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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 22:36:07 +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/t1291156455wjctan8j4ho8yx3.htm/, Retrieved Mon, 29 Apr 2024 08:29:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103851, Retrieved Mon, 29 Apr 2024 08:29:23 +0000

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Estimated Impact

204

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

-     [Skewness and Kurtosis] [] [2010-11-30 14:37:56] [8441f95c4a5787a301bc621ebc7904ca]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:36:07] [13dfa60174f50d862e8699db2153bfc5] [Current]

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0,015971494
-0,011906721
-0,016157395
0,028512726
0,0169053
-0,019849195
-0,003622414
-0,014627117
-0,016504427
0,03740357
-0,008405799
0,008738196
-0,017510926
0,022391694
0,033954219
-0,075869954
0,049653651
-0,003886952
-0,003025725
-0,01626338
-0,000515693
0,018483421
-0,045050874
0,05014956
-0,00354447
-0,025507282
-0,008032024
0,007797854
0,001897619
-0,00811659
0,02658053
-0,010421987
0,019783402
-0,072892946
0,017459367
0,036741149
-0,012089764
0,063494195
-0,070495835
0,011968843
0,024373143
-0,058820728
0,031634437
0,008863456
-0,005589474
-0,006404669
0,008598058
0,022390699
0,025038056
-0,032158105
-0,073007616
0,051291858
0,046313682
-0,105630214
0,020684592
0,02797123
-0,020100979
0,039346748
-0,025344304
0,042757966
-0,030236289
0,005928928
0,022119164
-0,069468701
0,072893824
-0,007049031
-0,071063321
0,109723377
-0,057925079
-0,046399549
0,03236546
-0,007714729
0,042769183
0,003312705
-0,003495846
-0,008433603
0,012219814
-0,00242316
-0,049132208
0,01188822
0,053706783
0,009482254
-0,040413928
-0,029415422
0,044705103
-0,012246682
-0,015807982
0,02584461
-0,021800907
0,037819721
0,035458925
-0,030545186
-0,053827844
0,037355235
0,009704886
0,001221198
-0,046328239
-0,033214164
0,093375616
-0,043327704
0,023892642
-0,023741833
-0,009736419
-0,012139125
0,021044894
0,056634303
-0,058029877
0,017343602
0,018672884
-0,044940594
0,041372096
-0,063994255
0,040505023
-0,032145018
0,023120128
0,021392203
-0,021278564
-0,031131709
0,060544595

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-0.000006	FISHER 4th Cent. Mom.	0.000006
FISHER beta 1	0.012469	FISHER beta 2	3.118605
FISHER gamma 1	-0.111666	FISHER gamma 2	0.118605
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-0.497302	FISHER Test 2	0.264100
FISHER Test 1 Probability	0.617000	FISHER Test 2 Probability	0.787200
Pearson 2	0.064130
Yule using Quartile definition:Weighted Average at Xnp	0.070146
Yule using Quartile definition:Weighted Average at X(n+1)p	0.091132
Yule using Quartile definition:Empirical Distribution Function	0.091132
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.091132
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.090761
Yule using Quartile definition:Closest Observation	0.078044
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.091132
Yule using Quartile definition:MS Excel (old versions)	0.091132
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.113097	Kurtosis (small sample)	0.175909
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-0.509946	TEST 1 (small sample)	0.399706
TEST 1 Prob. (small sample)	0.610000	TEST 1 Prob. (small sample)	0.689200
Observations	119

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-0.000006 & FISHER 4th Cent. Mom.

0.000006 \tabularnewline FISHER beta 1

0.012469 & FISHER beta 2

3.118605 \tabularnewline FISHER gamma 1

-0.111666 & FISHER gamma 2

0.118605 \tabularnewline FISHER gamma 1 (S.E.)

0.224544 & FISHER gamma 2 (S.E.)

