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Author

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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 22:51:58 +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/t12911573955o154mrkl0gyf5h.htm/, Retrieved Mon, 29 Apr 2024 14:27:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103871, Retrieved Mon, 29 Apr 2024 14:27:23 +0000

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Original text written by user:

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No (this computation is public)

User-defined keywords

Estimated Impact

146

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 22:51:58] [13dfa60174f50d862e8699db2153bfc5] [Current]

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0,004603246
0,001105587
-0,007492386
0,000153163
-0,011430142
-0,003684052
-0,007409438
0,004279852
0,007023214
0,001464209
0,00083448
-0,001095584
0,002655925
5,19149E-05
-0,002185789
-0,002721546
-0,005229027
0,000371805
0,00042453
-0,005014634
0,001980761
-0,000374046
0,002133081
0,004919289
-0,002426232
-0,002599462
-0,003097158
-0,003119404
0,008233824
0,001374853
-0,002860347
0,00349343
0,003256305
-0,007281502
-0,00363339
0,00176706
-0,001284421
-0,002310797
-0,003679567
0,005615024
-0,005126229
0,001408993
-0,006541524
0,001918144
0,010427675
-0,024431217
0,003207216
0,00257112
-0,003525182
-0,002083761
-0,003571194
-0,006595553
-0,003947631
-0,000350049
-0,001520149
0,00396459
-0,003437782
-0,002699312
0,002757807
-0,002993325
-0,009888355
-0,005761969
-0,006892731
0,004382174
6,14061E-05
-0,000491492
-0,007439916
0,003611876
0,009810825
-0,005491293
0,006581269
-0,000726346
0,000363325
-0,010041938
0,007979066
-0,002561857
0,010755199
0,003862005
0,004238202
-0,004238202
0,00017742
-0,001599395
0,0060115
0,001110653
-0,00813221
0,003790403
-5,89713E-05
0,000353708
-0,005873343
-0,007288103
-0,006795077
-0,001607126
-0,014034065
0,007859601
0,007534727
-6,17378E-05
-0,001112784
0,001483079
-0,002660785
0,001177706
-0,005795249
-0,011183621
0,004737339
-0,002234194
0,002106835
-0,001914882
0,000319734
0,010670853
0,005392722
-0,003960536
0,000931496
0,016135316
0,010510971
0,006083061
-0,003987828
-0,002211932
-0,006171147
-0,006440294
0,001199875

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	0.112603	FISHER beta 2	5.016548
FISHER gamma 1	-0.335564	FISHER gamma 2	2.016548
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-1.494423	FISHER Test 2	4.490311
FISHER Test 1 Probability	0.133600	FISHER Test 2 Probability	0.000000
Pearson 2	-0.118047
Yule using Quartile definition:Weighted Average at Xnp	-0.049828
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.027656
Yule using Quartile definition:Empirical Distribution Function	-0.027656
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.027656
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.035508
Yule using Quartile definition:Closest Observation	-0.044170
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.027656
Yule using Quartile definition:MS Excel (old versions)	-0.027656
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.339863	Kurtosis (small sample)	2.156080
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-1.532419	TEST 1 (small sample)	4.899102
TEST 1 Prob. (small sample)	0.123600	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

0.112603 & FISHER beta 2

5.016548 \tabularnewline FISHER gamma 1

-0.335564 & FISHER gamma 2

2.016548 \tabularnewline FISHER gamma 1 (S.E.)

0.224544 & FISHER gamma 2 (S.E.)

0.449089 \tabularnewline FISHER Test 1

-1.494423 & FISHER Test 2

4.490311 \tabularnewline FISHER Test 1 Probability

0.133600 & FISHER Test 2 Probability

0.000000 \tabularnewline Pearson 2

-0.118047 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.049828 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

-0.027656 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

-0.027656 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

-0.027656 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

-0.035508 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.044170 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

-0.027656 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

-0.027656 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.339863 & Kurtosis (small sample)

2.156080 \tabularnewline Skewness S.E. (small sample)

0.221782 & Kurtosis S.E. (small sample)

0.440097 \tabularnewline TEST 1 (small sample)

-1.532419 & TEST 1 (small sample)

4.899102 \tabularnewline TEST 1 Prob. (small sample)

0.123600 & TEST 1 Prob. (small sample)

0.000000 \tabularnewline Observations

119 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103871&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]

0.112603[/C][C]FISHER beta 2[/C]

