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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 14:45:45 +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/t1291128225536mk44c3ajikv3.htm/, Retrieved Mon, 29 Apr 2024 08:35:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103549, Retrieved Mon, 29 Apr 2024 08:35:33 +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 14:45:45] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]

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50.75129789
44.75438069
51.12900454
51.83519562
49.44379061
50.82067193
48.91683445
50.86369809
43.60184486
54.06957639
51.10296014
51.61977976
46.96386373
49.50892549
48.78418128
50.22368258
48.44170927
42.88068935
47.51481906
52.59931693
50.71489038
46.41966071
51.36383284
48.1462722
48.76489205
45.69367451
50.02869886
48.82129853
45.5135058
48.20734486
49.09148264
44.94180162
49.76916992
50.45592363
53.25647378
44.87598118
50.43032035
46.6925083
49.50041349
46.11764181
45.11396843
47.96086851
56.66158311
51.63179841
48.52784222
49.43903638
55.03888103
51.31418775
46.95079982
47.56474681
48.09615873
53.01933641
48.49599517
44.10244119
47.18498154
52.21363384
51.68117056
52.84278251
47.35843549
52.08126023
48.15449345
53.69581454
49.72700013
51.97456542
51.59718351
51.27615603
54.54400005
53.8867512
53.18426631
51.99829126
50.92564784
41.88012218
50.64504154
49.49146923
44.96782188
50.02440722
48.51878486
53.06757484
50.53932292
52.15672462
56.27577841
47.42272199
46.9650195
47.998709
49.43286861
49.39852524
44.07858893
50.02428734
46.64439164
52.98514235
52.82594251
47.94777149
53.4849667
46.34804103
50.86255514
52.80322306
51.50909634
44.19657833
48.95332571
48.57779668
48.47458118
53.56197684
50.81366285
48.47173237
49.04739478
54.50450312
53.01786609
46.47881669
41.48026304
50.73821365
54.0230482
52.94454232
49.02285922
49.43571513
46.09724696
45.42633079
54.38956149
49.8565654
49.54629179
43.55267306

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-7.402650	FISHER 4th Cent. Mom.	249.692594
FISHER beta 1	0.062598	FISHER beta 2	2.728526
FISHER gamma 1	-0.250195	FISHER gamma 2	-0.271474
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-1.118907	FISHER Test 2	-0.607034
FISHER Test 1 Probability	0.262800	FISHER Test 2 Probability	0.541800
Pearson 2	0.025968
Yule using Quartile definition:Weighted Average at Xnp	0.033344
Yule using Quartile definition:Weighted Average at X(n+1)p	0.045102
Yule using Quartile definition:Empirical Distribution Function	0.033344
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.045407
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.045717
Yule using Quartile definition:Closest Observation	0.033344
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.045717
Yule using Quartile definition:MS Excel (old versions)	0.044800
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.253373	Kurtosis (small sample)	-0.231418
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-1.147117	TEST 1 (small sample)	-0.527953
TEST 1 Prob. (small sample)	0.250200	TEST 1 Prob. (small sample)	0.596200
Observations	120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-7.402650 & FISHER 4th Cent. Mom.

249.692594 \tabularnewline FISHER beta 1

0.062598 & FISHER beta 2

2.728526 \tabularnewline FISHER gamma 1

-0.250195 & FISHER gamma 2

-0.271474 \tabularnewline FISHER gamma 1 (S.E.)

0.223607 & FISHER gamma 2 (S.E.)

0.447214 \tabularnewline FISHER Test 1

-1.118907 & FISHER Test 2

-0.607034 \tabularnewline FISHER Test 1 Probability

0.262800 & FISHER Test 2 Probability

0.541800 \tabularnewline Pearson 2

0.025968 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

0.033344 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.045102 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.033344 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.045407 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.045717 & & \tabularnewline Yule using Quartile definition:Closest Observation

0.033344 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.045717 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.044800 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.253373 & Kurtosis (small sample)

-0.231418 \tabularnewline Skewness S.E. (small sample)

0.220879 & Kurtosis S.E. (small sample)

