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

Tue, 30 Nov 2010 22:38:58 +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/t1291156618bq6g2xmur4hzxyz.htm/, Retrieved Mon, 29 Apr 2024 12:15:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103855, Retrieved Mon, 29 Apr 2024 12:15:33 +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

199

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 22:38:58] [13dfa60174f50d862e8699db2153bfc5] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

0,03306575
-0,030512338
0,004504783
0,020603191
-0,005315762
0,037449643
-0,045225849
-0,00914445
0,021185028
-0,020271777
0,044308583
-0,032035315
-0,008473373
0,018017956
-0,031895811
-0,002566255
0,03500322
0,014397339
-0,063518536
-0,006740216
0,087916063
-0,039982736
-0,035272334
-0,025877428
0,064718418
-0,004619685
0,000687716
0,026386801
-0,071463325
0,03100634
0,000509248
0,03532553
-0,006110854
-0,003726058
-0,028635848
0,009712461
-0,016233617
0,010315241
0,009733806
-0,032653618
0,008270655
0,021702535
0,001242826
-0,004919863
-0,018334585
0,01757247
0,006821868
0,008101149
-0,076989633
0,087343763
-0,013191691
0,020892239
-0,018991897
0,023388737
-0,035023562
0,023591207
-0,044945827
0,049430611
-0,05492448
-0,016456068
0,020421461
0,061957551
-0,03557772
-0,010968965
-0,023612343
0,02533576
0,003084235
0,007083266
0,01736748
-0,02770009
-0,051339913
0,029992514
0,050650699
-0,014397343
-0,022455168
0,033822073
-0,077395434
0,073544856
-0,020805909
0,013712912
-0,02215535
-0,033220546
0,030991865
-0,052884077
0,012885255
0,034052248
0,016002145
0,02188632
-0,030340736
0,053370511
-0,116998816
0,075392382
0,029594669
-0,056491798
-0,002809349
0,012729625
-0,001248533
0,012281351
0,00018372
0,018355272
-0,034451985
0,007542566
0,014108274
0,022759304
0,021906079
-0,049961008
-0,01443777
0,042394125
-0,062327528
0,06373883
-0,02294398
-0,013004496
-0,001165026
0,000891601
0,018459821
-0,032633652
0,041124829
-0,091129261
0,082022189

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-0.000009	FISHER 4th Cent. Mom.	0.000007
FISHER beta 1	0.031028	FISHER beta 2	3.357091
FISHER gamma 1	-0.176148	FISHER gamma 2	0.357091
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-0.784467	FISHER Test 2	0.795146
FISHER Test 1 Probability	0.429600	FISHER Test 2 Probability	0.423800
Pearson 2	-0.060396
Yule using Quartile definition:Weighted Average at Xnp	-0.088356
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.076661
Yule using Quartile definition:Empirical Distribution Function	-0.076661
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.076661
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.070065
Yule using Quartile definition:Closest Observation	-0.077128
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.076661
Yule using Quartile definition:MS Excel (old versions)	-0.076661
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.178404	Kurtosis (small sample)	0.424728
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-0.804412	TEST 1 (small sample)	0.965078
TEST 1 Prob. (small sample)	0.418000	TEST 1 Prob. (small sample)	0.332000
Observations	119

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-0.000009 & FISHER 4th Cent. Mom.

0.000007 \tabularnewline FISHER beta 1

0.031028 & FISHER beta 2

3.357091 \tabularnewline FISHER gamma 1

-0.176148 & FISHER gamma 2

0.357091 \tabularnewline FISHER gamma 1 (S.E.)

0.224544 & FISHER gamma 2 (S.E.)

