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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 22:33:44 +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/t1291156326i1ax04547ymlwa0.htm/, Retrieved Mon, 29 Apr 2024 09:31:20 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103849, Retrieved Mon, 29 Apr 2024 09:31:20 +0000

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No (this computation is public)

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Estimated Impact

120

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 22:33:44] [13dfa60174f50d862e8699db2153bfc5] [Current]

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0,001418064
-0,043156672
0,032844944
-0,021339528
0,065503692
-0,056123288
-0,012078434
0,001700505
-0,006438393
0,033040954
-0,033308497
0,063895884
-0,019747176
-0,008786097
-0,016995014
0,033963602
0,009635832
-0,012632808
-0,012385767
-0,00488204
-0,049958439
0,025729009
0,055148947
-0,021789747
-0,06621588
0,045095954
0,021347417
0,005845506
-0,005840125
-0,018809424
0,086956217
-0,075827869
0,023441212
-0,039582815
-0,018974812
0,05166911
-0,017191709
-0,027022546
0,039334562
-0,069390449
0,051553563
-0,036490659
0,085463362
-0,02014117
-0,071179892
0,076506174
-0,03895501
0,015760293
0,017653748
-0,02258044
-0,007063158
-0,048796883
0,033805137
-0,014215767
0,026331161
0,004580092
-0,00102916
0,019713279
-0,018114783
-0,017202229
0,007757454
0,032019454
-0,044808447
0,026141155
-0,029634562
0,052818794
-0,018541151
-0,000813494
-0,02806492
0,014959581
0,002264437
-0,033124088
0,041644507
-0,016750921
0,062724209
-0,060598161
0,01748404
-0,021245347
-0,000691161
0,007090852
-0,009161975
0,067371824
-0,040460368
0,004036425
-0,034423899
0,00494724
0,032031645
0,006134411
-0,012226561
0,023638215
-0,071784359
0,057129759
-0,057977032
0,020312538
0,015352036
-0,000969502
0,007764109
-0,00299215
0,01831254
-0,002560805
-0,045684138
0,009815683
0,00031614
0,018775593
0,022304569
-0,039372935
0,028186975
-0,022430336
0,009204875
0,008003721
-0,03468619
0,044437517
-0,007879935
0,002652127
0,010248226
-0,010038732
-0,037742835
0,015538907
0,027567094

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	0.000006	FISHER 4th Cent. Mom.	0.000004
FISHER beta 1	0.019789	FISHER beta 2	2.805185
FISHER gamma 1	0.140672	FISHER gamma 2	-0.194815
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	0.626478	FISHER Test 2	-0.433800
FISHER Test 1 Probability	0.528600	FISHER Test 2 Probability	0.660000
Pearson 2	0.065023
Yule using Quartile definition:Weighted Average at Xnp	0.035246
Yule using Quartile definition:Weighted Average at X(n+1)p	0.053784
Yule using Quartile definition:Empirical Distribution Function	0.053784
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.053784
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.044433
Yule using Quartile definition:Closest Observation	0.032568
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.053784
Yule using Quartile definition:MS Excel (old versions)	0.053784
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	0.142474	Kurtosis (small sample)	-0.151089
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	0.642407	TEST 1 (small sample)	-0.343308
TEST 1 Prob. (small sample)	0.515600	TEST 1 Prob. (small sample)	0.726400
Observations	119

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

0.000006 & FISHER 4th Cent. Mom.

0.000004 \tabularnewline FISHER beta 1

0.019789 & FISHER beta 2

2.805185 \tabularnewline FISHER gamma 1

0.140672 & FISHER gamma 2

-0.194815 \tabularnewline FISHER gamma 1 (S.E.)

0.224544 & FISHER gamma 2 (S.E.)

