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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 22:50:26 +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/30/t1291157303c27w64an9y1ixoe.htm/, Retrieved Mon, 29 Apr 2024 14:38:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103868, Retrieved Mon, 29 Apr 2024 14:38:21 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

141

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 22:50:26] [13dfa60174f50d862e8699db2153bfc5] [Current]

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0,010571584
0,021644947
0,009824234
0,018618301
0,011857301
0,013375395
-0,013375395
0,006739188
0,006270178
-0,003677367
-0,017328878
0,013992413
0,013916191
-0,01131895
0,010236371
0,017699861
-0,005585858
0,003499572
0,002779494
0,008573008
-0,002042141
0,003398253
0,001014312
0,013629954
0,004233876
-0,00129834
-0,007541732
0,005260255
-0,002293526
0,003598694
-0,002286625
-0,005272228
-0,011420621
0,00876031
0,001664603
0,010180526
-0,003585191
-0,013292376
-0,010934821
0,003103348
0,006479582
-0,008891379
0,002411796
0,003763111
-0,001023073
-0,014229058
0,013545668
0,010473576
-0,017367284
0,009960531
0,00774044
-0,005032437
-0,001013523
-0,001694479
-0,006499999
0,006160309
-0,015567777
0,000352083
0,011804094
0,001026297
-0,010023955
-0,012054662
-0,021369094
0,008970257
0,00036977
-0,002967011
-0,012074995
0,009462128
0,012546338
-0,008447432
0,025564701
-0,004923229
-0,000707897
-0,010033652
0,008258846
0,002128899
0,019043462
0,017267804
0,006462835
-0,003219396
0,005777839
0,000318748
-0,000637731
-0,007726718
-0,020961979
0,01704645
0,004240235
0,006123734
-0,01630426
-0,01110616
-0,000682317
-0,00653604
-0,008399188
0,015276521
-0,002737878
0,007488021
-0,005091436
-0,003427756
-0,005890003
0,001045234
0,004500501
-0,023347181
-0,016292582
-0,022852685
0,009441556
-0,006666502
-0,017745233
-0,002891177
0,022607791
-0,003158519
0,007074637
0,005808751
0,004972162
0,013479187
-0,011960673
-0,004954708
-0,019601453
0,001201369
-0,010114441

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-0.000000	FISHER 4th Cent. Mom.	0.000000
FISHER beta 1	0.007704	FISHER beta 2	2.511744
FISHER gamma 1	-0.087775	FISHER gamma 2	-0.488256
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-0.390903	FISHER Test 2	-1.087216
FISHER Test 1 Probability	0.689200	FISHER Test 2 Probability	0.275800
Pearson 2	-0.016196
Yule using Quartile definition:Weighted Average at Xnp	0.016617
Yule using Quartile definition:Weighted Average at X(n+1)p	0.057138
Yule using Quartile definition:Empirical Distribution Function	0.057138
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.057138
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.045123
Yule using Quartile definition:Closest Observation	0.023211
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.057138
Yule using Quartile definition:MS Excel (old versions)	0.057138
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.088900	Kurtosis (small sample)	-0.457244
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-0.400842	TEST 1 (small sample)	-1.038961
TEST 1 Prob. (small sample)	0.681800	TEST 1 Prob. (small sample)	0.298400
Observations	119

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-0.000000 & FISHER 4th Cent. Mom.

0.000000 \tabularnewline FISHER beta 1

0.007704 & FISHER beta 2

2.511744 \tabularnewline FISHER gamma 1

-0.087775 & FISHER gamma 2

-0.488256 \tabularnewline FISHER gamma 1 (S.E.)

0.224544 & FISHER gamma 2 (S.E.)

0.449089 \tabularnewline FISHER Test 1

-0.390903 & FISHER Test 2

-1.087216 \tabularnewline FISHER Test 1 Probability

0.689200 & FISHER Test 2 Probability

0.275800 \tabularnewline Pearson 2

-0.016196 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

0.016617 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.057138 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.057138 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.057138 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.045123 & & \tabularnewline Yule using Quartile definition:Closest Observation

0.023211 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.057138 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.057138 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.088900 & Kurtosis (small sample)

-0.457244 \tabularnewline Skewness S.E. (small sample)

0.221782 & Kurtosis S.E. (small sample)

0.440097 \tabularnewline TEST 1 (small sample)

-0.400842 & TEST 1 (small sample)

