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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 19:04:53 +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/t1291143784th1g5rgi4awm9ys.htm/, Retrieved Mon, 30 Dec 2024 17:13:54 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103764, Retrieved Mon, 30 Dec 2024 17:13:54 +0000

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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 19:04:53] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]

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Boxplots

0,3
0,3
0,3
0,33
0,33
0,35
0,36
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0,31
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Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	0.000042	FISHER 4th Cent. Mom.	0.000179
FISHER beta 1	0.002783	FISHER beta 2	2.392822
FISHER gamma 1	0.052753	FISHER gamma 2	-0.607178
FISHER gamma 1 (S.E.)	0.109545	FISHER gamma 2 (S.E.)	0.219089
FISHER Test 1	0.481571	FISHER Test 2	-2.771376
FISHER Test 1 Probability	0.624200	FISHER Test 2 Probability	0.005400
Pearson 2	-0.263645
Yule using Quartile definition:Weighted Average at Xnp	-0.142857
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.127273
Yule using Quartile definition:Empirical Distribution Function	-0.142857
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.111111
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.094340
Yule using Quartile definition:Closest Observation	-0.142857
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.094340
Yule using Quartile definition:MS Excel (old versions)	-0.142857
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	0.052912	Kurtosis (small sample)	-0.601197
Skewness S.E. (small sample)	0.109218	Kurtosis S.E. (small sample)	0.218006
TEST 1 (small sample)	0.484466	TEST 1 (small sample)	-2.757708
TEST 1 Prob. (small sample)	0.624200	TEST 1 Prob. (small sample)	0.005800
Observations	500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

0.000042 & FISHER 4th Cent. Mom.

0.000179 \tabularnewline FISHER beta 1

0.002783 & FISHER beta 2

2.392822 \tabularnewline FISHER gamma 1

0.052753 & FISHER gamma 2

-0.607178 \tabularnewline FISHER gamma 1 (S.E.)

0.109545 & FISHER gamma 2 (S.E.)

0.219089 \tabularnewline FISHER Test 1

0.481571 & FISHER Test 2

-2.771376 \tabularnewline FISHER Test 1 Probability

0.624200 & FISHER Test 2 Probability

0.005400 \tabularnewline Pearson 2

-0.263645 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.142857 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

-0.127273 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

-0.142857 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

-0.111111 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

-0.094340 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.142857 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

-0.094340 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

-0.142857 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

0.052912 & Kurtosis (small sample)

-0.601197 \tabularnewline Skewness S.E. (small sample)

0.109218 & Kurtosis S.E. (small sample)

0.218006 \tabularnewline TEST 1 (small sample)

0.484466 & TEST 1 (small sample)

-2.757708 \tabularnewline TEST 1 Prob. (small sample)

0.624200 & TEST 1 Prob. (small sample)

0.005800 \tabularnewline Observations

500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103764&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]

0.000042[/C][C]FISHER 4th Cent. Mom.[/C]

0.000179[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.002783[/C][C]FISHER beta 2[/C]

2.392822[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

0.052753[/C][C]FISHER gamma 2[/C]

-0.607178[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]

0.109545[/C][C]FISHER gamma 2 (S.E.)[/C]

0.219089[/C][/ROW] [ROW][C]FISHER Test 1[/C]

0.481571[/C][C]FISHER Test 2[/C]

-2.771376[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.624200[/C][C]FISHER Test 2 Probability[/C]

0.005400[/C][/ROW] [ROW][C]Pearson 2[/C]

-0.263645[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.142857[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

-0.127273[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

-0.142857[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

-0.111111[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

-0.094340[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.142857[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

-0.094340[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

-0.142857[/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]

0.052912[/C][C]Kurtosis (small sample)[/C]

-0.601197[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]

0.109218[/C][C]Kurtosis S.E. (small sample)[/C]

0.218006[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]

0.484466[/C][C]TEST 1 (small sample)[/C]

-2.757708[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.624200[/C][C]TEST 1 Prob. (small sample)[/C]

