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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 19:00:42 +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/t1291143536egdc568n04zrjbi.htm/, Retrieved Mon, 29 Apr 2024 08:48:32 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103755, Retrieved Mon, 29 Apr 2024 08:48:32 +0000

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134

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 19:00:42] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]

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Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-64878.914924	FISHER 4th Cent. Mom.	1.27410e+8
FISHER beta 1	0.005935	FISHER beta 2	1.602093
FISHER gamma 1	-0.077040	FISHER gamma 2	-1.397907
FISHER gamma 1 (S.E.)	0.109545	FISHER gamma 2 (S.E.)	0.219089
FISHER Test 1	-0.703276	FISHER Test 2	-6.380543
FISHER Test 1 Probability	0.477600	FISHER Test 2 Probability	0.000000
Pearson 2	0.485533
Yule using Quartile definition:Weighted Average at Xnp	0.240240
Yule using Quartile definition:Weighted Average at X(n+1)p	0.241641
Yule using Quartile definition:Empirical Distribution Function	0.240240
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.241175
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.240708
Yule using Quartile definition:Closest Observation	0.240240
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.240708
Yule using Quartile definition:MS Excel (old versions)	0.242107
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.077272	Kurtosis (small sample)	-1.399891
Skewness S.E. (small sample)	0.109218	Kurtosis S.E. (small sample)	0.218006
TEST 1 (small sample)	-0.707505	TEST 1 (small sample)	-6.421338
TEST 1 Prob. (small sample)	0.477600	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.

-64878.914924 & FISHER 4th Cent. Mom.

1.27410e+8 \tabularnewline FISHER beta 1

0.005935 & FISHER beta 2

1.602093 \tabularnewline FISHER gamma 1

-0.077040 & FISHER gamma 2

-1.397907 \tabularnewline FISHER gamma 1 (S.E.)

0.109545 & FISHER gamma 2 (S.E.)

0.219089 \tabularnewline FISHER Test 1

-0.703276 & FISHER Test 2

-6.380543 \tabularnewline FISHER Test 1 Probability

0.477600 & FISHER Test 2 Probability

0.000000 \tabularnewline Pearson 2

0.485533 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

0.240240 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.241641 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.240240 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.241175 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.240708 & & \tabularnewline Yule using Quartile definition:Closest Observation

0.240240 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.240708 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.242107 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.077272 & Kurtosis (small sample)

-1.399891 \tabularnewline Skewness S.E. (small sample)

0.109218 & Kurtosis S.E. (small sample)

0.218006 \tabularnewline TEST 1 (small sample)

-0.707505 & TEST 1 (small sample)

-6.421338 \tabularnewline TEST 1 Prob. (small sample)

0.477600 & TEST 1 Prob. (small sample)

0.000000 \tabularnewline Observations

500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103755&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]

-64878.914924[/C][C]FISHER 4th Cent. Mom.[/C]

1.27410e+8[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.005935[/C][C]FISHER beta 2[/C]

1.602093[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.077040[/C][C]FISHER gamma 2[/C]

-1.397907[/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]

-0.703276[/C][C]FISHER Test 2[/C]

-6.380543[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.477600[/C][C]FISHER Test 2 Probability[/C]

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

0.485533[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

0.240240[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.241641[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.240240[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.241175[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.240708[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

0.240240[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.240708[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.242107[/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]

-0.077272[/C][C]Kurtosis (small sample)[/C]

-1.399891[/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]

-0.707505[/C][C]TEST 1 (small sample)[/C]

