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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 14:43:39 +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/t1291128099b9p7j5dpq3l4x61.htm/, Retrieved Mon, 29 Apr 2024 10:09:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103546, Retrieved Mon, 29 Apr 2024 10:09:45 +0000

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103

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-       [Skewness and Kurtosis] [] [2010-11-30 14:43:39] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]

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48.73282959
50.55837682
49.19108491
47.39461569
50.61062867
52.61953811
50.26872116
49.85117777
48.20014078
46.4027671
50.57634598
49.60685004
50.61507058
48.61484677
51.18711054
55.34964424
46.47772691
52.10729526
51.64301378
51.2844679
49.39949093
49.34086741
51.4861243
46.41296646
52.09414172
51.67070861
48.72334943
47.83052106
48.69708511
48.91032917
48.00472608
51.03457779
49.82445299
52.14659325
44.08927887
45.89785215
49.94977214
48.57846053
56.22609768
47.80156413
49.1372617
51.97375483
45.39033265
48.8200031
49.82660057
49.1894294
48.46934113
49.4384873
52.05421156
55.14344939
51.20776533
43.28408163
48.71021712
54.19182134
42.49164395
44.56440635
47.52907429
45.3793611
49.68269263
46.86631648
51.71526881
48.23724514
48.90028889
51.45535624
43.84922159
51.86277034
51.02778074
43.32547771
55.77848798
48.81369219
43.86742163
47.26150739
46.42937529
51.23444347
51.62674304
51.21284251
50.22792984
51.66127173
51.37382865
45.87855439
47.15176398
53.35863701
54.53646472
49.69046415
46.43630251
51.4710153
50.03985627
48.25119474
51.20975303
48.70255824
53.13387567
57.65412969
53.73846226
47.47417114
51.73835613
52.90753309
53.05651378
47.68814964
44.17700886
54.77368037
49.57288788
52.37654682
49.59010513
48.4907175
47.15410271
49.49534761
56.38955693
49.33655318
51.3466846
53.60253033
48.33310519
53.16389523
45.87990806
50.36485197
46.77163409
49.32904088
51.81969766
49.34195024
45.9287475
52.79942548

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-0.141589	FISHER 4th Cent. Mom.	233.274040
FISHER beta 1	0.000029	FISHER beta 2	3.000604
FISHER gamma 1	-0.005408	FISHER gamma 2	0.000604
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.024185	FISHER Test 2	0.001350
FISHER Test 1 Probability	0.976000	FISHER Test 2 Probability	0.992000
Pearson 2	0.125434
Yule using Quartile definition:Weighted Average at Xnp	0.072546
Yule using Quartile definition:Weighted Average at X(n+1)p	0.088252
Yule using Quartile definition:Empirical Distribution Function	0.072546
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.099828
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.111707
Yule using Quartile definition:Closest Observation	0.072546
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.111707
Yule using Quartile definition:MS Excel (old versions)	0.076966
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.005477	Kurtosis (small sample)	0.052346
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.024795	TEST 1 (small sample)	0.119422
TEST 1 Prob. (small sample)	0.976000	TEST 1 Prob. (small sample)	0.904400
Observations	120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-0.141589 & FISHER 4th Cent. Mom.

233.274040 \tabularnewline FISHER beta 1

0.000029 & FISHER beta 2

3.000604 \tabularnewline FISHER gamma 1

-0.005408 & FISHER gamma 2

0.000604 \tabularnewline FISHER gamma 1 (S.E.)

0.223607 & FISHER gamma 2 (S.E.)