0.449089 \tabularnewline FISHER Test 1

-0.497302 & FISHER Test 2

0.264100 \tabularnewline FISHER Test 1 Probability

0.617000 & FISHER Test 2 Probability

0.787200 \tabularnewline Pearson 2

0.064130 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

0.070146 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.091132 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.091132 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.091132 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.090761 & & \tabularnewline Yule using Quartile definition:Closest Observation

0.078044 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.091132 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.091132 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.113097 & Kurtosis (small sample)

0.175909 \tabularnewline Skewness S.E. (small sample)

0.221782 & Kurtosis S.E. (small sample)

0.440097 \tabularnewline TEST 1 (small sample)

-0.509946 & TEST 1 (small sample)

0.399706 \tabularnewline TEST 1 Prob. (small sample)

0.610000 & TEST 1 Prob. (small sample)

0.689200 \tabularnewline Observations

119 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103851&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]

-0.000006[/C][C]FISHER 4th Cent. Mom.[/C]

0.000006[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.012469[/C][C]FISHER beta 2[/C]

3.118605[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.111666[/C][C]FISHER gamma 2[/C]

0.118605[/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]

-0.497302[/C][C]FISHER Test 2[/C]

0.264100[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.617000[/C][C]FISHER Test 2 Probability[/C]

0.787200[/C][/ROW] [ROW][C]Pearson 2[/C]

0.064130[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

0.070146[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.091132[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.091132[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.091132[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.090761[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

0.078044[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.091132[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.091132[/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]

-0.113097[/C][C]Kurtosis (small sample)[/C]

0.175909[/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]

-0.509946[/C][C]TEST 1 (small sample)[/C]

0.399706[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.610000[/C][C]TEST 1 Prob. (small sample)[/C]

