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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 14:50:15 +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/t12911285010hdc8mhalz8qjjb.htm/, Retrieved Mon, 29 Apr 2024 16:32:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103556, Retrieved Mon, 29 Apr 2024 16:32:14 +0000

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104

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-       [Skewness and Kurtosis] [] [2010-11-30 14:50:15] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]

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50.34945439
54.99508055
54.14752798
53.14449438
50.7417477
51.05481298
44.95926712
54.24231413
47.15453029
53.17036238
51.98845354
50.35038931
47.72500239
54.29908454
51.7616041
45.42891816
51.19703893
51.25358303
51.95197866
50.55992823
42.450015
48.34724749
49.38174237
53.60239008
52.07744649
48.26866982
45.85518522
46.68725417
51.08467156
54.86581847
52.07523536
47.30181207
51.16871794
49.86244459
46.43075784
48.96585742
51.15268044
56.92110321
47.47522106
49.60731548
46.4147769
49.4859079
49.38340847
50.75234211
46.08841131
47.27244614
50.69121246
47.07137205
50.74489643
49.5353195
52.05628877
49.5960701
51.12621515
52.46998609
51.54168213
49.52130341
48.96434033
51.75417102
55.94625952
53.57030174
53.65628616
47.40418012
50.66239198
46.57914989
51.86150723
54.20476726
49.2601001
52.30366953
49.61402045
53.0556523
50.6621663
55.0751826
52.7959368
48.44251699
52.81324424
48.90854102
47.37316203
55.91623164
43.65285969
49.06745879
53.83207968
48.38699089
47.65443659
47.67659646
53.64797188
52.28318969
50.32333013
52.52924907
48.00117009
48.35813162
48.59949638
48.56566015
46.84249795
53.41114585
44.75590737
48.30660942
50.28621799
48.57643312
49.48626437
49.03995328
50.43969492
49.5501692
50.72668499
45.68074179
50.27845523
50.03217456
54.22631773
47.76638717
48.73194456
55.05311338
53.16800559
56.14627334
54.88100067
46.97540185
50.48109015
50.48156631
50.56818359
51.04605266
50.14005954
44.04230592

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-1.617791	FISHER 4th Cent. Mom.	188.654965
FISHER beta 1	0.004535	FISHER beta 2	2.721606
FISHER gamma 1	-0.067343	FISHER gamma 2	-0.278394
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.301165	FISHER Test 2	-0.622509
FISHER Test 1 Probability	0.756600	FISHER Test 2 Probability	0.528600
Pearson 2	-0.083336
Yule using Quartile definition:Weighted Average at Xnp	-0.073763
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.030430
Yule using Quartile definition:Empirical Distribution Function	-0.073763
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.043587
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.057123
Yule using Quartile definition:Closest Observation	-0.073763
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.057123
Yule using Quartile definition:MS Excel (old versions)	-0.017634
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.068198	Kurtosis (small sample)	-0.238635
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.308758	TEST 1 (small sample)	-0.544419
TEST 1 Prob. (small sample)	0.756600	TEST 1 Prob. (small sample)	0.582400
Observations	120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-1.617791 & FISHER 4th Cent. Mom.

188.654965 \tabularnewline FISHER beta 1

0.004535 & FISHER beta 2

2.721606 \tabularnewline FISHER gamma 1

-0.067343 & FISHER gamma 2

-0.278394 \tabularnewline FISHER gamma 1 (S.E.)

0.223607 & FISHER gamma 2 (S.E.)

0.447214 \tabularnewline FISHER Test 1

-0.301165 & FISHER Test 2

-0.622509 \tabularnewline FISHER Test 1 Probability

0.756600 & FISHER Test 2 Probability

0.528600 \tabularnewline Pearson 2

-0.083336 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.073763 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

-0.030430 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

-0.073763 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

-0.043587 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

-0.057123 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.073763 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

-0.057123 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

-0.017634 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.068198 & Kurtosis (small sample)

-0.238635 \tabularnewline Skewness S.E. (small sample)

0.220879 & Kurtosis S.E. (small sample)

0.438331 \tabularnewline TEST 1 (small sample)