0.449089 \tabularnewline FISHER Test 1

-0.784467 & FISHER Test 2

0.795146 \tabularnewline FISHER Test 1 Probability

0.429600 & FISHER Test 2 Probability

0.423800 \tabularnewline Pearson 2

-0.060396 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.088356 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

-0.076661 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

-0.076661 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

-0.076661 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

-0.070065 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.077128 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

-0.076661 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

-0.076661 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.178404 & Kurtosis (small sample)

0.424728 \tabularnewline Skewness S.E. (small sample)

0.221782 & Kurtosis S.E. (small sample)

0.440097 \tabularnewline TEST 1 (small sample)

-0.804412 & TEST 1 (small sample)

0.965078 \tabularnewline TEST 1 Prob. (small sample)

0.418000 & TEST 1 Prob. (small sample)

0.332000 \tabularnewline Observations

119 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103855&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]

-0.000009[/C][C]FISHER 4th Cent. Mom.[/C]

0.000007[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.031028[/C][C]FISHER beta 2[/C]

3.357091[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.176148[/C][C]FISHER gamma 2[/C]

0.357091[/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]

-0.784467[/C][C]FISHER Test 2[/C]

0.795146[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.429600[/C][C]FISHER Test 2 Probability[/C]

0.423800[/C][/ROW] [ROW][C]Pearson 2[/C]

-0.060396[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.088356[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

-0.076661[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

-0.076661[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

-0.076661[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

-0.070065[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.077128[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

-0.076661[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

-0.076661[/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]

-0.178404[/C][C]Kurtosis (small sample)[/C]

0.424728[/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]

-0.804412[/C][C]TEST 1 (small sample)[/C]

0.965078[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.418000[/C][C]TEST 1 Prob. (small sample)[/C]