-1.038961 \tabularnewline TEST 1 Prob. (small sample)

0.681800 & TEST 1 Prob. (small sample)

0.298400 \tabularnewline Observations

119 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103868&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]

-0.000000[/C][C]FISHER 4th Cent. Mom.[/C]

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

0.007704[/C][C]FISHER beta 2[/C]

2.511744[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.087775[/C][C]FISHER gamma 2[/C]

-0.488256[/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]

-0.390903[/C][C]FISHER Test 2[/C]

-1.087216[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.689200[/C][C]FISHER Test 2 Probability[/C]

0.275800[/C][/ROW] [ROW][C]Pearson 2[/C]

-0.016196[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

0.016617[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.057138[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.057138[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.057138[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.045123[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

0.023211[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.057138[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.057138[/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]

-0.088900[/C][C]Kurtosis (small sample)[/C]

-0.457244[/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]

-0.400842[/C][C]TEST 1 (small sample)[/C]

-1.038961[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.681800[/C][C]TEST 1 Prob. (small sample)[/C]

0.298400[/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=103868&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103868&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.	-0.000000	FISHER 4th Cent. Mom.	0.000000
FISHER beta 1	0.007704	FISHER beta 2	2.511744
FISHER gamma 1	-0.087775	FISHER gamma 2	-0.488256
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-0.390903	FISHER Test 2	-1.087216
FISHER Test 1 Probability	0.689200	FISHER Test 2 Probability	0.275800
Pearson 2	-0.016196
Yule using Quartile definition:Weighted Average at Xnp	0.016617
Yule using Quartile definition:Weighted Average at X(n+1)p	0.057138
Yule using Quartile definition:Empirical Distribution Function	0.057138
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.057138
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.045123
Yule using Quartile definition:Closest Observation	0.023211
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.057138
Yule using Quartile definition:MS Excel (old versions)	0.057138
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.088900	Kurtosis (small sample)	-0.457244
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-0.400842	TEST 1 (small sample)	-1.038961
TEST 1 Prob. (small sample)	0.681800	TEST 1 Prob. (small sample)	0.298400
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)	-0.088900	0.681800	Trim. Kurtosis (0/119)	-0.457200	0.298400
Trim. Skewness (1/119)	-0.120700	0.589200	Trim. Kurtosis (1/119)	-0.561200	0.204000
Trim. Skewness (2/119)	-0.126900	0.568600	Trim. Kurtosis (2/119)	-0.639100	0.152800
Trim. Skewness (3/119)	-0.139300	0.535200	Trim. Kurtosis (3/119)	-0.709800	0.114200
Trim. Skewness (4/119)	-0.128200	0.575400	Trim. Kurtosis (4/119)	-0.763600	0.093000
Trim. Skewness (5/119)	-0.125000	0.582400	Trim. Kurtosis (5/119)	-0.811000	0.076800
Trim. Skewness (6/119)	-0.131000	0.568600	Trim. Kurtosis (6/119)	-0.830800	0.071800
Trim. Skewness (7/119)	-0.136800	0.555200	Trim. Kurtosis (7/119)	-0.857700	0.065800
Trim. Skewness (8/119)	-0.140900	0.548400	Trim. Kurtosis (8/119)	-0.907000	0.053600
Trim. Skewness (9/119)	-0.136500	0.568600	Trim. Kurtosis (9/119)	-0.928700	0.050000
Trim. Skewness (10/119)	-0.116600	0.624200	Trim. Kurtosis (10/119)	-0.955900	0.046600
Trim. Skewness (11/119)	-0.099800	0.681800	Trim. Kurtosis (11/119)	-0.983900	0.042400
Trim. Skewness (12/119)	-0.093300	0.704000	Trim. Kurtosis (12/119)	-0.993500	0.042400
Trim. Skewness (13/119)	-0.094300	0.704000	Trim. Kurtosis (13/119)	-0.998000	0.043400
Trim. Skewness (14/119)	-0.095100	0.704000	Trim. Kurtosis (14/119)	-1.015200	0.042400
Trim. Skewness (15/119)	-0.110000	0.660000	Trim. Kurtosis (15/119)	-1.022500	0.042400
Trim. Skewness (16/119)	-0.116200	0.652800	Trim. Kurtosis (16/119)	-1.027200	0.044400
Trim. Skewness (17/119)	-0.114500	0.660000	Trim. Kurtosis (17/119)	-1.032200	0.045600
Trim. Skewness (18/119)	-0.118900	0.645600	Trim. Kurtosis (18/119)	-1.038100	0.046600
Trim. Skewness (19/119)	-0.107200	0.681800	Trim. Kurtosis (19/119)	-1.036200	0.048800
Trim. Skewness (20/119)	-0.093500	0.726400	Trim. Kurtosis (20/119)	-1.040800	0.051200
Trim. Skewness (21/119)	-0.074500	0.779400	Trim. Kurtosis (21/119)	-1.054200	0.051200
Trim. Skewness (22/119)	-0.065100	0.810400	Trim. Kurtosis (22/119)	-1.056800	0.053600
Trim. Skewness (23/119)	-0.049600	0.857200	Trim. Kurtosis (23/119)	-1.071700	0.052400
Trim. Skewness (24/119)	-0.025400	0.928200	Trim. Kurtosis (24/119)	-1.112100	0.047800
Trim. Skewness (25/119)	-0.014800	0.952200	Trim. Kurtosis (25/119)	-1.122700	0.048800
Trim. Skewness (26/119)	-0.011000	0.968000	Trim. Kurtosis (26/119)	-1.138700	0.047800
Trim. Skewness (27/119)	0.004600	0.984000	Trim. Kurtosis (27/119)	-1.165000	0.046600
Trim. Skewness (28/119)	0.011600	0.968000	Trim. Kurtosis (28/119)	-1.182600	0.046600
Trim. Skewness (29/119)	0.020700	0.944200	Trim. Kurtosis (29/119)	-1.214700	0.043400
Trim. Skewness (30/119)	0.015600	0.952200	Trim. Kurtosis (30/119)	-1.225300	0.045600
Trim. Skewness (31/119)	0.020200	0.944200	Trim. Kurtosis (31/119)	-1.231600	0.047800
Trim. Skewness (32/119)	0.033100	0.912400	Trim. Kurtosis (32/119)	-1.251300	0.047800
Trim. Skewness (33/119)	0.041600	0.896600	Trim. Kurtosis (33/119)	-1.248700	0.052400
Trim. Skewness (34/119)	0.052700	0.872800	Trim. Kurtosis (34/119)	-1.236600	0.058800
Trim. Skewness (35/119)	0.064100	0.849200	Trim. Kurtosis (35/119)	-1.214300	0.068800
Trim. Skewness (36/119)	0.072700	0.833600	Trim. Kurtosis (36/119)	-1.196200	0.078400
Trim. Skewness (37/119)	0.089300	0.794800	Trim. Kurtosis (37/119)	-1.184700	0.087200
Trim. Skewness (38/119)	0.113400	0.749000	Trim. Kurtosis (38/119)	-1.192600	0.091000
Trim. Skewness (39/119)	0.149000	0.681800	Trim. Kurtosis (39/119)	-1.255400	0.081800
Trim. Skewness (40/119)	0.135700	0.718800	Trim. Kurtosis (40/119)	-1.248300	0.091000

