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*The author of this computation has been verified*

R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 18:34:46 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/30/t129114197302w09q7i1swducj.htm/, Retrieved Mon, 29 Apr 2024 10:09:44 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103720, Retrieved Mon, 29 Apr 2024 10:09:44 +0000

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Estimated Impact

128

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 18:34:46] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]

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111,1427815
109,5998096
107,6858909
113,0685878
109,3047548
111,1638185
107,9078207
109,4414206
107,9574274
110,3850063
105,6191409
109,0927371
107,7947415
110,2953148
109,4870445
109,0923296
110,7106604
107,2450985
109,3725499
109,3166116
111,8249843
112,3887005
110,1882401
106,5836369
106,9415555
110,9597509
111,1061348
109,3489644
111,9439591
108,9573786
108,0577235
108,8989551
112,5198501
109,1414226
107,0183457
110,1149944
111,4101085
110,6967643
115,0179779
114,6101938
106,679093
107,2028058
109,2382852
108,1907282
109,537002
111,0933663
110,6989747
110,8519857
112,0694953
111,2685164
110,7981918
107,2485307
111,7514322
109,4407136
111,0952277
110,2196494
109,1588878
112,9741193
109,6759363
109,1810409
111,4991336
112,5893918
109,063909
110,3756697
108,6206639
107,5488339
109,614684
112,0972337
110,4704416
111,1789812
113,0023662
106,3583506
106,2897471
111,1604655
109,9071429
114,1889181
109,8105354
107,0496186
108,1446894
106,8563785
111,2688785
107,1862352
109,642482
110,5857389
108,0995255
107,1351696
112,7231103
109,4050199
108,5680915
111,0207755
110,1878681
110,0430209
109,8492062
110,9984147
110,1197852
111,6688215
111,3319869
109,6909741
110,5601648
106,9480006
109,551393
110,4262997
111,7016994
109,1305613
109,8979953
114,3282835
113,5382146
110,3608405
108,9516068
105,764623
112,6033101
111,3851854
107,8285784
110,8698085
110,1622119
108,5652058
109,6645414
113,2390182
110,9286476
109,8834529

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	0.673259	FISHER 4th Cent. Mom.	40.671006
FISHER beta 1	0.008325	FISHER beta 2	2.831262
FISHER gamma 1	0.091244	FISHER gamma 2	-0.168738
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	0.408055	FISHER Test 2	-0.377311
FISHER Test 1 Probability	0.681800	FISHER Test 2 Probability	0.704000
Pearson 2	0.065484
Yule using Quartile definition:Weighted Average at Xnp	0.105444
Yule using Quartile definition:Weighted Average at X(n+1)p	0.117216
Yule using Quartile definition:Empirical Distribution Function	0.105444
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.122068
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.126998
Yule using Quartile definition:Closest Observation	0.105444
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.126998
Yule using Quartile definition:MS Excel (old versions)	0.112439
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	0.092403	Kurtosis (small sample)	-0.124269
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	0.418342	TEST 1 (small sample)	-0.283506
TEST 1 Prob. (small sample)	0.674400	TEST 1 Prob. (small sample)	0.771800
Observations	120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

0.673259 & FISHER 4th Cent. Mom.

40.671006 \tabularnewline FISHER beta 1

0.008325 & FISHER beta 2

2.831262 \tabularnewline FISHER gamma 1

0.091244 & FISHER gamma 2

-0.168738 \tabularnewline FISHER gamma 1 (S.E.)

0.223607 & FISHER gamma 2 (S.E.)

0.447214 \tabularnewline FISHER Test 1

0.408055 & FISHER Test 2

-0.377311 \tabularnewline FISHER Test 1 Probability

0.681800 & FISHER Test 2 Probability

0.704000 \tabularnewline Pearson 2

0.065484 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

0.105444 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.117216 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.105444 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.122068 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.126998 & & \tabularnewline Yule using Quartile definition:Closest Observation

0.105444 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.126998 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.112439 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

0.092403 & Kurtosis (small sample)

-0.124269 \tabularnewline Skewness S.E. (small sample)

0.220879 & Kurtosis S.E. (small sample)

0.438331 \tabularnewline TEST 1 (small sample)

0.418342 & TEST 1 (small sample)

