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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 14:48:20 +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/t12911283850t4r4jhftsjyva8.htm/, Retrieved Mon, 29 Apr 2024 15:57:38 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103554, Retrieved Mon, 29 Apr 2024 15:57:38 +0000

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114

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-       [Skewness and Kurtosis] [] [2010-11-30 14:48:20] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]

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52.5978412
49.20854629
48.76578401
45.09739025
48.22739229
49.20097619
54.95697273
48.65157649
51.98360454
51.5353562
49.14429743
49.84652955
53.60003445
45.47670853
50.96021639
46.20743813
48.77859395
47.99085402
49.87958992
49.34820941
53.77077036
48.61875502
54.04739777
53.37291909
52.46238235
52.67237751
56.93075099
51.31996473
51.28894392
48.92039106
48.25877802
48.67451836
49.96821704
50.33125162
49.65543505
44.33389599
51.00957309
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48.26847004
53.36817472
50.56840472
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50.02345927
52.52930411
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50.35365322
45.88039642
52.06241615
53.27964153
47.93909955
48.536319
42.27321534
51.56408271
51.20742591
49.20423635
53.79479458
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50.60438033
51.53307165
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51.224414
49.60721961
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44.05192899
50.78048938
48.62343221
50.81237453
48.05220936
52.45051044
45.08347257
47.8735235

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-2.859134	FISHER 4th Cent. Mom.	251.507355
FISHER beta 1	0.010765	FISHER beta 2	3.021611
FISHER gamma 1	-0.103753	FISHER gamma 2	0.021611
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.463997	FISHER Test 2	0.048324
FISHER Test 1 Probability	0.638400	FISHER Test 2 Probability	0.960200
Pearson 2	0.148201
Yule using Quartile definition:Weighted Average at Xnp	0.134267
Yule using Quartile definition:Weighted Average at X(n+1)p	0.148793
Yule using Quartile definition:Empirical Distribution Function	0.134267
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.149602
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.150425
Yule using Quartile definition:Closest Observation	0.134267
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.150425
Yule using Quartile definition:MS Excel (old versions)	0.147996
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.105071	Kurtosis (small sample)	0.074256
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.475696	TEST 1 (small sample)	0.169407
TEST 1 Prob. (small sample)	0.631200	TEST 1 Prob. (small sample)	0.865000
Observations	120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-2.859134 & FISHER 4th Cent. Mom.

251.507355 \tabularnewline FISHER beta 1

0.010765 & FISHER beta 2

3.021611 \tabularnewline FISHER gamma 1

-0.103753 & FISHER gamma 2

0.021611 \tabularnewline FISHER gamma 1 (S.E.)

0.223607 & FISHER gamma 2 (S.E.)

0.447214 \tabularnewline FISHER Test 1

-0.463997 & FISHER Test 2

0.048324 \tabularnewline FISHER Test 1 Probability

0.638400 & FISHER Test 2 Probability

0.960200 \tabularnewline Pearson 2

0.148201 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

0.134267 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.148793 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.134267 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.149602 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.150425 & & \tabularnewline Yule using Quartile definition:Closest Observation

0.134267 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.150425 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.147996 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.105071 & Kurtosis (small sample)

0.074256 \tabularnewline Skewness S.E. (small sample)

0.220879 & Kurtosis S.E. (small sample)

0.438331 \tabularnewline TEST 1 (small sample)

-0.475696 & TEST 1 (small sample)

0.169407 \tabularnewline TEST 1 Prob. (small sample)

0.631200 & TEST 1 Prob. (small sample)

0.865000 \tabularnewline Observations

120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103554&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]

-2.859134[/C][C]FISHER 4th Cent. Mom.[/C]

251.507355[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.010765[/C][C]FISHER beta 2[/C]

3.021611[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.103753[/C][C]FISHER gamma 2[/C]

0.021611[/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]

-0.463997[/C][C]FISHER Test 2[/C]

0.048324[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.638400[/C][C]FISHER Test 2 Probability[/C]

