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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 18:58:37 +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/t1291143402arctvfq37e2gih2.htm/, Retrieved Mon, 29 Apr 2024 15:48:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103752, Retrieved Mon, 29 Apr 2024 15:48:46 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact148

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 18:58:37] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13,42
13,51
13,75
13,87
13,49
13,44
13,30
13,33
13,35
13,29
13,88
13,70
13,99
14,15
14,68
15,24
14,60
14,31
14,40
14,46
14,30
14,38
14,50
14,29
14,21
14,27
13,81
14,08
14,04
14,12
14,16
14,10
14,11
14,12
14,07
13,84
13,66
13,39
13,37
13,23
13,15
12,97
12,87
13,00
12,76
12,87
12,64
12,38
12,42
12,44
12,41
12,34
12,24
11,88
11,80
11,72
11,83
11,66
11,55
11,68
11,67
11,60
11,73
11,57
11,61
11,55
11,59
11,54
11,50
11,60
11,64
11,46
11,20
11,14
10,86
11,31
11,32
11,23
11,18
11,18
11,07
11,32
10,97
11,03
10,99
10,74
10,52
10,45
10,43
10,06
10,60
10,32
10,39
10,90
10,58
10,38
10,48
10,52
10,92
10,96
10,60
10,47
10,47
9,92
10,03
10,12
10,56
10,47
10,95
10,79
10,72
10,85
10,77
10,78
10,78
10,50
10,46
10,46
9,86
10,07

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.901142FISHER 4th Cent. Mom.7.720508
FISHER beta 10.081129FISHER beta 21.662284
FISHER gamma 10.284831FISHER gamma 2-1.337716
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.273804FISHER Test 2-2.991224
FISHER Test 1 Probability0.200600FISHER Test 2 Probability0.002600
Pearson 20.962565
Yule using Quartile definition:Weighted Average at Xnp0.351852
Yule using Quartile definition:Weighted Average at X(n+1)p0.362963
Yule using Quartile definition:Empirical Distribution Function0.351852
Yule using Quartile definition:Empirical Distribution Function - Averaging0.369403
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.375940
Yule using Quartile definition:Closest Observation0.351852
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.375940
Yule using Quartile definition:MS Excel (old versions)0.356618
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.288450Kurtosis (small sample)-1.343457
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.305919TEST 1 (small sample)-3.064941
TEST 1 Prob. (small sample)0.190200TEST 1 Prob. (small sample)0.002200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.0.901142 & FISHER 4th Cent. Mom.7.720508 \tabularnewline FISHER beta 10.081129 & FISHER beta 21.662284 \tabularnewline FISHER gamma 10.284831 & FISHER gamma 2-1.337716 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 11.273804 & FISHER Test 2-2.991224 \tabularnewline FISHER Test 1 Probability0.200600 & FISHER Test 2 Probability0.002600 \tabularnewline Pearson 20.962565 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.351852 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.362963 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.351852 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.369403 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.375940 & & \tabularnewline Yule using Quartile definition:Closest Observation0.351852 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.375940 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.356618 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.288450 & Kurtosis (small sample)-1.343457 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)1.305919 & TEST 1 (small sample)-3.064941 \tabularnewline TEST 1 Prob. (small sample)0.190200 & TEST 1 Prob. (small sample)0.002200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103752&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]0.901142[/C][C]FISHER 4th Cent. Mom.