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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Wed, 24 Nov 2010 16:04:29 +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/24/t1290614687r8gne0oi5tya52j.htm/, Retrieved Thu, 02 May 2024 09:15:31 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=100363, Retrieved Thu, 02 May 2024 09:15:31 +0000

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No (this computation is public)

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Estimated Impact

145

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Skewness and Kurtosis] [] [2010-11-24 16:04:29] [b91d9cfbf8712a09013bf3c2e3081c55] [Current]
-    D    [Skewness and Kurtosis] [] [2010-11-25 18:29:18] [234dae34fc2a42f724a2786a39cb083b] 
-    D    [Skewness and Kurtosis] [] [2010-11-25 20:39:37] [afd301b68d203992295e6972aed62880] 

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Dataseries X:

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83,5	1,817
82,68	1,4
82,4	1,7324337
82,782566	1,59
81,384	1,9552
79,67	1,33
80,43	1,83
82,83	1,84
84,11	1,98
82	1,32
81,95	1,39
77,35	1,34
83	2,08
81,8	1,9
82,2	2,88
83,98	1,35
85,81	1,32
82,36	1,13
82,3	1,65
77,238835	2,171569
81,9	1,7
82,035	2
82,66	1,9
79,6	1,27
81,75	1,35
78,2	1,24
81,415	1,31
84,1	1,38
82,94	1,85
84,04	1,43
74	2,18
81,345	1,84
80,7	2,1
43,452	7,151
79,574	1,78
73,412	2,4116
43,958	5,8
78,868	2,2732
77,28	2,3348
64,576	2,9056
75,5	1,287
57,354	5,5052
67,04	2,3368
67,358	3,5916
77,28	1,18
50,036	2,9528
75,84	2,265
76,3	1,37
53,46	6,0754
50,492	6,8
61,402	3,2674
50,732	4,4346
45,822	4,654
51,988	6,2644
76,38	2,425
56,118	4,5502
47,46	6,3
81,104	2,1354
48,998	4,5832
79,37	1,38
80,138	1,518
75,2	2,4
77,856	2,6258
73,312	2,9476
74,684	2,723
52,356	5,414
59,768	5,1436
78,14	1,55
70,892	2,7976
57,212	3,1232
60,134	4,7934
74,686	1,4212
60,138	3,9466
73,516	4,2416
57,154	5,5176
47,778	7,0752
62,204	3,8
73,472	3,3053333
85,5	0,966
72,278	2,0568
61,024	4,3828
72	2,36
54,55	4,9672
69,158	1,8634
72,1	2,7
65,264	3,2878
76,5	1,35
73,988	2,231
42,94	3,457
46,2	5,2
76,63	2,7852
77,06	1,31
76,434	1,453
60,796	4,8764
47,886	5,6808
76,452	2,6524
56,066	6,5538
80,7	1,41
65,586	4,4626
75,91	1,7
72,274	1,7
43	5,1942
64,876	2,1034
52,984	3,6
63,716	3,1
75,58	2,804
55,508	7,02575
47,328	5,4266
77,142	3,1396
78,064	2,5888
60,274	3,8918
73,714	2,553
73,648	3,2952
82,56	1,7728
75,8	1,31
73,23	1,3
47,262	5,9356
64,822	5,1885714
75,88	1,43
43,87	6,4768
82,6	1,28
48,934	6,1208
52,5	2,73
59,622	4,3464
75,838	3,1606
81,4	1,115
69,204	3,4402
53,002	5,2576
74,774	1,845
60,004	4,9142
71,62	1,63
76	2,03
67,372	2,5502
51,432	6,685
74,06	1,2
81,258	2,347
79,52	2,03
76,41	2,62
63,848	5,6052
41,86	5,2704
42,062	3,7274286

