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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 14:42:15 +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/t1291128022b2zb5xg0zjzkdx7.htm/, Retrieved Mon, 29 Apr 2024 08:15:27 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103544, Retrieved Mon, 29 Apr 2024 08:15:27 +0000

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112

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-       [Skewness and Kurtosis] [] [2010-11-30 14:42:15] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]

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50.9248375
52.13227114
51.41197732
51.39312117
49.77663032
56.4851557
49.99795502
46.44558665
46.76313657
52.71263247
52.08771433
41.67690754
53.43509309
52.24491072
49.64122928
43.14869916
47.6250632
45.96005746
53.01993428
50.62575331
48.59447492
54.02004303
45.97832286
49.66589745
46.99884036
48.9272793
50.27554304
49.61093479
52.36327315
47.18678719
47.50412457
52.83729135
54.38686996
48.81115344
48.2797547
46.25938326
45.09584621
47.81429003
49.93332983
54.20924006
51.48283734
52.61402891
51.32876358
54.4923995
50.10997773
54.65045665
48.44165672
50.44756731
53.00604256
47.67790192
51.78067707
50.48120772
50.53513021
49.84334562
51.73345226
47.14761359
45.56923869
49.23588056
46.78423285
57.89539933
44.72546801
48.55595779
53.47986176
47.97929425
53.37549125
47.83409022
45.332551
47.21551461
48.32840915
47.81885979
47.26750447
51.3556951
54.59904055
51.62144235
50.36316467
49.86454841
48.3564624
52.4472312
55.04952636
48.07212959
48.28150317
49.81859974
49.44440029
52.26787841
49.97247753
53.40557222
49.52806471
48.20055819
47.35338779
50.71100569
51.71922121
47.46322389
43.05275105
48.50625626
51.28898749
44.91818138
49.52088228
50.02155938
48.12188994
48.72602248
50.75029348
48.8642637
50.65079891
51.20551938
51.9929938
48.95102838
50.59523995
45.49078595
52.97605481
51.79856258
48.50518321
54.58739418
53.5420617
49.80231014
50.9887101
43.92801777
45.5361594
46.4981254
47.79592263
46.78239601

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-0.950390	FISHER 4th Cent. Mom.	219.190395
FISHER beta 1	0.001413	FISHER beta 2	2.953263
FISHER gamma 1	-0.037585	FISHER gamma 2	-0.046737
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.168084	FISHER Test 2	-0.104507
FISHER Test 1 Probability	0.865000	FISHER Test 2 Probability	0.912400
Pearson 2	-0.072342
Yule using Quartile definition:Weighted Average at Xnp	-0.023247
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.012984
Yule using Quartile definition:Empirical Distribution Function	-0.023247
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.014863
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.016758
Yule using Quartile definition:Closest Observation	-0.023247
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.016758
Yule using Quartile definition:MS Excel (old versions)	-0.011120
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.038062	Kurtosis (small sample)	0.002972
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.172322	TEST 1 (small sample)	0.006781
TEST 1 Prob. (small sample)	0.857200	TEST 1 Prob. (small sample)	0.992000
Observations	120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-0.950390 & FISHER 4th Cent. Mom.

219.190395 \tabularnewline FISHER beta 1

0.001413 & FISHER beta 2

2.953263 \tabularnewline FISHER gamma 1

-0.037585 & FISHER gamma 2

-0.046737 \tabularnewline FISHER gamma 1 (S.E.)

0.223607 & FISHER gamma 2 (S.E.)