0.449089 \tabularnewline FISHER Test 1

0.626478 & FISHER Test 2

-0.433800 \tabularnewline FISHER Test 1 Probability

0.528600 & FISHER Test 2 Probability

0.660000 \tabularnewline Pearson 2

0.065023 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

0.035246 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.053784 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.053784 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.053784 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.044433 & & \tabularnewline Yule using Quartile definition:Closest Observation

0.032568 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.053784 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.053784 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

0.142474 & Kurtosis (small sample)

-0.151089 \tabularnewline Skewness S.E. (small sample)

0.221782 & Kurtosis S.E. (small sample)

0.440097 \tabularnewline TEST 1 (small sample)

0.642407 & TEST 1 (small sample)

-0.343308 \tabularnewline TEST 1 Prob. (small sample)

0.515600 & TEST 1 Prob. (small sample)

0.726400 \tabularnewline Observations

119 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103849&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]

0.000006[/C][C]FISHER 4th Cent. Mom.[/C]

0.000004[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.019789[/C][C]FISHER beta 2[/C]

2.805185[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

0.140672[/C][C]FISHER gamma 2[/C]

-0.194815[/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]

0.626478[/C][C]FISHER Test 2[/C]

-0.433800[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.528600[/C][C]FISHER Test 2 Probability[/C]

0.660000[/C][/ROW] [ROW][C]Pearson 2[/C]

0.065023[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

0.035246[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.053784[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.053784[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.053784[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.044433[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

0.032568[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.053784[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.053784[/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]

0.142474[/C][C]Kurtosis (small sample)[/C]

-0.151089[/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]

0.642407[/C][C]TEST 1 (small sample)[/C]

-0.343308[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.515600[/C][C]TEST 1 Prob. (small sample)[/C]