-0.308758 & TEST 1 (small sample)

-0.544419 \tabularnewline TEST 1 Prob. (small sample)

0.756600 & TEST 1 Prob. (small sample)

0.582400 \tabularnewline Observations

120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103556&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]

-1.617791[/C][C]FISHER 4th Cent. Mom.[/C]

188.654965[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.004535[/C][C]FISHER beta 2[/C]

2.721606[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.067343[/C][C]FISHER gamma 2[/C]

-0.278394[/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]

-0.301165[/C][C]FISHER Test 2[/C]

-0.622509[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.756600[/C][C]FISHER Test 2 Probability[/C]

0.528600[/C][/ROW] [ROW][C]Pearson 2[/C]

-0.083336[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.073763[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

-0.030430[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

-0.073763[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

-0.043587[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

-0.057123[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.073763[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

-0.057123[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

-0.017634[/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]

-0.068198[/C][C]Kurtosis (small sample)[/C]

-0.238635[/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]

-0.308758[/C][C]TEST 1 (small sample)[/C]

-0.544419[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.756600[/C][C]TEST 1 Prob. (small sample)[/C]

0.582400[/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=103556&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103556&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.	-1.617791	FISHER 4th Cent. Mom.	188.654965
FISHER beta 1	0.004535	FISHER beta 2	2.721606
FISHER gamma 1	-0.067343	FISHER gamma 2	-0.278394
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.301165	FISHER Test 2	-0.622509
FISHER Test 1 Probability	0.756600	FISHER Test 2 Probability	0.528600
Pearson 2	-0.083336
Yule using Quartile definition:Weighted Average at Xnp	-0.073763
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.030430
Yule using Quartile definition:Empirical Distribution Function	-0.073763
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.043587
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.057123
Yule using Quartile definition:Closest Observation	-0.073763
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.057123
Yule using Quartile definition:MS Excel (old versions)	-0.017634
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.068198	Kurtosis (small sample)	-0.238635
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.308758	TEST 1 (small sample)	-0.544419
TEST 1 Prob. (small sample)	0.756600	TEST 1 Prob. (small sample)	0.582400
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)	-0.068200	0.756600	Trim. Kurtosis (0/120)	-0.238600	0.582400
Trim. Skewness (1/120)	-0.015200	0.944200	Trim. Kurtosis (1/120)	-0.465800	0.289200
Trim. Skewness (2/120)	0.016900	0.936200	Trim. Kurtosis (2/120)	-0.559500	0.207600
Trim. Skewness (3/120)	0.046200	0.833600	Trim. Kurtosis (3/120)	-0.654900	0.144200
Trim. Skewness (4/120)	0.048200	0.825800	Trim. Kurtosis (4/120)	-0.730000	0.105200
Trim. Skewness (5/120)	0.075500	0.741400	Trim. Kurtosis (5/120)	-0.766200	0.093000
Trim. Skewness (6/120)	0.088200	0.704000	Trim. Kurtosis (6/120)	-0.788400	0.087200
