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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 18:36:46 +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/t12911420921wgorcu5wsqmixf.htm/, Retrieved Sat, 21 Dec 2024 16:13:18 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103722, Retrieved Sat, 21 Dec 2024 16:13:18 +0000

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187

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

-     [Skewness and Kurtosis] [Kurtosis analysis...] [2007-09-10 12:58:14] [34354a2f772eeadc2ea8c4c156a37515]
-  M D  [Skewness and Kurtosis] [] [2010-11-30 18:24:16] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:36:46] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]

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40,88689209
46,00535977
39,65792576
41,25090739
40,29780378
42,47542058
40,49618464
42,23454745
39,47708245
36,64600967
36,98014396
44,49939502
39,48059511
42,11495668
43,33151586
42,91362685
36,89810264
39,56948108
40,88253132
44,43942702
41,41271943
38,54636633
43,78199143
40,58789394
41,10175555
38,92643585
38,68309123
41,68302117
37,93471857
39,37416585
43,18527708
43,03901432
40,11138596
39,59509703
36,66279369
44,46062461
38,71629026
41,36132222
38,07959373
42,07144983
39,38666232
39,73026831
42,68989498
40,60167812
32,25669168
37,34782746
37,36419731
43,02756669
38,66343524
37,81770537
40,68692341
39,09262244
41,00284733
39,87866886
41,62302386
38,60745492
38,60323148
41,09227226
42,58040423
38,22008785
41,42915838
42,23365719
43,2277209
37,41605801
39,40457721
38,37055427
41,88096982
41,41600896
38,76589674
37,81991217
40,72330886
43,02522828
41,91270694
38,69114551
38,73776296
42,31245689
37,35459451
39,78929892
38,93005948
40,78539083
40,43603594
41,28185538
39,59086494
37,51267835
44,6098761
41,37029776
44,00122549
41,17585299
41,01711747
39,36737389
39,80471051
39,49789187
43,02530968
42,45044158
42,79202981
38,33415292
41,54922556
38,06227775
40,08608712
41,98790924
38,15615249
37,05273422
40,2115715
40,80098447
37,11229434
38,69467607
38,00037676
39,83957016
41,64042354
39,34352072
40,29394764
42,33725728
39,9931448
43,89857513
38,31138407
39,25401088
39,87451733
41,0353285
42,8879193
40,60701185

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-1.551099	FISHER 4th Cent. Mom.	78.076094
FISHER beta 1	0.023552	FISHER beta 2	3.572853
FISHER gamma 1	-0.153466	FISHER gamma 2	0.572853
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.686321	FISHER Test 2	1.280939
FISHER Test 1 Probability	0.490200	FISHER Test 2 Probability	0.197000
Pearson 2	0.070773
Yule using Quartile definition:Weighted Average at Xnp	-0.005055
Yule using Quartile definition:Weighted Average at X(n+1)p	0.004088
Yule using Quartile definition:Empirical Distribution Function	-0.005055
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.003312
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.002530
Yule using Quartile definition:Closest Observation	-0.005055
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.002530
Yule using Quartile definition:MS Excel (old versions)	0.004858
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.155416	Kurtosis (small sample)	0.649175
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.703624	TEST 1 (small sample)	1.481018
TEST 1 Prob. (small sample)	0.477600	TEST 1 Prob. (small sample)	0.136200
Observations	120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-1.551099 & FISHER 4th Cent. Mom.

78.076094 \tabularnewline FISHER beta 1

0.023552 & FISHER beta 2

3.572853 \tabularnewline FISHER gamma 1

-0.153466 & FISHER gamma 2

0.572853 \tabularnewline FISHER gamma 1 (S.E.)

0.223607 & FISHER gamma 2 (S.E.)