0.332000[/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=103855&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103855&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.	-0.000009	FISHER 4th Cent. Mom.	0.000007
FISHER beta 1	0.031028	FISHER beta 2	3.357091
FISHER gamma 1	-0.176148	FISHER gamma 2	0.357091
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-0.784467	FISHER Test 2	0.795146
FISHER Test 1 Probability	0.429600	FISHER Test 2 Probability	0.423800
Pearson 2	-0.060396
Yule using Quartile definition:Weighted Average at Xnp	-0.088356
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.076661
Yule using Quartile definition:Empirical Distribution Function	-0.076661
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.076661
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.070065
Yule using Quartile definition:Closest Observation	-0.077128
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.076661
Yule using Quartile definition:MS Excel (old versions)	-0.076661
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.178404	Kurtosis (small sample)	0.424728
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-0.804412	TEST 1 (small sample)	0.965078
TEST 1 Prob. (small sample)	0.418000	TEST 1 Prob. (small sample)	0.332000
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)	-0.178400	0.418000	Trim. Kurtosis (0/119)	0.424700	0.332000
Trim. Skewness (1/119)	-0.053300	0.810400	Trim. Kurtosis (1/119)	0.014200	0.968000
Trim. Skewness (2/119)	-0.040800	0.849200	Trim. Kurtosis (2/119)	-0.164300	0.711400
Trim. Skewness (3/119)	-0.063900	0.771800	Trim. Kurtosis (3/119)	-0.265600	0.555200
Trim. Skewness (4/119)	-0.063100	0.779400	Trim. Kurtosis (4/119)	-0.386900	0.389800
Trim. Skewness (5/119)	-0.079500	0.726400	Trim. Kurtosis (5/119)	-0.528100	0.246000
Trim. Skewness (6/119)	-0.092100	0.689200	Trim. Kurtosis (6/119)	-0.588500	0.200600
Trim. Skewness (7/119)	-0.108600	0.638400	Trim. Kurtosis (7/119)	-0.686900	0.141600
Trim. Skewness (8/119)	-0.146100	0.535200	Trim. Kurtosis (8/119)	-0.782500	0.097000
Trim. Skewness (9/119)	-0.155200	0.515600	Trim. Kurtosis (9/119)	-0.836400	0.078400
Trim. Skewness (10/119)	-0.162000	0.502800	Trim. Kurtosis (10/119)	-0.891100	0.062800
Trim. Skewness (11/119)	-0.170700	0.484000	Trim. Kurtosis (11/119)	-0.963000	0.046600
Trim. Skewness (12/119)	-0.162400	0.509200	Trim. Kurtosis (12/119)	-1.026100	0.035800
Trim. Skewness (13/119)	-0.165000	0.509200	Trim. Kurtosis (13/119)	-1.063100	0.031600
Trim. Skewness (14/119)	-0.162300	0.515600	Trim. Kurtosis (14/119)	-1.118600	0.025000
Trim. Skewness (15/119)	-0.164700	0.515600	Trim. Kurtosis (15/119)	-1.132800	0.024400
Trim. Skewness (16/119)	-0.174800	0.496400	Trim. Kurtosis (16/119)	-1.121000	0.027800
Trim. Skewness (17/119)	-0.186100	0.471600	Trim. Kurtosis (17/119)	-1.112300	0.030800
Trim. Skewness (18/119)	-0.196000	0.453200	Trim. Kurtosis (18/119)	-1.105200	0.034000
Trim. Skewness (19/119)	-0.208300	0.435400	Trim. Kurtosis (19/119)	-1.102500	0.036600
Trim. Skewness (20/119)	-0.224100	0.406600	Trim. Kurtosis (20/119)	-1.097800	0.039400
Trim. Skewness (21/119)	-0.234100	0.389800	Trim. Kurtosis (21/119)	-1.087400	0.044400
Trim. Skewness (22/119)	-0.245200	0.373400	Trim. Kurtosis (22/119)	-1.088100	0.046600
Trim. Skewness (23/119)	-0.254700	0.362800	Trim. Kurtosis (23/119)	-1.092400	0.048800
Trim. Skewness (24/119)	-0.262800	0.352400	Trim. Kurtosis (24/119)	-1.113400	0.047800
Trim. Skewness (25/119)	-0.259500	0.368200	Trim. Kurtosis (25/119)	-1.118800	0.048800
Trim. Skewness (26/119)	-0.247000	0.395400	Trim. Kurtosis (26/119)	-1.138800	0.047800
Trim. Skewness (27/119)	-0.231300	0.435400	Trim. Kurtosis (27/119)	-1.147500	0.050000
Trim. Skewness (28/119)	-0.214100	0.471600	Trim. Kurtosis (28/119)	-1.162100	0.050000
Trim. Skewness (29/119)	-0.200900	0.509200	Trim. Kurtosis (29/119)	-1.164800	0.053600
Trim. Skewness (30/119)	-0.195000	0.528600	Trim. Kurtosis (30/119)	-1.144800	0.061400
Trim. Skewness (31/119)	-0.190100	0.541800	Trim. Kurtosis (31/119)	-1.125400	0.070200
Trim. Skewness (32/119)	-0.183700	0.562000	Trim. Kurtosis (32/119)	-1.110700	0.078400
Trim. Skewness (33/119)	-0.170100	0.603000	Trim. Kurtosis (33/119)	-1.106800	0.085400
Trim. Skewness (34/119)	-0.161600	0.624200	Trim. Kurtosis (34/119)	-1.096300	0.093000
Trim. Skewness (35/119)	-0.149700	0.652800	Trim. Kurtosis (35/119)	-1.099200	0.099000
Trim. Skewness (36/119)	-0.145900	0.667200	Trim. Kurtosis (36/119)	-1.103800	0.103200
Trim. Skewness (37/119)	-0.120100	0.733800	Trim. Kurtosis (37/119)	-1.104800	0.109600
Trim. Skewness (38/119)	-0.111100	0.756600	Trim. Kurtosis (38/119)	-1.083100	0.126000
Trim. Skewness (39/119)	-0.091800	0.802600	Trim. Kurtosis (39/119)	-1.086900	0.131000
Trim. Skewness (40/119)	-0.090700	0.810400	Trim. Kurtosis (40/119)	-1.066900	0.149800