0.689200[/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=103851&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103851&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.	-0.000006	FISHER 4th Cent. Mom.	0.000006
FISHER beta 1	0.012469	FISHER beta 2	3.118605
FISHER gamma 1	-0.111666	FISHER gamma 2	0.118605
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-0.497302	FISHER Test 2	0.264100
FISHER Test 1 Probability	0.617000	FISHER Test 2 Probability	0.787200
Pearson 2	0.064130
Yule using Quartile definition:Weighted Average at Xnp	0.070146
Yule using Quartile definition:Weighted Average at X(n+1)p	0.091132
Yule using Quartile definition:Empirical Distribution Function	0.091132
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.091132
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.090761
Yule using Quartile definition:Closest Observation	0.078044
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.091132
Yule using Quartile definition:MS Excel (old versions)	0.091132
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.113097	Kurtosis (small sample)	0.175909
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-0.509946	TEST 1 (small sample)	0.399706
TEST 1 Prob. (small sample)	0.610000	TEST 1 Prob. (small sample)	0.689200
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)	-0.113100	0.610000	Trim. Kurtosis (0/119)	0.175900	0.689200
Trim. Skewness (1/119)	-0.161600	0.465400	Trim. Kurtosis (1/119)	-0.330600	0.453200
Trim. Skewness (2/119)	-0.258000	0.250200	Trim. Kurtosis (2/119)	-0.513000	0.250200
Trim. Skewness (3/119)	-0.289400	0.200600	Trim. Kurtosis (3/119)	-0.552800	0.218600
Trim. Skewness (4/119)	-0.293400	0.200600	Trim. Kurtosis (4/119)	-0.577300	0.204000
Trim. Skewness (5/119)	-0.292700	0.204000	Trim. Kurtosis (5/119)	-0.606300	0.183600
Trim. Skewness (6/119)	-0.278500	0.230200	Trim. Kurtosis (6/119)	-0.649800	0.158600
Trim. Skewness (7/119)	-0.252700	0.280200	Trim. Kurtosis (7/119)	-0.713500	0.126000
Trim. Skewness (8/119)	-0.233700	0.322200	Trim. Kurtosis (8/119)	-0.751600	0.109600
Trim. Skewness (9/119)	-0.225400	0.347200	Trim. Kurtosis (9/119)	-0.767700	0.105200
Trim. Skewness (10/119)	-0.214400	0.373400	Trim. Kurtosis (10/119)	-0.800400	0.095000
Trim. Skewness (11/119)	-0.186800	0.441200	Trim. Kurtosis (11/119)	-0.853400	0.078400
Trim. Skewness (12/119)	-0.164500	0.502800	Trim. Kurtosis (12/119)	-0.890000	0.068800
Trim. Skewness (13/119)	-0.150200	0.541800	Trim. Kurtosis (13/119)	-0.900000	0.068800
Trim. Skewness (14/119)	-0.143000	0.568600	Trim. Kurtosis (14/119)	-0.904700	0.070200
Trim. Skewness (15/119)	-0.127500	0.617000	Trim. Kurtosis (15/119)	-0.922400	0.067200
Trim. Skewness (16/119)	-0.109300	0.667200	Trim. Kurtosis (16/119)	-0.947500	0.062800
Trim. Skewness (17/119)	-0.079800	0.756600	Trim. Kurtosis (17/119)	-0.997000	0.053600
Trim. Skewness (18/119)	-0.043700	0.865000	Trim. Kurtosis (18/119)	-1.055900	0.042400
Trim. Skewness (19/119)	-0.013700	0.952200	Trim. Kurtosis (19/119)	-1.111300	0.034800
Trim. Skewness (20/119)	-0.017800	0.944200	Trim. Kurtosis (20/119)	-1.120100	0.035800
Trim. Skewness (21/119)	-0.025000	0.920400	Trim. Kurtosis (21/119)	-1.133700	0.035800
Trim. Skewness (22/119)	-0.026700	0.920400	Trim. Kurtosis (22/119)	-1.156700	0.034800
Trim. Skewness (23/119)	-0.025600	0.920400	Trim. Kurtosis (23/119)	-1.180500	0.033200
Trim. Skewness (24/119)	-0.017700	0.944200	Trim. Kurtosis (24/119)	-1.209300	0.031600
Trim. Skewness (25/119)	-0.004200	0.984000	Trim. Kurtosis (25/119)	-1.258200	0.027200
Trim. Skewness (26/119)	0.027100	0.920400	Trim. Kurtosis (26/119)	-1.303800	0.023800
Trim. Skewness (27/119)	0.039500	0.888600	Trim. Kurtosis (27/119)	-1.318200	0.024400
Trim. Skewness (28/119)	0.062800	0.833600	Trim. Kurtosis (28/119)	-1.339400	0.023800
Trim. Skewness (29/119)	0.084000	0.779400	Trim. Kurtosis (29/119)	-1.354400	0.024400
Trim. Skewness (30/119)	0.100200	0.741400	Trim. Kurtosis (30/119)	-1.356500	0.026400
Trim. Skewness (31/119)	0.120800	0.696600	Trim. Kurtosis (31/119)	-1.361200	0.028600
Trim. Skewness (32/119)	0.139800	0.660000	Trim. Kurtosis (32/119)	-1.362300	0.030800
Trim. Skewness (33/119)	0.167200	0.603000	Trim. Kurtosis (33/119)	-1.368800	0.033200
Trim. Skewness (34/119)	0.184300	0.575400	Trim. Kurtosis (34/119)	-1.354200	0.038400
Trim. Skewness (35/119)	0.195900	0.562000	Trim. Kurtosis (35/119)	-1.338800	0.044400
Trim. Skewness (36/119)	0.209100	0.541800	Trim. Kurtosis (36/119)	-1.328800	0.050000
Trim. Skewness (37/119)	0.230700	0.509200	Trim. Kurtosis (37/119)	-1.322500	0.056200
Trim. Skewness (38/119)	0.256900	0.471600	Trim. Kurtosis (38/119)	-1.327900	0.060200
Trim. Skewness (39/119)	0.276300	0.453200	Trim. Kurtosis (39/119)	-1.337500	0.064400
Trim. Skewness (40/119)	0.277600	0.459200	Trim. Kurtosis (40/119)	-1.324200	0.073400

\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)

-0.113100

0.610000 & Trim. Kurtosis (0/119)

