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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 18:52:42 +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/t1291143041nf73ixwdwe8j7d1.htm/, Retrieved Mon, 29 Apr 2024 11:43:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103745, Retrieved Mon, 29 Apr 2024 11:43:03 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact143

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 18:52:42] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7,88
7,27
6,98
7,12
7,12
6,96
6,70
7,00
7,01
7,04
7,07
7,27
7,33
7,20
7,29
7,43
7,36
7,30
7,32
7,61
7,51
7,65
7,48
7,33
7,16
7,13
6,22
6,42
6,42
6,32
6,39
6,35
6,11
6,15
6,15
5,97
5,85
5,75
5,96
5,99
5,89
5,90
5,88
5,70
5,66
5,73
5,63
5,56
5,46
5,53
5,48
5,08
5,07
4,94
4,99
4,90
4,93
5,22
5,17
5,07
4,90
4,81
4,96
4,83
4,91
4,83
4,93
5,03
5,20
5,17
5,29
5,49
5,25
5,15
5,44
4,99
5,43
5,62
5,64
5,70
5,81
5,74
5,89
6,00
5,87
5,84
6,00
6,10
5,99
5,93
5,74
5,99
5,74
5,68
5,78
5,78
5,80
5,70
5,90
5,55
5,39
5,18
5,26
5,24
5,17
5,23
5,40
5,47
5,32
5,57
5,83
6,15
6,34
6,24
6,34
7,02
6,95
6,83
6,80
6,72

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.258024FISHER 4th Cent. Mom.0.898224
FISHER beta 10.244154FISHER beta 22.136057
FISHER gamma 10.494119FISHER gamma 2-0.863943
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.209768FISHER Test 2-1.931836
FISHER Test 1 Probability0.027200FISHER Test 2 Probability0.052400
Pearson 20.612441
Yule using Quartile definition:Weighted Average at Xnp0.305344
Yule using Quartile definition:Weighted Average at X(n+1)p0.315690
Yule using Quartile definition:Empirical Distribution Function0.305344
Yule using Quartile definition:Empirical Distribution Function - Averaging0.315589
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.315488
Yule using Quartile definition:Closest Observation0.305344
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.315488
Yule using Quartile definition:MS Excel (old versions)0.315789
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.500396Kurtosis (small sample)-0.849335
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)2.265480TEST 1 (small sample)-1.937659
TEST 1 Prob. (small sample)0.023200TEST 1 Prob. (small sample)0.052400
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.0.258024 & FISHER 4th Cent. Mom.0.898224 \tabularnewline FISHER beta 10.244154 & FISHER beta 22.136057 \tabularnewline FISHER gamma 10.494119 & FISHER gamma 2-0.863943 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 12.209768 & FISHER Test 2-1.931836 \tabularnewline FISHER Test 1 Probability0.027200 & FISHER Test 2 Probability0.052400 \tabularnewline Pearson 20.612441 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.305344 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.315690 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.305344 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.315589 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.315488 & & \tabularnewline Yule using Quartile definition:Closest Observation0.305344 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.315488 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.315789 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.500396 & Kurtosis (small sample)-0.849335 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)2.265480 & TEST 1 (small sample)-1.937659 \tabularnewline TEST 1 Prob. (small sample)0.023200 & TEST 1 Prob. (small sample)0.052400 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103745&T=0

[TABLE]

[ROW][C]Skewness and Kurtosis - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure[/C]