-0.283506 \tabularnewline TEST 1 Prob. (small sample)

0.674400 & TEST 1 Prob. (small sample)

0.771800 \tabularnewline Observations

120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103720&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]

0.673259[/C][C]FISHER 4th Cent. Mom.[/C]

40.671006[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.008325[/C][C]FISHER beta 2[/C]

2.831262[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

0.091244[/C][C]FISHER gamma 2[/C]

-0.168738[/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]

0.408055[/C][C]FISHER Test 2[/C]

-0.377311[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.681800[/C][C]FISHER Test 2 Probability[/C]

0.704000[/C][/ROW] [ROW][C]Pearson 2[/C]

0.065484[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

0.105444[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.117216[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.105444[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.122068[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.126998[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

0.105444[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.126998[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.112439[/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]

0.092403[/C][C]Kurtosis (small sample)[/C]

-0.124269[/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]

0.418342[/C][C]TEST 1 (small sample)[/C]

-0.283506[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.674400[/C][C]TEST 1 Prob. (small sample)[/C]

0.771800[/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=103720&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103720&T=0

As an alternative you can also use a QR Code:

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

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	0.673259	FISHER 4th Cent. Mom.	40.671006
FISHER beta 1	0.008325	FISHER beta 2	2.831262
FISHER gamma 1	0.091244	FISHER gamma 2	-0.168738
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	0.408055	FISHER Test 2	-0.377311
FISHER Test 1 Probability	0.681800	FISHER Test 2 Probability	0.704000
Pearson 2	0.065484
Yule using Quartile definition:Weighted Average at Xnp	0.105444
Yule using Quartile definition:Weighted Average at X(n+1)p	0.117216
Yule using Quartile definition:Empirical Distribution Function	0.105444
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.122068
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.126998
Yule using Quartile definition:Closest Observation	0.105444
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.126998
Yule using Quartile definition:MS Excel (old versions)	0.112439
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	0.092403	Kurtosis (small sample)	-0.124269
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	0.418342	TEST 1 (small sample)	-0.283506
TEST 1 Prob. (small sample)	0.674400	TEST 1 Prob. (small sample)	0.771800
Observations	120

