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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 14:44:41 +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/t1291128165kznk25bpp408qvb.htm/, Retrieved Mon, 29 Apr 2024 09:47:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103548, Retrieved Mon, 29 Apr 2024 09:47:30 +0000

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-       [Skewness and Kurtosis] [] [2010-11-30 14:44:41] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]

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47.46030199
50.34432077
46.18847084
49.59116852
49.77404281
45.435956
49.46665396
51.28581929
55.04339986
44.97016085
46.22400817
44.8222092
48.38974313
50.4087989
53.43949476
49.06315846
49.3641512
44.1755509
45.03491178
53.12815244
50.61432786
47.24687001
51.43430655
46.05368675
48.62590685
53.3641787
51.20926899
53.9860135
53.65743398
48.38800124
51.93156205
52.4680267
46.95174856
51.01808473
50.04933898
43.09081557
51.92549131
51.36347969
47.3073849
49.13930756
51.59275848
53.83197404
48.40731531
49.05106047
51.21942963
46.5509906
48.24746746
51.45353074
47.90090273
53.38984535
48.16716312
44.48074923
53.3763459
49.69724502
47.63461277
47.68604612
51.43929329
47.19153308
49.40310826
52.20733769
50.90041323
53.87999171
54.5939513
45.78330633
48.86283116
48.66400016
52.32606271
53.31403619
44.08309824
50.55074611
46.50803311
48.78382381
52.28118153
51.72073162
48.04317539
45.35708342
56.40410257
51.07314923
46.27660013
47.61879617
52.03169356
49.49970001
51.6625143
48.73782247
52.09088671
48.43487127
49.70385432
44.12075809
49.36394045
49.37196284
51.28413531
51.81104042
48.87555653
48.49444036
49.6888755
47.78720428
51.02445523
47.7662593
45.13528655
46.80826941
52.83524999
52.32181322
51.14946616
52.25945711
48.5772948
49.45056936
46.71157492
51.06991775
48.93201642
49.68911805
51.51842018
50.24234211
49.30419118
49.88528095
53.0052307
53.41679889
51.92459778
43.19972449
51.93217885
49.99308015

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-4.624174	FISHER 4th Cent. Mom.	149.545125
FISHER beta 1	0.047693	FISHER beta 2	2.552879
FISHER gamma 1	-0.218387	FISHER gamma 2	-0.447121
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.976658	FISHER Test 2	-0.999793
FISHER Test 1 Probability	0.327000	FISHER Test 2 Probability	0.317400
Pearson 2	-0.020709
Yule using Quartile definition:Weighted Average at Xnp	0.038172
Yule using Quartile definition:Weighted Average at X(n+1)p	0.050227
Yule using Quartile definition:Empirical Distribution Function	0.038172
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.048101
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.045953
Yule using Quartile definition:Closest Observation	0.038172
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.045953
Yule using Quartile definition:MS Excel (old versions)	0.052332
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.221162	Kurtosis (small sample)	-0.414609
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-1.001282	TEST 1 (small sample)	-0.945883
TEST 1 Prob. (small sample)	0.312400	TEST 1 Prob. (small sample)	0.342200
Observations	120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-4.624174 & FISHER 4th Cent. Mom.

149.545125 \tabularnewline FISHER beta 1

0.047693 & FISHER beta 2

2.552879 \tabularnewline FISHER gamma 1

-0.218387 & FISHER gamma 2

-0.447121 \tabularnewline FISHER gamma 1 (S.E.)

0.223607 & FISHER gamma 2 (S.E.)

