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*The author of this computation has been verified*

R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 22:48:05 +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/t1291157162ctuerysliz98wjr.htm/, Retrieved Mon, 29 Apr 2024 16:09:41 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103864, Retrieved Mon, 29 Apr 2024 16:09:41 +0000

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No (this computation is public)

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Estimated Impact

132

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 22:48:05] [13dfa60174f50d862e8699db2153bfc5] [Current]

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0,010621234
0,004989339
0,000450747
0,011996621
0,008247719
0,005978583
-0,007270486
0,004718307
0,008030978
0,003337534
0,002486426
0,010612987
0,002011557
-0,01138665
0,00816367
0,004825544
-0,01052396
-0,001230878
-0,002059247
0,011005705
0,005598717
-0,004794468
0,004794468
0,008265029
0,003494565
0,004998575
-0,030072466
-0,000409905
0,014121362
0,001585018
0,005111719
0,003503964
-0,015392329
0,006776646
-0,009193876
-0,001213679
-0,006942326
-0,011259345
-0,005099407
0,006364957
-0,00850751
-0,012639668
-0,001328796
0,003094223
0,002634757
-0,004400184
0,007019054
-0,002618869
0,007809702
-0,002587661
-0,002168225
-0,007896481
0,006590331
0,008206704
0,001708142
-0,01210053
-0,0057348
-0,013530517
-0,010666605
-0,003299052
-0,009566345
-0,008300428
-0,016068218
0,006095461
0,003015946
0,003492335
-0,006508281
0,008985724
0,010253634
0,003364778
0,005708224
-0,010523068
-0,001454924
-0,003413899
0,002441235
-0,000974848
0,010604832
0,014516854
0,004581208
-0,000455952
-0,000456431
0,006346796
0,003138952
-0,004942877
-0,021777192
0,011719397
-0,005585858
0,007431959
-0,002308854
-0,007471917
-0,000471291
-0,006652343
-0,005299277
-0,003895044
0
-0,000489346
-0,01799406
-0,00204615
-0,006196935
0,005170233
0,011162389
-0,013739811
0,010219165
-0,008670877
0,010686168
-0,010686168
-0,013605518
0,002649761
0,004206275
0,000522931
0,009817902
0,001530105
0,00354942
0,013425169
0,001466387
-0,003921422
-0,002964479
0,04650051
-0,004927582

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	0.281160	FISHER beta 2	7.635904
FISHER gamma 1	0.530245	FISHER gamma 2	4.635904
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	2.361427	FISHER Test 2	10.322913
FISHER Test 1 Probability	0.017800	FISHER Test 2 Probability	0.000000
Pearson 2	-0.125867
Yule using Quartile definition:Weighted Average at Xnp	-0.078353
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.056478
Yule using Quartile definition:Empirical Distribution Function	-0.056478
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.056478
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.057153
Yule using Quartile definition:Closest Observation	-0.081768
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.056478
Yule using Quartile definition:MS Excel (old versions)	-0.056478
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	0.537038	Kurtosis (small sample)	4.888918
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	2.421467	TEST 1 (small sample)	11.108728
TEST 1 Prob. (small sample)	0.015000	TEST 1 Prob. (small sample)	0.000000
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

0.281160 & FISHER beta 2

7.635904 \tabularnewline FISHER gamma 1

0.530245 & FISHER gamma 2

4.635904 \tabularnewline FISHER gamma 1 (S.E.)

0.224544 & FISHER gamma 2 (S.E.)

0.449089 \tabularnewline FISHER Test 1

2.361427 & FISHER Test 2

10.322913 \tabularnewline FISHER Test 1 Probability

0.017800 & FISHER Test 2 Probability

0.000000 \tabularnewline Pearson 2

-0.125867 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.078353 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

-0.056478 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

-0.056478 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

-0.056478 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

-0.057153 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.081768 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

-0.056478 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

-0.056478 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

0.537038 & Kurtosis (small sample)

4.888918 \tabularnewline Skewness S.E. (small sample)

0.221782 & Kurtosis S.E. (small sample)

0.440097 \tabularnewline TEST 1 (small sample)

2.421467 & TEST 1 (small sample)

11.108728 \tabularnewline TEST 1 Prob. (small sample)

0.015000 & TEST 1 Prob. (small sample)

0.000000 \tabularnewline Observations

119 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103864&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]

0.281160[/C][C]FISHER beta 2[/C]

