Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Mon, 29 Nov 2010 18:15:22 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/29/t1291054439qk5nq5wvw42gpwp.htm/, Retrieved Mon, 06 May 2024 18:48:22 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103014, Retrieved Mon, 06 May 2024 18:48:22 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

126

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

-     [Skewness and Kurtosis] [] [2010-11-29 17:29:37] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D  [Skewness and Kurtosis] [] [2010-11-29 17:35:36] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D    [Skewness and Kurtosis] [] [2010-11-29 17:37:34] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D      [Skewness and Kurtosis] [] [2010-11-29 17:39:18] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D        [Skewness and Kurtosis] [] [2010-11-29 17:41:39] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D          [Skewness and Kurtosis] [] [2010-11-29 17:44:08] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D            [Skewness and Kurtosis] [] [2010-11-29 17:45:30] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D              [Skewness and Kurtosis] [] [2010-11-29 17:46:57] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                [Skewness and Kurtosis] [] [2010-11-29 17:48:57] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                  [Skewness and Kurtosis] [] [2010-11-29 17:58:21] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                    [Skewness and Kurtosis] [] [2010-11-29 18:00:24] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                      [Skewness and Kurtosis] [] [2010-11-29 18:02:07] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                        [Skewness and Kurtosis] [] [2010-11-29 18:03:42] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                          [Skewness and Kurtosis] [] [2010-11-29 18:05:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                            [Skewness and Kurtosis] [] [2010-11-29 18:07:05] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                              [Skewness and Kurtosis] [] [2010-11-29 18:08:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                [Skewness and Kurtosis] [] [2010-11-29 18:10:34] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                  [Skewness and Kurtosis] [] [2010-11-29 18:11:36] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                    [Skewness and Kurtosis] [] [2010-11-29 18:13:28] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                        [Skewness and Kurtosis] [] [2010-11-29 18:15:22] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    D                                          [Skewness and Kurtosis] [] [2010-11-29 18:21:56] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                            [Skewness and Kurtosis] [] [2010-11-29 18:24:10] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                              [Skewness and Kurtosis] [] [2010-11-29 18:26:31] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                [Skewness and Kurtosis] [] [2010-11-29 18:28:06] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                  [Skewness and Kurtosis] [] [2010-11-29 18:29:55] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                    [Skewness and Kurtosis] [] [2010-11-29 18:31:43] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                      [Skewness and Kurtosis] [] [2010-11-29 19:17:23] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                        [Skewness and Kurtosis] [] [2010-11-29 19:19:08] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                          [Skewness and Kurtosis] [] [2010-11-29 19:20:37] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                            [Skewness and Kurtosis] [] [2010-11-29 19:23:46] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                              [Skewness and Kurtosis] [] [2010-11-29 19:25:18] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                [Skewness and Kurtosis] [] [2010-11-29 19:26:45] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                  [Skewness and Kurtosis] [] [2010-11-29 19:28:13] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                    [Skewness and Kurtosis] [] [2010-11-29 19:30:05] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                      [Skewness and Kurtosis] [] [2010-11-29 19:31:18] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                        [Skewness and Kurtosis] [] [2010-11-29 19:32:50] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                          [Skewness and Kurtosis] [] [2010-11-29 19:33:58] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                            [Skewness and Kurtosis] [] [2010-11-29 19:35:47] [7d64bf19f34ddcdf2626356c9d5bd60d] 
-    D                                                              [Skewness and Kurtosis] [] [2010-11-29 19:37:35] [7d64bf19f34ddcdf2626356c9d5bd60d] 

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	5.14300e+11	FISHER 4th Cent. Mom.	1.59365e+16
FISHER beta 1	0.391566	FISHER beta 2	2.070023
FISHER gamma 1	0.625752	FISHER gamma 2	-0.929977
FISHER gamma 1 (S.E.)	0.109545	FISHER gamma 2 (S.E.)	0.219089
FISHER Test 1	5.712310	FISHER Test 2	-4.244747
FISHER Test 1 Probability	0.000000	FISHER Test 2 Probability	0.000000
Pearson 2	0.855170
Yule using Quartile definition:Weighted Average at Xnp	0.285623
Yule using Quartile definition:Weighted Average at X(n+1)p	0.292575
Yule using Quartile definition:Empirical Distribution Function	0.285623
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.291392
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.290201
Yule using Quartile definition:Closest Observation	0.285623
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.290201
Yule using Quartile definition:MS Excel (old versions)	0.293750
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	0.627637	Kurtosis (small sample)	-0.927248
Skewness S.E. (small sample)	0.109218	Kurtosis S.E. (small sample)	0.218006
TEST 1 (small sample)	5.746653	TEST 1 (small sample)	-4.253312
TEST 1 Prob. (small sample)	0.000000	TEST 1 Prob. (small sample)	0.000000
Observations	500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

5.14300e+11 & FISHER 4th Cent. Mom.

