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Author

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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Mon, 29 Nov 2010 21:20:10 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/29/t1291065572419468a0x1ki54l.htm/, Retrieved Mon, 29 Apr 2024 11:45:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103132, Retrieved Mon, 29 Apr 2024 11:45:45 +0000

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Estimated Impact

112

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Skewness and Kurtosis] [] [2010-11-29 17:29:37] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D    [Skewness and Kurtosis] [] [2010-11-29 21:20:10] [5842cf9dd57f9603e676e11284d3404a] [Current]

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0.0118
-0.0035
0.0003
-0.0107
-0.0013
-0.0017
-0.0038
-0.0378
-0.0182
-0.0024
-0.0063
-0.0204
-0.0043
0.0058
0.0158
0.0268
-0.0073
0.029
-0.0165
0.0032
-0.022
0.0134
0.012
0.0004
0.0051
0.0054
-0.0226
-0.0001
-0.022
-0.0059
-0.0046
-0.0225
-0.0153
0.0153
-0.0243
-0.0085
-0.0163
-0.0097
0.0042
0.005
-0.052
-0.0279
0.0114
-0.0204
-0.0162
0.0167
0.04
0.0188
0.0143
-0.0056
0.0273
-0.004
-0.0015
-0.0052
0.0112
0.0262
-0.0027
0.0044
0.0148
-0.0179
-0.0296
0.028
0.0137
0.0324
-0.0125
-0.0046
-0.0194
0.0029
0.0204
0.0084
0.0142
0.0137
0.0261
-0.0353
0.0147
0.0104
0.0008
0.0261
-0.0112
-0.0068
0.0156
0.0012
0.0203
-0.012
0.0277
0.0237
0.0251
-0.0193
-0.0175
-0.0163
-0.019
0.0135
0.0219
0.0141
0.014
-0.0248
0.004
0.005
-0.0045
0.0091
-0.0101
0.0037
0.0097
-0.0032
-0.0088
-0.0017
0.004
-0.0123
0.0051
0.0037
-0.0022
0.0051
-0.03
-0.0067
-0.0156
0.0082
0.0085
-0.025
0.0092

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-0.000001	FISHER 4th Cent. Mom.	0.000000
FISHER beta 1	0.039909	FISHER beta 2	2.865744
FISHER gamma 1	-0.199773	FISHER gamma 2	-0.134256
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-0.889683	FISHER Test 2	-0.298952
FISHER Test 1 Probability	0.373400	FISHER Test 2 Probability	0.764200
Pearson 2	-0.063906
Yule using Quartile definition:Weighted Average at Xnp	-0.013306
Yule using Quartile definition:Weighted Average at X(n+1)p	0.031496
Yule using Quartile definition:Empirical Distribution Function	0.031496
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.031496
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.020576
Yule using Quartile definition:Closest Observation	-0.025000
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.031496
Yule using Quartile definition:MS Excel (old versions)	0.031496
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.202333	Kurtosis (small sample)	-0.087906
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-0.912304	TEST 1 (small sample)	-0.199743
TEST 1 Prob. (small sample)	0.357600	TEST 1 Prob. (small sample)	0.841400
Observations	119

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-0.000001 & FISHER 4th Cent. Mom.

0.000000 \tabularnewline FISHER beta 1

0.039909 & FISHER beta 2

2.865744 \tabularnewline FISHER gamma 1

-0.199773 & FISHER gamma 2

-0.134256 \tabularnewline FISHER gamma 1 (S.E.)

0.224544 & FISHER gamma 2 (S.E.)