0.005800[/C][/ROW] [ROW][C]Observations[/C]

500[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103764&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103764&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.	0.000042	FISHER 4th Cent. Mom.	0.000179
FISHER beta 1	0.002783	FISHER beta 2	2.392822
FISHER gamma 1	0.052753	FISHER gamma 2	-0.607178
FISHER gamma 1 (S.E.)	0.109545	FISHER gamma 2 (S.E.)	0.219089
FISHER Test 1	0.481571	FISHER Test 2	-2.771376
FISHER Test 1 Probability	0.624200	FISHER Test 2 Probability	0.005400
Pearson 2	-0.263645
Yule using Quartile definition:Weighted Average at Xnp	-0.142857
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.127273
Yule using Quartile definition:Empirical Distribution Function	-0.142857
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.111111
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.094340
Yule using Quartile definition:Closest Observation	-0.142857
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.094340
Yule using Quartile definition:MS Excel (old versions)	-0.142857
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	0.052912	Kurtosis (small sample)	-0.601197
Skewness S.E. (small sample)	0.109218	Kurtosis S.E. (small sample)	0.218006
TEST 1 (small sample)	0.484466	TEST 1 (small sample)	-2.757708
TEST 1 Prob. (small sample)	0.624200	TEST 1 Prob. (small sample)	0.005800
Observations	500