1.59365e+16 \tabularnewline FISHER beta 1

0.391566 & FISHER beta 2

2.070023 \tabularnewline FISHER gamma 1

0.625752 & FISHER gamma 2

-0.929977 \tabularnewline FISHER gamma 1 (S.E.)

0.109545 & FISHER gamma 2 (S.E.)

0.219089 \tabularnewline FISHER Test 1

5.712310 & FISHER Test 2

-4.244747 \tabularnewline FISHER Test 1 Probability

0.000000 & FISHER Test 2 Probability

0.000000 \tabularnewline Pearson 2

0.855170 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

0.285623 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.292575 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.285623 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.291392 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.290201 & & \tabularnewline Yule using Quartile definition:Closest Observation

0.285623 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.290201 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.293750 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

0.627637 & Kurtosis (small sample)

-0.927248 \tabularnewline Skewness S.E. (small sample)

0.109218 & Kurtosis S.E. (small sample)

0.218006 \tabularnewline TEST 1 (small sample)

5.746653 & TEST 1 (small sample)

-4.253312 \tabularnewline TEST 1 Prob. (small sample)

0.000000 & TEST 1 Prob. (small sample)

0.000000 \tabularnewline Observations

500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103014&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]

5.14300e+11[/C][C]FISHER 4th Cent. Mom.[/C]

1.59365e+16[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.391566[/C][C]FISHER beta 2[/C]

2.070023[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

0.625752[/C][C]FISHER gamma 2[/C]

-0.929977[/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]

5.712310[/C][C]FISHER Test 2[/C]

-4.244747[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.000000[/C][C]FISHER Test 2 Probability[/C]

0.000000[/C][/ROW] [ROW][C]Pearson 2[/C]

0.855170[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

0.285623[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.292575[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.285623[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.291392[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.290201[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

0.285623[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.290201[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.293750[/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]

0.627637[/C][C]Kurtosis (small sample)[/C]

-0.927248[/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]

5.746653[/C][C]TEST 1 (small sample)[/C]

-4.253312[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.000000[/C][C]TEST 1 Prob. (small sample)[/C]

