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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 18:35:50 +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/t1291142029bolt4k7dapg9g48.htm/, Retrieved Mon, 29 Apr 2024 12:57:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103721, Retrieved Mon, 29 Apr 2024 12:57:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact140

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 18:35:50] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
150,2501878
149,3698858
147,0710637
150,2944892
149,3534311
152,4335704
148,1964109
152,0114861
150,1018735
149,7575293
151,5404984
151,5882763
148,9700319
151,2971753
150,8187398
151,6652143
149,7578415
150,4208419
149,8908592
146,6750171
151,4345221
150,5063619
151,2516655
147,9064308
148,5219432
150,839427
149,517494
147,422224
150,4558386
150,8056075
148,8761653
146,1778011
150,6985886
150,6355003
145,4215868
152,4438882
150,7376474
149,2432234
146,4757052
149,388842
151,9020103
149,4874866
151,3878398
149,8187299
154,0545585
152,8446881
150,3916354
148,4739249
150,659842
147,0317854
151,4322593
150,732864
151,1285024
147,1062069
152,6360774
151,6402108
147,887431
149,3895469
151,4639405
150,1105885
151,6211911
147,8455445
150,5838472
153,1390162
152,9513337
153,3148242
149,9998842
148,9559235
147,9506367
152,6637935
147,345126
146,0032251
147,7342935
152,2279122
151,0335832
151,5869513
147,9144977
149,5460711
149,5963009
148,9106911
148,4768396
150,5987915
153,0454752
152,8850657
147,4609039
150,0223843
150,2974769
150,6828169
147,8464384
149,5703415
150,1671891
151,3672598
150,7827025
152,5691819
148,2028874
153,356456
151,7097838
152,1530928
148,3049308
149,7195859
146,3869513
149,2964265
151,0218631
147,9624514
147,9864581
150,6209969
150,5099744
142,9327104
151,7586024
148,8463909
153,6466978
150,5516666
146,7670376
152,1570489
154,3913633
147,0180554
148,7780632
152,2785241
153,416036
150,7722167

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-3.707501FISHER 4th Cent. Mom.56.238817
FISHER beta 10.185204FISHER beta 23.184407
FISHER gamma 1-0.430354FISHER gamma 20.184407
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.924600FISHER Test 20.412347
FISHER Test 1 Probability0.053600FISHER Test 2 Probability0.674400
Pearson 2-0.416523
Yule using Quartile definition:Weighted Average at Xnp-0.239031
Yule using Quartile definition:Weighted Average at X(n+1)p-0.198195
Yule using Quartile definition:Empirical Distribution Function-0.239031
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.188236
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.177678
Yule using Quartile definition:Closest Observation-0.239031
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.177678
Yule using Quartile definition:MS Excel (old versions)-0.207606
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.435821Kurtosis (small sample)0.244045
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.973123TEST 1 (small sample)0.556760
TEST 1 Prob. (small sample)0.047800TEST 1 Prob. (small sample)0.575400
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-3.707501 & FISHER 4th Cent. Mom.56.238817 \tabularnewline FISHER beta 10.185204 & FISHER beta 23.184407 \tabularnewline FISHER gamma 1-0.430354 & FISHER gamma 20.184407 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-1.924600 & FISHER Test 20.412347 \tabularnewline FISHER Test 1 Probability0.053600 & FISHER Test 2 Probability0.674400 \tabularnewline Pearson 2-0.416523 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.239031 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.198195 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.239031 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.188236 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.177678 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.239031 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.177678 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.207606 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.435821 & Kurtosis (small sample)0.244045 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-1.973123 & TEST 1 (small sample)0.556760 \tabularnewline TEST 1 Prob. (small sample)0.047800 & TEST 1 Prob. (small sample)0.575400 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103721&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]-3.707501[/C][C]FISHER 4th Cent. Mom.