-6.421338[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.477600[/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=103755&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103755&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.	-64878.914924	FISHER 4th Cent. Mom.	1.27410e+8
FISHER beta 1	0.005935	FISHER beta 2	1.602093
FISHER gamma 1	-0.077040	FISHER gamma 2	-1.397907
FISHER gamma 1 (S.E.)	0.109545	FISHER gamma 2 (S.E.)	0.219089
FISHER Test 1	-0.703276	FISHER Test 2	-6.380543
FISHER Test 1 Probability	0.477600	FISHER Test 2 Probability	0.000000
Pearson 2	0.485533
Yule using Quartile definition:Weighted Average at Xnp	0.240240
Yule using Quartile definition:Weighted Average at X(n+1)p	0.241641
Yule using Quartile definition:Empirical Distribution Function	0.240240
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.241175
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.240708
Yule using Quartile definition:Closest Observation	0.240240
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.240708
Yule using Quartile definition:MS Excel (old versions)	0.242107
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.077272	Kurtosis (small sample)	-1.399891
Skewness S.E. (small sample)	0.109218	Kurtosis S.E. (small sample)	0.218006
TEST 1 (small sample)	-0.707505	TEST 1 (small sample)	-6.421338
TEST 1 Prob. (small sample)	0.477600	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)	-0.077300	0.477600	Trim. Kurtosis (0/500)	-1.399900	0.000000
Trim. Skewness (1/500)	-0.072700	0.502800	Trim. Kurtosis (1/500)	-1.407900	0.000000
Trim. Skewness (2/500)	-0.067900	0.535200	Trim. Kurtosis (2/500)	-1.415600	0.000000
Trim. Skewness (3/500)	-0.064200	0.555200	Trim. Kurtosis (3/500)	-1.420900	0.000000
Trim. Skewness (4/500)	-0.060400	0.582400	Trim. Kurtosis (4/500)	-1.426500	0.000000
Trim. Skewness (5/500)	-0.056200	0.610000	Trim. Kurtosis (5/500)	-1.432200	0.000000
Trim. Skewness (6/500)	-0.052300	0.631200	Trim. Kurtosis (6/500)	-1.437400	0.000000
Trim. Skewness (7/500)	-0.048500	0.660000	Trim. Kurtosis (7/500)	-1.442500	0.000000
Trim. Skewness (8/500)	-0.044700	0.681800	Trim. Kurtosis (8/500)	-1.447800	0.000000
Trim. Skewness (9/500)	-0.040700	0.711400	Trim. Kurtosis (9/500)	-1.453500	0.000000
Trim. Skewness (10/500)	-0.036600	0.741400	Trim. Kurtosis (10/500)	-1.459500	0.000000
Trim. Skewness (11/500)	-0.032400	0.771800	Trim. Kurtosis (11/500)	-1.465900	0.000000
Trim. Skewness (12/500)	-0.028100	0.794800	Trim. Kurtosis (12/500)	-1.472400	0.000000
Trim. Skewness (13/500)	-0.023800	0.825800	Trim. Kurtosis (13/500)	-1.479400	0.000000
Trim. Skewness (14/500)	-0.019200	0.857200	Trim. Kurtosis (14/500)	-1.486800	0.000000
Trim. Skewness (15/500)	-0.014500	0.896600	Trim. Kurtosis (15/500)	-1.494600	0.000000
Trim. Skewness (16/500)	-0.009600	0.928200	Trim. Kurtosis (16/500)	-1.502900	0.000000
Trim. Skewness (17/500)	-0.004600	0.960200	Trim. Kurtosis (17/500)	-1.511400	0.000000
Trim. Skewness (18/500)	0.000400	0.992000	Trim. Kurtosis (18/500)	-1.520200	0.000000
Trim. Skewness (19/500)	0.005300	0.960200	Trim. Kurtosis (19/500)	-1.528500	0.000000
Trim. Skewness (20/500)	0.010200	0.928200	Trim. Kurtosis (20/500)	-1.537300	0.000000
Trim. Skewness (21/500)	0.015200	0.888600	Trim. Kurtosis (21/500)	-1.546100	0.000000
Trim. Skewness (22/500)	0.020100	0.857200	Trim. Kurtosis (22/500)	-1.555000	0.000000
Trim. Skewness (23/500)	0.024800	0.825800	Trim. Kurtosis (23/500)	-1.563500	0.000000
Trim. Skewness (24/500)	0.028900	0.794800	Trim. Kurtosis (24/500)	-1.571000	0.000000
Trim. Skewness (25/500)	0.032900	0.771800	Trim. Kurtosis (25/500)	-1.578300	0.000000
Trim. Skewness (26/500)	0.036600	0.749000	Trim. Kurtosis (26/500)	-1.585500	0.000000
Trim. Skewness (27/500)	0.040000	0.726400	Trim. Kurtosis (27/500)	-1.591600	0.000000
Trim. Skewness (28/500)	0.043500	0.704000	Trim. Kurtosis (28/500)	-1.598000	0.000000
Trim. Skewness (29/500)	0.047200	0.681800	Trim. Kurtosis (29/500)	-1.604700	0.000000
Trim. Skewness (30/500)	0.050400	0.660000	Trim. Kurtosis (30/500)	-1.610700	0.000000
Trim. Skewness (31/500)	0.053700	0.638400	Trim. Kurtosis (31/500)	-1.616700	0.000000
Trim. Skewness (32/500)	0.057100	0.624200	Trim. Kurtosis (32/500)	-1.623100	0.000000
Trim. Skewness (33/500)	0.060200	0.603000	Trim. Kurtosis (33/500)	-1.629000	0.000000
Trim. Skewness (34/500)	0.063300	0.589200	Trim. Kurtosis (34/500)	-1.635000	0.000000
Trim. Skewness (35/500)	0.066200	0.568600	Trim. Kurtosis (35/500)	-1.640900	0.000000
Trim. Skewness (36/500)	0.069000	0.555200	Trim. Kurtosis (36/500)	-1.646800	0.000000
Trim. Skewness (37/500)	0.072000	0.541800	Trim. Kurtosis (37/500)	-1.652800	0.000000
Trim. Skewness (38/500)	0.074200	0.528600	Trim. Kurtosis (38/500)	-1.657900	0.000000
Trim. Skewness (39/500)	0.076600	0.515600	Trim. Kurtosis (39/500)	-1.663100	0.000000
Trim. Skewness (40/500)	0.078800	0.502800	Trim. Kurtosis (40/500)	-1.668100	0.000000