0.000000[/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=103014&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103014&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.	5.14300e+11	FISHER 4th Cent. Mom.	1.59365e+16
FISHER beta 1	0.391566	FISHER beta 2	2.070023
FISHER gamma 1	0.625752	FISHER gamma 2	-0.929977
FISHER gamma 1 (S.E.)	0.109545	FISHER gamma 2 (S.E.)	0.219089
FISHER Test 1	5.712310	FISHER Test 2	-4.244747
FISHER Test 1 Probability	0.000000	FISHER Test 2 Probability	0.000000
Pearson 2	0.855170
Yule using Quartile definition:Weighted Average at Xnp	0.285623
Yule using Quartile definition:Weighted Average at X(n+1)p	0.292575
Yule using Quartile definition:Empirical Distribution Function	0.285623
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.291392
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.290201
Yule using Quartile definition:Closest Observation	0.285623
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.290201
Yule using Quartile definition:MS Excel (old versions)	0.293750
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	0.627637	Kurtosis (small sample)	-0.927248
Skewness S.E. (small sample)	0.109218	Kurtosis S.E. (small sample)	0.218006
TEST 1 (small sample)	5.746653	TEST 1 (small sample)	-4.253312
TEST 1 Prob. (small sample)	0.000000	TEST 1 Prob. (small sample)	0.000000
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)	0.627600	0.000000	Trim. Kurtosis (0/500)	-0.927200	0.000000
Trim. Skewness (1/500)	0.629000	0.000000	Trim. Kurtosis (1/500)	-0.927000	0.000000
Trim. Skewness (2/500)	0.630400	0.000000	Trim. Kurtosis (2/500)	-0.926500	0.000000
Trim. Skewness (3/500)	0.631400	0.000000	Trim. Kurtosis (3/500)	-0.925500	0.000000
Trim. Skewness (4/500)	0.632500	0.000000	Trim. Kurtosis (4/500)	-0.924300	0.000000
Trim. Skewness (5/500)	0.633700	0.000000	Trim. Kurtosis (5/500)	-0.922400	0.000000
Trim. Skewness (6/500)	0.634800	0.000000	Trim. Kurtosis (6/500)	-0.920300	0.000000
Trim. Skewness (7/500)	0.635700	0.000000	Trim. Kurtosis (7/500)	-0.917800	0.000000
Trim. Skewness (8/500)	0.636600	0.000000	Trim. Kurtosis (8/500)	-0.915100	0.000000
Trim. Skewness (9/500)	0.637400	0.000000	Trim. Kurtosis (9/500)	-0.912700	0.000000
Trim. Skewness (10/500)	0.638100	0.000000	Trim. Kurtosis (10/500)	-0.910100	0.000000
Trim. Skewness (11/500)	0.638700	0.000000	Trim. Kurtosis (11/500)	-0.907800	0.000000
Trim. Skewness (12/500)	0.639400	0.000000	Trim. Kurtosis (12/500)	-0.905400	0.000000
Trim. Skewness (13/500)	0.640000	0.000000	Trim. Kurtosis (13/500)	-0.903000	0.000000
Trim. Skewness (14/500)	0.640400	0.000000	Trim. Kurtosis (14/500)	-0.900800	0.000000
Trim. Skewness (15/500)	0.640700	0.000000	Trim. Kurtosis (15/500)	-0.898900	0.000000
Trim. Skewness (16/500)	0.641300	0.000000	Trim. Kurtosis (16/500)	-0.896300	0.000000
Trim. Skewness (17/500)	0.641900	0.000000	Trim. Kurtosis (17/500)	-0.893400	0.000000
Trim. Skewness (18/500)	0.642600	0.000000	Trim. Kurtosis (18/500)	-0.890400	0.000000
Trim. Skewness (19/500)	0.643400	0.000000	Trim. Kurtosis (19/500)	-0.886800	0.000000
Trim. Skewness (20/500)	0.644200	0.000000	Trim. Kurtosis (20/500)	-0.883400	0.000200
Trim. Skewness (21/500)	0.644800	0.000000	Trim. Kurtosis (21/500)	-0.880100	0.000200
Trim. Skewness (22/500)	0.645400	0.000000	Trim. Kurtosis (22/500)	-0.877100	0.000200
Trim. Skewness (23/500)	0.645800	0.000000	Trim. Kurtosis (23/500)	-0.874300	0.000200
Trim. Skewness (24/500)	0.646400	0.000000	Trim. Kurtosis (24/500)	-0.871000	0.000200
Trim. Skewness (25/500)	0.646900	0.000000	Trim. Kurtosis (25/500)	-0.867600	0.000200
Trim. Skewness (26/500)	0.647200	0.000000	Trim. Kurtosis (26/500)	-0.864600	0.000200
Trim. Skewness (27/500)	0.647400	0.000000	Trim. Kurtosis (27/500)	-0.861900	0.000200
Trim. Skewness (28/500)	0.647600	0.000000	Trim. Kurtosis (28/500)	-0.859100	0.000200
Trim. Skewness (29/500)	0.647800	0.000000	Trim. Kurtosis (29/500)	-0.856300	0.000200
Trim. Skewness (30/500)	0.647800	0.000000	Trim. Kurtosis (30/500)	-0.853700	0.000200
Trim. Skewness (31/500)	0.647700	0.000000	Trim. Kurtosis (31/500)	-0.851500	0.000200
Trim. Skewness (32/500)	0.647500	0.000000	Trim. Kurtosis (32/500)	-0.849600	0.000200
Trim. Skewness (33/500)	0.646900	0.000000	Trim. Kurtosis (33/500)	-0.848000	0.000200
Trim. Skewness (34/500)	0.646200	0.000000	Trim. Kurtosis (34/500)	-0.846700	0.000200
Trim. Skewness (35/500)	0.645400	0.000000	Trim. Kurtosis (35/500)	-0.845800	0.000400
Trim. Skewness (36/500)	0.644600	0.000000	Trim. Kurtosis (36/500)	-0.844700	0.000400
Trim. Skewness (37/500)	0.643700	0.000000	Trim. Kurtosis (37/500)	-0.844000	0.000400
Trim. Skewness (38/500)	0.642500	0.000000	Trim. Kurtosis (38/500)	-0.843900	0.000400
Trim. Skewness (39/500)	0.641200	0.000000	Trim. Kurtosis (39/500)	-0.844200	0.000400
Trim. Skewness (40/500)	0.640000	0.000000	Trim. Kurtosis (40/500)	-0.844200	0.000400

