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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 22:48:48 +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/t1291157205ndpb83m6spncijy.htm/, Retrieved Mon, 29 Apr 2024 11:26:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103866, Retrieved Mon, 29 Apr 2024 11:26:45 +0000

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Estimated Impact

146

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 22:48:48] [13dfa60174f50d862e8699db2153bfc5] [Current]

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0,007348126
-0,00488491
-0,01594781
0,003647556
-0,026872146
-8,40109E-05
-0,013049004
-0,003128185
0,007692948
0,006884938
-0,002367655
-0,000509038
0,006069432
-0,01334565
-0,015554545
-0,012618075
-0,001383839
-0,001759217
0,001296955
-0,000462754
0,004788707
0,003557194
-0,022845698
0,018922011
-0,010483319
-0,006051665
-0,00488353
0,003930294
0,005970755
0,006261051
-0,000557026
-0,000836881
-0,009599099
0,006329145
-0,016437309
0,000681246
0,003293795
0,004703423
-0,004896486
0,00327045
0,005238839
-0,004472887
0,000669101
-0,004898652
0,001157605
-0,016394122
0,013203254
0,005880006
-0,00841064
-0,004316493
-0,017400254
-0,00174808
-0,012013722
-0,006617542
-0,005520079
0,000435492
-0,016637421
-0,001585845
0,000906906
-0,006158691
-0,012822293
0,000591118
-0,023796259
0,013757084
-0,006578499
0,016735801
-0,01981548
0,007476398
0,017038013
-0,011004372
0,014495504
-0,009491232
-0,008010614
-0,004487932
0,007254531
0,003225417
0,004381468
0,005735275
0,004050744
-0,011675286
0,011675286
-0,00428336
0,008524887
0,002729275
-0,018054809
0,010276875
0,001267678
0,022097991
-0,024521323
-0,00959418
-0,020840442
-0,013872374
-0,015391025
0,01667062
0,015684735
-0,000493236
0,008188713
0,007204387
-0,009876229
-0,004654075
-0,001356593
-0,029777984
0,009939121
-0,011795083
0,013343832
-0,009113228
0,009113228
0,0216124
0,00097952
-0,002084127
0,011161255
0,001076615
0,001669448
0,018865085
-0,012367971
0,004432805
-0,023365052
-0,002087073
-0,010588516

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	0.036400	FISHER beta 2	2.706927
FISHER gamma 1	-0.190787	FISHER gamma 2	-0.293073
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-0.849662	FISHER Test 2	-0.652596
FISHER Test 1 Probability	0.395400	FISHER Test 2 Probability	0.509200
Pearson 2	-0.337169
Yule using Quartile definition:Weighted Average at Xnp	-0.180240
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.168294
Yule using Quartile definition:Empirical Distribution Function	-0.168294
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.168294
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.173650
Yule using Quartile definition:Closest Observation	-0.179321
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.168294
Yule using Quartile definition:MS Excel (old versions)	-0.168294
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.193231	Kurtosis (small sample)	-0.253604
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-0.871265	TEST 1 (small sample)	-0.576247
TEST 1 Prob. (small sample)	0.378800	TEST 1 Prob. (small sample)	0.562000
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

0.036400 & FISHER beta 2

2.706927 \tabularnewline FISHER gamma 1

-0.190787 & FISHER gamma 2

-0.293073 \tabularnewline FISHER gamma 1 (S.E.)

0.224544 & FISHER gamma 2 (S.E.)