5.016548[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.335564[/C][C]FISHER gamma 2[/C]

2.016548[/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]

-1.494423[/C][C]FISHER Test 2[/C]

4.490311[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.133600[/C][C]FISHER Test 2 Probability[/C]

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

-0.118047[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.049828[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

-0.027656[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

-0.027656[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

-0.027656[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

-0.035508[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.044170[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

-0.027656[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

-0.027656[/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]

-0.339863[/C][C]Kurtosis (small sample)[/C]

2.156080[/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]

-1.532419[/C][C]TEST 1 (small sample)[/C]

4.899102[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.123600[/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=103871&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103871&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	0.112603	FISHER beta 2	5.016548
FISHER gamma 1	-0.335564	FISHER gamma 2	2.016548
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-1.494423	FISHER Test 2	4.490311
FISHER Test 1 Probability	0.133600	FISHER Test 2 Probability	0.000000
Pearson 2	-0.118047
Yule using Quartile definition:Weighted Average at Xnp	-0.049828
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.027656
Yule using Quartile definition:Empirical Distribution Function	-0.027656
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.027656
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.035508
Yule using Quartile definition:Closest Observation	-0.044170
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.027656
Yule using Quartile definition:MS Excel (old versions)	-0.027656
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.339863	Kurtosis (small sample)	2.156080
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-1.532419	TEST 1 (small sample)	4.899102
TEST 1 Prob. (small sample)	0.123600	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)	-0.339900	0.123600	Trim. Kurtosis (0/119)	2.156100	0.000000
Trim. Skewness (1/119)	0.069100	0.756600	Trim. Kurtosis (1/119)	-0.103100	0.810400
Trim. Skewness (2/119)	0.149000	0.502800	Trim. Kurtosis (2/119)	-0.270800	0.541800
Trim. Skewness (3/119)	0.163000	0.471600	Trim. Kurtosis (3/119)	-0.333800	0.459200
Trim. Skewness (4/119)	0.177000	0.435400	Trim. Kurtosis (4/119)	-0.441100	0.332000
Trim. Skewness (5/119)	0.159400	0.490200	Trim. Kurtosis (5/119)	-0.562700	0.218600
Trim. Skewness (6/119)	0.151000	0.515600	Trim. Kurtosis (6/119)	-0.710500	0.123600
Trim. Skewness (7/119)	0.139700	0.548400	Trim. Kurtosis (7/119)	-0.731000	0.116400
Trim. Skewness (8/119)	0.117700	0.617000	Trim. Kurtosis (8/119)	-0.745500	0.111800
Trim. Skewness (9/119)	0.091100	0.704000	Trim. Kurtosis (9/119)	-0.775500	0.103200
Trim. Skewness (10/119)	0.066000	0.779400	Trim. Kurtosis (10/119)	-0.812000	0.091000
Trim. Skewness (11/119)	0.047300	0.841400	Trim. Kurtosis (11/119)	-0.840200	0.081800
Trim. Skewness (12/119)	0.037600	0.872800	Trim. Kurtosis (12/119)	-0.868100	0.075000
Trim. Skewness (13/119)	0.029800	0.904400	Trim. Kurtosis (13/119)	-0.876600	0.075000
Trim. Skewness (14/119)	0.019100	0.936200	Trim. Kurtosis (14/119)	-0.898200	0.071800
Trim. Skewness (15/119)	0.012700	0.960200	Trim. Kurtosis (15/119)	-0.911300	0.070200
Trim. Skewness (16/119)	0.010500	0.960200	Trim. Kurtosis (16/119)	-0.931800	0.067200
Trim. Skewness (17/119)	0.020700	0.936200	Trim. Kurtosis (17/119)	-0.945200	0.067200
Trim. Skewness (18/119)	0.029600	0.904400	Trim. Kurtosis (18/119)	-0.954700	0.067200
Trim. Skewness (19/119)	0.033900	0.896600	Trim. Kurtosis (19/119)	-0.959800	0.068800
Trim. Skewness (20/119)	0.044600	0.865000	Trim. Kurtosis (20/119)	-0.968000	0.070200
Trim. Skewness (21/119)	0.061100	0.818000	Trim. Kurtosis (21/119)	-0.992700	0.065800
Trim. Skewness (22/119)	0.070500	0.794800	Trim. Kurtosis (22/119)	-1.024400	0.061400
Trim. Skewness (23/119)	0.081600	0.764200	Trim. Kurtosis (23/119)	-1.046600	0.058800
Trim. Skewness (24/119)	0.095100	0.733800	Trim. Kurtosis (24/119)	-1.084600	0.053600
Trim. Skewness (25/119)	0.109500	0.704000	Trim. Kurtosis (25/119)	-1.148300	0.043400
Trim. Skewness (26/119)	0.093400	0.749000	Trim. Kurtosis (26/119)	-1.172300	0.042400
Trim. Skewness (27/119)	0.066500	0.818000	Trim. Kurtosis (27/119)	-1.199300	0.040400
Trim. Skewness (28/119)	0.043900	0.880800	Trim. Kurtosis (28/119)	-1.224200	0.039400
Trim. Skewness (29/119)	0.014600	0.960200	Trim. Kurtosis (29/119)	-1.276400	0.034000
Trim. Skewness (30/119)	-0.005300	0.984000	Trim. Kurtosis (30/119)	-1.286300	0.035800
Trim. Skewness (31/119)	-0.025600	0.928200	Trim. Kurtosis (31/119)	-1.306600	0.035800
Trim. Skewness (32/119)	-0.049700	0.872800	Trim. Kurtosis (32/119)	-1.342100	0.034000
Trim. Skewness (33/119)	-0.051500	0.872800	Trim. Kurtosis (33/119)	-1.349200	0.035800
Trim. Skewness (34/119)	-0.054700	0.865000	Trim. Kurtosis (34/119)	-1.372300	0.035800
Trim. Skewness (35/119)	-0.054900	0.865000	Trim. Kurtosis (35/119)	-1.401100	0.035800
Trim. Skewness (36/119)	-0.075200	0.825800	Trim. Kurtosis (36/119)	-1.414500	0.037600
Trim. Skewness (37/119)	-0.089700	0.794800	Trim. Kurtosis (37/119)	-1.430400	0.039400
Trim. Skewness (38/119)	-0.091000	0.794800	Trim. Kurtosis (38/119)	-1.423400	0.044400
Trim. Skewness (39/119)	-0.101600	0.779400	Trim. Kurtosis (39/119)	-1.413000	0.050000
Trim. Skewness (40/119)	-0.121700	0.741400	Trim. Kurtosis (40/119)	-1.394600	0.058800