0.726400[/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=103849&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103849&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.	0.000006	FISHER 4th Cent. Mom.	0.000004
FISHER beta 1	0.019789	FISHER beta 2	2.805185
FISHER gamma 1	0.140672	FISHER gamma 2	-0.194815
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	0.626478	FISHER Test 2	-0.433800
FISHER Test 1 Probability	0.528600	FISHER Test 2 Probability	0.660000
Pearson 2	0.065023
Yule using Quartile definition:Weighted Average at Xnp	0.035246
Yule using Quartile definition:Weighted Average at X(n+1)p	0.053784
Yule using Quartile definition:Empirical Distribution Function	0.053784
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.053784
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.044433
Yule using Quartile definition:Closest Observation	0.032568
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.053784
Yule using Quartile definition:MS Excel (old versions)	0.053784
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	0.142474	Kurtosis (small sample)	-0.151089
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	0.642407	TEST 1 (small sample)	-0.343308
TEST 1 Prob. (small sample)	0.515600	TEST 1 Prob. (small sample)	0.726400
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)	0.142500	0.515600	Trim. Kurtosis (0/119)	-0.151100	0.726400
Trim. Skewness (1/119)	0.121400	0.582400	Trim. Kurtosis (1/119)	-0.224200	0.610000
Trim. Skewness (2/119)	0.083300	0.711400	Trim. Kurtosis (2/119)	-0.332000	0.453200
Trim. Skewness (3/119)	0.072400	0.749000	Trim. Kurtosis (3/119)	-0.413000	0.357600
Trim. Skewness (4/119)	0.088600	0.696600	Trim. Kurtosis (4/119)	-0.462000	0.307800
Trim. Skewness (5/119)	0.102400	0.652800	Trim. Kurtosis (5/119)	-0.519700	0.254200
Trim. Skewness (6/119)	0.100900	0.660000	Trim. Kurtosis (6/119)	-0.569600	0.218600
Trim. Skewness (7/119)	0.091900	0.696600	Trim. Kurtosis (7/119)	-0.638000	0.170600
Trim. Skewness (8/119)	0.097400	0.681800	Trim. Kurtosis (8/119)	-0.688100	0.144200
Trim. Skewness (9/119)	0.085600	0.718800	Trim. Kurtosis (9/119)	-0.717300	0.131000
Trim. Skewness (10/119)	0.075900	0.749000	Trim. Kurtosis (10/119)	-0.749600	0.118800
Trim. Skewness (11/119)	0.055000	0.818000	Trim. Kurtosis (11/119)	-0.785500	0.105200
Trim. Skewness (12/119)	0.023500	0.920400	Trim. Kurtosis (12/119)	-0.854600	0.080200
Trim. Skewness (13/119)	0.012500	0.960200	Trim. Kurtosis (13/119)	-0.879500	0.075000
Trim. Skewness (14/119)	-0.010500	0.960200	Trim. Kurtosis (14/119)	-0.908900	0.068800
Trim. Skewness (15/119)	-0.028000	0.912400	Trim. Kurtosis (15/119)	-0.931100	0.064400
Trim. Skewness (16/119)	-0.038200	0.880800	Trim. Kurtosis (16/119)	-0.955000	0.061400
Trim. Skewness (17/119)	-0.025100	0.920400	Trim. Kurtosis (17/119)	-0.957900	0.062800
Trim. Skewness (18/119)	-0.014100	0.952200	Trim. Kurtosis (18/119)	-0.965900	0.064400
Trim. Skewness (19/119)	-0.003300	0.984000	Trim. Kurtosis (19/119)	-0.976400	0.064400
Trim. Skewness (20/119)	0.000500	0.992000	Trim. Kurtosis (20/119)	-0.989000	0.064400
Trim. Skewness (21/119)	0.009100	0.968000	Trim. Kurtosis (21/119)	-1.017300	0.060200
Trim. Skewness (22/119)	0.012000	0.960200	Trim. Kurtosis (22/119)	-1.067200	0.051200
Trim. Skewness (23/119)	0.042500	0.872800	Trim. Kurtosis (23/119)	-1.114200	0.044400
Trim. Skewness (24/119)	0.056200	0.841400	Trim. Kurtosis (24/119)	-1.137100	0.042400
Trim. Skewness (25/119)	0.069600	0.802600	Trim. Kurtosis (25/119)	-1.153200	0.042400
Trim. Skewness (26/119)	0.079400	0.779400	Trim. Kurtosis (26/119)	-1.179600	0.040400
Trim. Skewness (27/119)	0.060900	0.833600	Trim. Kurtosis (27/119)	-1.183100	0.043400
Trim. Skewness (28/119)	0.052600	0.857200	Trim. Kurtosis (28/119)	-1.171900	0.047800
Trim. Skewness (29/119)	0.037900	0.896600	Trim. Kurtosis (29/119)	-1.166400	0.052400
Trim. Skewness (30/119)	0.025100	0.928200	Trim. Kurtosis (30/119)	-1.155800	0.058800
Trim. Skewness (31/119)	0.016100	0.952200	Trim. Kurtosis (31/119)	-1.145200	0.065800
Trim. Skewness (32/119)	0.004500	0.984000	Trim. Kurtosis (32/119)	-1.123200	0.075000
Trim. Skewness (33/119)	-0.008800	0.976000	Trim. Kurtosis (33/119)	-1.100700	0.087200
Trim. Skewness (34/119)	-0.023600	0.936200	Trim. Kurtosis (34/119)	-1.067800	0.103200
Trim. Skewness (35/119)	-0.040200	0.904400	Trim. Kurtosis (35/119)	-1.037700	0.118800
Trim. Skewness (36/119)	-0.057000	0.865000	Trim. Kurtosis (36/119)	-1.009000	0.136200
Trim. Skewness (37/119)	-0.085200	0.802600	Trim. Kurtosis (37/119)	-0.997700	0.149800
Trim. Skewness (38/119)	-0.105600	0.764200	Trim. Kurtosis (38/119)	-0.955200	0.177000
Trim. Skewness (39/119)	-0.130300	0.718800	Trim. Kurtosis (39/119)	-0.940600	0.193600
Trim. Skewness (40/119)	-0.167100	0.652800	Trim. Kurtosis (40/119)	-0.993600	0.177000

\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)

0.142500

0.515600 & Trim. Kurtosis (0/119)