0.447214 \tabularnewline FISHER Test 1

-0.168084 & FISHER Test 2

-0.104507 \tabularnewline FISHER Test 1 Probability

0.865000 & FISHER Test 2 Probability

0.912400 \tabularnewline Pearson 2

-0.072342 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.023247 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

-0.012984 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

-0.023247 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

-0.014863 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

-0.016758 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.023247 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

-0.016758 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

-0.011120 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.038062 & Kurtosis (small sample)

0.002972 \tabularnewline Skewness S.E. (small sample)

0.220879 & Kurtosis S.E. (small sample)

0.438331 \tabularnewline TEST 1 (small sample)

-0.172322 & TEST 1 (small sample)

0.006781 \tabularnewline TEST 1 Prob. (small sample)

0.857200 & TEST 1 Prob. (small sample)

0.992000 \tabularnewline Observations

120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103544&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]

-0.950390[/C][C]FISHER 4th Cent. Mom.[/C]

219.190395[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.001413[/C][C]FISHER beta 2[/C]

2.953263[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.037585[/C][C]FISHER gamma 2[/C]

-0.046737[/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]

-0.168084[/C][C]FISHER Test 2[/C]

-0.104507[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.865000[/C][C]FISHER Test 2 Probability[/C]

0.912400[/C][/ROW] [ROW][C]Pearson 2[/C]

-0.072342[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.023247[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

-0.012984[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

-0.023247[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

-0.014863[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

-0.016758[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.023247[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

-0.016758[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

-0.011120[/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]

-0.038062[/C][C]Kurtosis (small sample)[/C]

0.002972[/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]

-0.172322[/C][C]TEST 1 (small sample)[/C]

0.006781[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.857200[/C][C]TEST 1 Prob. (small sample)[/C]