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-1451.827930	FISHER 4th Cent. Mom.	56280.302299
FISHER beta 1	0.505612	FISHER beta 2	2.172774
FISHER gamma 1	-0.711064	FISHER gamma 2	-0.827226
FISHER gamma 1 (S.E.)	0.206284	FISHER gamma 2 (S.E.)	0.412568
FISHER Test 1	-3.447011	FISHER Test 2	-2.005063
FISHER Test 1 Probability	0.000600	FISHER Test 2 Probability	0.044400
Pearson 2	-1.100185
Yule using Quartile definition:Weighted Average at Xnp	-0.435828
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.416125
Yule using Quartile definition:Empirical Distribution Function	-0.429472
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.429472
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.429472
Yule using Quartile definition:Closest Observation	-0.436238
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.416125
Yule using Quartile definition:MS Excel (old versions)	-0.416125
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.718733	Kurtosis (small sample)	-0.813536
Skewness S.E. (small sample)	0.204134	Kurtosis S.E. (small sample)	0.405545
TEST 1 (small sample)	-3.520880	TEST 1 (small sample)	-2.006034
TEST 1 Prob. (small sample)	0.000400	TEST 1 Prob. (small sample)	0.044400
Observations	141

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-1451.827930 & FISHER 4th Cent. Mom.

56280.302299 \tabularnewline FISHER beta 1

0.505612 & FISHER beta 2

2.172774 \tabularnewline FISHER gamma 1

-0.711064 & FISHER gamma 2

-0.827226 \tabularnewline FISHER gamma 1 (S.E.)

0.206284 & FISHER gamma 2 (S.E.)

0.412568 \tabularnewline FISHER Test 1

-3.447011 & FISHER Test 2

-2.005063 \tabularnewline FISHER Test 1 Probability

0.000600 & FISHER Test 2 Probability

0.044400 \tabularnewline Pearson 2

-1.100185 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.435828 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

-0.416125 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

-0.429472 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

-0.429472 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

-0.429472 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.436238 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

-0.416125 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

-0.416125 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.718733 & Kurtosis (small sample)

-0.813536 \tabularnewline Skewness S.E. (small sample)

0.204134 & Kurtosis S.E. (small sample)

0.405545 \tabularnewline TEST 1 (small sample)

-3.520880 & TEST 1 (small sample)

-2.006034 \tabularnewline TEST 1 Prob. (small sample)

0.000400 & TEST 1 Prob. (small sample)

0.044400 \tabularnewline Observations

141 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=100363&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]

-1451.827930[/C][C]FISHER 4th Cent. Mom.[/C]

56280.302299[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.505612[/C][C]FISHER beta 2[/C]

2.172774[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.711064[/C][C]FISHER gamma 2[/C]

-0.827226[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]

0.206284[/C][C]FISHER gamma 2 (S.E.)[/C]

0.412568[/C][/ROW] [ROW][C]FISHER Test 1[/C]

-3.447011[/C][C]FISHER Test 2[/C]

-2.005063[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.000600[/C][C]FISHER Test 2 Probability[/C]

0.044400[/C][/ROW] [ROW][C]Pearson 2[/C]

-1.100185[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.435828[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

-0.416125[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

-0.429472[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

-0.429472[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

-0.429472[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.436238[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

-0.416125[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

-0.416125[/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]

-0.718733[/C][C]Kurtosis (small sample)[/C]

-0.813536[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]

0.204134[/C][C]Kurtosis S.E. (small sample)[/C]

0.405545[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]

-3.520880[/C][C]TEST 1 (small sample)[/C]

-2.006034[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.000400[/C][C]TEST 1 Prob. (small sample)[/C]

0.044400[/C][/ROW] [ROW][C]Observations[/C]

141[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=100363&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100363&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.	-1451.827930	FISHER 4th Cent. Mom.	56280.302299
FISHER beta 1	0.505612	FISHER beta 2	2.172774
FISHER gamma 1	-0.711064	FISHER gamma 2	-0.827226
FISHER gamma 1 (S.E.)	0.206284	FISHER gamma 2 (S.E.)	0.412568
FISHER Test 1	-3.447011	FISHER Test 2	-2.005063
FISHER Test 1 Probability	0.000600	FISHER Test 2 Probability	0.044400
Pearson 2	-1.100185
Yule using Quartile definition:Weighted Average at Xnp	-0.435828
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.416125
Yule using Quartile definition:Empirical Distribution Function	-0.429472
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.429472
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.429472
Yule using Quartile definition:Closest Observation	-0.436238
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.416125
Yule using Quartile definition:MS Excel (old versions)	-0.416125
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.718733	Kurtosis (small sample)	-0.813536
Skewness S.E. (small sample)	0.204134	Kurtosis S.E. (small sample)	0.405545
TEST 1 (small sample)	-3.520880	TEST 1 (small sample)	-2.006034
TEST 1 Prob. (small sample)	0.000400	TEST 1 Prob. (small sample)	0.044400
Observations	141