-0.151100

0.726400 \tabularnewline Trim. Skewness (1/119)

0.121400

0.582400 & Trim. Kurtosis (1/119)

-0.224200

0.610000 \tabularnewline Trim. Skewness (2/119)

0.083300

0.711400 & Trim. Kurtosis (2/119)

-0.332000

0.453200 \tabularnewline Trim. Skewness (3/119)

0.072400

0.749000 & Trim. Kurtosis (3/119)

-0.413000

0.357600 \tabularnewline Trim. Skewness (4/119)

0.088600

0.696600 & Trim. Kurtosis (4/119)

-0.462000

0.307800 \tabularnewline Trim. Skewness (5/119)

0.102400

0.652800 & Trim. Kurtosis (5/119)

-0.519700

0.254200 \tabularnewline Trim. Skewness (6/119)

0.100900

0.660000 & Trim. Kurtosis (6/119)

-0.569600

0.218600 \tabularnewline Trim. Skewness (7/119)

0.091900

0.696600 & Trim. Kurtosis (7/119)

-0.638000

0.170600 \tabularnewline Trim. Skewness (8/119)

0.097400

0.681800 & Trim. Kurtosis (8/119)

-0.688100

0.144200 \tabularnewline Trim. Skewness (9/119)

0.085600

0.718800 & Trim. Kurtosis (9/119)

-0.717300

0.131000 \tabularnewline Trim. Skewness (10/119)

0.075900

0.749000 & Trim. Kurtosis (10/119)

-0.749600

0.118800 \tabularnewline Trim. Skewness (11/119)

0.055000

0.818000 & Trim. Kurtosis (11/119)

-0.785500

0.105200 \tabularnewline Trim. Skewness (12/119)

0.023500

0.920400 & Trim. Kurtosis (12/119)

-0.854600

0.080200 \tabularnewline Trim. Skewness (13/119)

0.012500

0.960200 & Trim. Kurtosis (13/119)

-0.879500

0.075000 \tabularnewline Trim. Skewness (14/119)

-0.010500

0.960200 & Trim. Kurtosis (14/119)

-0.908900

0.068800 \tabularnewline Trim. Skewness (15/119)

-0.028000

0.912400 & Trim. Kurtosis (15/119)

-0.931100

0.064400 \tabularnewline Trim. Skewness (16/119)

-0.038200

0.880800 & Trim. Kurtosis (16/119)

-0.955000

0.061400 \tabularnewline Trim. Skewness (17/119)

-0.025100

0.920400 & Trim. Kurtosis (17/119)

-0.957900

0.062800 \tabularnewline Trim. Skewness (18/119)

-0.014100

0.952200 & Trim. Kurtosis (18/119)

-0.965900

0.064400 \tabularnewline Trim. Skewness (19/119)

-0.003300

0.984000 & Trim. Kurtosis (19/119)

-0.976400

0.064400 \tabularnewline Trim. Skewness (20/119)

0.000500

0.992000 & Trim. Kurtosis (20/119)

-0.989000

0.064400 \tabularnewline Trim. Skewness (21/119)

0.009100

0.968000 & Trim. Kurtosis (21/119)

-1.017300

0.060200 \tabularnewline Trim. Skewness (22/119)

0.012000

0.960200 & Trim. Kurtosis (22/119)

-1.067200

0.051200 \tabularnewline Trim. Skewness (23/119)

0.042500

0.872800 & Trim. Kurtosis (23/119)

-1.114200

0.044400 \tabularnewline Trim. Skewness (24/119)

0.056200

0.841400 & Trim. Kurtosis (24/119)

-1.137100

0.042400 \tabularnewline Trim. Skewness (25/119)

0.069600

0.802600 & Trim. Kurtosis (25/119)

-1.153200

0.042400 \tabularnewline Trim. Skewness (26/119)

0.079400

0.779400 & Trim. Kurtosis (26/119)

-1.179600

0.040400 \tabularnewline Trim. Skewness (27/119)