0.438331 \tabularnewline TEST 1 (small sample)

-1.147117 & TEST 1 (small sample)

-0.527953 \tabularnewline TEST 1 Prob. (small sample)

0.250200 & TEST 1 Prob. (small sample)

0.596200 \tabularnewline Observations

120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103549&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]

-7.402650[/C][C]FISHER 4th Cent. Mom.[/C]

249.692594[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.062598[/C][C]FISHER beta 2[/C]

2.728526[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.250195[/C][C]FISHER gamma 2[/C]

-0.271474[/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]

-1.118907[/C][C]FISHER Test 2[/C]

-0.607034[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.262800[/C][C]FISHER Test 2 Probability[/C]

0.541800[/C][/ROW] [ROW][C]Pearson 2[/C]

0.025968[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

0.033344[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.045102[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.033344[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.045407[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.045717[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

0.033344[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.045717[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.044800[/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]

-0.253373[/C][C]Kurtosis (small sample)[/C]

-0.231418[/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]

-1.147117[/C][C]TEST 1 (small sample)[/C]

-0.527953[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.250200[/C][C]TEST 1 Prob. (small sample)[/C]

0.596200[/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=103549&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103549&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.	-7.402650	FISHER 4th Cent. Mom.	249.692594
FISHER beta 1	0.062598	FISHER beta 2	2.728526
FISHER gamma 1	-0.250195	FISHER gamma 2	-0.271474
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-1.118907	FISHER Test 2	-0.607034
FISHER Test 1 Probability	0.262800	FISHER Test 2 Probability	0.541800
Pearson 2	0.025968
Yule using Quartile definition:Weighted Average at Xnp	0.033344
Yule using Quartile definition:Weighted Average at X(n+1)p	0.045102
Yule using Quartile definition:Empirical Distribution Function	0.033344
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.045407
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.045717
Yule using Quartile definition:Closest Observation	0.033344
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.045717
Yule using Quartile definition:MS Excel (old versions)	0.044800
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.253373	Kurtosis (small sample)	-0.231418
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-1.147117	TEST 1 (small sample)	-0.527953
TEST 1 Prob. (small sample)	0.250200	TEST 1 Prob. (small sample)	0.596200
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)	-0.253400	0.250200	Trim. Kurtosis (0/120)	-0.231400	0.596200
Trim. Skewness (1/120)	-0.249800	0.258400	Trim. Kurtosis (1/120)	-0.397100	0.368200
Trim. Skewness (2/120)	-0.243700	0.275800	Trim. Kurtosis (2/120)	-0.588200	0.183600
Trim. Skewness (3/120)	-0.228800	0.307800	Trim. Kurtosis (3/120)	-0.651900	0.144200
Trim. Skewness (4/120)	-0.219400	0.332000	Trim. Kurtosis (4/120)	-0.667500	0.138800
Trim. Skewness (5/120)	-0.206400	0.368200	Trim. Kurtosis (5/120)	-0.701800	0.123600
