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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 14:49:19 +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/t12911284399e4cv5hu30l7etp.htm/, Retrieved Mon, 29 Apr 2024 10:45:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103555, Retrieved Mon, 29 Apr 2024 10:45:40 +0000

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106

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-       [Skewness and Kurtosis] [] [2010-11-30 14:49:19] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]

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46.45070482
41.88746786
52.11433265
48.92746615
55.38460793
52.25924763
55.5680035
47.07751276
46.57608908
49.01876314
50.71164325
48.56953466
46.98863352
51.41465807
49.19493794
49.9363169
49.9440207
52.47304713
48.85893473
52.06804632
53.49183572
40.50963372
49.13607741
47.83493882
54.44491224
52.75071676
50.20376853
47.19214634
52.66685566
46.67923125
50.03111157
52.91564677
55.80108286
46.2916513
48.01577941
53.6772629
56.05038537
46.56603607
47.52231199
49.6830442
51.04865213
52.68902217
56.61088796
48.34954494
51.09939486
50.97993438
52.49829484
49.05114917
49.34368225
49.04313901
52.5798621
48.60957929
51.29856114
48.2908852
56.64680029
52.05232634
46.0981778
49.45474034
52.2813188
48.69906963
49.17144106
52.84164365
56.35009785
51.65591307
53.96568144
50.16016174
48.33824742
46.76993649
52.32341639
55.27186176
48.68447394
51.83552277
49.81171748
53.67712024
49.51384057
53.31107865
47.42356541
54.37666022
47.59222468
49.99439871
48.82142041
46.92568677
49.8748522
52.37339621
47.30568346
50.58261017
48.46538938
56.43474331
48.748547
45.46576277
49.75547552
46.28305526
52.07721833
53.50692104
50.12798926
49.44273952
49.21737047
47.16844473
45.10385627
55.38943976
53.98100228
45.86032478
52.99091965
56.37302994
54.53202345
53.7558002
51.72803639
51.08054401
50.96794393
51.36461178
52.67043636
50.47301802
45.15017406
52.99622158
48.94449104
54.82412841
54.41442762
51.7074516
48.80870757
51.01184196

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-5.384279	FISHER 4th Cent. Mom.	289.928737
FISHER beta 1	0.031084	FISHER beta 2	3.037212
FISHER gamma 1	-0.176305	FISHER gamma 2	0.037212
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.788461	FISHER Test 2	0.083208
FISHER Test 1 Probability	0.429600	FISHER Test 2 Probability	0.928200
Pearson 2	0.330951
Yule using Quartile definition:Weighted Average at Xnp	0.213621
Yule using Quartile definition:Weighted Average at X(n+1)p	0.219252
Yule using Quartile definition:Empirical Distribution Function	0.213621
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.221349
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.223462
Yule using Quartile definition:Closest Observation	0.213621
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.223462
Yule using Quartile definition:MS Excel (old versions)	0.217169
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.178545	Kurtosis (small sample)	0.090527
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.808340	TEST 1 (small sample)	0.206526
TEST 1 Prob. (small sample)	0.418000	TEST 1 Prob. (small sample)	0.833600
Observations	120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-5.384279 & FISHER 4th Cent. Mom.

289.928737 \tabularnewline FISHER beta 1

0.031084 & FISHER beta 2

3.037212 \tabularnewline FISHER gamma 1

-0.176305 & FISHER gamma 2

0.037212 \tabularnewline FISHER gamma 1 (S.E.)

0.223607 & FISHER gamma 2 (S.E.)