0.060900

0.833600 & Trim. Kurtosis (27/119)

-1.183100

0.043400 \tabularnewline Trim. Skewness (28/119)

0.052600

0.857200 & Trim. Kurtosis (28/119)

-1.171900

0.047800 \tabularnewline Trim. Skewness (29/119)

0.037900

0.896600 & Trim. Kurtosis (29/119)

-1.166400

0.052400 \tabularnewline Trim. Skewness (30/119)

0.025100

0.928200 & Trim. Kurtosis (30/119)

-1.155800

0.058800 \tabularnewline Trim. Skewness (31/119)

0.016100

0.952200 & Trim. Kurtosis (31/119)

-1.145200

0.065800 \tabularnewline Trim. Skewness (32/119)

0.004500

0.984000 & Trim. Kurtosis (32/119)

-1.123200

0.075000 \tabularnewline Trim. Skewness (33/119)

-0.008800

0.976000 & Trim. Kurtosis (33/119)

-1.100700

0.087200 \tabularnewline Trim. Skewness (34/119)

-0.023600

0.936200 & Trim. Kurtosis (34/119)

-1.067800

0.103200 \tabularnewline Trim. Skewness (35/119)

-0.040200

0.904400 & Trim. Kurtosis (35/119)

-1.037700

0.118800 \tabularnewline Trim. Skewness (36/119)

-0.057000

0.865000 & Trim. Kurtosis (36/119)

-1.009000

0.136200 \tabularnewline Trim. Skewness (37/119)

-0.085200

0.802600 & Trim. Kurtosis (37/119)

-0.997700

0.149800 \tabularnewline Trim. Skewness (38/119)

-0.105600

0.764200 & Trim. Kurtosis (38/119)

-0.955200

0.177000 \tabularnewline Trim. Skewness (39/119)

-0.130300

0.718800 & Trim. Kurtosis (39/119)

-0.940600

0.193600 \tabularnewline Trim. Skewness (40/119)

-0.167100

0.652800 & Trim. Kurtosis (40/119)

-0.993600

0.177000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103849&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]

0.142500[/C]

0.515600[/C][C]Trim. Kurtosis (0/119)[/C]

-0.151100[/C]

0.726400[/C][/ROW] [ROW][C]Trim. Skewness (1/119)[/C]

0.121400[/C]

0.582400[/C][C]Trim. Kurtosis (1/119)[/C]

-0.224200[/C]

0.610000[/C][/ROW] [ROW][C]Trim. Skewness (2/119)[/C]

0.083300[/C]

0.711400[/C][C]Trim. Kurtosis (2/119)[/C]

-0.332000[/C]

0.453200[/C][/ROW] [ROW][C]Trim. Skewness (3/119)[/C]

0.072400[/C]

0.749000[/C][C]Trim. Kurtosis (3/119)[/C]

-0.413000[/C]

0.357600[/C][/ROW] [ROW][C]Trim. Skewness (4/119)[/C]

0.088600[/C]

0.696600[/C][C]Trim. Kurtosis (4/119)[/C]

-0.462000[/C]

0.307800[/C][/ROW] [ROW][C]Trim. Skewness (5/119)[/C]

0.102400[/C]

0.652800[/C][C]Trim. Kurtosis (5/119)[/C]

-0.519700[/C]

0.254200[/C][/ROW] [ROW][C]Trim. Skewness (6/119)[/C]

0.100900[/C]

0.660000[/C][C]Trim. Kurtosis (6/119)[/C]

-0.569600[/C]

0.218600[/C][/ROW] [ROW][C]Trim. Skewness (7/119)[/C]

0.091900[/C]

0.696600[/C][C]Trim. Kurtosis (7/119)[/C]

-0.638000[/C]

0.170600[/C][/ROW] [ROW][C]Trim. Skewness (8/119)[/C]

0.097400[/C]

0.681800[/C][C]Trim. Kurtosis (8/119)[/C]

-0.688100[/C]