\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)

-0.077300

0.477600 & Trim. Kurtosis (0/500)

-1.399900

0.000000 \tabularnewline Trim. Skewness (1/500)

-0.072700

0.502800 & Trim. Kurtosis (1/500)

-1.407900

0.000000 \tabularnewline Trim. Skewness (2/500)

-0.067900

0.535200 & Trim. Kurtosis (2/500)

-1.415600

0.000000 \tabularnewline Trim. Skewness (3/500)

-0.064200

0.555200 & Trim. Kurtosis (3/500)

-1.420900

0.000000 \tabularnewline Trim. Skewness (4/500)

-0.060400

0.582400 & Trim. Kurtosis (4/500)

-1.426500

0.000000 \tabularnewline Trim. Skewness (5/500)

-0.056200

0.610000 & Trim. Kurtosis (5/500)

-1.432200

0.000000 \tabularnewline Trim. Skewness (6/500)

-0.052300

0.631200 & Trim. Kurtosis (6/500)

-1.437400

0.000000 \tabularnewline Trim. Skewness (7/500)

-0.048500

0.660000 & Trim. Kurtosis (7/500)

-1.442500

0.000000 \tabularnewline Trim. Skewness (8/500)

-0.044700

0.681800 & Trim. Kurtosis (8/500)

-1.447800

0.000000 \tabularnewline Trim. Skewness (9/500)

-0.040700

0.711400 & Trim. Kurtosis (9/500)

-1.453500

0.000000 \tabularnewline Trim. Skewness (10/500)

-0.036600

0.741400 & Trim. Kurtosis (10/500)

-1.459500

0.000000 \tabularnewline Trim. Skewness (11/500)

-0.032400

0.771800 & Trim. Kurtosis (11/500)

-1.465900

0.000000 \tabularnewline Trim. Skewness (12/500)

-0.028100

0.794800 & Trim. Kurtosis (12/500)

-1.472400

0.000000 \tabularnewline Trim. Skewness (13/500)

-0.023800

0.825800 & Trim. Kurtosis (13/500)

-1.479400

0.000000 \tabularnewline Trim. Skewness (14/500)

-0.019200

0.857200 & Trim. Kurtosis (14/500)

-1.486800

0.000000 \tabularnewline Trim. Skewness (15/500)

-0.014500

0.896600 & Trim. Kurtosis (15/500)

-1.494600

0.000000 \tabularnewline Trim. Skewness (16/500)

-0.009600

0.928200 & Trim. Kurtosis (16/500)

-1.502900

0.000000 \tabularnewline Trim. Skewness (17/500)

-0.004600

0.960200 & Trim. Kurtosis (17/500)

-1.511400

0.000000 \tabularnewline Trim. Skewness (18/500)

0.000400

0.992000 & Trim. Kurtosis (18/500)

-1.520200

0.000000 \tabularnewline Trim. Skewness (19/500)

0.005300

0.960200 & Trim. Kurtosis (19/500)

-1.528500

0.000000 \tabularnewline Trim. Skewness (20/500)

0.010200

0.928200 & Trim. Kurtosis (20/500)

-1.537300

0.000000 \tabularnewline Trim. Skewness (21/500)

0.015200

0.888600 & Trim. Kurtosis (21/500)