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)	Value	Probability	Kurtosis Measure (small sample)	Value	Probability
Trim. Skewness (0/120)	0.092400	0.674400	Trim. Kurtosis (0/120)	-0.124300	0.771800
Trim. Skewness (1/120)	0.051600	0.810400	Trim. Kurtosis (1/120)	-0.248900	0.568600
Trim. Skewness (2/120)	0.022300	0.920400	Trim. Kurtosis (2/120)	-0.362100	0.412200
Trim. Skewness (3/120)	-0.026300	0.904400	Trim. Kurtosis (3/120)	-0.440300	0.322200
Trim. Skewness (4/120)	-0.082100	0.718800	Trim. Kurtosis (4/120)	-0.548600	0.222400
Trim. Skewness (5/120)	-0.109800	0.631200	Trim. Kurtosis (5/120)	-0.573400	0.207600
Trim. Skewness (6/120)	-0.127400	0.582400	Trim. Kurtosis (6/120)	-0.579000	0.207600
Trim. Skewness (7/120)	-0.147000	0.528600	Trim. Kurtosis (7/120)	-0.569900	0.218600
Trim. Skewness (8/120)	-0.170900	0.465400	Trim. Kurtosis (8/120)	-0.562600	0.230200
Trim. Skewness (9/120)	-0.198700	0.400800	Trim. Kurtosis (9/120)	-0.571200	0.226200
Trim. Skewness (10/120)	-0.216100	0.368200	Trim. Kurtosis (10/120)	-0.564300	0.238000
Trim. Skewness (11/120)	-0.229000	0.347200	Trim. Kurtosis (11/120)	-0.560500	0.242000
Trim. Skewness (12/120)	-0.249600	0.307800	Trim. Kurtosis (12/120)	-0.566500	0.242000
Trim. Skewness (13/120)	-0.271700	0.271400	Trim. Kurtosis (13/120)	-0.584800	0.234000
Trim. Skewness (14/120)	-0.285400	0.254200	Trim. Kurtosis (14/120)	-0.618400	0.211200
Trim. Skewness (15/120)	-0.274500	0.275800	Trim. Kurtosis (15/120)	-0.648600	0.197000
Trim. Skewness (16/120)	-0.253500	0.322200	Trim. Kurtosis (16/120)	-0.724400	0.152800
Trim. Skewness (17/120)	-0.248200	0.337000	Trim. Kurtosis (17/120)	-0.749300	0.144200
Trim. Skewness (18/120)	-0.242400	0.352400	Trim. Kurtosis (18/120)	-0.759900	0.141600
Trim. Skewness (19/120)	-0.237500	0.368200	Trim. Kurtosis (19/120)	-0.763900	0.144200
Trim. Skewness (20/120)	-0.227000	0.395400	Trim. Kurtosis (20/120)	-0.782500	0.138800
Trim. Skewness (21/120)	-0.217400	0.423800	Trim. Kurtosis (21/120)	-0.809800	0.131000
Trim. Skewness (22/120)	-0.188600	0.490200	Trim. Kurtosis (22/120)	-0.841600	0.121200
Trim. Skewness (23/120)	-0.154200	0.575400	Trim. Kurtosis (23/120)	-0.869300	0.114200
Trim. Skewness (24/120)	-0.109400	0.696600	Trim. Kurtosis (24/120)	-0.922300	0.097000
Trim. Skewness (25/120)	-0.047800	0.865000	Trim. Kurtosis (25/120)	-1.008600	0.073400
Trim. Skewness (26/120)	0.037500	0.896600	Trim. Kurtosis (26/120)	-1.143500	0.045600
Trim. Skewness (27/120)	0.064800	0.825800	Trim. Kurtosis (27/120)	-1.163300	0.045600
Trim. Skewness (28/120)	0.112700	0.704000	Trim. Kurtosis (28/120)	-1.199200	0.041400
Trim. Skewness (29/120)	0.167100	0.582400	Trim. Kurtosis (29/120)	-1.249200	0.036600
Trim. Skewness (30/120)	0.180100	0.555200	Trim. Kurtosis (30/120)	-1.240900	0.041400
Trim. Skewness (31/120)	0.189300	0.541800	Trim. Kurtosis (31/120)	-1.231100	0.045600
Trim. Skewness (32/120)	0.204500	0.515600	Trim. Kurtosis (32/120)	-1.224400	0.051200
Trim. Skewness (33/120)	0.204600	0.522200	Trim. Kurtosis (33/120)	-1.210200	0.057400
Trim. Skewness (34/120)	0.196600	0.548400	Trim. Kurtosis (34/120)	-1.207700	0.062800
Trim. Skewness (35/120)	0.199100	0.548400	Trim. Kurtosis (35/120)	-1.196100	0.070200
Trim. Skewness (36/120)	0.196000	0.562000	Trim. Kurtosis (36/120)	-1.188300	0.076800
Trim. Skewness (37/120)	0.195600	0.575400	Trim. Kurtosis (37/120)	-1.185100	0.083600
Trim. Skewness (38/120)	0.195000	0.582400	Trim. Kurtosis (38/120)	-1.194100	0.087200
Trim. Skewness (39/120)	0.202800	0.575400	Trim. Kurtosis (39/120)	-1.201700	0.093000
Trim. Skewness (40/120)	0.193900	0.603000	Trim. Kurtosis (40/120)	-1.226100	0.093000

\begin{tabular}{lllllllll}
\hline

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data \tabularnewline

Skewness Measure (small sample)

Value

Probability

Kurtosis Measure (small sample)

Value

Probability \tabularnewline Trim. Skewness (0/120)

0.092400

0.674400 & Trim. Kurtosis (0/120)

-0.124300

0.771800 \tabularnewline Trim. Skewness (1/120)

0.051600

0.810400 & Trim. Kurtosis (1/120)

-0.248900

0.568600 \tabularnewline Trim. Skewness (2/120)

0.022300

0.920400 & Trim. Kurtosis (2/120)

-0.362100

0.412200 \tabularnewline Trim. Skewness (3/120)

-0.026300

0.904400 & Trim. Kurtosis (3/120)

-0.440300

0.322200 \tabularnewline Trim. Skewness (4/120)