\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)

0.627600

0.000000 & Trim. Kurtosis (0/500)

-0.927200

0.000000 \tabularnewline Trim. Skewness (1/500)

0.629000

0.000000 & Trim. Kurtosis (1/500)

-0.927000

0.000000 \tabularnewline Trim. Skewness (2/500)

0.630400

0.000000 & Trim. Kurtosis (2/500)

-0.926500

0.000000 \tabularnewline Trim. Skewness (3/500)

0.631400

0.000000 & Trim. Kurtosis (3/500)

-0.925500

0.000000 \tabularnewline Trim. Skewness (4/500)

0.632500

0.000000 & Trim. Kurtosis (4/500)

-0.924300

0.000000 \tabularnewline Trim. Skewness (5/500)

0.633700

0.000000 & Trim. Kurtosis (5/500)

-0.922400

0.000000 \tabularnewline Trim. Skewness (6/500)

0.634800

0.000000 & Trim. Kurtosis (6/500)

-0.920300

0.000000 \tabularnewline Trim. Skewness (7/500)

0.635700

0.000000 & Trim. Kurtosis (7/500)

-0.917800

0.000000 \tabularnewline Trim. Skewness (8/500)

0.636600

0.000000 & Trim. Kurtosis (8/500)

-0.915100

0.000000 \tabularnewline Trim. Skewness (9/500)

0.637400

0.000000 & Trim. Kurtosis (9/500)

-0.912700

0.000000 \tabularnewline Trim. Skewness (10/500)

0.638100

0.000000 & Trim. Kurtosis (10/500)

-0.910100

0.000000 \tabularnewline Trim. Skewness (11/500)

0.638700

0.000000 & Trim. Kurtosis (11/500)

-0.907800

0.000000 \tabularnewline Trim. Skewness (12/500)

0.639400

0.000000 & Trim. Kurtosis (12/500)

-0.905400

0.000000 \tabularnewline Trim. Skewness (13/500)

0.640000

0.000000 & Trim. Kurtosis (13/500)

-0.903000

0.000000 \tabularnewline Trim. Skewness (14/500)

0.640400

0.000000 & Trim. Kurtosis (14/500)

-0.900800

0.000000 \tabularnewline Trim. Skewness (15/500)

0.640700

0.000000 & Trim. Kurtosis (15/500)

-0.898900

0.000000 \tabularnewline Trim. Skewness (16/500)

0.641300

0.000000 & Trim. Kurtosis (16/500)

-0.896300

0.000000 \tabularnewline Trim. Skewness (17/500)

0.641900

0.000000 & Trim. Kurtosis (17/500)

-0.893400

0.000000 \tabularnewline Trim. Skewness (18/500)

0.642600

0.000000 & Trim. Kurtosis (18/500)

-0.890400

0.000000 \tabularnewline Trim. Skewness (19/500)

0.643400

0.000000 & Trim. Kurtosis (19/500)

-0.886800

0.000000 \tabularnewline Trim. Skewness (20/500)

0.644200

0.000000 & Trim. Kurtosis (20/500)

-0.883400

0.000200 \tabularnewline Trim. Skewness (21/500)

0.644800

0.000000 & Trim. Kurtosis (21/500)

-0.880100

0.000200 \tabularnewline Trim. Skewness (22/500)

0.645400

0.000000 & Trim. Kurtosis (22/500)

-0.877100

0.000200 \tabularnewline Trim. Skewness (23/500)

0.645800

0.000000 & Trim. Kurtosis (23/500)

-0.874300

0.000200 \tabularnewline Trim. Skewness (24/500)