0.960200[/C][/ROW] [ROW][C]Pearson 2[/C]

0.148201[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

0.134267[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.148793[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.134267[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.149602[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.150425[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

0.134267[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.150425[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.147996[/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]

-0.105071[/C][C]Kurtosis (small sample)[/C]

0.074256[/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]

-0.475696[/C][C]TEST 1 (small sample)[/C]

0.169407[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.631200[/C][C]TEST 1 Prob. (small sample)[/C]

0.865000[/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=103554&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103554&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.	-2.859134	FISHER 4th Cent. Mom.	251.507355
FISHER beta 1	0.010765	FISHER beta 2	3.021611
FISHER gamma 1	-0.103753	FISHER gamma 2	0.021611
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.463997	FISHER Test 2	0.048324
FISHER Test 1 Probability	0.638400	FISHER Test 2 Probability	0.960200
Pearson 2	0.148201
Yule using Quartile definition:Weighted Average at Xnp	0.134267
Yule using Quartile definition:Weighted Average at X(n+1)p	0.148793
Yule using Quartile definition:Empirical Distribution Function	0.134267
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.149602
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.150425
Yule using Quartile definition:Closest Observation	0.134267
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.150425
Yule using Quartile definition:MS Excel (old versions)	0.147996
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.105071	Kurtosis (small sample)	0.074256
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.475696	TEST 1 (small sample)	0.169407
TEST 1 Prob. (small sample)	0.631200	TEST 1 Prob. (small sample)	0.865000
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)	-0.105100	0.631200	Trim. Kurtosis (0/120)	0.074300	0.865000
Trim. Skewness (1/120)	-0.059800	0.787200	Trim. Kurtosis (1/120)	-0.116300	0.787200
Trim. Skewness (2/120)	-0.004100	0.984000	Trim. Kurtosis (2/120)	-0.356600	0.418000
Trim. Skewness (3/120)	-0.030400	0.888600	Trim. Kurtosis (3/120)	-0.464200	0.298400
Trim. Skewness (4/120)	-0.030600	0.888600	Trim. Kurtosis (4/120)	-0.549100	0.222400
Trim. Skewness (5/120)	-0.002600	0.984000	Trim. Kurtosis (5/120)	-0.611900	0.180200
Trim. Skewness (6/120)	0.001100	0.992000	Trim. Kurtosis (6/120)	-0.631900	0.167600
Trim. Skewness (7/120)	0.014900	0.944200	Trim. Kurtosis (7/120)	-0.664600	0.152800