0.447214 \tabularnewline FISHER Test 1

-0.024185 & FISHER Test 2

0.001350 \tabularnewline FISHER Test 1 Probability

0.976000 & FISHER Test 2 Probability

0.992000 \tabularnewline Pearson 2

0.125434 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

0.072546 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.088252 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.072546 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.099828 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.111707 & & \tabularnewline Yule using Quartile definition:Closest Observation

0.072546 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.111707 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.076966 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.005477 & Kurtosis (small sample)

0.052346 \tabularnewline Skewness S.E. (small sample)

0.220879 & Kurtosis S.E. (small sample)

0.438331 \tabularnewline TEST 1 (small sample)

-0.024795 & TEST 1 (small sample)

0.119422 \tabularnewline TEST 1 Prob. (small sample)

0.976000 & TEST 1 Prob. (small sample)

0.904400 \tabularnewline Observations

120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103546&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]

-0.141589[/C][C]FISHER 4th Cent. Mom.[/C]

233.274040[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.000029[/C][C]FISHER beta 2[/C]

3.000604[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.005408[/C][C]FISHER gamma 2[/C]

0.000604[/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]

-0.024185[/C][C]FISHER Test 2[/C]

0.001350[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.976000[/C][C]FISHER Test 2 Probability[/C]

0.992000[/C][/ROW] [ROW][C]Pearson 2[/C]

0.125434[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

0.072546[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.088252[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.072546[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.099828[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.111707[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

0.072546[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.111707[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.076966[/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]

-0.005477[/C][C]Kurtosis (small sample)[/C]

0.052346[/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]

-0.024795[/C][C]TEST 1 (small sample)[/C]

0.119422[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.976000[/C][C]TEST 1 Prob. (small sample)[/C]