\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)

-0.339900

0.123600 & Trim. Kurtosis (0/119)

2.156100

0.000000 \tabularnewline Trim. Skewness (1/119)

0.069100

0.756600 & Trim. Kurtosis (1/119)

-0.103100

0.810400 \tabularnewline Trim. Skewness (2/119)

0.149000

0.502800 & Trim. Kurtosis (2/119)

-0.270800

0.541800 \tabularnewline Trim. Skewness (3/119)

0.163000

0.471600 & Trim. Kurtosis (3/119)

-0.333800

0.459200 \tabularnewline Trim. Skewness (4/119)

0.177000

0.435400 & Trim. Kurtosis (4/119)

-0.441100

0.332000 \tabularnewline Trim. Skewness (5/119)

0.159400

0.490200 & Trim. Kurtosis (5/119)

-0.562700

0.218600 \tabularnewline Trim. Skewness (6/119)

0.151000

0.515600 & Trim. Kurtosis (6/119)

-0.710500

0.123600 \tabularnewline Trim. Skewness (7/119)

0.139700

0.548400 & Trim. Kurtosis (7/119)

-0.731000

0.116400 \tabularnewline Trim. Skewness (8/119)

0.117700

0.617000 & Trim. Kurtosis (8/119)

-0.745500

0.111800 \tabularnewline Trim. Skewness (9/119)

0.091100

0.704000 & Trim. Kurtosis (9/119)

-0.775500

0.103200 \tabularnewline Trim. Skewness (10/119)

0.066000

0.779400 & Trim. Kurtosis (10/119)

-0.812000

0.091000 \tabularnewline Trim. Skewness (11/119)

0.047300

0.841400 & Trim. Kurtosis (11/119)

-0.840200

0.081800 \tabularnewline Trim. Skewness (12/119)

0.037600

0.872800 & Trim. Kurtosis (12/119)

-0.868100

0.075000 \tabularnewline Trim. Skewness (13/119)

0.029800

0.904400 & Trim. Kurtosis (13/119)

-0.876600

0.075000 \tabularnewline Trim. Skewness (14/119)