Trim. Skewness (8/120)	0.016900	0.936200	Trim. Kurtosis (8/120)	-0.688900	0.141600
Trim. Skewness (9/120)	0.014100	0.952200	Trim. Kurtosis (9/120)	-0.728500	0.123600
Trim. Skewness (10/120)	0.007700	0.968000	Trim. Kurtosis (10/120)	-0.776900	0.103200
Trim. Skewness (11/120)	0.020100	0.928200	Trim. Kurtosis (11/120)	-0.810900	0.093000
Trim. Skewness (12/120)	0.041100	0.865000	Trim. Kurtosis (12/120)	-0.864200	0.075000
Trim. Skewness (13/120)	0.060700	0.802600	Trim. Kurtosis (13/120)	-0.931700	0.057400
Trim. Skewness (14/120)	0.092000	0.711400	Trim. Kurtosis (14/120)	-1.005200	0.043400
Trim. Skewness (15/120)	0.089100	0.718800	Trim. Kurtosis (15/120)	-1.039300	0.038400
Trim. Skewness (16/120)	0.090600	0.718800	Trim. Kurtosis (16/120)	-1.074700	0.034000
Trim. Skewness (17/120)	0.104000	0.681800	Trim. Kurtosis (17/120)	-1.110800	0.030000
Trim. Skewness (18/120)	0.104400	0.689200	Trim. Kurtosis (18/120)	-1.148900	0.026400
Trim. Skewness (19/120)	0.103200	0.696600	Trim. Kurtosis (19/120)	-1.194800	0.022600
Trim. Skewness (20/120)	0.121300	0.645600	Trim. Kurtosis (20/120)	-1.233100	0.020400
Trim. Skewness (21/120)	0.127800	0.638400	Trim. Kurtosis (21/120)	-1.243700	0.020400
Trim. Skewness (22/120)	0.130800	0.631200	Trim. Kurtosis (22/120)	-1.235200	0.023200
Trim. Skewness (23/120)	0.134200	0.624200	Trim. Kurtosis (23/120)	-1.223100	0.026400
Trim. Skewness (24/120)	0.137200	0.624200	Trim. Kurtosis (24/120)	-1.216200	0.029200
Trim. Skewness (25/120)	0.138100	0.624200	Trim. Kurtosis (25/120)	-1.215200	0.031600
Trim. Skewness (26/120)	0.137300	0.631200	Trim. Kurtosis (26/120)	-1.216300	0.034000
Trim. Skewness (27/120)	0.128300	0.660000	Trim. Kurtosis (27/120)	-1.209900	0.037600
Trim. Skewness (28/120)	0.114500	0.696600	Trim. Kurtosis (28/120)	-1.213700	0.039400
Trim. Skewness (29/120)	0.102500	0.733800	Trim. Kurtosis (29/120)	-1.218900	0.041400
Trim. Skewness (30/120)	0.086200	0.779400	Trim. Kurtosis (30/120)	-1.241500	0.040400
Trim. Skewness (31/120)	0.064600	0.833600	Trim. Kurtosis (31/120)	-1.274600	0.038400
Trim. Skewness (32/120)	0.052500	0.865000	Trim. Kurtosis (32/120)	-1.286400	0.040400
Trim. Skewness (33/120)	0.025800	0.936200	Trim. Kurtosis (33/120)	-1.307400	0.040400
Trim. Skewness (34/120)	-0.000900	0.992000	Trim. Kurtosis (34/120)	-1.338900	0.039400
Trim. Skewness (35/120)	0.008000	0.976000	Trim. Kurtosis (35/120)	-1.322300	0.045600
Trim. Skewness (36/120)	0.015300	0.960200	Trim. Kurtosis (36/120)	-1.295600	0.053600
Trim. Skewness (37/120)	0.025900	0.936200	Trim. Kurtosis (37/120)	-1.274400	0.062800
Trim. Skewness (38/120)	0.037100	0.912400	Trim. Kurtosis (38/120)	-1.260800	0.071800
Trim. Skewness (39/120)	0.052700	0.880800	Trim. Kurtosis (39/120)	-1.260700	0.078400
Trim. Skewness (40/120)	0.055600	0.880800	Trim. Kurtosis (40/120)	-1.270100	0.081800