0.904400[/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=103546&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103546&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.	-0.141589	FISHER 4th Cent. Mom.	233.274040
FISHER beta 1	0.000029	FISHER beta 2	3.000604
FISHER gamma 1	-0.005408	FISHER gamma 2	0.000604
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.024185	FISHER Test 2	0.001350
FISHER Test 1 Probability	0.976000	FISHER Test 2 Probability	0.992000
Pearson 2	0.125434
Yule using Quartile definition:Weighted Average at Xnp	0.072546
Yule using Quartile definition:Weighted Average at X(n+1)p	0.088252
Yule using Quartile definition:Empirical Distribution Function	0.072546
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.099828
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.111707
Yule using Quartile definition:Closest Observation	0.072546
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.111707
Yule using Quartile definition:MS Excel (old versions)	0.076966
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.005477	Kurtosis (small sample)	0.052346
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.024795	TEST 1 (small sample)	0.119422
TEST 1 Prob. (small sample)	0.976000	TEST 1 Prob. (small sample)	0.904400
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)	-0.005500	0.976000	Trim. Kurtosis (0/120)	0.052300	0.904400
Trim. Skewness (1/120)	-0.046000	0.833600	Trim. Kurtosis (1/120)	-0.127800	0.771800
Trim. Skewness (2/120)	-0.063700	0.771800	Trim. Kurtosis (2/120)	-0.175700	0.689200
Trim. Skewness (3/120)	-0.080000	0.718800	Trim. Kurtosis (3/120)	-0.267200	0.548400
Trim. Skewness (4/120)	-0.101800	0.652800	Trim. Kurtosis (4/120)	-0.329100	0.465400
Trim. Skewness (5/120)	-0.105700	0.645600	Trim. Kurtosis (5/120)	-0.406000	0.373400
Trim. Skewness (6/120)	-0.110600	0.631200	Trim. Kurtosis (6/120)	-0.504000	0.271400
Trim. Skewness (7/120)	-0.098300	0.674400	Trim. Kurtosis (7/120)	-0.629000	0.173800
Trim. Skewness (8/120)	-0.092200	0.696600	Trim. Kurtosis (8/120)	-0.751700	0.107400
Trim. Skewness (9/120)	-0.110400	0.638400	Trim. Kurtosis (9/120)	-0.800100	0.091000
Trim. Skewness (10/120)	-0.107700	0.652800	Trim. Kurtosis (10/120)	-0.841300	0.078400
Trim. Skewness (11/120)	-0.121300	0.617000	Trim. Kurtosis (11/120)	-0.854100	0.076800
Trim. Skewness (12/120)	-0.124700	0.610000	Trim. Kurtosis (12/120)	-0.868000	0.075000
Trim. Skewness (13/120)	-0.118500	0.631200	Trim. Kurtosis (13/120)	-0.888400	0.070200
Trim. Skewness (14/120)	-0.109600	0.660000	Trim. Kurtosis (14/120)	-0.930100	0.061400
Trim. Skewness (15/120)	-0.121700	0.631200	Trim. Kurtosis (15/120)	-0.940900	0.060200
Trim. Skewness (16/120)	-0.127500	0.617000	Trim. Kurtosis (16/120)	-0.957700	0.058800
Trim. Skewness (17/120)	-0.127700	0.617000	Trim. Kurtosis (17/120)	-0.987400	0.053600
Trim. Skewness (18/120)	-0.115000	0.660000	Trim. Kurtosis (18/120)	-1.031300	0.046600
Trim. Skewness (19/120)	-0.084900	0.749000	Trim. Kurtosis (19/120)	-1.086300	0.038400
Trim. Skewness (20/120)	-0.057800	0.825800	Trim. Kurtosis (20/120)	-1.108200	0.036600
Trim. Skewness (21/120)	-0.027900	0.912400	Trim. Kurtosis (21/120)	-1.135900	0.034000
Trim. Skewness (22/120)	-0.012200	0.960200	Trim. Kurtosis (22/120)	-1.140800	0.035800
Trim. Skewness (23/120)	0.010900	0.968000	Trim. Kurtosis (23/120)	-1.160100	0.034800
Trim. Skewness (24/120)	0.036300	0.896600	Trim. Kurtosis (24/120)	-1.178000	0.034800
Trim. Skewness (25/120)	0.063600	0.818000	Trim. Kurtosis (25/120)	-1.186800	0.035800
Trim. Skewness (26/120)	0.093900	0.741400	Trim. Kurtosis (26/120)	-1.197700	0.036600
Trim. Skewness (27/120)	0.132700	0.652800	Trim. Kurtosis (27/120)	-1.213300	0.036600
Trim. Skewness (28/120)	0.166100	0.575400	Trim. Kurtosis (28/120)	-1.218600	0.038400
Trim. Skewness (29/120)	0.199000	0.509200	Trim. Kurtosis (29/120)	-1.218000	0.041400
Trim. Skewness (30/120)	0.238600	0.435400	Trim. Kurtosis (30/120)	-1.229500	0.042400
Trim. Skewness (31/120)	0.267900	0.389800	Trim. Kurtosis (31/120)	-1.229100	0.046600
Trim. Skewness (32/120)	0.282100	0.373400	Trim. Kurtosis (32/120)	-1.216800	0.052400
Trim. Skewness (33/120)	0.307400	0.342200	Trim. Kurtosis (33/120)	-1.188900	0.061400
Trim. Skewness (34/120)	0.337700	0.303000	Trim. Kurtosis (34/120)	-1.165000	0.071800
Trim. Skewness (35/120)	0.364700	0.275800	Trim. Kurtosis (35/120)	-1.138900	0.083600
Trim. Skewness (36/120)	0.386800	0.258400	Trim. Kurtosis (36/120)	-1.091100	0.105200
Trim. Skewness (37/120)	0.411800	0.238000	Trim. Kurtosis (37/120)	-1.039600	0.128600
Trim. Skewness (38/120)	0.435000	0.222400	Trim. Kurtosis (38/120)	-0.969200	0.164600
Trim. Skewness (39/120)	0.461600	0.204000	Trim. Kurtosis (39/120)	-0.881500	0.215000
Trim. Skewness (40/120)	0.479100	0.197000	Trim. Kurtosis (40/120)	-0.779000	0.284600

\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)

-0.005500

0.976000 & Trim. Kurtosis (0/120)

0.052300

0.904400 \tabularnewline Trim. Skewness (1/120)

-0.046000

0.833600 & Trim. Kurtosis (1/120)

-0.127800

0.771800 \tabularnewline Trim. Skewness (2/120)

-0.063700

0.771800 & Trim. Kurtosis (2/120)

-0.175700

0.689200 \tabularnewline Trim. Skewness (3/120)

-0.080000

0.718800 & Trim. Kurtosis (3/120)

-0.267200

0.548400 \tabularnewline Trim. Skewness (4/120)

-0.101800

0.652800 & Trim. Kurtosis (4/120)