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)	Value	Probability	Kurtosis Measure (small sample)	Value	Probability
Trim. Skewness (0/141)	-0.718700	0.000400	Trim. Kurtosis (0/141)	-0.813500	0.044400
Trim. Skewness (1/141)	-0.723100	0.000400	Trim. Kurtosis (1/141)	-0.809400	0.046600
Trim. Skewness (2/141)	-0.726100	0.000400	Trim. Kurtosis (2/141)	-0.809000	0.048800
Trim. Skewness (3/141)	-0.727600	0.000400	Trim. Kurtosis (3/141)	-0.804000	0.051200
Trim. Skewness (4/141)	-0.727400	0.000600	Trim. Kurtosis (4/141)	-0.804800	0.053600
Trim. Skewness (5/141)	-0.727200	0.000600	Trim. Kurtosis (5/141)	-0.806800	0.053600
Trim. Skewness (6/141)	-0.726500	0.000600	Trim. Kurtosis (6/141)	-0.811000	0.054800
Trim. Skewness (7/141)	-0.722400	0.000800	Trim. Kurtosis (7/141)	-0.824100	0.052400
Trim. Skewness (8/141)	-0.723800	0.000800	Trim. Kurtosis (8/141)	-0.816500	0.057400
Trim. Skewness (9/141)	-0.725100	0.000800	Trim. Kurtosis (9/141)	-0.809600	0.061400
Trim. Skewness (10/141)	-0.729400	0.001000	Trim. Kurtosis (10/141)	-0.793100	0.068800
Trim. Skewness (11/141)	-0.732300	0.001000	Trim. Kurtosis (11/141)	-0.780600	0.075000
Trim. Skewness (12/141)	-0.733600	0.001000	Trim. Kurtosis (12/141)	-0.772400	0.080200
Trim. Skewness (13/141)	-0.734300	0.001200	Trim. Kurtosis (13/141)	-0.766500	0.085400
Trim. Skewness (14/141)	-0.732700	0.001200	Trim. Kurtosis (14/141)	-0.768300	0.087200
Trim. Skewness (15/141)	-0.734800	0.001400	Trim. Kurtosis (15/141)	-0.759300	0.095000
Trim. Skewness (16/141)	-0.733800	0.001400	Trim. Kurtosis (16/141)	-0.758900	0.097000
Trim. Skewness (17/141)	-0.736900	0.001600	Trim. Kurtosis (17/141)	-0.746800	0.105200
Trim. Skewness (18/141)	-0.740300	0.001600	Trim. Kurtosis (18/141)	-0.733900	0.114200
Trim. Skewness (19/141)	-0.742300	0.001800	Trim. Kurtosis (19/141)	-0.725500	0.123600
Trim. Skewness (20/141)	-0.745900	0.001800	Trim. Kurtosis (20/141)	-0.711200	0.133600
Trim. Skewness (21/141)	-0.750800	0.002000	Trim. Kurtosis (21/141)	-0.693500	0.147000
Trim. Skewness (22/141)	-0.755700	0.002000	Trim. Kurtosis (22/141)	-0.676500	0.161600
Trim. Skewness (23/141)	-0.758300	0.002200	Trim. Kurtosis (23/141)	-0.667800	0.170600
Trim. Skewness (24/141)	-0.761000	0.002200	Trim. Kurtosis (24/141)	-0.659700	0.180200
Trim. Skewness (25/141)	-0.758800	0.002600	Trim. Kurtosis (25/141)	-0.670700	0.177000
Trim. Skewness (26/141)	-0.753400	0.003200	Trim. Kurtosis (26/141)	-0.690300	0.170600
Trim. Skewness (27/141)	-0.754900	0.003400	Trim. Kurtosis (27/141)	-0.691600	0.173800
Trim. Skewness (28/141)	-0.763000	0.003400	Trim. Kurtosis (28/141)	-0.676400	0.190200
Trim. Skewness (29/141)	-0.773900	0.003400	Trim. Kurtosis (29/141)	-0.656700	0.207600
Trim. Skewness (30/141)	-0.781000	0.003400	Trim. Kurtosis (30/141)	-0.654500	0.215000
Trim. Skewness (31/141)	-0.796600	0.003200	Trim. Kurtosis (31/141)	-0.628800	0.238000
Trim. Skewness (32/141)	-0.805100	0.003200	Trim. Kurtosis (32/141)	-0.620600	0.250200
Trim. Skewness (33/141)	-0.809900	0.003600	Trim. Kurtosis (33/141)	-0.637100	0.242000
Trim. Skewness (34/141)	-0.841200	0.002600	Trim. Kurtosis (34/141)	-0.568300	0.303000
Trim. Skewness (35/141)	-0.872000	0.002200	Trim. Kurtosis (35/141)	-0.495400	0.373400
Trim. Skewness (36/141)	-0.900300	0.001800	Trim. Kurtosis (36/141)	-0.415800	0.465400
Trim. Skewness (37/141)	-0.929200	0.001400	Trim. Kurtosis (37/141)	-0.334500	0.562000
Trim. Skewness (38/141)	-0.956000	0.001200	Trim. Kurtosis (38/141)	-0.264700	0.645600
Trim. Skewness (39/141)	-0.980500	0.001200	Trim. Kurtosis (39/141)	-0.212200	0.718800
Trim. Skewness (40/141)	-1.008800	0.001000	Trim. Kurtosis (40/141)	-0.153200	0.794800