7.635904[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

0.530245[/C][C]FISHER gamma 2[/C]

4.635904[/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]

2.361427[/C][C]FISHER Test 2[/C]

10.322913[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.017800[/C][C]FISHER Test 2 Probability[/C]

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

-0.125867[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.078353[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

-0.056478[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

-0.056478[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

-0.056478[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

-0.057153[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.081768[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

-0.056478[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

-0.056478[/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]

0.537038[/C][C]Kurtosis (small sample)[/C]

4.888918[/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]

2.421467[/C][C]TEST 1 (small sample)[/C]

11.108728[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.015000[/C][C]TEST 1 Prob. (small sample)[/C]

0.000000[/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=103864&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103864&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	0.281160	FISHER beta 2	7.635904
FISHER gamma 1	0.530245	FISHER gamma 2	4.635904
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	2.361427	FISHER Test 2	10.322913
FISHER Test 1 Probability	0.017800	FISHER Test 2 Probability	0.000000
Pearson 2	-0.125867
Yule using Quartile definition:Weighted Average at Xnp	-0.078353
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.056478
Yule using Quartile definition:Empirical Distribution Function	-0.056478
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.056478
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.057153
Yule using Quartile definition:Closest Observation	-0.081768
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.056478
Yule using Quartile definition:MS Excel (old versions)	-0.056478
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	0.537038	Kurtosis (small sample)	4.888918
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	2.421467	TEST 1 (small sample)	11.108728
TEST 1 Prob. (small sample)	0.015000	TEST 1 Prob. (small sample)	0.000000
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)	0.537000	0.015000	Trim. Kurtosis (0/119)	4.888900	0.000000
Trim. Skewness (1/119)	-0.371000	0.097000	Trim. Kurtosis (1/119)	-0.439700	0.317400
Trim. Skewness (2/119)	-0.298700	0.183600	Trim. Kurtosis (2/119)	-0.687400	0.123600
Trim. Skewness (3/119)	-0.276600	0.222400	Trim. Kurtosis (3/119)	-0.787900	0.080200
Trim. Skewness (4/119)	-0.269400	0.238000	Trim. Kurtosis (4/119)	-0.842000	0.062800
Trim. Skewness (5/119)	-0.251500	0.275800	Trim. Kurtosis (5/119)	-0.883500	0.053600
Trim. Skewness (6/119)	-0.248500	0.284600	Trim. Kurtosis (6/119)	-0.890700	0.053600
Trim. Skewness (7/119)	-0.239000	0.307800	Trim. Kurtosis (7/119)	-0.902800	0.052400
Trim. Skewness (8/119)	-0.224800	0.342200	Trim. Kurtosis (8/119)	-0.928500	0.048800
Trim. Skewness (9/119)	-0.215800	0.368200	Trim. Kurtosis (9/119)	-0.939700	0.047800
Trim. Skewness (10/119)	-0.210700	0.384400	Trim. Kurtosis (10/119)	-0.948800	0.047800
Trim. Skewness (11/119)	-0.213800	0.378800	Trim. Kurtosis (11/119)	-0.951300	0.048800
Trim. Skewness (12/119)	-0.218000	0.373400	Trim. Kurtosis (12/119)	-0.964500	0.048800
Trim. Skewness (13/119)	-0.225300	0.362800	Trim. Kurtosis (13/119)	-0.970200	0.050000
Trim. Skewness (14/119)	-0.232700	0.352400	Trim. Kurtosis (14/119)	-0.992200	0.046600
Trim. Skewness (15/119)	-0.235300	0.352400	Trim. Kurtosis (15/119)	-1.023200	0.042400
Trim. Skewness (16/119)	-0.220900	0.389800	Trim. Kurtosis (16/119)	-1.065000	0.036600
Trim. Skewness (17/119)	-0.210000	0.418000	Trim. Kurtosis (17/119)	-1.075700	0.036600
Trim. Skewness (18/119)	-0.202000	0.441200	Trim. Kurtosis (18/119)	-1.087100	0.036600
Trim. Skewness (19/119)	-0.200500	0.453200	Trim. Kurtosis (19/119)	-1.092800	0.038400
Trim. Skewness (20/119)	-0.199500	0.459200	Trim. Kurtosis (20/119)	-1.107700	0.037600
Trim. Skewness (21/119)	-0.198300	0.465400	Trim. Kurtosis (21/119)	-1.131300	0.036600
Trim. Skewness (22/119)	-0.199900	0.465400	Trim. Kurtosis (22/119)	-1.152900	0.034800
Trim. Skewness (23/119)	-0.201800	0.471600	Trim. Kurtosis (23/119)	-1.165800	0.035800
Trim. Skewness (24/119)	-0.197600	0.484000	Trim. Kurtosis (24/119)	-1.177900	0.035800
Trim. Skewness (25/119)	-0.193500	0.496400	Trim. Kurtosis (25/119)	-1.186300	0.036600
Trim. Skewness (26/119)	-0.189800	0.515600	Trim. Kurtosis (26/119)	-1.192900	0.038400
Trim. Skewness (27/119)	-0.181400	0.535200	Trim. Kurtosis (27/119)	-1.205100	0.039400
Trim. Skewness (28/119)	-0.177700	0.555200	Trim. Kurtosis (28/119)	-1.219500	0.039400
Trim. Skewness (29/119)	-0.178600	0.555200	Trim. Kurtosis (29/119)	-1.219300	0.043400
Trim. Skewness (30/119)	-0.179000	0.562000	Trim. Kurtosis (30/119)	-1.224500	0.045600
Trim. Skewness (31/119)	-0.178500	0.568600	Trim. Kurtosis (31/119)	-1.222100	0.048800
Trim. Skewness (32/119)	-0.179200	0.575400	Trim. Kurtosis (32/119)	-1.221300	0.053600
Trim. Skewness (33/119)	-0.168600	0.603000	Trim. Kurtosis (33/119)	-1.215300	0.058800
Trim. Skewness (34/119)	-0.149000	0.652800	Trim. Kurtosis (34/119)	-1.230000	0.060200
Trim. Skewness (35/119)	-0.120400	0.718800	Trim. Kurtosis (35/119)	-1.264100	0.057400
Trim. Skewness (36/119)	-0.100900	0.764200	Trim. Kurtosis (36/119)	-1.295700	0.056200
Trim. Skewness (37/119)	-0.092600	0.787200	Trim. Kurtosis (37/119)	-1.305200	0.060200
Trim. Skewness (38/119)	-0.077300	0.825800	Trim. Kurtosis (38/119)	-1.352100	0.056200
Trim. Skewness (39/119)	-0.083800	0.818000	Trim. Kurtosis (39/119)	-1.387600	0.054800
Trim. Skewness (40/119)	-0.089400	0.810400	Trim. Kurtosis (40/119)	-1.454900	0.048800