\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)

-0.105100

0.631200 & Trim. Kurtosis (0/120)

0.074300

0.865000 \tabularnewline Trim. Skewness (1/120)

-0.059800

0.787200 & Trim. Kurtosis (1/120)

-0.116300

0.787200 \tabularnewline Trim. Skewness (2/120)

-0.004100

0.984000 & Trim. Kurtosis (2/120)

-0.356600

0.418000 \tabularnewline Trim. Skewness (3/120)

-0.030400

0.888600 & Trim. Kurtosis (3/120)

-0.464200

0.298400 \tabularnewline Trim. Skewness (4/120)

-0.030600

0.888600 & Trim. Kurtosis (4/120)

-0.549100

0.222400 \tabularnewline Trim. Skewness (5/120)

-0.002600

0.984000 & Trim. Kurtosis (5/120)

-0.611900

0.180200 \tabularnewline Trim. Skewness (6/120)

0.001100

0.992000 & Trim. Kurtosis (6/120)

-0.631900

0.167600 \tabularnewline Trim. Skewness (7/120)

0.014900

0.944200 & Trim. Kurtosis (7/120)

-0.664600

0.152800 \tabularnewline Trim. Skewness (8/120)

0.016900

0.936200 & Trim. Kurtosis (8/120)

-0.688900

0.141600 \tabularnewline Trim. Skewness (9/120)

0.014100

0.952200 & Trim. Kurtosis (9/120)

-0.728500

0.123600 \tabularnewline Trim. Skewness (10/120)

0.007700

0.968000 & Trim. Kurtosis (10/120)

-0.776900

0.103200 \tabularnewline Trim. Skewness (11/120)

0.020100

0.928200 & Trim. Kurtosis (11/120)

-0.810900

0.093000 \tabularnewline Trim. Skewness (12/120)

0.041100

0.865000 & Trim. Kurtosis (12/120)

-0.864200

0.075000 \tabularnewline Trim. Skewness (13/120)

0.060700

0.802600 & Trim. Kurtosis (13/120)

-0.931700

0.057400 \tabularnewline Trim. Skewness (14/120)

0.092000

0.711400 & Trim. Kurtosis (14/120)

-1.005200

0.043400 \tabularnewline Trim. Skewness (15/120)

0.089100

0.718800 & Trim. Kurtosis (15/120)

-1.039300

0.038400 \tabularnewline Trim. Skewness (16/120)

0.090600

0.718800 & Trim. Kurtosis (16/120)

-1.074700

0.034000 \tabularnewline Trim. Skewness (17/120)

0.104000

0.681800 & Trim. Kurtosis (17/120)

-1.110800

0.030000 \tabularnewline Trim. Skewness (18/120)

0.104400

0.689200 & Trim. Kurtosis (18/120)

-1.148900

0.026400 \tabularnewline Trim. Skewness (19/120)

0.103200

0.696600 & Trim. Kurtosis (19/120)

-1.194800

0.022600 \tabularnewline Trim. Skewness (20/120)

0.121300

0.645600 & Trim. Kurtosis (20/120)

-1.233100

0.020400 \tabularnewline Trim. Skewness (21/120)

0.127800

0.638400 & Trim. Kurtosis (21/120)

-1.243700

0.020400 \tabularnewline Trim. Skewness (22/120)

0.130800

0.631200 & Trim. Kurtosis (22/120)

-1.235200

0.023200 \tabularnewline Trim. Skewness (23/120)

0.134200

0.624200 & Trim. Kurtosis (23/120)

-1.223100

0.026400 \tabularnewline Trim. Skewness (24/120)

0.137200

0.624200 & Trim. Kurtosis (24/120)

-1.216200

0.029200 \tabularnewline Trim. Skewness (25/120)

0.138100

0.624200 & Trim. Kurtosis (25/120)

-1.215200

0.031600 \tabularnewline Trim. Skewness (26/120)

0.137300

0.631200 & Trim. Kurtosis (26/120)

-1.216300

0.034000 \tabularnewline Trim. Skewness (27/120)

0.128300

0.660000 & Trim. Kurtosis (27/120)

-1.209900

0.037600 \tabularnewline Trim. Skewness (28/120)

0.114500

0.696600 & Trim. Kurtosis (28/120)

-1.213700

0.039400 \tabularnewline Trim. Skewness (29/120)

0.102500

0.733800 & Trim. Kurtosis (29/120)

-1.218900

0.041400 \tabularnewline Trim. Skewness (30/120)

0.086200

0.779400 & Trim. Kurtosis (30/120)

-1.241500

0.040400 \tabularnewline Trim. Skewness (31/120)

0.064600

0.833600 & Trim. Kurtosis (31/120)

-1.274600

0.038400 \tabularnewline Trim. Skewness (32/120)

0.052500

0.865000 & Trim. Kurtosis (32/120)

-1.286400

0.040400 \tabularnewline Trim. Skewness (33/120)

0.025800

0.936200 & Trim. Kurtosis (33/120)

-1.307400

0.040400 \tabularnewline Trim. Skewness (34/120)

-0.000900

0.992000 & Trim. Kurtosis (34/120)