-0.329100

0.465400 \tabularnewline Trim. Skewness (5/120)

-0.105700

0.645600 & Trim. Kurtosis (5/120)

-0.406000

0.373400 \tabularnewline Trim. Skewness (6/120)

-0.110600

0.631200 & Trim. Kurtosis (6/120)

-0.504000

0.271400 \tabularnewline Trim. Skewness (7/120)

-0.098300

0.674400 & Trim. Kurtosis (7/120)

-0.629000

0.173800 \tabularnewline Trim. Skewness (8/120)

-0.092200

0.696600 & Trim. Kurtosis (8/120)

-0.751700

0.107400 \tabularnewline Trim. Skewness (9/120)

-0.110400

0.638400 & Trim. Kurtosis (9/120)

-0.800100

0.091000 \tabularnewline Trim. Skewness (10/120)

-0.107700

0.652800 & Trim. Kurtosis (10/120)

-0.841300

0.078400 \tabularnewline Trim. Skewness (11/120)

-0.121300

0.617000 & Trim. Kurtosis (11/120)

-0.854100

0.076800 \tabularnewline Trim. Skewness (12/120)

-0.124700

0.610000 & Trim. Kurtosis (12/120)

-0.868000

0.075000 \tabularnewline Trim. Skewness (13/120)

-0.118500

0.631200 & Trim. Kurtosis (13/120)

-0.888400

0.070200 \tabularnewline Trim. Skewness (14/120)

-0.109600

0.660000 & Trim. Kurtosis (14/120)

-0.930100

0.061400 \tabularnewline Trim. Skewness (15/120)

-0.121700

0.631200 & Trim. Kurtosis (15/120)

-0.940900

0.060200 \tabularnewline Trim. Skewness (16/120)

-0.127500

0.617000 & Trim. Kurtosis (16/120)

-0.957700

0.058800 \tabularnewline Trim. Skewness (17/120)

-0.127700

0.617000 & Trim. Kurtosis (17/120)

-0.987400

0.053600 \tabularnewline Trim. Skewness (18/120)

-0.115000

0.660000 & Trim. Kurtosis (18/120)

-1.031300

0.046600 \tabularnewline Trim. Skewness (19/120)

-0.084900

0.749000 & Trim. Kurtosis (19/120)

-1.086300

0.038400 \tabularnewline Trim. Skewness (20/120)

-0.057800

0.825800 & Trim. Kurtosis (20/120)

-1.108200

0.036600 \tabularnewline Trim. Skewness (21/120)

-0.027900

0.912400 & Trim. Kurtosis (21/120)

-1.135900

0.034000 \tabularnewline Trim. Skewness (22/120)

-0.012200

0.960200 & Trim. Kurtosis (22/120)

-1.140800

0.035800 \tabularnewline Trim. Skewness (23/120)

0.010900

0.968000 & Trim. Kurtosis (23/120)

-1.160100

0.034800 \tabularnewline Trim. Skewness (24/120)

0.036300

0.896600 & Trim. Kurtosis (24/120)

-1.178000

0.034800 \tabularnewline Trim. Skewness (25/120)

0.063600

0.818000 & Trim. Kurtosis (25/120)

-1.186800

0.035800 \tabularnewline Trim. Skewness (26/120)

0.093900

0.741400 & Trim. Kurtosis (26/120)

-1.197700

0.036600 \tabularnewline Trim. Skewness (27/120)

0.132700

0.652800 & Trim. Kurtosis (27/120)

-1.213300

0.036600 \tabularnewline Trim. Skewness (28/120)

0.166100

0.575400 & Trim. Kurtosis (28/120)

-1.218600

0.038400 \tabularnewline Trim. Skewness (29/120)

0.199000

0.509200 & Trim. Kurtosis (29/120)

-1.218000

0.041400 \tabularnewline Trim. Skewness (30/120)

0.238600

0.435400 & Trim. Kurtosis (30/120)

-1.229500

0.042400 \tabularnewline Trim. Skewness (31/120)

0.267900

0.389800 & Trim. Kurtosis (31/120)