0.447214 \tabularnewline FISHER Test 1

-0.976658 & FISHER Test 2

-0.999793 \tabularnewline FISHER Test 1 Probability

0.327000 & FISHER Test 2 Probability

0.317400 \tabularnewline Pearson 2

-0.020709 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

0.038172 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.050227 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.038172 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.048101 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.045953 & & \tabularnewline Yule using Quartile definition:Closest Observation

0.038172 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.045953 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.052332 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.221162 & Kurtosis (small sample)

-0.414609 \tabularnewline Skewness S.E. (small sample)

0.220879 & Kurtosis S.E. (small sample)

0.438331 \tabularnewline TEST 1 (small sample)

-1.001282 & TEST 1 (small sample)

-0.945883 \tabularnewline TEST 1 Prob. (small sample)

0.312400 & TEST 1 Prob. (small sample)

0.342200 \tabularnewline Observations

120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103548&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]

-4.624174[/C][C]FISHER 4th Cent. Mom.[/C]

149.545125[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.047693[/C][C]FISHER beta 2[/C]

2.552879[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.218387[/C][C]FISHER gamma 2[/C]

-0.447121[/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]

-0.976658[/C][C]FISHER Test 2[/C]

-0.999793[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.327000[/C][C]FISHER Test 2 Probability[/C]

0.317400[/C][/ROW] [ROW][C]Pearson 2[/C]

-0.020709[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

0.038172[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.050227[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.038172[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.048101[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.045953[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

0.038172[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.045953[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.052332[/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]

-0.221162[/C][C]Kurtosis (small sample)[/C]

-0.414609[/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]

-1.001282[/C][C]TEST 1 (small sample)[/C]

-0.945883[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.312400[/C][C]TEST 1 Prob. (small sample)[/C]