0.449089 \tabularnewline FISHER Test 1

-0.889683 & FISHER Test 2

-0.298952 \tabularnewline FISHER Test 1 Probability

0.373400 & FISHER Test 2 Probability

0.764200 \tabularnewline Pearson 2

-0.063906 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.013306 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.031496 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.031496 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.031496 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.020576 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.025000 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.031496 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.031496 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.202333 & Kurtosis (small sample)

-0.087906 \tabularnewline Skewness S.E. (small sample)

0.221782 & Kurtosis S.E. (small sample)

0.440097 \tabularnewline TEST 1 (small sample)

-0.912304 & TEST 1 (small sample)

-0.199743 \tabularnewline TEST 1 Prob. (small sample)

0.357600 & TEST 1 Prob. (small sample)

0.841400 \tabularnewline Observations

119 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103132&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]

-0.000001[/C][C]FISHER 4th Cent. Mom.[/C]

0.000000[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.039909[/C][C]FISHER beta 2[/C]

2.865744[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.199773[/C][C]FISHER gamma 2[/C]

-0.134256[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]

0.224544[/C][C]FISHER gamma 2 (S.E.)[/C]

0.449089[/C][/ROW] [ROW][C]FISHER Test 1[/C]

-0.889683[/C][C]FISHER Test 2[/C]

-0.298952[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.373400[/C][C]FISHER Test 2 Probability[/C]

0.764200[/C][/ROW] [ROW][C]Pearson 2[/C]

-0.063906[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.013306[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.031496[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.031496[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.031496[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.020576[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.025000[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.031496[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.031496[/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]

-0.202333[/C][C]Kurtosis (small sample)[/C]

-0.087906[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]

0.221782[/C][C]Kurtosis S.E. (small sample)[/C]

0.440097[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]

-0.912304[/C][C]TEST 1 (small sample)[/C]

-0.199743[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.357600[/C][C]TEST 1 Prob. (small sample)[/C]

0.841400[/C][/ROW] [ROW][C]Observations[/C]

119[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103132&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103132&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.	-0.000001	FISHER 4th Cent. Mom.	0.000000
FISHER beta 1	0.039909	FISHER beta 2	2.865744
FISHER gamma 1	-0.199773	FISHER gamma 2	-0.134256
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-0.889683	FISHER Test 2	-0.298952
FISHER Test 1 Probability	0.373400	FISHER Test 2 Probability	0.764200
Pearson 2	-0.063906
Yule using Quartile definition:Weighted Average at Xnp	-0.013306
Yule using Quartile definition:Weighted Average at X(n+1)p	0.031496
Yule using Quartile definition:Empirical Distribution Function	0.031496
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.031496
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.020576
Yule using Quartile definition:Closest Observation	-0.025000
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.031496
Yule using Quartile definition:MS Excel (old versions)	0.031496
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.202333	Kurtosis (small sample)	-0.087906
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-0.912304	TEST 1 (small sample)	-0.199743
TEST 1 Prob. (small sample)	0.357600	TEST 1 Prob. (small sample)	0.841400
Observations	119