-1.546100

0.000000 \tabularnewline Trim. Skewness (22/500)

0.020100

0.857200 & Trim. Kurtosis (22/500)

-1.555000

0.000000 \tabularnewline Trim. Skewness (23/500)

0.024800

0.825800 & Trim. Kurtosis (23/500)

-1.563500

0.000000 \tabularnewline Trim. Skewness (24/500)

0.028900

0.794800 & Trim. Kurtosis (24/500)

-1.571000

0.000000 \tabularnewline Trim. Skewness (25/500)

0.032900

0.771800 & Trim. Kurtosis (25/500)

-1.578300

0.000000 \tabularnewline Trim. Skewness (26/500)

0.036600

0.749000 & Trim. Kurtosis (26/500)

-1.585500

0.000000 \tabularnewline Trim. Skewness (27/500)

0.040000

0.726400 & Trim. Kurtosis (27/500)

-1.591600

0.000000 \tabularnewline Trim. Skewness (28/500)

0.043500

0.704000 & Trim. Kurtosis (28/500)

-1.598000

0.000000 \tabularnewline Trim. Skewness (29/500)

0.047200

0.681800 & Trim. Kurtosis (29/500)

-1.604700

0.000000 \tabularnewline Trim. Skewness (30/500)

0.050400

0.660000 & Trim. Kurtosis (30/500)

-1.610700

0.000000 \tabularnewline Trim. Skewness (31/500)

0.053700

0.638400 & Trim. Kurtosis (31/500)

-1.616700

0.000000 \tabularnewline Trim. Skewness (32/500)

0.057100

0.624200 & Trim. Kurtosis (32/500)

-1.623100

0.000000 \tabularnewline Trim. Skewness (33/500)

0.060200

0.603000 & Trim. Kurtosis (33/500)

-1.629000

0.000000 \tabularnewline Trim. Skewness (34/500)

0.063300

0.589200 & Trim. Kurtosis (34/500)

-1.635000

0.000000 \tabularnewline Trim. Skewness (35/500)

0.066200

0.568600 & Trim. Kurtosis (35/500)

-1.640900

0.000000 \tabularnewline Trim. Skewness (36/500)

0.069000

0.555200 & Trim. Kurtosis (36/500)

-1.646800

0.000000 \tabularnewline Trim. Skewness (37/500)

0.072000

0.541800 & Trim. Kurtosis (37/500)

-1.652800

0.000000 \tabularnewline Trim. Skewness (38/500)

0.074200

0.528600 & Trim. Kurtosis (38/500)

-1.657900

0.000000 \tabularnewline Trim. Skewness (39/500)

0.076600

0.515600 & Trim. Kurtosis (39/500)

-1.663100

0.000000 \tabularnewline Trim. Skewness (40/500)

0.078800

0.502800 & Trim. Kurtosis (40/500)

-1.668100

0.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103755&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]

-0.077300[/C]

0.477600[/C][C]Trim. Kurtosis (0/500)[/C]

-1.399900[/C]

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

-0.072700[/C]

0.502800[/C][C]Trim. Kurtosis (1/500)[/C]

-1.407900[/C]

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

-0.067900[/C]

0.535200[/C][C]Trim. Kurtosis (2/500)[/C]

-1.415600[/C]

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

-0.064200[/C]

0.555200[/C][C]Trim. Kurtosis (3/500)[/C]

-1.420900[/C]

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

-0.060400[/C]

0.582400[/C][C]Trim. Kurtosis (4/500)[/C]

-1.426500[/C]

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

-0.056200[/C]

0.610000[/C][C]Trim. Kurtosis (5/500)[/C]

-1.432200[/C]

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

-0.052300[/C]

0.631200[/C][C]Trim. Kurtosis (6/500)[/C]

-1.437400[/C]

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

-0.048500[/C]

0.660000[/C][C]Trim. Kurtosis (7/500)[/C]

-1.442500[/C]

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

-0.044700[/C]

0.681800[/C][C]Trim. Kurtosis (8/500)[/C]

-1.447800[/C]

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

-0.040700[/C]

0.711400[/C][C]Trim. Kurtosis (9/500)[/C]

-1.453500[/C]

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

-0.036600[/C]

0.741400[/C][C]Trim. Kurtosis (10/500)[/C]

-1.459500[/C]

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

-0.032400[/C]

0.771800[/C][C]Trim. Kurtosis (11/500)[/C]

-1.465900[/C]

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

-0.028100[/C]