0.144200[/C][/ROW] [ROW][C]Trim. Skewness (9/119)[/C]

0.085600[/C]

0.718800[/C][C]Trim. Kurtosis (9/119)[/C]

-0.717300[/C]

0.131000[/C][/ROW] [ROW][C]Trim. Skewness (10/119)[/C]

0.075900[/C]

0.749000[/C][C]Trim. Kurtosis (10/119)[/C]

-0.749600[/C]

0.118800[/C][/ROW] [ROW][C]Trim. Skewness (11/119)[/C]

0.055000[/C]

0.818000[/C][C]Trim. Kurtosis (11/119)[/C]

-0.785500[/C]

0.105200[/C][/ROW] [ROW][C]Trim. Skewness (12/119)[/C]

0.023500[/C]

0.920400[/C][C]Trim. Kurtosis (12/119)[/C]

-0.854600[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (13/119)[/C]

0.012500[/C]

0.960200[/C][C]Trim. Kurtosis (13/119)[/C]

-0.879500[/C]

0.075000[/C][/ROW] [ROW][C]Trim. Skewness (14/119)[/C]

-0.010500[/C]

0.960200[/C][C]Trim. Kurtosis (14/119)[/C]

-0.908900[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (15/119)[/C]

-0.028000[/C]

0.912400[/C][C]Trim. Kurtosis (15/119)[/C]

-0.931100[/C]

0.064400[/C][/ROW] [ROW][C]Trim. Skewness (16/119)[/C]

-0.038200[/C]

0.880800[/C][C]Trim. Kurtosis (16/119)[/C]

-0.955000[/C]

0.061400[/C][/ROW] [ROW][C]Trim. Skewness (17/119)[/C]

-0.025100[/C]

0.920400[/C][C]Trim. Kurtosis (17/119)[/C]

-0.957900[/C]

0.062800[/C][/ROW] [ROW][C]Trim. Skewness (18/119)[/C]

-0.014100[/C]

0.952200[/C][C]Trim. Kurtosis (18/119)[/C]

-0.965900[/C]

0.064400[/C][/ROW] [ROW][C]Trim. Skewness (19/119)[/C]

-0.003300[/C]

0.984000[/C][C]Trim. Kurtosis (19/119)[/C]

-0.976400[/C]

0.064400[/C][/ROW] [ROW][C]Trim. Skewness (20/119)[/C]

0.000500[/C]

0.992000[/C][C]Trim. Kurtosis (20/119)[/C]

-0.989000[/C]

0.064400[/C][/ROW] [ROW][C]Trim. Skewness (21/119)[/C]

0.009100[/C]

0.968000[/C][C]Trim. Kurtosis (21/119)[/C]

-1.017300[/C]

0.060200[/C][/ROW] [ROW][C]Trim. Skewness (22/119)[/C]

0.012000[/C]

0.960200[/C][C]Trim. Kurtosis (22/119)[/C]

-1.067200[/C]

0.051200[/C][/ROW] [ROW][C]Trim. Skewness (23/119)[/C]

0.042500[/C]

0.872800[/C][C]Trim. Kurtosis (23/119)[/C]

-1.114200[/C]

0.044400[/C][/ROW] [ROW][C]Trim. Skewness (24/119)[/C]

0.056200[/C]

0.841400[/C][C]Trim. Kurtosis (24/119)[/C]

-1.137100[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (25/119)[/C]

0.069600[/C]

0.802600[/C][C]Trim. Kurtosis (25/119)[/C]

-1.153200[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (26/119)[/C]

0.079400[/C]

0.779400[/C][C]Trim. Kurtosis (26/119)[/C]

-1.179600[/C]

0.040400[/C][/ROW] [ROW][C]Trim. Skewness (27/119)[/C]

0.060900[/C]

0.833600[/C][C]Trim. Kurtosis (27/119)[/C]

-1.183100[/C]

0.043400[/C][/ROW] [ROW][C]Trim. Skewness (28/119)[/C]