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)	Value	Probability	Kurtosis Measure (small sample)	Value	Probability
Trim. Skewness (0/119)	-0.202300	0.357600	Trim. Kurtosis (0/119)	-0.087900	0.841400
Trim. Skewness (1/119)	-0.099500	0.652800	Trim. Kurtosis (1/119)	-0.617000	0.161600
Trim. Skewness (2/119)	-0.071600	0.749000	Trim. Kurtosis (2/119)	-0.717600	0.107400
Trim. Skewness (3/119)	-0.035800	0.872800	Trim. Kurtosis (3/119)	-0.789100	0.080200
Trim. Skewness (4/119)	-0.026000	0.904400	Trim. Kurtosis (4/119)	-0.801400	0.076800
Trim. Skewness (5/119)	-0.014500	0.944200	Trim. Kurtosis (5/119)	-0.824900	0.071800
Trim. Skewness (6/119)	-0.009600	0.960200	Trim. Kurtosis (6/119)	-0.844400	0.067200
Trim. Skewness (7/119)	-0.019300	0.928200	Trim. Kurtosis (7/119)	-0.846900	0.068800
Trim. Skewness (8/119)	-0.028200	0.904400	Trim. Kurtosis (8/119)	-0.855200	0.068800
Trim. Skewness (9/119)	-0.042000	0.857200	Trim. Kurtosis (9/119)	-0.875200	0.065800
Trim. Skewness (10/119)	-0.071000	0.764200	Trim. Kurtosis (10/119)	-0.901600	0.060200
Trim. Skewness (11/119)	-0.098500	0.681800	Trim. Kurtosis (11/119)	-0.934100	0.053600
Trim. Skewness (12/119)	-0.122500	0.617000	Trim. Kurtosis (12/119)	-0.962400	0.048800
Trim. Skewness (13/119)	-0.134400	0.589200	Trim. Kurtosis (13/119)	-0.986100	0.045600
Trim. Skewness (14/119)	-0.147400	0.555200	Trim. Kurtosis (14/119)	-0.988200	0.047800
Trim. Skewness (15/119)	-0.162000	0.522200	Trim. Kurtosis (15/119)	-1.004600	0.046600
Trim. Skewness (16/119)	-0.173100	0.496400	Trim. Kurtosis (16/119)	-1.004600	0.048800
Trim. Skewness (17/119)	-0.168500	0.515600	Trim. Kurtosis (17/119)	-0.995400	0.053600
Trim. Skewness (18/119)	-0.157300	0.548400	Trim. Kurtosis (18/119)	-0.985500	0.058800
Trim. Skewness (19/119)	-0.148500	0.575400	Trim. Kurtosis (19/119)	-0.970100	0.065800
Trim. Skewness (20/119)	-0.136600	0.610000	Trim. Kurtosis (20/119)	-0.956900	0.073400
Trim. Skewness (21/119)	-0.120500	0.660000	Trim. Kurtosis (21/119)	-0.943600	0.080200
Trim. Skewness (22/119)	-0.109900	0.689200	Trim. Kurtosis (22/119)	-0.920100	0.093000
Trim. Skewness (23/119)	-0.093500	0.733800	Trim. Kurtosis (23/119)	-0.899000	0.105200
Trim. Skewness (24/119)	-0.069300	0.802600	Trim. Kurtosis (24/119)	-0.891500	0.111800
Trim. Skewness (25/119)	-0.035500	0.896600	Trim. Kurtosis (25/119)	-0.904400	0.111800
Trim. Skewness (26/119)	0.001200	0.992000	Trim. Kurtosis (26/119)	-0.929100	0.107400
Trim. Skewness (27/119)	0.051300	0.857200	Trim. Kurtosis (27/119)	-0.983900	0.093000
Trim. Skewness (28/119)	0.056600	0.849200	Trim. Kurtosis (28/119)	-0.978600	0.099000
Trim. Skewness (29/119)	0.063000	0.833600	Trim. Kurtosis (29/119)	-0.990200	0.101000
Trim. Skewness (30/119)	0.066200	0.825800	Trim. Kurtosis (30/119)	-1.031800	0.091000
Trim. Skewness (31/119)	0.082700	0.787200	Trim. Kurtosis (31/119)	-1.040400	0.095000
Trim. Skewness (32/119)	0.096400	0.764200	Trim. Kurtosis (32/119)	-1.061700	0.093000
Trim. Skewness (33/119)	0.107600	0.741400	Trim. Kurtosis (33/119)	-1.089200	0.089200
Trim. Skewness (34/119)	0.115000	0.726400	Trim. Kurtosis (34/119)	-1.148200	0.078400
Trim. Skewness (35/119)	0.119500	0.718800	Trim. Kurtosis (35/119)	-1.186100	0.075000
Trim. Skewness (36/119)	0.136800	0.689200	Trim. Kurtosis (36/119)	-1.228700	0.070200
Trim. Skewness (37/119)	0.133700	0.704000	Trim. Kurtosis (37/119)	-1.240600	0.073400
Trim. Skewness (38/119)	0.112300	0.749000	Trim. Kurtosis (38/119)	-1.274300	0.071800
Trim. Skewness (39/119)	0.099400	0.787200	Trim. Kurtosis (39/119)	-1.314100	0.068800
Trim. Skewness (40/119)	0.062600	0.865000	Trim. Kurtosis (40/119)	-1.404700	0.057400