0.175900

0.689200 \tabularnewline Trim. Skewness (1/119)

-0.161600

0.465400 & Trim. Kurtosis (1/119)

-0.330600

0.453200 \tabularnewline Trim. Skewness (2/119)

-0.258000

0.250200 & Trim. Kurtosis (2/119)

-0.513000

0.250200 \tabularnewline Trim. Skewness (3/119)

-0.289400

0.200600 & Trim. Kurtosis (3/119)

-0.552800

0.218600 \tabularnewline Trim. Skewness (4/119)

-0.293400

0.200600 & Trim. Kurtosis (4/119)

-0.577300

0.204000 \tabularnewline Trim. Skewness (5/119)

-0.292700

0.204000 & Trim. Kurtosis (5/119)

-0.606300

0.183600 \tabularnewline Trim. Skewness (6/119)

-0.278500

0.230200 & Trim. Kurtosis (6/119)

-0.649800

0.158600 \tabularnewline Trim. Skewness (7/119)

-0.252700

0.280200 & Trim. Kurtosis (7/119)

-0.713500

0.126000 \tabularnewline Trim. Skewness (8/119)

-0.233700

0.322200 & Trim. Kurtosis (8/119)

-0.751600

0.109600 \tabularnewline Trim. Skewness (9/119)

-0.225400

0.347200 & Trim. Kurtosis (9/119)

-0.767700

0.105200 \tabularnewline Trim. Skewness (10/119)

-0.214400

0.373400 & Trim. Kurtosis (10/119)

-0.800400

0.095000 \tabularnewline Trim. Skewness (11/119)

-0.186800

0.441200 & Trim. Kurtosis (11/119)

-0.853400

0.078400 \tabularnewline Trim. Skewness (12/119)

-0.164500

0.502800 & Trim. Kurtosis (12/119)

-0.890000

0.068800 \tabularnewline Trim. Skewness (13/119)

-0.150200

0.541800 & Trim. Kurtosis (13/119)

-0.900000

0.068800 \tabularnewline Trim. Skewness (14/119)

-0.143000

0.568600 & Trim. Kurtosis (14/119)

-0.904700

0.070200 \tabularnewline Trim. Skewness (15/119)

-0.127500

0.617000 & Trim. Kurtosis (15/119)

-0.922400

0.067200 \tabularnewline Trim. Skewness (16/119)

-0.109300

0.667200 & Trim. Kurtosis (16/119)

-0.947500

0.062800 \tabularnewline Trim. Skewness (17/119)

-0.079800

0.756600 & Trim. Kurtosis (17/119)

-0.997000

0.053600 \tabularnewline Trim. Skewness (18/119)

-0.043700

0.865000 & Trim. Kurtosis (18/119)

-1.055900

0.042400 \tabularnewline Trim. Skewness (19/119)

-0.013700

0.952200 & Trim. Kurtosis (19/119)

-1.111300

0.034800 \tabularnewline Trim. Skewness (20/119)

-0.017800

0.944200 & Trim. Kurtosis (20/119)

-1.120100

0.035800 \tabularnewline Trim. Skewness (21/119)

-0.025000

0.920400 & Trim. Kurtosis (21/119)

-1.133700

0.035800 \tabularnewline Trim. Skewness (22/119)

-0.026700

0.920400 & Trim. Kurtosis (22/119)

-1.156700

0.034800 \tabularnewline Trim. Skewness (23/119)

-0.025600

0.920400 & Trim. Kurtosis (23/119)

-1.180500

0.033200 \tabularnewline Trim. Skewness (24/119)

-0.017700

0.944200 & Trim. Kurtosis (24/119)

-1.209300

0.031600 \tabularnewline Trim. Skewness (25/119)

-0.004200

0.984000 & Trim. Kurtosis (25/119)

-1.258200

0.027200 \tabularnewline Trim. Skewness (26/119)

0.027100

0.920400 & Trim. Kurtosis (26/119)

-1.303800

0.023800 \tabularnewline Trim. Skewness (27/119)

