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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 22:49:35 +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/30/t12911572599mcoao4d51y11gi.htm/, Retrieved Mon, 29 Apr 2024 10:29:03 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103867, Retrieved Mon, 29 Apr 2024 10:29:03 +0000

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No (this computation is public)

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Estimated Impact

130

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

-     [Skewness and Kurtosis] [] [2010-11-30 14:37:56] [8441f95c4a5787a301bc621ebc7904ca]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:49:35] [13dfa60174f50d862e8699db2153bfc5] [Current]

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0,00189925
0,005336537
-0,001562774
0,01061948
-0,003476829
-0,000410875
-0,006418772
0,004358548
-0,000723394
0,002063651
0,003179405
0,003257733
0,01710355
0,008401289
-0,021768298
0,008661289
-0,018937917
-0,00082448
-0,00165367
0,000103539
0,000517325
-0,001450066
-0,010713491
0,011646232
-0,000310691
-0,001348903
-0,004806966
0,004910876
-0,001769871
0,006933956
0,004290877
-0,007692275
-0,011640607
0,003177004
-0,004347753
-0,001494624
-0,008640812
-0,003725051
-0,007323484
0,002009592
0,010563548
-0,030507111
0,00034972
-0,004333027
-0,016308943
-0,000366751
0,011942192
0,001899596
-0,012132926
0,002550751
0,003137456
0
0,00857188
0,001412341
-0,008423952
0,007718355
-0,016186761
0,011096158
0,002730301
-0,002135295
-0,011569017
-0,010757452
-0,010773945
0,016494975
-0,01151843
-0,005233296
0,008897184
0,001507096
0,007827576
-0,000492816
0,019406978
-0,00557632
0,002619108
-0,003336161
0,010516691
-0,001403214
0,023259121
0,020702671
-0,001165892
-0,004266188
-0,008004658
0,000981457
0,001956285
-0,010425763
-0,008637938
0,011847162
-0,005436379
-0,00067038
-0,024968311
-0,002494246
-0,00611777
0,008612015
-0,023731193
0,012331734
0,011636262
0,009599352
0,001156269
-0,012297146
-0,010094737
-0,002805451
0,00219711
-0,022872755
-0,001671602
-0,007930759
0,012799007
0,004057671
0,001511906
0,013497337
0,019199121
-0,003631344
0,009079658
0,003670762
0,006237526
-0,00225784
-0,006844814
0,003093523
-0,007020681
-0,001860434
-0,024570041

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-0.000000	FISHER 4th Cent. Mom.	0.000000
FISHER beta 1	0.127010	FISHER beta 2	3.582339
FISHER gamma 1	-0.356385	FISHER gamma 2	0.582339
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-1.587148	FISHER Test 2	1.296713
FISHER Test 1 Probability	0.111800	FISHER Test 2 Probability	0.193600
Pearson 2	-0.045569
Yule using Quartile definition:Weighted Average at Xnp	-0.081821
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.034922
Yule using Quartile definition:Empirical Distribution Function	-0.034922
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.034922
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.037263
Yule using Quartile definition:Closest Observation	-0.089485
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.034922
Yule using Quartile definition:MS Excel (old versions)	-0.034922
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.360951	Kurtosis (small sample)	0.659735
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-1.627502	TEST 1 (small sample)	1.499067
TEST 1 Prob. (small sample)	0.103200	TEST 1 Prob. (small sample)	0.133600
Observations	119

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-0.000000 & FISHER 4th Cent. Mom.

0.000000 \tabularnewline FISHER beta 1

0.127010 & FISHER beta 2

3.582339 \tabularnewline FISHER gamma 1

-0.356385 & FISHER gamma 2

0.582339 \tabularnewline FISHER gamma 1 (S.E.)

0.224544 & FISHER gamma 2 (S.E.)