\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)

-0.178400

0.418000 & Trim. Kurtosis (0/119)

0.424700

0.332000 \tabularnewline Trim. Skewness (1/119)

-0.053300

0.810400 & Trim. Kurtosis (1/119)

0.014200

0.968000 \tabularnewline Trim. Skewness (2/119)

-0.040800

0.849200 & Trim. Kurtosis (2/119)

-0.164300

0.711400 \tabularnewline Trim. Skewness (3/119)

-0.063900

0.771800 & Trim. Kurtosis (3/119)

-0.265600

0.555200 \tabularnewline Trim. Skewness (4/119)

-0.063100

0.779400 & Trim. Kurtosis (4/119)

-0.386900

0.389800 \tabularnewline Trim. Skewness (5/119)

-0.079500

0.726400 & Trim. Kurtosis (5/119)

-0.528100

0.246000 \tabularnewline Trim. Skewness (6/119)

-0.092100

0.689200 & Trim. Kurtosis (6/119)

-0.588500

0.200600 \tabularnewline Trim. Skewness (7/119)

-0.108600

0.638400 & Trim. Kurtosis (7/119)

-0.686900

0.141600 \tabularnewline Trim. Skewness (8/119)

-0.146100

0.535200 & Trim. Kurtosis (8/119)

-0.782500

0.097000 \tabularnewline Trim. Skewness (9/119)

-0.155200

0.515600 & Trim. Kurtosis (9/119)

-0.836400

0.078400 \tabularnewline Trim. Skewness (10/119)

-0.162000

0.502800 & Trim. Kurtosis (10/119)

-0.891100

0.062800 \tabularnewline Trim. Skewness (11/119)

-0.170700

0.484000 & Trim. Kurtosis (11/119)

-0.963000

0.046600 \tabularnewline Trim. Skewness (12/119)

-0.162400

0.509200 & Trim. Kurtosis (12/119)

-1.026100

0.035800 \tabularnewline Trim. Skewness (13/119)

-0.165000

0.509200 & Trim. Kurtosis (13/119)

-1.063100

0.031600 \tabularnewline Trim. Skewness (14/119)

-0.162300

0.515600 & Trim. Kurtosis (14/119)

-1.118600

0.025000 \tabularnewline Trim. Skewness (15/119)

-0.164700

0.515600 & Trim. Kurtosis (15/119)

-1.132800

0.024400 \tabularnewline Trim. Skewness (16/119)

-0.174800

0.496400 & Trim. Kurtosis (16/119)

-1.121000

0.027800 \tabularnewline Trim. Skewness (17/119)

-0.186100

0.471600 & Trim. Kurtosis (17/119)

-1.112300

0.030800 \tabularnewline Trim. Skewness (18/119)

-0.196000

0.453200 & Trim. Kurtosis (18/119)

-1.105200

0.034000 \tabularnewline Trim. Skewness (19/119)

-0.208300

0.435400 & Trim. Kurtosis (19/119)

-1.102500

0.036600 \tabularnewline Trim. Skewness (20/119)

-0.224100

0.406600 & Trim. Kurtosis (20/119)

-1.097800

0.039400 \tabularnewline Trim. Skewness (21/119)

-0.234100

0.389800 & Trim. Kurtosis (21/119)

-1.087400

0.044400 \tabularnewline Trim. Skewness (22/119)

-0.245200

0.373400 & Trim. Kurtosis (22/119)

-1.088100

0.046600 \tabularnewline Trim. Skewness (23/119)

-0.254700

0.362800 & Trim. Kurtosis (23/119)

-1.092400

0.048800 \tabularnewline Trim. Skewness (24/119)

-0.262800

0.352400 & Trim. Kurtosis (24/119)

-1.113400

0.047800 \tabularnewline Trim. Skewness (25/119)

-0.259500

0.368200 & Trim. Kurtosis (25/119)

-1.118800

0.048800 \tabularnewline Trim. Skewness (26/119)