0.039500

0.888600 & Trim. Kurtosis (27/119)

-1.318200

0.024400 \tabularnewline Trim. Skewness (28/119)

0.062800

0.833600 & Trim. Kurtosis (28/119)

-1.339400

0.023800 \tabularnewline Trim. Skewness (29/119)

0.084000

0.779400 & Trim. Kurtosis (29/119)

-1.354400

0.024400 \tabularnewline Trim. Skewness (30/119)

0.100200

0.741400 & Trim. Kurtosis (30/119)

-1.356500

0.026400 \tabularnewline Trim. Skewness (31/119)

0.120800

0.696600 & Trim. Kurtosis (31/119)

-1.361200

0.028600 \tabularnewline Trim. Skewness (32/119)

0.139800

0.660000 & Trim. Kurtosis (32/119)

-1.362300

0.030800 \tabularnewline Trim. Skewness (33/119)

0.167200

0.603000 & Trim. Kurtosis (33/119)

-1.368800

0.033200 \tabularnewline Trim. Skewness (34/119)

0.184300

0.575400 & Trim. Kurtosis (34/119)

-1.354200

0.038400 \tabularnewline Trim. Skewness (35/119)

0.195900

0.562000 & Trim. Kurtosis (35/119)

-1.338800

0.044400 \tabularnewline Trim. Skewness (36/119)

0.209100

0.541800 & Trim. Kurtosis (36/119)

-1.328800

0.050000 \tabularnewline Trim. Skewness (37/119)

0.230700

0.509200 & Trim. Kurtosis (37/119)

-1.322500

0.056200 \tabularnewline Trim. Skewness (38/119)

0.256900

0.471600 & Trim. Kurtosis (38/119)

-1.327900

0.060200 \tabularnewline Trim. Skewness (39/119)

0.276300

0.453200 & Trim. Kurtosis (39/119)

-1.337500

0.064400 \tabularnewline Trim. Skewness (40/119)

0.277600

0.459200 & Trim. Kurtosis (40/119)

-1.324200

0.073400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103851&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]

-0.113100[/C]

0.610000[/C][C]Trim. Kurtosis (0/119)[/C]

0.175900[/C]

0.689200[/C][/ROW] [ROW][C]Trim. Skewness (1/119)[/C]

-0.161600[/C]

0.465400[/C][C]Trim. Kurtosis (1/119)[/C]

-0.330600[/C]

0.453200[/C][/ROW] [ROW][C]Trim. Skewness (2/119)[/C]

-0.258000[/C]

0.250200[/C][C]Trim. Kurtosis (2/119)[/C]

-0.513000[/C]

0.250200[/C][/ROW] [ROW][C]Trim. Skewness (3/119)[/C]

-0.289400[/C]

0.200600[/C][C]Trim. Kurtosis (3/119)[/C]

-0.552800[/C]

0.218600[/C][/ROW] [ROW][C]Trim. Skewness (4/119)[/C]

-0.293400[/C]

0.200600[/C][C]Trim. Kurtosis (4/119)[/C]

-0.577300[/C]

0.204000[/C][/ROW] [ROW][C]Trim. Skewness (5/119)[/C]

-0.292700[/C]

0.204000[/C][C]Trim. Kurtosis (5/119)[/C]

-0.606300[/C]

0.183600[/C][/ROW] [ROW][C]Trim. Skewness (6/119)[/C]

-0.278500[/C]

0.230200[/C][C]Trim. Kurtosis (6/119)[/C]

-0.649800[/C]

0.158600[/C][/ROW] [ROW][C]Trim. Skewness (7/119)[/C]

-0.252700[/C]

0.280200[/C][C]Trim. Kurtosis (7/119)[/C]

-0.713500[/C]

0.126000[/C][/ROW] [ROW][C]Trim. Skewness (8/119)[/C]

-0.233700[/C]

0.322200[/C][C]Trim. Kurtosis (8/119)[/C]

-0.751600[/C]