0.447214 \tabularnewline FISHER Test 1

-0.788461 & FISHER Test 2

0.083208 \tabularnewline FISHER Test 1 Probability

0.429600 & FISHER Test 2 Probability

0.928200 \tabularnewline Pearson 2

0.330951 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

0.213621 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.219252 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.213621 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.221349 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.223462 & & \tabularnewline Yule using Quartile definition:Closest Observation

0.213621 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.223462 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.217169 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.178545 & Kurtosis (small sample)

0.090527 \tabularnewline Skewness S.E. (small sample)

0.220879 & Kurtosis S.E. (small sample)

0.438331 \tabularnewline TEST 1 (small sample)

-0.808340 & TEST 1 (small sample)

0.206526 \tabularnewline TEST 1 Prob. (small sample)

0.418000 & TEST 1 Prob. (small sample)

0.833600 \tabularnewline Observations

120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103555&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]

-5.384279[/C][C]FISHER 4th Cent. Mom.[/C]

289.928737[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.031084[/C][C]FISHER beta 2[/C]

3.037212[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.176305[/C][C]FISHER gamma 2[/C]

0.037212[/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]

-0.788461[/C][C]FISHER Test 2[/C]

0.083208[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.429600[/C][C]FISHER Test 2 Probability[/C]

0.928200[/C][/ROW] [ROW][C]Pearson 2[/C]

0.330951[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

0.213621[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.219252[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.213621[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.221349[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.223462[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

0.213621[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.223462[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.217169[/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]

-0.178545[/C][C]Kurtosis (small sample)[/C]

0.090527[/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]

-0.808340[/C][C]TEST 1 (small sample)[/C]

0.206526[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.418000[/C][C]TEST 1 Prob. (small sample)[/C]