-1.229100

0.046600 \tabularnewline Trim. Skewness (32/120)

0.282100

0.373400 & Trim. Kurtosis (32/120)

-1.216800

0.052400 \tabularnewline Trim. Skewness (33/120)

0.307400

0.342200 & Trim. Kurtosis (33/120)

-1.188900

0.061400 \tabularnewline Trim. Skewness (34/120)

0.337700

0.303000 & Trim. Kurtosis (34/120)

-1.165000

0.071800 \tabularnewline Trim. Skewness (35/120)

0.364700

0.275800 & Trim. Kurtosis (35/120)

-1.138900

0.083600 \tabularnewline Trim. Skewness (36/120)

0.386800

0.258400 & Trim. Kurtosis (36/120)

-1.091100

0.105200 \tabularnewline Trim. Skewness (37/120)

0.411800

0.238000 & Trim. Kurtosis (37/120)

-1.039600

0.128600 \tabularnewline Trim. Skewness (38/120)

0.435000

0.222400 & Trim. Kurtosis (38/120)

-0.969200

0.164600 \tabularnewline Trim. Skewness (39/120)

0.461600

0.204000 & Trim. Kurtosis (39/120)

-0.881500

0.215000 \tabularnewline Trim. Skewness (40/120)

0.479100

0.197000 & Trim. Kurtosis (40/120)

-0.779000

0.284600 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103546&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]

-0.005500[/C]

0.976000[/C][C]Trim. Kurtosis (0/120)[/C]

0.052300[/C]

0.904400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]

-0.046000[/C]

0.833600[/C][C]Trim. Kurtosis (1/120)[/C]

-0.127800[/C]

0.771800[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]

-0.063700[/C]

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

-0.175700[/C]

0.689200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]

-0.080000[/C]

0.718800[/C][C]Trim. Kurtosis (3/120)[/C]

-0.267200[/C]

0.548400[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]

-0.101800[/C]

0.652800[/C][C]Trim. Kurtosis (4/120)[/C]

-0.329100[/C]

0.465400[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]

-0.105700[/C]

0.645600[/C][C]Trim. Kurtosis (5/120)[/C]

-0.406000[/C]

0.373400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]

-0.110600[/C]

0.631200[/C][C]Trim. Kurtosis (6/120)[/C]

-0.504000[/C]

0.271400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]

-0.098300[/C]

0.674400[/C][C]Trim. Kurtosis (7/120)[/C]

-0.629000[/C]

0.173800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]

-0.092200[/C]

0.696600[/C][C]Trim. Kurtosis (8/120)[/C]

-0.751700[/C]

0.107400[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]

-0.110400[/C]

0.638400[/C][C]Trim. Kurtosis (9/120)[/C]

-0.800100[/C]

0.091000[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]

-0.107700[/C]

0.652800[/C][C]Trim. Kurtosis (10/120)[/C]

-0.841300[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]

-0.121300[/C]

0.617000[/C][C]Trim. Kurtosis (11/120)[/C]

-0.854100[/C]

0.076800[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]

-0.124700[/C]

0.610000[/C][C]Trim. Kurtosis (12/120)[/C]

-0.868000[/C]

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

-0.118500[/C]

0.631200[/C][C]Trim. Kurtosis (13/120)[/C]

-0.888400[/C]

0.070200[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]

-0.109600[/C]

0.660000[/C][C]Trim. Kurtosis (14/120)[/C]

-0.930100[/C]

0.061400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]

-0.121700[/C]

0.631200[/C][C]Trim. Kurtosis (15/120)[/C]

-0.940900[/C]

0.060200[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]

-0.127500[/C]

0.617000[/C][C]Trim. Kurtosis (16/120)[/C]

-0.957700[/C]

0.058800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]

-0.127700[/C]

0.617000[/C][C]Trim. Kurtosis (17/120)[/C]

-0.987400[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]

-0.115000[/C]

0.660000[/C][C]Trim. Kurtosis (18/120)[/C]

-1.031300[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]

-0.084900[/C]

0.749000[/C][C]Trim. Kurtosis (19/120)[/C]

-1.086300[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]

-0.057800[/C]