0.109600[/C][/ROW] [ROW][C]Trim. Skewness (9/119)[/C]

-0.225400[/C]

0.347200[/C][C]Trim. Kurtosis (9/119)[/C]

-0.767700[/C]

0.105200[/C][/ROW] [ROW][C]Trim. Skewness (10/119)[/C]

-0.214400[/C]

0.373400[/C][C]Trim. Kurtosis (10/119)[/C]

-0.800400[/C]

0.095000[/C][/ROW] [ROW][C]Trim. Skewness (11/119)[/C]

-0.186800[/C]

0.441200[/C][C]Trim. Kurtosis (11/119)[/C]

-0.853400[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (12/119)[/C]

-0.164500[/C]

0.502800[/C][C]Trim. Kurtosis (12/119)[/C]

-0.890000[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (13/119)[/C]

-0.150200[/C]

0.541800[/C][C]Trim. Kurtosis (13/119)[/C]

-0.900000[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (14/119)[/C]

-0.143000[/C]

0.568600[/C][C]Trim. Kurtosis (14/119)[/C]

-0.904700[/C]

0.070200[/C][/ROW] [ROW][C]Trim. Skewness (15/119)[/C]

-0.127500[/C]

0.617000[/C][C]Trim. Kurtosis (15/119)[/C]

-0.922400[/C]

0.067200[/C][/ROW] [ROW][C]Trim. Skewness (16/119)[/C]

-0.109300[/C]

0.667200[/C][C]Trim. Kurtosis (16/119)[/C]

-0.947500[/C]

0.062800[/C][/ROW] [ROW][C]Trim. Skewness (17/119)[/C]

-0.079800[/C]

0.756600[/C][C]Trim. Kurtosis (17/119)[/C]

-0.997000[/C]

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

-0.043700[/C]

0.865000[/C][C]Trim. Kurtosis (18/119)[/C]

-1.055900[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (19/119)[/C]

-0.013700[/C]

0.952200[/C][C]Trim. Kurtosis (19/119)[/C]

-1.111300[/C]

0.034800[/C][/ROW] [ROW][C]Trim. Skewness (20/119)[/C]

-0.017800[/C]

0.944200[/C][C]Trim. Kurtosis (20/119)[/C]

-1.120100[/C]

0.035800[/C][/ROW] [ROW][C]Trim. Skewness (21/119)[/C]

-0.025000[/C]

0.920400[/C][C]Trim. Kurtosis (21/119)[/C]

-1.133700[/C]

0.035800[/C][/ROW] [ROW][C]Trim. Skewness (22/119)[/C]

-0.026700[/C]

0.920400[/C][C]Trim. Kurtosis (22/119)[/C]

-1.156700[/C]

0.034800[/C][/ROW] [ROW][C]Trim. Skewness (23/119)[/C]

-0.025600[/C]

0.920400[/C][C]Trim. Kurtosis (23/119)[/C]

-1.180500[/C]

0.033200[/C][/ROW] [ROW][C]Trim. Skewness (24/119)[/C]

-0.017700[/C]

0.944200[/C][C]Trim. Kurtosis (24/119)[/C]

-1.209300[/C]

0.031600[/C][/ROW] [ROW][C]Trim. Skewness (25/119)[/C]

-0.004200[/C]

0.984000[/C][C]Trim. Kurtosis (25/119)[/C]

-1.258200[/C]

0.027200[/C][/ROW] [ROW][C]Trim. Skewness (26/119)[/C]

0.027100[/C]

0.920400[/C][C]Trim. Kurtosis (26/119)[/C]

-1.303800[/C]

0.023800[/C][/ROW] [ROW][C]Trim. Skewness (27/119)[/C]

0.039500[/C]

0.888600[/C][C]Trim. Kurtosis (27/119)[/C]

-1.318200[/C]

0.024400[/C][/ROW] [ROW][C]Trim. Skewness (28/119)[/C]

0.062800[/C]

0.833600[/C][C]Trim. Kurtosis (28/119)[/C]