[/C]7.720508[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.081129[/C][C]FISHER beta 2[/C]1.662284[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.284831[/C][C]FISHER gamma 2[/C]-1.337716[/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]1.273804[/C][C]FISHER Test 2[/C]-2.991224[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.200600[/C][C]FISHER Test 2 Probability[/C]0.002600[/C][/ROW] [ROW][C]Pearson 2[/C]0.962565[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.351852[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.362963[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.351852[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.369403[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.375940[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.351852[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.375940[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.356618[/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]0.288450[/C][C]Kurtosis (small sample)[/C]-1.343457[/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]1.305919[/C][C]TEST 1 (small sample)[/C]-3.064941[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.190200[/C][C]TEST 1 Prob. (small sample)[/C]0.002200[/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=103752&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103752&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.0.901142FISHER 4th Cent. Mom.7.720508
FISHER beta 10.081129FISHER beta 21.662284
FISHER gamma 10.284831FISHER gamma 2-1.337716
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.273804FISHER Test 2-2.991224
FISHER Test 1 Probability0.200600FISHER Test 2 Probability0.002600
Pearson 20.962565
Yule using Quartile definition:Weighted Average at Xnp0.351852
Yule using Quartile definition:Weighted Average at X(n+1)p0.362963
Yule using Quartile definition:Empirical Distribution Function0.351852
Yule using Quartile definition:Empirical Distribution Function - Averaging0.369403
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.375940
Yule using Quartile definition:Closest Observation0.351852
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.375940
Yule using Quartile definition:MS Excel (old versions)0.356618
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.288450Kurtosis (small sample)-1.343457
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.305919TEST 1 (small sample)-3.064941
TEST 1 Prob. (small sample)0.190200TEST 1 Prob. (small sample)0.002200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.2884000.190200Trim. Kurtosis (0/120)-1.3435000.002200
Trim. Skewness (1/120)0.2752000.215000Trim. Kurtosis (1/120)-1.4011000.001400
Trim. Skewness (2/120)0.2818000.207600Trim. Kurtosis (2/120)-1.4099000.001600
Trim. Skewness (3/120)0.2874000.204000Trim. Kurtosis (3/120)-1.4141000.001600
Trim. Skewness (4/120)0.2953000.193600Trim. Kurtosis (4/120)-1.4147000.001800
Trim. Skewness (5/120)0.3045000.183600Trim. Kurtosis (5/120)-1.4156000.002000
Trim. Skewness (6/120)0.3144000.173800Trim. Kurtosis (6/120)-1.4143000.002200
Trim. Skewness (7/120)0.3190000.173800Trim. Kurtosis (7/120)-1.4087000.002400
Trim. Skewness (8/120)0.3239000.170600Trim. Kurtosis (8/120)-1.3996000.002800
Trim. Skewness (9/120)0.3287000.167600Trim. Kurtosis (9/120)-1.3909000.003200
Trim. Skewness (10/120)0.3326000.167600Trim. Kurtosis (10/120)-1.3824000.003800
Trim. Skewness (11/120)0.3361000.167600Trim. Kurtosis (11/120)-1.3738000.004400
Trim. Skewness (12/120)0.3411000.164600Trim. Kurtosis (12/120)-1.3627000.005200
Trim. Skewness (13/120)0.3476000.161600Trim. Kurtosis (13/120)-1.3495000.006200