\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 (0/141)

-0.718700

0.000400 & Trim. Kurtosis (0/141)

-0.813500

0.044400 \tabularnewline Trim. Skewness (1/141)

-0.723100

0.000400 & Trim. Kurtosis (1/141)

-0.809400

0.046600 \tabularnewline Trim. Skewness (2/141)

-0.726100

0.000400 & Trim. Kurtosis (2/141)

-0.809000

0.048800 \tabularnewline Trim. Skewness (3/141)

-0.727600

0.000400 & Trim. Kurtosis (3/141)

-0.804000

0.051200 \tabularnewline Trim. Skewness (4/141)

-0.727400

0.000600 & Trim. Kurtosis (4/141)

-0.804800

0.053600 \tabularnewline Trim. Skewness (5/141)

-0.727200

0.000600 & Trim. Kurtosis (5/141)

-0.806800

0.053600 \tabularnewline Trim. Skewness (6/141)

-0.726500

0.000600 & Trim. Kurtosis (6/141)

-0.811000

0.054800 \tabularnewline Trim. Skewness (7/141)

-0.722400

0.000800 & Trim. Kurtosis (7/141)

-0.824100

0.052400 \tabularnewline Trim. Skewness (8/141)

-0.723800

0.000800 & Trim. Kurtosis (8/141)

-0.816500

0.057400 \tabularnewline Trim. Skewness (9/141)

-0.725100

0.000800 & Trim. Kurtosis (9/141)

-0.809600

0.061400 \tabularnewline Trim. Skewness (10/141)

-0.729400

0.001000 & Trim. Kurtosis (10/141)

-0.793100

0.068800 \tabularnewline Trim. Skewness (11/141)

-0.732300

0.001000 & Trim. Kurtosis (11/141)

-0.780600

0.075000 \tabularnewline Trim. Skewness (12/141)

-0.733600

0.001000 & Trim. Kurtosis (12/141)

-0.772400

0.080200 \tabularnewline Trim. Skewness (13/141)

-0.734300

0.001200 & Trim. Kurtosis (13/141)

-0.766500

0.085400 \tabularnewline Trim. Skewness (14/141)

-0.732700

0.001200 & Trim. Kurtosis (14/141)

-0.768300

0.087200 \tabularnewline Trim. Skewness (15/141)

-0.734800

0.001400 & Trim. Kurtosis (15/141)

-0.759300

0.095000 \tabularnewline Trim. Skewness (16/141)

-0.733800

0.001400 & Trim. Kurtosis (16/141)

-0.758900

0.097000 \tabularnewline Trim. Skewness (17/141)

-0.736900

0.001600 & Trim. Kurtosis (17/141)

-0.746800

0.105200 \tabularnewline Trim. Skewness (18/141)

-0.740300

0.001600 & Trim. Kurtosis (18/141)

-0.733900

0.114200 \tabularnewline Trim. Skewness (19/141)