0.019100

0.936200 & Trim. Kurtosis (14/119)

-0.898200

0.071800 \tabularnewline Trim. Skewness (15/119)

0.012700

0.960200 & Trim. Kurtosis (15/119)

-0.911300

0.070200 \tabularnewline Trim. Skewness (16/119)

0.010500

0.960200 & Trim. Kurtosis (16/119)

-0.931800

0.067200 \tabularnewline Trim. Skewness (17/119)

0.020700

0.936200 & Trim. Kurtosis (17/119)

-0.945200

0.067200 \tabularnewline Trim. Skewness (18/119)

0.029600

0.904400 & Trim. Kurtosis (18/119)

-0.954700

0.067200 \tabularnewline Trim. Skewness (19/119)

0.033900

0.896600 & Trim. Kurtosis (19/119)

-0.959800

0.068800 \tabularnewline Trim. Skewness (20/119)

0.044600

0.865000 & Trim. Kurtosis (20/119)

-0.968000

0.070200 \tabularnewline Trim. Skewness (21/119)

0.061100

0.818000 & Trim. Kurtosis (21/119)

-0.992700

0.065800 \tabularnewline Trim. Skewness (22/119)

0.070500

0.794800 & Trim. Kurtosis (22/119)

-1.024400

0.061400 \tabularnewline Trim. Skewness (23/119)

0.081600

0.764200 & Trim. Kurtosis (23/119)

-1.046600

0.058800 \tabularnewline Trim. Skewness (24/119)

0.095100

0.733800 & Trim. Kurtosis (24/119)

-1.084600

0.053600 \tabularnewline Trim. Skewness (25/119)

0.109500

0.704000 & Trim. Kurtosis (25/119)

-1.148300

0.043400 \tabularnewline Trim. Skewness (26/119)

0.093400

0.749000 & Trim. Kurtosis (26/119)

-1.172300

0.042400 \tabularnewline Trim. Skewness (27/119)

0.066500

0.818000 & Trim. Kurtosis (27/119)

-1.199300

0.040400 \tabularnewline Trim. Skewness (28/119)

0.043900

0.880800 & Trim. Kurtosis (28/119)

-1.224200

0.039400 \tabularnewline Trim. Skewness (29/119)

0.014600

0.960200 & Trim. Kurtosis (29/119)

-1.276400

0.034000 \tabularnewline Trim. Skewness (30/119)

-0.005300

0.984000 & Trim. Kurtosis (30/119)

-1.286300

0.035800 \tabularnewline Trim. Skewness (31/119)

-0.025600

0.928200 & Trim. Kurtosis (31/119)

-1.306600

0.035800 \tabularnewline Trim. Skewness (32/119)

-0.049700

0.872800 & Trim. Kurtosis (32/119)

-1.342100

0.034000 \tabularnewline Trim. Skewness (33/119)

-0.051500

0.872800 & Trim. Kurtosis (33/119)

-1.349200

0.035800 \tabularnewline Trim. Skewness (34/119)

-0.054700

0.865000 & Trim. Kurtosis (34/119)

-1.372300

0.035800 \tabularnewline Trim. Skewness (35/119)

-0.054900

0.865000 & Trim. Kurtosis (35/119)

-1.401100

0.035800 \tabularnewline Trim. Skewness (36/119)

-0.075200

0.825800 & Trim. Kurtosis (36/119)

-1.414500

0.037600 \tabularnewline Trim. Skewness (37/119)

-0.089700

0.794800 & Trim. Kurtosis (37/119)

-1.430400

0.039400 \tabularnewline Trim. Skewness (38/119)

-0.091000

0.794800 & Trim. Kurtosis (38/119)

-1.423400

0.044400 \tabularnewline Trim. Skewness (39/119)

-0.101600

0.779400 & Trim. Kurtosis (39/119)

-1.413000

0.050000 \tabularnewline Trim. Skewness (40/119)

-0.121700

0.741400 & Trim. Kurtosis (40/119)

-1.394600

0.058800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103871&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]

-0.339900[/C]

0.123600[/C][C]Trim. Kurtosis (0/119)[/C]

2.156100[/C]

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

0.069100[/C]

0.756600[/C][C]Trim. Kurtosis (1/119)[/C]

-0.103100[/C]

0.810400[/C][/ROW] [ROW][C]Trim. Skewness (2/119)[/C]

0.149000[/C]

0.502800[/C][C]Trim. Kurtosis (2/119)[/C]