-0.247000

0.395400 & Trim. Kurtosis (26/119)

-1.138800

0.047800 \tabularnewline Trim. Skewness (27/119)

-0.231300

0.435400 & Trim. Kurtosis (27/119)

-1.147500

0.050000 \tabularnewline Trim. Skewness (28/119)

-0.214100

0.471600 & Trim. Kurtosis (28/119)

-1.162100

0.050000 \tabularnewline Trim. Skewness (29/119)

-0.200900

0.509200 & Trim. Kurtosis (29/119)

-1.164800

0.053600 \tabularnewline Trim. Skewness (30/119)

-0.195000

0.528600 & Trim. Kurtosis (30/119)

-1.144800

0.061400 \tabularnewline Trim. Skewness (31/119)

-0.190100

0.541800 & Trim. Kurtosis (31/119)

-1.125400

0.070200 \tabularnewline Trim. Skewness (32/119)

-0.183700

0.562000 & Trim. Kurtosis (32/119)

-1.110700

0.078400 \tabularnewline Trim. Skewness (33/119)

-0.170100

0.603000 & Trim. Kurtosis (33/119)

-1.106800

0.085400 \tabularnewline Trim. Skewness (34/119)

-0.161600

0.624200 & Trim. Kurtosis (34/119)

-1.096300

0.093000 \tabularnewline Trim. Skewness (35/119)

-0.149700

0.652800 & Trim. Kurtosis (35/119)

-1.099200

0.099000 \tabularnewline Trim. Skewness (36/119)

-0.145900

0.667200 & Trim. Kurtosis (36/119)

-1.103800

0.103200 \tabularnewline Trim. Skewness (37/119)

-0.120100

0.733800 & Trim. Kurtosis (37/119)

-1.104800

0.109600 \tabularnewline Trim. Skewness (38/119)

-0.111100

0.756600 & Trim. Kurtosis (38/119)

-1.083100

0.126000 \tabularnewline Trim. Skewness (39/119)

-0.091800

0.802600 & Trim. Kurtosis (39/119)

-1.086900

0.131000 \tabularnewline Trim. Skewness (40/119)

-0.090700

0.810400 & Trim. Kurtosis (40/119)

-1.066900

0.149800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103855&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]

-0.178400[/C]

0.418000[/C][C]Trim. Kurtosis (0/119)[/C]

0.424700[/C]

0.332000[/C][/ROW] [ROW][C]Trim. Skewness (1/119)[/C]

-0.053300[/C]

0.810400[/C][C]Trim. Kurtosis (1/119)[/C]

0.014200[/C]

0.968000[/C][/ROW] [ROW][C]Trim. Skewness (2/119)[/C]

-0.040800[/C]

0.849200[/C][C]Trim. Kurtosis (2/119)[/C]

-0.164300[/C]

0.711400[/C][/ROW] [ROW][C]Trim. Skewness (3/119)[/C]

-0.063900[/C]

0.771800[/C][C]Trim. Kurtosis (3/119)[/C]

-0.265600[/C]

0.555200[/C][/ROW] [ROW][C]Trim. Skewness (4/119)[/C]

-0.063100[/C]

0.779400[/C][C]Trim. Kurtosis (4/119)[/C]

-0.386900[/C]

0.389800[/C][/ROW] [ROW][C]Trim. Skewness (5/119)[/C]

-0.079500[/C]

0.726400[/C][C]Trim. Kurtosis (5/119)[/C]

-0.528100[/C]

0.246000[/C][/ROW] [ROW][C]Trim. Skewness (6/119)[/C]

-0.092100[/C]

0.689200[/C][C]Trim. Kurtosis (6/119)[/C]

-0.588500[/C]

0.200600[/C][/ROW] [ROW][C]Trim. Skewness (7/119)[/C]

-0.108600[/C]

0.638400[/C][C]Trim. Kurtosis (7/119)[/C]