0.833600[/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=103555&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103555&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.	-5.384279	FISHER 4th Cent. Mom.	289.928737
FISHER beta 1	0.031084	FISHER beta 2	3.037212
FISHER gamma 1	-0.176305	FISHER gamma 2	0.037212
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.788461	FISHER Test 2	0.083208
FISHER Test 1 Probability	0.429600	FISHER Test 2 Probability	0.928200
Pearson 2	0.330951
Yule using Quartile definition:Weighted Average at Xnp	0.213621
Yule using Quartile definition:Weighted Average at X(n+1)p	0.219252
Yule using Quartile definition:Empirical Distribution Function	0.213621
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.221349
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.223462
Yule using Quartile definition:Closest Observation	0.213621
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.223462
Yule using Quartile definition:MS Excel (old versions)	0.217169
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.178545	Kurtosis (small sample)	0.090527
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.808340	TEST 1 (small sample)	0.206526
TEST 1 Prob. (small sample)	0.418000	TEST 1 Prob. (small sample)	0.833600
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)	-0.178500	0.418000	Trim. Kurtosis (0/120)	0.090500	0.833600
Trim. Skewness (1/120)	0.009200	0.960200	Trim. Kurtosis (1/120)	-0.396600	0.368200
Trim. Skewness (2/120)	0.154400	0.490200	Trim. Kurtosis (2/120)	-0.764500	0.085400
Trim. Skewness (3/120)	0.158800	0.477600	Trim. Kurtosis (3/120)	-0.785000	0.080200
Trim. Skewness (4/120)	0.163800	0.471600	Trim. Kurtosis (4/120)	-0.821700	0.068800
Trim. Skewness (5/120)	0.158200	0.490200	Trim. Kurtosis (5/120)	-0.868000	0.057400
Trim. Skewness (6/120)	0.148400	0.522200	Trim. Kurtosis (6/120)	-0.898400	0.051200
Trim. Skewness (7/120)	0.137300	0.555200	Trim. Kurtosis (7/120)	-0.920900	0.047800
Trim. Skewness (8/120)	0.126100	0.589200	Trim. Kurtosis (8/120)	-0.936800	0.045600
Trim. Skewness (9/120)	0.118100	0.617000	Trim. Kurtosis (9/120)	-0.955600	0.043400
Trim. Skewness (10/120)	0.101800	0.667200	Trim. Kurtosis (10/120)	-0.987400	0.038400
Trim. Skewness (11/120)	0.081500	0.733800	Trim. Kurtosis (11/120)	-1.027700	0.033200
Trim. Skewness (12/120)	0.076400	0.749000	Trim. Kurtosis (12/120)	-1.049300	0.030800
Trim. Skewness (13/120)	0.078000	0.749000	Trim. Kurtosis (13/120)	-1.060600	0.030800
Trim. Skewness (14/120)	0.079300	0.749000	Trim. Kurtosis (14/120)	-1.075500	0.030000
Trim. Skewness (15/120)	0.074800	0.764200	Trim. Kurtosis (15/120)	-1.095700	0.029200
Trim. Skewness (16/120)	0.067500	0.787200	Trim. Kurtosis (16/120)	-1.129300	0.025800
Trim. Skewness (17/120)	0.073500	0.771800	Trim. Kurtosis (17/120)	-1.142900	0.025800
Trim. Skewness (18/120)	0.076700	0.764200	Trim. Kurtosis (18/120)	-1.165700	0.024400
Trim. Skewness (19/120)	0.089800	0.733800	Trim. Kurtosis (19/120)	-1.189200	0.023200
Trim. Skewness (20/120)	0.103000	0.696600	Trim. Kurtosis (20/120)	-1.216100	0.022000
Trim. Skewness (21/120)	0.111700	0.674400	Trim. Kurtosis (21/120)	-1.255200	0.019200
Trim. Skewness (22/120)	0.125600	0.645600	Trim. Kurtosis (22/120)	-1.293100	0.017400
Trim. Skewness (23/120)	0.138600	0.617000	Trim. Kurtosis (23/120)	-1.350900	0.014200
Trim. Skewness (24/120)	0.148200	0.596200	Trim. Kurtosis (24/120)	-1.390300	0.012800
Trim. Skewness (25/120)	0.165100	0.562000	Trim. Kurtosis (25/120)	-1.401600	0.013200
Trim. Skewness (26/120)	0.168900	0.555200	Trim. Kurtosis (26/120)	-1.403100	0.014200
Trim. Skewness (27/120)	0.174000	0.555200	Trim. Kurtosis (27/120)	-1.403500	0.015600
Trim. Skewness (28/120)	0.182700	0.535200	Trim. Kurtosis (28/120)	-1.405200	0.017400
Trim. Skewness (29/120)	0.190500	0.528600	Trim. Kurtosis (29/120)	-1.399300	0.019200
Trim. Skewness (30/120)	0.196100	0.522200	Trim. Kurtosis (30/120)	-1.388100	0.022000
Trim. Skewness (31/120)	0.200100	0.522200	Trim. Kurtosis (31/120)	-1.379000	0.025000
Trim. Skewness (32/120)	0.198600	0.528600	Trim. Kurtosis (32/120)	-1.373900	0.028600
Trim. Skewness (33/120)	0.200400	0.535200	Trim. Kurtosis (33/120)	-1.366100	0.032400
Trim. Skewness (34/120)	0.203500	0.535200	Trim. Kurtosis (34/120)	-1.353300	0.036600
Trim. Skewness (35/120)	0.202400	0.541800	Trim. Kurtosis (35/120)	-1.343000	0.042400
Trim. Skewness (36/120)	0.206800	0.541800	Trim. Kurtosis (36/120)	-1.326400	0.048800
Trim. Skewness (37/120)	0.211200	0.541800	Trim. Kurtosis (37/120)	-1.309300	0.056200
Trim. Skewness (38/120)	0.211200	0.548400	Trim. Kurtosis (38/120)	-1.291300	0.064400
Trim. Skewness (39/120)	0.207500	0.568600	Trim. Kurtosis (39/120)	-1.285000	0.071800
Trim. Skewness (40/120)	0.210200	0.568600	Trim. Kurtosis (40/120)	-1.255000	0.085400

\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)

-0.178500

0.418000 & Trim. Kurtosis (0/120)

0.090500

0.833600 \tabularnewline Trim. Skewness (1/120)

0.009200

0.960200 & Trim. Kurtosis (1/120)

-0.396600

0.368200 \tabularnewline Trim. Skewness (2/120)

0.154400

0.490200 & Trim. Kurtosis (2/120)

-0.764500

0.085400 \tabularnewline Trim. Skewness (3/120)

0.158800

0.477600 & Trim. Kurtosis (3/120)

-0.785000

0.080200 \tabularnewline Trim. Skewness (4/120)

0.163800

0.471600 & Trim. Kurtosis (4/120)