-0.742300

0.001800 & Trim. Kurtosis (19/141)

-0.725500

0.123600 \tabularnewline Trim. Skewness (20/141)

-0.745900

0.001800 & Trim. Kurtosis (20/141)

-0.711200

0.133600 \tabularnewline Trim. Skewness (21/141)

-0.750800

0.002000 & Trim. Kurtosis (21/141)

-0.693500

0.147000 \tabularnewline Trim. Skewness (22/141)

-0.755700

0.002000 & Trim. Kurtosis (22/141)

-0.676500

0.161600 \tabularnewline Trim. Skewness (23/141)

-0.758300

0.002200 & Trim. Kurtosis (23/141)

-0.667800

0.170600 \tabularnewline Trim. Skewness (24/141)

-0.761000

0.002200 & Trim. Kurtosis (24/141)

-0.659700

0.180200 \tabularnewline Trim. Skewness (25/141)

-0.758800

0.002600 & Trim. Kurtosis (25/141)

-0.670700

0.177000 \tabularnewline Trim. Skewness (26/141)

-0.753400

0.003200 & Trim. Kurtosis (26/141)

-0.690300

0.170600 \tabularnewline Trim. Skewness (27/141)

-0.754900

0.003400 & Trim. Kurtosis (27/141)

-0.691600

0.173800 \tabularnewline Trim. Skewness (28/141)

-0.763000

0.003400 & Trim. Kurtosis (28/141)

-0.676400

0.190200 \tabularnewline Trim. Skewness (29/141)

-0.773900

0.003400 & Trim. Kurtosis (29/141)

-0.656700

0.207600 \tabularnewline Trim. Skewness (30/141)

-0.781000

0.003400 & Trim. Kurtosis (30/141)

-0.654500

0.215000 \tabularnewline Trim. Skewness (31/141)

-0.796600

0.003200 & Trim. Kurtosis (31/141)

-0.628800

0.238000 \tabularnewline Trim. Skewness (32/141)

-0.805100

0.003200 & Trim. Kurtosis (32/141)

-0.620600

0.250200 \tabularnewline Trim. Skewness (33/141)

-0.809900

0.003600 & Trim. Kurtosis (33/141)

-0.637100

0.242000 \tabularnewline Trim. Skewness (34/141)

-0.841200

0.002600 & Trim. Kurtosis (34/141)

-0.568300

0.303000 \tabularnewline Trim. Skewness (35/141)

-0.872000

0.002200 & Trim. Kurtosis (35/141)

-0.495400

0.373400 \tabularnewline Trim. Skewness (36/141)

-0.900300

0.001800 & Trim. Kurtosis (36/141)

-0.415800

0.465400 \tabularnewline Trim. Skewness (37/141)

-0.929200

0.001400 & Trim. Kurtosis (37/141)

-0.334500

0.562000 \tabularnewline Trim. Skewness (38/141)

-0.956000

0.001200 & Trim. Kurtosis (38/141)

-0.264700

0.645600 \tabularnewline Trim. Skewness (39/141)

-0.980500

0.001200 & Trim. Kurtosis (39/141)

-0.212200

0.718800 \tabularnewline Trim. Skewness (40/141)

-1.008800

0.001000 & Trim. Kurtosis (40/141)

-0.153200

0.794800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=100363&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 (0/141)[/C]

-0.718700[/C]

0.000400[/C][C]Trim. Kurtosis (0/141)[/C]

-0.813500[/C]

0.044400[/C][/ROW] [ROW][C]Trim. Skewness (1/141)[/C]

-0.723100[/C]

0.000400[/C][C]Trim. Kurtosis (1/141)[/C]

-0.809400[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (2/141)[/C]

-0.726100[/C]

0.000400[/C][C]Trim. Kurtosis (2/141)[/C]

-0.809000[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (3/141)[/C]

-0.727600[/C]

0.000400[/C][C]Trim. Kurtosis (3/141)[/C]

-0.804000[/C]

0.051200[/C][/ROW] [ROW][C]Trim. Skewness (4/141)[/C]

-0.727400[/C]

0.000600[/C][C]Trim. Kurtosis (4/141)[/C]

-0.804800[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (5/141)[/C]

-0.727200[/C]

0.000600[/C][C]Trim. Kurtosis (5/141)[/C]