-0.686900[/C]

0.141600[/C][/ROW] [ROW][C]Trim. Skewness (8/119)[/C]

-0.146100[/C]

0.535200[/C][C]Trim. Kurtosis (8/119)[/C]

-0.782500[/C]

0.097000[/C][/ROW] [ROW][C]Trim. Skewness (9/119)[/C]

-0.155200[/C]

0.515600[/C][C]Trim. Kurtosis (9/119)[/C]

-0.836400[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (10/119)[/C]

-0.162000[/C]

0.502800[/C][C]Trim. Kurtosis (10/119)[/C]

-0.891100[/C]

0.062800[/C][/ROW] [ROW][C]Trim. Skewness (11/119)[/C]

-0.170700[/C]

0.484000[/C][C]Trim. Kurtosis (11/119)[/C]

-0.963000[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (12/119)[/C]

-0.162400[/C]

0.509200[/C][C]Trim. Kurtosis (12/119)[/C]

-1.026100[/C]

0.035800[/C][/ROW] [ROW][C]Trim. Skewness (13/119)[/C]

-0.165000[/C]

0.509200[/C][C]Trim. Kurtosis (13/119)[/C]

-1.063100[/C]

0.031600[/C][/ROW] [ROW][C]Trim. Skewness (14/119)[/C]

-0.162300[/C]

0.515600[/C][C]Trim. Kurtosis (14/119)[/C]

-1.118600[/C]

0.025000[/C][/ROW] [ROW][C]Trim. Skewness (15/119)[/C]

-0.164700[/C]

0.515600[/C][C]Trim. Kurtosis (15/119)[/C]

-1.132800[/C]

0.024400[/C][/ROW] [ROW][C]Trim. Skewness (16/119)[/C]

-0.174800[/C]

0.496400[/C][C]Trim. Kurtosis (16/119)[/C]

-1.121000[/C]

0.027800[/C][/ROW] [ROW][C]Trim. Skewness (17/119)[/C]

-0.186100[/C]

0.471600[/C][C]Trim. Kurtosis (17/119)[/C]

-1.112300[/C]

0.030800[/C][/ROW] [ROW][C]Trim. Skewness (18/119)[/C]

-0.196000[/C]

0.453200[/C][C]Trim. Kurtosis (18/119)[/C]

-1.105200[/C]

0.034000[/C][/ROW] [ROW][C]Trim. Skewness (19/119)[/C]

-0.208300[/C]

0.435400[/C][C]Trim. Kurtosis (19/119)[/C]

-1.102500[/C]

0.036600[/C][/ROW] [ROW][C]Trim. Skewness (20/119)[/C]

-0.224100[/C]

0.406600[/C][C]Trim. Kurtosis (20/119)[/C]

-1.097800[/C]

0.039400[/C][/ROW] [ROW][C]Trim. Skewness (21/119)[/C]

-0.234100[/C]

0.389800[/C][C]Trim. Kurtosis (21/119)[/C]

-1.087400[/C]

0.044400[/C][/ROW] [ROW][C]Trim. Skewness (22/119)[/C]

-0.245200[/C]

0.373400[/C][C]Trim. Kurtosis (22/119)[/C]

-1.088100[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (23/119)[/C]

-0.254700[/C]

0.362800[/C][C]Trim. Kurtosis (23/119)[/C]

-1.092400[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (24/119)[/C]

-0.262800[/C]

0.352400[/C][C]Trim. Kurtosis (24/119)[/C]

-1.113400[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (25/119)[/C]

-0.259500[/C]

0.368200[/C][C]Trim. Kurtosis (25/119)[/C]

-1.118800[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (26/119)[/C]

-0.247000[/C]

0.395400[/C][C]Trim. Kurtosis (26/119)[/C]

-1.138800[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (27/119)[/C]

-0.231300[/C]

0.435400[/C][C]Trim. Kurtosis (27/119)[/C]