0.646400

0.000000 & Trim. Kurtosis (24/500)

-0.871000

0.000200 \tabularnewline Trim. Skewness (25/500)

0.646900

0.000000 & Trim. Kurtosis (25/500)

-0.867600

0.000200 \tabularnewline Trim. Skewness (26/500)

0.647200

0.000000 & Trim. Kurtosis (26/500)

-0.864600

0.000200 \tabularnewline Trim. Skewness (27/500)

0.647400

0.000000 & Trim. Kurtosis (27/500)

-0.861900

0.000200 \tabularnewline Trim. Skewness (28/500)

0.647600

0.000000 & Trim. Kurtosis (28/500)

-0.859100

0.000200 \tabularnewline Trim. Skewness (29/500)

0.647800

0.000000 & Trim. Kurtosis (29/500)

-0.856300

0.000200 \tabularnewline Trim. Skewness (30/500)

0.647800

0.000000 & Trim. Kurtosis (30/500)

-0.853700

0.000200 \tabularnewline Trim. Skewness (31/500)

0.647700

0.000000 & Trim. Kurtosis (31/500)

-0.851500

0.000200 \tabularnewline Trim. Skewness (32/500)

0.647500

0.000000 & Trim. Kurtosis (32/500)

-0.849600

0.000200 \tabularnewline Trim. Skewness (33/500)

0.646900

0.000000 & Trim. Kurtosis (33/500)

-0.848000

0.000200 \tabularnewline Trim. Skewness (34/500)

0.646200

0.000000 & Trim. Kurtosis (34/500)

-0.846700

0.000200 \tabularnewline Trim. Skewness (35/500)

0.645400

0.000000 & Trim. Kurtosis (35/500)

-0.845800

0.000400 \tabularnewline Trim. Skewness (36/500)

0.644600

0.000000 & Trim. Kurtosis (36/500)

-0.844700

0.000400 \tabularnewline Trim. Skewness (37/500)

0.643700

0.000000 & Trim. Kurtosis (37/500)

-0.844000

0.000400 \tabularnewline Trim. Skewness (38/500)

0.642500

0.000000 & Trim. Kurtosis (38/500)

-0.843900

0.000400 \tabularnewline Trim. Skewness (39/500)

0.641200

0.000000 & Trim. Kurtosis (39/500)

-0.844200

0.000400 \tabularnewline Trim. Skewness (40/500)

0.640000

0.000000 & Trim. Kurtosis (40/500)

-0.844200

0.000400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103014&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]

0.627600[/C]

0.000000[/C][C]Trim. Kurtosis (0/500)[/C]

-0.927200[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]

0.629000[/C]

0.000000[/C][C]Trim. Kurtosis (1/500)[/C]

-0.927000[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]

0.630400[/C]

0.000000[/C][C]Trim. Kurtosis (2/500)[/C]

-0.926500[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]

0.631400[/C]

0.000000[/C][C]Trim. Kurtosis (3/500)[/C]

-0.925500[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]

0.632500[/C]

0.000000[/C][C]Trim. Kurtosis (4/500)[/C]

-0.924300[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]

0.633700[/C]

0.000000[/C][C]Trim. Kurtosis (5/500)[/C]

-0.922400[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]

0.634800[/C]

0.000000[/C][C]Trim. Kurtosis (6/500)[/C]

-0.920300[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]

0.635700[/C]

0.000000[/C][C]Trim. Kurtosis (7/500)[/C]

-0.917800[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]

0.636600[/C]

0.000000[/C][C]Trim. Kurtosis (8/500)[/C]

-0.915100[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]

0.637400[/C]

0.000000[/C][C]Trim. Kurtosis (9/500)[/C]

-0.912700[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]

0.638100[/C]

0.000000[/C][C]Trim. Kurtosis (10/500)[/C]

-0.910100[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]

0.638700[/C]

0.000000[/C][C]Trim. Kurtosis (11/500)[/C]

-0.907800[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]

0.639400[/C]

0.000000[/C][C]Trim. Kurtosis (12/500)[/C]

-0.905400[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]

0.640000[/C]

0.000000[/C][C]Trim. Kurtosis (13/500)[/C]

-0.903000[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]

0.640400[/C]

0.000000[/C][C]Trim. Kurtosis (14/500)[/C]