0.449089 \tabularnewline FISHER Test 1

-1.587148 & FISHER Test 2

1.296713 \tabularnewline FISHER Test 1 Probability

0.111800 & FISHER Test 2 Probability

0.193600 \tabularnewline Pearson 2

-0.045569 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.081821 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

-0.034922 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

-0.034922 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

-0.034922 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

-0.037263 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.089485 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

-0.034922 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

-0.034922 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.360951 & Kurtosis (small sample)

0.659735 \tabularnewline Skewness S.E. (small sample)

0.221782 & Kurtosis S.E. (small sample)

0.440097 \tabularnewline TEST 1 (small sample)

-1.627502 & TEST 1 (small sample)

1.499067 \tabularnewline TEST 1 Prob. (small sample)

0.103200 & TEST 1 Prob. (small sample)

0.133600 \tabularnewline Observations

119 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103867&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]

-0.000000[/C][C]FISHER 4th Cent. Mom.[/C]

0.000000[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.127010[/C][C]FISHER beta 2[/C]

3.582339[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.356385[/C][C]FISHER gamma 2[/C]

0.582339[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]

0.224544[/C][C]FISHER gamma 2 (S.E.)[/C]

0.449089[/C][/ROW] [ROW][C]FISHER Test 1[/C]

-1.587148[/C][C]FISHER Test 2[/C]

1.296713[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.111800[/C][C]FISHER Test 2 Probability[/C]

0.193600[/C][/ROW] [ROW][C]Pearson 2[/C]

-0.045569[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.081821[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

-0.034922[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

-0.034922[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

-0.034922[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

-0.037263[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.089485[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

-0.034922[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

-0.034922[/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]

-0.360951[/C][C]Kurtosis (small sample)[/C]

0.659735[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]

0.221782[/C][C]Kurtosis S.E. (small sample)[/C]

0.440097[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]

-1.627502[/C][C]TEST 1 (small sample)[/C]

1.499067[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.103200[/C][C]TEST 1 Prob. (small sample)[/C]

0.133600[/C][/ROW] [ROW][C]Observations[/C]

119[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103867&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103867&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.	-0.000000	FISHER 4th Cent. Mom.	0.000000
FISHER beta 1	0.127010	FISHER beta 2	3.582339
FISHER gamma 1	-0.356385	FISHER gamma 2	0.582339
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-1.587148	FISHER Test 2	1.296713
FISHER Test 1 Probability	0.111800	FISHER Test 2 Probability	0.193600
Pearson 2	-0.045569
Yule using Quartile definition:Weighted Average at Xnp	-0.081821
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.034922
Yule using Quartile definition:Empirical Distribution Function	-0.034922
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.034922
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.037263
Yule using Quartile definition:Closest Observation	-0.089485
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.034922
Yule using Quartile definition:MS Excel (old versions)	-0.034922
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.360951	Kurtosis (small sample)	0.659735
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-1.627502	TEST 1 (small sample)	1.499067
TEST 1 Prob. (small sample)	0.103200	TEST 1 Prob. (small sample)	0.133600
Observations	119