-0.270800[/C]

0.541800[/C][/ROW] [ROW][C]Trim. Skewness (3/119)[/C]

0.163000[/C]

0.471600[/C][C]Trim. Kurtosis (3/119)[/C]

-0.333800[/C]

0.459200[/C][/ROW] [ROW][C]Trim. Skewness (4/119)[/C]

0.177000[/C]

0.435400[/C][C]Trim. Kurtosis (4/119)[/C]

-0.441100[/C]

0.332000[/C][/ROW] [ROW][C]Trim. Skewness (5/119)[/C]

0.159400[/C]

0.490200[/C][C]Trim. Kurtosis (5/119)[/C]

-0.562700[/C]

0.218600[/C][/ROW] [ROW][C]Trim. Skewness (6/119)[/C]

0.151000[/C]

0.515600[/C][C]Trim. Kurtosis (6/119)[/C]

-0.710500[/C]

0.123600[/C][/ROW] [ROW][C]Trim. Skewness (7/119)[/C]

0.139700[/C]

0.548400[/C][C]Trim. Kurtosis (7/119)[/C]

-0.731000[/C]

0.116400[/C][/ROW] [ROW][C]Trim. Skewness (8/119)[/C]

0.117700[/C]

0.617000[/C][C]Trim. Kurtosis (8/119)[/C]

-0.745500[/C]

0.111800[/C][/ROW] [ROW][C]Trim. Skewness (9/119)[/C]

0.091100[/C]

0.704000[/C][C]Trim. Kurtosis (9/119)[/C]

-0.775500[/C]

0.103200[/C][/ROW] [ROW][C]Trim. Skewness (10/119)[/C]

0.066000[/C]

0.779400[/C][C]Trim. Kurtosis (10/119)[/C]

-0.812000[/C]

0.091000[/C][/ROW] [ROW][C]Trim. Skewness (11/119)[/C]

0.047300[/C]

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

-0.840200[/C]

0.081800[/C][/ROW] [ROW][C]Trim. Skewness (12/119)[/C]

0.037600[/C]

0.872800[/C][C]Trim. Kurtosis (12/119)[/C]

-0.868100[/C]

0.075000[/C][/ROW] [ROW][C]Trim. Skewness (13/119)[/C]

0.029800[/C]

0.904400[/C][C]Trim. Kurtosis (13/119)[/C]

-0.876600[/C]

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

0.019100[/C]

0.936200[/C][C]Trim. Kurtosis (14/119)[/C]

-0.898200[/C]

0.071800[/C][/ROW] [ROW][C]Trim. Skewness (15/119)[/C]

0.012700[/C]

0.960200[/C][C]Trim. Kurtosis (15/119)[/C]

-0.911300[/C]

0.070200[/C][/ROW] [ROW][C]Trim. Skewness (16/119)[/C]

0.010500[/C]

0.960200[/C][C]Trim. Kurtosis (16/119)[/C]

-0.931800[/C]

0.067200[/C][/ROW] [ROW][C]Trim. Skewness (17/119)[/C]

0.020700[/C]

0.936200[/C][C]Trim. Kurtosis (17/119)[/C]

-0.945200[/C]

0.067200[/C][/ROW] [ROW][C]Trim. Skewness (18/119)[/C]

0.029600[/C]

0.904400[/C][C]Trim. Kurtosis (18/119)[/C]

-0.954700[/C]

0.067200[/C][/ROW] [ROW][C]Trim. Skewness (19/119)[/C]

0.033900[/C]

0.896600[/C][C]Trim. Kurtosis (19/119)[/C]

-0.959800[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (20/119)[/C]

0.044600[/C]

0.865000[/C][C]Trim. Kurtosis (20/119)[/C]

-0.968000[/C]

0.070200[/C][/ROW] [ROW][C]Trim. Skewness (21/119)[/C]

0.061100[/C]

0.818000[/C][C]Trim. Kurtosis (21/119)[/C]

-0.992700[/C]

0.065800[/C][/ROW] [ROW][C]Trim. Skewness (22/119)[/C]

0.070500[/C]

0.794800[/C][C]Trim. Kurtosis (22/119)[/C]

-1.024400[/C]

0.061400[/C][/ROW] [ROW][C]Trim. Skewness (23/119)[/C]

0.081600[/C]

0.764200[/C][C]Trim. Kurtosis (23/119)[/C]

-1.046600[/C]