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)	Value	Probability	Kurtosis Measure (small sample)	Value	Probability
Trim. Skewness (0/500)	0.052900	0.624200	Trim. Kurtosis (0/500)	-0.601200	0.005800
Trim. Skewness (1/500)	0.031700	0.764200	Trim. Kurtosis (1/500)	-0.635400	0.003600
Trim. Skewness (2/500)	0.013100	0.904400	Trim. Kurtosis (2/500)	-0.662700	0.002400
Trim. Skewness (3/500)	-0.006700	0.944200	Trim. Kurtosis (3/500)	-0.693600	0.001600
Trim. Skewness (4/500)	-0.020400	0.849200	Trim. Kurtosis (4/500)	-0.709000	0.001200
Trim. Skewness (5/500)	-0.035000	0.749000	Trim. Kurtosis (5/500)	-0.726600	0.001000
Trim. Skewness (6/500)	-0.047000	0.667200	Trim. Kurtosis (6/500)	-0.738600	0.000800
Trim. Skewness (7/500)	-0.056600	0.603000	Trim. Kurtosis (7/500)	-0.745600	0.000800
Trim. Skewness (8/500)	-0.066700	0.541800	Trim. Kurtosis (8/500)	-0.753900	0.000600
Trim. Skewness (9/500)	-0.074400	0.502800	Trim. Kurtosis (9/500)	-0.757700	0.000600
Trim. Skewness (10/500)	-0.082600	0.453200	Trim. Kurtosis (10/500)	-0.762500	0.000600
Trim. Skewness (11/500)	-0.091200	0.412200	Trim. Kurtosis (11/500)	-0.768400	0.000600
Trim. Skewness (12/500)	-0.100200	0.368200	Trim. Kurtosis (12/500)	-0.775600	0.000600
Trim. Skewness (13/500)	-0.111400	0.317400	Trim. Kurtosis (13/500)	-0.782200	0.000400
Trim. Skewness (14/500)	-0.123100	0.271400	Trim. Kurtosis (14/500)	-0.789900	0.000400
Trim. Skewness (15/500)	-0.135500	0.226200	Trim. Kurtosis (15/500)	-0.799100	0.000400
Trim. Skewness (16/500)	-0.148600	0.186800	Trim. Kurtosis (16/500)	-0.809800	0.000400
Trim. Skewness (17/500)	-0.159000	0.158600	Trim. Kurtosis (17/500)	-0.815400	0.000200
Trim. Skewness (18/500)	-0.170000	0.133600	Trim. Kurtosis (18/500)	-0.822100	0.000200
Trim. Skewness (19/500)	-0.178400	0.114200	Trim. Kurtosis (19/500)	-0.824300	0.000200
Trim. Skewness (20/500)	-0.187100	0.099000	Trim. Kurtosis (20/500)	-0.827300	0.000200
Trim. Skewness (21/500)	-0.193400	0.089200	Trim. Kurtosis (21/500)	-0.826600	0.000200
Trim. Skewness (22/500)	-0.200000	0.080200	Trim. Kurtosis (22/500)	-0.826400	0.000200
Trim. Skewness (23/500)	-0.206900	0.070200	Trim. Kurtosis (23/500)	-0.826900	0.000200
Trim. Skewness (24/500)	-0.211400	0.064400	Trim. Kurtosis (24/500)	-0.824200	0.000400
Trim. Skewness (25/500)	-0.216000	0.060200	Trim. Kurtosis (25/500)	-0.822000	0.000400
Trim. Skewness (26/500)	-0.220900	0.054800	Trim. Kurtosis (26/500)	-0.820200	0.000400
Trim. Skewness (27/500)	-0.225900	0.050000	Trim. Kurtosis (27/500)	-0.819000	0.000400
Trim. Skewness (28/500)	-0.231200	0.045600	Trim. Kurtosis (28/500)	-0.818300	0.000400
Trim. Skewness (29/500)	-0.236600	0.041400	Trim. Kurtosis (29/500)	-0.818300	0.000400
Trim. Skewness (30/500)	-0.242300	0.036600	Trim. Kurtosis (30/500)	-0.819100	0.000400
Trim. Skewness (31/500)	-0.245400	0.034800	Trim. Kurtosis (31/500)	-0.817000	0.000400
Trim. Skewness (32/500)	-0.248700	0.033200	Trim. Kurtosis (32/500)	-0.815300	0.000400
Trim. Skewness (33/500)	-0.252000	0.030800	Trim. Kurtosis (33/500)	-0.814300	0.000400
Trim. Skewness (34/500)	-0.255400	0.029200	Trim. Kurtosis (34/500)	-0.814000	0.000600
Trim. Skewness (35/500)	-0.258900	0.027800	Trim. Kurtosis (35/500)	-0.814400	0.000600
Trim. Skewness (36/500)	-0.262600	0.025800	Trim. Kurtosis (36/500)	-0.815600	0.000600
Trim. Skewness (37/500)	-0.266400	0.023800	Trim. Kurtosis (37/500)	-0.817800	0.000600
Trim. Skewness (38/500)	-0.270300	0.022000	Trim. Kurtosis (38/500)	-0.820900	0.000600
Trim. Skewness (39/500)	-0.274300	0.020800	Trim. Kurtosis (39/500)	-0.825200	0.000400
Trim. Skewness (40/500)	-0.275400	0.020400	Trim. Kurtosis (40/500)	-0.826900	0.000600

\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 (0/500)

0.052900

0.624200 & Trim. Kurtosis (0/500)

-0.601200

0.005800 \tabularnewline Trim. Skewness (1/500)

0.031700

0.764200 & Trim. Kurtosis (1/500)

-0.635400

0.003600 \tabularnewline Trim. Skewness (2/500)

0.013100

0.904400 & Trim. Kurtosis (2/500)

-0.662700

0.002400 \tabularnewline Trim. Skewness (3/500)

-0.006700

0.944200 & Trim. Kurtosis (3/500)

-0.693600

0.001600 \tabularnewline Trim. Skewness (4/500)

-0.020400

0.849200 & Trim. Kurtosis (4/500)

-0.709000

0.001200 \tabularnewline Trim. Skewness (5/500)

-0.035000

0.749000 & Trim. Kurtosis (5/500)

-0.726600

0.001000 \tabularnewline Trim. Skewness (6/500)

-0.047000

0.667200 & Trim. Kurtosis (6/500)

-0.738600

0.000800 \tabularnewline Trim. Skewness (7/500)

-0.056600

0.603000 & Trim. Kurtosis (7/500)