Value[/C]Kurtosis Measure[/C]Value[/C][/ROW] [ROW][C]FISHER 3rd Cent. Mom.[/C]0.258024[/C][C]FISHER 4th Cent. Mom.[/C]0.898224[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.244154[/C][C]FISHER beta 2[/C]2.136057[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.494119[/C][C]FISHER gamma 2[/C]-0.863943[/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]2.209768[/C][C]FISHER Test 2[/C]-1.931836[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.027200[/C][C]FISHER Test 2 Probability[/C]0.052400[/C][/ROW] [ROW][C]Pearson 2[/C]0.612441[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.305344[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.315690[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.305344[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.315589[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.315488[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.305344[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.315488[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.315789[/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]0.500396[/C][C]Kurtosis (small sample)[/C]-0.849335[/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]2.265480[/C][C]TEST 1 (small sample)[/C]-1.937659[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.023200[/C][C]TEST 1 Prob. (small sample)[/C]0.052400[/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=103745&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103745&T=0

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

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.258024FISHER 4th Cent. Mom.0.898224
FISHER beta 10.244154FISHER beta 22.136057
FISHER gamma 10.494119FISHER gamma 2-0.863943
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.209768FISHER Test 2-1.931836
FISHER Test 1 Probability0.027200FISHER Test 2 Probability0.052400
Pearson 20.612441
Yule using Quartile definition:Weighted Average at Xnp0.305344
Yule using Quartile definition:Weighted Average at X(n+1)p0.315690
Yule using Quartile definition:Empirical Distribution Function0.305344
Yule using Quartile definition:Empirical Distribution Function - Averaging0.315589
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.315488
Yule using Quartile definition:Closest Observation0.305344
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.315488
Yule using Quartile definition:MS Excel (old versions)0.315789
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.500396Kurtosis (small sample)-0.849335
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)2.265480TEST 1 (small sample)-1.937659
TEST 1 Prob. (small sample)0.023200TEST 1 Prob. (small sample)0.052400
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.5004000.023200Trim. Kurtosis (0/120)-0.8493000.052400
Trim. Skewness (1/120)0.4845000.029200Trim. Kurtosis (1/120)-0.8964000.042400
Trim. Skewness (2/120)0.4858000.030000Trim. Kurtosis (2/120)-0.8965000.043400
Trim. Skewness (3/120)0.4888000.030800Trim. Kurtosis (3/120)-0.8968000.045600
Trim. Skewness (4/120)0.4939000.030000Trim. Kurtosis (4/120)-0.8816000.051200
Trim. Skewness (5/120)0.5006000.029200Trim. Kurtosis (5/120)-0.8654000.057400
Trim. Skewness (6/120)0.5100000.027800Trim. Kurtosis (6/120)-0.8440000.065800
Trim. Skewness (7/120)0.5234000.025000Trim. Kurtosis (7/120)-0.8127000.080200
Trim. Skewness (8/120)0.5396000.022600Trim. Kurtosis (8/120)-0.7778000.097000
Trim. Skewness (9/120)0.5559000.019800Trim. Kurtosis (9/120)-0.7439000.114200
Trim. Skewness (10/120)0.5718000.017800Trim. Kurtosis (10/120)-0.7096000.136200
Trim. Skewness (11/120)0.5870000.016000Trim. Kurtosis (11/120)-0.6726000.161600
Trim. Skewness (12/120)0.6036000.013800Trim. Kurtosis (12/120)-0.6370000.190200
Trim. Skewness (13/120)0.6179000.012800Trim. Kurtosis (13/120)-0.5993000.222400