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)	Value	Probability	Kurtosis Measure (small sample)	Value	Probability
Trim. Skewness (0/119)	-0.361000	0.103200	Trim. Kurtosis (0/119)	0.659700	0.133600
Trim. Skewness (1/119)	-0.310900	0.161600	Trim. Kurtosis (1/119)	0.390300	0.378800
Trim. Skewness (2/119)	-0.308500	0.170600	Trim. Kurtosis (2/119)	0.344700	0.435400
Trim. Skewness (3/119)	-0.285000	0.207600	Trim. Kurtosis (3/119)	0.253600	0.568600
Trim. Skewness (4/119)	-0.261800	0.250200	Trim. Kurtosis (4/119)	0.089600	0.841400
Trim. Skewness (5/119)	-0.202500	0.378800	Trim. Kurtosis (5/119)	-0.115300	0.794800
Trim. Skewness (6/119)	-0.132400	0.568600	Trim. Kurtosis (6/119)	-0.397100	0.389800
Trim. Skewness (7/119)	-0.060600	0.794800	Trim. Kurtosis (7/119)	-0.538400	0.246000
Trim. Skewness (8/119)	-0.018700	0.936200	Trim. Kurtosis (8/119)	-0.589900	0.207600
Trim. Skewness (9/119)	0.041500	0.857200	Trim. Kurtosis (9/119)	-0.679700	0.152800
Trim. Skewness (10/119)	0.044800	0.849200	Trim. Kurtosis (10/119)	-0.655100	0.170600
Trim. Skewness (11/119)	0.047700	0.841400	Trim. Kurtosis (11/119)	-0.634700	0.190200
Trim. Skewness (12/119)	0.046200	0.849200	Trim. Kurtosis (12/119)	-0.611100	0.211200
Trim. Skewness (13/119)	0.042700	0.857200	Trim. Kurtosis (13/119)	-0.599400	0.222400
Trim. Skewness (14/119)	0.047600	0.849200	Trim. Kurtosis (14/119)	-0.589300	0.238000
Trim. Skewness (15/119)	0.047800	0.849200	Trim. Kurtosis (15/119)	-0.563000	0.262800
Trim. Skewness (16/119)	0.048500	0.849200	Trim. Kurtosis (16/119)	-0.551700	0.280200
Trim. Skewness (17/119)	0.048900	0.849200	Trim. Kurtosis (17/119)	-0.566700	0.271400
Trim. Skewness (18/119)	0.065500	0.802600	Trim. Kurtosis (18/119)	-0.568200	0.275800
Trim. Skewness (19/119)	0.090800	0.733800	Trim. Kurtosis (19/119)	-0.567600	0.280200
Trim. Skewness (20/119)	0.085300	0.749000	Trim. Kurtosis (20/119)	-0.528500	0.322200
Trim. Skewness (21/119)	0.083800	0.756600	Trim. Kurtosis (21/119)	-0.494800	0.357600
Trim. Skewness (22/119)	0.075200	0.779400	Trim. Kurtosis (22/119)	-0.475000	0.384400
Trim. Skewness (23/119)	0.048300	0.857200	Trim. Kurtosis (23/119)	-0.473100	0.389800
Trim. Skewness (24/119)	0.013200	0.960200	Trim. Kurtosis (24/119)	-0.509900	0.362800
Trim. Skewness (25/119)	-0.017500	0.944200	Trim. Kurtosis (25/119)	-0.551700	0.332000
Trim. Skewness (26/119)	-0.075700	0.794800	Trim. Kurtosis (26/119)	-0.652600	0.258400
Trim. Skewness (27/119)	-0.122200	0.674400	Trim. Kurtosis (27/119)	-0.741800	0.204000
Trim. Skewness (28/119)	-0.149700	0.617000	Trim. Kurtosis (28/119)	-0.838000	0.158600
Trim. Skewness (29/119)	-0.153000	0.617000	Trim. Kurtosis (29/119)	-0.888900	0.138800
Trim. Skewness (30/119)	-0.147300	0.631200	Trim. Kurtosis (30/119)	-0.941200	0.123600
Trim. Skewness (31/119)	-0.138900	0.660000	Trim. Kurtosis (31/119)	-0.948800	0.126000
Trim. Skewness (32/119)	-0.128900	0.681800	Trim. Kurtosis (32/119)	-0.983000	0.118800
Trim. Skewness (33/119)	-0.110500	0.733800	Trim. Kurtosis (33/119)	-1.035500	0.107400
Trim. Skewness (34/119)	-0.089600	0.787200	Trim. Kurtosis (34/119)	-1.057900	0.105200
Trim. Skewness (35/119)	-0.068700	0.833600	Trim. Kurtosis (35/119)	-1.034300	0.121200
Trim. Skewness (36/119)	-0.031600	0.920400	Trim. Kurtosis (36/119)	-1.033600	0.128600
Trim. Skewness (37/119)	0.021000	0.952200	Trim. Kurtosis (37/119)	-1.076200	0.121200
Trim. Skewness (38/119)	0.041800	0.904400	Trim. Kurtosis (38/119)	-1.078600	0.126000
Trim. Skewness (39/119)	0.067600	0.849200	Trim. Kurtosis (39/119)	-1.123100	0.118800
Trim. Skewness (40/119)	0.127100	0.733800	Trim. Kurtosis (40/119)	-1.168700	0.114200