0.449089 \tabularnewline FISHER Test 1

-0.849662 & FISHER Test 2

-0.652596 \tabularnewline FISHER Test 1 Probability

0.395400 & FISHER Test 2 Probability

0.509200 \tabularnewline Pearson 2

-0.337169 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.180240 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

-0.168294 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

-0.168294 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

-0.168294 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

-0.173650 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.179321 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

-0.168294 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

-0.168294 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.193231 & Kurtosis (small sample)

-0.253604 \tabularnewline Skewness S.E. (small sample)

0.221782 & Kurtosis S.E. (small sample)

0.440097 \tabularnewline TEST 1 (small sample)

-0.871265 & TEST 1 (small sample)

-0.576247 \tabularnewline TEST 1 Prob. (small sample)

0.378800 & TEST 1 Prob. (small sample)

0.562000 \tabularnewline Observations

119 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103866&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]

0.036400[/C][C]FISHER beta 2[/C]

2.706927[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.190787[/C][C]FISHER gamma 2[/C]

-0.293073[/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]

-0.849662[/C][C]FISHER Test 2[/C]

-0.652596[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.395400[/C][C]FISHER Test 2 Probability[/C]

0.509200[/C][/ROW] [ROW][C]Pearson 2[/C]

-0.337169[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.180240[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

-0.168294[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

-0.168294[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

-0.168294[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

-0.173650[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.179321[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

-0.168294[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

-0.168294[/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]

-0.193231[/C][C]Kurtosis (small sample)[/C]

-0.253604[/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]

-0.871265[/C][C]TEST 1 (small sample)[/C]

-0.576247[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.378800[/C][C]TEST 1 Prob. (small sample)[/C]