-0.745600

0.000800 \tabularnewline Trim. Skewness (8/500)

-0.066700

0.541800 & Trim. Kurtosis (8/500)

-0.753900

0.000600 \tabularnewline Trim. Skewness (9/500)

-0.074400

0.502800 & Trim. Kurtosis (9/500)

-0.757700

0.000600 \tabularnewline Trim. Skewness (10/500)

-0.082600

0.453200 & Trim. Kurtosis (10/500)

-0.762500

0.000600 \tabularnewline Trim. Skewness (11/500)

-0.091200

0.412200 & Trim. Kurtosis (11/500)

-0.768400

0.000600 \tabularnewline Trim. Skewness (12/500)

-0.100200

0.368200 & Trim. Kurtosis (12/500)

-0.775600

0.000600 \tabularnewline Trim. Skewness (13/500)

-0.111400

0.317400 & Trim. Kurtosis (13/500)

-0.782200

0.000400 \tabularnewline Trim. Skewness (14/500)

-0.123100

0.271400 & Trim. Kurtosis (14/500)

-0.789900

0.000400 \tabularnewline Trim. Skewness (15/500)

-0.135500

0.226200 & Trim. Kurtosis (15/500)

-0.799100

0.000400 \tabularnewline Trim. Skewness (16/500)

-0.148600

0.186800 & Trim. Kurtosis (16/500)

-0.809800

0.000400 \tabularnewline Trim. Skewness (17/500)

-0.159000

0.158600 & Trim. Kurtosis (17/500)

-0.815400

0.000200 \tabularnewline Trim. Skewness (18/500)

-0.170000

0.133600 & Trim. Kurtosis (18/500)

-0.822100

0.000200 \tabularnewline Trim. Skewness (19/500)

-0.178400

0.114200 & Trim. Kurtosis (19/500)

-0.824300

0.000200 \tabularnewline Trim. Skewness (20/500)

-0.187100

0.099000 & Trim. Kurtosis (20/500)

-0.827300

0.000200 \tabularnewline Trim. Skewness (21/500)

-0.193400

0.089200 & Trim. Kurtosis (21/500)

-0.826600

0.000200 \tabularnewline Trim. Skewness (22/500)

-0.200000

0.080200 & Trim. Kurtosis (22/500)

-0.826400

0.000200 \tabularnewline Trim. Skewness (23/500)

-0.206900

0.070200 & Trim. Kurtosis (23/500)

-0.826900

0.000200 \tabularnewline Trim. Skewness (24/500)

-0.211400

0.064400 & Trim. Kurtosis (24/500)

-0.824200

0.000400 \tabularnewline Trim. Skewness (25/500)

-0.216000

0.060200 & Trim. Kurtosis (25/500)

-0.822000

0.000400 \tabularnewline Trim. Skewness (26/500)

-0.220900

0.054800 & Trim. Kurtosis (26/500)

-0.820200

0.000400 \tabularnewline Trim. Skewness (27/500)

-0.225900

0.050000 & Trim. Kurtosis (27/500)

-0.819000

0.000400 \tabularnewline Trim. Skewness (28/500)

-0.231200

0.045600 & Trim. Kurtosis (28/500)

-0.818300

0.000400 \tabularnewline Trim. Skewness (29/500)

-0.236600

0.041400 & Trim. Kurtosis (29/500)

-0.818300

0.000400 \tabularnewline Trim. Skewness (30/500)

-0.242300

0.036600 & Trim. Kurtosis (30/500)

-0.819100

0.000400 \tabularnewline Trim. Skewness (31/500)

-0.245400

0.034800 & Trim. Kurtosis (31/500)

-0.817000

0.000400 \tabularnewline Trim. Skewness (32/500)

-0.248700

0.033200 & Trim. Kurtosis (32/500)

-0.815300

0.000400 \tabularnewline Trim. Skewness (33/500)

-0.252000

0.030800 & Trim. Kurtosis (33/500)

-0.814300

0.000400 \tabularnewline Trim. Skewness (34/500)