Trim. Skewness (14/120)0.6266000.012400Trim. Kurtosis (14/120)-0.5670000.254200
Trim. Skewness (15/120)0.6433000.011000Trim. Kurtosis (15/120)-0.5188000.298400
Trim. Skewness (16/120)0.6640000.009600Trim. Kurtosis (16/120)-0.4613000.362800
Trim. Skewness (17/120)0.6793000.008800Trim. Kurtosis (17/120)-0.3946000.441200
Trim. Skewness (18/120)0.6922000.008200Trim. Kurtosis (18/120)-0.3260000.528600
Trim. Skewness (19/120)0.7028000.008000Trim. Kurtosis (19/120)-0.2619000.617000
Trim. Skewness (20/120)0.7200000.007400Trim. Kurtosis (20/120)-0.1807000.733800
Trim. Skewness (21/120)0.7396000.006600Trim. Kurtosis (21/120)-0.0885000.865000
Trim. Skewness (22/120)0.7575000.006000Trim. Kurtosis (22/120)0.0106000.984000
Trim. Skewness (23/120)0.7696000.005800Trim. Kurtosis (23/120)0.1071000.841400
Trim. Skewness (24/120)0.7748000.006200Trim. Kurtosis (24/120)0.1911000.726400
Trim. Skewness (25/120)0.7721000.007000Trim. Kurtosis (25/120)0.2555000.645600
Trim. Skewness (26/120)0.7555000.009400Trim. Kurtosis (26/120)0.2735000.631200
Trim. Skewness (27/120)0.7072000.016400Trim. Kurtosis (27/120)0.1605000.779400
Trim. Skewness (28/120)0.6809000.022600Trim. Kurtosis (28/120)0.1251000.825800
Trim. Skewness (29/120)0.6202000.040400Trim. Kurtosis (29/120)-0.0315000.952200
Trim. Skewness (30/120)0.5335000.083600Trim. Kurtosis (30/120)-0.2068000.733800
Trim. Skewness (31/120)0.3759000.230200Trim. Kurtosis (31/120)-0.6740000.271400
Trim. Skewness (32/120)0.3855000.226200Trim. Kurtosis (32/120)-0.6197000.322200
Trim. Skewness (33/120)0.3845000.234000Trim. Kurtosis (33/120)-0.5916000.352400
Trim. Skewness (34/120)0.3829000.246000Trim. Kurtosis (34/120)-0.5536000.389800
Trim. Skewness (35/120)0.3964000.238000Trim. Kurtosis (35/120)-0.4869000.459200
Trim. Skewness (36/120)0.4052000.234000Trim. Kurtosis (36/120)-0.4414000.509200
Trim. Skewness (37/120)0.3901000.262800Trim. Kurtosis (37/120)-0.4953000.465400
Trim. Skewness (38/120)0.3213000.368200Trim. Kurtosis (38/120)-0.6500000.352400
Trim. Skewness (39/120)0.3059000.400800Trim. Kurtosis (39/120)-0.6644000.352400
Trim. Skewness (40/120)0.2828000.447200Trim. Kurtosis (40/120)-0.7432000.307800

\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)0.5004000.023200 & Trim. Kurtosis (0/120)-0.8493000.052400 \tabularnewline Trim. Skewness (1/120)0.4845000.029200 & Trim. Kurtosis (1/120)-0.8964000.042400 \tabularnewline Trim. Skewness (2/120)0.4858000.030000 & Trim. Kurtosis (2/120)-0.8965000.043400 \tabularnewline Trim. Skewness (3/120)0.4888000.030800 & Trim. Kurtosis (3/120)-0.8968000.045600 \tabularnewline Trim. Skewness (4/120)0.4939000.030000 & Trim. Kurtosis (4/120)-0.8816000.051200 \tabularnewline Trim. Skewness (5/120)0.5006000.029200 & Trim. Kurtosis (5/120)-0.8654000.057400 \tabularnewline Trim. Skewness (6/120)0.5100000.027800 & Trim. Kurtosis (6/120)-0.8440000.065800 \tabularnewline Trim. Skewness (7/120)0.5234000.025000 & Trim. Kurtosis (7/120)-0.8127000.080200 \tabularnewline Trim. Skewness (8/120)0.5396000.022600 & Trim. Kurtosis (8/120)-0.7778000.097000 \tabularnewline Trim. Skewness (9/120)0.5559000.019800 & Trim. Kurtosis (9/120)-0.7439000.114200 \tabularnewline Trim. Skewness (10/120)0.5718000.017800 & Trim. Kurtosis (10/120)-0.7096000.136200 \tabularnewline Trim. Skewness (11/120)0.5870000.016000 & Trim. Kurtosis (11/120)-0.6726000.161600 \tabularnewline Trim. Skewness (12/120)0.6036000.013800 & Trim. Kurtosis (12/120)-0.6370000.190200 \tabularnewline Trim. Skewness (13/120)0.6179000.012800 & Trim. Kurtosis (13/120)-0.5993000.222400 \tabularnewline Trim. Skewness (14/120)0.6266000.012400 & Trim. Kurtosis (14/120)-0.5670000.254200 \tabularnewline Trim. Skewness (15/120)0.6433000.011000 & Trim. Kurtosis (15/120)-0.5188000.298400 \tabularnewline Trim. Skewness (16/120)0.6640000.009600 & Trim. Kurtosis (16/120)-0.4613000.362800 \tabularnewline Trim. Skewness (17/120)0.6793000.008800 & Trim. Kurtosis (17/120)-0.3946000.441200 \tabularnewline Trim. Skewness (18/120)0.6922000.008200 & Trim. Kurtosis (18/120)-0.3260000.528600 \tabularnewline Trim. Skewness (19/120)0.7028000.008000 & Trim. Kurtosis (19/120)-0.2619000.617000 \tabularnewline Trim. Skewness (20/120)0.7200000.007400 & Trim. Kurtosis (20/120)-0.1807000.733800 \tabularnewline Trim. Skewness (21/120)0.7396000.006600 & Trim. Kurtosis (21/120)-0.0885000.865000 \tabularnewline Trim. Skewness (22/120)0.7575000.006000 & Trim. Kurtosis (22/120)0.0106000.984000 \tabularnewline Trim. Skewness (23/120)0.7696000.005800 & Trim. Kurtosis (23/120)0.1071000.841400 \tabularnewline Trim. Skewness (24/120)0.7748000.006200 & Trim. Kurtosis (24/120)0.1911000.726400 \tabularnewline Trim. Skewness (25/120)0.7721000.007000 & Trim. Kurtosis (25/120)0.2555000.645600 \tabularnewline Trim. Skewness (26/120)0.7555000.009400 & Trim. Kurtosis (26/120)0.2735000.631200 \tabularnewline Trim. Skewness (27/120)0.7072000.016400 & Trim. Kurtosis (27/120)0.1605000.779400 \tabularnewline Trim. Skewness (28/120)0.6809000.022600 & Trim. Kurtosis (28/120)0.1251000.825800 \tabularnewline Trim. Skewness (29/120)0.6202000.040400 & Trim. Kurtosis (29/120)-0.0315000.952200 \tabularnewline Trim. Skewness (30/120)0.5335000.083600 & Trim. Kurtosis (30/120)-0.2068000.733800 \tabularnewline Trim. Skewness (31/120)0.3759000.230200 & Trim. Kurtosis (31/120)-0.6740000.271400 \tabularnewline Trim. Skewness (32/120)0.3855000.226200 & Trim. Kurtosis (32/120)-0.6197000.322200 \tabularnewline Trim. Skewness (33/120)0.3845000.234000 & Trim. Kurtosis (33/120)-0.5916000.352400 \tabularnewline Trim. Skewness (34/120)0.3829000.246000 & Trim. Kurtosis (34/120)-0.5536000.389800 \tabularnewline Trim. Skewness (35/120)0.3964000.238000 & Trim. Kurtosis (35/120)-0.4869000.459200 \tabularnewline Trim. Skewness (36/120)0.4052000.234000 & Trim. Kurtosis (36/120)-0.4414000.509200 \tabularnewline Trim. Skewness (37/120)0.3901000.262800 & Trim. Kurtosis (37/120)-0.4953000.465400 \tabularnewline Trim. Skewness (38/120)0.3213000.368200 & Trim. Kurtosis (38/120)-0.6500000.352400 \tabularnewline Trim. Skewness (39/120)0.3059000.400800 & Trim. Kurtosis (39/120)-0.6644000.352400 \tabularnewline Trim. Skewness (40/120)0.2828000.447200 & Trim. Kurtosis (40/120)-0.7432000.307800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103745&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]0.500400[/C]0.023200[/C][C]Trim. Kurtosis (0/120)[/C]-0.849300[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.484500[/C]0.029200[/C][C]Trim. Kurtosis (1/120)[/C]-0.896400[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.485800[/C]0.030000[/C][C]Trim. Kurtosis (2/120)[/C]-0.896500[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.488800[/C]0.030800[/C][C]Trim. Kurtosis (3/120)[/C]-0.896800[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.493900[/C]0.030000[/C][C]Trim. Kurtosis (4/120)[/C]-0.881600[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.500600[/C]0.029200[/C][C]Trim. Kurtosis (5/120)[/C]-0.865400[/C]0.057400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.510000[/C]0.027800[/C][C]Trim. Kurtosis (6/120)[/C]-0.844000[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.523400[/C]0.025000[/C][C]Trim. Kurtosis (7/120)[/C]-0.812700[/C]0.080200[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.539600[/C]0.022600[/C][C]Trim. Kurtosis (8/120)[/C]-0.777800[/C]0.097000[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.555900[/C]0.019800[/C][C]Trim. Kurtosis (9/120)[/C]-0.743900[/C]0.114200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.571800[/C]0.017800[/C][C]Trim. Kurtosis (10/120)[/C]-0.709600[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.587000[/C]0.016000[/C][C]Trim. Kurtosis (11/120)[/C]-0.672600[/C]0.161600[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.603600[/C]0.013800[/C][C]Trim. Kurtosis (12/120)[/C]-0.637000[/C]0.190200[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.617900[/C]0.012800[/C][C]Trim. Kurtosis (13/120)[/C]-0.599300[/C]0.222400[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.626600[/C]0.012400[/C][C]Trim. Kurtosis (14/120)[/C]-0.567000[/C]0.254200[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.643300[/C]0.011000[/C][C]Trim. Kurtosis (15/120)[/C]-0.518800[/C]0.298400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.664000[/C]0.009600[/C][C]Trim. Kurtosis (16/120)[/C]-0.461300[/C]0.362800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.679300[/C]0.008800[/C][C]Trim. Kurtosis (17/120)[/C]-0.394600[/C]0.441200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.692200[/C]0.008200[/C][C]Trim. Kurtosis (18/120)[/C]-0.326000[/C]0.528600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.702800[/C]0.008000[/C][C]Trim. Kurtosis (19/120)[/C]-0.261900[/C]0.617000[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.720000[/C]0.007400[/C][C]Trim. Kurtosis (20/120)[/C]-0.180700[/C]0.733800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.739600[/C]0.006600[/C][C]Trim. Kurtosis (21/120)[/C]-0.088500[/C]0.865000[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.757500[/C]0.006000[/C][C]Trim. Kurtosis (22/120)[/C]0.010600[/C]0.984000[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.769600[/C]0.005800[/C][C]Trim. Kurtosis (23/120)[/C]0.107100[/C]0.841400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.774800[/C]0.006200[/C][C]Trim. Kurtosis (24/120)[/C]0.191100[/C]0.726400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.772100[/C]0.007000[/C][C]Trim. Kurtosis (25/120)[/C]0.255500[/C]0.645600[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.755500[/C]0.009400[/C][C]Trim. Kurtosis (26/120)[/C]0.273500[/C]0.631200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.707200[/C]0.016400[/C][C]Trim. Kurtosis (27/120)[/C]0.160500[/C]0.779400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.680900[/C]0.022600[/C][C]Trim. Kurtosis (28/120)[/C]0.125100[/C]0.825800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.620200[/C]0.040400[/C][C]Trim. Kurtosis (29/120)[/C]-0.031500[/C]0.952200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.533500[/C]0.083600[/C][C]Trim. Kurtosis (30/120)[/C]-0.206800[/C]0.733800[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.375900[/C]0.230200[/C][C]Trim. Kurtosis (31/120)[/C]-0.674000[/C]0.271400[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.385500[/C]0.226200[/C][C]Trim. Kurtosis (32/120)[/C]-0.619700[/C]0.322200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.384500[/C]0.234000[/C][C]Trim. Kurtosis (33/120)[/C]-0.591600[/C]0.352400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.382900[/C]0.246000[/C][C]Trim. Kurtosis (34/120)[/C]-0.553600[/C]0.389800[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.396400[/C]0.238000[/C][C]Trim. Kurtosis (35/120)[/C]-0.486900[/C]0.459200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.405200[/C]0.234000[/C][C]Trim. Kurtosis (36/120)[/C]-0.441400[/C]0.509200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.390100[/C]0.262800[/C][C]Trim. Kurtosis (37/120)[/C]-0.495300[/C]0.465400[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.321300[/C]0.368200[/C][C]Trim. Kurtosis (38/120)[/C]-0.650000[/C]0.352400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.305900[/C]0.400800[/C][C]Trim. Kurtosis (39/120)[/C]-0.664400[/C]0.352400[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.282800[/C]0.447200[/C][C]Trim. Kurtosis (40/120)[/C]-0.743200[/C]0.307800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103745&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103745&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)0.5004000.023200Trim. Kurtosis (0/120)-0.8493000.052400