Trim. Skewness (7/120)	0.094700	0.681800	Trim. Kurtosis (7/120)	-0.811500	0.080200
Trim. Skewness (8/120)	0.099300	0.674400	Trim. Kurtosis (8/120)	-0.837400	0.073400
Trim. Skewness (9/120)	0.094200	0.689200	Trim. Kurtosis (9/120)	-0.871700	0.065800
Trim. Skewness (10/120)	0.098500	0.681800	Trim. Kurtosis (10/120)	-0.863300	0.070200
Trim. Skewness (11/120)	0.104900	0.660000	Trim. Kurtosis (11/120)	-0.861200	0.073400
Trim. Skewness (12/120)	0.106000	0.660000	Trim. Kurtosis (12/120)	-0.862800	0.076800
Trim. Skewness (13/120)	0.102500	0.674400	Trim. Kurtosis (13/120)	-0.872500	0.075000
Trim. Skewness (14/120)	0.092600	0.711400	Trim. Kurtosis (14/120)	-0.887000	0.073400
Trim. Skewness (15/120)	0.090500	0.718800	Trim. Kurtosis (15/120)	-0.881300	0.078400
Trim. Skewness (16/120)	0.091600	0.718800	Trim. Kurtosis (16/120)	-0.867500	0.087200
Trim. Skewness (17/120)	0.088300	0.733800	Trim. Kurtosis (17/120)	-0.859700	0.093000
Trim. Skewness (18/120)	0.079300	0.756600	Trim. Kurtosis (18/120)	-0.854700	0.099000
Trim. Skewness (19/120)	0.067100	0.794800	Trim. Kurtosis (19/120)	-0.862900	0.099000
Trim. Skewness (20/120)	0.057800	0.825800	Trim. Kurtosis (20/120)	-0.868000	0.101000
Trim. Skewness (21/120)	0.061400	0.818000	Trim. Kurtosis (21/120)	-0.862700	0.107400
Trim. Skewness (22/120)	0.059900	0.825800	Trim. Kurtosis (22/120)	-0.871800	0.107400
Trim. Skewness (23/120)	0.044000	0.872800	Trim. Kurtosis (23/120)	-0.887600	0.107400
Trim. Skewness (24/120)	0.028900	0.912400	Trim. Kurtosis (24/120)	-0.920700	0.099000
Trim. Skewness (25/120)	0.029400	0.912400	Trim. Kurtosis (25/120)	-0.943200	0.095000
Trim. Skewness (26/120)	0.026900	0.920400	Trim. Kurtosis (26/120)	-1.000600	0.080200
Trim. Skewness (27/120)	0.027400	0.920400	Trim. Kurtosis (27/120)	-1.012300	0.081800
Trim. Skewness (28/120)	0.007200	0.976000	Trim. Kurtosis (28/120)	-1.006200	0.087200
Trim. Skewness (29/120)	-0.004300	0.984000	Trim. Kurtosis (29/120)	-0.985300	0.099000
Trim. Skewness (30/120)	-0.022000	0.936200	Trim. Kurtosis (30/120)	-0.973100	0.109600
Trim. Skewness (31/120)	-0.020600	0.944200	Trim. Kurtosis (31/120)	-0.942600	0.126000
Trim. Skewness (32/120)	-0.021900	0.944200	Trim. Kurtosis (32/120)	-0.924300	0.138800
Trim. Skewness (33/120)	-0.029200	0.928200	Trim. Kurtosis (33/120)	-0.920000	0.149800
Trim. Skewness (34/120)	-0.047800	0.880800	Trim. Kurtosis (34/120)	-0.908200	0.161600
Trim. Skewness (35/120)	-0.069300	0.833600	Trim. Kurtosis (35/120)	-0.929300	0.158600
Trim. Skewness (36/120)	-0.083000	0.802600	Trim. Kurtosis (36/120)	-0.985500	0.141600
Trim. Skewness (37/120)	-0.108400	0.756600	Trim. Kurtosis (37/120)	-1.040600	0.128600
Trim. Skewness (38/120)	-0.190900	0.589200	Trim. Kurtosis (38/120)	-1.134400	0.105200
Trim. Skewness (39/120)	-0.249000	0.490200	Trim. Kurtosis (39/120)	-1.185300	0.097000
Trim. Skewness (40/120)	-0.240500	0.515600	Trim. Kurtosis (40/120)	-1.199700	0.101000

\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)

-0.068200

0.756600 & Trim. Kurtosis (0/120)

-0.238600

0.582400 \tabularnewline Trim. Skewness (1/120)

-0.015200

0.944200 & Trim. Kurtosis (1/120)

-0.465800

0.289200 \tabularnewline Trim. Skewness (2/120)

0.016900

0.936200 & Trim. Kurtosis (2/120)

-0.559500

0.207600 \tabularnewline Trim. Skewness (3/120)

0.046200

0.833600 & Trim. Kurtosis (3/120)

-0.654900

0.144200 \tabularnewline Trim. Skewness (4/120)

0.048200

0.825800 & Trim. Kurtosis (4/120)

-0.730000

0.105200 \tabularnewline Trim. Skewness (5/120)