-0.255400

0.029200 & Trim. Kurtosis (34/500)

-0.814000

0.000600 \tabularnewline Trim. Skewness (35/500)

-0.258900

0.027800 & Trim. Kurtosis (35/500)

-0.814400

0.000600 \tabularnewline Trim. Skewness (36/500)

-0.262600

0.025800 & Trim. Kurtosis (36/500)

-0.815600

0.000600 \tabularnewline Trim. Skewness (37/500)

-0.266400

0.023800 & Trim. Kurtosis (37/500)

-0.817800

0.000600 \tabularnewline Trim. Skewness (38/500)

-0.270300

0.022000 & Trim. Kurtosis (38/500)

-0.820900

0.000600 \tabularnewline Trim. Skewness (39/500)

-0.274300

0.020800 & Trim. Kurtosis (39/500)

-0.825200

0.000400 \tabularnewline Trim. Skewness (40/500)

-0.275400

0.020400 & Trim. Kurtosis (40/500)

-0.826900

0.000600 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103764&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 (0/500)[/C]

0.052900[/C]

0.624200[/C][C]Trim. Kurtosis (0/500)[/C]

-0.601200[/C]

0.005800[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]

0.031700[/C]

0.764200[/C][C]Trim. Kurtosis (1/500)[/C]

-0.635400[/C]

0.003600[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]

0.013100[/C]

0.904400[/C][C]Trim. Kurtosis (2/500)[/C]

-0.662700[/C]

0.002400[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]

-0.006700[/C]

0.944200[/C][C]Trim. Kurtosis (3/500)[/C]

-0.693600[/C]

0.001600[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]

-0.020400[/C]

0.849200[/C][C]Trim. Kurtosis (4/500)[/C]

-0.709000[/C]

0.001200[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]

-0.035000[/C]

0.749000[/C][C]Trim. Kurtosis (5/500)[/C]

-0.726600[/C]

0.001000[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]

-0.047000[/C]

0.667200[/C][C]Trim. Kurtosis (6/500)[/C]

-0.738600[/C]

0.000800[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]

-0.056600[/C]

0.603000[/C][C]Trim. Kurtosis (7/500)[/C]

-0.745600[/C]

0.000800[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]

-0.066700[/C]

0.541800[/C][C]Trim. Kurtosis (8/500)[/C]

-0.753900[/C]

0.000600[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]

-0.074400[/C]

0.502800[/C][C]Trim. Kurtosis (9/500)[/C]

-0.757700[/C]

0.000600[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]

-0.082600[/C]

0.453200[/C][C]Trim. Kurtosis (10/500)[/C]

-0.762500[/C]

0.000600[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]

-0.091200[/C]

0.412200[/C][C]Trim. Kurtosis (11/500)[/C]

-0.768400[/C]

0.000600[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]

-0.100200[/C]

0.368200[/C][C]Trim. Kurtosis (12/500)[/C]

-0.775600[/C]

0.000600[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]

-0.111400[/C]

0.317400[/C][C]Trim. Kurtosis (13/500)[/C]

-0.782200[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]

-0.123100[/C]

0.271400[/C][C]Trim. Kurtosis (14/500)[/C]

-0.789900[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]

-0.135500[/C]

0.226200[/C][C]Trim. Kurtosis (15/500)[/C]

-0.799100[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]

-0.148600[/C]

0.186800[/C][C]Trim. Kurtosis (16/500)[/C]

-0.809800[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]

-0.159000[/C]

0.158600[/C][C]Trim. Kurtosis (17/500)[/C]

-0.815400[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]

-0.170000[/C]

0.133600[/C][C]Trim. Kurtosis (18/500)[/C]

-0.822100[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]

-0.178400[/C]

0.114200[/C][C]Trim. Kurtosis (19/500)[/C]

-0.824300[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]

-0.187100[/C]

0.099000[/C][C]Trim. Kurtosis (20/500)[/C]

-0.827300[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]

-0.193400[/C]