0.052600[/C]

0.857200[/C][C]Trim. Kurtosis (28/119)[/C]

-1.171900[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (29/119)[/C]

0.037900[/C]

0.896600[/C][C]Trim. Kurtosis (29/119)[/C]

-1.166400[/C]

0.052400[/C][/ROW] [ROW][C]Trim. Skewness (30/119)[/C]

0.025100[/C]

0.928200[/C][C]Trim. Kurtosis (30/119)[/C]

-1.155800[/C]

0.058800[/C][/ROW] [ROW][C]Trim. Skewness (31/119)[/C]

0.016100[/C]

0.952200[/C][C]Trim. Kurtosis (31/119)[/C]

-1.145200[/C]

0.065800[/C][/ROW] [ROW][C]Trim. Skewness (32/119)[/C]

0.004500[/C]

0.984000[/C][C]Trim. Kurtosis (32/119)[/C]

-1.123200[/C]

0.075000[/C][/ROW] [ROW][C]Trim. Skewness (33/119)[/C]

-0.008800[/C]

0.976000[/C][C]Trim. Kurtosis (33/119)[/C]

-1.100700[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (34/119)[/C]

-0.023600[/C]

0.936200[/C][C]Trim. Kurtosis (34/119)[/C]

-1.067800[/C]

0.103200[/C][/ROW] [ROW][C]Trim. Skewness (35/119)[/C]

-0.040200[/C]

0.904400[/C][C]Trim. Kurtosis (35/119)[/C]

-1.037700[/C]

0.118800[/C][/ROW] [ROW][C]Trim. Skewness (36/119)[/C]

-0.057000[/C]

0.865000[/C][C]Trim. Kurtosis (36/119)[/C]

-1.009000[/C]

0.136200[/C][/ROW] [ROW][C]Trim. Skewness (37/119)[/C]

-0.085200[/C]

0.802600[/C][C]Trim. Kurtosis (37/119)[/C]

-0.997700[/C]

0.149800[/C][/ROW] [ROW][C]Trim. Skewness (38/119)[/C]

-0.105600[/C]

0.764200[/C][C]Trim. Kurtosis (38/119)[/C]

-0.955200[/C]

0.177000[/C][/ROW] [ROW][C]Trim. Skewness (39/119)[/C]

-0.130300[/C]

0.718800[/C][C]Trim. Kurtosis (39/119)[/C]

-0.940600[/C]

0.193600[/C][/ROW] [ROW][C]Trim. Skewness (40/119)[/C]

-0.167100[/C]

0.652800[/C][C]Trim. Kurtosis (40/119)[/C]

-0.993600[/C]