0.562000[/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=103866&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103866&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	0.036400	FISHER beta 2	2.706927
FISHER gamma 1	-0.190787	FISHER gamma 2	-0.293073
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-0.849662	FISHER Test 2	-0.652596
FISHER Test 1 Probability	0.395400	FISHER Test 2 Probability	0.509200
Pearson 2	-0.337169
Yule using Quartile definition:Weighted Average at Xnp	-0.180240
Yule using Quartile definition:Weighted Average at X(n+1)p	-0.168294
Yule using Quartile definition:Empirical Distribution Function	-0.168294
Yule using Quartile definition:Empirical Distribution Function - Averaging	-0.168294
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.173650
Yule using Quartile definition:Closest Observation	-0.179321
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.168294
Yule using Quartile definition:MS Excel (old versions)	-0.168294
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.193231	Kurtosis (small sample)	-0.253604
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-0.871265	TEST 1 (small sample)	-0.576247
TEST 1 Prob. (small sample)	0.378800	TEST 1 Prob. (small sample)	0.562000
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)	-0.193200	0.378800	Trim. Kurtosis (0/119)	-0.253600	0.562000
Trim. Skewness (1/119)	-0.170600	0.441200	Trim. Kurtosis (1/119)	-0.375200	0.395400
Trim. Skewness (2/119)	-0.173500	0.441200	Trim. Kurtosis (2/119)	-0.469100	0.293800
Trim. Skewness (3/119)	-0.172000	0.447200	Trim. Kurtosis (3/119)	-0.502500	0.262800
Trim. Skewness (4/119)	-0.176900	0.435400	Trim. Kurtosis (4/119)	-0.555700	0.218600
Trim. Skewness (5/119)	-0.164600	0.471600	Trim. Kurtosis (5/119)	-0.608400	0.183600
Trim. Skewness (6/119)	-0.150600	0.515600	Trim. Kurtosis (6/119)	-0.686600	0.136200
Trim. Skewness (7/119)	-0.159100	0.496400	Trim. Kurtosis (7/119)	-0.751700	0.107400
Trim. Skewness (8/119)	-0.168600	0.477600	Trim. Kurtosis (8/119)	-0.809500	0.085400
Trim. Skewness (9/119)	-0.184900	0.441200	Trim. Kurtosis (9/119)	-0.832900	0.080200
Trim. Skewness (10/119)	-0.201700	0.400800	Trim. Kurtosis (10/119)	-0.851000	0.075000
Trim. Skewness (11/119)	-0.224700	0.357600	Trim. Kurtosis (11/119)	-0.866600	0.073400
Trim. Skewness (12/119)	-0.252900	0.303000	Trim. Kurtosis (12/119)	-0.898600	0.065800
Trim. Skewness (13/119)	-0.263000	0.289200	Trim. Kurtosis (13/119)	-0.922200	0.061400
Trim. Skewness (14/119)	-0.272500	0.280200	Trim. Kurtosis (14/119)	-0.948000	0.057400
Trim. Skewness (15/119)	-0.274800	0.280200	Trim. Kurtosis (15/119)	-0.970800	0.053600
Trim. Skewness (16/119)	-0.272900	0.289200	Trim. Kurtosis (16/119)	-1.009000	0.047800
Trim. Skewness (17/119)	-0.280000	0.280200	Trim. Kurtosis (17/119)	-1.007500	0.051200
Trim. Skewness (18/119)	-0.286200	0.275800	Trim. Kurtosis (18/119)	-0.996200	0.056200
Trim. Skewness (19/119)	-0.291400	0.271400	Trim. Kurtosis (19/119)	-0.982500	0.062800
Trim. Skewness (20/119)	-0.292100	0.280200	Trim. Kurtosis (20/119)	-0.966400	0.070200
Trim. Skewness (21/119)	-0.290800	0.284600	Trim. Kurtosis (21/119)	-0.951800	0.078400
Trim. Skewness (22/119)	-0.289000	0.293800	Trim. Kurtosis (22/119)	-0.939200	0.085400
Trim. Skewness (23/119)	-0.289300	0.303000	Trim. Kurtosis (23/119)	-0.925700	0.095000
Trim. Skewness (24/119)	-0.290200	0.307800	Trim. Kurtosis (24/119)	-0.918900	0.101000
Trim. Skewness (25/119)	-0.283900	0.322200	Trim. Kurtosis (25/119)	-0.923200	0.105200
Trim. Skewness (26/119)	-0.277700	0.342200	Trim. Kurtosis (26/119)	-0.907500	0.114200
Trim. Skewness (27/119)	-0.275300	0.352400	Trim. Kurtosis (27/119)	-0.887400	0.128600
Trim. Skewness (28/119)	-0.266300	0.373400	Trim. Kurtosis (28/119)	-0.878800	0.138800
Trim. Skewness (29/119)	-0.266700	0.378800	Trim. Kurtosis (29/119)	-0.855800	0.155600
Trim. Skewness (30/119)	-0.269400	0.384400	Trim. Kurtosis (30/119)	-0.836400	0.170600
Trim. Skewness (31/119)	-0.262700	0.400800	Trim. Kurtosis (31/119)	-0.847500	0.170600
Trim. Skewness (32/119)	-0.231500	0.471600	Trim. Kurtosis (32/119)	-0.892800	0.158600
Trim. Skewness (33/119)	-0.182300	0.575400	Trim. Kurtosis (33/119)	-0.959000	0.136200
Trim. Skewness (34/119)	-0.143800	0.660000	Trim. Kurtosis (34/119)	-1.013800	0.121200
Trim. Skewness (35/119)	-0.094600	0.779400	Trim. Kurtosis (35/119)	-1.089000	0.101000
Trim. Skewness (36/119)	-0.103800	0.764200	Trim. Kurtosis (36/119)	-1.072600	0.114200
Trim. Skewness (37/119)	-0.098800	0.779400	Trim. Kurtosis (37/119)	-1.063900	0.123600
Trim. Skewness (38/119)	-0.107700	0.764200	Trim. Kurtosis (38/119)	-1.044800	0.138800
Trim. Skewness (39/119)	-0.105900	0.771800	Trim. Kurtosis (39/119)	-1.032100	0.152800
Trim. Skewness (40/119)	-0.133100	0.718800	Trim. Kurtosis (40/119)	-0.998300	0.177000

\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)

-0.193200

0.378800 & Trim. Kurtosis (0/119)

-0.253600

0.562000 \tabularnewline Trim. Skewness (1/119)

-0.170600

0.441200 & Trim. Kurtosis (1/119)

-0.375200

0.395400 \tabularnewline Trim. Skewness (2/119)