Trim. Skewness (6/120)	-0.204400	0.378800	Trim. Kurtosis (6/120)	-0.715700	0.118800
Trim. Skewness (7/120)	-0.189800	0.418000	Trim. Kurtosis (7/120)	-0.737200	0.111800
Trim. Skewness (8/120)	-0.172400	0.465400	Trim. Kurtosis (8/120)	-0.774000	0.099000
Trim. Skewness (9/120)	-0.169500	0.477600	Trim. Kurtosis (9/120)	-0.778000	0.099000
Trim. Skewness (10/120)	-0.162700	0.496400	Trim. Kurtosis (10/120)	-0.780800	0.101000
Trim. Skewness (11/120)	-0.150500	0.535200	Trim. Kurtosis (11/120)	-0.790000	0.101000
Trim. Skewness (12/120)	-0.131800	0.589200	Trim. Kurtosis (12/120)	-0.815800	0.093000
Trim. Skewness (13/120)	-0.105400	0.667200	Trim. Kurtosis (13/120)	-0.841900	0.087200
Trim. Skewness (14/120)	-0.086200	0.726400	Trim. Kurtosis (14/120)	-0.853400	0.085400
Trim. Skewness (15/120)	-0.060700	0.810400	Trim. Kurtosis (15/120)	-0.872000	0.081800
Trim. Skewness (16/120)	-0.036500	0.880800	Trim. Kurtosis (16/120)	-0.890700	0.078400
Trim. Skewness (17/120)	-0.030100	0.904400	Trim. Kurtosis (17/120)	-0.887200	0.083600
Trim. Skewness (18/120)	-0.020900	0.936200	Trim. Kurtosis (18/120)	-0.897300	0.083600
Trim. Skewness (19/120)	-0.021300	0.928200	Trim. Kurtosis (19/120)	-0.902300	0.085400
Trim. Skewness (20/120)	-0.019700	0.936200	Trim. Kurtosis (20/120)	-0.912500	0.085400
Trim. Skewness (21/120)	-0.020500	0.936200	Trim. Kurtosis (21/120)	-0.942200	0.078400
Trim. Skewness (22/120)	-0.032900	0.904400	Trim. Kurtosis (22/120)	-0.985800	0.070200
Trim. Skewness (23/120)	-0.034700	0.896600	Trim. Kurtosis (23/120)	-1.035400	0.060200
Trim. Skewness (24/120)	-0.027100	0.920400	Trim. Kurtosis (24/120)	-1.036800	0.062800
Trim. Skewness (25/120)	-0.013200	0.960200	Trim. Kurtosis (25/120)	-1.052900	0.062800
Trim. Skewness (26/120)	0.012500	0.960200	Trim. Kurtosis (26/120)	-1.093300	0.056200
Trim. Skewness (27/120)	0.030100	0.912400	Trim. Kurtosis (27/120)	-1.119200	0.053600
Trim. Skewness (28/120)	0.036900	0.896600	Trim. Kurtosis (28/120)	-1.144500	0.052400
Trim. Skewness (29/120)	0.052900	0.857200	Trim. Kurtosis (29/120)	-1.171000	0.050000
Trim. Skewness (30/120)	0.078200	0.794800	Trim. Kurtosis (30/120)	-1.191200	0.050000
Trim. Skewness (31/120)	0.110900	0.718800	Trim. Kurtosis (31/120)	-1.227800	0.046600
Trim. Skewness (32/120)	0.106600	0.733800	Trim. Kurtosis (32/120)	-1.226500	0.050000
Trim. Skewness (33/120)	0.100200	0.756600	Trim. Kurtosis (33/120)	-1.241500	0.051200
Trim. Skewness (34/120)	0.097100	0.764200	Trim. Kurtosis (34/120)	-1.261000	0.052400
Trim. Skewness (35/120)	0.098700	0.764200	Trim. Kurtosis (35/120)	-1.260600	0.056200
Trim. Skewness (36/120)	0.099300	0.771800	Trim. Kurtosis (36/120)	-1.265000	0.060200
Trim. Skewness (37/120)	0.103200	0.764200	Trim. Kurtosis (37/120)	-1.291000	0.060200
Trim. Skewness (38/120)	0.123100	0.726400	Trim. Kurtosis (38/120)	-1.304700	0.062800
Trim. Skewness (39/120)	0.111600	0.756600	Trim. Kurtosis (39/120)	-1.294300	0.070200
Trim. Skewness (40/120)	0.119700	0.741400	Trim. Kurtosis (40/120)	-1.249700	0.087200

\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)

-0.253400

0.250200 & Trim. Kurtosis (0/120)

-0.231400

0.596200 \tabularnewline Trim. Skewness (1/120)

-0.249800

0.258400 & Trim. Kurtosis (1/120)

-0.397100

0.368200 \tabularnewline Trim. Skewness (2/120)

-0.243700

0.275800 & Trim. Kurtosis (2/120)

-0.588200

0.183600 \tabularnewline Trim. Skewness (3/120)

-0.228800

0.307800 & Trim. Kurtosis (3/120)

-0.651900

0.144200 \tabularnewline Trim. Skewness (4/120)

-0.219400

0.332000 & Trim. Kurtosis (4/120)