-1.339400[/C]

0.023800[/C][/ROW] [ROW][C]Trim. Skewness (29/119)[/C]

0.084000[/C]

0.779400[/C][C]Trim. Kurtosis (29/119)[/C]

-1.354400[/C]

0.024400[/C][/ROW] [ROW][C]Trim. Skewness (30/119)[/C]

0.100200[/C]

0.741400[/C][C]Trim. Kurtosis (30/119)[/C]

-1.356500[/C]

0.026400[/C][/ROW] [ROW][C]Trim. Skewness (31/119)[/C]

0.120800[/C]

0.696600[/C][C]Trim. Kurtosis (31/119)[/C]

-1.361200[/C]

0.028600[/C][/ROW] [ROW][C]Trim. Skewness (32/119)[/C]

0.139800[/C]

0.660000[/C][C]Trim. Kurtosis (32/119)[/C]

-1.362300[/C]

0.030800[/C][/ROW] [ROW][C]Trim. Skewness (33/119)[/C]

0.167200[/C]

0.603000[/C][C]Trim. Kurtosis (33/119)[/C]

-1.368800[/C]

0.033200[/C][/ROW] [ROW][C]Trim. Skewness (34/119)[/C]

0.184300[/C]

0.575400[/C][C]Trim. Kurtosis (34/119)[/C]

-1.354200[/C]

0.038400[/C][/ROW] [ROW][C]Trim. Skewness (35/119)[/C]

0.195900[/C]

0.562000[/C][C]Trim. Kurtosis (35/119)[/C]

-1.338800[/C]

0.044400[/C][/ROW] [ROW][C]Trim. Skewness (36/119)[/C]

0.209100[/C]

0.541800[/C][C]Trim. Kurtosis (36/119)[/C]

-1.328800[/C]

0.050000[/C][/ROW] [ROW][C]Trim. Skewness (37/119)[/C]

0.230700[/C]

0.509200[/C][C]Trim. Kurtosis (37/119)[/C]

-1.322500[/C]

0.056200[/C][/ROW] [ROW][C]Trim. Skewness (38/119)[/C]

0.256900[/C]

0.471600[/C][C]Trim. Kurtosis (38/119)[/C]

-1.327900[/C]

0.060200[/C][/ROW] [ROW][C]Trim. Skewness (39/119)[/C]

0.276300[/C]

0.453200[/C][C]Trim. Kurtosis (39/119)[/C]

-1.337500[/C]

0.064400[/C][/ROW] [ROW][C]Trim. Skewness (40/119)[/C]

0.277600[/C]

0.459200[/C][C]Trim. Kurtosis (40/119)[/C]

-1.324200[/C]