0.447214 \tabularnewline FISHER Test 1

-0.686321 & FISHER Test 2

1.280939 \tabularnewline FISHER Test 1 Probability

0.490200 & FISHER Test 2 Probability

0.197000 \tabularnewline Pearson 2

0.070773 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.005055 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.004088 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

-0.005055 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.003312 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.002530 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.005055 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.002530 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.004858 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.155416 & Kurtosis (small sample)

0.649175 \tabularnewline Skewness S.E. (small sample)

0.220879 & Kurtosis S.E. (small sample)

0.438331 \tabularnewline TEST 1 (small sample)

-0.703624 & TEST 1 (small sample)

1.481018 \tabularnewline TEST 1 Prob. (small sample)

0.477600 & TEST 1 Prob. (small sample)

0.136200 \tabularnewline Observations

120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103722&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]

-1.551099[/C][C]FISHER 4th Cent. Mom.[/C]

78.076094[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.023552[/C][C]FISHER beta 2[/C]

3.572853[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.153466[/C][C]FISHER gamma 2[/C]

0.572853[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]

0.223607[/C][C]FISHER gamma 2 (S.E.)[/C]

0.447214[/C][/ROW] [ROW][C]FISHER Test 1[/C]

-0.686321[/C][C]FISHER Test 2[/C]

1.280939[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.490200[/C][C]FISHER Test 2 Probability[/C]

0.197000[/C][/ROW] [ROW][C]Pearson 2[/C]

0.070773[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.005055[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.004088[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

-0.005055[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.003312[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.002530[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.005055[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.002530[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.004858[/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]

-0.155416[/C][C]Kurtosis (small sample)[/C]

0.649175[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]

0.220879[/C][C]Kurtosis S.E. (small sample)[/C]

0.438331[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]

-0.703624[/C][C]TEST 1 (small sample)[/C]

1.481018[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.477600[/C][C]TEST 1 Prob. (small sample)[/C]

0.136200[/C][/ROW] [ROW][C]Observations[/C]

120[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103722&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103722&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.	-1.551099	FISHER 4th Cent. Mom.	78.076094
FISHER beta 1	0.023552	FISHER beta 2	3.572853
FISHER gamma 1	-0.153466	FISHER gamma 2	0.572853
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.686321	FISHER Test 2	1.280939
FISHER Test 1 Probability	0.490200	FISHER Test 2 Probability	0.197000
Pearson 2	0.070773
Yule using Quartile definition:Weighted Average at Xnp	-0.005055
Yule using Quartile definition:Weighted Average at X(n+1)p	0.004088
Yule using Quartile definition:Empirical Distribution Function	-0.005055
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.003312
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.002530
Yule using Quartile definition:Closest Observation	-0.005055
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.002530
Yule using Quartile definition:MS Excel (old versions)	0.004858
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.155416	Kurtosis (small sample)	0.649175
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.703624	TEST 1 (small sample)	1.481018
TEST 1 Prob. (small sample)	0.477600	TEST 1 Prob. (small sample)	0.136200
Observations	120