0.342200[/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=103548&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103548&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.	-4.624174	FISHER 4th Cent. Mom.	149.545125
FISHER beta 1	0.047693	FISHER beta 2	2.552879
FISHER gamma 1	-0.218387	FISHER gamma 2	-0.447121
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.976658	FISHER Test 2	-0.999793
FISHER Test 1 Probability	0.327000	FISHER Test 2 Probability	0.317400
Pearson 2	-0.020709
Yule using Quartile definition:Weighted Average at Xnp	0.038172
Yule using Quartile definition:Weighted Average at X(n+1)p	0.050227
Yule using Quartile definition:Empirical Distribution Function	0.038172
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.048101
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.045953
Yule using Quartile definition:Closest Observation	0.038172
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.045953
Yule using Quartile definition:MS Excel (old versions)	0.052332
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.221162	Kurtosis (small sample)	-0.414609
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-1.001282	TEST 1 (small sample)	-0.945883
TEST 1 Prob. (small sample)	0.312400	TEST 1 Prob. (small sample)	0.342200
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)	-0.221200	0.312400	Trim. Kurtosis (0/120)	-0.414600	0.342200
Trim. Skewness (1/120)	-0.268500	0.226200	Trim. Kurtosis (1/120)	-0.573500	0.193600
Trim. Skewness (2/120)	-0.259700	0.246000	Trim. Kurtosis (2/120)	-0.671000	0.131000
Trim. Skewness (3/120)	-0.267000	0.238000	Trim. Kurtosis (3/120)	-0.695900	0.121200
Trim. Skewness (4/120)	-0.253800	0.262800	Trim. Kurtosis (4/120)	-0.716800	0.111800
Trim. Skewness (5/120)	-0.234300	0.307800	Trim. Kurtosis (5/120)	-0.753300	0.099000
Trim. Skewness (6/120)	-0.220600	0.342200	Trim. Kurtosis (6/120)	-0.782600	0.089200
Trim. Skewness (7/120)	-0.211300	0.362800	Trim. Kurtosis (7/120)	-0.794900	0.087200
Trim. Skewness (8/120)	-0.197300	0.400800	Trim. Kurtosis (8/120)	-0.804100	0.085400
Trim. Skewness (9/120)	-0.180500	0.447200	Trim. Kurtosis (9/120)	-0.825100	0.080200
Trim. Skewness (10/120)	-0.161900	0.496400	Trim. Kurtosis (10/120)	-0.857900	0.071800
Trim. Skewness (11/120)	-0.148700	0.535200	Trim. Kurtosis (11/120)	-0.891200	0.064400
Trim. Skewness (12/120)	-0.134400	0.582400	Trim. Kurtosis (12/120)	-0.945300	0.052400
Trim. Skewness (13/120)	-0.133300	0.589200	Trim. Kurtosis (13/120)	-0.986600	0.044400
Trim. Skewness (14/120)	-0.135900	0.582400	Trim. Kurtosis (14/120)	-1.011700	0.041400
Trim. Skewness (15/120)	-0.138900	0.582400	Trim. Kurtosis (15/120)	-1.036500	0.038400
Trim. Skewness (16/120)	-0.133900	0.596200	Trim. Kurtosis (16/120)	-1.068200	0.034800
Trim. Skewness (17/120)	-0.111000	0.667200	Trim. Kurtosis (17/120)	-1.096500	0.032400
Trim. Skewness (18/120)	-0.090500	0.726400	Trim. Kurtosis (18/120)	-1.108600	0.032400
Trim. Skewness (19/120)	-0.066100	0.802600	Trim. Kurtosis (19/120)	-1.132900	0.030800
Trim. Skewness (20/120)	-0.044100	0.865000	Trim. Kurtosis (20/120)	-1.153500	0.030000
Trim. Skewness (21/120)	-0.021300	0.936200	Trim. Kurtosis (21/120)	-1.180300	0.027800
Trim. Skewness (22/120)	-0.000100	0.992000	Trim. Kurtosis (22/120)	-1.205300	0.026400
Trim. Skewness (23/120)	0.015000	0.952200	Trim. Kurtosis (23/120)	-1.209500	0.027800
Trim. Skewness (24/120)	0.033600	0.904400	Trim. Kurtosis (24/120)	-1.216900	0.029200
Trim. Skewness (25/120)	0.058400	0.833600	Trim. Kurtosis (25/120)	-1.225000	0.030000
Trim. Skewness (26/120)	0.076800	0.787200	Trim. Kurtosis (26/120)	-1.227500	0.032400
Trim. Skewness (27/120)	0.086800	0.764200	Trim. Kurtosis (27/120)	-1.223800	0.034800
Trim. Skewness (28/120)	0.098100	0.741400	Trim. Kurtosis (28/120)	-1.232700	0.036600
Trim. Skewness (29/120)	0.116500	0.696600	Trim. Kurtosis (29/120)	-1.239900	0.038400
Trim. Skewness (30/120)	0.139000	0.645600	Trim. Kurtosis (30/120)	-1.243200	0.040400
Trim. Skewness (31/120)	0.170700	0.582400	Trim. Kurtosis (31/120)	-1.256500	0.041400
Trim. Skewness (32/120)	0.203100	0.522200	Trim. Kurtosis (32/120)	-1.262900	0.043400
Trim. Skewness (33/120)	0.232700	0.471600	Trim. Kurtosis (33/120)	-1.254000	0.048800
Trim. Skewness (34/120)	0.259700	0.429600	Trim. Kurtosis (34/120)	-1.230800	0.057400
Trim. Skewness (35/120)	0.284200	0.395400	Trim. Kurtosis (35/120)	-1.203400	0.068800
Trim. Skewness (36/120)	0.296100	0.384400	Trim. Kurtosis (36/120)	-1.168200	0.081800
Trim. Skewness (37/120)	0.316800	0.362800	Trim. Kurtosis (37/120)	-1.125500	0.101000
Trim. Skewness (38/120)	0.348200	0.327000	Trim. Kurtosis (38/120)	-1.070500	0.126000
Trim. Skewness (39/120)	0.382400	0.293800	Trim. Kurtosis (39/120)	-1.016700	0.155600
Trim. Skewness (40/120)	0.422900	0.254200	Trim. Kurtosis (40/120)	-0.945000	0.197000

\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)

-0.221200

0.312400 & Trim. Kurtosis (0/120)

-0.414600

0.342200 \tabularnewline Trim. Skewness (1/120)

-0.268500

0.226200 & Trim. Kurtosis (1/120)

-0.573500

0.193600 \tabularnewline Trim. Skewness (2/120)

-0.259700

0.246000 & Trim. Kurtosis (2/120)

-0.671000

0.131000 \tabularnewline Trim. Skewness (3/120)

-0.267000

0.238000 & Trim. Kurtosis (3/120)

-0.695900

0.121200 \tabularnewline Trim. Skewness (4/120)

-0.253800

0.262800 & Trim. Kurtosis (4/120)