\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 (0/119)

-0.361000

0.103200 & Trim. Kurtosis (0/119)

0.659700

0.133600 \tabularnewline Trim. Skewness (1/119)

-0.310900

0.161600 & Trim. Kurtosis (1/119)

0.390300

0.378800 \tabularnewline Trim. Skewness (2/119)

-0.308500

0.170600 & Trim. Kurtosis (2/119)

0.344700

0.435400 \tabularnewline Trim. Skewness (3/119)

-0.285000

0.207600 & Trim. Kurtosis (3/119)

0.253600

0.568600 \tabularnewline Trim. Skewness (4/119)

-0.261800

0.250200 & Trim. Kurtosis (4/119)

0.089600

0.841400 \tabularnewline Trim. Skewness (5/119)

-0.202500

0.378800 & Trim. Kurtosis (5/119)

-0.115300

0.794800 \tabularnewline Trim. Skewness (6/119)

-0.132400

0.568600 & Trim. Kurtosis (6/119)

-0.397100

0.389800 \tabularnewline Trim. Skewness (7/119)

-0.060600

0.794800 & Trim. Kurtosis (7/119)

-0.538400

0.246000 \tabularnewline Trim. Skewness (8/119)

-0.018700

0.936200 & Trim. Kurtosis (8/119)

-0.589900

0.207600 \tabularnewline Trim. Skewness (9/119)

0.041500

0.857200 & Trim. Kurtosis (9/119)

-0.679700

0.152800 \tabularnewline Trim. Skewness (10/119)

0.044800

0.849200 & Trim. Kurtosis (10/119)

-0.655100

0.170600 \tabularnewline Trim. Skewness (11/119)

0.047700

0.841400 & Trim. Kurtosis (11/119)

-0.634700

0.190200 \tabularnewline Trim. Skewness (12/119)

0.046200

0.849200 & Trim. Kurtosis (12/119)

-0.611100

0.211200 \tabularnewline Trim. Skewness (13/119)

0.042700

0.857200 & Trim. Kurtosis (13/119)

-0.599400

0.222400 \tabularnewline Trim. Skewness (14/119)

0.047600

0.849200 & Trim. Kurtosis (14/119)

-0.589300

0.238000 \tabularnewline Trim. Skewness (15/119)

0.047800

0.849200 & Trim. Kurtosis (15/119)

-0.563000

0.262800 \tabularnewline Trim. Skewness (16/119)

0.048500

0.849200 & Trim. Kurtosis (16/119)

-0.551700

0.280200 \tabularnewline Trim. Skewness (17/119)

0.048900

0.849200 & Trim. Kurtosis (17/119)

-0.566700

0.271400 \tabularnewline Trim. Skewness (18/119)

0.065500

0.802600 & Trim. Kurtosis (18/119)

-0.568200

0.275800 \tabularnewline Trim. Skewness (19/119)

0.090800

0.733800 & Trim. Kurtosis (19/119)

-0.567600

0.280200 \tabularnewline Trim. Skewness (20/119)

0.085300

0.749000 & Trim. Kurtosis (20/119)

-0.528500

0.322200 \tabularnewline Trim. Skewness (21/119)

0.083800

0.756600 & Trim. Kurtosis (21/119)

-0.494800

0.357600 \tabularnewline Trim. Skewness (22/119)

0.075200

0.779400 & Trim. Kurtosis (22/119)

-0.475000

0.384400 \tabularnewline Trim. Skewness (23/119)

0.048300

0.857200 & Trim. Kurtosis (23/119)

-0.473100

0.389800 \tabularnewline Trim. Skewness (24/119)

0.013200

0.960200 & Trim. Kurtosis (24/119)

-0.509900

0.362800 \tabularnewline Trim. Skewness (25/119)

-0.017500

0.944200 & Trim. Kurtosis (25/119)

-0.551700

0.332000 \tabularnewline Trim. Skewness (26/119)

-0.075700

0.794800 & Trim. Kurtosis (26/119)

-0.652600

0.258400 \tabularnewline Trim. Skewness (27/119)