0.992000[/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=103544&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103544&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.	-0.950390	FISHER 4th Cent. Mom.	219.190395
FISHER beta 1	0.001413	FISHER beta 2	2.953263
FISHER gamma 1	-0.037585	FISHER gamma 2	-0.046737
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.168084	FISHER Test 2	-0.104507
FISHER Test 1 Probability	0.865000	FISHER Test 2 Probability	0.912400
Pearson 2	-0.072342
Yule using Quartile definition:Weighted Average at Xnp	-0.023247
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.012984
Yule using Quartile definition:Empirical Distribution Function	-0.023247
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.014863
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.016758
Yule using Quartile definition:Closest Observation	-0.023247
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.016758
Yule using Quartile definition:MS Excel (old versions)	-0.011120
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.038062	Kurtosis (small sample)	0.002972
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.172322	TEST 1 (small sample)	0.006781
TEST 1 Prob. (small sample)	0.857200	TEST 1 Prob. (small sample)	0.992000
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)	-0.038100	0.857200	Trim. Kurtosis (0/120)	0.003000	0.992000
Trim. Skewness (1/120)	-0.052900	0.810400	Trim. Kurtosis (1/120)	-0.408200	0.352400
Trim. Skewness (2/120)	-0.064700	0.771800	Trim. Kurtosis (2/120)	-0.584500	0.186800
Trim. Skewness (3/120)	-0.013900	0.944200	Trim. Kurtosis (3/120)	-0.711800	0.111800
Trim. Skewness (4/120)	0.022100	0.920400	Trim. Kurtosis (4/120)	-0.775200	0.085400
Trim. Skewness (5/120)	0.031600	0.888600	Trim. Kurtosis (5/120)	-0.795100	0.081800
Trim. Skewness (6/120)	0.035600	0.872800	Trim. Kurtosis (6/120)	-0.822700	0.073400
Trim. Skewness (7/120)	0.036800	0.872800	Trim. Kurtosis (7/120)	-0.855700	0.065800
Trim. Skewness (8/120)	0.032300	0.888600	Trim. Kurtosis (8/120)	-0.889800	0.057400
Trim. Skewness (9/120)	0.027700	0.904400	Trim. Kurtosis (9/120)	-0.924000	0.050000
Trim. Skewness (10/120)	0.028800	0.904400	Trim. Kurtosis (10/120)	-0.965600	0.043400
Trim. Skewness (11/120)	0.050000	0.833600	Trim. Kurtosis (11/120)	-0.996300	0.038400
Trim. Skewness (12/120)	0.058700	0.810400	Trim. Kurtosis (12/120)	-1.009700	0.037600
Trim. Skewness (13/120)	0.070500	0.771800	Trim. Kurtosis (13/120)	-1.036900	0.034800
Trim. Skewness (14/120)	0.071400	0.771800	Trim. Kurtosis (14/120)	-1.060100	0.033200
Trim. Skewness (15/120)	0.064000	0.794800	Trim. Kurtosis (15/120)	-1.088200	0.030000
Trim. Skewness (16/120)	0.070600	0.779400	Trim. Kurtosis (16/120)	-1.099800	0.030000
Trim. Skewness (17/120)	0.065500	0.794800	Trim. Kurtosis (17/120)	-1.106700	0.030800
Trim. Skewness (18/120)	0.059100	0.818000	Trim. Kurtosis (18/120)	-1.124900	0.030000
Trim. Skewness (19/120)	0.058900	0.818000	Trim. Kurtosis (19/120)	-1.148200	0.028600
Trim. Skewness (20/120)	0.053300	0.841400	Trim. Kurtosis (20/120)	-1.160500	0.028600
Trim. Skewness (21/120)	0.043800	0.865000	Trim. Kurtosis (21/120)	-1.168000	0.029200
Trim. Skewness (22/120)	0.039900	0.880800	Trim. Kurtosis (22/120)	-1.169200	0.031600
Trim. Skewness (23/120)	0.038300	0.888600	Trim. Kurtosis (23/120)	-1.172900	0.033200
Trim. Skewness (24/120)	0.039100	0.888600	Trim. Kurtosis (24/120)	-1.176600	0.034800
Trim. Skewness (25/120)	0.035100	0.896600	Trim. Kurtosis (25/120)	-1.185800	0.035800
Trim. Skewness (26/120)	0.030500	0.912400	Trim. Kurtosis (26/120)	-1.188100	0.038400
Trim. Skewness (27/120)	0.024500	0.928200	Trim. Kurtosis (27/120)	-1.197500	0.039400
Trim. Skewness (28/120)	0.015200	0.952200	Trim. Kurtosis (28/120)	-1.200300	0.041400
Trim. Skewness (29/120)	0.015800	0.952200	Trim. Kurtosis (29/120)	-1.188000	0.046600
Trim. Skewness (30/120)	0.007900	0.976000	Trim. Kurtosis (30/120)	-1.172600	0.053600
Trim. Skewness (31/120)	0.000300	0.992000	Trim. Kurtosis (31/120)	-1.160500	0.060200
Trim. Skewness (32/120)	-0.009300	0.976000	Trim. Kurtosis (32/120)	-1.163200	0.062800
Trim. Skewness (33/120)	-0.011700	0.968000	Trim. Kurtosis (33/120)	-1.171500	0.065800
Trim. Skewness (34/120)	-0.015200	0.960200	Trim. Kurtosis (34/120)	-1.155400	0.075000
Trim. Skewness (35/120)	-0.022100	0.944200	Trim. Kurtosis (35/120)	-1.128800	0.087200
Trim. Skewness (36/120)	-0.035600	0.912400	Trim. Kurtosis (36/120)	-1.105700	0.101000
Trim. Skewness (37/120)	-0.059900	0.857200	Trim. Kurtosis (37/120)	-1.081200	0.114200
Trim. Skewness (38/120)	-0.101800	0.771800	Trim. Kurtosis (38/120)	-1.061600	0.128600
Trim. Skewness (39/120)	-0.155300	0.667200	Trim. Kurtosis (39/120)	-1.065200	0.136200
Trim. Skewness (40/120)	-0.220800	0.548400	Trim. Kurtosis (40/120)	-1.079400	0.138800

\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)

-0.038100

0.857200 & Trim. Kurtosis (0/120)

0.003000

0.992000 \tabularnewline Trim. Skewness (1/120)

-0.052900

0.810400 & Trim. Kurtosis (1/120)

-0.408200

0.352400 \tabularnewline Trim. Skewness (2/120)

-0.064700

0.771800 & Trim. Kurtosis (2/120)

-0.584500

0.186800 \tabularnewline Trim. Skewness (3/120)

-0.013900

0.944200 & Trim. Kurtosis (3/120)

-0.711800

0.111800 \tabularnewline Trim. Skewness (4/120)

0.022100

0.920400 & Trim. Kurtosis (4/120)

-0.775200

0.085400 \tabularnewline Trim. Skewness (5/120)