Trim. Skewness (14/120)0.3541000.158600Trim. Kurtosis (14/120)-1.3365000.007200
Trim. Skewness (15/120)0.3617000.152800Trim. Kurtosis (15/120)-1.3227000.008600
Trim. Skewness (16/120)0.3693000.149800Trim. Kurtosis (16/120)-1.3105000.009800
Trim. Skewness (17/120)0.3768000.144200Trim. Kurtosis (17/120)-1.2997000.011400
Trim. Skewness (18/120)0.3836000.141600Trim. Kurtosis (18/120)-1.2907000.012800
Trim. Skewness (19/120)0.3901000.141600Trim. Kurtosis (19/120)-1.2832000.014200
Trim. Skewness (20/120)0.3964000.138800Trim. Kurtosis (20/120)-1.2801000.016000
Trim. Skewness (21/120)0.4014000.138800Trim. Kurtosis (21/120)-1.2788000.017400
Trim. Skewness (22/120)0.4073000.138800Trim. Kurtosis (22/120)-1.2773000.018800
Trim. Skewness (23/120)0.4186000.133600Trim. Kurtosis (23/120)-1.2659000.021400
Trim. Skewness (24/120)0.4306000.126000Trim. Kurtosis (24/120)-1.2594000.023800
Trim. Skewness (25/120)0.4363000.126000Trim. Kurtosis (25/120)-1.2511000.027200
Trim. Skewness (26/120)0.4413000.128600Trim. Kurtosis (26/120)-1.2452000.030000
Trim. Skewness (27/120)0.4473000.128600Trim. Kurtosis (27/120)-1.2358000.033200
Trim. Skewness (28/120)0.4551000.126000Trim. Kurtosis (28/120)-1.2250000.037600
Trim. Skewness (29/120)0.4648000.126000Trim. Kurtosis (29/120)-1.2157000.042400
Trim. Skewness (30/120)0.4868000.114200Trim. Kurtosis (30/120)-1.1834000.051200
Trim. Skewness (31/120)0.5064000.105200Trim. Kurtosis (31/120)-1.1471000.062800
Trim. Skewness (32/120)0.5309000.095000Trim. Kurtosis (32/120)-1.1026000.078400
Trim. Skewness (33/120)0.5549000.087200Trim. Kurtosis (33/120)-1.0530000.099000
Trim. Skewness (34/120)0.5814000.078400Trim. Kurtosis (34/120)-0.9964000.123600
Trim. Skewness (35/120)0.6079000.070200Trim. Kurtosis (35/120)-0.9347000.155600
Trim. Skewness (36/120)0.6366000.062800Trim. Kurtosis (36/120)-0.8697000.197000
Trim. Skewness (37/120)0.6673000.056200Trim. Kurtosis (37/120)-0.8052000.238000
Trim. Skewness (38/120)0.6994000.050000Trim. Kurtosis (38/120)-0.7428000.289200
Trim. Skewness (39/120)0.7208000.047800Trim. Kurtosis (39/120)-0.7116000.317400
Trim. Skewness (40/120)0.7382000.047800Trim. Kurtosis (40/120)-0.6976000.337000

\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)0.2884000.190200 & Trim. Kurtosis (0/120)-1.3435000.002200 \tabularnewline Trim. Skewness (1/120)0.2752000.215000 & Trim. Kurtosis (1/120)-1.4011000.001400 \tabularnewline Trim. Skewness (2/120)0.2818000.207600 & Trim. Kurtosis (2/120)-1.4099000.001600 \tabularnewline Trim. Skewness (3/120)0.2874000.204000 & Trim. Kurtosis (3/120)-1.4141000.001600 \tabularnewline Trim. Skewness (4/120)0.2953000.193600 & Trim. Kurtosis (4/120)-1.4147000.001800 \tabularnewline Trim. Skewness (5/120)0.3045000.183600 & Trim. Kurtosis (5/120)-1.4156000.002000 \tabularnewline Trim. Skewness (6/120)0.3144000.173800 & Trim. Kurtosis (6/120)-1.4143000.002200 \tabularnewline Trim. Skewness (7/120)0.3190000.173800 & Trim. Kurtosis (7/120)-1.4087000.002400 \tabularnewline Trim. Skewness (8/120)0.3239000.170600 & Trim. Kurtosis (8/120)-1.3996000.002800 \tabularnewline Trim. Skewness (9/120)0.3287000.167600 & Trim. Kurtosis (9/120)-1.3909000.003200 \tabularnewline Trim. Skewness (10/120)0.3326000.167600 & Trim. Kurtosis (10/120)-1.3824000.003800 \tabularnewline Trim. Skewness (11/120)0.3361000.167600 & Trim. Kurtosis (11/120)-1.3738000.004400 \tabularnewline Trim. Skewness (12/120)0.3411000.164600 & Trim. Kurtosis (12/120)-1.3627000.005200 \tabularnewline Trim. Skewness (13/120)0.3476000.161600 & Trim. Kurtosis (13/120)-1.3495000.006200 \tabularnewline Trim. Skewness (14/120)0.3541000.158600 & Trim. Kurtosis (14/120)-1.3365000.007200 \tabularnewline Trim. Skewness (15/120)0.3617000.152800 & Trim. Kurtosis (15/120)-1.3227000.008600 \tabularnewline Trim. Skewness (16/120)0.3693000.149800 & Trim. Kurtosis (16/120)-1.3105000.009800 \tabularnewline Trim. Skewness (17/120)0.3768000.144200 & Trim. Kurtosis (17/120)-1.2997000.011400 \tabularnewline Trim. Skewness (18/120)0.3836000.141600 & Trim. Kurtosis (18/120)-1.2907000.012800 \tabularnewline Trim. Skewness (19/120)0.3901000.141600 & Trim. Kurtosis (19/120)-1.2832000.014200 \tabularnewline Trim. Skewness (20/120)0.3964000.138800 & Trim. Kurtosis (20/120)-1.2801000.016000 \tabularnewline Trim. Skewness (21/120)0.4014000.138800 & Trim. Kurtosis (21/120)-1.2788000.017400 \tabularnewline Trim. Skewness (22/120)0.4073000.138800 & Trim. Kurtosis (22/120)-1.2773000.018800 \tabularnewline Trim. Skewness (23/120)0.4186000.133600 & Trim. Kurtosis (23/120)-1.2659000.021400 \tabularnewline Trim. Skewness (24/120)0.4306000.126000 & Trim. Kurtosis (24/120)-1.2594000.023800 \tabularnewline Trim. Skewness (25/120)0.4363000.126000 & Trim. Kurtosis (25/120)-1.2511000.027200 \tabularnewline Trim. Skewness (26/120)0.4413000.128600 & Trim. Kurtosis (26/120)-1.2452000.030000 \tabularnewline Trim. Skewness (27/120)0.4473000.128600 & Trim. Kurtosis (27/120)-1.2358000.033200 \tabularnewline Trim. Skewness (28/120)0.4551000.126000 & Trim. Kurtosis (28/120)-1.2250000.037600 \tabularnewline Trim. Skewness (29/120)0.4648000.126000 & Trim. Kurtosis (29/120)-1.2157000.042400 \tabularnewline Trim. Skewness (30/120)0.4868000.114200 & Trim. Kurtosis (30/120)-1.1834000.051200 \tabularnewline Trim. Skewness (31/120)0.5064000.105200 & Trim. Kurtosis (31/120)-1.1471000.062800 \tabularnewline Trim. Skewness (32/120)0.5309000.095000 & Trim. Kurtosis (32/120)-1.1026000.078400 \tabularnewline Trim. Skewness (33/120)0.5549000.087200 & Trim. Kurtosis (33/120)-1.0530000.099000 \tabularnewline Trim. Skewness (34/120)0.5814000.078400 & Trim. Kurtosis (34/120)-0.9964000.123600 \tabularnewline Trim. Skewness (35/120)0.6079000.070200 & Trim. Kurtosis (35/120)-0.9347000.155600 \tabularnewline Trim. Skewness (36/120)0.6366000.062800 & Trim. Kurtosis (36/120)-0.8697000.197000 \tabularnewline Trim. Skewness (37/120)0.6673000.056200 & Trim. Kurtosis (37/120)-0.8052000.238000 \tabularnewline Trim. Skewness (38/120)0.6994000.050000 & Trim. Kurtosis (38/120)-0.7428000.289200 \tabularnewline Trim. Skewness (39/120)0.7208000.047800 & Trim. Kurtosis (39/120)-0.7116000.317400 \tabularnewline Trim. Skewness (40/120)0.7382000.047800 & Trim. Kurtosis (40/120)-0.6976000.337000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103752&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]0.288400[/C]0.190200[/C][C]Trim. Kurtosis (0/120)[/C]-1.343500[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.275200[/C]0.215000[/C][C]Trim. Kurtosis (1/120)[/C]-1.401100[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.281800[/C]0.207600[/C][C]Trim. Kurtosis (2/120)[/C]-1.409900[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.287400[/C]0.204000[/C][C]Trim. Kurtosis (3/120)[/C]-1.414100[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.295300[/C]0.193600[/C][C]Trim. Kurtosis (4/120)[/C]-1.414700[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.304500[/C]0.183600[/C][C]Trim. Kurtosis (5/120)[/C]-1.415600[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.314400[/C]0.173800[/C][C]Trim. Kurtosis (6/120)[/C]-1.414300[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.319000[/C]0.173800[/C][C]Trim. Kurtosis (7/120)[/C]-1.408700[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.323900[/C]0.170600[/C][C]Trim. Kurtosis (8/120)[/C]-1.399600[/C]0.002800[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.328700[/C]0.167600[/C][C]Trim. Kurtosis (9/120)[/C]-1.390900[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.332600[/C]0.167600[/C][C]Trim. Kurtosis (10/120)[/C]-1.382400[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.336100[/C]0.167600[/C][C]Trim. Kurtosis (11/120)[/C]-1.373800[/C]0.004400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.341100[/C]0.164600[/C][C]Trim. Kurtosis (12/120)[/C]-1.362700[/C]0.005200[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.347600[/C]0.161600[/C][C]Trim. Kurtosis (13/120)[/C]-1.349500[/C]0.006200[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.354100[/C]0.158600[/C][C]Trim. Kurtosis (14/120)[/C]-1.336500[/C]0.007200[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.361700[/C]0.152800[/C][C]Trim. Kurtosis (15/120)[/C]-1.322700[/C]0.008600[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.369300[/C]0.149800[/C][C]Trim. Kurtosis (16/120)[/C]-1.310500[/C]0.009800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.376800[/C]0.144200[/C][C]Trim. Kurtosis (17/120)[/C]-1.299700[/C]0.011400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.383600[/C]0.141600[/C][C]Trim. Kurtosis (18/120)[/C]-1.290700[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.390100[/C]0.141600[/C][C]Trim. Kurtosis (19/120)[/C]-1.283200[/C]0.014200[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.396400[/C]0.138800[/C][C]Trim. Kurtosis (20/120)[/C]-1.280100[/C]0.016000[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.401400[/C]0.138800[/C][C]Trim. Kurtosis (21/120)[/C]-1.278800[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.407300[/C]0.138800[/C][C]Trim. Kurtosis (22/120)[/C]-1.277300[/C]0.018800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.418600[/C]0.133600[/C][C]Trim. Kurtosis (23/120)[/C]-1.265900[/C]0.021400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.430600[/C]0.126000[/C][C]Trim. Kurtosis (24/120)[/C]-1.259400[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.436300[/C]0.126000[/C][C]Trim. Kurtosis (25/120)[/C]-1.251100[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.441300[/C]0.128600[/C][C]Trim. Kurtosis (26/120)[/C]-1.245200[/C]0.030000[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.447300[/C]0.128600[/C][C]Trim. Kurtosis (27/120)[/C]-1.235800[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.455100[/C]0.126000[/C][C]Trim. Kurtosis (28/120)[/C]-1.225000[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.464800[/C]0.126000[/C][C]Trim. Kurtosis (29/120)[/C]-1.215700[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.486800[/C]0.114200[/C][C]Trim. Kurtosis (30/120)[/C]-1.183400[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.506400[/C]0.105200[/C][C]Trim. Kurtosis (31/120)[/C]-1.147100[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.530900[/C]0.095000[/C][C]Trim. Kurtosis (32/120)[/C]-1.102600[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.554900[/C]0.087200[/C][C]Trim. Kurtosis (33/120)[/C]-1.053000[/C]0.099000[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.581400[/C]0.078400[/C][C]Trim. Kurtosis (34/120)[/C]-0.996400[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.607900[/C]0.070200[/C][C]Trim. Kurtosis (35/120)[/C]-0.934700[/C]0.155600[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.636600[/C]0.062800[/C][C]Trim. Kurtosis (36/120)[/C]-0.869700[/C]0.197000[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.667300[/C]0.056200[/C][C]Trim. Kurtosis (37/120)[/C]-0.805200[/C]0.238000[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.699400[/C]0.050000[/C][C]Trim. Kurtosis (38/120)[/C]-0.742800[/C]0.289200[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.720800[/C]0.047800[/C][C]Trim. Kurtosis (39/120)[/C]-0.711600[/C]0.317400[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.738200[/C]0.047800[/C][C]Trim. Kurtosis (40/120)[/C]-0.697600[/C]0.337000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103752&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103752&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)0.2884000.190200Trim. Kurtosis (0/120)-1.3435000.002200