\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)

0.537000

0.015000 & Trim. Kurtosis (0/119)

4.888900

0.000000 \tabularnewline Trim. Skewness (1/119)

-0.371000

0.097000 & Trim. Kurtosis (1/119)

-0.439700

0.317400 \tabularnewline Trim. Skewness (2/119)

-0.298700

0.183600 & Trim. Kurtosis (2/119)

-0.687400

0.123600 \tabularnewline Trim. Skewness (3/119)

-0.276600

0.222400 & Trim. Kurtosis (3/119)

-0.787900

0.080200 \tabularnewline Trim. Skewness (4/119)

-0.269400

0.238000 & Trim. Kurtosis (4/119)

-0.842000

0.062800 \tabularnewline Trim. Skewness (5/119)

-0.251500

0.275800 & Trim. Kurtosis (5/119)

-0.883500

0.053600 \tabularnewline Trim. Skewness (6/119)

-0.248500

0.284600 & Trim. Kurtosis (6/119)

-0.890700

0.053600 \tabularnewline Trim. Skewness (7/119)

-0.239000

0.307800 & Trim. Kurtosis (7/119)

-0.902800

0.052400 \tabularnewline Trim. Skewness (8/119)

-0.224800

0.342200 & Trim. Kurtosis (8/119)

-0.928500

0.048800 \tabularnewline Trim. Skewness (9/119)

-0.215800

0.368200 & Trim. Kurtosis (9/119)

-0.939700

0.047800 \tabularnewline Trim. Skewness (10/119)

-0.210700

0.384400 & Trim. Kurtosis (10/119)

-0.948800

0.047800 \tabularnewline Trim. Skewness (11/119)

-0.213800

0.378800 & Trim. Kurtosis (11/119)

-0.951300

0.048800 \tabularnewline Trim. Skewness (12/119)