0.794800[/C][C]Trim. Kurtosis (12/500)[/C]

-1.472400[/C]

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

-0.023800[/C]

0.825800[/C][C]Trim. Kurtosis (13/500)[/C]

-1.479400[/C]

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

-0.019200[/C]

0.857200[/C][C]Trim. Kurtosis (14/500)[/C]

-1.486800[/C]

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

-0.014500[/C]

0.896600[/C][C]Trim. Kurtosis (15/500)[/C]

-1.494600[/C]

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

-0.009600[/C]

0.928200[/C][C]Trim. Kurtosis (16/500)[/C]

-1.502900[/C]

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

-0.004600[/C]

0.960200[/C][C]Trim. Kurtosis (17/500)[/C]

-1.511400[/C]

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

0.000400[/C]

0.992000[/C][C]Trim. Kurtosis (18/500)[/C]

-1.520200[/C]

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

0.005300[/C]

0.960200[/C][C]Trim. Kurtosis (19/500)[/C]

-1.528500[/C]

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

0.010200[/C]

0.928200[/C][C]Trim. Kurtosis (20/500)[/C]

-1.537300[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]

0.015200[/C]

0.888600[/C][C]Trim. Kurtosis (21/500)[/C]

-1.546100[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]

0.020100[/C]

0.857200[/C][C]Trim. Kurtosis (22/500)[/C]

-1.555000[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]

0.024800[/C]

0.825800[/C][C]Trim. Kurtosis (23/500)[/C]

-1.563500[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]

0.028900[/C]

0.794800[/C][C]Trim. Kurtosis (24/500)[/C]

-1.571000[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]

0.032900[/C]

0.771800[/C][C]Trim. Kurtosis (25/500)[/C]

-1.578300[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]

0.036600[/C]

0.749000[/C][C]Trim. Kurtosis (26/500)[/C]

-1.585500[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]

0.040000[/C]

0.726400[/C][C]Trim. Kurtosis (27/500)[/C]

-1.591600[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]

0.043500[/C]

0.704000[/C][C]Trim. Kurtosis (28/500)[/C]

-1.598000[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]

0.047200[/C]

0.681800[/C][C]Trim. Kurtosis (29/500)[/C]

-1.604700[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]

0.050400[/C]

0.660000[/C][C]Trim. Kurtosis (30/500)[/C]

-1.610700[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]

0.053700[/C]

0.638400[/C][C]Trim. Kurtosis (31/500)[/C]

-1.616700[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]

0.057100[/C]

0.624200[/C][C]Trim. Kurtosis (32/500)[/C]

-1.623100[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]

0.060200[/C]

0.603000[/C][C]Trim. Kurtosis (33/500)[/C]

-1.629000[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]

0.063300[/C]

0.589200[/C][C]Trim. Kurtosis (34/500)[/C]

-1.635000[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]

0.066200[/C]

0.568600[/C][C]Trim. Kurtosis (35/500)[/C]

-1.640900[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]

0.069000[/C]

0.555200[/C][C]Trim. Kurtosis (36/500)[/C]

-1.646800[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]

0.072000[/C]

0.541800[/C][C]Trim. Kurtosis (37/500)[/C]

-1.652800[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]

0.074200[/C]

0.528600[/C][C]Trim. Kurtosis (38/500)[/C]

-1.657900[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]

0.076600[/C]

0.515600[/C][C]Trim. Kurtosis (39/500)[/C]

-1.663100[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]

0.078800[/C]

0.502800[/C][C]Trim. Kurtosis (40/500)[/C]

-1.668100[/C]