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)	Value	Probability	Kurtosis Measure (small sample)	Value	Probability
Trim. Skewness (0/120)	-0.155400	0.477600	Trim. Kurtosis (0/120)	0.649200	0.136200
Trim. Skewness (1/120)	0.147400	0.502800	Trim. Kurtosis (1/120)	-0.757500	0.085400
Trim. Skewness (2/120)	0.139500	0.528600	Trim. Kurtosis (2/120)	-0.781300	0.078400
Trim. Skewness (3/120)	0.133700	0.548400	Trim. Kurtosis (3/120)	-0.814900	0.068800
Trim. Skewness (4/120)	0.116600	0.603000	Trim. Kurtosis (4/120)	-0.855500	0.058800
Trim. Skewness (5/120)	0.091500	0.689200	Trim. Kurtosis (5/120)	-0.919100	0.043400
Trim. Skewness (6/120)	0.083000	0.718800	Trim. Kurtosis (6/120)	-0.951000	0.038400
Trim. Skewness (7/120)	0.074800	0.749000	Trim. Kurtosis (7/120)	-0.990300	0.033200
Trim. Skewness (8/120)	0.059200	0.802600	Trim. Kurtosis (8/120)	-1.023100	0.029200
Trim. Skewness (9/120)	0.064200	0.787200	Trim. Kurtosis (9/120)	-1.029000	0.029200
Trim. Skewness (10/120)	0.074600	0.756600	Trim. Kurtosis (10/120)	-1.038500	0.029200
Trim. Skewness (11/120)	0.086200	0.718800	Trim. Kurtosis (11/120)	-1.053900	0.028600
Trim. Skewness (12/120)	0.101600	0.674400	Trim. Kurtosis (12/120)	-1.063600	0.028600
Trim. Skewness (13/120)	0.102700	0.674400	Trim. Kurtosis (13/120)	-1.059300	0.030800
Trim. Skewness (14/120)	0.103500	0.674400	Trim. Kurtosis (14/120)	-1.064500	0.032400
Trim. Skewness (15/120)	0.096900	0.696600	Trim. Kurtosis (15/120)	-1.074600	0.032400
Trim. Skewness (16/120)	0.091600	0.718800	Trim. Kurtosis (16/120)	-1.081000	0.033200
Trim. Skewness (17/120)	0.082200	0.749000	Trim. Kurtosis (17/120)	-1.094400	0.033200
Trim. Skewness (18/120)	0.075900	0.771800	Trim. Kurtosis (18/120)	-1.110400	0.032400
Trim. Skewness (19/120)	0.070100	0.787200	Trim. Kurtosis (19/120)	-1.123200	0.032400
Trim. Skewness (20/120)	0.066300	0.802600	Trim. Kurtosis (20/120)	-1.131500	0.033200
Trim. Skewness (21/120)	0.062600	0.810400	Trim. Kurtosis (21/120)	-1.132000	0.034800
Trim. Skewness (22/120)	0.057700	0.833600	Trim. Kurtosis (22/120)	-1.141100	0.035800
Trim. Skewness (23/120)	0.058100	0.833600	Trim. Kurtosis (23/120)	-1.146400	0.037600
Trim. Skewness (24/120)	0.045400	0.865000	Trim. Kurtosis (24/120)	-1.145600	0.040400
Trim. Skewness (25/120)	0.031900	0.904400	Trim. Kurtosis (25/120)	-1.140400	0.043400
Trim. Skewness (26/120)	0.013300	0.960200	Trim. Kurtosis (26/120)	-1.150000	0.044400
Trim. Skewness (27/120)	-0.002300	0.992000	Trim. Kurtosis (27/120)	-1.149100	0.047800
Trim. Skewness (28/120)	-0.019700	0.944200	Trim. Kurtosis (28/120)	-1.154900	0.050000
Trim. Skewness (29/120)	-0.032400	0.912400	Trim. Kurtosis (29/120)	-1.163500	0.051200
Trim. Skewness (30/120)	-0.038900	0.896600	Trim. Kurtosis (30/120)	-1.180500	0.051200
Trim. Skewness (31/120)	-0.045500	0.880800	Trim. Kurtosis (31/120)	-1.219300	0.047800
Trim. Skewness (32/120)	-0.025600	0.928200	Trim. Kurtosis (32/120)	-1.248400	0.046600
Trim. Skewness (33/120)	0.004800	0.984000	Trim. Kurtosis (33/120)	-1.301900	0.041400
Trim. Skewness (34/120)	0.016400	0.960200	Trim. Kurtosis (34/120)	-1.339700	0.038400
Trim. Skewness (35/120)	0.046500	0.888600	Trim. Kurtosis (35/120)	-1.405200	0.033200
Trim. Skewness (36/120)	0.070600	0.833600	Trim. Kurtosis (36/120)	-1.425500	0.034000
Trim. Skewness (37/120)	0.073500	0.825800	Trim. Kurtosis (37/120)	-1.422200	0.038400
Trim. Skewness (38/120)	0.061800	0.857200	Trim. Kurtosis (38/120)	-1.417700	0.042400
Trim. Skewness (39/120)	0.048900	0.888600	Trim. Kurtosis (39/120)	-1.412000	0.047800
Trim. Skewness (40/120)	0.029100	0.936200	Trim. Kurtosis (40/120)	-1.423700	0.051200

\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 (0/120)

-0.155400

0.477600 & Trim. Kurtosis (0/120)

0.649200

0.136200 \tabularnewline Trim. Skewness (1/120)

0.147400

0.502800 & Trim. Kurtosis (1/120)

-0.757500

0.085400 \tabularnewline Trim. Skewness (2/120)

0.139500

0.528600 & Trim. Kurtosis (2/120)