\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 (0/119)

-0.202300

0.357600 & Trim. Kurtosis (0/119)

-0.087900

0.841400 \tabularnewline Trim. Skewness (1/119)

-0.099500

0.652800 & Trim. Kurtosis (1/119)

-0.617000

0.161600 \tabularnewline Trim. Skewness (2/119)

-0.071600

0.749000 & Trim. Kurtosis (2/119)

-0.717600

0.107400 \tabularnewline Trim. Skewness (3/119)

-0.035800

0.872800 & Trim. Kurtosis (3/119)

-0.789100

0.080200 \tabularnewline Trim. Skewness (4/119)

-0.026000

0.904400 & Trim. Kurtosis (4/119)

-0.801400

0.076800 \tabularnewline Trim. Skewness (5/119)

-0.014500

0.944200 & Trim. Kurtosis (5/119)

-0.824900

0.071800 \tabularnewline Trim. Skewness (6/119)

-0.009600

0.960200 & Trim. Kurtosis (6/119)

-0.844400

0.067200 \tabularnewline Trim. Skewness (7/119)

-0.019300

0.928200 & Trim. Kurtosis (7/119)

-0.846900

0.068800 \tabularnewline Trim. Skewness (8/119)

-0.028200

0.904400 & Trim. Kurtosis (8/119)

-0.855200

0.068800 \tabularnewline Trim. Skewness (9/119)

-0.042000

0.857200 & Trim. Kurtosis (9/119)

-0.875200

0.065800 \tabularnewline Trim. Skewness (10/119)

-0.071000

0.764200 & Trim. Kurtosis (10/119)

-0.901600

0.060200 \tabularnewline Trim. Skewness (11/119)

-0.098500

0.681800 & Trim. Kurtosis (11/119)

-0.934100

0.053600 \tabularnewline Trim. Skewness (12/119)

-0.122500

0.617000 & Trim. Kurtosis (12/119)

-0.962400

0.048800 \tabularnewline Trim. Skewness (13/119)

-0.134400

0.589200 & Trim. Kurtosis (13/119)

-0.986100

0.045600 \tabularnewline Trim. Skewness (14/119)

-0.147400

0.555200 & Trim. Kurtosis (14/119)

-0.988200

0.047800 \tabularnewline Trim. Skewness (15/119)

-0.162000

0.522200 & Trim. Kurtosis (15/119)

-1.004600

0.046600 \tabularnewline Trim. Skewness (16/119)

-0.173100

0.496400 & Trim. Kurtosis (16/119)

-1.004600

0.048800 \tabularnewline Trim. Skewness (17/119)

-0.168500

0.515600 & Trim. Kurtosis (17/119)

-0.995400

0.053600 \tabularnewline Trim. Skewness (18/119)

-0.157300

0.548400 & Trim. Kurtosis (18/119)

-0.985500

0.058800 \tabularnewline Trim. Skewness (19/119)

-0.148500

0.575400 & Trim. Kurtosis (19/119)

-0.970100

0.065800 \tabularnewline Trim. Skewness (20/119)

-0.136600

0.610000 & Trim. Kurtosis (20/119)

-0.956900

0.073400 \tabularnewline Trim. Skewness (21/119)

-0.120500

0.660000 & Trim. Kurtosis (21/119)

-0.943600

0.080200 \tabularnewline Trim. Skewness (22/119)

-0.109900

0.689200 & Trim. Kurtosis (22/119)

-0.920100

0.093000 \tabularnewline Trim. Skewness (23/119)

-0.093500

0.733800 & Trim. Kurtosis (23/119)

-0.899000

0.105200 \tabularnewline Trim. Skewness (24/119)

-0.069300

0.802600 & Trim. Kurtosis (24/119)