Trim. Skewness (1/120)0.2752000.215000Trim. Kurtosis (1/120)-1.4011000.001400
Trim. Skewness (2/120)0.2818000.207600Trim. Kurtosis (2/120)-1.4099000.001600
Trim. Skewness (3/120)0.2874000.204000Trim. Kurtosis (3/120)-1.4141000.001600
Trim. Skewness (4/120)0.2953000.193600Trim. Kurtosis (4/120)-1.4147000.001800
Trim. Skewness (5/120)0.3045000.183600Trim. Kurtosis (5/120)-1.4156000.002000
Trim. Skewness (6/120)0.3144000.173800Trim. Kurtosis (6/120)-1.4143000.002200
Trim. Skewness (7/120)0.3190000.173800Trim. Kurtosis (7/120)-1.4087000.002400
Trim. Skewness (8/120)0.3239000.170600Trim. Kurtosis (8/120)-1.3996000.002800
Trim. Skewness (9/120)0.3287000.167600Trim. Kurtosis (9/120)-1.3909000.003200
Trim. Skewness (10/120)0.3326000.167600Trim. Kurtosis (10/120)-1.3824000.003800
Trim. Skewness (11/120)0.3361000.167600Trim. Kurtosis (11/120)-1.3738000.004400
Trim. Skewness (12/120)0.3411000.164600Trim. Kurtosis (12/120)-1.3627000.005200
Trim. Skewness (13/120)0.3476000.161600Trim. Kurtosis (13/120)-1.3495000.006200
Trim. Skewness (14/120)0.3541000.158600Trim. Kurtosis (14/120)-1.3365000.007200
Trim. Skewness (15/120)0.3617000.152800Trim. Kurtosis (15/120)-1.3227000.008600
Trim. Skewness (16/120)0.3693000.149800Trim. Kurtosis (16/120)-1.3105000.009800
Trim. Skewness (17/120)0.3768000.144200Trim. Kurtosis (17/120)-1.2997000.011400
Trim. Skewness (18/120)0.3836000.141600Trim. Kurtosis (18/120)-1.2907000.012800
Trim. Skewness (19/120)0.3901000.141600Trim. Kurtosis (19/120)-1.2832000.014200
Trim. Skewness (20/120)0.3964000.138800Trim. Kurtosis (20/120)-1.2801000.016000
Trim. Skewness (21/120)0.4014000.138800Trim. Kurtosis (21/120)-1.2788000.017400
Trim. Skewness (22/120)0.4073000.138800Trim. Kurtosis (22/120)-1.2773000.018800
Trim. Skewness (23/120)0.4186000.133600Trim. Kurtosis (23/120)-1.2659000.021400
Trim. Skewness (24/120)0.4306000.126000Trim. Kurtosis (24/120)-1.2594000.023800
Trim. Skewness (25/120)0.4363000.126000Trim. Kurtosis (25/120)-1.2511000.027200
Trim. Skewness (26/120)0.4413000.128600Trim. Kurtosis (26/120)-1.2452000.030000
Trim. Skewness (27/120)0.4473000.128600Trim. Kurtosis (27/120)-1.2358000.033200
Trim. Skewness (28/120)0.4551000.126000Trim. Kurtosis (28/120)-1.2250000.037600
Trim. Skewness (29/120)0.4648000.126000Trim. Kurtosis (29/120)-1.2157000.042400
Trim. Skewness (30/120)0.4868000.114200Trim. Kurtosis (30/120)-1.1834000.051200
Trim. Skewness (31/120)0.5064000.105200Trim. Kurtosis (31/120)-1.1471000.062800
Trim. Skewness (32/120)0.5309000.095000Trim. Kurtosis (32/120)-1.1026000.078400
Trim. Skewness (33/120)0.5549000.087200Trim. Kurtosis (33/120)-1.0530000.099000
Trim. Skewness (34/120)0.5814000.078400Trim. Kurtosis (34/120)-0.9964000.123600
Trim. Skewness (35/120)0.6079000.070200Trim. Kurtosis (35/120)-0.9347000.155600
Trim. Skewness (36/120)0.6366000.062800Trim. Kurtosis (36/120)-0.8697000.197000
Trim. Skewness (37/120)0.6673000.056200Trim. Kurtosis (37/120)-0.8052000.238000
Trim. Skewness (38/120)0.6994000.050000Trim. Kurtosis (38/120)-0.7428000.289200
Trim. Skewness (39/120)0.7208000.047800Trim. Kurtosis (39/120)-0.7116000.317400
Trim. Skewness (40/120)0.7382000.047800Trim. Kurtosis (40/120)-0.6976000.337000


Figures (Output of Computation)

Input Parameters & R Code

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