-0.781300

0.078400 \tabularnewline Trim. Skewness (3/120)

0.133700

0.548400 & Trim. Kurtosis (3/120)

-0.814900

0.068800 \tabularnewline Trim. Skewness (4/120)

0.116600

0.603000 & Trim. Kurtosis (4/120)

-0.855500

0.058800 \tabularnewline Trim. Skewness (5/120)

0.091500

0.689200 & Trim. Kurtosis (5/120)

-0.919100

0.043400 \tabularnewline Trim. Skewness (6/120)

0.083000

0.718800 & Trim. Kurtosis (6/120)

-0.951000

0.038400 \tabularnewline Trim. Skewness (7/120)

0.074800

0.749000 & Trim. Kurtosis (7/120)

-0.990300

0.033200 \tabularnewline Trim. Skewness (8/120)

0.059200

0.802600 & Trim. Kurtosis (8/120)

-1.023100

0.029200 \tabularnewline Trim. Skewness (9/120)

0.064200

0.787200 & Trim. Kurtosis (9/120)

-1.029000

0.029200 \tabularnewline Trim. Skewness (10/120)

0.074600

0.756600 & Trim. Kurtosis (10/120)

-1.038500

0.029200 \tabularnewline Trim. Skewness (11/120)

0.086200

0.718800 & Trim. Kurtosis (11/120)

-1.053900

0.028600 \tabularnewline Trim. Skewness (12/120)

0.101600

0.674400 & Trim. Kurtosis (12/120)

-1.063600

0.028600 \tabularnewline Trim. Skewness (13/120)

0.102700

0.674400 & Trim. Kurtosis (13/120)

-1.059300

0.030800 \tabularnewline Trim. Skewness (14/120)

0.103500

0.674400 & Trim. Kurtosis (14/120)

-1.064500

0.032400 \tabularnewline Trim. Skewness (15/120)

0.096900

0.696600 & Trim. Kurtosis (15/120)

-1.074600

0.032400 \tabularnewline Trim. Skewness (16/120)

0.091600

0.718800 & Trim. Kurtosis (16/120)

-1.081000

0.033200 \tabularnewline Trim. Skewness (17/120)

0.082200

0.749000 & Trim. Kurtosis (17/120)

-1.094400

0.033200 \tabularnewline Trim. Skewness (18/120)

0.075900

0.771800 & Trim. Kurtosis (18/120)

-1.110400

0.032400 \tabularnewline Trim. Skewness (19/120)

0.070100

0.787200 & Trim. Kurtosis (19/120)

-1.123200

0.032400 \tabularnewline Trim. Skewness (20/120)

0.066300

0.802600 & Trim. Kurtosis (20/120)

-1.131500

0.033200 \tabularnewline Trim. Skewness (21/120)

0.062600

0.810400 & Trim. Kurtosis (21/120)

-1.132000

0.034800 \tabularnewline Trim. Skewness (22/120)

0.057700

0.833600 & Trim. Kurtosis (22/120)

-1.141100

0.035800 \tabularnewline Trim. Skewness (23/120)

0.058100

0.833600 & Trim. Kurtosis (23/120)

-1.146400

0.037600 \tabularnewline Trim. Skewness (24/120)

0.045400

0.865000 & Trim. Kurtosis (24/120)

-1.145600

0.040400 \tabularnewline Trim. Skewness (25/120)

0.031900

0.904400 & Trim. Kurtosis (25/120)

-1.140400

0.043400 \tabularnewline Trim. Skewness (26/120)

0.013300

0.960200 & Trim. Kurtosis (26/120)

-1.150000

0.044400 \tabularnewline Trim. Skewness (27/120)

-0.002300

0.992000 & Trim. Kurtosis (27/120)

-1.149100

0.047800 \tabularnewline Trim. Skewness (28/120)

-0.019700

0.944200 & Trim. Kurtosis (28/120)

-1.154900

0.050000 \tabularnewline Trim. Skewness (29/120)

-0.032400

0.912400 & Trim. Kurtosis (29/120)

-1.163500

0.051200 \tabularnewline Trim. Skewness (30/120)