-0.173500

0.441200 & Trim. Kurtosis (2/119)

-0.469100

0.293800 \tabularnewline Trim. Skewness (3/119)

-0.172000

0.447200 & Trim. Kurtosis (3/119)

-0.502500

0.262800 \tabularnewline Trim. Skewness (4/119)

-0.176900

0.435400 & Trim. Kurtosis (4/119)

-0.555700

0.218600 \tabularnewline Trim. Skewness (5/119)

-0.164600

0.471600 & Trim. Kurtosis (5/119)

-0.608400

0.183600 \tabularnewline Trim. Skewness (6/119)

-0.150600

0.515600 & Trim. Kurtosis (6/119)

-0.686600

0.136200 \tabularnewline Trim. Skewness (7/119)

-0.159100

0.496400 & Trim. Kurtosis (7/119)

-0.751700

0.107400 \tabularnewline Trim. Skewness (8/119)

-0.168600

0.477600 & Trim. Kurtosis (8/119)

-0.809500

0.085400 \tabularnewline Trim. Skewness (9/119)

-0.184900

0.441200 & Trim. Kurtosis (9/119)

-0.832900

0.080200 \tabularnewline Trim. Skewness (10/119)

-0.201700

0.400800 & Trim. Kurtosis (10/119)

-0.851000

0.075000 \tabularnewline Trim. Skewness (11/119)

-0.224700

0.357600 & Trim. Kurtosis (11/119)

-0.866600

0.073400 \tabularnewline Trim. Skewness (12/119)

-0.252900

0.303000 & Trim. Kurtosis (12/119)

-0.898600

0.065800 \tabularnewline Trim. Skewness (13/119)

-0.263000

0.289200 & Trim. Kurtosis (13/119)

-0.922200

0.061400 \tabularnewline Trim. Skewness (14/119)

-0.272500

0.280200 & Trim. Kurtosis (14/119)

-0.948000

0.057400 \tabularnewline Trim. Skewness (15/119)

-0.274800

0.280200 & Trim. Kurtosis (15/119)

-0.970800

0.053600 \tabularnewline Trim. Skewness (16/119)

-0.272900

0.289200 & Trim. Kurtosis (16/119)

-1.009000

0.047800 \tabularnewline Trim. Skewness (17/119)

-0.280000

0.280200 & Trim. Kurtosis (17/119)

-1.007500

0.051200 \tabularnewline Trim. Skewness (18/119)

-0.286200

0.275800 & Trim. Kurtosis (18/119)

-0.996200

0.056200 \tabularnewline Trim. Skewness (19/119)

-0.291400

0.271400 & Trim. Kurtosis (19/119)

-0.982500

0.062800 \tabularnewline Trim. Skewness (20/119)

-0.292100

0.280200 & Trim. Kurtosis (20/119)

-0.966400

0.070200 \tabularnewline Trim. Skewness (21/119)

-0.290800

0.284600 & Trim. Kurtosis (21/119)

-0.951800

0.078400 \tabularnewline Trim. Skewness (22/119)

-0.289000

0.293800 & Trim. Kurtosis (22/119)

-0.939200

0.085400 \tabularnewline Trim. Skewness (23/119)

-0.289300

0.303000 & Trim. Kurtosis (23/119)

-0.925700

0.095000 \tabularnewline Trim. Skewness (24/119)

-0.290200

0.307800 & Trim. Kurtosis (24/119)

-0.918900

0.101000 \tabularnewline Trim. Skewness (25/119)

-0.283900

0.322200 & Trim. Kurtosis (25/119)

-0.923200

0.105200 \tabularnewline Trim. Skewness (26/119)

-0.277700

0.342200 & Trim. Kurtosis (26/119)

-0.907500

0.114200 \tabularnewline Trim. Skewness (27/119)

-0.275300

0.352400 & Trim. Kurtosis (27/119)

-0.887400

0.128600 \tabularnewline Trim. Skewness (28/119)