0.031600

0.888600 & Trim. Kurtosis (5/120)

-0.795100

0.081800 \tabularnewline Trim. Skewness (6/120)

0.035600

0.872800 & Trim. Kurtosis (6/120)

-0.822700

0.073400 \tabularnewline Trim. Skewness (7/120)

0.036800

0.872800 & Trim. Kurtosis (7/120)

-0.855700

0.065800 \tabularnewline Trim. Skewness (8/120)

0.032300

0.888600 & Trim. Kurtosis (8/120)

-0.889800

0.057400 \tabularnewline Trim. Skewness (9/120)

0.027700

0.904400 & Trim. Kurtosis (9/120)

-0.924000

0.050000 \tabularnewline Trim. Skewness (10/120)

0.028800

0.904400 & Trim. Kurtosis (10/120)

-0.965600

0.043400 \tabularnewline Trim. Skewness (11/120)

0.050000

0.833600 & Trim. Kurtosis (11/120)

-0.996300

0.038400 \tabularnewline Trim. Skewness (12/120)

0.058700

0.810400 & Trim. Kurtosis (12/120)

-1.009700

0.037600 \tabularnewline Trim. Skewness (13/120)

0.070500

0.771800 & Trim. Kurtosis (13/120)

-1.036900

0.034800 \tabularnewline Trim. Skewness (14/120)

0.071400

0.771800 & Trim. Kurtosis (14/120)

-1.060100

0.033200 \tabularnewline Trim. Skewness (15/120)

0.064000

0.794800 & Trim. Kurtosis (15/120)

-1.088200

0.030000 \tabularnewline Trim. Skewness (16/120)

0.070600

0.779400 & Trim. Kurtosis (16/120)

-1.099800

0.030000 \tabularnewline Trim. Skewness (17/120)

0.065500

0.794800 & Trim. Kurtosis (17/120)

-1.106700

0.030800 \tabularnewline Trim. Skewness (18/120)

0.059100

0.818000 & Trim. Kurtosis (18/120)

-1.124900

0.030000 \tabularnewline Trim. Skewness (19/120)

0.058900

0.818000 & Trim. Kurtosis (19/120)

-1.148200

0.028600 \tabularnewline Trim. Skewness (20/120)

0.053300

0.841400 & Trim. Kurtosis (20/120)

-1.160500

0.028600 \tabularnewline Trim. Skewness (21/120)

0.043800

0.865000 & Trim. Kurtosis (21/120)

-1.168000

0.029200 \tabularnewline Trim. Skewness (22/120)

0.039900

0.880800 & Trim. Kurtosis (22/120)

-1.169200

0.031600 \tabularnewline Trim. Skewness (23/120)

0.038300

0.888600 & Trim. Kurtosis (23/120)

-1.172900

0.033200 \tabularnewline Trim. Skewness (24/120)

0.039100

0.888600 & Trim. Kurtosis (24/120)

-1.176600

0.034800 \tabularnewline Trim. Skewness (25/120)

0.035100

0.896600 & Trim. Kurtosis (25/120)

-1.185800

0.035800 \tabularnewline Trim. Skewness (26/120)

0.030500

0.912400 & Trim. Kurtosis (26/120)

-1.188100

0.038400 \tabularnewline Trim. Skewness (27/120)

0.024500

0.928200 & Trim. Kurtosis (27/120)

-1.197500

0.039400 \tabularnewline Trim. Skewness (28/120)

0.015200

0.952200 & Trim. Kurtosis (28/120)

-1.200300

0.041400 \tabularnewline Trim. Skewness (29/120)

0.015800

0.952200 & Trim. Kurtosis (29/120)

-1.188000

0.046600 \tabularnewline Trim. Skewness (30/120)

0.007900

0.976000 & Trim. Kurtosis (30/120)

-1.172600

0.053600 \tabularnewline Trim. Skewness (31/120)

0.000300

0.992000 & Trim. Kurtosis (31/120)

-1.160500

0.060200 \tabularnewline Trim. Skewness (32/120)

-0.009300

0.976000 & Trim. Kurtosis (32/120)