0.825800[/C][C]Trim. Kurtosis (20/120)[/C]

-1.108200[/C]

0.036600[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]

-0.027900[/C]

0.912400[/C][C]Trim. Kurtosis (21/120)[/C]

-1.135900[/C]

0.034000[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]

-0.012200[/C]

0.960200[/C][C]Trim. Kurtosis (22/120)[/C]

-1.140800[/C]

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

0.010900[/C]

0.968000[/C][C]Trim. Kurtosis (23/120)[/C]

-1.160100[/C]

0.034800[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]

0.036300[/C]

0.896600[/C][C]Trim. Kurtosis (24/120)[/C]

-1.178000[/C]

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

0.063600[/C]

0.818000[/C][C]Trim. Kurtosis (25/120)[/C]

-1.186800[/C]

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

0.093900[/C]

0.741400[/C][C]Trim. Kurtosis (26/120)[/C]

-1.197700[/C]

0.036600[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]

0.132700[/C]

0.652800[/C][C]Trim. Kurtosis (27/120)[/C]

-1.213300[/C]

0.036600[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]

0.166100[/C]

0.575400[/C][C]Trim. Kurtosis (28/120)[/C]

-1.218600[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]

0.199000[/C]

0.509200[/C][C]Trim. Kurtosis (29/120)[/C]

-1.218000[/C]

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

0.238600[/C]

0.435400[/C][C]Trim. Kurtosis (30/120)[/C]

-1.229500[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]

0.267900[/C]

0.389800[/C][C]Trim. Kurtosis (31/120)[/C]

-1.229100[/C]

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

0.282100[/C]

0.373400[/C][C]Trim. Kurtosis (32/120)[/C]

-1.216800[/C]

0.052400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]

0.307400[/C]

0.342200[/C][C]Trim. Kurtosis (33/120)[/C]

-1.188900[/C]

0.061400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]

0.337700[/C]

0.303000[/C][C]Trim. Kurtosis (34/120)[/C]

-1.165000[/C]

0.071800[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]

0.364700[/C]

0.275800[/C][C]Trim. Kurtosis (35/120)[/C]

-1.138900[/C]

0.083600[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]

0.386800[/C]

0.258400[/C][C]Trim. Kurtosis (36/120)[/C]

-1.091100[/C]

0.105200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]

0.411800[/C]

0.238000[/C][C]Trim. Kurtosis (37/120)[/C]

-1.039600[/C]

0.128600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]

0.435000[/C]

0.222400[/C][C]Trim. Kurtosis (38/120)[/C]

-0.969200[/C]

0.164600[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]

0.461600[/C]

0.204000[/C][C]Trim. Kurtosis (39/120)[/C]

-0.881500[/C]

0.215000[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]

0.479100[/C]

0.197000[/C][C]Trim. Kurtosis (40/120)[/C]

-0.779000[/C]