-0.218000

0.373400 & Trim. Kurtosis (12/119)

-0.964500

0.048800 \tabularnewline Trim. Skewness (13/119)

-0.225300

0.362800 & Trim. Kurtosis (13/119)

-0.970200

0.050000 \tabularnewline Trim. Skewness (14/119)

-0.232700

0.352400 & Trim. Kurtosis (14/119)

-0.992200

0.046600 \tabularnewline Trim. Skewness (15/119)

-0.235300

0.352400 & Trim. Kurtosis (15/119)

-1.023200

0.042400 \tabularnewline Trim. Skewness (16/119)

-0.220900

0.389800 & Trim. Kurtosis (16/119)

-1.065000

0.036600 \tabularnewline Trim. Skewness (17/119)

-0.210000

0.418000 & Trim. Kurtosis (17/119)

-1.075700

0.036600 \tabularnewline Trim. Skewness (18/119)

-0.202000

0.441200 & Trim. Kurtosis (18/119)

-1.087100

0.036600 \tabularnewline Trim. Skewness (19/119)

-0.200500

0.453200 & Trim. Kurtosis (19/119)

-1.092800

0.038400 \tabularnewline Trim. Skewness (20/119)

-0.199500

0.459200 & Trim. Kurtosis (20/119)

-1.107700

0.037600 \tabularnewline Trim. Skewness (21/119)

-0.198300

0.465400 & Trim. Kurtosis (21/119)

-1.131300

0.036600 \tabularnewline Trim. Skewness (22/119)

-0.199900

0.465400 & Trim. Kurtosis (22/119)

-1.152900

0.034800 \tabularnewline Trim. Skewness (23/119)

-0.201800

0.471600 & Trim. Kurtosis (23/119)

-1.165800

0.035800 \tabularnewline Trim. Skewness (24/119)

-0.197600

0.484000 & Trim. Kurtosis (24/119)

-1.177900

0.035800 \tabularnewline Trim. Skewness (25/119)

-0.193500

0.496400 & Trim. Kurtosis (25/119)

-1.186300

0.036600 \tabularnewline Trim. Skewness (26/119)

-0.189800

0.515600 & Trim. Kurtosis (26/119)

-1.192900

0.038400 \tabularnewline Trim. Skewness (27/119)

-0.181400

0.535200 & Trim. Kurtosis (27/119)

-1.205100

0.039400 \tabularnewline Trim. Skewness (28/119)

-0.177700

0.555200 & Trim. Kurtosis (28/119)

-1.219500

0.039400 \tabularnewline Trim. Skewness (29/119)

-0.178600

0.555200 & Trim. Kurtosis (29/119)

-1.219300

0.043400 \tabularnewline Trim. Skewness (30/119)

-0.179000

0.562000 & Trim. Kurtosis (30/119)

-1.224500

0.045600 \tabularnewline Trim. Skewness (31/119)

-0.178500

0.568600 & Trim. Kurtosis (31/119)

-1.222100

0.048800 \tabularnewline Trim. Skewness (32/119)

-0.179200

0.575400 & Trim. Kurtosis (32/119)

-1.221300

0.053600 \tabularnewline Trim. Skewness (33/119)

-0.168600

0.603000 & Trim. Kurtosis (33/119)

-1.215300

0.058800 \tabularnewline Trim. Skewness (34/119)

-0.149000

0.652800 & Trim. Kurtosis (34/119)

-1.230000

0.060200 \tabularnewline Trim. Skewness (35/119)

-0.120400

0.718800 & Trim. Kurtosis (35/119)

-1.264100

0.057400 \tabularnewline Trim. Skewness (36/119)

-0.100900

0.764200 & Trim. Kurtosis (36/119)

-1.295700

0.056200 \tabularnewline Trim. Skewness (37/119)

-0.092600

0.787200 & Trim. Kurtosis (37/119)

-1.305200

0.060200 \tabularnewline Trim. Skewness (38/119)

-0.077300

0.825800 & Trim. Kurtosis (38/119)

-1.352100

0.056200 \tabularnewline Trim. Skewness (39/119)

-0.083800

0.818000 & Trim. Kurtosis (39/119)

-1.387600

0.054800 \tabularnewline Trim. Skewness (40/119)

-0.089400

0.810400 & Trim. Kurtosis (40/119)

-1.454900

0.048800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103864&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]

0.537000[/C]