-1.163200

0.062800 \tabularnewline Trim. Skewness (33/120)

-0.011700

0.968000 & Trim. Kurtosis (33/120)

-1.171500

0.065800 \tabularnewline Trim. Skewness (34/120)

-0.015200

0.960200 & Trim. Kurtosis (34/120)

-1.155400

0.075000 \tabularnewline Trim. Skewness (35/120)

-0.022100

0.944200 & Trim. Kurtosis (35/120)

-1.128800

0.087200 \tabularnewline Trim. Skewness (36/120)

-0.035600

0.912400 & Trim. Kurtosis (36/120)

-1.105700

0.101000 \tabularnewline Trim. Skewness (37/120)

-0.059900

0.857200 & Trim. Kurtosis (37/120)

-1.081200

0.114200 \tabularnewline Trim. Skewness (38/120)

-0.101800

0.771800 & Trim. Kurtosis (38/120)

-1.061600

0.128600 \tabularnewline Trim. Skewness (39/120)

-0.155300

0.667200 & Trim. Kurtosis (39/120)

-1.065200

0.136200 \tabularnewline Trim. Skewness (40/120)

-0.220800

0.548400 & Trim. Kurtosis (40/120)

-1.079400

0.138800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103544&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]

-0.038100[/C]

0.857200[/C][C]Trim. Kurtosis (0/120)[/C]

0.003000[/C]

0.992000[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]

-0.052900[/C]

0.810400[/C][C]Trim. Kurtosis (1/120)[/C]

-0.408200[/C]

0.352400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]

-0.064700[/C]

0.771800[/C][C]Trim. Kurtosis (2/120)[/C]

-0.584500[/C]

0.186800[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]

-0.013900[/C]

0.944200[/C][C]Trim. Kurtosis (3/120)[/C]

-0.711800[/C]

0.111800[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]

0.022100[/C]

0.920400[/C][C]Trim. Kurtosis (4/120)[/C]

-0.775200[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]

0.031600[/C]

0.888600[/C][C]Trim. Kurtosis (5/120)[/C]

-0.795100[/C]

0.081800[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]

0.035600[/C]

0.872800[/C][C]Trim. Kurtosis (6/120)[/C]

-0.822700[/C]

0.073400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]

0.036800[/C]

0.872800[/C][C]Trim. Kurtosis (7/120)[/C]

-0.855700[/C]

0.065800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]

0.032300[/C]

0.888600[/C][C]Trim. Kurtosis (8/120)[/C]

-0.889800[/C]

0.057400[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]

0.027700[/C]

0.904400[/C][C]Trim. Kurtosis (9/120)[/C]

-0.924000[/C]

0.050000[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]

0.028800[/C]

0.904400[/C][C]Trim. Kurtosis (10/120)[/C]

-0.965600[/C]

0.043400[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]

0.050000[/C]

0.833600[/C][C]Trim. Kurtosis (11/120)[/C]

-0.996300[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]

0.058700[/C]

0.810400[/C][C]Trim. Kurtosis (12/120)[/C]

-1.009700[/C]

0.037600[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]

0.070500[/C]

0.771800[/C][C]Trim. Kurtosis (13/120)[/C]

-1.036900[/C]

0.034800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]

0.071400[/C]

0.771800[/C][C]Trim. Kurtosis (14/120)[/C]

-1.060100[/C]

0.033200[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]

0.064000[/C]

0.794800[/C][C]Trim. Kurtosis (15/120)[/C]

-1.088200[/C]

0.030000[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]

0.070600[/C]

0.779400[/C][C]Trim. Kurtosis (16/120)[/C]

-1.099800[/C]

0.030000[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]

0.065500[/C]

0.794800[/C][C]Trim. Kurtosis (17/120)[/C]

-1.106700[/C]

0.030800[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]

0.059100[/C]

0.818000[/C][C]Trim. Kurtosis (18/120)[/C]

-1.124900[/C]

0.030000[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]

0.058900[/C]

0.818000[/C][C]Trim. Kurtosis (19/120)[/C]

-1.148200[/C]