-0.821700

0.068800 \tabularnewline Trim. Skewness (5/120)

0.158200

0.490200 & Trim. Kurtosis (5/120)

-0.868000

0.057400 \tabularnewline Trim. Skewness (6/120)

0.148400

0.522200 & Trim. Kurtosis (6/120)

-0.898400

0.051200 \tabularnewline Trim. Skewness (7/120)

0.137300

0.555200 & Trim. Kurtosis (7/120)

-0.920900

0.047800 \tabularnewline Trim. Skewness (8/120)

0.126100

0.589200 & Trim. Kurtosis (8/120)

-0.936800

0.045600 \tabularnewline Trim. Skewness (9/120)

0.118100

0.617000 & Trim. Kurtosis (9/120)

-0.955600

0.043400 \tabularnewline Trim. Skewness (10/120)

0.101800

0.667200 & Trim. Kurtosis (10/120)

-0.987400

0.038400 \tabularnewline Trim. Skewness (11/120)

0.081500

0.733800 & Trim. Kurtosis (11/120)

-1.027700

0.033200 \tabularnewline Trim. Skewness (12/120)

0.076400

0.749000 & Trim. Kurtosis (12/120)

-1.049300

0.030800 \tabularnewline Trim. Skewness (13/120)

0.078000

0.749000 & Trim. Kurtosis (13/120)

-1.060600

0.030800 \tabularnewline Trim. Skewness (14/120)

0.079300

0.749000 & Trim. Kurtosis (14/120)

-1.075500

0.030000 \tabularnewline Trim. Skewness (15/120)

0.074800

0.764200 & Trim. Kurtosis (15/120)

-1.095700

0.029200 \tabularnewline Trim. Skewness (16/120)

0.067500

0.787200 & Trim. Kurtosis (16/120)

-1.129300

0.025800 \tabularnewline Trim. Skewness (17/120)

0.073500

0.771800 & Trim. Kurtosis (17/120)

-1.142900

0.025800 \tabularnewline Trim. Skewness (18/120)

0.076700

0.764200 & Trim. Kurtosis (18/120)

-1.165700

0.024400 \tabularnewline Trim. Skewness (19/120)

0.089800

0.733800 & Trim. Kurtosis (19/120)

-1.189200

0.023200 \tabularnewline Trim. Skewness (20/120)

0.103000

0.696600 & Trim. Kurtosis (20/120)

-1.216100

0.022000 \tabularnewline Trim. Skewness (21/120)

0.111700

0.674400 & Trim. Kurtosis (21/120)

-1.255200

0.019200 \tabularnewline Trim. Skewness (22/120)

0.125600

0.645600 & Trim. Kurtosis (22/120)

-1.293100

0.017400 \tabularnewline Trim. Skewness (23/120)

0.138600

0.617000 & Trim. Kurtosis (23/120)

-1.350900

0.014200 \tabularnewline Trim. Skewness (24/120)

0.148200

0.596200 & Trim. Kurtosis (24/120)

-1.390300

0.012800 \tabularnewline Trim. Skewness (25/120)

0.165100

0.562000 & Trim. Kurtosis (25/120)

-1.401600

0.013200 \tabularnewline Trim. Skewness (26/120)

0.168900

0.555200 & Trim. Kurtosis (26/120)

-1.403100

0.014200 \tabularnewline Trim. Skewness (27/120)

0.174000

0.555200 & Trim. Kurtosis (27/120)

-1.403500

0.015600 \tabularnewline Trim. Skewness (28/120)

0.182700

0.535200 & Trim. Kurtosis (28/120)

-1.405200

0.017400 \tabularnewline Trim. Skewness (29/120)

0.190500

0.528600 & Trim. Kurtosis (29/120)

-1.399300

0.019200 \tabularnewline Trim. Skewness (30/120)

0.196100

0.522200 & Trim. Kurtosis (30/120)

-1.388100

0.022000 \tabularnewline Trim. Skewness (31/120)

0.200100

0.522200 & Trim. Kurtosis (31/120)

-1.379000

0.025000 \tabularnewline Trim. Skewness (32/120)