Trim. Skewness (1/120)0.4845000.029200Trim. Kurtosis (1/120)-0.8964000.042400
Trim. Skewness (2/120)0.4858000.030000Trim. Kurtosis (2/120)-0.8965000.043400
Trim. Skewness (3/120)0.4888000.030800Trim. Kurtosis (3/120)-0.8968000.045600
Trim. Skewness (4/120)0.4939000.030000Trim. Kurtosis (4/120)-0.8816000.051200
Trim. Skewness (5/120)0.5006000.029200Trim. Kurtosis (5/120)-0.8654000.057400
Trim. Skewness (6/120)0.5100000.027800Trim. Kurtosis (6/120)-0.8440000.065800
Trim. Skewness (7/120)0.5234000.025000Trim. Kurtosis (7/120)-0.8127000.080200
Trim. Skewness (8/120)0.5396000.022600Trim. Kurtosis (8/120)-0.7778000.097000
Trim. Skewness (9/120)0.5559000.019800Trim. Kurtosis (9/120)-0.7439000.114200
Trim. Skewness (10/120)0.5718000.017800Trim. Kurtosis (10/120)-0.7096000.136200
Trim. Skewness (11/120)0.5870000.016000Trim. Kurtosis (11/120)-0.6726000.161600
Trim. Skewness (12/120)0.6036000.013800Trim. Kurtosis (12/120)-0.6370000.190200
Trim. Skewness (13/120)0.6179000.012800Trim. Kurtosis (13/120)-0.5993000.222400
Trim. Skewness (14/120)0.6266000.012400Trim. Kurtosis (14/120)-0.5670000.254200
Trim. Skewness (15/120)0.6433000.011000Trim. Kurtosis (15/120)-0.5188000.298400
Trim. Skewness (16/120)0.6640000.009600Trim. Kurtosis (16/120)-0.4613000.362800
Trim. Skewness (17/120)0.6793000.008800Trim. Kurtosis (17/120)-0.3946000.441200
Trim. Skewness (18/120)0.6922000.008200Trim. Kurtosis (18/120)-0.3260000.528600
Trim. Skewness (19/120)0.7028000.008000Trim. Kurtosis (19/120)-0.2619000.617000
Trim. Skewness (20/120)0.7200000.007400Trim. Kurtosis (20/120)-0.1807000.733800
Trim. Skewness (21/120)0.7396000.006600Trim. Kurtosis (21/120)-0.0885000.865000
Trim. Skewness (22/120)0.7575000.006000Trim. Kurtosis (22/120)0.0106000.984000
Trim. Skewness (23/120)0.7696000.005800Trim. Kurtosis (23/120)0.1071000.841400
Trim. Skewness (24/120)0.7748000.006200Trim. Kurtosis (24/120)0.1911000.726400
Trim. Skewness (25/120)0.7721000.007000Trim. Kurtosis (25/120)0.2555000.645600
Trim. Skewness (26/120)0.7555000.009400Trim. Kurtosis (26/120)0.2735000.631200
Trim. Skewness (27/120)0.7072000.016400Trim. Kurtosis (27/120)0.1605000.779400
Trim. Skewness (28/120)0.6809000.022600Trim. Kurtosis (28/120)0.1251000.825800
Trim. Skewness (29/120)0.6202000.040400Trim. Kurtosis (29/120)-0.0315000.952200
Trim. Skewness (30/120)0.5335000.083600Trim. Kurtosis (30/120)-0.2068000.733800
Trim. Skewness (31/120)0.3759000.230200Trim. Kurtosis (31/120)-0.6740000.271400
Trim. Skewness (32/120)0.3855000.226200Trim. Kurtosis (32/120)-0.6197000.322200
Trim. Skewness (33/120)0.3845000.234000Trim. Kurtosis (33/120)-0.5916000.352400
Trim. Skewness (34/120)0.3829000.246000Trim. Kurtosis (34/120)-0.5536000.389800
Trim. Skewness (35/120)0.3964000.238000Trim. Kurtosis (35/120)-0.4869000.459200
Trim. Skewness (36/120)0.4052000.234000Trim. Kurtosis (36/120)-0.4414000.509200
Trim. Skewness (37/120)0.3901000.262800Trim. Kurtosis (37/120)-0.4953000.465400
Trim. Skewness (38/120)0.3213000.368200Trim. Kurtosis (38/120)-0.6500000.352400
Trim. Skewness (39/120)0.3059000.400800Trim. Kurtosis (39/120)-0.6644000.352400
Trim. Skewness (40/120)0.2828000.447200Trim. Kurtosis (40/120)-0.7432000.307800


Figures (Output of Computation)

Input Parameters & R Code

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