-0.900800[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]

0.640700[/C]

0.000000[/C][C]Trim. Kurtosis (15/500)[/C]

-0.898900[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]

0.641300[/C]

0.000000[/C][C]Trim. Kurtosis (16/500)[/C]

-0.896300[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]

0.641900[/C]

0.000000[/C][C]Trim. Kurtosis (17/500)[/C]

-0.893400[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]

0.642600[/C]

0.000000[/C][C]Trim. Kurtosis (18/500)[/C]

-0.890400[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]

0.643400[/C]

0.000000[/C][C]Trim. Kurtosis (19/500)[/C]

-0.886800[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]

0.644200[/C]

0.000000[/C][C]Trim. Kurtosis (20/500)[/C]

-0.883400[/C]

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

0.644800[/C]

0.000000[/C][C]Trim. Kurtosis (21/500)[/C]

-0.880100[/C]

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

0.645400[/C]

0.000000[/C][C]Trim. Kurtosis (22/500)[/C]

-0.877100[/C]

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

0.645800[/C]

0.000000[/C][C]Trim. Kurtosis (23/500)[/C]

-0.874300[/C]

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

0.646400[/C]

0.000000[/C][C]Trim. Kurtosis (24/500)[/C]

-0.871000[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]

0.646900[/C]

0.000000[/C][C]Trim. Kurtosis (25/500)[/C]

-0.867600[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]

0.647200[/C]

0.000000[/C][C]Trim. Kurtosis (26/500)[/C]

-0.864600[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]

0.647400[/C]

0.000000[/C][C]Trim. Kurtosis (27/500)[/C]

-0.861900[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]

0.647600[/C]

0.000000[/C][C]Trim. Kurtosis (28/500)[/C]

-0.859100[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]

0.647800[/C]

0.000000[/C][C]Trim. Kurtosis (29/500)[/C]

-0.856300[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]

0.647800[/C]

0.000000[/C][C]Trim. Kurtosis (30/500)[/C]

-0.853700[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]

0.647700[/C]

0.000000[/C][C]Trim. Kurtosis (31/500)[/C]

-0.851500[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]

0.647500[/C]

0.000000[/C][C]Trim. Kurtosis (32/500)[/C]

-0.849600[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]

0.646900[/C]

0.000000[/C][C]Trim. Kurtosis (33/500)[/C]

-0.848000[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]

0.646200[/C]

0.000000[/C][C]Trim. Kurtosis (34/500)[/C]

-0.846700[/C]

0.000200[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]

0.645400[/C]

0.000000[/C][C]Trim. Kurtosis (35/500)[/C]

-0.845800[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]

0.644600[/C]

0.000000[/C][C]Trim. Kurtosis (36/500)[/C]

-0.844700[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]

0.643700[/C]

0.000000[/C][C]Trim. Kurtosis (37/500)[/C]

-0.844000[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]

0.642500[/C]

0.000000[/C][C]Trim. Kurtosis (38/500)[/C]

-0.843900[/C]

0.000400[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]

0.641200[/C]

0.000000[/C][C]Trim. Kurtosis (39/500)[/C]

-0.844200[/C]

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

0.640000[/C]

0.000000[/C][C]Trim. Kurtosis (40/500)[/C]

-0.844200[/C]