0.015000[/C][C]Trim. Kurtosis (0/119)[/C]

4.888900[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (1/119)[/C]

-0.371000[/C]

0.097000[/C][C]Trim. Kurtosis (1/119)[/C]

-0.439700[/C]

0.317400[/C][/ROW] [ROW][C]Trim. Skewness (2/119)[/C]

-0.298700[/C]

0.183600[/C][C]Trim. Kurtosis (2/119)[/C]

-0.687400[/C]

0.123600[/C][/ROW] [ROW][C]Trim. Skewness (3/119)[/C]

-0.276600[/C]

0.222400[/C][C]Trim. Kurtosis (3/119)[/C]

-0.787900[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (4/119)[/C]

-0.269400[/C]

0.238000[/C][C]Trim. Kurtosis (4/119)[/C]

-0.842000[/C]

0.062800[/C][/ROW] [ROW][C]Trim. Skewness (5/119)[/C]

-0.251500[/C]

0.275800[/C][C]Trim. Kurtosis (5/119)[/C]

-0.883500[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (6/119)[/C]

-0.248500[/C]

0.284600[/C][C]Trim. Kurtosis (6/119)[/C]

-0.890700[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (7/119)[/C]

-0.239000[/C]

0.307800[/C][C]Trim. Kurtosis (7/119)[/C]

-0.902800[/C]

0.052400[/C][/ROW] [ROW][C]Trim. Skewness (8/119)[/C]

-0.224800[/C]

0.342200[/C][C]Trim. Kurtosis (8/119)[/C]

-0.928500[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (9/119)[/C]

-0.215800[/C]

0.368200[/C][C]Trim. Kurtosis (9/119)[/C]

-0.939700[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (10/119)[/C]

-0.210700[/C]

0.384400[/C][C]Trim. Kurtosis (10/119)[/C]

-0.948800[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (11/119)[/C]

-0.213800[/C]

0.378800[/C][C]Trim. Kurtosis (11/119)[/C]

-0.951300[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (12/119)[/C]

-0.218000[/C]

0.373400[/C][C]Trim. Kurtosis (12/119)[/C]

-0.964500[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (13/119)[/C]

-0.225300[/C]

0.362800[/C][C]Trim. Kurtosis (13/119)[/C]

-0.970200[/C]

0.050000[/C][/ROW] [ROW][C]Trim. Skewness (14/119)[/C]

-0.232700[/C]

0.352400[/C][C]Trim. Kurtosis (14/119)[/C]

-0.992200[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (15/119)[/C]

-0.235300[/C]

0.352400[/C][C]Trim. Kurtosis (15/119)[/C]

-1.023200[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (16/119)[/C]

-0.220900[/C]

0.389800[/C][C]Trim. Kurtosis (16/119)[/C]

-1.065000[/C]

0.036600[/C][/ROW] [ROW][C]Trim. Skewness (17/119)[/C]

-0.210000[/C]

0.418000[/C][C]Trim. Kurtosis (17/119)[/C]

-1.075700[/C]

0.036600[/C][/ROW] [ROW][C]Trim. Skewness (18/119)[/C]

-0.202000[/C]

0.441200[/C][C]Trim. Kurtosis (18/119)[/C]

-1.087100[/C]

0.036600[/C][/ROW] [ROW][C]Trim. Skewness (19/119)[/C]

-0.200500[/C]

0.453200[/C][C]Trim. Kurtosis (19/119)[/C]

-1.092800[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (20/119)[/C]

-0.199500[/C]

0.459200[/C][C]Trim. Kurtosis (20/119)[/C]

-1.107700[/C]

0.037600[/C][/ROW] [ROW][C]Trim. Skewness (21/119)[/C]

-0.198300[/C]

0.465400[/C][C]Trim. Kurtosis (21/119)[/C]

-1.131300[/C]

0.036600[/C][/ROW] [ROW][C]Trim. Skewness (22/119)[/C]

-0.199900[/C]

0.465400[/C][C]Trim. Kurtosis (22/119)[/C]

-1.152900[/C]

0.034800[/C][/ROW] [ROW][C]Trim. Skewness (23/119)[/C]

-0.201800[/C]

0.471600[/C][C]Trim. Kurtosis (23/119)[/C]

-1.165800[/C]

0.035800[/C][/ROW] [ROW][C]Trim. Skewness (24/119)[/C]

-0.197600[/C]

