnewline Trim. Skewness (39/120)0.9063000.012800 & Trim. Kurtosis (39/120)-0.4102000.562000 \tabularnewline Trim. Skewness (40/120)0.9564000.010400 & Trim. Kurtosis (40/120)-0.2266000.756600 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103557&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]0.670900[/C]0.002400[/C][C]Trim. Kurtosis (0/120)[/C]-0.983300[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.690800[/C]0.001800[/C][C]Trim. Kurtosis (1/120)[/C]-0.961500[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.713500[/C]0.001400[/C][C]Trim. Kurtosis (2/120)[/C]-0.932100[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.735100[/C]0.001200[/C][C]Trim. Kurtosis (3/120)[/C]-0.900600[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.756900[/C]0.001000[/C][C]Trim. Kurtosis (4/120)[/C]-0.865600[/C]0.054800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.779500[/C]0.000600[/C][C]Trim. Kurtosis (5/120)[/C]-0.827800[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.800700[/C]0.000600[/C][C]Trim. Kurtosis (6/120)[/C]-0.784800[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.823200[/C]0.000400[/C][C]Trim. Kurtosis (7/120)[/C]-0.739500[/C]0.111800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.845300[/C]0.000400[/C][C]Trim. Kurtosis (8/120)[/C]-0.690600[/C]0.138800[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.868600[/C]0.000200[/C][C]Trim. Kurtosis (9/120)[/C]-0.637300[/C]0.177000[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.891900[/C]0.000200[/C][C]Trim. Kurtosis (10/120)[/C]-0.581200[/C]0.222400[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.917400[/C]0.000200[/C][C]Trim. Kurtosis (11/120)[/C]-0.519500[/C]0.280200[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.943000[/C]0.000200[/C][C]Trim. Kurtosis (12/120)[/C]-0.455800[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.967700[/C]0.000000[/C][C]Trim. Kurtosis (13/120)[/C]-0.390700[/C]0.423800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.993000[/C]0.000000[/C][C]Trim. Kurtosis (14/120)[/C]-0.319700[/C]0.515600[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]1.017600[/C]0.000000[/C][C]Trim. Kurtosis (15/120)[/C]-0.245600[/C]0.624200[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]1.043700[/C]0.000000[/C][C]Trim. Kurtosis (16/120)[/C]-0.166600[/C]0.741400[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]1.069200[/C]0.000000[/C][C]Trim. Kurtosis (17/120)[/C]-0.088400[/C]0.857200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]1.096400[/C]0.000000[/C][C]Trim. Kurtosis (18/120)[/C]0.000500[/C]0.992000[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]1.122600[/C]0.000000[/C][C]Trim. Kurtosis (19/120)[/C]0.087800[/C]0.865000[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]1.155600[/C]0.000000[/C][C]Trim. Kurtosis (20/120)[/C]0.205000[/C]0.696600[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]1.192100[/C]0.000000[/C][C]Trim. Kurtosis (21/120)[/C]0.340600[/C]0.522200[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]1.225500[/C]0.000000[/C][C]Trim. Kurtosis (22/120)[/C]0.483800[/C]0.373400[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]1.259900[/C]0.000000[/C][C]Trim. Kurtosis (23/120)[/C]0.645300[/C]0.242000[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]1.294100[/C]0.000000[/C][C]Trim. Kurtosis (24/120)[/C]0.824600[/C]0.138800[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]1.329800[/C]0.000000[/C][C]Trim. Kurtosis (25/120)[/C]1.027700[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]1.363200[/C]0.000000[/C][C]Trim. Kurtosis (26/120)[/C]1.254000[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]1.389100[/C]0.000000[/C][C]Trim. Kurtosis (27/120)[/C]1.484400[/C]0.010400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]1.390900[/C]0.000000[/C][C]Trim. Kurtosis (28/120)[/C]1.649500[/C]0.005200[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]1.337800[/C]0.000000[/C][C]Trim. Kurtosis (29/120)[/C]1.643900[/C]0.006000[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]1.170800[/C]0.000200[/C][C]Trim. Kurtosis (30/120)[/C]1.103400[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.765000[/C]0.014600[/C][C]Trim. Kurtosis (31/120)[/C]-0.826300[/C]0.180200[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.762200[/C]0.016800[/C][C]Trim. Kurtosis (32/120)[/C]-0.839100[/C]0.180200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.765600[/C]0.018200[/C][C]Trim. Kurtosis (33/120)[/C]-0.835600[/C]0.190200[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.784700[/C]0.017400[/C][C]Trim. Kurtosis (34/120)[/C]-0.783000[/C]0.226200[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.803900[/C]0.016800[/C][C]Trim. Kurtosis (35/120)[/C]-0.732300[/C]0.267000[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.817400[/C]0.016800[/C][C]Trim. Kurtosis (36/120)[/C]-0.693600[/C]0.303000[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.838700[/C]0.016400[/C][C]Trim. Kurtosis (37/120)[/C]-0.631500[/C]0.357600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.874900[/C]0.014200[/C][C]Trim. Kurtosis (38/120)[/C]-0.522900[/C]0.453200[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.906300[/C]0.012800[/C][C]Trim. Kurtosis (39/120)[/C]-0.410200[/C]0.562000[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.956400[/C]0.010400[/C][C]Trim. Kurtosis (40/120)[/C]-0.226600[/C]0.756600[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103557&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103557&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)0.6709000.002400Trim. Kurtosis (0/120)-0.9833000.024400
Trim. Skewness (1/120)0.6908000.001800Trim. Kurtosis (1/120)-0.9615000.029200
Trim. Skewness (2/120)0.7135000.001400Trim. Kurtosis (2/120)-0.9321000.035800
Trim. Skewness (3/120)0.7351000.001200Trim. Kurtosis (3/120)-0.9006000.044400
Trim. Skewness (4/120)0.7569000.001000Trim. Kurtosis (4/120)-0.8656000.054800
Trim. Skewness (5/120)0.7795000.000600Trim. Kurtosis (5/120)-0.8278000.068800
Trim. Skewness (6/120)0.8007000.000600Trim. Kurtosis (6/120)-0.7848000.087200
Trim. Skewness (7/120)0.8232000.000400Trim. Kurtosis (7/120)-0.7395000.111800
Trim. Skewness (8/120)0.8453000.000400Trim. Kurtosis (8/120)-0.6906000.138800
Trim. Skewness (9/120)0.8686000.000200Trim. Kurtosis (9/120)-0.6373000.177000
Trim. Skewness (10/120)0.8919000.000200Trim. Kurtosis (10/120)-0.5812000.222400
Trim. Skewness (11/120)0.9174000.000200Trim. Kurtosis (11/120)-0.5195000.280200
Trim. Skewness (12/120)0.9430000.000200Trim. Kurtosis (12/120)-0.4558000.347200
Trim. Skewness (13/120)0.9677000.000000Trim. Kurtosis (13/120)-0.3907000.423800
Trim. Skewness (14/120)0.9930000.000000Trim. Kurtosis (14/120)-0.3197000.515600
Trim. Skewness (15/120)1.0176000.000000Trim. Kurtosis (15/120)-0.2456000.624200
Trim. Skewness (16/120)1.0437000.000000Trim. Kurtosis (16/120)-0.1666000.741400
Trim. Skewness (17/120)1.0692000.000000Trim. Kurtosis (17/120)-0.0884000.857200
Trim. Skewness (18/120)1.0964000.000000Trim. Kurtosis (18/120)0.0005000.992000
Trim. Skewness (19/120)1.1226000.000000Trim. Kurtosis (19/120)0.0878000.865000
Trim. Skewness (20/120)1.1556000.000000Trim. Kurtosis (20/120)0.2050000.696600
Trim. Skewness (21/120)1.1921000.000000Trim. Kurtosis (21/120)0.3406000.522200
Trim. Skewness (22/120)1.2255000.000000Trim. Kurtosis (22/120)0.4838000.373400
Trim. Skewness (23/120)1.2599000.000000Trim. Kurtosis (23/120)0.6453000.242000
Trim. Skewness (24/120)1.2941000.000000Trim. Kurtosis (24/120)0.8246000.138800
Trim. Skewness (25/120)1.3298000.000000Trim. Kurtosis (25/120)1.0277000.068800
Trim. Skewness (26/120)1.3632000.000000Trim. Kurtosis (26/120)1.2540000.028600
Trim. Skewness (27/120)1.3891000.000000Trim. Kurtosis (27/120)1.4844000.010400
Trim. Skewness (28/120)1.3909000.000000Trim. Kurtosis (28/120)1.6495000.005200
Trim. Skewness (29/120)1.3378000.000000Trim. Kurtosis (29/120)1.6439000.006000
Trim. Skewness (30/120)1.1708000.000200Trim. Kurtosis (30/120)1.1034000.068800
Trim. Skewness (31/120)0.7650000.014600Trim. Kurtosis (31/120)-0.8263000.180200
Trim. Skewness (32/120)0.7622000.016800Trim. Kurtosis (32/120)-0.8391000.180200
Trim. Skewness (33/120)0.7656000.018200Trim. Kurtosis (33/120)-0.8356000.190200
Trim. Skewness (34/120)0.7847000.017400Trim. Kurtosis (34/120)-0.7830000.226200
Trim. Skewness (35/120)0.8039000.016800Trim. Kurtosis (35/120)-0.7323000.267000
Trim. Skewness (36/120)0.8174000.016800Trim. Kurtosis (36/120)-0.6936000.303000
Trim. Skewness (37/120)0.8387000.016400Trim. Kurtosis (37/120)-0.6315000.357600
Trim. Skewness (38/120)0.8749000.014200Trim. Kurtosis (38/120)-0.5229000.453200
Trim. Skewness (39/120)0.9063000.012800Trim. Kurtosis (39/120)-0.4102000.562000
Trim. Skewness (40/120)0.9564000.010400Trim. Kurtosis (40/120)-0.2266000.756600


Figures (Output of Computation)

Input Parameters & R Code

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