-0.806800[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (6/141)[/C]

-0.726500[/C]

0.000600[/C][C]Trim. Kurtosis (6/141)[/C]

-0.811000[/C]

0.054800[/C][/ROW] [ROW][C]Trim. Skewness (7/141)[/C]

-0.722400[/C]

0.000800[/C][C]Trim. Kurtosis (7/141)[/C]

-0.824100[/C]

0.052400[/C][/ROW] [ROW][C]Trim. Skewness (8/141)[/C]

-0.723800[/C]

0.000800[/C][C]Trim. Kurtosis (8/141)[/C]

-0.816500[/C]

0.057400[/C][/ROW] [ROW][C]Trim. Skewness (9/141)[/C]

-0.725100[/C]

0.000800[/C][C]Trim. Kurtosis (9/141)[/C]

-0.809600[/C]

0.061400[/C][/ROW] [ROW][C]Trim. Skewness (10/141)[/C]

-0.729400[/C]

0.001000[/C][C]Trim. Kurtosis (10/141)[/C]

-0.793100[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (11/141)[/C]

-0.732300[/C]

0.001000[/C][C]Trim. Kurtosis (11/141)[/C]

-0.780600[/C]

0.075000[/C][/ROW] [ROW][C]Trim. Skewness (12/141)[/C]

-0.733600[/C]

0.001000[/C][C]Trim. Kurtosis (12/141)[/C]

-0.772400[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (13/141)[/C]

-0.734300[/C]

0.001200[/C][C]Trim. Kurtosis (13/141)[/C]

-0.766500[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (14/141)[/C]

-0.732700[/C]

0.001200[/C][C]Trim. Kurtosis (14/141)[/C]

-0.768300[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (15/141)[/C]

-0.734800[/C]

0.001400[/C][C]Trim. Kurtosis (15/141)[/C]

-0.759300[/C]

0.095000[/C][/ROW] [ROW][C]Trim. Skewness (16/141)[/C]

-0.733800[/C]

0.001400[/C][C]Trim. Kurtosis (16/141)[/C]

-0.758900[/C]

0.097000[/C][/ROW] [ROW][C]Trim. Skewness (17/141)[/C]

-0.736900[/C]

0.001600[/C][C]Trim. Kurtosis (17/141)[/C]

-0.746800[/C]

0.105200[/C][/ROW] [ROW][C]Trim. Skewness (18/141)[/C]

-0.740300[/C]

0.001600[/C][C]Trim. Kurtosis (18/141)[/C]

-0.733900[/C]

0.114200[/C][/ROW] [ROW][C]Trim. Skewness (19/141)[/C]

-0.742300[/C]

0.001800[/C][C]Trim. Kurtosis (19/141)[/C]

-0.725500[/C]

0.123600[/C][/ROW] [ROW][C]Trim. Skewness (20/141)[/C]

-0.745900[/C]

0.001800[/C][C]Trim. Kurtosis (20/141)[/C]

-0.711200[/C]

0.133600[/C][/ROW] [ROW][C]Trim. Skewness (21/141)[/C]

-0.750800[/C]

0.002000[/C][C]Trim. Kurtosis (21/141)[/C]

-0.693500[/C]

0.147000[/C][/ROW] [ROW][C]Trim. Skewness (22/141)[/C]

-0.755700[/C]

0.002000[/C][C]Trim. Kurtosis (22/141)[/C]

-0.676500[/C]

0.161600[/C][/ROW] [ROW][C]Trim. Skewness (23/141)[/C]

-0.758300[/C]

0.002200[/C][C]Trim. Kurtosis (23/141)[/C]

-0.667800[/C]

0.170600[/C][/ROW] [ROW][C]Trim. Skewness (24/141)[/C]

-0.761000[/C]

0.002200[/C][C]Trim. Kurtosis (24/141)[/C]

-0.659700[/C]

0.180200[/C][/ROW] [ROW][C]Trim. Skewness (25/141)[/C]

-0.758800[/C]

0.002600[/C][C]Trim. Kurtosis (25/141)[/C]

-0.670700[/C]

0.177000[/C][/ROW] [ROW][C]Trim. Skewness (26/141)[/C]

-0.753400[/C]

0.003200[/C][C]Trim. Kurtosis (26/141)[/C]