0.089200[/C][C]Trim. Kurtosis (21/500)[/C]

-0.826600[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]

-0.200000[/C]

0.080200[/C][C]Trim. Kurtosis (22/500)[/C]

-0.826400[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]

-0.206900[/C]

0.070200[/C][C]Trim. Kurtosis (23/500)[/C]

-0.826900[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]

-0.211400[/C]

0.064400[/C][C]Trim. Kurtosis (24/500)[/C]

-0.824200[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]

-0.216000[/C]

0.060200[/C][C]Trim. Kurtosis (25/500)[/C]

-0.822000[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]

-0.220900[/C]

0.054800[/C][C]Trim. Kurtosis (26/500)[/C]

-0.820200[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]

-0.225900[/C]

0.050000[/C][C]Trim. Kurtosis (27/500)[/C]

-0.819000[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]

-0.231200[/C]

0.045600[/C][C]Trim. Kurtosis (28/500)[/C]

-0.818300[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]

-0.236600[/C]

0.041400[/C][C]Trim. Kurtosis (29/500)[/C]

-0.818300[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]

-0.242300[/C]

0.036600[/C][C]Trim. Kurtosis (30/500)[/C]

-0.819100[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]

-0.245400[/C]

0.034800[/C][C]Trim. Kurtosis (31/500)[/C]

-0.817000[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]

-0.248700[/C]

0.033200[/C][C]Trim. Kurtosis (32/500)[/C]

-0.815300[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]

-0.252000[/C]

0.030800[/C][C]Trim. Kurtosis (33/500)[/C]

-0.814300[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]

-0.255400[/C]

0.029200[/C][C]Trim. Kurtosis (34/500)[/C]

-0.814000[/C]

0.000600[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]

-0.258900[/C]

0.027800[/C][C]Trim. Kurtosis (35/500)[/C]

-0.814400[/C]

0.000600[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]

-0.262600[/C]

0.025800[/C][C]Trim. Kurtosis (36/500)[/C]

-0.815600[/C]

0.000600[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]

-0.266400[/C]

0.023800[/C][C]Trim. Kurtosis (37/500)[/C]

-0.817800[/C]

0.000600[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]

-0.270300[/C]

0.022000[/C][C]Trim. Kurtosis (38/500)[/C]

-0.820900[/C]

0.000600[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]

-0.274300[/C]

0.020800[/C][C]Trim. Kurtosis (39/500)[/C]

-0.825200[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]

-0.275400[/C]

0.020400[/C][C]Trim. Kurtosis (40/500)[/C]

-0.826900[/C]