[/C]56.238817[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.185204[/C][C]FISHER beta 2[/C]3.184407[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.430354[/C][C]FISHER gamma 2[/C]0.184407[/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]-1.924600[/C][C]FISHER Test 2[/C]0.412347[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.053600[/C][C]FISHER Test 2 Probability[/C]0.674400[/C][/ROW] [ROW][C]Pearson 2[/C]-0.416523[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.239031[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.198195[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.239031[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.188236[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.177678[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.239031[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.177678[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.207606[/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]-0.435821[/C][C]Kurtosis (small sample)[/C]0.244045[/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]-1.973123[/C][C]TEST 1 (small sample)[/C]0.556760[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.047800[/C][C]TEST 1 Prob. (small sample)[/C]0.575400[/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=103721&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103721&T=0

As an alternative you can also use a QR Code:  
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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.-3.707501FISHER 4th Cent. Mom.56.238817
FISHER beta 10.185204FISHER beta 23.184407
FISHER gamma 1-0.430354FISHER gamma 20.184407
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.924600FISHER Test 20.412347
FISHER Test 1 Probability0.053600FISHER Test 2 Probability0.674400
Pearson 2-0.416523
Yule using Quartile definition:Weighted Average at Xnp-0.239031
Yule using Quartile definition:Weighted Average at X(n+1)p-0.198195
Yule using Quartile definition:Empirical Distribution Function-0.239031
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.188236
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.177678
Yule using Quartile definition:Closest Observation-0.239031
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.177678
Yule using Quartile definition:MS Excel (old versions)-0.207606
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.435821Kurtosis (small sample)0.244045
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.973123TEST 1 (small sample)0.556760
TEST 1 Prob. (small sample)0.047800TEST 1 Prob. (small sample)0.575400
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.4358000.047800Trim. Kurtosis (0/120)0.2440000.575400
Trim. Skewness (1/120)-0.2370000.284600Trim. Kurtosis (1/120)-0.5790000.186800
Trim. Skewness (2/120)-0.2257000.312400Trim. Kurtosis (2/120)-0.6853000.123600
Trim. Skewness (3/120)-0.2235000.322200Trim. Kurtosis (3/120)-0.7195000.107400
Trim. Skewness (4/120)-0.2173000.337000Trim. Kurtosis (4/120)-0.7440000.099000
Trim. Skewness (5/120)-0.2170000.342200Trim. Kurtosis (5/120)-0.7624000.095000
Trim. Skewness (6/120)-0.2180000.347200Trim. Kurtosis (6/120)-0.7898000.085400
Trim. Skewness (7/120)-0.2195000.347200Trim. Kurtosis (7/120)-0.8034000.083600