-0.891500

0.111800 \tabularnewline Trim. Skewness (25/119)

-0.035500

0.896600 & Trim. Kurtosis (25/119)

-0.904400

0.111800 \tabularnewline Trim. Skewness (26/119)

0.001200

0.992000 & Trim. Kurtosis (26/119)

-0.929100

0.107400 \tabularnewline Trim. Skewness (27/119)

0.051300

0.857200 & Trim. Kurtosis (27/119)

-0.983900

0.093000 \tabularnewline Trim. Skewness (28/119)

0.056600

0.849200 & Trim. Kurtosis (28/119)

-0.978600

0.099000 \tabularnewline Trim. Skewness (29/119)

0.063000

0.833600 & Trim. Kurtosis (29/119)

-0.990200

0.101000 \tabularnewline Trim. Skewness (30/119)

0.066200

0.825800 & Trim. Kurtosis (30/119)

-1.031800

0.091000 \tabularnewline Trim. Skewness (31/119)

0.082700

0.787200 & Trim. Kurtosis (31/119)

-1.040400

0.095000 \tabularnewline Trim. Skewness (32/119)

0.096400

0.764200 & Trim. Kurtosis (32/119)

-1.061700

0.093000 \tabularnewline Trim. Skewness (33/119)

0.107600

0.741400 & Trim. Kurtosis (33/119)

-1.089200

0.089200 \tabularnewline Trim. Skewness (34/119)

0.115000

0.726400 & Trim. Kurtosis (34/119)

-1.148200

0.078400 \tabularnewline Trim. Skewness (35/119)

0.119500

0.718800 & Trim. Kurtosis (35/119)

-1.186100

0.075000 \tabularnewline Trim. Skewness (36/119)

0.136800

0.689200 & Trim. Kurtosis (36/119)

-1.228700

0.070200 \tabularnewline Trim. Skewness (37/119)

0.133700

0.704000 & Trim. Kurtosis (37/119)

-1.240600

0.073400 \tabularnewline Trim. Skewness (38/119)

0.112300

0.749000 & Trim. Kurtosis (38/119)

-1.274300

0.071800 \tabularnewline Trim. Skewness (39/119)

0.099400

0.787200 & Trim. Kurtosis (39/119)

-1.314100

0.068800 \tabularnewline Trim. Skewness (40/119)

0.062600

0.865000 & Trim. Kurtosis (40/119)

-1.404700

0.057400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103132&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 (0/119)[/C]

-0.202300[/C]

0.357600[/C][C]Trim. Kurtosis (0/119)[/C]

-0.087900[/C]

0.841400[/C][/ROW] [ROW][C]Trim. Skewness (1/119)[/C]

-0.099500[/C]

0.652800[/C][C]Trim. Kurtosis (1/119)[/C]

-0.617000[/C]

0.161600[/C][/ROW] [ROW][C]Trim. Skewness (2/119)[/C]

-0.071600[/C]

0.749000[/C][C]Trim. Kurtosis (2/119)[/C]

-0.717600[/C]

0.107400[/C][/ROW] [ROW][C]Trim. Skewness (3/119)[/C]

-0.035800[/C]

0.872800[/C][C]Trim. Kurtosis (3/119)[/C]

-0.789100[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (4/119)[/C]

-0.026000[/C]

0.904400[/C][C]Trim. Kurtosis (4/119)[/C]

-0.801400[/C]

0.076800[/C][/ROW] [ROW][C]Trim. Skewness (5/119)[/C]

-0.014500[/C]

0.944200[/C][C]Trim. Kurtosis (5/119)[/C]

-0.824900[/C]

0.071800[/C][/ROW] [ROW][C]Trim. Skewness (6/119)[/C]

-0.009600[/C]

0.960200[/C][C]Trim. Kurtosis (6/119)[/C]

-0.844400[/C]

0.067200[/C][/ROW] [ROW][C]Trim. Skewness (7/119)[/C]

-0.019300[/C]