-1.338900

0.039400 \tabularnewline Trim. Skewness (35/120)

0.008000

0.976000 & Trim. Kurtosis (35/120)

-1.322300

0.045600 \tabularnewline Trim. Skewness (36/120)

0.015300

0.960200 & Trim. Kurtosis (36/120)

-1.295600

0.053600 \tabularnewline Trim. Skewness (37/120)

0.025900

0.936200 & Trim. Kurtosis (37/120)

-1.274400

0.062800 \tabularnewline Trim. Skewness (38/120)

0.037100

0.912400 & Trim. Kurtosis (38/120)

-1.260800

0.071800 \tabularnewline Trim. Skewness (39/120)

0.052700

0.880800 & Trim. Kurtosis (39/120)

-1.260700

0.078400 \tabularnewline Trim. Skewness (40/120)

0.055600

0.880800 & Trim. Kurtosis (40/120)

-1.270100

0.081800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103554&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]

-0.105100[/C]

0.631200[/C][C]Trim. Kurtosis (0/120)[/C]

0.074300[/C]

0.865000[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]

-0.059800[/C]

0.787200[/C][C]Trim. Kurtosis (1/120)[/C]

-0.116300[/C]

0.787200[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]

-0.004100[/C]

0.984000[/C][C]Trim. Kurtosis (2/120)[/C]

-0.356600[/C]

0.418000[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]

-0.030400[/C]

0.888600[/C][C]Trim. Kurtosis (3/120)[/C]

-0.464200[/C]

0.298400[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]

-0.030600[/C]

0.888600[/C][C]Trim. Kurtosis (4/120)[/C]

-0.549100[/C]

0.222400[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]

-0.002600[/C]

0.984000[/C][C]Trim. Kurtosis (5/120)[/C]

-0.611900[/C]

0.180200[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]

0.001100[/C]

0.992000[/C][C]Trim. Kurtosis (6/120)[/C]

-0.631900[/C]

0.167600[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]

0.014900[/C]

0.944200[/C][C]Trim. Kurtosis (7/120)[/C]

-0.664600[/C]

0.152800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]

0.016900[/C]

0.936200[/C][C]Trim. Kurtosis (8/120)[/C]

-0.688900[/C]

0.141600[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]

0.014100[/C]

0.952200[/C][C]Trim. Kurtosis (9/120)[/C]

-0.728500[/C]

0.123600[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]

0.007700[/C]

0.968000[/C][C]Trim. Kurtosis (10/120)[/C]

-0.776900[/C]

0.103200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]

0.020100[/C]

0.928200[/C][C]Trim. Kurtosis (11/120)[/C]

-0.810900[/C]

0.093000[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]

0.041100[/C]

0.865000[/C][C]Trim. Kurtosis (12/120)[/C]

-0.864200[/C]

0.075000[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]

0.060700[/C]

0.802600[/C][C]Trim. Kurtosis (13/120)[/C]

-0.931700[/C]

0.057400[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]

0.092000[/C]

0.711400[/C][C]Trim. Kurtosis (14/120)[/C]

-1.005200[/C]

0.043400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]

0.089100[/C]

0.718800[/C][C]Trim. Kurtosis (15/120)[/C]

-1.039300[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]

0.090600[/C]

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

-1.074700[/C]

0.034000[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]

0.104000[/C]

0.681800[/C][C]Trim. Kurtosis (17/120)[/C]

-1.110800[/C]

0.030000[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]

0.104400[/C]

0.689200[/C][C]Trim. Kurtosis (18/120)[/C]

-1.148900[/C]

0.026400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]

0.103200[/C]

0.696600[/C][C]Trim. Kurtosis (19/120)[/C]

-1.194800[/C]

0.022600[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]

0.121300[/C]

0.645600[/C][C]Trim. Kurtosis (20/120)[/C]

-1.233100[/C]

0.020400[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]

0.127800[/C]

0.638400[/C][C]Trim. Kurtosis (21/120)[/C]

-1.243700[/C]