-1.147500[/C]

0.050000[/C][/ROW] [ROW][C]Trim. Skewness (28/119)[/C]

-0.214100[/C]

0.471600[/C][C]Trim. Kurtosis (28/119)[/C]

-1.162100[/C]

0.050000[/C][/ROW] [ROW][C]Trim. Skewness (29/119)[/C]

-0.200900[/C]

0.509200[/C][C]Trim. Kurtosis (29/119)[/C]

-1.164800[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (30/119)[/C]

-0.195000[/C]

0.528600[/C][C]Trim. Kurtosis (30/119)[/C]

-1.144800[/C]

0.061400[/C][/ROW] [ROW][C]Trim. Skewness (31/119)[/C]

-0.190100[/C]

0.541800[/C][C]Trim. Kurtosis (31/119)[/C]

-1.125400[/C]

0.070200[/C][/ROW] [ROW][C]Trim. Skewness (32/119)[/C]

-0.183700[/C]

0.562000[/C][C]Trim. Kurtosis (32/119)[/C]

-1.110700[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (33/119)[/C]

-0.170100[/C]

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

-1.106800[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (34/119)[/C]

-0.161600[/C]

0.624200[/C][C]Trim. Kurtosis (34/119)[/C]

-1.096300[/C]

0.093000[/C][/ROW] [ROW][C]Trim. Skewness (35/119)[/C]

-0.149700[/C]

0.652800[/C][C]Trim. Kurtosis (35/119)[/C]

-1.099200[/C]

0.099000[/C][/ROW] [ROW][C]Trim. Skewness (36/119)[/C]

-0.145900[/C]

0.667200[/C][C]Trim. Kurtosis (36/119)[/C]

-1.103800[/C]

0.103200[/C][/ROW] [ROW][C]Trim. Skewness (37/119)[/C]

-0.120100[/C]

0.733800[/C][C]Trim. Kurtosis (37/119)[/C]

-1.104800[/C]

0.109600[/C][/ROW] [ROW][C]Trim. Skewness (38/119)[/C]

-0.111100[/C]

0.756600[/C][C]Trim. Kurtosis (38/119)[/C]

-1.083100[/C]

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

-0.091800[/C]

0.802600[/C][C]Trim. Kurtosis (39/119)[/C]

-1.086900[/C]

0.131000[/C][/ROW] [ROW][C]Trim. Skewness (40/119)[/C]

-0.090700[/C]

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

-1.066900[/C]