0.198600

0.528600 & Trim. Kurtosis (32/120)

-1.373900

0.028600 \tabularnewline Trim. Skewness (33/120)

0.200400

0.535200 & Trim. Kurtosis (33/120)

-1.366100

0.032400 \tabularnewline Trim. Skewness (34/120)

0.203500

0.535200 & Trim. Kurtosis (34/120)

-1.353300

0.036600 \tabularnewline Trim. Skewness (35/120)

0.202400

0.541800 & Trim. Kurtosis (35/120)

-1.343000

0.042400 \tabularnewline Trim. Skewness (36/120)

0.206800

0.541800 & Trim. Kurtosis (36/120)

-1.326400

0.048800 \tabularnewline Trim. Skewness (37/120)

0.211200

0.541800 & Trim. Kurtosis (37/120)

-1.309300

0.056200 \tabularnewline Trim. Skewness (38/120)

0.211200

0.548400 & Trim. Kurtosis (38/120)

-1.291300

0.064400 \tabularnewline Trim. Skewness (39/120)

0.207500

0.568600 & Trim. Kurtosis (39/120)

-1.285000

0.071800 \tabularnewline Trim. Skewness (40/120)

0.210200

0.568600 & Trim. Kurtosis (40/120)

-1.255000

0.085400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103555&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]

-0.178500[/C]

0.418000[/C][C]Trim. Kurtosis (0/120)[/C]

0.090500[/C]

0.833600[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]

0.009200[/C]

0.960200[/C][C]Trim. Kurtosis (1/120)[/C]

-0.396600[/C]

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

0.154400[/C]

0.490200[/C][C]Trim. Kurtosis (2/120)[/C]

-0.764500[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]

0.158800[/C]

0.477600[/C][C]Trim. Kurtosis (3/120)[/C]

-0.785000[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]

0.163800[/C]

0.471600[/C][C]Trim. Kurtosis (4/120)[/C]

-0.821700[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]

0.158200[/C]

0.490200[/C][C]Trim. Kurtosis (5/120)[/C]

-0.868000[/C]

0.057400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]

0.148400[/C]

0.522200[/C][C]Trim. Kurtosis (6/120)[/C]

-0.898400[/C]

0.051200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]

0.137300[/C]

0.555200[/C][C]Trim. Kurtosis (7/120)[/C]

-0.920900[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]

0.126100[/C]

0.589200[/C][C]Trim. Kurtosis (8/120)[/C]

-0.936800[/C]

0.045600[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]

0.118100[/C]

0.617000[/C][C]Trim. Kurtosis (9/120)[/C]

-0.955600[/C]

0.043400[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]

0.101800[/C]

0.667200[/C][C]Trim. Kurtosis (10/120)[/C]

-0.987400[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]

0.081500[/C]

0.733800[/C][C]Trim. Kurtosis (11/120)[/C]

-1.027700[/C]

0.033200[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]

0.076400[/C]

0.749000[/C][C]Trim. Kurtosis (12/120)[/C]

-1.049300[/C]

0.030800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]

0.078000[/C]

0.749000[/C][C]Trim. Kurtosis (13/120)[/C]

-1.060600[/C]

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

0.079300[/C]

0.749000[/C][C]Trim. Kurtosis (14/120)[/C]

-1.075500[/C]

0.030000[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]

0.074800[/C]

0.764200[/C][C]Trim. Kurtosis (15/120)[/C]

-1.095700[/C]

0.029200[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]

0.067500[/C]

0.787200[/C][C]Trim. Kurtosis (16/120)[/C]

-1.129300[/C]

0.025800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]

0.073500[/C]

0.771800[/C][C]Trim. Kurtosis (17/120)[/C]

-1.142900[/C]

0.025800[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]

0.076700[/C]

0.764200[/C][C]Trim. Kurtosis (18/120)[/C]

-1.165700[/C]

0.024400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]

0.089800[/C]

0.733800[/C][C]Trim. Kurtosis (19/120)[/C]

-1.189200[/C]

0.023200[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]

0.103000[/C]