0.928200[/C][C]Trim. Kurtosis (7/119)[/C]

-0.846900[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (8/119)[/C]

-0.028200[/C]

0.904400[/C][C]Trim. Kurtosis (8/119)[/C]

-0.855200[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (9/119)[/C]

-0.042000[/C]

0.857200[/C][C]Trim. Kurtosis (9/119)[/C]

-0.875200[/C]

0.065800[/C][/ROW] [ROW][C]Trim. Skewness (10/119)[/C]

-0.071000[/C]

0.764200[/C][C]Trim. Kurtosis (10/119)[/C]

-0.901600[/C]

0.060200[/C][/ROW] [ROW][C]Trim. Skewness (11/119)[/C]

-0.098500[/C]

0.681800[/C][C]Trim. Kurtosis (11/119)[/C]

-0.934100[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (12/119)[/C]

-0.122500[/C]

0.617000[/C][C]Trim. Kurtosis (12/119)[/C]

-0.962400[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (13/119)[/C]

-0.134400[/C]

0.589200[/C][C]Trim. Kurtosis (13/119)[/C]

-0.986100[/C]

0.045600[/C][/ROW] [ROW][C]Trim. Skewness (14/119)[/C]

-0.147400[/C]

0.555200[/C][C]Trim. Kurtosis (14/119)[/C]

-0.988200[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (15/119)[/C]

-0.162000[/C]

0.522200[/C][C]Trim. Kurtosis (15/119)[/C]

-1.004600[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (16/119)[/C]

-0.173100[/C]

0.496400[/C][C]Trim. Kurtosis (16/119)[/C]

-1.004600[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (17/119)[/C]

-0.168500[/C]

0.515600[/C][C]Trim. Kurtosis (17/119)[/C]

-0.995400[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (18/119)[/C]

-0.157300[/C]

0.548400[/C][C]Trim. Kurtosis (18/119)[/C]

-0.985500[/C]

0.058800[/C][/ROW] [ROW][C]Trim. Skewness (19/119)[/C]

-0.148500[/C]

0.575400[/C][C]Trim. Kurtosis (19/119)[/C]

-0.970100[/C]

0.065800[/C][/ROW] [ROW][C]Trim. Skewness (20/119)[/C]

-0.136600[/C]

0.610000[/C][C]Trim. Kurtosis (20/119)[/C]

-0.956900[/C]

0.073400[/C][/ROW] [ROW][C]Trim. Skewness (21/119)[/C]

-0.120500[/C]

0.660000[/C][C]Trim. Kurtosis (21/119)[/C]

-0.943600[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (22/119)[/C]

-0.109900[/C]

0.689200[/C][C]Trim. Kurtosis (22/119)[/C]

-0.920100[/C]

0.093000[/C][/ROW] [ROW][C]Trim. Skewness (23/119)[/C]

-0.093500[/C]

0.733800[/C][C]Trim. Kurtosis (23/119)[/C]

-0.899000[/C]

0.105200[/C][/ROW] [ROW][C]Trim. Skewness (24/119)[/C]

-0.069300[/C]

0.802600[/C][C]Trim. Kurtosis (24/119)[/C]

-0.891500[/C]

0.111800[/C][/ROW] [ROW][C]Trim. Skewness (25/119)[/C]

-0.035500[/C]

0.896600[/C][C]Trim. Kurtosis (25/119)[/C]

-0.904400[/C]

0.111800[/C][/ROW] [ROW][C]Trim. Skewness (26/119)[/C]

0.001200[/C]

0.992000[/C][C]Trim. Kurtosis (26/119)[/C]

-0.929100[/C]

0.107400[/C][/ROW] [ROW][C]Trim. Skewness (27/119)[/C]

0.051300[/C]

0.857200[/C][C]Trim. Kurtosis (27/119)[/C]

-0.983900[/C]

0.093000[/C][/ROW] [ROW][C]Trim. Skewness (28/119)[/C]

0.056600[/C]