\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)

-0.088900

0.681800 & Trim. Kurtosis (0/119)

-0.457200

0.298400 \tabularnewline Trim. Skewness (1/119)

-0.120700

0.589200 & Trim. Kurtosis (1/119)

-0.561200

0.204000 \tabularnewline Trim. Skewness (2/119)

-0.126900

0.568600 & Trim. Kurtosis (2/119)

-0.639100

0.152800 \tabularnewline Trim. Skewness (3/119)

-0.139300

0.535200 & Trim. Kurtosis (3/119)

-0.709800

0.114200 \tabularnewline Trim. Skewness (4/119)

-0.128200

0.575400 & Trim. Kurtosis (4/119)

-0.763600

0.093000 \tabularnewline Trim. Skewness (5/119)

-0.125000

0.582400 & Trim. Kurtosis (5/119)

-0.811000

0.076800 \tabularnewline Trim. Skewness (6/119)

-0.131000

0.568600 & Trim. Kurtosis (6/119)

-0.830800

0.071800 \tabularnewline Trim. Skewness (7/119)

-0.136800

0.555200 & Trim. Kurtosis (7/119)

-0.857700

0.065800 \tabularnewline Trim. Skewness (8/119)

-0.140900

0.548400 & Trim. Kurtosis (8/119)

-0.907000

0.053600 \tabularnewline Trim. Skewness (9/119)