0.075500

0.741400 & Trim. Kurtosis (5/120)

-0.766200

0.093000 \tabularnewline Trim. Skewness (6/120)

0.088200

0.704000 & Trim. Kurtosis (6/120)

-0.788400

0.087200 \tabularnewline Trim. Skewness (7/120)

0.094700

0.681800 & Trim. Kurtosis (7/120)

-0.811500

0.080200 \tabularnewline Trim. Skewness (8/120)

0.099300

0.674400 & Trim. Kurtosis (8/120)

-0.837400

0.073400 \tabularnewline Trim. Skewness (9/120)

0.094200

0.689200 & Trim. Kurtosis (9/120)

-0.871700

0.065800 \tabularnewline Trim. Skewness (10/120)

0.098500

0.681800 & Trim. Kurtosis (10/120)

-0.863300

0.070200 \tabularnewline Trim. Skewness (11/120)

0.104900

0.660000 & Trim. Kurtosis (11/120)

-0.861200

0.073400 \tabularnewline Trim. Skewness (12/120)

0.106000

0.660000 & Trim. Kurtosis (12/120)

-0.862800

0.076800 \tabularnewline Trim. Skewness (13/120)

0.102500

0.674400 & Trim. Kurtosis (13/120)

-0.872500

0.075000 \tabularnewline Trim. Skewness (14/120)

0.092600

0.711400 & Trim. Kurtosis (14/120)

-0.887000

0.073400 \tabularnewline Trim. Skewness (15/120)

0.090500

0.718800 & Trim. Kurtosis (15/120)

-0.881300

0.078400 \tabularnewline Trim. Skewness (16/120)

0.091600

0.718800 & Trim. Kurtosis (16/120)

-0.867500

0.087200 \tabularnewline Trim. Skewness (17/120)

0.088300

0.733800 & Trim. Kurtosis (17/120)

-0.859700

0.093000 \tabularnewline Trim. Skewness (18/120)

0.079300

0.756600 & Trim. Kurtosis (18/120)

-0.854700

0.099000 \tabularnewline Trim. Skewness (19/120)

0.067100

0.794800 & Trim. Kurtosis (19/120)

-0.862900

0.099000 \tabularnewline Trim. Skewness (20/120)

0.057800

0.825800 & Trim. Kurtosis (20/120)

-0.868000

0.101000 \tabularnewline Trim. Skewness (21/120)

0.061400

0.818000 & Trim. Kurtosis (21/120)

-0.862700

0.107400 \tabularnewline Trim. Skewness (22/120)

0.059900

0.825800 & Trim. Kurtosis (22/120)

-0.871800

0.107400 \tabularnewline Trim. Skewness (23/120)

0.044000

0.872800 & Trim. Kurtosis (23/120)

-0.887600

0.107400 \tabularnewline Trim. Skewness (24/120)

0.028900

0.912400 & Trim. Kurtosis (24/120)

-0.920700

0.099000 \tabularnewline Trim. Skewness (25/120)

0.029400

0.912400 & Trim. Kurtosis (25/120)

-0.943200

0.095000 \tabularnewline Trim. Skewness (26/120)

0.026900

0.920400 & Trim. Kurtosis (26/120)

-1.000600

0.080200 \tabularnewline Trim. Skewness (27/120)

0.027400

0.920400 & Trim. Kurtosis (27/120)

-1.012300

0.081800 \tabularnewline Trim. Skewness (28/120)

0.007200

0.976000 & Trim. Kurtosis (28/120)

-1.006200

0.087200 \tabularnewline Trim. Skewness (29/120)

-0.004300

0.984000 & Trim. Kurtosis (29/120)

-0.985300

0.099000 \tabularnewline Trim. Skewness (30/120)

-0.022000

0.936200 & Trim. Kurtosis (30/120)

-0.973100

0.109600 \tabularnewline Trim. Skewness (31/120)

-0.020600

0.944200 & Trim. Kurtosis (31/120)

-0.942600

0.126000 \tabularnewline Trim. Skewness (32/120)

-0.021900

0.944200 & Trim. Kurtosis (32/120)