0.028600[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]

0.053300[/C]

0.841400[/C][C]Trim. Kurtosis (20/120)[/C]

-1.160500[/C]

0.028600[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]

0.043800[/C]

0.865000[/C][C]Trim. Kurtosis (21/120)[/C]

-1.168000[/C]

0.029200[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]

0.039900[/C]

0.880800[/C][C]Trim. Kurtosis (22/120)[/C]

-1.169200[/C]

0.031600[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]

0.038300[/C]

0.888600[/C][C]Trim. Kurtosis (23/120)[/C]

-1.172900[/C]

0.033200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]

0.039100[/C]

0.888600[/C][C]Trim. Kurtosis (24/120)[/C]

-1.176600[/C]

0.034800[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]

0.035100[/C]

0.896600[/C][C]Trim. Kurtosis (25/120)[/C]

-1.185800[/C]

0.035800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]

0.030500[/C]

0.912400[/C][C]Trim. Kurtosis (26/120)[/C]

-1.188100[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]

0.024500[/C]

0.928200[/C][C]Trim. Kurtosis (27/120)[/C]

-1.197500[/C]

0.039400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]

0.015200[/C]

0.952200[/C][C]Trim. Kurtosis (28/120)[/C]

-1.200300[/C]

0.041400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]

0.015800[/C]

0.952200[/C][C]Trim. Kurtosis (29/120)[/C]

-1.188000[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]

0.007900[/C]

0.976000[/C][C]Trim. Kurtosis (30/120)[/C]

-1.172600[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]

0.000300[/C]

0.992000[/C][C]Trim. Kurtosis (31/120)[/C]

-1.160500[/C]

0.060200[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]

-0.009300[/C]

0.976000[/C][C]Trim. Kurtosis (32/120)[/C]

-1.163200[/C]

0.062800[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]

-0.011700[/C]

0.968000[/C][C]Trim. Kurtosis (33/120)[/C]

-1.171500[/C]

0.065800[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]

-0.015200[/C]

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

-1.155400[/C]

0.075000[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]

-0.022100[/C]

0.944200[/C][C]Trim. Kurtosis (35/120)[/C]

-1.128800[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]

-0.035600[/C]

0.912400[/C][C]Trim. Kurtosis (36/120)[/C]

-1.105700[/C]

0.101000[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]

-0.059900[/C]

0.857200[/C][C]Trim. Kurtosis (37/120)[/C]

-1.081200[/C]

0.114200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]

-0.101800[/C]

0.771800[/C][C]Trim. Kurtosis (38/120)[/C]

-1.061600[/C]

0.128600[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]

-0.155300[/C]

0.667200[/C][C]Trim. Kurtosis (39/120)[/C]

-1.065200[/C]

0.136200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]

-0.220800[/C]

0.548400[/C][C]Trim. Kurtosis (40/120)[/C]

-1.079400[/C]