-0.136500

0.568600 & Trim. Kurtosis (9/119)

-0.928700

0.050000 \tabularnewline Trim. Skewness (10/119)

-0.116600

0.624200 & Trim. Kurtosis (10/119)

-0.955900

0.046600 \tabularnewline Trim. Skewness (11/119)

-0.099800

0.681800 & Trim. Kurtosis (11/119)

-0.983900

0.042400 \tabularnewline Trim. Skewness (12/119)

-0.093300

0.704000 & Trim. Kurtosis (12/119)

-0.993500

0.042400 \tabularnewline Trim. Skewness (13/119)

-0.094300

0.704000 & Trim. Kurtosis (13/119)

-0.998000

0.043400 \tabularnewline Trim. Skewness (14/119)

-0.095100

0.704000 & Trim. Kurtosis (14/119)

-1.015200

0.042400 \tabularnewline Trim. Skewness (15/119)

-0.110000

0.660000 & Trim. Kurtosis (15/119)

-1.022500

0.042400 \tabularnewline Trim. Skewness (16/119)

-0.116200

0.652800 & Trim. Kurtosis (16/119)

-1.027200

0.044400 \tabularnewline Trim. Skewness (17/119)

-0.114500

0.660000 & Trim. Kurtosis (17/119)

-1.032200

0.045600 \tabularnewline Trim. Skewness (18/119)

-0.118900

0.645600 & Trim. Kurtosis (18/119)

-1.038100

0.046600 \tabularnewline Trim. Skewness (19/119)

-0.107200

0.681800 & Trim. Kurtosis (19/119)

-1.036200

0.048800 \tabularnewline Trim. Skewness (20/119)

-0.093500

0.726400 & Trim. Kurtosis (20/119)

-1.040800

0.051200 \tabularnewline Trim. Skewness (21/119)

-0.074500

0.779400 & Trim. Kurtosis (21/119)

-1.054200

0.051200 \tabularnewline Trim. Skewness (22/119)

-0.065100

0.810400 & Trim. Kurtosis (22/119)

-1.056800

0.053600 \tabularnewline Trim. Skewness (23/119)

-0.049600

0.857200 & Trim. Kurtosis (23/119)

-1.071700

0.052400 \tabularnewline Trim. Skewness (24/119)

-0.025400

0.928200 & Trim. Kurtosis (24/119)

-1.112100

0.047800 \tabularnewline Trim. Skewness (25/119)

-0.014800

0.952200 & Trim. Kurtosis (25/119)

-1.122700

0.048800 \tabularnewline Trim. Skewness (26/119)

-0.011000

0.968000 & Trim. Kurtosis (26/119)

-1.138700

0.047800 \tabularnewline Trim. Skewness (27/119)

0.004600

0.984000 & Trim. Kurtosis (27/119)

-1.165000

0.046600 \tabularnewline Trim. Skewness (28/119)

0.011600

0.968000 & Trim. Kurtosis (28/119)

-1.182600

0.046600 \tabularnewline Trim. Skewness (29/119)

0.020700

0.944200 & Trim. Kurtosis (29/119)

-1.214700

0.043400 \tabularnewline Trim. Skewness (30/119)

0.015600

0.952200 & Trim. Kurtosis (30/119)

-1.225300

0.045600 \tabularnewline Trim. Skewness (31/119)

0.020200

0.944200 & Trim. Kurtosis (31/119)

-1.231600

0.047800 \tabularnewline Trim. Skewness (32/119)

0.033100

0.912400 & Trim. Kurtosis (32/119)

-1.251300

0.047800 \tabularnewline Trim. Skewness (33/119)

0.041600

0.896600 & Trim. Kurtosis (33/119)

-1.248700

0.052400 \tabularnewline Trim. Skewness (34/119)

0.052700

0.872800 & Trim. Kurtosis (34/119)

-1.236600

0.058800 \tabularnewline Trim. Skewness (35/119)

0.064100

0.849200 & Trim. Kurtosis (35/119)

-1.214300

0.068800 \tabularnewline Trim. Skewness (36/119)

0.072700

0.833600 & Trim. Kurtosis (36/119)

-1.196200

0.078400 \tabularnewline Trim. Skewness (37/119)

0.089300

0.794800 & Trim. Kurtosis (37/119)

-1.184700

0.087200 \tabularnewline Trim. Skewness (38/119)

0.113400

0.749000 & Trim. Kurtosis (38/119)