0.149800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103855&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103855&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)	-0.178400	0.418000	Trim. Kurtosis (0/119)	0.424700	0.332000
Trim. Skewness (1/119)	-0.053300	0.810400	Trim. Kurtosis (1/119)	0.014200	0.968000
Trim. Skewness (2/119)	-0.040800	0.849200	Trim. Kurtosis (2/119)	-0.164300	0.711400
Trim. Skewness (3/119)	-0.063900	0.771800	Trim. Kurtosis (3/119)	-0.265600	0.555200
Trim. Skewness (4/119)	-0.063100	0.779400	Trim. Kurtosis (4/119)	-0.386900	0.389800
Trim. Skewness (5/119)	-0.079500	0.726400	Trim. Kurtosis (5/119)	-0.528100	0.246000
Trim. Skewness (6/119)	-0.092100	0.689200	Trim. Kurtosis (6/119)	-0.588500	0.200600
Trim. Skewness (7/119)	-0.108600	0.638400	Trim. Kurtosis (7/119)	-0.686900	0.141600
Trim. Skewness (8/119)	-0.146100	0.535200	Trim. Kurtosis (8/119)	-0.782500	0.097000
Trim. Skewness (9/119)	-0.155200	0.515600	Trim. Kurtosis (9/119)	-0.836400	0.078400
Trim. Skewness (10/119)	-0.162000	0.502800	Trim. Kurtosis (10/119)	-0.891100	0.062800
Trim. Skewness (11/119)	-0.170700	0.484000	Trim. Kurtosis (11/119)	-0.963000	0.046600
Trim. Skewness (12/119)	-0.162400	0.509200	Trim. Kurtosis (12/119)	-1.026100	0.035800
Trim. Skewness (13/119)	-0.165000	0.509200	Trim. Kurtosis (13/119)	-1.063100	0.031600
Trim. Skewness (14/119)	-0.162300	0.515600	Trim. Kurtosis (14/119)	-1.118600	0.025000
Trim. Skewness (15/119)	-0.164700	0.515600	Trim. Kurtosis (15/119)	-1.132800	0.024400
Trim. Skewness (16/119)	-0.174800	0.496400	Trim. Kurtosis (16/119)	-1.121000	0.027800
Trim. Skewness (17/119)	-0.186100	0.471600	Trim. Kurtosis (17/119)	-1.112300	0.030800
Trim. Skewness (18/119)	-0.196000	0.453200	Trim. Kurtosis (18/119)	-1.105200	0.034000
Trim. Skewness (19/119)	-0.208300	0.435400	Trim. Kurtosis (19/119)	-1.102500	0.036600
Trim. Skewness (20/119)	-0.224100	0.406600	Trim. Kurtosis (20/119)	-1.097800	0.039400
Trim. Skewness (21/119)	-0.234100	0.389800	Trim. Kurtosis (21/119)	-1.087400	0.044400
Trim. Skewness (22/119)	-0.245200	0.373400	Trim. Kurtosis (22/119)	-1.088100	0.046600
Trim. Skewness (23/119)	-0.254700	0.362800	Trim. Kurtosis (23/119)	-1.092400	0.048800
Trim. Skewness (24/119)	-0.262800	0.352400	Trim. Kurtosis (24/119)	-1.113400	0.047800
Trim. Skewness (25/119)	-0.259500	0.368200	Trim. Kurtosis (25/119)	-1.118800	0.048800
Trim. Skewness (26/119)	-0.247000	0.395400	Trim. Kurtosis (26/119)	-1.138800	0.047800
Trim. Skewness (27/119)	-0.231300	0.435400	Trim. Kurtosis (27/119)	-1.147500	0.050000
Trim. Skewness (28/119)	-0.214100	0.471600	Trim. Kurtosis (28/119)	-1.162100	0.050000
Trim. Skewness (29/119)	-0.200900	0.509200	Trim. Kurtosis (29/119)	-1.164800	0.053600
Trim. Skewness (30/119)	-0.195000	0.528600	Trim. Kurtosis (30/119)	-1.144800	0.061400
Trim. Skewness (31/119)	-0.190100	0.541800	Trim. Kurtosis (31/119)	-1.125400	0.070200
Trim. Skewness (32/119)	-0.183700	0.562000	Trim. Kurtosis (32/119)	-1.110700	0.078400
Trim. Skewness (33/119)	-0.170100	0.603000	Trim. Kurtosis (33/119)	-1.106800	0.085400
Trim. Skewness (34/119)	-0.161600	0.624200	Trim. Kurtosis (34/119)	-1.096300	0.093000
Trim. Skewness (35/119)	-0.149700	0.652800	Trim. Kurtosis (35/119)	-1.099200	0.099000
Trim. Skewness (36/119)	-0.145900	0.667200	Trim. Kurtosis (36/119)	-1.103800	0.103200
Trim. Skewness (37/119)	-0.120100	0.733800	Trim. Kurtosis (37/119)	-1.104800	0.109600
Trim. Skewness (38/119)	-0.111100	0.756600	Trim. Kurtosis (38/119)	-1.083100	0.126000
Trim. Skewness (39/119)	-0.091800	0.802600	Trim. Kurtosis (39/119)	-1.086900	0.131000
Trim. Skewness (40/119)	-0.090700	0.810400	Trim. Kurtosis (40/119)	-1.066900	0.149800

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