-0.667500

0.138800 \tabularnewline Trim. Skewness (5/120)

-0.206400

0.368200 & Trim. Kurtosis (5/120)

-0.701800

0.123600 \tabularnewline Trim. Skewness (6/120)

-0.204400

0.378800 & Trim. Kurtosis (6/120)

-0.715700

0.118800 \tabularnewline Trim. Skewness (7/120)

-0.189800

0.418000 & Trim. Kurtosis (7/120)

-0.737200

0.111800 \tabularnewline Trim. Skewness (8/120)

-0.172400

0.465400 & Trim. Kurtosis (8/120)

-0.774000

0.099000 \tabularnewline Trim. Skewness (9/120)

-0.169500

0.477600 & Trim. Kurtosis (9/120)

-0.778000

0.099000 \tabularnewline Trim. Skewness (10/120)

-0.162700

0.496400 & Trim. Kurtosis (10/120)

-0.780800

0.101000 \tabularnewline Trim. Skewness (11/120)

-0.150500

0.535200 & Trim. Kurtosis (11/120)

-0.790000

0.101000 \tabularnewline Trim. Skewness (12/120)

-0.131800

0.589200 & Trim. Kurtosis (12/120)

-0.815800

0.093000 \tabularnewline Trim. Skewness (13/120)

-0.105400

0.667200 & Trim. Kurtosis (13/120)

-0.841900

0.087200 \tabularnewline Trim. Skewness (14/120)

-0.086200

0.726400 & Trim. Kurtosis (14/120)

-0.853400

0.085400 \tabularnewline Trim. Skewness (15/120)

-0.060700

0.810400 & Trim. Kurtosis (15/120)

-0.872000

0.081800 \tabularnewline Trim. Skewness (16/120)

-0.036500

0.880800 & Trim. Kurtosis (16/120)

-0.890700

0.078400 \tabularnewline Trim. Skewness (17/120)

-0.030100

0.904400 & Trim. Kurtosis (17/120)

-0.887200

0.083600 \tabularnewline Trim. Skewness (18/120)

-0.020900

0.936200 & Trim. Kurtosis (18/120)

-0.897300

0.083600 \tabularnewline Trim. Skewness (19/120)

-0.021300

0.928200 & Trim. Kurtosis (19/120)

-0.902300

0.085400 \tabularnewline Trim. Skewness (20/120)

-0.019700

0.936200 & Trim. Kurtosis (20/120)

-0.912500

0.085400 \tabularnewline Trim. Skewness (21/120)

-0.020500

0.936200 & Trim. Kurtosis (21/120)

-0.942200

0.078400 \tabularnewline Trim. Skewness (22/120)

-0.032900

0.904400 & Trim. Kurtosis (22/120)

-0.985800

0.070200 \tabularnewline Trim. Skewness (23/120)

-0.034700

0.896600 & Trim. Kurtosis (23/120)

-1.035400

0.060200 \tabularnewline Trim. Skewness (24/120)

-0.027100

0.920400 & Trim. Kurtosis (24/120)

-1.036800

0.062800 \tabularnewline Trim. Skewness (25/120)

-0.013200

0.960200 & Trim. Kurtosis (25/120)

-1.052900

0.062800 \tabularnewline Trim. Skewness (26/120)

0.012500

0.960200 & Trim. Kurtosis (26/120)

-1.093300

0.056200 \tabularnewline Trim. Skewness (27/120)

0.030100

0.912400 & Trim. Kurtosis (27/120)

-1.119200

0.053600 \tabularnewline Trim. Skewness (28/120)

0.036900

0.896600 & Trim. Kurtosis (28/120)

-1.144500

0.052400 \tabularnewline Trim. Skewness (29/120)

0.052900

0.857200 & Trim. Kurtosis (29/120)

-1.171000

0.050000 \tabularnewline Trim. Skewness (30/120)

0.078200

0.794800 & Trim. Kurtosis (30/120)

-1.191200

0.050000 \tabularnewline Trim. Skewness (31/120)

0.110900

0.718800 & Trim. Kurtosis (31/120)

-1.227800

0.046600 \tabularnewline Trim. Skewness (32/120)