0.177000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103849&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103849&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)	0.142500	0.515600	Trim. Kurtosis (0/119)	-0.151100	0.726400
Trim. Skewness (1/119)	0.121400	0.582400	Trim. Kurtosis (1/119)	-0.224200	0.610000
Trim. Skewness (2/119)	0.083300	0.711400	Trim. Kurtosis (2/119)	-0.332000	0.453200
Trim. Skewness (3/119)	0.072400	0.749000	Trim. Kurtosis (3/119)	-0.413000	0.357600
Trim. Skewness (4/119)	0.088600	0.696600	Trim. Kurtosis (4/119)	-0.462000	0.307800
Trim. Skewness (5/119)	0.102400	0.652800	Trim. Kurtosis (5/119)	-0.519700	0.254200
Trim. Skewness (6/119)	0.100900	0.660000	Trim. Kurtosis (6/119)	-0.569600	0.218600
Trim. Skewness (7/119)	0.091900	0.696600	Trim. Kurtosis (7/119)	-0.638000	0.170600
Trim. Skewness (8/119)	0.097400	0.681800	Trim. Kurtosis (8/119)	-0.688100	0.144200
Trim. Skewness (9/119)	0.085600	0.718800	Trim. Kurtosis (9/119)	-0.717300	0.131000
Trim. Skewness (10/119)	0.075900	0.749000	Trim. Kurtosis (10/119)	-0.749600	0.118800
Trim. Skewness (11/119)	0.055000	0.818000	Trim. Kurtosis (11/119)	-0.785500	0.105200
Trim. Skewness (12/119)	0.023500	0.920400	Trim. Kurtosis (12/119)	-0.854600	0.080200
Trim. Skewness (13/119)	0.012500	0.960200	Trim. Kurtosis (13/119)	-0.879500	0.075000
Trim. Skewness (14/119)	-0.010500	0.960200	Trim. Kurtosis (14/119)	-0.908900	0.068800
Trim. Skewness (15/119)	-0.028000	0.912400	Trim. Kurtosis (15/119)	-0.931100	0.064400
Trim. Skewness (16/119)	-0.038200	0.880800	Trim. Kurtosis (16/119)	-0.955000	0.061400
Trim. Skewness (17/119)	-0.025100	0.920400	Trim. Kurtosis (17/119)	-0.957900	0.062800
Trim. Skewness (18/119)	-0.014100	0.952200	Trim. Kurtosis (18/119)	-0.965900	0.064400
Trim. Skewness (19/119)	-0.003300	0.984000	Trim. Kurtosis (19/119)	-0.976400	0.064400
Trim. Skewness (20/119)	0.000500	0.992000	Trim. Kurtosis (20/119)	-0.989000	0.064400
Trim. Skewness (21/119)	0.009100	0.968000	Trim. Kurtosis (21/119)	-1.017300	0.060200
Trim. Skewness (22/119)	0.012000	0.960200	Trim. Kurtosis (22/119)	-1.067200	0.051200
Trim. Skewness (23/119)	0.042500	0.872800	Trim. Kurtosis (23/119)	-1.114200	0.044400
Trim. Skewness (24/119)	0.056200	0.841400	Trim. Kurtosis (24/119)	-1.137100	0.042400
Trim. Skewness (25/119)	0.069600	0.802600	Trim. Kurtosis (25/119)	-1.153200	0.042400
Trim. Skewness (26/119)	0.079400	0.779400	Trim. Kurtosis (26/119)	-1.179600	0.040400
Trim. Skewness (27/119)	0.060900	0.833600	Trim. Kurtosis (27/119)	-1.183100	0.043400
Trim. Skewness (28/119)	0.052600	0.857200	Trim. Kurtosis (28/119)	-1.171900	0.047800
Trim. Skewness (29/119)	0.037900	0.896600	Trim. Kurtosis (29/119)	-1.166400	0.052400
Trim. Skewness (30/119)	0.025100	0.928200	Trim. Kurtosis (30/119)	-1.155800	0.058800
Trim. Skewness (31/119)	0.016100	0.952200	Trim. Kurtosis (31/119)	-1.145200	0.065800
Trim. Skewness (32/119)	0.004500	0.984000	Trim. Kurtosis (32/119)	-1.123200	0.075000
Trim. Skewness (33/119)	-0.008800	0.976000	Trim. Kurtosis (33/119)	-1.100700	0.087200
Trim. Skewness (34/119)	-0.023600	0.936200	Trim. Kurtosis (34/119)	-1.067800	0.103200
Trim. Skewness (35/119)	-0.040200	0.904400	Trim. Kurtosis (35/119)	-1.037700	0.118800
Trim. Skewness (36/119)	-0.057000	0.865000	Trim. Kurtosis (36/119)	-1.009000	0.136200
Trim. Skewness (37/119)	-0.085200	0.802600	Trim. Kurtosis (37/119)	-0.997700	0.149800
Trim. Skewness (38/119)	-0.105600	0.764200	Trim. Kurtosis (38/119)	-0.955200	0.177000
Trim. Skewness (39/119)	-0.130300	0.718800	Trim. Kurtosis (39/119)	-0.940600	0.193600
Trim. Skewness (40/119)	-0.167100	0.652800	Trim. Kurtosis (40/119)	-0.993600	0.177000

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