-0.924300

0.138800 \tabularnewline Trim. Skewness (33/120)

-0.029200

0.928200 & Trim. Kurtosis (33/120)

-0.920000

0.149800 \tabularnewline Trim. Skewness (34/120)

-0.047800

0.880800 & Trim. Kurtosis (34/120)

-0.908200

0.161600 \tabularnewline Trim. Skewness (35/120)

-0.069300

0.833600 & Trim. Kurtosis (35/120)

-0.929300

0.158600 \tabularnewline Trim. Skewness (36/120)

-0.083000

0.802600 & Trim. Kurtosis (36/120)

-0.985500

0.141600 \tabularnewline Trim. Skewness (37/120)

-0.108400

0.756600 & Trim. Kurtosis (37/120)

-1.040600

0.128600 \tabularnewline Trim. Skewness (38/120)

-0.190900

0.589200 & Trim. Kurtosis (38/120)

-1.134400

0.105200 \tabularnewline Trim. Skewness (39/120)

-0.249000

0.490200 & Trim. Kurtosis (39/120)

-1.185300

0.097000 \tabularnewline Trim. Skewness (40/120)

-0.240500

0.515600 & Trim. Kurtosis (40/120)

-1.199700

0.101000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103556&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]

-0.068200[/C]

0.756600[/C][C]Trim. Kurtosis (0/120)[/C]

-0.238600[/C]

0.582400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]

-0.015200[/C]

0.944200[/C][C]Trim. Kurtosis (1/120)[/C]

-0.465800[/C]

0.289200[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]

0.016900[/C]

0.936200[/C][C]Trim. Kurtosis (2/120)[/C]

-0.559500[/C]

0.207600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]

0.046200[/C]

0.833600[/C][C]Trim. Kurtosis (3/120)[/C]

-0.654900[/C]

0.144200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]

0.048200[/C]

0.825800[/C][C]Trim. Kurtosis (4/120)[/C]

-0.730000[/C]

0.105200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]

0.075500[/C]

0.741400[/C][C]Trim. Kurtosis (5/120)[/C]

-0.766200[/C]

0.093000[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]

0.088200[/C]

0.704000[/C][C]Trim. Kurtosis (6/120)[/C]

-0.788400[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]

0.094700[/C]

0.681800[/C][C]Trim. Kurtosis (7/120)[/C]

-0.811500[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]

0.099300[/C]

0.674400[/C][C]Trim. Kurtosis (8/120)[/C]

-0.837400[/C]

0.073400[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]

0.094200[/C]

0.689200[/C][C]Trim. Kurtosis (9/120)[/C]

-0.871700[/C]

0.065800[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]

0.098500[/C]

0.681800[/C][C]Trim. Kurtosis (10/120)[/C]

-0.863300[/C]

0.070200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]

0.104900[/C]

0.660000[/C][C]Trim. Kurtosis (11/120)[/C]

-0.861200[/C]

0.073400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]

0.106000[/C]

0.660000[/C][C]Trim. Kurtosis (12/120)[/C]

-0.862800[/C]

0.076800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]

0.102500[/C]

0.674400[/C][C]Trim. Kurtosis (13/120)[/C]

-0.872500[/C]

0.075000[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]

0.092600[/C]

0.711400[/C][C]Trim. Kurtosis (14/120)[/C]

-0.887000[/C]

0.073400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]

0.090500[/C]

0.718800[/C][C]Trim. Kurtosis (15/120)[/C]

-0.881300[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]

0.091600[/C]

0.718800[/C][C]Trim. Kurtosis (16/120)[/C]

-0.867500[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]

0.088300[/C]

0.733800[/C][C]Trim. Kurtosis (17/120)[/C]

-0.859700[/C]

0.093000[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]

0.079300[/C]

0.756600[/C][C]Trim. Kurtosis (18/120)[/C]

-0.854700[/C]

0.099000[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]

0.067100[/C]

0.794800[/C][C]Trim. Kurtosis (19/120)[/C]

-0.862900[/C]

0.099000[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]

0.057800[/C]

0.825800[/C][C]Trim. Kurtosis (20/120)[/C]