Trim. Skewness (8/120)-0.2201000.352400Trim. Kurtosis (8/120)-0.8190000.080200
Trim. Skewness (9/120)-0.2287000.337000Trim. Kurtosis (9/120)-0.8176000.083600
Trim. Skewness (10/120)-0.2347000.327000Trim. Kurtosis (10/120)-0.8247000.083600
Trim. Skewness (11/120)-0.2405000.322200Trim. Kurtosis (11/120)-0.8428000.080200
Trim. Skewness (12/120)-0.2361000.337000Trim. Kurtosis (12/120)-0.8647000.075000
Trim. Skewness (13/120)-0.2443000.322200Trim. Kurtosis (13/120)-0.8713000.076800
Trim. Skewness (14/120)-0.2533000.312400Trim. Kurtosis (14/120)-0.8800000.076800
Trim. Skewness (15/120)-0.2561000.312400Trim. Kurtosis (15/120)-0.8920000.075000
Trim. Skewness (16/120)-0.2773000.280200Trim. Kurtosis (16/120)-0.8837000.081800
Trim. Skewness (17/120)-0.2964000.250200Trim. Kurtosis (17/120)-0.8600000.093000
Trim. Skewness (18/120)-0.3144000.230200Trim. Kurtosis (18/120)-0.8398000.105200
Trim. Skewness (19/120)-0.3318000.211200Trim. Kurtosis (19/120)-0.8183000.118800
Trim. Skewness (20/120)-0.3528000.186800Trim. Kurtosis (20/120)-0.8062000.128600
Trim. Skewness (21/120)-0.3626000.180200Trim. Kurtosis (21/120)-0.7963000.138800
Trim. Skewness (22/120)-0.3643000.183600Trim. Kurtosis (22/120)-0.7899000.147000
Trim. Skewness (23/120)-0.3491000.207600Trim. Kurtosis (23/120)-0.7965000.147000
Trim. Skewness (24/120)-0.3223000.254200Trim. Kurtosis (24/120)-0.8282000.136200
Trim. Skewness (25/120)-0.3093000.280200Trim. Kurtosis (25/120)-0.8225000.144200
Trim. Skewness (26/120)-0.2849000.327000Trim. Kurtosis (26/120)-0.8444000.138800
Trim. Skewness (27/120)-0.2624000.373400Trim. Kurtosis (27/120)-0.8671000.136200
Trim. Skewness (28/120)-0.2533000.395400Trim. Kurtosis (28/120)-0.8611000.144200
Trim. Skewness (29/120)-0.2361000.435400Trim. Kurtosis (29/120)-0.8913000.136200
Trim. Skewness (30/120)-0.2079000.496400Trim. Kurtosis (30/120)-0.9536000.116400
Trim. Skewness (31/120)-0.2085000.502800Trim. Kurtosis (31/120)-0.9405000.126000
Trim. Skewness (32/120)-0.2140000.496400Trim. Kurtosis (32/120)-0.9240000.138800
Trim. Skewness (33/120)-0.2240000.484000Trim. Kurtosis (33/120)-0.9281000.144200
Trim. Skewness (34/120)-0.2310000.484000Trim. Kurtosis (34/120)-0.9539000.141600
Trim. Skewness (35/120)-0.2432000.465400Trim. Kurtosis (35/120)-1.0214000.121200
Trim. Skewness (36/120)-0.2332000.496400Trim. Kurtosis (36/120)-1.1698000.081800
Trim. Skewness (37/120)-0.2927000.400800Trim. Kurtosis (37/120)-1.2179000.075000
Trim. Skewness (38/120)-0.3399000.337000Trim. Kurtosis (38/120)-1.2333000.078400
Trim. Skewness (39/120)-0.3819000.293800Trim. Kurtosis (39/120)-1.2191000.087200
Trim. Skewness (40/120)-0.4370000.242000Trim. Kurtosis (40/120)-1.2240000.093000

\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)-0.4358000.047800 & Trim. Kurtosis (0/120)0.2440000.575400 \tabularnewline Trim. Skewness (1/120)-0.2370000.284600 & Trim. Kurtosis (1/120)-0.5790000.186800 \tabularnewline Trim. Skewness (2/120)-0.2257000.312400 & Trim. Kurtosis (2/120)-0.6853000.123600 \tabularnewline Trim. Skewness (3/120)-0.2235000.322200 & Trim. Kurtosis (3/120)-0.7195000.107400 \tabularnewline Trim. Skewness (4/120)-0.2173000.337000 & Trim. Kurtosis (4/120)-0.7440000.099000 \tabularnewline Trim. Skewness (5/120)-0.2170000.342200 & Trim. Kurtosis (5/120)-0.7624000.095000 \tabularnewline Trim. Skewness (6/120)-0.2180000.347200 & Trim. Kurtosis (6/120)-0.7898000.085400 \tabularnewline Trim. Skewness (7/120)-0.2195000.347200 & Trim. Kurtosis (7/120)-0.8034000.083600 \tabularnewline Trim. Skewness (8/120)-0.2201000.352400 & Trim. Kurtosis (8/120)-0.8190000.080200 \tabularnewline Trim. Skewness (9/120)-0.2287000.337000 & Trim. Kurtosis (9/120)-0.8176000.083600 \tabularnewline Trim. Skewness (10/120)-0.2347000.327000 & Trim. Kurtosis (10/120)-0.8247000.083600 \tabularnewline Trim. Skewness (11/120)-0.2405000.322200 & Trim. Kurtosis (11/120)-0.8428000.080200 \tabularnewline Trim. Skewness (12/120)-0.2361000.337000 & Trim. Kurtosis (12/120)-0.8647000.075000 \tabularnewline Trim. Skewness (13/120)-0.2443000.322200 & Trim. Kurtosis (13/120)-0.8713000.076800 \tabularnewline Trim. Skewness (14/120)-0.2533000.312400 & Trim. Kurtosis (14/120)-0.8800000.076800 \tabularnewline Trim. Skewness (15/120)-0.2561000.312400 & Trim. Kurtosis (15/120)-0.8920000.075000 \tabularnewline Trim. Skewness (16/120)-0.2773000.280200 & Trim. Kurtosis (16/120)-0.8837000.081800 \tabularnewline Trim. Skewness (17/120)-0.2964000.250200 & Trim. Kurtosis (17/120)-0.8600000.093000 \tabularnewline Trim. Skewness (18/120)-0.3144000.230200 & Trim. Kurtosis (18/120)-0.8398000.105200 \tabularnewline Trim. Skewness (19/120)-0.3318000.211200 & Trim. Kurtosis (19/120)-0.8183000.118800 \tabularnewline Trim. Skewness (20/120)-0.3528000.186800 & Trim. Kurtosis (20/120)-0.8062000.128600 \tabularnewline Trim. Skewness (21/120)-0.3626000.180200 & Trim. Kurtosis (21/120)-0.7963000.138800 \tabularnewline Trim. Skewness (22/120)-0.3643000.183600 & Trim. Kurtosis (22/120)-0.7899000.147000 \tabularnewline Trim. Skewness (23/120)-0.3491000.207600 & Trim. Kurtosis (23/120)-0.7965000.147000 \tabularnewline Trim. Skewness (24/120)-0.3223000.254200 & Trim. Kurtosis (24/120)-0.8282000.136200 \tabularnewline Trim. Skewness (25/120)-0.3093000.280200 & Trim. Kurtosis (25/120)-0.8225000.144200 \tabularnewline Trim. Skewness (26/120)-0.2849000.327000 & Trim. Kurtosis (26/120)-0.8444000.138800 \tabularnewline Trim. Skewness (27/120)-0.2624000.373400 & Trim. Kurtosis (27/120)-0.8671000.136200 \tabularnewline Trim. Skewness (28/120)-0.2533000.395400 & Trim. Kurtosis (28/120)-0.8611000.144200 \tabularnewline Trim. Skewness (29/120)-0.2361000.435400 & Trim. Kurtosis (29/120)-0.8913000.136200 \tabularnewline Trim. Skewness (30/120)-0.2079000.496400 & Trim. Kurtosis (30/120)-0.9536000.116400 \tabularnewline Trim. Skewness (31/120)-0.2085000.502800 & Trim. Kurtosis (31/120)-0.9405000.126000 \tabularnewline Trim. Skewness (32/120)-0.2140000.496400 & Trim. Kurtosis (32/120)-0.9240000.138800 \tabularnewline Trim. Skewness (33/120)-0.2240000.484000 & Trim. Kurtosis (33/120)-0.9281000.144200 \tabularnewline Trim. Skewness (34/120)-0.2310000.484000 & Trim. Kurtosis (34/120)-0.9539000.141600 \tabularnewline Trim. Skewness (35/120)-0.2432000.465400 & Trim. Kurtosis (35/120)-1.0214000.121200 \tabularnewline Trim. Skewness (36/120)-0.2332000.496400 & Trim. Kurtosis (36/120)-1.1698000.081800 \tabularnewline Trim. Skewness (37/120)-0.2927000.400800 & Trim. Kurtosis (37/120)-1.2179000.075000 \tabularnewline Trim. Skewness (38/120)-0.3399000.337000 & Trim. Kurtosis (38/120)-1.2333000.078400 \tabularnewline Trim. Skewness (39/120)-0.3819000.293800 & Trim. Kurtosis (39/120)-1.2191000.087200 \tabularnewline Trim. Skewness (40/120)-0.4370000.242000 & Trim. Kurtosis (40/120)-1.2240000.093000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103721&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]-0.435800[/C]0.047800[/C][C]Trim. Kurtosis (0/120)[/C]0.244000[/C]0.575400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.237000[/C]0.284600[/C][C]Trim. Kurtosis (1/120)[/C]-0.579000[/C]0.186800[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.225700[/C]0.312400[/C][C]Trim. Kurtosis (2/120)[/C]-0.685300[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.223500[/C]0.322200[/C][C]Trim. Kurtosis (3/120)[/C]-0.719500[/C]0.107400[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.217300[/C]0.337000[/C][C]Trim. Kurtosis (4/120)[/C]-0.744000[/C]0.099000[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.217000[/C]0.342200[/C][C]Trim. Kurtosis (5/120)[/C]-0.762400[/C]0.095000[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.218000[/C]0.347200[/C][C]Trim. Kurtosis (6/120)[/C]-0.789800[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.219500[/C]0.347200[/C][C]Trim. Kurtosis (7/120)[/C]-0.803400[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.220100[/C]0.352400[/C][C]Trim. Kurtosis (8/120)[/C]-0.819000[/C]0.080200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.228700[/C]0.337000[/C][C]Trim. Kurtosis (9/120)[/C]-0.817600[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.234700[/C]0.327000[/C][C]Trim. Kurtosis (10/120)[/C]-0.824700[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.240500[/C]0.322200[/C][C]Trim. Kurtosis (11/120)[/C]-0.842800[/C]0.080200[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.236100[/C]0.337000[/C][C]Trim. Kurtosis (12/120)[/C]-0.864700[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.244300[/C]0.322200[/C][C]Trim. Kurtosis (13/120)[/C]-0.871300[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.253300[/C]0.312400[/C][C]Trim. Kurtosis (14/120)[/C]-0.880000[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.256100[/C]0.312400[/C][C]Trim. Kurtosis (15/120)[/C]-0.892000[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.277300[/C]0.280200[/C][C]Trim. Kurtosis (16/120)[/C]-0.883700[/C]0.081800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.296400[/C]0.250200[/C][C]Trim. Kurtosis (17/120)[/C]-0.860000[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.314400[/C]0.230200[/C][C]Trim. Kurtosis (18/120)[/C]-0.839800[/C]0.105200[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.331800[/C]0.211200[/C][C]Trim. Kurtosis (19/120)[/C]-0.818300[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.352800[/C]0.186800[/C][C]Trim. Kurtosis (20/120)[/C]-0.806200[/C]0.128600[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.362600[/C]0.180200[/C][C]Trim. Kurtosis (21/120)[/C]-0.796300[/C]0.138800[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.364300[/C]0.183600[/C][C]Trim. Kurtosis (22/120)[/C]-0.789900[/C]0.147000[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.349100[/C]0.207600[/C][C]Trim. Kurtosis (23/120)[/C]-0.796500[/C]0.147000[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.322300[/C]0.254200[/C][C]Trim. Kurtosis (24/120)[/C]-0.828200[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.309300[/C]0.280200[/C][C]Trim. Kurtosis (25/120)[/C]-0.822500[/C]0.144200[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.284900[/C]0.327000[/C][C]Trim. Kurtosis (26/120)[/C]-0.844400[/C]0.138800[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.262400[/C]0.373400[/C][C]Trim. Kurtosis (27/120)[/C]-0.867100[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.253300[/C]0.395400[/C][C]Trim. Kurtosis (28/120)[/C]-0.861100[/C]0.144200[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.236100[/C]0.435400[/C][C]Trim. Kurtosis (29/120)[/C]-0.891300[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.207900[/C]0.496400[/C][C]Trim. Kurtosis (30/120)[/C]-0.953600[/C]0.116400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.208500[/C]0.502800[/C][C]Trim. Kurtosis (31/120)[/C]-0.940500[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.214000[/C]0.496400[/C][C]Trim. Kurtosis (32/120)[/C]-0.924000[/C]0.138800[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.224000[/C]0.484000[/C][C]Trim. Kurtosis (33/120)[/C]-0.928100[/C]0.144200[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.231000[/C]0.484000[/C][C]Trim. Kurtosis (34/120)[/C]-0.953900[/C]0.141600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.243200[/C]0.465400[/C][C]Trim. Kurtosis (35/120)[/C]-1.021400[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.233200[/C]0.496400[/C][C]Trim. Kurtosis (36/120)[/C]-1.169800[/C]0.081800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.292700[/C]0.400800[/C][C]Trim. Kurtosis (37/120)[/C]-1.217900[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.339900[/C]0.337000[/C][C]Trim. Kurtosis (38/120)[/C]-1.233300[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.381900[/C]0.293800[/C][C]Trim. Kurtosis (39/120)[/C]-1.219100[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.437000[/C]0.242000[/C][C]Trim. Kurtosis (40/120)[/C]-1.224000[/C]0.093000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103721&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103721&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)-0.4358000.047800Trim. Kurtosis (0/120)0.2440000.575400