-0.122200

0.674400 & Trim. Kurtosis (27/119)

-0.741800

0.204000 \tabularnewline Trim. Skewness (28/119)

-0.149700

0.617000 & Trim. Kurtosis (28/119)

-0.838000

0.158600 \tabularnewline Trim. Skewness (29/119)

-0.153000

0.617000 & Trim. Kurtosis (29/119)

-0.888900

0.138800 \tabularnewline Trim. Skewness (30/119)

-0.147300

0.631200 & Trim. Kurtosis (30/119)

-0.941200

0.123600 \tabularnewline Trim. Skewness (31/119)

-0.138900

0.660000 & Trim. Kurtosis (31/119)

-0.948800

0.126000 \tabularnewline Trim. Skewness (32/119)

-0.128900

0.681800 & Trim. Kurtosis (32/119)

-0.983000

0.118800 \tabularnewline Trim. Skewness (33/119)

-0.110500

0.733800 & Trim. Kurtosis (33/119)

-1.035500

0.107400 \tabularnewline Trim. Skewness (34/119)

-0.089600

0.787200 & Trim. Kurtosis (34/119)

-1.057900

0.105200 \tabularnewline Trim. Skewness (35/119)

-0.068700

0.833600 & Trim. Kurtosis (35/119)

-1.034300

0.121200 \tabularnewline Trim. Skewness (36/119)

-0.031600

0.920400 & Trim. Kurtosis (36/119)

-1.033600

0.128600 \tabularnewline Trim. Skewness (37/119)

0.021000

0.952200 & Trim. Kurtosis (37/119)

-1.076200

0.121200 \tabularnewline Trim. Skewness (38/119)

0.041800

0.904400 & Trim. Kurtosis (38/119)

-1.078600

0.126000 \tabularnewline Trim. Skewness (39/119)

0.067600

0.849200 & Trim. Kurtosis (39/119)

-1.123100

0.118800 \tabularnewline Trim. Skewness (40/119)

0.127100

0.733800 & Trim. Kurtosis (40/119)

-1.168700

0.114200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103867&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 (0/119)[/C]

-0.361000[/C]

0.103200[/C][C]Trim. Kurtosis (0/119)[/C]

0.659700[/C]

0.133600[/C][/ROW] [ROW][C]Trim. Skewness (1/119)[/C]

-0.310900[/C]

0.161600[/C][C]Trim. Kurtosis (1/119)[/C]

0.390300[/C]

0.378800[/C][/ROW] [ROW][C]Trim. Skewness (2/119)[/C]

-0.308500[/C]

0.170600[/C][C]Trim. Kurtosis (2/119)[/C]

0.344700[/C]

0.435400[/C][/ROW] [ROW][C]Trim. Skewness (3/119)[/C]

-0.285000[/C]

0.207600[/C][C]Trim. Kurtosis (3/119)[/C]

0.253600[/C]

0.568600[/C][/ROW] [ROW][C]Trim. Skewness (4/119)[/C]

-0.261800[/C]

0.250200[/C][C]Trim. Kurtosis (4/119)[/C]

0.089600[/C]

0.841400[/C][/ROW] [ROW][C]Trim. Skewness (5/119)[/C]

-0.202500[/C]

0.378800[/C][C]Trim. Kurtosis (5/119)[/C]

-0.115300[/C]

0.794800[/C][/ROW] [ROW][C]Trim. Skewness (6/119)[/C]

-0.132400[/C]

0.568600[/C][C]Trim. Kurtosis (6/119)[/C]

-0.397100[/C]

0.389800[/C][/ROW] [ROW][C]Trim. Skewness (7/119)[/C]

-0.060600[/C]

0.794800[/C][C]Trim. Kurtosis (7/119)[/C]

-0.538400[/C]

0.246000[/C][/ROW] [ROW][C]Trim. Skewness (8/119)[/C]

-0.018700[/C]

0.936200[/C][C]Trim. Kurtosis (8/119)[/C]

-0.589900[/C]

0.207600[/C][/ROW] [ROW][C]Trim. Skewness (9/119)[/C]

0.041500[/C]