0.138800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103544&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103544&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)	-0.038100	0.857200	Trim. Kurtosis (0/120)	0.003000	0.992000
Trim. Skewness (1/120)	-0.052900	0.810400	Trim. Kurtosis (1/120)	-0.408200	0.352400
Trim. Skewness (2/120)	-0.064700	0.771800	Trim. Kurtosis (2/120)	-0.584500	0.186800
Trim. Skewness (3/120)	-0.013900	0.944200	Trim. Kurtosis (3/120)	-0.711800	0.111800
Trim. Skewness (4/120)	0.022100	0.920400	Trim. Kurtosis (4/120)	-0.775200	0.085400
Trim. Skewness (5/120)	0.031600	0.888600	Trim. Kurtosis (5/120)	-0.795100	0.081800
Trim. Skewness (6/120)	0.035600	0.872800	Trim. Kurtosis (6/120)	-0.822700	0.073400
Trim. Skewness (7/120)	0.036800	0.872800	Trim. Kurtosis (7/120)	-0.855700	0.065800
Trim. Skewness (8/120)	0.032300	0.888600	Trim. Kurtosis (8/120)	-0.889800	0.057400
Trim. Skewness (9/120)	0.027700	0.904400	Trim. Kurtosis (9/120)	-0.924000	0.050000
Trim. Skewness (10/120)	0.028800	0.904400	Trim. Kurtosis (10/120)	-0.965600	0.043400
Trim. Skewness (11/120)	0.050000	0.833600	Trim. Kurtosis (11/120)	-0.996300	0.038400
Trim. Skewness (12/120)	0.058700	0.810400	Trim. Kurtosis (12/120)	-1.009700	0.037600
Trim. Skewness (13/120)	0.070500	0.771800	Trim. Kurtosis (13/120)	-1.036900	0.034800
Trim. Skewness (14/120)	0.071400	0.771800	Trim. Kurtosis (14/120)	-1.060100	0.033200
Trim. Skewness (15/120)	0.064000	0.794800	Trim. Kurtosis (15/120)	-1.088200	0.030000
Trim. Skewness (16/120)	0.070600	0.779400	Trim. Kurtosis (16/120)	-1.099800	0.030000
Trim. Skewness (17/120)	0.065500	0.794800	Trim. Kurtosis (17/120)	-1.106700	0.030800
Trim. Skewness (18/120)	0.059100	0.818000	Trim. Kurtosis (18/120)	-1.124900	0.030000
Trim. Skewness (19/120)	0.058900	0.818000	Trim. Kurtosis (19/120)	-1.148200	0.028600
Trim. Skewness (20/120)	0.053300	0.841400	Trim. Kurtosis (20/120)	-1.160500	0.028600
Trim. Skewness (21/120)	0.043800	0.865000	Trim. Kurtosis (21/120)	-1.168000	0.029200
Trim. Skewness (22/120)	0.039900	0.880800	Trim. Kurtosis (22/120)	-1.169200	0.031600
Trim. Skewness (23/120)	0.038300	0.888600	Trim. Kurtosis (23/120)	-1.172900	0.033200
Trim. Skewness (24/120)	0.039100	0.888600	Trim. Kurtosis (24/120)	-1.176600	0.034800
Trim. Skewness (25/120)	0.035100	0.896600	Trim. Kurtosis (25/120)	-1.185800	0.035800
Trim. Skewness (26/120)	0.030500	0.912400	Trim. Kurtosis (26/120)	-1.188100	0.038400
Trim. Skewness (27/120)	0.024500	0.928200	Trim. Kurtosis (27/120)	-1.197500	0.039400
Trim. Skewness (28/120)	0.015200	0.952200	Trim. Kurtosis (28/120)	-1.200300	0.041400
Trim. Skewness (29/120)	0.015800	0.952200	Trim. Kurtosis (29/120)	-1.188000	0.046600
Trim. Skewness (30/120)	0.007900	0.976000	Trim. Kurtosis (30/120)	-1.172600	0.053600
Trim. Skewness (31/120)	0.000300	0.992000	Trim. Kurtosis (31/120)	-1.160500	0.060200
Trim. Skewness (32/120)	-0.009300	0.976000	Trim. Kurtosis (32/120)	-1.163200	0.062800
Trim. Skewness (33/120)	-0.011700	0.968000	Trim. Kurtosis (33/120)	-1.171500	0.065800
Trim. Skewness (34/120)	-0.015200	0.960200	Trim. Kurtosis (34/120)	-1.155400	0.075000
Trim. Skewness (35/120)	-0.022100	0.944200	Trim. Kurtosis (35/120)	-1.128800	0.087200
Trim. Skewness (36/120)	-0.035600	0.912400	Trim. Kurtosis (36/120)	-1.105700	0.101000
Trim. Skewness (37/120)	-0.059900	0.857200	Trim. Kurtosis (37/120)	-1.081200	0.114200
Trim. Skewness (38/120)	-0.101800	0.771800	Trim. Kurtosis (38/120)	-1.061600	0.128600
Trim. Skewness (39/120)	-0.155300	0.667200	Trim. Kurtosis (39/120)	-1.065200	0.136200
Trim. Skewness (40/120)	-0.220800	0.548400	Trim. Kurtosis (40/120)	-1.079400	0.138800

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