-1.192600

0.091000 \tabularnewline Trim. Skewness (39/119)

0.149000

0.681800 & Trim. Kurtosis (39/119)

-1.255400

0.081800 \tabularnewline Trim. Skewness (40/119)

0.135700

0.718800 & Trim. Kurtosis (40/119)

-1.248300

0.091000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103868&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]

-0.088900[/C]

0.681800[/C][C]Trim. Kurtosis (0/119)[/C]

-0.457200[/C]

0.298400[/C][/ROW] [ROW][C]Trim. Skewness (1/119)[/C]

-0.120700[/C]

0.589200[/C][C]Trim. Kurtosis (1/119)[/C]

-0.561200[/C]

0.204000[/C][/ROW] [ROW][C]Trim. Skewness (2/119)[/C]

-0.126900[/C]

0.568600[/C][C]Trim. Kurtosis (2/119)[/C]

-0.639100[/C]

0.152800[/C][/ROW] [ROW][C]Trim. Skewness (3/119)[/C]

-0.139300[/C]

0.535200[/C][C]Trim. Kurtosis (3/119)[/C]

-0.709800[/C]

0.114200[/C][/ROW] [ROW][C]Trim. Skewness (4/119)[/C]

-0.128200[/C]

0.575400[/C][C]Trim. Kurtosis (4/119)[/C]

-0.763600[/C]

0.093000[/C][/ROW] [ROW][C]Trim. Skewness (5/119)[/C]

-0.125000[/C]

0.582400[/C][C]Trim. Kurtosis (5/119)[/C]

-0.811000[/C]

0.076800[/C][/ROW] [ROW][C]Trim. Skewness (6/119)[/C]

-0.131000[/C]

0.568600[/C][C]Trim. Kurtosis (6/119)[/C]

-0.830800[/C]

0.071800[/C][/ROW] [ROW][C]Trim. Skewness (7/119)[/C]

-0.136800[/C]

0.555200[/C][C]Trim. Kurtosis (7/119)[/C]

-0.857700[/C]

0.065800[/C][/ROW] [ROW][C]Trim. Skewness (8/119)[/C]

-0.140900[/C]

0.548400[/C][C]Trim. Kurtosis (8/119)[/C]

-0.907000[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (9/119)[/C]

-0.136500[/C]

0.568600[/C][C]Trim. Kurtosis (9/119)[/C]

-0.928700[/C]

0.050000[/C][/ROW] [ROW][C]Trim. Skewness (10/119)[/C]

-0.116600[/C]

0.624200[/C][C]Trim. Kurtosis (10/119)[/C]

-0.955900[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (11/119)[/C]

-0.099800[/C]

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

-0.983900[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (12/119)[/C]

-0.093300[/C]

0.704000[/C][C]Trim. Kurtosis (12/119)[/C]

-0.993500[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (13/119)[/C]

-0.094300[/C]

0.704000[/C][C]Trim. Kurtosis (13/119)[/C]

-0.998000[/C]

0.043400[/C][/ROW] [ROW][C]Trim. Skewness (14/119)[/C]

-0.095100[/C]

0.704000[/C][C]Trim. Kurtosis (14/119)[/C]

-1.015200[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (15/119)[/C]

-0.110000[/C]

0.660000[/C][C]Trim. Kurtosis (15/119)[/C]

-1.022500[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (16/119)[/C]

-0.116200[/C]

0.652800[/C][C]Trim. Kurtosis (16/119)[/C]

-1.027200[/C]

0.044400[/C][/ROW] [ROW][C]Trim. Skewness (17/119)[/C]

-0.114500[/C]

0.660000[/C][C]Trim. Kurtosis (17/119)[/C]

-1.032200[/C]

0.045600[/C][/ROW] [ROW][C]Trim. Skewness (18/119)[/C]

-0.118900[/C]

0.645600[/C][C]Trim. Kurtosis (18/119)[/C]

-1.038100[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (19/119)[/C]

-0.107200[/C]

0.681800[/C][C]Trim. Kurtosis (19/119)[/C]

-1.036200[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (20/119)[/C]

-0.093500[/C]

0.726400[/C][C]Trim. Kurtosis (20/119)[/C]

-1.040800[/C]

0.051200[/C][/ROW] [ROW][C]Trim. Skewness (21/119)[/C]

-0.074500[/C]

0.779400[/C][C]Trim. Kurtosis (21/119)[/C]