0.020400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]

0.130800[/C]

0.631200[/C][C]Trim. Kurtosis (22/120)[/C]

-1.235200[/C]

0.023200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]

0.134200[/C]

0.624200[/C][C]Trim. Kurtosis (23/120)[/C]

-1.223100[/C]

0.026400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]

0.137200[/C]

0.624200[/C][C]Trim. Kurtosis (24/120)[/C]

-1.216200[/C]

0.029200[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]

0.138100[/C]

0.624200[/C][C]Trim. Kurtosis (25/120)[/C]

-1.215200[/C]

0.031600[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]

0.137300[/C]

0.631200[/C][C]Trim. Kurtosis (26/120)[/C]

-1.216300[/C]

0.034000[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]

0.128300[/C]

0.660000[/C][C]Trim. Kurtosis (27/120)[/C]

-1.209900[/C]

0.037600[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]

0.114500[/C]

0.696600[/C][C]Trim. Kurtosis (28/120)[/C]

-1.213700[/C]

0.039400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]

0.102500[/C]

0.733800[/C][C]Trim. Kurtosis (29/120)[/C]

-1.218900[/C]

0.041400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]

0.086200[/C]

0.779400[/C][C]Trim. Kurtosis (30/120)[/C]

-1.241500[/C]

0.040400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]

0.064600[/C]

0.833600[/C][C]Trim. Kurtosis (31/120)[/C]

-1.274600[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]

0.052500[/C]

0.865000[/C][C]Trim. Kurtosis (32/120)[/C]

-1.286400[/C]

0.040400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]

0.025800[/C]

0.936200[/C][C]Trim. Kurtosis (33/120)[/C]

-1.307400[/C]

0.040400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]

-0.000900[/C]

0.992000[/C][C]Trim. Kurtosis (34/120)[/C]

-1.338900[/C]

0.039400[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]

0.008000[/C]

0.976000[/C][C]Trim. Kurtosis (35/120)[/C]

-1.322300[/C]

0.045600[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]

0.015300[/C]

0.960200[/C][C]Trim. Kurtosis (36/120)[/C]

-1.295600[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]

0.025900[/C]

0.936200[/C][C]Trim. Kurtosis (37/120)[/C]

-1.274400[/C]

0.062800[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]

0.037100[/C]

0.912400[/C][C]Trim. Kurtosis (38/120)[/C]

-1.260800[/C]

0.071800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]

0.052700[/C]

0.880800[/C][C]Trim. Kurtosis (39/120)[/C]

-1.260700[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]

0.055600[/C]

0.880800[/C][C]Trim. Kurtosis (40/120)[/C]

-1.270100[/C]