-0.716800

0.111800 \tabularnewline Trim. Skewness (5/120)

-0.234300

0.307800 & Trim. Kurtosis (5/120)

-0.753300

0.099000 \tabularnewline Trim. Skewness (6/120)

-0.220600

0.342200 & Trim. Kurtosis (6/120)

-0.782600

0.089200 \tabularnewline Trim. Skewness (7/120)

-0.211300

0.362800 & Trim. Kurtosis (7/120)

-0.794900

0.087200 \tabularnewline Trim. Skewness (8/120)

-0.197300

0.400800 & Trim. Kurtosis (8/120)

-0.804100

0.085400 \tabularnewline Trim. Skewness (9/120)

-0.180500

0.447200 & Trim. Kurtosis (9/120)

-0.825100

0.080200 \tabularnewline Trim. Skewness (10/120)

-0.161900

0.496400 & Trim. Kurtosis (10/120)

-0.857900

0.071800 \tabularnewline Trim. Skewness (11/120)

-0.148700

0.535200 & Trim. Kurtosis (11/120)

-0.891200

0.064400 \tabularnewline Trim. Skewness (12/120)

-0.134400

0.582400 & Trim. Kurtosis (12/120)

-0.945300

0.052400 \tabularnewline Trim. Skewness (13/120)

-0.133300

0.589200 & Trim. Kurtosis (13/120)

-0.986600

0.044400 \tabularnewline Trim. Skewness (14/120)

-0.135900

0.582400 & Trim. Kurtosis (14/120)

-1.011700

0.041400 \tabularnewline Trim. Skewness (15/120)

-0.138900

0.582400 & Trim. Kurtosis (15/120)

-1.036500

0.038400 \tabularnewline Trim. Skewness (16/120)

-0.133900

0.596200 & Trim. Kurtosis (16/120)

-1.068200

0.034800 \tabularnewline Trim. Skewness (17/120)

-0.111000

0.667200 & Trim. Kurtosis (17/120)

-1.096500

0.032400 \tabularnewline Trim. Skewness (18/120)

-0.090500

0.726400 & Trim. Kurtosis (18/120)

-1.108600

0.032400 \tabularnewline Trim. Skewness (19/120)

-0.066100

0.802600 & Trim. Kurtosis (19/120)

-1.132900

0.030800 \tabularnewline Trim. Skewness (20/120)

-0.044100

0.865000 & Trim. Kurtosis (20/120)

-1.153500

0.030000 \tabularnewline Trim. Skewness (21/120)

-0.021300

0.936200 & Trim. Kurtosis (21/120)

-1.180300

0.027800 \tabularnewline Trim. Skewness (22/120)

-0.000100

0.992000 & Trim. Kurtosis (22/120)

-1.205300

0.026400 \tabularnewline Trim. Skewness (23/120)

0.015000

0.952200 & Trim. Kurtosis (23/120)

-1.209500

0.027800 \tabularnewline Trim. Skewness (24/120)

0.033600

0.904400 & Trim. Kurtosis (24/120)

-1.216900

0.029200 \tabularnewline Trim. Skewness (25/120)

0.058400

0.833600 & Trim. Kurtosis (25/120)

-1.225000

0.030000 \tabularnewline Trim. Skewness (26/120)

0.076800

0.787200 & Trim. Kurtosis (26/120)

-1.227500

0.032400 \tabularnewline Trim. Skewness (27/120)

0.086800

0.764200 & Trim. Kurtosis (27/120)

-1.223800

0.034800 \tabularnewline Trim. Skewness (28/120)

0.098100

0.741400 & Trim. Kurtosis (28/120)

-1.232700

0.036600 \tabularnewline Trim. Skewness (29/120)

0.116500

0.696600 & Trim. Kurtosis (29/120)

-1.239900

0.038400 \tabularnewline Trim. Skewness (30/120)

0.139000

0.645600 & Trim. Kurtosis (30/120)

-1.243200

0.040400 \tabularnewline Trim. Skewness (31/120)

0.170700

0.582400 & Trim. Kurtosis (31/120)

-1.256500

0.041400 \tabularnewline Trim. Skewness (32/120)