-0.082100

0.718800 & Trim. Kurtosis (4/120)

-0.548600

0.222400 \tabularnewline Trim. Skewness (5/120)

-0.109800

0.631200 & Trim. Kurtosis (5/120)

-0.573400

0.207600 \tabularnewline Trim. Skewness (6/120)

-0.127400

0.582400 & Trim. Kurtosis (6/120)

-0.579000

0.207600 \tabularnewline Trim. Skewness (7/120)

-0.147000

0.528600 & Trim. Kurtosis (7/120)

-0.569900

0.218600 \tabularnewline Trim. Skewness (8/120)

-0.170900

0.465400 & Trim. Kurtosis (8/120)

-0.562600

0.230200 \tabularnewline Trim. Skewness (9/120)

-0.198700

0.400800 & Trim. Kurtosis (9/120)

-0.571200

0.226200 \tabularnewline Trim. Skewness (10/120)

-0.216100

0.368200 & Trim. Kurtosis (10/120)

-0.564300

0.238000 \tabularnewline Trim. Skewness (11/120)

-0.229000

0.347200 & Trim. Kurtosis (11/120)

-0.560500

0.242000 \tabularnewline Trim. Skewness (12/120)

-0.249600

0.307800 & Trim. Kurtosis (12/120)

-0.566500

0.242000 \tabularnewline Trim. Skewness (13/120)

-0.271700

0.271400 & Trim. Kurtosis (13/120)

-0.584800

0.234000 \tabularnewline Trim. Skewness (14/120)

-0.285400

0.254200 & Trim. Kurtosis (14/120)

-0.618400

0.211200 \tabularnewline Trim. Skewness (15/120)

-0.274500

0.275800 & Trim. Kurtosis (15/120)

-0.648600

0.197000 \tabularnewline Trim. Skewness (16/120)

-0.253500

0.322200 & Trim. Kurtosis (16/120)

-0.724400

0.152800 \tabularnewline Trim. Skewness (17/120)

-0.248200

0.337000 & Trim. Kurtosis (17/120)

-0.749300

0.144200 \tabularnewline Trim. Skewness (18/120)

-0.242400

0.352400 & Trim. Kurtosis (18/120)

-0.759900

0.141600 \tabularnewline Trim. Skewness (19/120)

-0.237500

0.368200 & Trim. Kurtosis (19/120)

-0.763900

0.144200 \tabularnewline Trim. Skewness (20/120)

-0.227000

0.395400 & Trim. Kurtosis (20/120)

-0.782500

0.138800 \tabularnewline Trim. Skewness (21/120)

-0.217400

0.423800 & Trim. Kurtosis (21/120)

-0.809800

0.131000 \tabularnewline Trim. Skewness (22/120)

-0.188600

0.490200 & Trim. Kurtosis (22/120)

-0.841600

0.121200 \tabularnewline Trim. Skewness (23/120)

-0.154200

0.575400 & Trim. Kurtosis (23/120)

-0.869300

0.114200 \tabularnewline Trim. Skewness (24/120)

-0.109400

0.696600 & Trim. Kurtosis (24/120)

-0.922300

0.097000 \tabularnewline Trim. Skewness (25/120)

-0.047800

0.865000 & Trim. Kurtosis (25/120)

-1.008600

0.073400 \tabularnewline Trim. Skewness (26/120)

0.037500

0.896600 & Trim. Kurtosis (26/120)

-1.143500

0.045600 \tabularnewline Trim. Skewness (27/120)

0.064800

0.825800 & Trim. Kurtosis (27/120)

-1.163300

0.045600 \tabularnewline Trim. Skewness (28/120)

0.112700

0.704000 & Trim. Kurtosis (28/120)

-1.199200

0.041400 \tabularnewline Trim. Skewness (29/120)

0.167100

0.582400 & Trim. Kurtosis (29/120)

-1.249200

0.036600 \tabularnewline Trim. Skewness (30/120)

0.180100

0.555200 & Trim. Kurtosis (30/120)

-1.240900

0.041400 \tabularnewline Trim. Skewness (31/120)

0.189300

0.541800 & Trim. Kurtosis (31/120)

-1.231100

0.045600 \tabularnewline Trim. Skewness (32/120)