Trim. Skewness (1/120)-0.2370000.284600Trim. Kurtosis (1/120)-0.5790000.186800
Trim. Skewness (2/120)-0.2257000.312400Trim. Kurtosis (2/120)-0.6853000.123600
Trim. Skewness (3/120)-0.2235000.322200Trim. Kurtosis (3/120)-0.7195000.107400
Trim. Skewness (4/120)-0.2173000.337000Trim. Kurtosis (4/120)-0.7440000.099000
Trim. Skewness (5/120)-0.2170000.342200Trim. Kurtosis (5/120)-0.7624000.095000
Trim. Skewness (6/120)-0.2180000.347200Trim. Kurtosis (6/120)-0.7898000.085400
Trim. Skewness (7/120)-0.2195000.347200Trim. Kurtosis (7/120)-0.8034000.083600
Trim. Skewness (8/120)-0.2201000.352400Trim. Kurtosis (8/120)-0.8190000.080200
Trim. Skewness (9/120)-0.2287000.337000Trim. Kurtosis (9/120)-0.8176000.083600
Trim. Skewness (10/120)-0.2347000.327000Trim. Kurtosis (10/120)-0.8247000.083600
Trim. Skewness (11/120)-0.2405000.322200Trim. Kurtosis (11/120)-0.8428000.080200
Trim. Skewness (12/120)-0.2361000.337000Trim. Kurtosis (12/120)-0.8647000.075000
Trim. Skewness (13/120)-0.2443000.322200Trim. Kurtosis (13/120)-0.8713000.076800
Trim. Skewness (14/120)-0.2533000.312400Trim. Kurtosis (14/120)-0.8800000.076800
Trim. Skewness (15/120)-0.2561000.312400Trim. Kurtosis (15/120)-0.8920000.075000
Trim. Skewness (16/120)-0.2773000.280200Trim. Kurtosis (16/120)-0.8837000.081800
Trim. Skewness (17/120)-0.2964000.250200Trim. Kurtosis (17/120)-0.8600000.093000
Trim. Skewness (18/120)-0.3144000.230200Trim. Kurtosis (18/120)-0.8398000.105200
Trim. Skewness (19/120)-0.3318000.211200Trim. Kurtosis (19/120)-0.8183000.118800
Trim. Skewness (20/120)-0.3528000.186800Trim. Kurtosis (20/120)-0.8062000.128600
Trim. Skewness (21/120)-0.3626000.180200Trim. Kurtosis (21/120)-0.7963000.138800
Trim. Skewness (22/120)-0.3643000.183600Trim. Kurtosis (22/120)-0.7899000.147000
Trim. Skewness (23/120)-0.3491000.207600Trim. Kurtosis (23/120)-0.7965000.147000
Trim. Skewness (24/120)-0.3223000.254200Trim. Kurtosis (24/120)-0.8282000.136200
Trim. Skewness (25/120)-0.3093000.280200Trim. Kurtosis (25/120)-0.8225000.144200
Trim. Skewness (26/120)-0.2849000.327000Trim. Kurtosis (26/120)-0.8444000.138800
Trim. Skewness (27/120)-0.2624000.373400Trim. Kurtosis (27/120)-0.8671000.136200
Trim. Skewness (28/120)-0.2533000.395400Trim. Kurtosis (28/120)-0.8611000.144200
Trim. Skewness (29/120)-0.2361000.435400Trim. Kurtosis (29/120)-0.8913000.136200
Trim. Skewness (30/120)-0.2079000.496400Trim. Kurtosis (30/120)-0.9536000.116400
Trim. Skewness (31/120)-0.2085000.502800Trim. Kurtosis (31/120)-0.9405000.126000
Trim. Skewness (32/120)-0.2140000.496400Trim. Kurtosis (32/120)-0.9240000.138800
Trim. Skewness (33/120)-0.2240000.484000Trim. Kurtosis (33/120)-0.9281000.144200
Trim. Skewness (34/120)-0.2310000.484000Trim. Kurtosis (34/120)-0.9539000.141600
Trim. Skewness (35/120)-0.2432000.465400Trim. Kurtosis (35/120)-1.0214000.121200
Trim. Skewness (36/120)-0.2332000.496400Trim. Kurtosis (36/120)-1.1698000.081800
Trim. Skewness (37/120)-0.2927000.400800Trim. Kurtosis (37/120)-1.2179000.075000
Trim. Skewness (38/120)-0.3399000.337000Trim. Kurtosis (38/120)-1.2333000.078400
Trim. Skewness (39/120)-0.3819000.293800Trim. Kurtosis (39/120)-1.2191000.087200
Trim. Skewness (40/120)-0.4370000.242000Trim. Kurtosis (40/120)-1.2240000.093000


Figures (Output of Computation)

Input Parameters & R Code

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