-0.690300[/C]

0.170600[/C][/ROW] [ROW][C]Trim. Skewness (27/141)[/C]

-0.754900[/C]

0.003400[/C][C]Trim. Kurtosis (27/141)[/C]

-0.691600[/C]

0.173800[/C][/ROW] [ROW][C]Trim. Skewness (28/141)[/C]

-0.763000[/C]

0.003400[/C][C]Trim. Kurtosis (28/141)[/C]

-0.676400[/C]

0.190200[/C][/ROW] [ROW][C]Trim. Skewness (29/141)[/C]

-0.773900[/C]

0.003400[/C][C]Trim. Kurtosis (29/141)[/C]

-0.656700[/C]

0.207600[/C][/ROW] [ROW][C]Trim. Skewness (30/141)[/C]

-0.781000[/C]

0.003400[/C][C]Trim. Kurtosis (30/141)[/C]

-0.654500[/C]

0.215000[/C][/ROW] [ROW][C]Trim. Skewness (31/141)[/C]

-0.796600[/C]

0.003200[/C][C]Trim. Kurtosis (31/141)[/C]

-0.628800[/C]

0.238000[/C][/ROW] [ROW][C]Trim. Skewness (32/141)[/C]

-0.805100[/C]

0.003200[/C][C]Trim. Kurtosis (32/141)[/C]

-0.620600[/C]

0.250200[/C][/ROW] [ROW][C]Trim. Skewness (33/141)[/C]

-0.809900[/C]

0.003600[/C][C]Trim. Kurtosis (33/141)[/C]

-0.637100[/C]

0.242000[/C][/ROW] [ROW][C]Trim. Skewness (34/141)[/C]

-0.841200[/C]

0.002600[/C][C]Trim. Kurtosis (34/141)[/C]

-0.568300[/C]

0.303000[/C][/ROW] [ROW][C]Trim. Skewness (35/141)[/C]

-0.872000[/C]

0.002200[/C][C]Trim. Kurtosis (35/141)[/C]

-0.495400[/C]

0.373400[/C][/ROW] [ROW][C]Trim. Skewness (36/141)[/C]

-0.900300[/C]

0.001800[/C][C]Trim. Kurtosis (36/141)[/C]

-0.415800[/C]

0.465400[/C][/ROW] [ROW][C]Trim. Skewness (37/141)[/C]

-0.929200[/C]

0.001400[/C][C]Trim. Kurtosis (37/141)[/C]

-0.334500[/C]

0.562000[/C][/ROW] [ROW][C]Trim. Skewness (38/141)[/C]

-0.956000[/C]

0.001200[/C][C]Trim. Kurtosis (38/141)[/C]

-0.264700[/C]

0.645600[/C][/ROW] [ROW][C]Trim. Skewness (39/141)[/C]

-0.980500[/C]

0.001200[/C][C]Trim. Kurtosis (39/141)[/C]

-0.212200[/C]

0.718800[/C][/ROW] [ROW][C]Trim. Skewness (40/141)[/C]

-1.008800[/C]

0.001000[/C][C]Trim. Kurtosis (40/141)[/C]

-0.153200[/C]