0.204500

0.515600 & Trim. Kurtosis (32/120)

-1.224400

0.051200 \tabularnewline Trim. Skewness (33/120)

0.204600

0.522200 & Trim. Kurtosis (33/120)

-1.210200

0.057400 \tabularnewline Trim. Skewness (34/120)

0.196600

0.548400 & Trim. Kurtosis (34/120)

-1.207700

0.062800 \tabularnewline Trim. Skewness (35/120)

0.199100

0.548400 & Trim. Kurtosis (35/120)

-1.196100

0.070200 \tabularnewline Trim. Skewness (36/120)

0.196000

0.562000 & Trim. Kurtosis (36/120)

-1.188300

0.076800 \tabularnewline Trim. Skewness (37/120)

0.195600

0.575400 & Trim. Kurtosis (37/120)

-1.185100

0.083600 \tabularnewline Trim. Skewness (38/120)

0.195000

0.582400 & Trim. Kurtosis (38/120)

-1.194100

0.087200 \tabularnewline Trim. Skewness (39/120)

0.202800

0.575400 & Trim. Kurtosis (39/120)

-1.201700

0.093000 \tabularnewline Trim. Skewness (40/120)

0.193900

0.603000 & Trim. Kurtosis (40/120)

-1.226100

0.093000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103720&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]

0.092400[/C]

0.674400[/C][C]Trim. Kurtosis (0/120)[/C]

-0.124300[/C]

0.771800[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]

0.051600[/C]

0.810400[/C][C]Trim. Kurtosis (1/120)[/C]

-0.248900[/C]

0.568600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]

0.022300[/C]

0.920400[/C][C]Trim. Kurtosis (2/120)[/C]

-0.362100[/C]

0.412200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]

-0.026300[/C]

0.904400[/C][C]Trim. Kurtosis (3/120)[/C]

-0.440300[/C]

0.322200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]

-0.082100[/C]

0.718800[/C][C]Trim. Kurtosis (4/120)[/C]

-0.548600[/C]

0.222400[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]

-0.109800[/C]

0.631200[/C][C]Trim. Kurtosis (5/120)[/C]

-0.573400[/C]

0.207600[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]

-0.127400[/C]

0.582400[/C][C]Trim. Kurtosis (6/120)[/C]

-0.579000[/C]

0.207600[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]

-0.147000[/C]

0.528600[/C][C]Trim. Kurtosis (7/120)[/C]

-0.569900[/C]

0.218600[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]

-0.170900[/C]

0.465400[/C][C]Trim. Kurtosis (8/120)[/C]

-0.562600[/C]

0.230200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]

-0.198700[/C]

0.400800[/C][C]Trim. Kurtosis (9/120)[/C]

-0.571200[/C]

0.226200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]

-0.216100[/C]

0.368200[/C][C]Trim. Kurtosis (10/120)[/C]

-0.564300[/C]

0.238000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]

-0.229000[/C]

0.347200[/C][C]Trim. Kurtosis (11/120)[/C]

-0.560500[/C]

0.242000[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]

-0.249600[/C]

0.307800[/C][C]Trim. Kurtosis (12/120)[/C]

-0.566500[/C]

0.242000[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]

-0.271700[/C]

0.271400[/C][C]Trim. Kurtosis (13/120)[/C]

-0.584800[/C]

0.234000[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]

-0.285400[/C]

0.254200[/C][C]Trim. Kurtosis (14/120)[/C]

-0.618400[/C]

0.211200[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]

-0.274500[/C]

0.275800[/C][C]Trim. Kurtosis (15/120)[/C]

-0.648600[/C]

0.197000[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]

-0.253500[/C]

0.322200[/C][C]Trim. Kurtosis (16/120)[/C]

-0.724400[/C]

0.152800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]

-0.248200[/C]

0.337000[/C][C]Trim. Kurtosis (17/120)[/C]

-0.749300[/C]

0.144200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]

-0.242400[/C]

0.352400[/C][C]Trim. Kurtosis (18/120)[/C]

-0.759900[/C]

0.141600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]

-0.237500[/C]

0.368200[/C][C]Trim. Kurtosis (19/120)[/C]

-0.763900[/C]

0.144200[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]

-0.227000[/C]