0.203100

0.522200 & Trim. Kurtosis (32/120)

-1.262900

0.043400 \tabularnewline Trim. Skewness (33/120)

0.232700

0.471600 & Trim. Kurtosis (33/120)

-1.254000

0.048800 \tabularnewline Trim. Skewness (34/120)

0.259700

0.429600 & Trim. Kurtosis (34/120)

-1.230800

0.057400 \tabularnewline Trim. Skewness (35/120)

0.284200

0.395400 & Trim. Kurtosis (35/120)

-1.203400

0.068800 \tabularnewline Trim. Skewness (36/120)

0.296100

0.384400 & Trim. Kurtosis (36/120)

-1.168200

0.081800 \tabularnewline Trim. Skewness (37/120)

0.316800

0.362800 & Trim. Kurtosis (37/120)

-1.125500

0.101000 \tabularnewline Trim. Skewness (38/120)

0.348200

0.327000 & Trim. Kurtosis (38/120)

-1.070500

0.126000 \tabularnewline Trim. Skewness (39/120)

0.382400

0.293800 & Trim. Kurtosis (39/120)

-1.016700

0.155600 \tabularnewline Trim. Skewness (40/120)

0.422900

0.254200 & Trim. Kurtosis (40/120)

-0.945000

0.197000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103548&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]

-0.221200[/C]

0.312400[/C][C]Trim. Kurtosis (0/120)[/C]

-0.414600[/C]

0.342200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]

-0.268500[/C]

0.226200[/C][C]Trim. Kurtosis (1/120)[/C]

-0.573500[/C]

0.193600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]

-0.259700[/C]

0.246000[/C][C]Trim. Kurtosis (2/120)[/C]

-0.671000[/C]

0.131000[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]

-0.267000[/C]

0.238000[/C][C]Trim. Kurtosis (3/120)[/C]

-0.695900[/C]

0.121200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]

-0.253800[/C]

0.262800[/C][C]Trim. Kurtosis (4/120)[/C]

-0.716800[/C]

0.111800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]

-0.234300[/C]

0.307800[/C][C]Trim. Kurtosis (5/120)[/C]

-0.753300[/C]

0.099000[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]

-0.220600[/C]

0.342200[/C][C]Trim. Kurtosis (6/120)[/C]

-0.782600[/C]

0.089200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]

-0.211300[/C]

0.362800[/C][C]Trim. Kurtosis (7/120)[/C]

-0.794900[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]

-0.197300[/C]

0.400800[/C][C]Trim. Kurtosis (8/120)[/C]

-0.804100[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]

-0.180500[/C]

0.447200[/C][C]Trim. Kurtosis (9/120)[/C]

-0.825100[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]

-0.161900[/C]

0.496400[/C][C]Trim. Kurtosis (10/120)[/C]

-0.857900[/C]

0.071800[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]

-0.148700[/C]

0.535200[/C][C]Trim. Kurtosis (11/120)[/C]

-0.891200[/C]

0.064400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]

-0.134400[/C]

0.582400[/C][C]Trim. Kurtosis (12/120)[/C]

-0.945300[/C]

0.052400[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]

-0.133300[/C]

0.589200[/C][C]Trim. Kurtosis (13/120)[/C]

-0.986600[/C]

0.044400[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]

-0.135900[/C]

0.582400[/C][C]Trim. Kurtosis (14/120)[/C]

-1.011700[/C]

0.041400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]

-0.138900[/C]

0.582400[/C][C]Trim. Kurtosis (15/120)[/C]

-1.036500[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]

-0.133900[/C]

0.596200[/C][C]Trim. Kurtosis (16/120)[/C]

-1.068200[/C]

0.034800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]

-0.111000[/C]

0.667200[/C][C]Trim. Kurtosis (17/120)[/C]

-1.096500[/C]

0.032400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]

-0.090500[/C]

0.726400[/C][C]Trim. Kurtosis (18/120)[/C]

-1.108600[/C]

0.032400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]

-0.066100[/C]

0.802600[/C][C]Trim. Kurtosis (19/120)[/C]

-1.132900[/C]

0.030800[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]

-0.044100[/C]