0.484000[/C][C]Trim. Kurtosis (24/119)[/C]

-1.177900[/C]

0.035800[/C][/ROW] [ROW][C]Trim. Skewness (25/119)[/C]

-0.193500[/C]

0.496400[/C][C]Trim. Kurtosis (25/119)[/C]

-1.186300[/C]

0.036600[/C][/ROW] [ROW][C]Trim. Skewness (26/119)[/C]

-0.189800[/C]

0.515600[/C][C]Trim. Kurtosis (26/119)[/C]

-1.192900[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (27/119)[/C]

-0.181400[/C]

0.535200[/C][C]Trim. Kurtosis (27/119)[/C]

-1.205100[/C]

0.039400[/C][/ROW] [ROW][C]Trim. Skewness (28/119)[/C]

-0.177700[/C]

0.555200[/C][C]Trim. Kurtosis (28/119)[/C]

-1.219500[/C]

0.039400[/C][/ROW] [ROW][C]Trim. Skewness (29/119)[/C]

-0.178600[/C]

0.555200[/C][C]Trim. Kurtosis (29/119)[/C]

-1.219300[/C]

0.043400[/C][/ROW] [ROW][C]Trim. Skewness (30/119)[/C]

-0.179000[/C]

0.562000[/C][C]Trim. Kurtosis (30/119)[/C]

-1.224500[/C]

0.045600[/C][/ROW] [ROW][C]Trim. Skewness (31/119)[/C]

-0.178500[/C]

0.568600[/C][C]Trim. Kurtosis (31/119)[/C]

-1.222100[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (32/119)[/C]

-0.179200[/C]

0.575400[/C][C]Trim. Kurtosis (32/119)[/C]

-1.221300[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (33/119)[/C]

-0.168600[/C]

0.603000[/C][C]Trim. Kurtosis (33/119)[/C]

-1.215300[/C]

0.058800[/C][/ROW] [ROW][C]Trim. Skewness (34/119)[/C]

-0.149000[/C]

0.652800[/C][C]Trim. Kurtosis (34/119)[/C]

-1.230000[/C]

0.060200[/C][/ROW] [ROW][C]Trim. Skewness (35/119)[/C]

-0.120400[/C]

0.718800[/C][C]Trim. Kurtosis (35/119)[/C]

-1.264100[/C]

0.057400[/C][/ROW] [ROW][C]Trim. Skewness (36/119)[/C]

-0.100900[/C]

0.764200[/C][C]Trim. Kurtosis (36/119)[/C]

-1.295700[/C]

0.056200[/C][/ROW] [ROW][C]Trim. Skewness (37/119)[/C]

-0.092600[/C]

0.787200[/C][C]Trim. Kurtosis (37/119)[/C]

-1.305200[/C]

0.060200[/C][/ROW] [ROW][C]Trim. Skewness (38/119)[/C]

-0.077300[/C]

0.825800[/C][C]Trim. Kurtosis (38/119)[/C]

-1.352100[/C]

0.056200[/C][/ROW] [ROW][C]Trim. Skewness (39/119)[/C]

-0.083800[/C]

0.818000[/C][C]Trim. Kurtosis (39/119)[/C]

-1.387600[/C]

0.054800[/C][/ROW] [ROW][C]Trim. Skewness (40/119)[/C]

-0.089400[/C]

0.810400[/C][C]Trim. Kurtosis (40/119)[/C]

-1.454900[/C]