-0.038900

0.896600 & Trim. Kurtosis (30/120)

-1.180500

0.051200 \tabularnewline Trim. Skewness (31/120)

-0.045500

0.880800 & Trim. Kurtosis (31/120)

-1.219300

0.047800 \tabularnewline Trim. Skewness (32/120)

-0.025600

0.928200 & Trim. Kurtosis (32/120)

-1.248400

0.046600 \tabularnewline Trim. Skewness (33/120)

0.004800

0.984000 & Trim. Kurtosis (33/120)

-1.301900

0.041400 \tabularnewline Trim. Skewness (34/120)

0.016400

0.960200 & Trim. Kurtosis (34/120)

-1.339700

0.038400 \tabularnewline Trim. Skewness (35/120)

0.046500

0.888600 & Trim. Kurtosis (35/120)

-1.405200

0.033200 \tabularnewline Trim. Skewness (36/120)

0.070600

0.833600 & Trim. Kurtosis (36/120)

-1.425500

0.034000 \tabularnewline Trim. Skewness (37/120)

0.073500

0.825800 & Trim. Kurtosis (37/120)

-1.422200

0.038400 \tabularnewline Trim. Skewness (38/120)

0.061800

0.857200 & Trim. Kurtosis (38/120)

-1.417700

0.042400 \tabularnewline Trim. Skewness (39/120)

0.048900

0.888600 & Trim. Kurtosis (39/120)

-1.412000

0.047800 \tabularnewline Trim. Skewness (40/120)

0.029100

0.936200 & Trim. Kurtosis (40/120)

-1.423700

0.051200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103722&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 (0/120)[/C]

-0.155400[/C]

0.477600[/C][C]Trim. Kurtosis (0/120)[/C]

0.649200[/C]

0.136200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]

0.147400[/C]

0.502800[/C][C]Trim. Kurtosis (1/120)[/C]

-0.757500[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]

0.139500[/C]

0.528600[/C][C]Trim. Kurtosis (2/120)[/C]

-0.781300[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]

0.133700[/C]

0.548400[/C][C]Trim. Kurtosis (3/120)[/C]

-0.814900[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]

0.116600[/C]

0.603000[/C][C]Trim. Kurtosis (4/120)[/C]

-0.855500[/C]

0.058800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]

0.091500[/C]

0.689200[/C][C]Trim. Kurtosis (5/120)[/C]

-0.919100[/C]

0.043400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]

0.083000[/C]

0.718800[/C][C]Trim. Kurtosis (6/120)[/C]

-0.951000[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]

0.074800[/C]

0.749000[/C][C]Trim. Kurtosis (7/120)[/C]

-0.990300[/C]

0.033200[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]

0.059200[/C]

0.802600[/C][C]Trim. Kurtosis (8/120)[/C]

-1.023100[/C]

0.029200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]

0.064200[/C]

0.787200[/C][C]Trim. Kurtosis (9/120)[/C]

-1.029000[/C]

0.029200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]

0.074600[/C]

0.756600[/C][C]Trim. Kurtosis (10/120)[/C]

-1.038500[/C]

0.029200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]

0.086200[/C]

0.718800[/C][C]Trim. Kurtosis (11/120)[/C]

-1.053900[/C]

0.028600[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]

0.101600[/C]

0.674400[/C][C]Trim. Kurtosis (12/120)[/C]

-1.063600[/C]

0.028600[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]

0.102700[/C]

0.674400[/C][C]Trim. Kurtosis (13/120)[/C]

-1.059300[/C]

0.030800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]

0.103500[/C]

0.674400[/C][C]Trim. Kurtosis (14/120)[/C]

-1.064500[/C]

0.032400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]

0.096900[/C]

0.696600[/C][C]Trim. Kurtosis (15/120)[/C]

-1.074600[/C]

0.032400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]

0.091600[/C]

0.718800[/C][C]Trim. Kurtosis (16/120)[/C]

-1.081000[/C]

0.033200[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]

0.082200[/C]

0.749000[/C][C]Trim. Kurtosis (17/120)[/C]

-1.094400[/C]

0.033200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]

0.075900[/C]

0.771800[/C][C]Trim. Kurtosis (18/120)[/C]