0.857200[/C][C]Trim. Kurtosis (9/119)[/C]

-0.679700[/C]

0.152800[/C][/ROW] [ROW][C]Trim. Skewness (10/119)[/C]

0.044800[/C]

0.849200[/C][C]Trim. Kurtosis (10/119)[/C]

-0.655100[/C]

0.170600[/C][/ROW] [ROW][C]Trim. Skewness (11/119)[/C]

0.047700[/C]

0.841400[/C][C]Trim. Kurtosis (11/119)[/C]

-0.634700[/C]

0.190200[/C][/ROW] [ROW][C]Trim. Skewness (12/119)[/C]

0.046200[/C]

0.849200[/C][C]Trim. Kurtosis (12/119)[/C]

-0.611100[/C]

0.211200[/C][/ROW] [ROW][C]Trim. Skewness (13/119)[/C]

0.042700[/C]

0.857200[/C][C]Trim. Kurtosis (13/119)[/C]

-0.599400[/C]

0.222400[/C][/ROW] [ROW][C]Trim. Skewness (14/119)[/C]

0.047600[/C]

0.849200[/C][C]Trim. Kurtosis (14/119)[/C]

-0.589300[/C]

0.238000[/C][/ROW] [ROW][C]Trim. Skewness (15/119)[/C]

0.047800[/C]

0.849200[/C][C]Trim. Kurtosis (15/119)[/C]

-0.563000[/C]

0.262800[/C][/ROW] [ROW][C]Trim. Skewness (16/119)[/C]

0.048500[/C]

0.849200[/C][C]Trim. Kurtosis (16/119)[/C]

-0.551700[/C]

0.280200[/C][/ROW] [ROW][C]Trim. Skewness (17/119)[/C]

0.048900[/C]

0.849200[/C][C]Trim. Kurtosis (17/119)[/C]

-0.566700[/C]

0.271400[/C][/ROW] [ROW][C]Trim. Skewness (18/119)[/C]

0.065500[/C]

0.802600[/C][C]Trim. Kurtosis (18/119)[/C]

-0.568200[/C]

0.275800[/C][/ROW] [ROW][C]Trim. Skewness (19/119)[/C]

0.090800[/C]

0.733800[/C][C]Trim. Kurtosis (19/119)[/C]

-0.567600[/C]

0.280200[/C][/ROW] [ROW][C]Trim. Skewness (20/119)[/C]

0.085300[/C]

0.749000[/C][C]Trim. Kurtosis (20/119)[/C]

-0.528500[/C]

0.322200[/C][/ROW] [ROW][C]Trim. Skewness (21/119)[/C]

0.083800[/C]

0.756600[/C][C]Trim. Kurtosis (21/119)[/C]

-0.494800[/C]

0.357600[/C][/ROW] [ROW][C]Trim. Skewness (22/119)[/C]

0.075200[/C]

0.779400[/C][C]Trim. Kurtosis (22/119)[/C]

-0.475000[/C]

0.384400[/C][/ROW] [ROW][C]Trim. Skewness (23/119)[/C]

0.048300[/C]

0.857200[/C][C]Trim. Kurtosis (23/119)[/C]

-0.473100[/C]

0.389800[/C][/ROW] [ROW][C]Trim. Skewness (24/119)[/C]

0.013200[/C]

0.960200[/C][C]Trim. Kurtosis (24/119)[/C]

-0.509900[/C]

0.362800[/C][/ROW] [ROW][C]Trim. Skewness (25/119)[/C]

-0.017500[/C]

0.944200[/C][C]Trim. Kurtosis (25/119)[/C]

-0.551700[/C]

0.332000[/C][/ROW] [ROW][C]Trim. Skewness (26/119)[/C]

-0.075700[/C]

0.794800[/C][C]Trim. Kurtosis (26/119)[/C]

-0.652600[/C]

0.258400[/C][/ROW] [ROW][C]Trim. Skewness (27/119)[/C]

-0.122200[/C]

0.674400[/C][C]Trim. Kurtosis (27/119)[/C]

-0.741800[/C]