0.106600

0.733800 & Trim. Kurtosis (32/120)

-1.226500

0.050000 \tabularnewline Trim. Skewness (33/120)

0.100200

0.756600 & Trim. Kurtosis (33/120)

-1.241500

0.051200 \tabularnewline Trim. Skewness (34/120)

0.097100

0.764200 & Trim. Kurtosis (34/120)

-1.261000

0.052400 \tabularnewline Trim. Skewness (35/120)

0.098700

0.764200 & Trim. Kurtosis (35/120)

-1.260600

0.056200 \tabularnewline Trim. Skewness (36/120)

0.099300

0.771800 & Trim. Kurtosis (36/120)

-1.265000

0.060200 \tabularnewline Trim. Skewness (37/120)

0.103200

0.764200 & Trim. Kurtosis (37/120)

-1.291000

0.060200 \tabularnewline Trim. Skewness (38/120)

0.123100

0.726400 & Trim. Kurtosis (38/120)

-1.304700

0.062800 \tabularnewline Trim. Skewness (39/120)

0.111600

0.756600 & Trim. Kurtosis (39/120)

-1.294300

0.070200 \tabularnewline Trim. Skewness (40/120)

0.119700

0.741400 & Trim. Kurtosis (40/120)

-1.249700

0.087200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103549&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]

-0.253400[/C]

0.250200[/C][C]Trim. Kurtosis (0/120)[/C]

-0.231400[/C]

0.596200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]

-0.249800[/C]

0.258400[/C][C]Trim. Kurtosis (1/120)[/C]

-0.397100[/C]

0.368200[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]

-0.243700[/C]

0.275800[/C][C]Trim. Kurtosis (2/120)[/C]

-0.588200[/C]

0.183600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]

-0.228800[/C]

0.307800[/C][C]Trim. Kurtosis (3/120)[/C]

-0.651900[/C]

0.144200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]

-0.219400[/C]

0.332000[/C][C]Trim. Kurtosis (4/120)[/C]

-0.667500[/C]

0.138800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]

-0.206400[/C]

0.368200[/C][C]Trim. Kurtosis (5/120)[/C]

-0.701800[/C]

0.123600[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]

-0.204400[/C]

0.378800[/C][C]Trim. Kurtosis (6/120)[/C]

-0.715700[/C]

0.118800[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]

-0.189800[/C]

0.418000[/C][C]Trim. Kurtosis (7/120)[/C]

-0.737200[/C]

0.111800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]

-0.172400[/C]

0.465400[/C][C]Trim. Kurtosis (8/120)[/C]

-0.774000[/C]

0.099000[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]

-0.169500[/C]

0.477600[/C][C]Trim. Kurtosis (9/120)[/C]

-0.778000[/C]

0.099000[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]

-0.162700[/C]

0.496400[/C][C]Trim. Kurtosis (10/120)[/C]

-0.780800[/C]

0.101000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]

-0.150500[/C]

0.535200[/C][C]Trim. Kurtosis (11/120)[/C]

-0.790000[/C]

0.101000[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]

-0.131800[/C]

0.589200[/C][C]Trim. Kurtosis (12/120)[/C]

-0.815800[/C]

0.093000[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]

-0.105400[/C]

0.667200[/C][C]Trim. Kurtosis (13/120)[/C]

-0.841900[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]

-0.086200[/C]

0.726400[/C][C]Trim. Kurtosis (14/120)[/C]

-0.853400[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]

-0.060700[/C]

0.810400[/C][C]Trim. Kurtosis (15/120)[/C]

-0.872000[/C]

0.081800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]

-0.036500[/C]

0.880800[/C][C]Trim. Kurtosis (16/120)[/C]

-0.890700[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]

-0.030100[/C]

0.904400[/C][C]Trim. Kurtosis (17/120)[/C]

-0.887200[/C]

0.083600[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]

-0.020900[/C]

0.936200[/C][C]Trim. Kurtosis (18/120)[/C]

-0.897300[/C]

0.083600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]

-0.021300[/C]

0.928200[/C][C]Trim. Kurtosis (19/120)[/C]