-1.110400[/C]

0.032400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]

0.070100[/C]

0.787200[/C][C]Trim. Kurtosis (19/120)[/C]

-1.123200[/C]

0.032400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]

0.066300[/C]

0.802600[/C][C]Trim. Kurtosis (20/120)[/C]

-1.131500[/C]

0.033200[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]

0.062600[/C]

0.810400[/C][C]Trim. Kurtosis (21/120)[/C]

-1.132000[/C]

0.034800[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]

0.057700[/C]

0.833600[/C][C]Trim. Kurtosis (22/120)[/C]

-1.141100[/C]

0.035800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]

0.058100[/C]

0.833600[/C][C]Trim. Kurtosis (23/120)[/C]

-1.146400[/C]

0.037600[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]

0.045400[/C]

0.865000[/C][C]Trim. Kurtosis (24/120)[/C]

-1.145600[/C]

0.040400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]

0.031900[/C]

0.904400[/C][C]Trim. Kurtosis (25/120)[/C]

-1.140400[/C]

0.043400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]

0.013300[/C]

0.960200[/C][C]Trim. Kurtosis (26/120)[/C]

-1.150000[/C]

0.044400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]

-0.002300[/C]

0.992000[/C][C]Trim. Kurtosis (27/120)[/C]

-1.149100[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]

-0.019700[/C]

0.944200[/C][C]Trim. Kurtosis (28/120)[/C]

-1.154900[/C]

0.050000[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]

-0.032400[/C]

0.912400[/C][C]Trim. Kurtosis (29/120)[/C]

-1.163500[/C]

0.051200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]

-0.038900[/C]

0.896600[/C][C]Trim. Kurtosis (30/120)[/C]

-1.180500[/C]

0.051200[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]

-0.045500[/C]

0.880800[/C][C]Trim. Kurtosis (31/120)[/C]

-1.219300[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]

-0.025600[/C]

0.928200[/C][C]Trim. Kurtosis (32/120)[/C]

-1.248400[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]

0.004800[/C]

0.984000[/C][C]Trim. Kurtosis (33/120)[/C]

-1.301900[/C]

0.041400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]

0.016400[/C]

0.960200[/C][C]Trim. Kurtosis (34/120)[/C]

-1.339700[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]

0.046500[/C]

0.888600[/C][C]Trim. Kurtosis (35/120)[/C]

-1.405200[/C]

0.033200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]

0.070600[/C]

0.833600[/C][C]Trim. Kurtosis (36/120)[/C]

-1.425500[/C]

0.034000[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]

0.073500[/C]

0.825800[/C][C]Trim. Kurtosis (37/120)[/C]

-1.422200[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]

0.061800[/C]

0.857200[/C][C]Trim. Kurtosis (38/120)[/C]

-1.417700[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]

0.048900[/C]

0.888600[/C][C]Trim. Kurtosis (39/120)[/C]

-1.412000[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]

0.029100[/C]

0.936200[/C][C]Trim. Kurtosis (40/120)[/C]

-1.423700[/C]