0.073400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103851&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103851&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)	-0.113100	0.610000	Trim. Kurtosis (0/119)	0.175900	0.689200
Trim. Skewness (1/119)	-0.161600	0.465400	Trim. Kurtosis (1/119)	-0.330600	0.453200
Trim. Skewness (2/119)	-0.258000	0.250200	Trim. Kurtosis (2/119)	-0.513000	0.250200
Trim. Skewness (3/119)	-0.289400	0.200600	Trim. Kurtosis (3/119)	-0.552800	0.218600
Trim. Skewness (4/119)	-0.293400	0.200600	Trim. Kurtosis (4/119)	-0.577300	0.204000
Trim. Skewness (5/119)	-0.292700	0.204000	Trim. Kurtosis (5/119)	-0.606300	0.183600
Trim. Skewness (6/119)	-0.278500	0.230200	Trim. Kurtosis (6/119)	-0.649800	0.158600
Trim. Skewness (7/119)	-0.252700	0.280200	Trim. Kurtosis (7/119)	-0.713500	0.126000
Trim. Skewness (8/119)	-0.233700	0.322200	Trim. Kurtosis (8/119)	-0.751600	0.109600
Trim. Skewness (9/119)	-0.225400	0.347200	Trim. Kurtosis (9/119)	-0.767700	0.105200
Trim. Skewness (10/119)	-0.214400	0.373400	Trim. Kurtosis (10/119)	-0.800400	0.095000
Trim. Skewness (11/119)	-0.186800	0.441200	Trim. Kurtosis (11/119)	-0.853400	0.078400
Trim. Skewness (12/119)	-0.164500	0.502800	Trim. Kurtosis (12/119)	-0.890000	0.068800
Trim. Skewness (13/119)	-0.150200	0.541800	Trim. Kurtosis (13/119)	-0.900000	0.068800
Trim. Skewness (14/119)	-0.143000	0.568600	Trim. Kurtosis (14/119)	-0.904700	0.070200
Trim. Skewness (15/119)	-0.127500	0.617000	Trim. Kurtosis (15/119)	-0.922400	0.067200
Trim. Skewness (16/119)	-0.109300	0.667200	Trim. Kurtosis (16/119)	-0.947500	0.062800
Trim. Skewness (17/119)	-0.079800	0.756600	Trim. Kurtosis (17/119)	-0.997000	0.053600
Trim. Skewness (18/119)	-0.043700	0.865000	Trim. Kurtosis (18/119)	-1.055900	0.042400
Trim. Skewness (19/119)	-0.013700	0.952200	Trim. Kurtosis (19/119)	-1.111300	0.034800
Trim. Skewness (20/119)	-0.017800	0.944200	Trim. Kurtosis (20/119)	-1.120100	0.035800
Trim. Skewness (21/119)	-0.025000	0.920400	Trim. Kurtosis (21/119)	-1.133700	0.035800
Trim. Skewness (22/119)	-0.026700	0.920400	Trim. Kurtosis (22/119)	-1.156700	0.034800
Trim. Skewness (23/119)	-0.025600	0.920400	Trim. Kurtosis (23/119)	-1.180500	0.033200
Trim. Skewness (24/119)	-0.017700	0.944200	Trim. Kurtosis (24/119)	-1.209300	0.031600
Trim. Skewness (25/119)	-0.004200	0.984000	Trim. Kurtosis (25/119)	-1.258200	0.027200
Trim. Skewness (26/119)	0.027100	0.920400	Trim. Kurtosis (26/119)	-1.303800	0.023800
Trim. Skewness (27/119)	0.039500	0.888600	Trim. Kurtosis (27/119)	-1.318200	0.024400
Trim. Skewness (28/119)	0.062800	0.833600	Trim. Kurtosis (28/119)	-1.339400	0.023800
Trim. Skewness (29/119)	0.084000	0.779400	Trim. Kurtosis (29/119)	-1.354400	0.024400
Trim. Skewness (30/119)	0.100200	0.741400	Trim. Kurtosis (30/119)	-1.356500	0.026400
Trim. Skewness (31/119)	0.120800	0.696600	Trim. Kurtosis (31/119)	-1.361200	0.028600
Trim. Skewness (32/119)	0.139800	0.660000	Trim. Kurtosis (32/119)	-1.362300	0.030800
Trim. Skewness (33/119)	0.167200	0.603000	Trim. Kurtosis (33/119)	-1.368800	0.033200
Trim. Skewness (34/119)	0.184300	0.575400	Trim. Kurtosis (34/119)	-1.354200	0.038400
Trim. Skewness (35/119)	0.195900	0.562000	Trim. Kurtosis (35/119)	-1.338800	0.044400
Trim. Skewness (36/119)	0.209100	0.541800	Trim. Kurtosis (36/119)	-1.328800	0.050000
Trim. Skewness (37/119)	0.230700	0.509200	Trim. Kurtosis (37/119)	-1.322500	0.056200
Trim. Skewness (38/119)	0.256900	0.471600	Trim. Kurtosis (38/119)	-1.327900	0.060200
Trim. Skewness (39/119)	0.276300	0.453200	Trim. Kurtosis (39/119)	-1.337500	0.064400
Trim. Skewness (40/119)	0.277600	0.459200	Trim. Kurtosis (40/119)	-1.324200	0.073400

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