0.058800[/C][/ROW] [ROW][C]Trim. Skewness (24/119)[/C]

0.095100[/C]

0.733800[/C][C]Trim. Kurtosis (24/119)[/C]

-1.084600[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (25/119)[/C]

0.109500[/C]

0.704000[/C][C]Trim. Kurtosis (25/119)[/C]

-1.148300[/C]

0.043400[/C][/ROW] [ROW][C]Trim. Skewness (26/119)[/C]

0.093400[/C]

0.749000[/C][C]Trim. Kurtosis (26/119)[/C]

-1.172300[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (27/119)[/C]

0.066500[/C]

0.818000[/C][C]Trim. Kurtosis (27/119)[/C]

-1.199300[/C]

0.040400[/C][/ROW] [ROW][C]Trim. Skewness (28/119)[/C]

0.043900[/C]

0.880800[/C][C]Trim. Kurtosis (28/119)[/C]

-1.224200[/C]

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

0.014600[/C]

0.960200[/C][C]Trim. Kurtosis (29/119)[/C]

-1.276400[/C]

0.034000[/C][/ROW] [ROW][C]Trim. Skewness (30/119)[/C]

-0.005300[/C]

0.984000[/C][C]Trim. Kurtosis (30/119)[/C]

-1.286300[/C]

0.035800[/C][/ROW] [ROW][C]Trim. Skewness (31/119)[/C]

-0.025600[/C]

0.928200[/C][C]Trim. Kurtosis (31/119)[/C]

-1.306600[/C]

0.035800[/C][/ROW] [ROW][C]Trim. Skewness (32/119)[/C]

-0.049700[/C]

0.872800[/C][C]Trim. Kurtosis (32/119)[/C]

-1.342100[/C]

0.034000[/C][/ROW] [ROW][C]Trim. Skewness (33/119)[/C]

-0.051500[/C]

0.872800[/C][C]Trim. Kurtosis (33/119)[/C]

-1.349200[/C]

0.035800[/C][/ROW] [ROW][C]Trim. Skewness (34/119)[/C]

-0.054700[/C]

0.865000[/C][C]Trim. Kurtosis (34/119)[/C]

-1.372300[/C]

0.035800[/C][/ROW] [ROW][C]Trim. Skewness (35/119)[/C]

-0.054900[/C]

0.865000[/C][C]Trim. Kurtosis (35/119)[/C]

-1.401100[/C]

0.035800[/C][/ROW] [ROW][C]Trim. Skewness (36/119)[/C]

-0.075200[/C]

0.825800[/C][C]Trim. Kurtosis (36/119)[/C]

-1.414500[/C]

0.037600[/C][/ROW] [ROW][C]Trim. Skewness (37/119)[/C]

-0.089700[/C]

0.794800[/C][C]Trim. Kurtosis (37/119)[/C]

-1.430400[/C]

0.039400[/C][/ROW] [ROW][C]Trim. Skewness (38/119)[/C]

-0.091000[/C]

0.794800[/C][C]Trim. Kurtosis (38/119)[/C]

-1.423400[/C]

0.044400[/C][/ROW] [ROW][C]Trim. Skewness (39/119)[/C]

-0.101600[/C]

0.779400[/C][C]Trim. Kurtosis (39/119)[/C]

-1.413000[/C]

0.050000[/C][/ROW] [ROW][C]Trim. Skewness (40/119)[/C]

-0.121700[/C]

0.741400[/C][C]Trim. Kurtosis (40/119)[/C]

-1.394600[/C]