0.696600[/C][C]Trim. Kurtosis (20/120)[/C]

-1.216100[/C]

0.022000[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]

0.111700[/C]

0.674400[/C][C]Trim. Kurtosis (21/120)[/C]

-1.255200[/C]

0.019200[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]

0.125600[/C]

0.645600[/C][C]Trim. Kurtosis (22/120)[/C]

-1.293100[/C]

0.017400[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]

0.138600[/C]

0.617000[/C][C]Trim. Kurtosis (23/120)[/C]

-1.350900[/C]

0.014200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]

0.148200[/C]

0.596200[/C][C]Trim. Kurtosis (24/120)[/C]

-1.390300[/C]

0.012800[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]

0.165100[/C]

0.562000[/C][C]Trim. Kurtosis (25/120)[/C]

-1.401600[/C]

0.013200[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]

0.168900[/C]

0.555200[/C][C]Trim. Kurtosis (26/120)[/C]

-1.403100[/C]

0.014200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]

0.174000[/C]

0.555200[/C][C]Trim. Kurtosis (27/120)[/C]

-1.403500[/C]

0.015600[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]

0.182700[/C]

0.535200[/C][C]Trim. Kurtosis (28/120)[/C]

-1.405200[/C]

0.017400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]

0.190500[/C]

0.528600[/C][C]Trim. Kurtosis (29/120)[/C]

-1.399300[/C]

0.019200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]

0.196100[/C]

0.522200[/C][C]Trim. Kurtosis (30/120)[/C]

-1.388100[/C]

0.022000[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]

0.200100[/C]

0.522200[/C][C]Trim. Kurtosis (31/120)[/C]

-1.379000[/C]

0.025000[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]

0.198600[/C]

0.528600[/C][C]Trim. Kurtosis (32/120)[/C]

-1.373900[/C]

0.028600[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]

0.200400[/C]

0.535200[/C][C]Trim. Kurtosis (33/120)[/C]

-1.366100[/C]

0.032400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]

0.203500[/C]

0.535200[/C][C]Trim. Kurtosis (34/120)[/C]

-1.353300[/C]

0.036600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]

0.202400[/C]

0.541800[/C][C]Trim. Kurtosis (35/120)[/C]

-1.343000[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]

0.206800[/C]

0.541800[/C][C]Trim. Kurtosis (36/120)[/C]

-1.326400[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]

0.211200[/C]

0.541800[/C][C]Trim. Kurtosis (37/120)[/C]

-1.309300[/C]

0.056200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]

0.211200[/C]

0.548400[/C][C]Trim. Kurtosis (38/120)[/C]

-1.291300[/C]

0.064400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]

0.207500[/C]

0.568600[/C][C]Trim. Kurtosis (39/120)[/C]

-1.285000[/C]

0.071800[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]

0.210200[/C]

0.568600[/C][C]Trim. Kurtosis (40/120)[/C]

-1.255000[/C]