0.284600[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103546&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103546&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)	-0.005500	0.976000	Trim. Kurtosis (0/120)	0.052300	0.904400
Trim. Skewness (1/120)	-0.046000	0.833600	Trim. Kurtosis (1/120)	-0.127800	0.771800
Trim. Skewness (2/120)	-0.063700	0.771800	Trim. Kurtosis (2/120)	-0.175700	0.689200
Trim. Skewness (3/120)	-0.080000	0.718800	Trim. Kurtosis (3/120)	-0.267200	0.548400
Trim. Skewness (4/120)	-0.101800	0.652800	Trim. Kurtosis (4/120)	-0.329100	0.465400
Trim. Skewness (5/120)	-0.105700	0.645600	Trim. Kurtosis (5/120)	-0.406000	0.373400
Trim. Skewness (6/120)	-0.110600	0.631200	Trim. Kurtosis (6/120)	-0.504000	0.271400
Trim. Skewness (7/120)	-0.098300	0.674400	Trim. Kurtosis (7/120)	-0.629000	0.173800
Trim. Skewness (8/120)	-0.092200	0.696600	Trim. Kurtosis (8/120)	-0.751700	0.107400
Trim. Skewness (9/120)	-0.110400	0.638400	Trim. Kurtosis (9/120)	-0.800100	0.091000
Trim. Skewness (10/120)	-0.107700	0.652800	Trim. Kurtosis (10/120)	-0.841300	0.078400
Trim. Skewness (11/120)	-0.121300	0.617000	Trim. Kurtosis (11/120)	-0.854100	0.076800
Trim. Skewness (12/120)	-0.124700	0.610000	Trim. Kurtosis (12/120)	-0.868000	0.075000
Trim. Skewness (13/120)	-0.118500	0.631200	Trim. Kurtosis (13/120)	-0.888400	0.070200
Trim. Skewness (14/120)	-0.109600	0.660000	Trim. Kurtosis (14/120)	-0.930100	0.061400
Trim. Skewness (15/120)	-0.121700	0.631200	Trim. Kurtosis (15/120)	-0.940900	0.060200
Trim. Skewness (16/120)	-0.127500	0.617000	Trim. Kurtosis (16/120)	-0.957700	0.058800
Trim. Skewness (17/120)	-0.127700	0.617000	Trim. Kurtosis (17/120)	-0.987400	0.053600
Trim. Skewness (18/120)	-0.115000	0.660000	Trim. Kurtosis (18/120)	-1.031300	0.046600
Trim. Skewness (19/120)	-0.084900	0.749000	Trim. Kurtosis (19/120)	-1.086300	0.038400
Trim. Skewness (20/120)	-0.057800	0.825800	Trim. Kurtosis (20/120)	-1.108200	0.036600
Trim. Skewness (21/120)	-0.027900	0.912400	Trim. Kurtosis (21/120)	-1.135900	0.034000
Trim. Skewness (22/120)	-0.012200	0.960200	Trim. Kurtosis (22/120)	-1.140800	0.035800
Trim. Skewness (23/120)	0.010900	0.968000	Trim. Kurtosis (23/120)	-1.160100	0.034800
Trim. Skewness (24/120)	0.036300	0.896600	Trim. Kurtosis (24/120)	-1.178000	0.034800
Trim. Skewness (25/120)	0.063600	0.818000	Trim. Kurtosis (25/120)	-1.186800	0.035800
Trim. Skewness (26/120)	0.093900	0.741400	Trim. Kurtosis (26/120)	-1.197700	0.036600
Trim. Skewness (27/120)	0.132700	0.652800	Trim. Kurtosis (27/120)	-1.213300	0.036600
Trim. Skewness (28/120)	0.166100	0.575400	Trim. Kurtosis (28/120)	-1.218600	0.038400
Trim. Skewness (29/120)	0.199000	0.509200	Trim. Kurtosis (29/120)	-1.218000	0.041400
Trim. Skewness (30/120)	0.238600	0.435400	Trim. Kurtosis (30/120)	-1.229500	0.042400
Trim. Skewness (31/120)	0.267900	0.389800	Trim. Kurtosis (31/120)	-1.229100	0.046600
Trim. Skewness (32/120)	0.282100	0.373400	Trim. Kurtosis (32/120)	-1.216800	0.052400
Trim. Skewness (33/120)	0.307400	0.342200	Trim. Kurtosis (33/120)	-1.188900	0.061400
Trim. Skewness (34/120)	0.337700	0.303000	Trim. Kurtosis (34/120)	-1.165000	0.071800
Trim. Skewness (35/120)	0.364700	0.275800	Trim. Kurtosis (35/120)	-1.138900	0.083600
Trim. Skewness (36/120)	0.386800	0.258400	Trim. Kurtosis (36/120)	-1.091100	0.105200
Trim. Skewness (37/120)	0.411800	0.238000	Trim. Kurtosis (37/120)	-1.039600	0.128600
Trim. Skewness (38/120)	0.435000	0.222400	Trim. Kurtosis (38/120)	-0.969200	0.164600
Trim. Skewness (39/120)	0.461600	0.204000	Trim. Kurtosis (39/120)	-0.881500	0.215000
Trim. Skewness (40/120)	0.479100	0.197000	Trim. Kurtosis (40/120)	-0.779000	0.284600

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