-0.868000[/C]

0.101000[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]

0.061400[/C]

0.818000[/C][C]Trim. Kurtosis (21/120)[/C]

-0.862700[/C]

0.107400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]

0.059900[/C]

0.825800[/C][C]Trim. Kurtosis (22/120)[/C]

-0.871800[/C]

0.107400[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]

0.044000[/C]

0.872800[/C][C]Trim. Kurtosis (23/120)[/C]

-0.887600[/C]

0.107400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]

0.028900[/C]

0.912400[/C][C]Trim. Kurtosis (24/120)[/C]

-0.920700[/C]

0.099000[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]

0.029400[/C]

0.912400[/C][C]Trim. Kurtosis (25/120)[/C]

-0.943200[/C]

0.095000[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]

0.026900[/C]

0.920400[/C][C]Trim. Kurtosis (26/120)[/C]

-1.000600[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]

0.027400[/C]

0.920400[/C][C]Trim. Kurtosis (27/120)[/C]

-1.012300[/C]

0.081800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]

0.007200[/C]

0.976000[/C][C]Trim. Kurtosis (28/120)[/C]

-1.006200[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]

-0.004300[/C]

0.984000[/C][C]Trim. Kurtosis (29/120)[/C]

-0.985300[/C]

0.099000[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]

-0.022000[/C]

0.936200[/C][C]Trim. Kurtosis (30/120)[/C]

-0.973100[/C]

0.109600[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]

-0.020600[/C]

0.944200[/C][C]Trim. Kurtosis (31/120)[/C]

-0.942600[/C]

0.126000[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]

-0.021900[/C]

0.944200[/C][C]Trim. Kurtosis (32/120)[/C]

-0.924300[/C]

0.138800[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]

-0.029200[/C]

0.928200[/C][C]Trim. Kurtosis (33/120)[/C]

-0.920000[/C]

0.149800[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]

-0.047800[/C]

0.880800[/C][C]Trim. Kurtosis (34/120)[/C]

-0.908200[/C]

0.161600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]

-0.069300[/C]

0.833600[/C][C]Trim. Kurtosis (35/120)[/C]

-0.929300[/C]

0.158600[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]

-0.083000[/C]

0.802600[/C][C]Trim. Kurtosis (36/120)[/C]

-0.985500[/C]

0.141600[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]

-0.108400[/C]

0.756600[/C][C]Trim. Kurtosis (37/120)[/C]

-1.040600[/C]

0.128600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]

-0.190900[/C]

0.589200[/C][C]Trim. Kurtosis (38/120)[/C]

-1.134400[/C]

0.105200[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]

-0.249000[/C]

0.490200[/C][C]Trim. Kurtosis (39/120)[/C]

-1.185300[/C]

0.097000[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]

-0.240500[/C]

0.515600[/C][C]Trim. Kurtosis (40/120)[/C]

-1.199700[/C]