-0.266300

0.373400 & Trim. Kurtosis (28/119)

-0.878800

0.138800 \tabularnewline Trim. Skewness (29/119)

-0.266700

0.378800 & Trim. Kurtosis (29/119)

-0.855800

0.155600 \tabularnewline Trim. Skewness (30/119)

-0.269400

0.384400 & Trim. Kurtosis (30/119)

-0.836400

0.170600 \tabularnewline Trim. Skewness (31/119)

-0.262700

0.400800 & Trim. Kurtosis (31/119)

-0.847500

0.170600 \tabularnewline Trim. Skewness (32/119)

-0.231500

0.471600 & Trim. Kurtosis (32/119)

-0.892800

0.158600 \tabularnewline Trim. Skewness (33/119)

-0.182300

0.575400 & Trim. Kurtosis (33/119)

-0.959000

0.136200 \tabularnewline Trim. Skewness (34/119)

-0.143800

0.660000 & Trim. Kurtosis (34/119)

-1.013800

0.121200 \tabularnewline Trim. Skewness (35/119)

-0.094600

0.779400 & Trim. Kurtosis (35/119)

-1.089000

0.101000 \tabularnewline Trim. Skewness (36/119)

-0.103800

0.764200 & Trim. Kurtosis (36/119)

-1.072600

0.114200 \tabularnewline Trim. Skewness (37/119)

-0.098800

0.779400 & Trim. Kurtosis (37/119)

-1.063900

0.123600 \tabularnewline Trim. Skewness (38/119)

-0.107700

0.764200 & Trim. Kurtosis (38/119)

-1.044800

0.138800 \tabularnewline Trim. Skewness (39/119)

-0.105900

0.771800 & Trim. Kurtosis (39/119)

-1.032100

0.152800 \tabularnewline Trim. Skewness (40/119)

-0.133100

0.718800 & Trim. Kurtosis (40/119)

-0.998300

0.177000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103866&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]

-0.193200[/C]

0.378800[/C][C]Trim. Kurtosis (0/119)[/C]

-0.253600[/C]

0.562000[/C][/ROW] [ROW][C]Trim. Skewness (1/119)[/C]

-0.170600[/C]

0.441200[/C][C]Trim. Kurtosis (1/119)[/C]

-0.375200[/C]

0.395400[/C][/ROW] [ROW][C]Trim. Skewness (2/119)[/C]

-0.173500[/C]

0.441200[/C][C]Trim. Kurtosis (2/119)[/C]

-0.469100[/C]

0.293800[/C][/ROW] [ROW][C]Trim. Skewness (3/119)[/C]

-0.172000[/C]

0.447200[/C][C]Trim. Kurtosis (3/119)[/C]

-0.502500[/C]

0.262800[/C][/ROW] [ROW][C]Trim. Skewness (4/119)[/C]

-0.176900[/C]

0.435400[/C][C]Trim. Kurtosis (4/119)[/C]

-0.555700[/C]

0.218600[/C][/ROW] [ROW][C]Trim. Skewness (5/119)[/C]

-0.164600[/C]

0.471600[/C][C]Trim. Kurtosis (5/119)[/C]

-0.608400[/C]

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

-0.150600[/C]

0.515600[/C][C]Trim. Kurtosis (6/119)[/C]

-0.686600[/C]

0.136200[/C][/ROW] [ROW][C]Trim. Skewness (7/119)[/C]

-0.159100[/C]

0.496400[/C][C]Trim. Kurtosis (7/119)[/C]

-0.751700[/C]

0.107400[/C][/ROW] [ROW][C]Trim. Skewness (8/119)[/C]

-0.168600[/C]

0.477600[/C][C]Trim. Kurtosis (8/119)[/C]

-0.809500[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (9/119)[/C]

-0.184900[/C]

0.441200[/C][C]Trim. Kurtosis (9/119)[/C]

-0.832900[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (10/119)[/C]

-0.201700[/C]