0.048800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103864&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103864&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)	0.537000	0.015000	Trim. Kurtosis (0/119)	4.888900	0.000000
Trim. Skewness (1/119)	-0.371000	0.097000	Trim. Kurtosis (1/119)	-0.439700	0.317400
Trim. Skewness (2/119)	-0.298700	0.183600	Trim. Kurtosis (2/119)	-0.687400	0.123600
Trim. Skewness (3/119)	-0.276600	0.222400	Trim. Kurtosis (3/119)	-0.787900	0.080200
Trim. Skewness (4/119)	-0.269400	0.238000	Trim. Kurtosis (4/119)	-0.842000	0.062800
Trim. Skewness (5/119)	-0.251500	0.275800	Trim. Kurtosis (5/119)	-0.883500	0.053600
Trim. Skewness (6/119)	-0.248500	0.284600	Trim. Kurtosis (6/119)	-0.890700	0.053600
Trim. Skewness (7/119)	-0.239000	0.307800	Trim. Kurtosis (7/119)	-0.902800	0.052400
Trim. Skewness (8/119)	-0.224800	0.342200	Trim. Kurtosis (8/119)	-0.928500	0.048800
Trim. Skewness (9/119)	-0.215800	0.368200	Trim. Kurtosis (9/119)	-0.939700	0.047800
Trim. Skewness (10/119)	-0.210700	0.384400	Trim. Kurtosis (10/119)	-0.948800	0.047800
Trim. Skewness (11/119)	-0.213800	0.378800	Trim. Kurtosis (11/119)	-0.951300	0.048800
Trim. Skewness (12/119)	-0.218000	0.373400	Trim. Kurtosis (12/119)	-0.964500	0.048800
Trim. Skewness (13/119)	-0.225300	0.362800	Trim. Kurtosis (13/119)	-0.970200	0.050000
Trim. Skewness (14/119)	-0.232700	0.352400	Trim. Kurtosis (14/119)	-0.992200	0.046600
Trim. Skewness (15/119)	-0.235300	0.352400	Trim. Kurtosis (15/119)	-1.023200	0.042400
Trim. Skewness (16/119)	-0.220900	0.389800	Trim. Kurtosis (16/119)	-1.065000	0.036600
Trim. Skewness (17/119)	-0.210000	0.418000	Trim. Kurtosis (17/119)	-1.075700	0.036600
Trim. Skewness (18/119)	-0.202000	0.441200	Trim. Kurtosis (18/119)	-1.087100	0.036600
Trim. Skewness (19/119)	-0.200500	0.453200	Trim. Kurtosis (19/119)	-1.092800	0.038400
Trim. Skewness (20/119)	-0.199500	0.459200	Trim. Kurtosis (20/119)	-1.107700	0.037600
Trim. Skewness (21/119)	-0.198300	0.465400	Trim. Kurtosis (21/119)	-1.131300	0.036600
Trim. Skewness (22/119)	-0.199900	0.465400	Trim. Kurtosis (22/119)	-1.152900	0.034800
Trim. Skewness (23/119)	-0.201800	0.471600	Trim. Kurtosis (23/119)	-1.165800	0.035800
Trim. Skewness (24/119)	-0.197600	0.484000	Trim. Kurtosis (24/119)	-1.177900	0.035800
Trim. Skewness (25/119)	-0.193500	0.496400	Trim. Kurtosis (25/119)	-1.186300	0.036600
Trim. Skewness (26/119)	-0.189800	0.515600	Trim. Kurtosis (26/119)	-1.192900	0.038400
Trim. Skewness (27/119)	-0.181400	0.535200	Trim. Kurtosis (27/119)	-1.205100	0.039400
Trim. Skewness (28/119)	-0.177700	0.555200	Trim. Kurtosis (28/119)	-1.219500	0.039400
Trim. Skewness (29/119)	-0.178600	0.555200	Trim. Kurtosis (29/119)	-1.219300	0.043400
Trim. Skewness (30/119)	-0.179000	0.562000	Trim. Kurtosis (30/119)	-1.224500	0.045600
Trim. Skewness (31/119)	-0.178500	0.568600	Trim. Kurtosis (31/119)	-1.222100	0.048800
Trim. Skewness (32/119)	-0.179200	0.575400	Trim. Kurtosis (32/119)	-1.221300	0.053600
Trim. Skewness (33/119)	-0.168600	0.603000	Trim. Kurtosis (33/119)	-1.215300	0.058800
Trim. Skewness (34/119)	-0.149000	0.652800	Trim. Kurtosis (34/119)	-1.230000	0.060200
Trim. Skewness (35/119)	-0.120400	0.718800	Trim. Kurtosis (35/119)	-1.264100	0.057400
Trim. Skewness (36/119)	-0.100900	0.764200	Trim. Kurtosis (36/119)	-1.295700	0.056200
Trim. Skewness (37/119)	-0.092600	0.787200	Trim. Kurtosis (37/119)	-1.305200	0.060200
Trim. Skewness (38/119)	-0.077300	0.825800	Trim. Kurtosis (38/119)	-1.352100	0.056200
Trim. Skewness (39/119)	-0.083800	0.818000	Trim. Kurtosis (39/119)	-1.387600	0.054800
Trim. Skewness (40/119)	-0.089400	0.810400	Trim. Kurtosis (40/119)	-1.454900	0.048800

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