0.051200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103722&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103722&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 (0/120)	-0.155400	0.477600	Trim. Kurtosis (0/120)	0.649200	0.136200
Trim. Skewness (1/120)	0.147400	0.502800	Trim. Kurtosis (1/120)	-0.757500	0.085400
Trim. Skewness (2/120)	0.139500	0.528600	Trim. Kurtosis (2/120)	-0.781300	0.078400
Trim. Skewness (3/120)	0.133700	0.548400	Trim. Kurtosis (3/120)	-0.814900	0.068800
Trim. Skewness (4/120)	0.116600	0.603000	Trim. Kurtosis (4/120)	-0.855500	0.058800
Trim. Skewness (5/120)	0.091500	0.689200	Trim. Kurtosis (5/120)	-0.919100	0.043400
Trim. Skewness (6/120)	0.083000	0.718800	Trim. Kurtosis (6/120)	-0.951000	0.038400
Trim. Skewness (7/120)	0.074800	0.749000	Trim. Kurtosis (7/120)	-0.990300	0.033200
Trim. Skewness (8/120)	0.059200	0.802600	Trim. Kurtosis (8/120)	-1.023100	0.029200
Trim. Skewness (9/120)	0.064200	0.787200	Trim. Kurtosis (9/120)	-1.029000	0.029200
Trim. Skewness (10/120)	0.074600	0.756600	Trim. Kurtosis (10/120)	-1.038500	0.029200
Trim. Skewness (11/120)	0.086200	0.718800	Trim. Kurtosis (11/120)	-1.053900	0.028600
Trim. Skewness (12/120)	0.101600	0.674400	Trim. Kurtosis (12/120)	-1.063600	0.028600
Trim. Skewness (13/120)	0.102700	0.674400	Trim. Kurtosis (13/120)	-1.059300	0.030800
Trim. Skewness (14/120)	0.103500	0.674400	Trim. Kurtosis (14/120)	-1.064500	0.032400
Trim. Skewness (15/120)	0.096900	0.696600	Trim. Kurtosis (15/120)	-1.074600	0.032400
Trim. Skewness (16/120)	0.091600	0.718800	Trim. Kurtosis (16/120)	-1.081000	0.033200
Trim. Skewness (17/120)	0.082200	0.749000	Trim. Kurtosis (17/120)	-1.094400	0.033200
Trim. Skewness (18/120)	0.075900	0.771800	Trim. Kurtosis (18/120)	-1.110400	0.032400
Trim. Skewness (19/120)	0.070100	0.787200	Trim. Kurtosis (19/120)	-1.123200	0.032400
Trim. Skewness (20/120)	0.066300	0.802600	Trim. Kurtosis (20/120)	-1.131500	0.033200
Trim. Skewness (21/120)	0.062600	0.810400	Trim. Kurtosis (21/120)	-1.132000	0.034800
Trim. Skewness (22/120)	0.057700	0.833600	Trim. Kurtosis (22/120)	-1.141100	0.035800
Trim. Skewness (23/120)	0.058100	0.833600	Trim. Kurtosis (23/120)	-1.146400	0.037600
Trim. Skewness (24/120)	0.045400	0.865000	Trim. Kurtosis (24/120)	-1.145600	0.040400
Trim. Skewness (25/120)	0.031900	0.904400	Trim. Kurtosis (25/120)	-1.140400	0.043400
Trim. Skewness (26/120)	0.013300	0.960200	Trim. Kurtosis (26/120)	-1.150000	0.044400
Trim. Skewness (27/120)	-0.002300	0.992000	Trim. Kurtosis (27/120)	-1.149100	0.047800
Trim. Skewness (28/120)	-0.019700	0.944200	Trim. Kurtosis (28/120)	-1.154900	0.050000
Trim. Skewness (29/120)	-0.032400	0.912400	Trim. Kurtosis (29/120)	-1.163500	0.051200
Trim. Skewness (30/120)	-0.038900	0.896600	Trim. Kurtosis (30/120)	-1.180500	0.051200
Trim. Skewness (31/120)	-0.045500	0.880800	Trim. Kurtosis (31/120)	-1.219300	0.047800
Trim. Skewness (32/120)	-0.025600	0.928200	Trim. Kurtosis (32/120)	-1.248400	0.046600
Trim. Skewness (33/120)	0.004800	0.984000	Trim. Kurtosis (33/120)	-1.301900	0.041400
Trim. Skewness (34/120)	0.016400	0.960200	Trim. Kurtosis (34/120)	-1.339700	0.038400
Trim. Skewness (35/120)	0.046500	0.888600	Trim. Kurtosis (35/120)	-1.405200	0.033200
Trim. Skewness (36/120)	0.070600	0.833600	Trim. Kurtosis (36/120)	-1.425500	0.034000
Trim. Skewness (37/120)	0.073500	0.825800	Trim. Kurtosis (37/120)	-1.422200	0.038400
Trim. Skewness (38/120)	0.061800	0.857200	Trim. Kurtosis (38/120)	-1.417700	0.042400
Trim. Skewness (39/120)	0.048900	0.888600	Trim. Kurtosis (39/120)	-1.412000	0.047800
Trim. Skewness (40/120)	0.029100	0.936200	Trim. Kurtosis (40/120)	-1.423700	0.051200

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