0.400800[/C][C]Trim. Kurtosis (10/119)[/C]

-0.851000[/C]

0.075000[/C][/ROW] [ROW][C]Trim. Skewness (11/119)[/C]

-0.224700[/C]

0.357600[/C][C]Trim. Kurtosis (11/119)[/C]

-0.866600[/C]

0.073400[/C][/ROW] [ROW][C]Trim. Skewness (12/119)[/C]

-0.252900[/C]

0.303000[/C][C]Trim. Kurtosis (12/119)[/C]

-0.898600[/C]

0.065800[/C][/ROW] [ROW][C]Trim. Skewness (13/119)[/C]

-0.263000[/C]

0.289200[/C][C]Trim. Kurtosis (13/119)[/C]

-0.922200[/C]

0.061400[/C][/ROW] [ROW][C]Trim. Skewness (14/119)[/C]

-0.272500[/C]

0.280200[/C][C]Trim. Kurtosis (14/119)[/C]

-0.948000[/C]

0.057400[/C][/ROW] [ROW][C]Trim. Skewness (15/119)[/C]

-0.274800[/C]

0.280200[/C][C]Trim. Kurtosis (15/119)[/C]

-0.970800[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (16/119)[/C]

-0.272900[/C]

0.289200[/C][C]Trim. Kurtosis (16/119)[/C]

-1.009000[/C]

0.047800[/C][/ROW] [ROW][C]Trim. Skewness (17/119)[/C]

-0.280000[/C]

0.280200[/C][C]Trim. Kurtosis (17/119)[/C]

-1.007500[/C]

0.051200[/C][/ROW] [ROW][C]Trim. Skewness (18/119)[/C]

-0.286200[/C]

0.275800[/C][C]Trim. Kurtosis (18/119)[/C]

-0.996200[/C]

0.056200[/C][/ROW] [ROW][C]Trim. Skewness (19/119)[/C]

-0.291400[/C]

0.271400[/C][C]Trim. Kurtosis (19/119)[/C]

-0.982500[/C]

0.062800[/C][/ROW] [ROW][C]Trim. Skewness (20/119)[/C]

-0.292100[/C]

0.280200[/C][C]Trim. Kurtosis (20/119)[/C]

-0.966400[/C]

0.070200[/C][/ROW] [ROW][C]Trim. Skewness (21/119)[/C]

-0.290800[/C]

0.284600[/C][C]Trim. Kurtosis (21/119)[/C]

-0.951800[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (22/119)[/C]

-0.289000[/C]

0.293800[/C][C]Trim. Kurtosis (22/119)[/C]

-0.939200[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (23/119)[/C]

-0.289300[/C]

0.303000[/C][C]Trim. Kurtosis (23/119)[/C]

-0.925700[/C]

0.095000[/C][/ROW] [ROW][C]Trim. Skewness (24/119)[/C]

-0.290200[/C]

0.307800[/C][C]Trim. Kurtosis (24/119)[/C]

-0.918900[/C]

0.101000[/C][/ROW] [ROW][C]Trim. Skewness (25/119)[/C]

-0.283900[/C]

0.322200[/C][C]Trim. Kurtosis (25/119)[/C]

-0.923200[/C]

0.105200[/C][/ROW] [ROW][C]Trim. Skewness (26/119)[/C]

-0.277700[/C]

0.342200[/C][C]Trim. Kurtosis (26/119)[/C]

-0.907500[/C]

0.114200[/C][/ROW] [ROW][C]Trim. Skewness (27/119)[/C]

-0.275300[/C]

0.352400[/C][C]Trim. Kurtosis (27/119)[/C]

-0.887400[/C]

0.128600[/C][/ROW] [ROW][C]Trim. Skewness (28/119)[/C]

-0.266300[/C]

0.373400[/C][C]Trim. Kurtosis (28/119)[/C]

-0.878800[/C]

0.138800[/C][/ROW] [ROW][C]Trim. Skewness (29/119)[/C]