0.395400[/C][C]Trim. Kurtosis (20/120)[/C]

-0.782500[/C]

0.138800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]

-0.217400[/C]

0.423800[/C][C]Trim. Kurtosis (21/120)[/C]

-0.809800[/C]

0.131000[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]

-0.188600[/C]

0.490200[/C][C]Trim. Kurtosis (22/120)[/C]

-0.841600[/C]

0.121200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]

-0.154200[/C]

0.575400[/C][C]Trim. Kurtosis (23/120)[/C]

-0.869300[/C]

0.114200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]

-0.109400[/C]

0.696600[/C][C]Trim. Kurtosis (24/120)[/C]

-0.922300[/C]

0.097000[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]

-0.047800[/C]

0.865000[/C][C]Trim. Kurtosis (25/120)[/C]

-1.008600[/C]

0.073400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]

0.037500[/C]

0.896600[/C][C]Trim. Kurtosis (26/120)[/C]

-1.143500[/C]

0.045600[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]

0.064800[/C]

0.825800[/C][C]Trim. Kurtosis (27/120)[/C]

-1.163300[/C]

0.045600[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]

0.112700[/C]

0.704000[/C][C]Trim. Kurtosis (28/120)[/C]

-1.199200[/C]

0.041400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]

0.167100[/C]

0.582400[/C][C]Trim. Kurtosis (29/120)[/C]

-1.249200[/C]

0.036600[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]

0.180100[/C]

0.555200[/C][C]Trim. Kurtosis (30/120)[/C]

-1.240900[/C]

0.041400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]

0.189300[/C]

0.541800[/C][C]Trim. Kurtosis (31/120)[/C]

-1.231100[/C]

0.045600[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]

0.204500[/C]

0.515600[/C][C]Trim. Kurtosis (32/120)[/C]

-1.224400[/C]

0.051200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]

0.204600[/C]

0.522200[/C][C]Trim. Kurtosis (33/120)[/C]

-1.210200[/C]

0.057400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]

0.196600[/C]

0.548400[/C][C]Trim. Kurtosis (34/120)[/C]

-1.207700[/C]

0.062800[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]

0.199100[/C]

0.548400[/C][C]Trim. Kurtosis (35/120)[/C]

-1.196100[/C]

0.070200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]

0.196000[/C]

0.562000[/C][C]Trim. Kurtosis (36/120)[/C]

-1.188300[/C]

0.076800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]

0.195600[/C]

0.575400[/C][C]Trim. Kurtosis (37/120)[/C]

-1.185100[/C]

0.083600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]

0.195000[/C]

0.582400[/C][C]Trim. Kurtosis (38/120)[/C]

-1.194100[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]

0.202800[/C]

0.575400[/C][C]Trim. Kurtosis (39/120)[/C]

-1.201700[/C]

0.093000[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]

0.193900[/C]

0.603000[/C][C]Trim. Kurtosis (40/120)[/C]

-1.226100[/C]

0.093000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103720&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103720&T=1