0.865000[/C][C]Trim. Kurtosis (20/120)[/C]

-1.153500[/C]

0.030000[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]

-0.021300[/C]

0.936200[/C][C]Trim. Kurtosis (21/120)[/C]

-1.180300[/C]

0.027800[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]

-0.000100[/C]

0.992000[/C][C]Trim. Kurtosis (22/120)[/C]

-1.205300[/C]

0.026400[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]

0.015000[/C]

0.952200[/C][C]Trim. Kurtosis (23/120)[/C]

-1.209500[/C]

0.027800[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]

0.033600[/C]

0.904400[/C][C]Trim. Kurtosis (24/120)[/C]

-1.216900[/C]

0.029200[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]

0.058400[/C]

0.833600[/C][C]Trim. Kurtosis (25/120)[/C]

-1.225000[/C]

0.030000[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]

0.076800[/C]

0.787200[/C][C]Trim. Kurtosis (26/120)[/C]

-1.227500[/C]

0.032400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]

0.086800[/C]

0.764200[/C][C]Trim. Kurtosis (27/120)[/C]

-1.223800[/C]

0.034800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]

0.098100[/C]

0.741400[/C][C]Trim. Kurtosis (28/120)[/C]

-1.232700[/C]

0.036600[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]

0.116500[/C]

0.696600[/C][C]Trim. Kurtosis (29/120)[/C]

-1.239900[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]

0.139000[/C]

0.645600[/C][C]Trim. Kurtosis (30/120)[/C]

-1.243200[/C]

0.040400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]

0.170700[/C]

0.582400[/C][C]Trim. Kurtosis (31/120)[/C]

-1.256500[/C]

0.041400[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]

0.203100[/C]

0.522200[/C][C]Trim. Kurtosis (32/120)[/C]

-1.262900[/C]

0.043400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]

0.232700[/C]

0.471600[/C][C]Trim. Kurtosis (33/120)[/C]

-1.254000[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]

0.259700[/C]

0.429600[/C][C]Trim. Kurtosis (34/120)[/C]

-1.230800[/C]

0.057400[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]

0.284200[/C]

0.395400[/C][C]Trim. Kurtosis (35/120)[/C]

-1.203400[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]

0.296100[/C]

0.384400[/C][C]Trim. Kurtosis (36/120)[/C]

-1.168200[/C]

0.081800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]

0.316800[/C]

0.362800[/C][C]Trim. Kurtosis (37/120)[/C]

-1.125500[/C]

0.101000[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]

0.348200[/C]

0.327000[/C][C]Trim. Kurtosis (38/120)[/C]

-1.070500[/C]

0.126000[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]

0.382400[/C]

0.293800[/C][C]Trim. Kurtosis (39/120)[/C]

-1.016700[/C]

0.155600[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]

0.422900[/C]

0.254200[/C][C]Trim. Kurtosis (40/120)[/C]

-0.945000[/C]