-0.266700[/C]

0.378800[/C][C]Trim. Kurtosis (29/119)[/C]

-0.855800[/C]

0.155600[/C][/ROW] [ROW][C]Trim. Skewness (30/119)[/C]

-0.269400[/C]

0.384400[/C][C]Trim. Kurtosis (30/119)[/C]

-0.836400[/C]

0.170600[/C][/ROW] [ROW][C]Trim. Skewness (31/119)[/C]

-0.262700[/C]

0.400800[/C][C]Trim. Kurtosis (31/119)[/C]

-0.847500[/C]

0.170600[/C][/ROW] [ROW][C]Trim. Skewness (32/119)[/C]

-0.231500[/C]

0.471600[/C][C]Trim. Kurtosis (32/119)[/C]

-0.892800[/C]

0.158600[/C][/ROW] [ROW][C]Trim. Skewness (33/119)[/C]

-0.182300[/C]

0.575400[/C][C]Trim. Kurtosis (33/119)[/C]

-0.959000[/C]

0.136200[/C][/ROW] [ROW][C]Trim. Skewness (34/119)[/C]

-0.143800[/C]

0.660000[/C][C]Trim. Kurtosis (34/119)[/C]

-1.013800[/C]

0.121200[/C][/ROW] [ROW][C]Trim. Skewness (35/119)[/C]

-0.094600[/C]

0.779400[/C][C]Trim. Kurtosis (35/119)[/C]

-1.089000[/C]

0.101000[/C][/ROW] [ROW][C]Trim. Skewness (36/119)[/C]

-0.103800[/C]

0.764200[/C][C]Trim. Kurtosis (36/119)[/C]

-1.072600[/C]

0.114200[/C][/ROW] [ROW][C]Trim. Skewness (37/119)[/C]

-0.098800[/C]

0.779400[/C][C]Trim. Kurtosis (37/119)[/C]

-1.063900[/C]

0.123600[/C][/ROW] [ROW][C]Trim. Skewness (38/119)[/C]

-0.107700[/C]

0.764200[/C][C]Trim. Kurtosis (38/119)[/C]

-1.044800[/C]

0.138800[/C][/ROW] [ROW][C]Trim. Skewness (39/119)[/C]

-0.105900[/C]

0.771800[/C][C]Trim. Kurtosis (39/119)[/C]

-1.032100[/C]

0.152800[/C][/ROW] [ROW][C]Trim. Skewness (40/119)[/C]

-0.133100[/C]

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

-0.998300[/C]