0.101000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103556&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103556&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)	-0.068200	0.756600	Trim. Kurtosis (0/120)	-0.238600	0.582400
Trim. Skewness (1/120)	-0.015200	0.944200	Trim. Kurtosis (1/120)	-0.465800	0.289200
Trim. Skewness (2/120)	0.016900	0.936200	Trim. Kurtosis (2/120)	-0.559500	0.207600
Trim. Skewness (3/120)	0.046200	0.833600	Trim. Kurtosis (3/120)	-0.654900	0.144200
Trim. Skewness (4/120)	0.048200	0.825800	Trim. Kurtosis (4/120)	-0.730000	0.105200
Trim. Skewness (5/120)	0.075500	0.741400	Trim. Kurtosis (5/120)	-0.766200	0.093000
Trim. Skewness (6/120)	0.088200	0.704000	Trim. Kurtosis (6/120)	-0.788400	0.087200
Trim. Skewness (7/120)	0.094700	0.681800	Trim. Kurtosis (7/120)	-0.811500	0.080200
Trim. Skewness (8/120)	0.099300	0.674400	Trim. Kurtosis (8/120)	-0.837400	0.073400
Trim. Skewness (9/120)	0.094200	0.689200	Trim. Kurtosis (9/120)	-0.871700	0.065800
Trim. Skewness (10/120)	0.098500	0.681800	Trim. Kurtosis (10/120)	-0.863300	0.070200
Trim. Skewness (11/120)	0.104900	0.660000	Trim. Kurtosis (11/120)	-0.861200	0.073400
Trim. Skewness (12/120)	0.106000	0.660000	Trim. Kurtosis (12/120)	-0.862800	0.076800
Trim. Skewness (13/120)	0.102500	0.674400	Trim. Kurtosis (13/120)	-0.872500	0.075000
Trim. Skewness (14/120)	0.092600	0.711400	Trim. Kurtosis (14/120)	-0.887000	0.073400
Trim. Skewness (15/120)	0.090500	0.718800	Trim. Kurtosis (15/120)	-0.881300	0.078400
Trim. Skewness (16/120)	0.091600	0.718800	Trim. Kurtosis (16/120)	-0.867500	0.087200
Trim. Skewness (17/120)	0.088300	0.733800	Trim. Kurtosis (17/120)	-0.859700	0.093000
Trim. Skewness (18/120)	0.079300	0.756600	Trim. Kurtosis (18/120)	-0.854700	0.099000
Trim. Skewness (19/120)	0.067100	0.794800	Trim. Kurtosis (19/120)	-0.862900	0.099000
Trim. Skewness (20/120)	0.057800	0.825800	Trim. Kurtosis (20/120)	-0.868000	0.101000
Trim. Skewness (21/120)	0.061400	0.818000	Trim. Kurtosis (21/120)	-0.862700	0.107400
Trim. Skewness (22/120)	0.059900	0.825800	Trim. Kurtosis (22/120)	-0.871800	0.107400
Trim. Skewness (23/120)	0.044000	0.872800	Trim. Kurtosis (23/120)	-0.887600	0.107400
Trim. Skewness (24/120)	0.028900	0.912400	Trim. Kurtosis (24/120)	-0.920700	0.099000
Trim. Skewness (25/120)	0.029400	0.912400	Trim. Kurtosis (25/120)	-0.943200	0.095000
Trim. Skewness (26/120)	0.026900	0.920400	Trim. Kurtosis (26/120)	-1.000600	0.080200
Trim. Skewness (27/120)	0.027400	0.920400	Trim. Kurtosis (27/120)	-1.012300	0.081800
Trim. Skewness (28/120)	0.007200	0.976000	Trim. Kurtosis (28/120)	-1.006200	0.087200
Trim. Skewness (29/120)	-0.004300	0.984000	Trim. Kurtosis (29/120)	-0.985300	0.099000
Trim. Skewness (30/120)	-0.022000	0.936200	Trim. Kurtosis (30/120)	-0.973100	0.109600
Trim. Skewness (31/120)	-0.020600	0.944200	Trim. Kurtosis (31/120)	-0.942600	0.126000
Trim. Skewness (32/120)	-0.021900	0.944200	Trim. Kurtosis (32/120)	-0.924300	0.138800
Trim. Skewness (33/120)	-0.029200	0.928200	Trim. Kurtosis (33/120)	-0.920000	0.149800
Trim. Skewness (34/120)	-0.047800	0.880800	Trim. Kurtosis (34/120)	-0.908200	0.161600
Trim. Skewness (35/120)	-0.069300	0.833600	Trim. Kurtosis (35/120)	-0.929300	0.158600
Trim. Skewness (36/120)	-0.083000	0.802600	Trim. Kurtosis (36/120)	-0.985500	0.141600
Trim. Skewness (37/120)	-0.108400	0.756600	Trim. Kurtosis (37/120)	-1.040600	0.128600
Trim. Skewness (38/120)	-0.190900	0.589200	Trim. Kurtosis (38/120)	-1.134400	0.105200
Trim. Skewness (39/120)	-0.249000	0.490200	Trim. Kurtosis (39/120)	-1.185300	0.097000
Trim. Skewness (40/120)	-0.240500	0.515600	Trim. Kurtosis (40/120)	-1.199700	0.101000

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