0.085400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103555&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103555&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)	-0.178500	0.418000	Trim. Kurtosis (0/120)	0.090500	0.833600
Trim. Skewness (1/120)	0.009200	0.960200	Trim. Kurtosis (1/120)	-0.396600	0.368200
Trim. Skewness (2/120)	0.154400	0.490200	Trim. Kurtosis (2/120)	-0.764500	0.085400
Trim. Skewness (3/120)	0.158800	0.477600	Trim. Kurtosis (3/120)	-0.785000	0.080200
Trim. Skewness (4/120)	0.163800	0.471600	Trim. Kurtosis (4/120)	-0.821700	0.068800
Trim. Skewness (5/120)	0.158200	0.490200	Trim. Kurtosis (5/120)	-0.868000	0.057400
Trim. Skewness (6/120)	0.148400	0.522200	Trim. Kurtosis (6/120)	-0.898400	0.051200
Trim. Skewness (7/120)	0.137300	0.555200	Trim. Kurtosis (7/120)	-0.920900	0.047800
Trim. Skewness (8/120)	0.126100	0.589200	Trim. Kurtosis (8/120)	-0.936800	0.045600
Trim. Skewness (9/120)	0.118100	0.617000	Trim. Kurtosis (9/120)	-0.955600	0.043400
Trim. Skewness (10/120)	0.101800	0.667200	Trim. Kurtosis (10/120)	-0.987400	0.038400
Trim. Skewness (11/120)	0.081500	0.733800	Trim. Kurtosis (11/120)	-1.027700	0.033200
Trim. Skewness (12/120)	0.076400	0.749000	Trim. Kurtosis (12/120)	-1.049300	0.030800
Trim. Skewness (13/120)	0.078000	0.749000	Trim. Kurtosis (13/120)	-1.060600	0.030800
Trim. Skewness (14/120)	0.079300	0.749000	Trim. Kurtosis (14/120)	-1.075500	0.030000
Trim. Skewness (15/120)	0.074800	0.764200	Trim. Kurtosis (15/120)	-1.095700	0.029200
Trim. Skewness (16/120)	0.067500	0.787200	Trim. Kurtosis (16/120)	-1.129300	0.025800
Trim. Skewness (17/120)	0.073500	0.771800	Trim. Kurtosis (17/120)	-1.142900	0.025800
Trim. Skewness (18/120)	0.076700	0.764200	Trim. Kurtosis (18/120)	-1.165700	0.024400
Trim. Skewness (19/120)	0.089800	0.733800	Trim. Kurtosis (19/120)	-1.189200	0.023200
Trim. Skewness (20/120)	0.103000	0.696600	Trim. Kurtosis (20/120)	-1.216100	0.022000
Trim. Skewness (21/120)	0.111700	0.674400	Trim. Kurtosis (21/120)	-1.255200	0.019200
Trim. Skewness (22/120)	0.125600	0.645600	Trim. Kurtosis (22/120)	-1.293100	0.017400
Trim. Skewness (23/120)	0.138600	0.617000	Trim. Kurtosis (23/120)	-1.350900	0.014200
Trim. Skewness (24/120)	0.148200	0.596200	Trim. Kurtosis (24/120)	-1.390300	0.012800
Trim. Skewness (25/120)	0.165100	0.562000	Trim. Kurtosis (25/120)	-1.401600	0.013200
Trim. Skewness (26/120)	0.168900	0.555200	Trim. Kurtosis (26/120)	-1.403100	0.014200
Trim. Skewness (27/120)	0.174000	0.555200	Trim. Kurtosis (27/120)	-1.403500	0.015600
Trim. Skewness (28/120)	0.182700	0.535200	Trim. Kurtosis (28/120)	-1.405200	0.017400
Trim. Skewness (29/120)	0.190500	0.528600	Trim. Kurtosis (29/120)	-1.399300	0.019200
Trim. Skewness (30/120)	0.196100	0.522200	Trim. Kurtosis (30/120)	-1.388100	0.022000
Trim. Skewness (31/120)	0.200100	0.522200	Trim. Kurtosis (31/120)	-1.379000	0.025000
Trim. Skewness (32/120)	0.198600	0.528600	Trim. Kurtosis (32/120)	-1.373900	0.028600
Trim. Skewness (33/120)	0.200400	0.535200	Trim. Kurtosis (33/120)	-1.366100	0.032400
Trim. Skewness (34/120)	0.203500	0.535200	Trim. Kurtosis (34/120)	-1.353300	0.036600
Trim. Skewness (35/120)	0.202400	0.541800	Trim. Kurtosis (35/120)	-1.343000	0.042400
Trim. Skewness (36/120)	0.206800	0.541800	Trim. Kurtosis (36/120)	-1.326400	0.048800
Trim. Skewness (37/120)	0.211200	0.541800	Trim. Kurtosis (37/120)	-1.309300	0.056200
Trim. Skewness (38/120)	0.211200	0.548400	Trim. Kurtosis (38/120)	-1.291300	0.064400
Trim. Skewness (39/120)	0.207500	0.568600	Trim. Kurtosis (39/120)	-1.285000	0.071800
Trim. Skewness (40/120)	0.210200	0.568600	Trim. Kurtosis (40/120)	-1.255000	0.085400

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