-1.054200[/C]

0.051200[/C][/ROW] [ROW][C]Trim. Skewness (22/119)[/C]

-0.065100[/C]

0.810400[/C][C]Trim. Kurtosis (22/119)[/C]

-1.056800[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (23/119)[/C]

-0.049600[/C]

0.857200[/C][C]Trim. Kurtosis (23/119)[/C]

-1.071700[/C]

0.052400[/C][/ROW] [ROW][C]Trim. Skewness (24/119)[/C]

-0.025400[/C]

0.928200[/C][C]Trim. Kurtosis (24/119)[/C]

-1.112100[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (25/119)[/C]

-0.014800[/C]

0.952200[/C][C]Trim. Kurtosis (25/119)[/C]

-1.122700[/C]

0.048800[/C][/ROW] [ROW][C]Trim. Skewness (26/119)[/C]

-0.011000[/C]

0.968000[/C][C]Trim. Kurtosis (26/119)[/C]

-1.138700[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (27/119)[/C]

0.004600[/C]

0.984000[/C][C]Trim. Kurtosis (27/119)[/C]

-1.165000[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (28/119)[/C]

0.011600[/C]

0.968000[/C][C]Trim. Kurtosis (28/119)[/C]

-1.182600[/C]

0.046600[/C][/ROW] [ROW][C]Trim. Skewness (29/119)[/C]

0.020700[/C]

0.944200[/C][C]Trim. Kurtosis (29/119)[/C]

-1.214700[/C]

0.043400[/C][/ROW] [ROW][C]Trim. Skewness (30/119)[/C]

0.015600[/C]

0.952200[/C][C]Trim. Kurtosis (30/119)[/C]

-1.225300[/C]

0.045600[/C][/ROW] [ROW][C]Trim. Skewness (31/119)[/C]

0.020200[/C]

0.944200[/C][C]Trim. Kurtosis (31/119)[/C]

-1.231600[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (32/119)[/C]

0.033100[/C]

0.912400[/C][C]Trim. Kurtosis (32/119)[/C]

-1.251300[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (33/119)[/C]

0.041600[/C]

0.896600[/C][C]Trim. Kurtosis (33/119)[/C]

-1.248700[/C]

0.052400[/C][/ROW] [ROW][C]Trim. Skewness (34/119)[/C]

0.052700[/C]

0.872800[/C][C]Trim. Kurtosis (34/119)[/C]

-1.236600[/C]

0.058800[/C][/ROW] [ROW][C]Trim. Skewness (35/119)[/C]

0.064100[/C]

0.849200[/C][C]Trim. Kurtosis (35/119)[/C]

-1.214300[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (36/119)[/C]

0.072700[/C]

0.833600[/C][C]Trim. Kurtosis (36/119)[/C]

-1.196200[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (37/119)[/C]

0.089300[/C]

0.794800[/C][C]Trim. Kurtosis (37/119)[/C]

-1.184700[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (38/119)[/C]

0.113400[/C]

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

-1.192600[/C]

0.091000[/C][/ROW] [ROW][C]Trim. Skewness (39/119)[/C]

0.149000[/C]

0.681800[/C][C]Trim. Kurtosis (39/119)[/C]

-1.255400[/C]

0.081800[/C][/ROW] [ROW][C]Trim. Skewness (40/119)[/C]

0.135700[/C]

0.718800[/C][C]Trim. Kurtosis (40/119)[/C]

-1.248300[/C]