0.081800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103554&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103554&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)	-0.105100	0.631200	Trim. Kurtosis (0/120)	0.074300	0.865000
Trim. Skewness (1/120)	-0.059800	0.787200	Trim. Kurtosis (1/120)	-0.116300	0.787200
Trim. Skewness (2/120)	-0.004100	0.984000	Trim. Kurtosis (2/120)	-0.356600	0.418000
Trim. Skewness (3/120)	-0.030400	0.888600	Trim. Kurtosis (3/120)	-0.464200	0.298400
Trim. Skewness (4/120)	-0.030600	0.888600	Trim. Kurtosis (4/120)	-0.549100	0.222400
Trim. Skewness (5/120)	-0.002600	0.984000	Trim. Kurtosis (5/120)	-0.611900	0.180200
Trim. Skewness (6/120)	0.001100	0.992000	Trim. Kurtosis (6/120)	-0.631900	0.167600
Trim. Skewness (7/120)	0.014900	0.944200	Trim. Kurtosis (7/120)	-0.664600	0.152800
Trim. Skewness (8/120)	0.016900	0.936200	Trim. Kurtosis (8/120)	-0.688900	0.141600
Trim. Skewness (9/120)	0.014100	0.952200	Trim. Kurtosis (9/120)	-0.728500	0.123600
Trim. Skewness (10/120)	0.007700	0.968000	Trim. Kurtosis (10/120)	-0.776900	0.103200
Trim. Skewness (11/120)	0.020100	0.928200	Trim. Kurtosis (11/120)	-0.810900	0.093000
Trim. Skewness (12/120)	0.041100	0.865000	Trim. Kurtosis (12/120)	-0.864200	0.075000
Trim. Skewness (13/120)	0.060700	0.802600	Trim. Kurtosis (13/120)	-0.931700	0.057400
Trim. Skewness (14/120)	0.092000	0.711400	Trim. Kurtosis (14/120)	-1.005200	0.043400
Trim. Skewness (15/120)	0.089100	0.718800	Trim. Kurtosis (15/120)	-1.039300	0.038400
Trim. Skewness (16/120)	0.090600	0.718800	Trim. Kurtosis (16/120)	-1.074700	0.034000
Trim. Skewness (17/120)	0.104000	0.681800	Trim. Kurtosis (17/120)	-1.110800	0.030000
Trim. Skewness (18/120)	0.104400	0.689200	Trim. Kurtosis (18/120)	-1.148900	0.026400
Trim. Skewness (19/120)	0.103200	0.696600	Trim. Kurtosis (19/120)	-1.194800	0.022600
Trim. Skewness (20/120)	0.121300	0.645600	Trim. Kurtosis (20/120)	-1.233100	0.020400
Trim. Skewness (21/120)	0.127800	0.638400	Trim. Kurtosis (21/120)	-1.243700	0.020400
Trim. Skewness (22/120)	0.130800	0.631200	Trim. Kurtosis (22/120)	-1.235200	0.023200
Trim. Skewness (23/120)	0.134200	0.624200	Trim. Kurtosis (23/120)	-1.223100	0.026400
Trim. Skewness (24/120)	0.137200	0.624200	Trim. Kurtosis (24/120)	-1.216200	0.029200
Trim. Skewness (25/120)	0.138100	0.624200	Trim. Kurtosis (25/120)	-1.215200	0.031600
Trim. Skewness (26/120)	0.137300	0.631200	Trim. Kurtosis (26/120)	-1.216300	0.034000
Trim. Skewness (27/120)	0.128300	0.660000	Trim. Kurtosis (27/120)	-1.209900	0.037600
Trim. Skewness (28/120)	0.114500	0.696600	Trim. Kurtosis (28/120)	-1.213700	0.039400
Trim. Skewness (29/120)	0.102500	0.733800	Trim. Kurtosis (29/120)	-1.218900	0.041400
Trim. Skewness (30/120)	0.086200	0.779400	Trim. Kurtosis (30/120)	-1.241500	0.040400
Trim. Skewness (31/120)	0.064600	0.833600	Trim. Kurtosis (31/120)	-1.274600	0.038400
Trim. Skewness (32/120)	0.052500	0.865000	Trim. Kurtosis (32/120)	-1.286400	0.040400
Trim. Skewness (33/120)	0.025800	0.936200	Trim. Kurtosis (33/120)	-1.307400	0.040400
Trim. Skewness (34/120)	-0.000900	0.992000	Trim. Kurtosis (34/120)	-1.338900	0.039400
Trim. Skewness (35/120)	0.008000	0.976000	Trim. Kurtosis (35/120)	-1.322300	0.045600
Trim. Skewness (36/120)	0.015300	0.960200	Trim. Kurtosis (36/120)	-1.295600	0.053600
Trim. Skewness (37/120)	0.025900	0.936200	Trim. Kurtosis (37/120)	-1.274400	0.062800
Trim. Skewness (38/120)	0.037100	0.912400	Trim. Kurtosis (38/120)	-1.260800	0.071800
Trim. Skewness (39/120)	0.052700	0.880800	Trim. Kurtosis (39/120)	-1.260700	0.078400
Trim. Skewness (40/120)	0.055600	0.880800	Trim. Kurtosis (40/120)	-1.270100	0.081800

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