-0.902300[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]

-0.019700[/C]

0.936200[/C][C]Trim. Kurtosis (20/120)[/C]

-0.912500[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]

-0.020500[/C]

0.936200[/C][C]Trim. Kurtosis (21/120)[/C]

-0.942200[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]

-0.032900[/C]

0.904400[/C][C]Trim. Kurtosis (22/120)[/C]

-0.985800[/C]

0.070200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]

-0.034700[/C]

0.896600[/C][C]Trim. Kurtosis (23/120)[/C]

-1.035400[/C]

0.060200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]

-0.027100[/C]

0.920400[/C][C]Trim. Kurtosis (24/120)[/C]

-1.036800[/C]

0.062800[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]

-0.013200[/C]

0.960200[/C][C]Trim. Kurtosis (25/120)[/C]

-1.052900[/C]

0.062800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]

0.012500[/C]

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

-1.093300[/C]

0.056200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]

0.030100[/C]

0.912400[/C][C]Trim. Kurtosis (27/120)[/C]

-1.119200[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]

0.036900[/C]

0.896600[/C][C]Trim. Kurtosis (28/120)[/C]

-1.144500[/C]

0.052400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]

0.052900[/C]

0.857200[/C][C]Trim. Kurtosis (29/120)[/C]

-1.171000[/C]

0.050000[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]

0.078200[/C]

0.794800[/C][C]Trim. Kurtosis (30/120)[/C]

-1.191200[/C]

0.050000[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]

0.110900[/C]

0.718800[/C][C]Trim. Kurtosis (31/120)[/C]

-1.227800[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]

0.106600[/C]

0.733800[/C][C]Trim. Kurtosis (32/120)[/C]

-1.226500[/C]

0.050000[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]

0.100200[/C]

0.756600[/C][C]Trim. Kurtosis (33/120)[/C]

-1.241500[/C]

0.051200[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]

0.097100[/C]

0.764200[/C][C]Trim. Kurtosis (34/120)[/C]

-1.261000[/C]

0.052400[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]

0.098700[/C]

0.764200[/C][C]Trim. Kurtosis (35/120)[/C]

-1.260600[/C]

0.056200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]

0.099300[/C]

0.771800[/C][C]Trim. Kurtosis (36/120)[/C]

-1.265000[/C]

0.060200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]

0.103200[/C]

0.764200[/C][C]Trim. Kurtosis (37/120)[/C]

-1.291000[/C]

0.060200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]

0.123100[/C]

0.726400[/C][C]Trim. Kurtosis (38/120)[/C]

-1.304700[/C]

0.062800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]

0.111600[/C]

0.756600[/C][C]Trim. Kurtosis (39/120)[/C]

-1.294300[/C]

0.070200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]

0.119700[/C]

0.741400[/C][C]Trim. Kurtosis (40/120)[/C]

-1.249700[/C]