0.091000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103868&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103868&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)	-0.088900	0.681800	Trim. Kurtosis (0/119)	-0.457200	0.298400
Trim. Skewness (1/119)	-0.120700	0.589200	Trim. Kurtosis (1/119)	-0.561200	0.204000
Trim. Skewness (2/119)	-0.126900	0.568600	Trim. Kurtosis (2/119)	-0.639100	0.152800
Trim. Skewness (3/119)	-0.139300	0.535200	Trim. Kurtosis (3/119)	-0.709800	0.114200
Trim. Skewness (4/119)	-0.128200	0.575400	Trim. Kurtosis (4/119)	-0.763600	0.093000
Trim. Skewness (5/119)	-0.125000	0.582400	Trim. Kurtosis (5/119)	-0.811000	0.076800
Trim. Skewness (6/119)	-0.131000	0.568600	Trim. Kurtosis (6/119)	-0.830800	0.071800
Trim. Skewness (7/119)	-0.136800	0.555200	Trim. Kurtosis (7/119)	-0.857700	0.065800
Trim. Skewness (8/119)	-0.140900	0.548400	Trim. Kurtosis (8/119)	-0.907000	0.053600
Trim. Skewness (9/119)	-0.136500	0.568600	Trim. Kurtosis (9/119)	-0.928700	0.050000
Trim. Skewness (10/119)	-0.116600	0.624200	Trim. Kurtosis (10/119)	-0.955900	0.046600
Trim. Skewness (11/119)	-0.099800	0.681800	Trim. Kurtosis (11/119)	-0.983900	0.042400
Trim. Skewness (12/119)	-0.093300	0.704000	Trim. Kurtosis (12/119)	-0.993500	0.042400
Trim. Skewness (13/119)	-0.094300	0.704000	Trim. Kurtosis (13/119)	-0.998000	0.043400
Trim. Skewness (14/119)	-0.095100	0.704000	Trim. Kurtosis (14/119)	-1.015200	0.042400
Trim. Skewness (15/119)	-0.110000	0.660000	Trim. Kurtosis (15/119)	-1.022500	0.042400
Trim. Skewness (16/119)	-0.116200	0.652800	Trim. Kurtosis (16/119)	-1.027200	0.044400
Trim. Skewness (17/119)	-0.114500	0.660000	Trim. Kurtosis (17/119)	-1.032200	0.045600
Trim. Skewness (18/119)	-0.118900	0.645600	Trim. Kurtosis (18/119)	-1.038100	0.046600
Trim. Skewness (19/119)	-0.107200	0.681800	Trim. Kurtosis (19/119)	-1.036200	0.048800
Trim. Skewness (20/119)	-0.093500	0.726400	Trim. Kurtosis (20/119)	-1.040800	0.051200
Trim. Skewness (21/119)	-0.074500	0.779400	Trim. Kurtosis (21/119)	-1.054200	0.051200
Trim. Skewness (22/119)	-0.065100	0.810400	Trim. Kurtosis (22/119)	-1.056800	0.053600
Trim. Skewness (23/119)	-0.049600	0.857200	Trim. Kurtosis (23/119)	-1.071700	0.052400
Trim. Skewness (24/119)	-0.025400	0.928200	Trim. Kurtosis (24/119)	-1.112100	0.047800
Trim. Skewness (25/119)	-0.014800	0.952200	Trim. Kurtosis (25/119)	-1.122700	0.048800
Trim. Skewness (26/119)	-0.011000	0.968000	Trim. Kurtosis (26/119)	-1.138700	0.047800
Trim. Skewness (27/119)	0.004600	0.984000	Trim. Kurtosis (27/119)	-1.165000	0.046600
Trim. Skewness (28/119)	0.011600	0.968000	Trim. Kurtosis (28/119)	-1.182600	0.046600
Trim. Skewness (29/119)	0.020700	0.944200	Trim. Kurtosis (29/119)	-1.214700	0.043400
Trim. Skewness (30/119)	0.015600	0.952200	Trim. Kurtosis (30/119)	-1.225300	0.045600
Trim. Skewness (31/119)	0.020200	0.944200	Trim. Kurtosis (31/119)	-1.231600	0.047800
Trim. Skewness (32/119)	0.033100	0.912400	Trim. Kurtosis (32/119)	-1.251300	0.047800
Trim. Skewness (33/119)	0.041600	0.896600	Trim. Kurtosis (33/119)	-1.248700	0.052400
Trim. Skewness (34/119)	0.052700	0.872800	Trim. Kurtosis (34/119)	-1.236600	0.058800
Trim. Skewness (35/119)	0.064100	0.849200	Trim. Kurtosis (35/119)	-1.214300	0.068800
Trim. Skewness (36/119)	0.072700	0.833600	Trim. Kurtosis (36/119)	-1.196200	0.078400
Trim. Skewness (37/119)	0.089300	0.794800	Trim. Kurtosis (37/119)	-1.184700	0.087200
Trim. Skewness (38/119)	0.113400	0.749000	Trim. Kurtosis (38/119)	-1.192600	0.091000
Trim. Skewness (39/119)	0.149000	0.681800	Trim. Kurtosis (39/119)	-1.255400	0.081800
Trim. Skewness (40/119)	0.135700	0.718800	Trim. Kurtosis (40/119)	-1.248300	0.091000

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