0.849200[/C][C]Trim. Kurtosis (28/119)[/C]

-0.978600[/C]

0.099000[/C][/ROW] [ROW][C]Trim. Skewness (29/119)[/C]

0.063000[/C]

0.833600[/C][C]Trim. Kurtosis (29/119)[/C]

-0.990200[/C]

0.101000[/C][/ROW] [ROW][C]Trim. Skewness (30/119)[/C]

0.066200[/C]

0.825800[/C][C]Trim. Kurtosis (30/119)[/C]

-1.031800[/C]

0.091000[/C][/ROW] [ROW][C]Trim. Skewness (31/119)[/C]

0.082700[/C]

0.787200[/C][C]Trim. Kurtosis (31/119)[/C]

-1.040400[/C]

0.095000[/C][/ROW] [ROW][C]Trim. Skewness (32/119)[/C]

0.096400[/C]

0.764200[/C][C]Trim. Kurtosis (32/119)[/C]

-1.061700[/C]

0.093000[/C][/ROW] [ROW][C]Trim. Skewness (33/119)[/C]

0.107600[/C]

0.741400[/C][C]Trim. Kurtosis (33/119)[/C]

-1.089200[/C]

0.089200[/C][/ROW] [ROW][C]Trim. Skewness (34/119)[/C]

0.115000[/C]

0.726400[/C][C]Trim. Kurtosis (34/119)[/C]

-1.148200[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (35/119)[/C]

0.119500[/C]

0.718800[/C][C]Trim. Kurtosis (35/119)[/C]

-1.186100[/C]

0.075000[/C][/ROW] [ROW][C]Trim. Skewness (36/119)[/C]

0.136800[/C]

0.689200[/C][C]Trim. Kurtosis (36/119)[/C]

-1.228700[/C]

0.070200[/C][/ROW] [ROW][C]Trim. Skewness (37/119)[/C]

0.133700[/C]

0.704000[/C][C]Trim. Kurtosis (37/119)[/C]

-1.240600[/C]

0.073400[/C][/ROW] [ROW][C]Trim. Skewness (38/119)[/C]

0.112300[/C]

0.749000[/C][C]Trim. Kurtosis (38/119)[/C]

-1.274300[/C]

0.071800[/C][/ROW] [ROW][C]Trim. Skewness (39/119)[/C]

0.099400[/C]

0.787200[/C][C]Trim. Kurtosis (39/119)[/C]

-1.314100[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (40/119)[/C]

0.062600[/C]

0.865000[/C][C]Trim. Kurtosis (40/119)[/C]

-1.404700[/C]