0.087200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103549&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103549&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)	-0.253400	0.250200	Trim. Kurtosis (0/120)	-0.231400	0.596200
Trim. Skewness (1/120)	-0.249800	0.258400	Trim. Kurtosis (1/120)	-0.397100	0.368200
Trim. Skewness (2/120)	-0.243700	0.275800	Trim. Kurtosis (2/120)	-0.588200	0.183600
Trim. Skewness (3/120)	-0.228800	0.307800	Trim. Kurtosis (3/120)	-0.651900	0.144200
Trim. Skewness (4/120)	-0.219400	0.332000	Trim. Kurtosis (4/120)	-0.667500	0.138800
Trim. Skewness (5/120)	-0.206400	0.368200	Trim. Kurtosis (5/120)	-0.701800	0.123600
Trim. Skewness (6/120)	-0.204400	0.378800	Trim. Kurtosis (6/120)	-0.715700	0.118800
Trim. Skewness (7/120)	-0.189800	0.418000	Trim. Kurtosis (7/120)	-0.737200	0.111800
Trim. Skewness (8/120)	-0.172400	0.465400	Trim. Kurtosis (8/120)	-0.774000	0.099000
Trim. Skewness (9/120)	-0.169500	0.477600	Trim. Kurtosis (9/120)	-0.778000	0.099000
Trim. Skewness (10/120)	-0.162700	0.496400	Trim. Kurtosis (10/120)	-0.780800	0.101000
Trim. Skewness (11/120)	-0.150500	0.535200	Trim. Kurtosis (11/120)	-0.790000	0.101000
Trim. Skewness (12/120)	-0.131800	0.589200	Trim. Kurtosis (12/120)	-0.815800	0.093000
Trim. Skewness (13/120)	-0.105400	0.667200	Trim. Kurtosis (13/120)	-0.841900	0.087200
Trim. Skewness (14/120)	-0.086200	0.726400	Trim. Kurtosis (14/120)	-0.853400	0.085400
Trim. Skewness (15/120)	-0.060700	0.810400	Trim. Kurtosis (15/120)	-0.872000	0.081800
Trim. Skewness (16/120)	-0.036500	0.880800	Trim. Kurtosis (16/120)	-0.890700	0.078400
Trim. Skewness (17/120)	-0.030100	0.904400	Trim. Kurtosis (17/120)	-0.887200	0.083600
Trim. Skewness (18/120)	-0.020900	0.936200	Trim. Kurtosis (18/120)	-0.897300	0.083600
Trim. Skewness (19/120)	-0.021300	0.928200	Trim. Kurtosis (19/120)	-0.902300	0.085400
Trim. Skewness (20/120)	-0.019700	0.936200	Trim. Kurtosis (20/120)	-0.912500	0.085400
Trim. Skewness (21/120)	-0.020500	0.936200	Trim. Kurtosis (21/120)	-0.942200	0.078400
Trim. Skewness (22/120)	-0.032900	0.904400	Trim. Kurtosis (22/120)	-0.985800	0.070200
Trim. Skewness (23/120)	-0.034700	0.896600	Trim. Kurtosis (23/120)	-1.035400	0.060200
Trim. Skewness (24/120)	-0.027100	0.920400	Trim. Kurtosis (24/120)	-1.036800	0.062800
Trim. Skewness (25/120)	-0.013200	0.960200	Trim. Kurtosis (25/120)	-1.052900	0.062800
Trim. Skewness (26/120)	0.012500	0.960200	Trim. Kurtosis (26/120)	-1.093300	0.056200
Trim. Skewness (27/120)	0.030100	0.912400	Trim. Kurtosis (27/120)	-1.119200	0.053600
Trim. Skewness (28/120)	0.036900	0.896600	Trim. Kurtosis (28/120)	-1.144500	0.052400
Trim. Skewness (29/120)	0.052900	0.857200	Trim. Kurtosis (29/120)	-1.171000	0.050000
Trim. Skewness (30/120)	0.078200	0.794800	Trim. Kurtosis (30/120)	-1.191200	0.050000
Trim. Skewness (31/120)	0.110900	0.718800	Trim. Kurtosis (31/120)	-1.227800	0.046600
Trim. Skewness (32/120)	0.106600	0.733800	Trim. Kurtosis (32/120)	-1.226500	0.050000
Trim. Skewness (33/120)	0.100200	0.756600	Trim. Kurtosis (33/120)	-1.241500	0.051200
Trim. Skewness (34/120)	0.097100	0.764200	Trim. Kurtosis (34/120)	-1.261000	0.052400
Trim. Skewness (35/120)	0.098700	0.764200	Trim. Kurtosis (35/120)	-1.260600	0.056200
Trim. Skewness (36/120)	0.099300	0.771800	Trim. Kurtosis (36/120)	-1.265000	0.060200
Trim. Skewness (37/120)	0.103200	0.764200	Trim. Kurtosis (37/120)	-1.291000	0.060200
Trim. Skewness (38/120)	0.123100	0.726400	Trim. Kurtosis (38/120)	-1.304700	0.062800
Trim. Skewness (39/120)	0.111600	0.756600	Trim. Kurtosis (39/120)	-1.294300	0.070200
Trim. Skewness (40/120)	0.119700	0.741400	Trim. Kurtosis (40/120)	-1.249700	0.087200

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