0.204000[/C][/ROW] [ROW][C]Trim. Skewness (28/119)[/C]

-0.149700[/C]

0.617000[/C][C]Trim. Kurtosis (28/119)[/C]

-0.838000[/C]

0.158600[/C][/ROW] [ROW][C]Trim. Skewness (29/119)[/C]

-0.153000[/C]

0.617000[/C][C]Trim. Kurtosis (29/119)[/C]

-0.888900[/C]

0.138800[/C][/ROW] [ROW][C]Trim. Skewness (30/119)[/C]

-0.147300[/C]

0.631200[/C][C]Trim. Kurtosis (30/119)[/C]

-0.941200[/C]

0.123600[/C][/ROW] [ROW][C]Trim. Skewness (31/119)[/C]

-0.138900[/C]

0.660000[/C][C]Trim. Kurtosis (31/119)[/C]

-0.948800[/C]

0.126000[/C][/ROW] [ROW][C]Trim. Skewness (32/119)[/C]

-0.128900[/C]

0.681800[/C][C]Trim. Kurtosis (32/119)[/C]

-0.983000[/C]

0.118800[/C][/ROW] [ROW][C]Trim. Skewness (33/119)[/C]

-0.110500[/C]

0.733800[/C][C]Trim. Kurtosis (33/119)[/C]

-1.035500[/C]

0.107400[/C][/ROW] [ROW][C]Trim. Skewness (34/119)[/C]

-0.089600[/C]

0.787200[/C][C]Trim. Kurtosis (34/119)[/C]

-1.057900[/C]

0.105200[/C][/ROW] [ROW][C]Trim. Skewness (35/119)[/C]

-0.068700[/C]

0.833600[/C][C]Trim. Kurtosis (35/119)[/C]

-1.034300[/C]

0.121200[/C][/ROW] [ROW][C]Trim. Skewness (36/119)[/C]

-0.031600[/C]

0.920400[/C][C]Trim. Kurtosis (36/119)[/C]

-1.033600[/C]

0.128600[/C][/ROW] [ROW][C]Trim. Skewness (37/119)[/C]

0.021000[/C]

0.952200[/C][C]Trim. Kurtosis (37/119)[/C]

-1.076200[/C]

0.121200[/C][/ROW] [ROW][C]Trim. Skewness (38/119)[/C]

0.041800[/C]

0.904400[/C][C]Trim. Kurtosis (38/119)[/C]

-1.078600[/C]

0.126000[/C][/ROW] [ROW][C]Trim. Skewness (39/119)[/C]

0.067600[/C]

0.849200[/C][C]Trim. Kurtosis (39/119)[/C]

-1.123100[/C]

0.118800[/C][/ROW] [ROW][C]Trim. Skewness (40/119)[/C]

0.127100[/C]

0.733800[/C][C]Trim. Kurtosis (40/119)[/C]

-1.168700[/C]