0.177000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103866&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103866&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)	-0.193200	0.378800	Trim. Kurtosis (0/119)	-0.253600	0.562000
Trim. Skewness (1/119)	-0.170600	0.441200	Trim. Kurtosis (1/119)	-0.375200	0.395400
Trim. Skewness (2/119)	-0.173500	0.441200	Trim. Kurtosis (2/119)	-0.469100	0.293800
Trim. Skewness (3/119)	-0.172000	0.447200	Trim. Kurtosis (3/119)	-0.502500	0.262800
Trim. Skewness (4/119)	-0.176900	0.435400	Trim. Kurtosis (4/119)	-0.555700	0.218600
Trim. Skewness (5/119)	-0.164600	0.471600	Trim. Kurtosis (5/119)	-0.608400	0.183600
Trim. Skewness (6/119)	-0.150600	0.515600	Trim. Kurtosis (6/119)	-0.686600	0.136200
Trim. Skewness (7/119)	-0.159100	0.496400	Trim. Kurtosis (7/119)	-0.751700	0.107400
Trim. Skewness (8/119)	-0.168600	0.477600	Trim. Kurtosis (8/119)	-0.809500	0.085400
Trim. Skewness (9/119)	-0.184900	0.441200	Trim. Kurtosis (9/119)	-0.832900	0.080200
Trim. Skewness (10/119)	-0.201700	0.400800	Trim. Kurtosis (10/119)	-0.851000	0.075000
Trim. Skewness (11/119)	-0.224700	0.357600	Trim. Kurtosis (11/119)	-0.866600	0.073400
Trim. Skewness (12/119)	-0.252900	0.303000	Trim. Kurtosis (12/119)	-0.898600	0.065800
Trim. Skewness (13/119)	-0.263000	0.289200	Trim. Kurtosis (13/119)	-0.922200	0.061400
Trim. Skewness (14/119)	-0.272500	0.280200	Trim. Kurtosis (14/119)	-0.948000	0.057400
Trim. Skewness (15/119)	-0.274800	0.280200	Trim. Kurtosis (15/119)	-0.970800	0.053600
Trim. Skewness (16/119)	-0.272900	0.289200	Trim. Kurtosis (16/119)	-1.009000	0.047800
Trim. Skewness (17/119)	-0.280000	0.280200	Trim. Kurtosis (17/119)	-1.007500	0.051200
Trim. Skewness (18/119)	-0.286200	0.275800	Trim. Kurtosis (18/119)	-0.996200	0.056200
Trim. Skewness (19/119)	-0.291400	0.271400	Trim. Kurtosis (19/119)	-0.982500	0.062800
Trim. Skewness (20/119)	-0.292100	0.280200	Trim. Kurtosis (20/119)	-0.966400	0.070200
Trim. Skewness (21/119)	-0.290800	0.284600	Trim. Kurtosis (21/119)	-0.951800	0.078400
Trim. Skewness (22/119)	-0.289000	0.293800	Trim. Kurtosis (22/119)	-0.939200	0.085400
Trim. Skewness (23/119)	-0.289300	0.303000	Trim. Kurtosis (23/119)	-0.925700	0.095000
Trim. Skewness (24/119)	-0.290200	0.307800	Trim. Kurtosis (24/119)	-0.918900	0.101000
Trim. Skewness (25/119)	-0.283900	0.322200	Trim. Kurtosis (25/119)	-0.923200	0.105200
Trim. Skewness (26/119)	-0.277700	0.342200	Trim. Kurtosis (26/119)	-0.907500	0.114200
Trim. Skewness (27/119)	-0.275300	0.352400	Trim. Kurtosis (27/119)	-0.887400	0.128600
Trim. Skewness (28/119)	-0.266300	0.373400	Trim. Kurtosis (28/119)	-0.878800	0.138800
Trim. Skewness (29/119)	-0.266700	0.378800	Trim. Kurtosis (29/119)	-0.855800	0.155600
Trim. Skewness (30/119)	-0.269400	0.384400	Trim. Kurtosis (30/119)	-0.836400	0.170600
Trim. Skewness (31/119)	-0.262700	0.400800	Trim. Kurtosis (31/119)	-0.847500	0.170600
Trim. Skewness (32/119)	-0.231500	0.471600	Trim. Kurtosis (32/119)	-0.892800	0.158600
Trim. Skewness (33/119)	-0.182300	0.575400	Trim. Kurtosis (33/119)	-0.959000	0.136200
Trim. Skewness (34/119)	-0.143800	0.660000	Trim. Kurtosis (34/119)	-1.013800	0.121200
Trim. Skewness (35/119)	-0.094600	0.779400	Trim. Kurtosis (35/119)	-1.089000	0.101000
Trim. Skewness (36/119)	-0.103800	0.764200	Trim. Kurtosis (36/119)	-1.072600	0.114200
Trim. Skewness (37/119)	-0.098800	0.779400	Trim. Kurtosis (37/119)	-1.063900	0.123600
Trim. Skewness (38/119)	-0.107700	0.764200	Trim. Kurtosis (38/119)	-1.044800	0.138800
Trim. Skewness (39/119)	-0.105900	0.771800	Trim. Kurtosis (39/119)	-1.032100	0.152800
Trim. Skewness (40/119)	-0.133100	0.718800	Trim. Kurtosis (40/119)	-0.998300	0.177000

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