As an alternative you can also use a 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)	Value	Probability	Kurtosis Measure (small sample)	Value	Probability
Trim. Skewness (0/120)	0.092400	0.674400	Trim. Kurtosis (0/120)	-0.124300	0.771800
Trim. Skewness (1/120)	0.051600	0.810400	Trim. Kurtosis (1/120)	-0.248900	0.568600
Trim. Skewness (2/120)	0.022300	0.920400	Trim. Kurtosis (2/120)	-0.362100	0.412200
Trim. Skewness (3/120)	-0.026300	0.904400	Trim. Kurtosis (3/120)	-0.440300	0.322200
Trim. Skewness (4/120)	-0.082100	0.718800	Trim. Kurtosis (4/120)	-0.548600	0.222400
Trim. Skewness (5/120)	-0.109800	0.631200	Trim. Kurtosis (5/120)	-0.573400	0.207600
Trim. Skewness (6/120)	-0.127400	0.582400	Trim. Kurtosis (6/120)	-0.579000	0.207600
Trim. Skewness (7/120)	-0.147000	0.528600	Trim. Kurtosis (7/120)	-0.569900	0.218600
Trim. Skewness (8/120)	-0.170900	0.465400	Trim. Kurtosis (8/120)	-0.562600	0.230200
Trim. Skewness (9/120)	-0.198700	0.400800	Trim. Kurtosis (9/120)	-0.571200	0.226200
Trim. Skewness (10/120)	-0.216100	0.368200	Trim. Kurtosis (10/120)	-0.564300	0.238000
Trim. Skewness (11/120)	-0.229000	0.347200	Trim. Kurtosis (11/120)	-0.560500	0.242000
Trim. Skewness (12/120)	-0.249600	0.307800	Trim. Kurtosis (12/120)	-0.566500	0.242000
Trim. Skewness (13/120)	-0.271700	0.271400	Trim. Kurtosis (13/120)	-0.584800	0.234000
Trim. Skewness (14/120)	-0.285400	0.254200	Trim. Kurtosis (14/120)	-0.618400	0.211200
Trim. Skewness (15/120)	-0.274500	0.275800	Trim. Kurtosis (15/120)	-0.648600	0.197000
Trim. Skewness (16/120)	-0.253500	0.322200	Trim. Kurtosis (16/120)	-0.724400	0.152800
Trim. Skewness (17/120)	-0.248200	0.337000	Trim. Kurtosis (17/120)	-0.749300	0.144200
Trim. Skewness (18/120)	-0.242400	0.352400	Trim. Kurtosis (18/120)	-0.759900	0.141600
Trim. Skewness (19/120)	-0.237500	0.368200	Trim. Kurtosis (19/120)	-0.763900	0.144200
Trim. Skewness (20/120)	-0.227000	0.395400	Trim. Kurtosis (20/120)	-0.782500	0.138800
Trim. Skewness (21/120)	-0.217400	0.423800	Trim. Kurtosis (21/120)	-0.809800	0.131000
Trim. Skewness (22/120)	-0.188600	0.490200	Trim. Kurtosis (22/120)	-0.841600	0.121200
Trim. Skewness (23/120)	-0.154200	0.575400	Trim. Kurtosis (23/120)	-0.869300	0.114200
Trim. Skewness (24/120)	-0.109400	0.696600	Trim. Kurtosis (24/120)	-0.922300	0.097000
Trim. Skewness (25/120)	-0.047800	0.865000	Trim. Kurtosis (25/120)	-1.008600	0.073400
Trim. Skewness (26/120)	0.037500	0.896600	Trim. Kurtosis (26/120)	-1.143500	0.045600
Trim. Skewness (27/120)	0.064800	0.825800	Trim. Kurtosis (27/120)	-1.163300	0.045600
Trim. Skewness (28/120)	0.112700	0.704000	Trim. Kurtosis (28/120)	-1.199200	0.041400
Trim. Skewness (29/120)	0.167100	0.582400	Trim. Kurtosis (29/120)	-1.249200	0.036600
Trim. Skewness (30/120)	0.180100	0.555200	Trim. Kurtosis (30/120)	-1.240900	0.041400
Trim. Skewness (31/120)	0.189300	0.541800	Trim. Kurtosis (31/120)	-1.231100	0.045600
Trim. Skewness (32/120)	0.204500	0.515600	Trim. Kurtosis (32/120)	-1.224400	0.051200
Trim. Skewness (33/120)	0.204600	0.522200	Trim. Kurtosis (33/120)	-1.210200	0.057400
Trim. Skewness (34/120)	0.196600	0.548400	Trim. Kurtosis (34/120)	-1.207700	0.062800
Trim. Skewness (35/120)	0.199100	0.548400	Trim. Kurtosis (35/120)	-1.196100	0.070200
Trim. Skewness (36/120)	0.196000	0.562000	Trim. Kurtosis (36/120)	-1.188300	0.076800
Trim. Skewness (37/120)	0.195600	0.575400	Trim. Kurtosis (37/120)	-1.185100	0.083600
Trim. Skewness (38/120)	0.195000	0.582400	Trim. Kurtosis (38/120)	-1.194100	0.087200
Trim. Skewness (39/120)	0.202800	0.575400	Trim. Kurtosis (39/120)	-1.201700	0.093000
Trim. Skewness (40/120)	0.193900	0.603000	Trim. Kurtosis (40/120)	-1.226100	0.093000

Parameters (Session):

Parameters (R input):

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

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code