0.794800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=100363&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100363&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 (0/141)	-0.718700	0.000400	Trim. Kurtosis (0/141)	-0.813500	0.044400
Trim. Skewness (1/141)	-0.723100	0.000400	Trim. Kurtosis (1/141)	-0.809400	0.046600
Trim. Skewness (2/141)	-0.726100	0.000400	Trim. Kurtosis (2/141)	-0.809000	0.048800
Trim. Skewness (3/141)	-0.727600	0.000400	Trim. Kurtosis (3/141)	-0.804000	0.051200
Trim. Skewness (4/141)	-0.727400	0.000600	Trim. Kurtosis (4/141)	-0.804800	0.053600
Trim. Skewness (5/141)	-0.727200	0.000600	Trim. Kurtosis (5/141)	-0.806800	0.053600
Trim. Skewness (6/141)	-0.726500	0.000600	Trim. Kurtosis (6/141)	-0.811000	0.054800
Trim. Skewness (7/141)	-0.722400	0.000800	Trim. Kurtosis (7/141)	-0.824100	0.052400
Trim. Skewness (8/141)	-0.723800	0.000800	Trim. Kurtosis (8/141)	-0.816500	0.057400
Trim. Skewness (9/141)	-0.725100	0.000800	Trim. Kurtosis (9/141)	-0.809600	0.061400
Trim. Skewness (10/141)	-0.729400	0.001000	Trim. Kurtosis (10/141)	-0.793100	0.068800
Trim. Skewness (11/141)	-0.732300	0.001000	Trim. Kurtosis (11/141)	-0.780600	0.075000
Trim. Skewness (12/141)	-0.733600	0.001000	Trim. Kurtosis (12/141)	-0.772400	0.080200
Trim. Skewness (13/141)	-0.734300	0.001200	Trim. Kurtosis (13/141)	-0.766500	0.085400
Trim. Skewness (14/141)	-0.732700	0.001200	Trim. Kurtosis (14/141)	-0.768300	0.087200
Trim. Skewness (15/141)	-0.734800	0.001400	Trim. Kurtosis (15/141)	-0.759300	0.095000
Trim. Skewness (16/141)	-0.733800	0.001400	Trim. Kurtosis (16/141)	-0.758900	0.097000
Trim. Skewness (17/141)	-0.736900	0.001600	Trim. Kurtosis (17/141)	-0.746800	0.105200
Trim. Skewness (18/141)	-0.740300	0.001600	Trim. Kurtosis (18/141)	-0.733900	0.114200
Trim. Skewness (19/141)	-0.742300	0.001800	Trim. Kurtosis (19/141)	-0.725500	0.123600
Trim. Skewness (20/141)	-0.745900	0.001800	Trim. Kurtosis (20/141)	-0.711200	0.133600
Trim. Skewness (21/141)	-0.750800	0.002000	Trim. Kurtosis (21/141)	-0.693500	0.147000
Trim. Skewness (22/141)	-0.755700	0.002000	Trim. Kurtosis (22/141)	-0.676500	0.161600
Trim. Skewness (23/141)	-0.758300	0.002200	Trim. Kurtosis (23/141)	-0.667800	0.170600
Trim. Skewness (24/141)	-0.761000	0.002200	Trim. Kurtosis (24/141)	-0.659700	0.180200
Trim. Skewness (25/141)	-0.758800	0.002600	Trim. Kurtosis (25/141)	-0.670700	0.177000
Trim. Skewness (26/141)	-0.753400	0.003200	Trim. Kurtosis (26/141)	-0.690300	0.170600
Trim. Skewness (27/141)	-0.754900	0.003400	Trim. Kurtosis (27/141)	-0.691600	0.173800
Trim. Skewness (28/141)	-0.763000	0.003400	Trim. Kurtosis (28/141)	-0.676400	0.190200
Trim. Skewness (29/141)	-0.773900	0.003400	Trim. Kurtosis (29/141)	-0.656700	0.207600
Trim. Skewness (30/141)	-0.781000	0.003400	Trim. Kurtosis (30/141)	-0.654500	0.215000
Trim. Skewness (31/141)	-0.796600	0.003200	Trim. Kurtosis (31/141)	-0.628800	0.238000
Trim. Skewness (32/141)	-0.805100	0.003200	Trim. Kurtosis (32/141)	-0.620600	0.250200
Trim. Skewness (33/141)	-0.809900	0.003600	Trim. Kurtosis (33/141)	-0.637100	0.242000
Trim. Skewness (34/141)	-0.841200	0.002600	Trim. Kurtosis (34/141)	-0.568300	0.303000
Trim. Skewness (35/141)	-0.872000	0.002200	Trim. Kurtosis (35/141)	-0.495400	0.373400
Trim. Skewness (36/141)	-0.900300	0.001800	Trim. Kurtosis (36/141)	-0.415800	0.465400
Trim. Skewness (37/141)	-0.929200	0.001400	Trim. Kurtosis (37/141)	-0.334500	0.562000
Trim. Skewness (38/141)	-0.956000	0.001200	Trim. Kurtosis (38/141)	-0.264700	0.645600
Trim. Skewness (39/141)	-0.980500	0.001200	Trim. Kurtosis (39/141)	-0.212200	0.718800
Trim. Skewness (40/141)	-1.008800	0.001000	Trim. Kurtosis (40/141)	-0.153200	0.794800

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