0.000600[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103764&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103764&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 (0/500)	0.052900	0.624200	Trim. Kurtosis (0/500)	-0.601200	0.005800
Trim. Skewness (1/500)	0.031700	0.764200	Trim. Kurtosis (1/500)	-0.635400	0.003600
Trim. Skewness (2/500)	0.013100	0.904400	Trim. Kurtosis (2/500)	-0.662700	0.002400
Trim. Skewness (3/500)	-0.006700	0.944200	Trim. Kurtosis (3/500)	-0.693600	0.001600
Trim. Skewness (4/500)	-0.020400	0.849200	Trim. Kurtosis (4/500)	-0.709000	0.001200
Trim. Skewness (5/500)	-0.035000	0.749000	Trim. Kurtosis (5/500)	-0.726600	0.001000
Trim. Skewness (6/500)	-0.047000	0.667200	Trim. Kurtosis (6/500)	-0.738600	0.000800
Trim. Skewness (7/500)	-0.056600	0.603000	Trim. Kurtosis (7/500)	-0.745600	0.000800
Trim. Skewness (8/500)	-0.066700	0.541800	Trim. Kurtosis (8/500)	-0.753900	0.000600
Trim. Skewness (9/500)	-0.074400	0.502800	Trim. Kurtosis (9/500)	-0.757700	0.000600
Trim. Skewness (10/500)	-0.082600	0.453200	Trim. Kurtosis (10/500)	-0.762500	0.000600
Trim. Skewness (11/500)	-0.091200	0.412200	Trim. Kurtosis (11/500)	-0.768400	0.000600
Trim. Skewness (12/500)	-0.100200	0.368200	Trim. Kurtosis (12/500)	-0.775600	0.000600
Trim. Skewness (13/500)	-0.111400	0.317400	Trim. Kurtosis (13/500)	-0.782200	0.000400
Trim. Skewness (14/500)	-0.123100	0.271400	Trim. Kurtosis (14/500)	-0.789900	0.000400
Trim. Skewness (15/500)	-0.135500	0.226200	Trim. Kurtosis (15/500)	-0.799100	0.000400
Trim. Skewness (16/500)	-0.148600	0.186800	Trim. Kurtosis (16/500)	-0.809800	0.000400
Trim. Skewness (17/500)	-0.159000	0.158600	Trim. Kurtosis (17/500)	-0.815400	0.000200
Trim. Skewness (18/500)	-0.170000	0.133600	Trim. Kurtosis (18/500)	-0.822100	0.000200
Trim. Skewness (19/500)	-0.178400	0.114200	Trim. Kurtosis (19/500)	-0.824300	0.000200
Trim. Skewness (20/500)	-0.187100	0.099000	Trim. Kurtosis (20/500)	-0.827300	0.000200
Trim. Skewness (21/500)	-0.193400	0.089200	Trim. Kurtosis (21/500)	-0.826600	0.000200
Trim. Skewness (22/500)	-0.200000	0.080200	Trim. Kurtosis (22/500)	-0.826400	0.000200
Trim. Skewness (23/500)	-0.206900	0.070200	Trim. Kurtosis (23/500)	-0.826900	0.000200
Trim. Skewness (24/500)	-0.211400	0.064400	Trim. Kurtosis (24/500)	-0.824200	0.000400
Trim. Skewness (25/500)	-0.216000	0.060200	Trim. Kurtosis (25/500)	-0.822000	0.000400
Trim. Skewness (26/500)	-0.220900	0.054800	Trim. Kurtosis (26/500)	-0.820200	0.000400
Trim. Skewness (27/500)	-0.225900	0.050000	Trim. Kurtosis (27/500)	-0.819000	0.000400
Trim. Skewness (28/500)	-0.231200	0.045600	Trim. Kurtosis (28/500)	-0.818300	0.000400
Trim. Skewness (29/500)	-0.236600	0.041400	Trim. Kurtosis (29/500)	-0.818300	0.000400
Trim. Skewness (30/500)	-0.242300	0.036600	Trim. Kurtosis (30/500)	-0.819100	0.000400
Trim. Skewness (31/500)	-0.245400	0.034800	Trim. Kurtosis (31/500)	-0.817000	0.000400
Trim. Skewness (32/500)	-0.248700	0.033200	Trim. Kurtosis (32/500)	-0.815300	0.000400
Trim. Skewness (33/500)	-0.252000	0.030800	Trim. Kurtosis (33/500)	-0.814300	0.000400
Trim. Skewness (34/500)	-0.255400	0.029200	Trim. Kurtosis (34/500)	-0.814000	0.000600
Trim. Skewness (35/500)	-0.258900	0.027800	Trim. Kurtosis (35/500)	-0.814400	0.000600
Trim. Skewness (36/500)	-0.262600	0.025800	Trim. Kurtosis (36/500)	-0.815600	0.000600
Trim. Skewness (37/500)	-0.266400	0.023800	Trim. Kurtosis (37/500)	-0.817800	0.000600
Trim. Skewness (38/500)	-0.270300	0.022000	Trim. Kurtosis (38/500)	-0.820900	0.000600
Trim. Skewness (39/500)	-0.274300	0.020800	Trim. Kurtosis (39/500)	-0.825200	0.000400
Trim. Skewness (40/500)	-0.275400	0.020400	Trim. Kurtosis (40/500)	-0.826900	0.000600

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