0.058800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103871&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103871&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)	-0.339900	0.123600	Trim. Kurtosis (0/119)	2.156100	0.000000
Trim. Skewness (1/119)	0.069100	0.756600	Trim. Kurtosis (1/119)	-0.103100	0.810400
Trim. Skewness (2/119)	0.149000	0.502800	Trim. Kurtosis (2/119)	-0.270800	0.541800
Trim. Skewness (3/119)	0.163000	0.471600	Trim. Kurtosis (3/119)	-0.333800	0.459200
Trim. Skewness (4/119)	0.177000	0.435400	Trim. Kurtosis (4/119)	-0.441100	0.332000
Trim. Skewness (5/119)	0.159400	0.490200	Trim. Kurtosis (5/119)	-0.562700	0.218600
Trim. Skewness (6/119)	0.151000	0.515600	Trim. Kurtosis (6/119)	-0.710500	0.123600
Trim. Skewness (7/119)	0.139700	0.548400	Trim. Kurtosis (7/119)	-0.731000	0.116400
Trim. Skewness (8/119)	0.117700	0.617000	Trim. Kurtosis (8/119)	-0.745500	0.111800
Trim. Skewness (9/119)	0.091100	0.704000	Trim. Kurtosis (9/119)	-0.775500	0.103200
Trim. Skewness (10/119)	0.066000	0.779400	Trim. Kurtosis (10/119)	-0.812000	0.091000
Trim. Skewness (11/119)	0.047300	0.841400	Trim. Kurtosis (11/119)	-0.840200	0.081800
Trim. Skewness (12/119)	0.037600	0.872800	Trim. Kurtosis (12/119)	-0.868100	0.075000
Trim. Skewness (13/119)	0.029800	0.904400	Trim. Kurtosis (13/119)	-0.876600	0.075000
Trim. Skewness (14/119)	0.019100	0.936200	Trim. Kurtosis (14/119)	-0.898200	0.071800
Trim. Skewness (15/119)	0.012700	0.960200	Trim. Kurtosis (15/119)	-0.911300	0.070200
Trim. Skewness (16/119)	0.010500	0.960200	Trim. Kurtosis (16/119)	-0.931800	0.067200
Trim. Skewness (17/119)	0.020700	0.936200	Trim. Kurtosis (17/119)	-0.945200	0.067200
Trim. Skewness (18/119)	0.029600	0.904400	Trim. Kurtosis (18/119)	-0.954700	0.067200
Trim. Skewness (19/119)	0.033900	0.896600	Trim. Kurtosis (19/119)	-0.959800	0.068800
Trim. Skewness (20/119)	0.044600	0.865000	Trim. Kurtosis (20/119)	-0.968000	0.070200
Trim. Skewness (21/119)	0.061100	0.818000	Trim. Kurtosis (21/119)	-0.992700	0.065800
Trim. Skewness (22/119)	0.070500	0.794800	Trim. Kurtosis (22/119)	-1.024400	0.061400
Trim. Skewness (23/119)	0.081600	0.764200	Trim. Kurtosis (23/119)	-1.046600	0.058800
Trim. Skewness (24/119)	0.095100	0.733800	Trim. Kurtosis (24/119)	-1.084600	0.053600
Trim. Skewness (25/119)	0.109500	0.704000	Trim. Kurtosis (25/119)	-1.148300	0.043400
Trim. Skewness (26/119)	0.093400	0.749000	Trim. Kurtosis (26/119)	-1.172300	0.042400
Trim. Skewness (27/119)	0.066500	0.818000	Trim. Kurtosis (27/119)	-1.199300	0.040400
Trim. Skewness (28/119)	0.043900	0.880800	Trim. Kurtosis (28/119)	-1.224200	0.039400
Trim. Skewness (29/119)	0.014600	0.960200	Trim. Kurtosis (29/119)	-1.276400	0.034000
Trim. Skewness (30/119)	-0.005300	0.984000	Trim. Kurtosis (30/119)	-1.286300	0.035800
Trim. Skewness (31/119)	-0.025600	0.928200	Trim. Kurtosis (31/119)	-1.306600	0.035800
Trim. Skewness (32/119)	-0.049700	0.872800	Trim. Kurtosis (32/119)	-1.342100	0.034000
Trim. Skewness (33/119)	-0.051500	0.872800	Trim. Kurtosis (33/119)	-1.349200	0.035800
Trim. Skewness (34/119)	-0.054700	0.865000	Trim. Kurtosis (34/119)	-1.372300	0.035800
Trim. Skewness (35/119)	-0.054900	0.865000	Trim. Kurtosis (35/119)	-1.401100	0.035800
Trim. Skewness (36/119)	-0.075200	0.825800	Trim. Kurtosis (36/119)	-1.414500	0.037600
Trim. Skewness (37/119)	-0.089700	0.794800	Trim. Kurtosis (37/119)	-1.430400	0.039400
Trim. Skewness (38/119)	-0.091000	0.794800	Trim. Kurtosis (38/119)	-1.423400	0.044400
Trim. Skewness (39/119)	-0.101600	0.779400	Trim. Kurtosis (39/119)	-1.413000	0.050000
Trim. Skewness (40/119)	-0.121700	0.741400	Trim. Kurtosis (40/119)	-1.394600	0.058800

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