0.114200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103867&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103867&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 (0/119)	-0.361000	0.103200	Trim. Kurtosis (0/119)	0.659700	0.133600
Trim. Skewness (1/119)	-0.310900	0.161600	Trim. Kurtosis (1/119)	0.390300	0.378800
Trim. Skewness (2/119)	-0.308500	0.170600	Trim. Kurtosis (2/119)	0.344700	0.435400
Trim. Skewness (3/119)	-0.285000	0.207600	Trim. Kurtosis (3/119)	0.253600	0.568600
Trim. Skewness (4/119)	-0.261800	0.250200	Trim. Kurtosis (4/119)	0.089600	0.841400
Trim. Skewness (5/119)	-0.202500	0.378800	Trim. Kurtosis (5/119)	-0.115300	0.794800
Trim. Skewness (6/119)	-0.132400	0.568600	Trim. Kurtosis (6/119)	-0.397100	0.389800
Trim. Skewness (7/119)	-0.060600	0.794800	Trim. Kurtosis (7/119)	-0.538400	0.246000
Trim. Skewness (8/119)	-0.018700	0.936200	Trim. Kurtosis (8/119)	-0.589900	0.207600
Trim. Skewness (9/119)	0.041500	0.857200	Trim. Kurtosis (9/119)	-0.679700	0.152800
Trim. Skewness (10/119)	0.044800	0.849200	Trim. Kurtosis (10/119)	-0.655100	0.170600
Trim. Skewness (11/119)	0.047700	0.841400	Trim. Kurtosis (11/119)	-0.634700	0.190200
Trim. Skewness (12/119)	0.046200	0.849200	Trim. Kurtosis (12/119)	-0.611100	0.211200
Trim. Skewness (13/119)	0.042700	0.857200	Trim. Kurtosis (13/119)	-0.599400	0.222400
Trim. Skewness (14/119)	0.047600	0.849200	Trim. Kurtosis (14/119)	-0.589300	0.238000
Trim. Skewness (15/119)	0.047800	0.849200	Trim. Kurtosis (15/119)	-0.563000	0.262800
Trim. Skewness (16/119)	0.048500	0.849200	Trim. Kurtosis (16/119)	-0.551700	0.280200
Trim. Skewness (17/119)	0.048900	0.849200	Trim. Kurtosis (17/119)	-0.566700	0.271400
Trim. Skewness (18/119)	0.065500	0.802600	Trim. Kurtosis (18/119)	-0.568200	0.275800
Trim. Skewness (19/119)	0.090800	0.733800	Trim. Kurtosis (19/119)	-0.567600	0.280200
Trim. Skewness (20/119)	0.085300	0.749000	Trim. Kurtosis (20/119)	-0.528500	0.322200
Trim. Skewness (21/119)	0.083800	0.756600	Trim. Kurtosis (21/119)	-0.494800	0.357600
Trim. Skewness (22/119)	0.075200	0.779400	Trim. Kurtosis (22/119)	-0.475000	0.384400
Trim. Skewness (23/119)	0.048300	0.857200	Trim. Kurtosis (23/119)	-0.473100	0.389800
Trim. Skewness (24/119)	0.013200	0.960200	Trim. Kurtosis (24/119)	-0.509900	0.362800
Trim. Skewness (25/119)	-0.017500	0.944200	Trim. Kurtosis (25/119)	-0.551700	0.332000
Trim. Skewness (26/119)	-0.075700	0.794800	Trim. Kurtosis (26/119)	-0.652600	0.258400
Trim. Skewness (27/119)	-0.122200	0.674400	Trim. Kurtosis (27/119)	-0.741800	0.204000
Trim. Skewness (28/119)	-0.149700	0.617000	Trim. Kurtosis (28/119)	-0.838000	0.158600
Trim. Skewness (29/119)	-0.153000	0.617000	Trim. Kurtosis (29/119)	-0.888900	0.138800
Trim. Skewness (30/119)	-0.147300	0.631200	Trim. Kurtosis (30/119)	-0.941200	0.123600
Trim. Skewness (31/119)	-0.138900	0.660000	Trim. Kurtosis (31/119)	-0.948800	0.126000
Trim. Skewness (32/119)	-0.128900	0.681800	Trim. Kurtosis (32/119)	-0.983000	0.118800
Trim. Skewness (33/119)	-0.110500	0.733800	Trim. Kurtosis (33/119)	-1.035500	0.107400
Trim. Skewness (34/119)	-0.089600	0.787200	Trim. Kurtosis (34/119)	-1.057900	0.105200
Trim. Skewness (35/119)	-0.068700	0.833600	Trim. Kurtosis (35/119)	-1.034300	0.121200
Trim. Skewness (36/119)	-0.031600	0.920400	Trim. Kurtosis (36/119)	-1.033600	0.128600
Trim. Skewness (37/119)	0.021000	0.952200	Trim. Kurtosis (37/119)	-1.076200	0.121200
Trim. Skewness (38/119)	0.041800	0.904400	Trim. Kurtosis (38/119)	-1.078600	0.126000
Trim. Skewness (39/119)	0.067600	0.849200	Trim. Kurtosis (39/119)	-1.123100	0.118800
Trim. Skewness (40/119)	0.127100	0.733800	Trim. Kurtosis (40/119)	-1.168700	0.114200

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