0.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103755&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103755&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)	-0.077300	0.477600	Trim. Kurtosis (0/500)	-1.399900	0.000000
Trim. Skewness (1/500)	-0.072700	0.502800	Trim. Kurtosis (1/500)	-1.407900	0.000000
Trim. Skewness (2/500)	-0.067900	0.535200	Trim. Kurtosis (2/500)	-1.415600	0.000000
Trim. Skewness (3/500)	-0.064200	0.555200	Trim. Kurtosis (3/500)	-1.420900	0.000000
Trim. Skewness (4/500)	-0.060400	0.582400	Trim. Kurtosis (4/500)	-1.426500	0.000000
Trim. Skewness (5/500)	-0.056200	0.610000	Trim. Kurtosis (5/500)	-1.432200	0.000000
Trim. Skewness (6/500)	-0.052300	0.631200	Trim. Kurtosis (6/500)	-1.437400	0.000000
Trim. Skewness (7/500)	-0.048500	0.660000	Trim. Kurtosis (7/500)	-1.442500	0.000000
Trim. Skewness (8/500)	-0.044700	0.681800	Trim. Kurtosis (8/500)	-1.447800	0.000000
Trim. Skewness (9/500)	-0.040700	0.711400	Trim. Kurtosis (9/500)	-1.453500	0.000000
Trim. Skewness (10/500)	-0.036600	0.741400	Trim. Kurtosis (10/500)	-1.459500	0.000000
Trim. Skewness (11/500)	-0.032400	0.771800	Trim. Kurtosis (11/500)	-1.465900	0.000000
Trim. Skewness (12/500)	-0.028100	0.794800	Trim. Kurtosis (12/500)	-1.472400	0.000000
Trim. Skewness (13/500)	-0.023800	0.825800	Trim. Kurtosis (13/500)	-1.479400	0.000000
Trim. Skewness (14/500)	-0.019200	0.857200	Trim. Kurtosis (14/500)	-1.486800	0.000000
Trim. Skewness (15/500)	-0.014500	0.896600	Trim. Kurtosis (15/500)	-1.494600	0.000000
Trim. Skewness (16/500)	-0.009600	0.928200	Trim. Kurtosis (16/500)	-1.502900	0.000000
Trim. Skewness (17/500)	-0.004600	0.960200	Trim. Kurtosis (17/500)	-1.511400	0.000000
Trim. Skewness (18/500)	0.000400	0.992000	Trim. Kurtosis (18/500)	-1.520200	0.000000
Trim. Skewness (19/500)	0.005300	0.960200	Trim. Kurtosis (19/500)	-1.528500	0.000000
Trim. Skewness (20/500)	0.010200	0.928200	Trim. Kurtosis (20/500)	-1.537300	0.000000
Trim. Skewness (21/500)	0.015200	0.888600	Trim. Kurtosis (21/500)	-1.546100	0.000000
Trim. Skewness (22/500)	0.020100	0.857200	Trim. Kurtosis (22/500)	-1.555000	0.000000
Trim. Skewness (23/500)	0.024800	0.825800	Trim. Kurtosis (23/500)	-1.563500	0.000000
Trim. Skewness (24/500)	0.028900	0.794800	Trim. Kurtosis (24/500)	-1.571000	0.000000
Trim. Skewness (25/500)	0.032900	0.771800	Trim. Kurtosis (25/500)	-1.578300	0.000000
Trim. Skewness (26/500)	0.036600	0.749000	Trim. Kurtosis (26/500)	-1.585500	0.000000
Trim. Skewness (27/500)	0.040000	0.726400	Trim. Kurtosis (27/500)	-1.591600	0.000000
Trim. Skewness (28/500)	0.043500	0.704000	Trim. Kurtosis (28/500)	-1.598000	0.000000
Trim. Skewness (29/500)	0.047200	0.681800	Trim. Kurtosis (29/500)	-1.604700	0.000000
Trim. Skewness (30/500)	0.050400	0.660000	Trim. Kurtosis (30/500)	-1.610700	0.000000
Trim. Skewness (31/500)	0.053700	0.638400	Trim. Kurtosis (31/500)	-1.616700	0.000000
Trim. Skewness (32/500)	0.057100	0.624200	Trim. Kurtosis (32/500)	-1.623100	0.000000
Trim. Skewness (33/500)	0.060200	0.603000	Trim. Kurtosis (33/500)	-1.629000	0.000000
Trim. Skewness (34/500)	0.063300	0.589200	Trim. Kurtosis (34/500)	-1.635000	0.000000
Trim. Skewness (35/500)	0.066200	0.568600	Trim. Kurtosis (35/500)	-1.640900	0.000000
Trim. Skewness (36/500)	0.069000	0.555200	Trim. Kurtosis (36/500)	-1.646800	0.000000
Trim. Skewness (37/500)	0.072000	0.541800	Trim. Kurtosis (37/500)	-1.652800	0.000000
Trim. Skewness (38/500)	0.074200	0.528600	Trim. Kurtosis (38/500)	-1.657900	0.000000
Trim. Skewness (39/500)	0.076600	0.515600	Trim. Kurtosis (39/500)	-1.663100	0.000000
Trim. Skewness (40/500)	0.078800	0.502800	Trim. Kurtosis (40/500)	-1.668100	0.000000

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