0.197000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103548&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103548&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)	-0.221200	0.312400	Trim. Kurtosis (0/120)	-0.414600	0.342200
Trim. Skewness (1/120)	-0.268500	0.226200	Trim. Kurtosis (1/120)	-0.573500	0.193600
Trim. Skewness (2/120)	-0.259700	0.246000	Trim. Kurtosis (2/120)	-0.671000	0.131000
Trim. Skewness (3/120)	-0.267000	0.238000	Trim. Kurtosis (3/120)	-0.695900	0.121200
Trim. Skewness (4/120)	-0.253800	0.262800	Trim. Kurtosis (4/120)	-0.716800	0.111800
Trim. Skewness (5/120)	-0.234300	0.307800	Trim. Kurtosis (5/120)	-0.753300	0.099000
Trim. Skewness (6/120)	-0.220600	0.342200	Trim. Kurtosis (6/120)	-0.782600	0.089200
Trim. Skewness (7/120)	-0.211300	0.362800	Trim. Kurtosis (7/120)	-0.794900	0.087200
Trim. Skewness (8/120)	-0.197300	0.400800	Trim. Kurtosis (8/120)	-0.804100	0.085400
Trim. Skewness (9/120)	-0.180500	0.447200	Trim. Kurtosis (9/120)	-0.825100	0.080200
Trim. Skewness (10/120)	-0.161900	0.496400	Trim. Kurtosis (10/120)	-0.857900	0.071800
Trim. Skewness (11/120)	-0.148700	0.535200	Trim. Kurtosis (11/120)	-0.891200	0.064400
Trim. Skewness (12/120)	-0.134400	0.582400	Trim. Kurtosis (12/120)	-0.945300	0.052400
Trim. Skewness (13/120)	-0.133300	0.589200	Trim. Kurtosis (13/120)	-0.986600	0.044400
Trim. Skewness (14/120)	-0.135900	0.582400	Trim. Kurtosis (14/120)	-1.011700	0.041400
Trim. Skewness (15/120)	-0.138900	0.582400	Trim. Kurtosis (15/120)	-1.036500	0.038400
Trim. Skewness (16/120)	-0.133900	0.596200	Trim. Kurtosis (16/120)	-1.068200	0.034800
Trim. Skewness (17/120)	-0.111000	0.667200	Trim. Kurtosis (17/120)	-1.096500	0.032400
Trim. Skewness (18/120)	-0.090500	0.726400	Trim. Kurtosis (18/120)	-1.108600	0.032400
Trim. Skewness (19/120)	-0.066100	0.802600	Trim. Kurtosis (19/120)	-1.132900	0.030800
Trim. Skewness (20/120)	-0.044100	0.865000	Trim. Kurtosis (20/120)	-1.153500	0.030000
Trim. Skewness (21/120)	-0.021300	0.936200	Trim. Kurtosis (21/120)	-1.180300	0.027800
Trim. Skewness (22/120)	-0.000100	0.992000	Trim. Kurtosis (22/120)	-1.205300	0.026400
Trim. Skewness (23/120)	0.015000	0.952200	Trim. Kurtosis (23/120)	-1.209500	0.027800
Trim. Skewness (24/120)	0.033600	0.904400	Trim. Kurtosis (24/120)	-1.216900	0.029200
Trim. Skewness (25/120)	0.058400	0.833600	Trim. Kurtosis (25/120)	-1.225000	0.030000
Trim. Skewness (26/120)	0.076800	0.787200	Trim. Kurtosis (26/120)	-1.227500	0.032400
Trim. Skewness (27/120)	0.086800	0.764200	Trim. Kurtosis (27/120)	-1.223800	0.034800
Trim. Skewness (28/120)	0.098100	0.741400	Trim. Kurtosis (28/120)	-1.232700	0.036600
Trim. Skewness (29/120)	0.116500	0.696600	Trim. Kurtosis (29/120)	-1.239900	0.038400
Trim. Skewness (30/120)	0.139000	0.645600	Trim. Kurtosis (30/120)	-1.243200	0.040400
Trim. Skewness (31/120)	0.170700	0.582400	Trim. Kurtosis (31/120)	-1.256500	0.041400
Trim. Skewness (32/120)	0.203100	0.522200	Trim. Kurtosis (32/120)	-1.262900	0.043400
Trim. Skewness (33/120)	0.232700	0.471600	Trim. Kurtosis (33/120)	-1.254000	0.048800
Trim. Skewness (34/120)	0.259700	0.429600	Trim. Kurtosis (34/120)	-1.230800	0.057400
Trim. Skewness (35/120)	0.284200	0.395400	Trim. Kurtosis (35/120)	-1.203400	0.068800
Trim. Skewness (36/120)	0.296100	0.384400	Trim. Kurtosis (36/120)	-1.168200	0.081800
Trim. Skewness (37/120)	0.316800	0.362800	Trim. Kurtosis (37/120)	-1.125500	0.101000
Trim. Skewness (38/120)	0.348200	0.327000	Trim. Kurtosis (38/120)	-1.070500	0.126000
Trim. Skewness (39/120)	0.382400	0.293800	Trim. Kurtosis (39/120)	-1.016700	0.155600
Trim. Skewness (40/120)	0.422900	0.254200	Trim. Kurtosis (40/120)	-0.945000	0.197000

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