0.057400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103132&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103132&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 (0/119)	-0.202300	0.357600	Trim. Kurtosis (0/119)	-0.087900	0.841400
Trim. Skewness (1/119)	-0.099500	0.652800	Trim. Kurtosis (1/119)	-0.617000	0.161600
Trim. Skewness (2/119)	-0.071600	0.749000	Trim. Kurtosis (2/119)	-0.717600	0.107400
Trim. Skewness (3/119)	-0.035800	0.872800	Trim. Kurtosis (3/119)	-0.789100	0.080200
Trim. Skewness (4/119)	-0.026000	0.904400	Trim. Kurtosis (4/119)	-0.801400	0.076800
Trim. Skewness (5/119)	-0.014500	0.944200	Trim. Kurtosis (5/119)	-0.824900	0.071800
Trim. Skewness (6/119)	-0.009600	0.960200	Trim. Kurtosis (6/119)	-0.844400	0.067200
Trim. Skewness (7/119)	-0.019300	0.928200	Trim. Kurtosis (7/119)	-0.846900	0.068800
Trim. Skewness (8/119)	-0.028200	0.904400	Trim. Kurtosis (8/119)	-0.855200	0.068800
Trim. Skewness (9/119)	-0.042000	0.857200	Trim. Kurtosis (9/119)	-0.875200	0.065800
Trim. Skewness (10/119)	-0.071000	0.764200	Trim. Kurtosis (10/119)	-0.901600	0.060200
Trim. Skewness (11/119)	-0.098500	0.681800	Trim. Kurtosis (11/119)	-0.934100	0.053600
Trim. Skewness (12/119)	-0.122500	0.617000	Trim. Kurtosis (12/119)	-0.962400	0.048800
Trim. Skewness (13/119)	-0.134400	0.589200	Trim. Kurtosis (13/119)	-0.986100	0.045600
Trim. Skewness (14/119)	-0.147400	0.555200	Trim. Kurtosis (14/119)	-0.988200	0.047800
Trim. Skewness (15/119)	-0.162000	0.522200	Trim. Kurtosis (15/119)	-1.004600	0.046600
Trim. Skewness (16/119)	-0.173100	0.496400	Trim. Kurtosis (16/119)	-1.004600	0.048800
Trim. Skewness (17/119)	-0.168500	0.515600	Trim. Kurtosis (17/119)	-0.995400	0.053600
Trim. Skewness (18/119)	-0.157300	0.548400	Trim. Kurtosis (18/119)	-0.985500	0.058800
Trim. Skewness (19/119)	-0.148500	0.575400	Trim. Kurtosis (19/119)	-0.970100	0.065800
Trim. Skewness (20/119)	-0.136600	0.610000	Trim. Kurtosis (20/119)	-0.956900	0.073400
Trim. Skewness (21/119)	-0.120500	0.660000	Trim. Kurtosis (21/119)	-0.943600	0.080200
Trim. Skewness (22/119)	-0.109900	0.689200	Trim. Kurtosis (22/119)	-0.920100	0.093000
Trim. Skewness (23/119)	-0.093500	0.733800	Trim. Kurtosis (23/119)	-0.899000	0.105200
Trim. Skewness (24/119)	-0.069300	0.802600	Trim. Kurtosis (24/119)	-0.891500	0.111800
Trim. Skewness (25/119)	-0.035500	0.896600	Trim. Kurtosis (25/119)	-0.904400	0.111800
Trim. Skewness (26/119)	0.001200	0.992000	Trim. Kurtosis (26/119)	-0.929100	0.107400
Trim. Skewness (27/119)	0.051300	0.857200	Trim. Kurtosis (27/119)	-0.983900	0.093000
Trim. Skewness (28/119)	0.056600	0.849200	Trim. Kurtosis (28/119)	-0.978600	0.099000
Trim. Skewness (29/119)	0.063000	0.833600	Trim. Kurtosis (29/119)	-0.990200	0.101000
Trim. Skewness (30/119)	0.066200	0.825800	Trim. Kurtosis (30/119)	-1.031800	0.091000
Trim. Skewness (31/119)	0.082700	0.787200	Trim. Kurtosis (31/119)	-1.040400	0.095000
Trim. Skewness (32/119)	0.096400	0.764200	Trim. Kurtosis (32/119)	-1.061700	0.093000
Trim. Skewness (33/119)	0.107600	0.741400	Trim. Kurtosis (33/119)	-1.089200	0.089200
Trim. Skewness (34/119)	0.115000	0.726400	Trim. Kurtosis (34/119)	-1.148200	0.078400
Trim. Skewness (35/119)	0.119500	0.718800	Trim. Kurtosis (35/119)	-1.186100	0.075000
Trim. Skewness (36/119)	0.136800	0.689200	Trim. Kurtosis (36/119)	-1.228700	0.070200
Trim. Skewness (37/119)	0.133700	0.704000	Trim. Kurtosis (37/119)	-1.240600	0.073400
Trim. Skewness (38/119)	0.112300	0.749000	Trim. Kurtosis (38/119)	-1.274300	0.071800
Trim. Skewness (39/119)	0.099400	0.787200	Trim. Kurtosis (39/119)	-1.314100	0.068800
Trim. Skewness (40/119)	0.062600	0.865000	Trim. Kurtosis (40/119)	-1.404700	0.057400

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