0.000400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103014&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103014&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)	0.627600	0.000000	Trim. Kurtosis (0/500)	-0.927200	0.000000
Trim. Skewness (1/500)	0.629000	0.000000	Trim. Kurtosis (1/500)	-0.927000	0.000000
Trim. Skewness (2/500)	0.630400	0.000000	Trim. Kurtosis (2/500)	-0.926500	0.000000
Trim. Skewness (3/500)	0.631400	0.000000	Trim. Kurtosis (3/500)	-0.925500	0.000000
Trim. Skewness (4/500)	0.632500	0.000000	Trim. Kurtosis (4/500)	-0.924300	0.000000
Trim. Skewness (5/500)	0.633700	0.000000	Trim. Kurtosis (5/500)	-0.922400	0.000000
Trim. Skewness (6/500)	0.634800	0.000000	Trim. Kurtosis (6/500)	-0.920300	0.000000
Trim. Skewness (7/500)	0.635700	0.000000	Trim. Kurtosis (7/500)	-0.917800	0.000000
Trim. Skewness (8/500)	0.636600	0.000000	Trim. Kurtosis (8/500)	-0.915100	0.000000
Trim. Skewness (9/500)	0.637400	0.000000	Trim. Kurtosis (9/500)	-0.912700	0.000000
Trim. Skewness (10/500)	0.638100	0.000000	Trim. Kurtosis (10/500)	-0.910100	0.000000
Trim. Skewness (11/500)	0.638700	0.000000	Trim. Kurtosis (11/500)	-0.907800	0.000000
Trim. Skewness (12/500)	0.639400	0.000000	Trim. Kurtosis (12/500)	-0.905400	0.000000
Trim. Skewness (13/500)	0.640000	0.000000	Trim. Kurtosis (13/500)	-0.903000	0.000000
Trim. Skewness (14/500)	0.640400	0.000000	Trim. Kurtosis (14/500)	-0.900800	0.000000
Trim. Skewness (15/500)	0.640700	0.000000	Trim. Kurtosis (15/500)	-0.898900	0.000000
Trim. Skewness (16/500)	0.641300	0.000000	Trim. Kurtosis (16/500)	-0.896300	0.000000
Trim. Skewness (17/500)	0.641900	0.000000	Trim. Kurtosis (17/500)	-0.893400	0.000000
Trim. Skewness (18/500)	0.642600	0.000000	Trim. Kurtosis (18/500)	-0.890400	0.000000
Trim. Skewness (19/500)	0.643400	0.000000	Trim. Kurtosis (19/500)	-0.886800	0.000000
Trim. Skewness (20/500)	0.644200	0.000000	Trim. Kurtosis (20/500)	-0.883400	0.000200
Trim. Skewness (21/500)	0.644800	0.000000	Trim. Kurtosis (21/500)	-0.880100	0.000200
Trim. Skewness (22/500)	0.645400	0.000000	Trim. Kurtosis (22/500)	-0.877100	0.000200
Trim. Skewness (23/500)	0.645800	0.000000	Trim. Kurtosis (23/500)	-0.874300	0.000200
Trim. Skewness (24/500)	0.646400	0.000000	Trim. Kurtosis (24/500)	-0.871000	0.000200
Trim. Skewness (25/500)	0.646900	0.000000	Trim. Kurtosis (25/500)	-0.867600	0.000200
Trim. Skewness (26/500)	0.647200	0.000000	Trim. Kurtosis (26/500)	-0.864600	0.000200
Trim. Skewness (27/500)	0.647400	0.000000	Trim. Kurtosis (27/500)	-0.861900	0.000200
Trim. Skewness (28/500)	0.647600	0.000000	Trim. Kurtosis (28/500)	-0.859100	0.000200
Trim. Skewness (29/500)	0.647800	0.000000	Trim. Kurtosis (29/500)	-0.856300	0.000200
Trim. Skewness (30/500)	0.647800	0.000000	Trim. Kurtosis (30/500)	-0.853700	0.000200
Trim. Skewness (31/500)	0.647700	0.000000	Trim. Kurtosis (31/500)	-0.851500	0.000200
Trim. Skewness (32/500)	0.647500	0.000000	Trim. Kurtosis (32/500)	-0.849600	0.000200
Trim. Skewness (33/500)	0.646900	0.000000	Trim. Kurtosis (33/500)	-0.848000	0.000200
Trim. Skewness (34/500)	0.646200	0.000000	Trim. Kurtosis (34/500)	-0.846700	0.000200
Trim. Skewness (35/500)	0.645400	0.000000	Trim. Kurtosis (35/500)	-0.845800	0.000400
Trim. Skewness (36/500)	0.644600	0.000000	Trim. Kurtosis (36/500)	-0.844700	0.000400
Trim. Skewness (37/500)	0.643700	0.000000	Trim. Kurtosis (37/500)	-0.844000	0.000400
Trim. Skewness (38/500)	0.642500	0.000000	Trim. Kurtosis (38/500)	-0.843900	0.000400
Trim. Skewness (39/500)	0.641200	0.000000	Trim. Kurtosis (39/500)	-0.844200	0.000400
Trim. Skewness (40/500)	0.640000	0.000000	Trim. Kurtosis (40/500)	-0.844200	0.000400

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