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R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 22:43:49 +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/t1291156914tc8rzwn9crei36t.htm/, Retrieved Mon, 29 Apr 2024 13:21:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103860, Retrieved Mon, 29 Apr 2024 13:21:40 +0000

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No (this computation is public)

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Estimated Impact

132

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 22:43:49] [13dfa60174f50d862e8699db2153bfc5] [Current]

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0,000949857
0,003304586
-0,005849568
0,000340194
0,006988637
-0,005859036
-0,002959429
0,005723023
0,007496037
0,007786372
0,004020198
0,001664743
0,005494311
-0,003377156
-0,001349887
0,001016285
-0,00499283
0,000822095
-0,002068743
0,000944119
0,002092279
-0,003008185
-0,00188721
0,00176024
-0,002596908
-0,000291084
-0,002399994
0,000506741
-0,005961139
-0,000926634
-0,041879961
0,00224475
-0,005497067
-0,001320681
-0,004629816
0,002795147
0,002463298
-0,008851837
-0,00282843
0,00415793
-0,000688862
-0,001076482
0,004607617
-0,003785634
-0,005878375
-0,005975913
-0,001479393
-0,002701236
-0,014891357
-0,007785257
-0,003424982
0
0,001860052
-0,001001271
-0,001701131
-0,001080233
-0,011643043
-0,000644652
0,00538926
0,00020311
-0,007147203
-0,007438579
-0,004673645
0,008635927
-0,006278423
0,003345817
-0,005809469
0,007368399
0,003590793
0,006046307
0,011936092
0,008431778
-0,001694645
-0,004333109
0,004750729
-0,004517339
0,012202298
0,004012589
-8,64612E-05
0,002715292
0,000420857
-0,011932133
-0,00148495
-0,001339034
-0,008375529
0,005667138
0,007960968
-0,003842715
-0,001321056
-0,007451423
0,002216529
0,000691473
-0,021116175
-1,88406E-05
0,007573603
0,020442756
-0,001636996
-0,006817473
-0,008989928
-0,000377116
-0,017280021
-0,014843792
0,005601591
-0,007348978
0,005014741
0,003594209
0,009330273
0,0080203
0,008491012
0,004088476
0,002360499
0,006497352
0,002676585
0,008775697
0,002261572
0,000811637
-0,006325843
-0,011611444
0,010129673

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	2.266606	FISHER beta 2	10.317578
FISHER gamma 1	-1.505525	FISHER gamma 2	7.317578
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-6.704801	FISHER Test 2	16.294282
FISHER Test 1 Probability	0.000000	FISHER Test 2 Probability	0.000000
Pearson 2	-0.140834
Yule using Quartile definition:Weighted Average at Xnp	-0.032081
Yule using Quartile definition:Weighted Average at X(n+1)p	0.009076
Yule using Quartile definition:Empirical Distribution Function	0.009076
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.009076
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.004819
Yule using Quartile definition:Closest Observation	-0.042034
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.009076
Yule using Quartile definition:MS Excel (old versions)	0.009076
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-1.524813	Kurtosis (small sample)	7.686775
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-6.875274	TEST 1 (small sample)	17.466091
TEST 1 Prob. (small sample)	0.000000	TEST 1 Prob. (small sample)	0.000000
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

2.266606 & FISHER beta 2

10.317578 \tabularnewline FISHER gamma 1

-1.505525 & FISHER gamma 2

7.317578 \tabularnewline FISHER gamma 1 (S.E.)

0.224544 & FISHER gamma 2 (S.E.)

0.449089 \tabularnewline FISHER Test 1

-6.704801 & FISHER Test 2

16.294282 \tabularnewline FISHER Test 1 Probability

0.000000 & FISHER Test 2 Probability

0.000000 \tabularnewline Pearson 2

-0.140834 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.032081 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.009076 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.009076 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.009076 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

-0.004819 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.042034 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.009076 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.009076 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-1.524813 & Kurtosis (small sample)

7.686775 \tabularnewline Skewness S.E. (small sample)

0.221782 & Kurtosis S.E. (small sample)

0.440097 \tabularnewline TEST 1 (small sample)

-6.875274 & TEST 1 (small sample)

17.466091 \tabularnewline TEST 1 Prob. (small sample)

0.000000 & TEST 1 Prob. (small sample)

0.000000 \tabularnewline Observations

119 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103860&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]

2.266606[/C][C]FISHER beta 2[/C]

10.317578[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-1.505525[/C][C]FISHER gamma 2[/C]

7.317578[/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]

-6.704801[/C][C]FISHER Test 2[/C]

16.294282[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.000000[/C][C]FISHER Test 2 Probability[/C]

0.000000[/C][/ROW] [ROW][C]Pearson 2[/C]

-0.140834[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.032081[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.009076[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.009076[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.009076[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

-0.004819[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.042034[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.009076[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.009076[/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]

-1.524813[/C][C]Kurtosis (small sample)[/C]

7.686775[/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]

-6.875274[/C][C]TEST 1 (small sample)[/C]

17.466091[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.000000[/C][C]TEST 1 Prob. (small sample)[/C]

0.000000[/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=103860&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103860&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	2.266606	FISHER beta 2	10.317578
FISHER gamma 1	-1.505525	FISHER gamma 2	7.317578
FISHER gamma 1 (S.E.)	0.224544	FISHER gamma 2 (S.E.)	0.449089
FISHER Test 1	-6.704801	FISHER Test 2	16.294282
FISHER Test 1 Probability	0.000000	FISHER Test 2 Probability	0.000000
Pearson 2	-0.140834
Yule using Quartile definition:Weighted Average at Xnp	-0.032081
Yule using Quartile definition:Weighted Average at X(n+1)p	0.009076
Yule using Quartile definition:Empirical Distribution Function	0.009076
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.009076
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.004819
Yule using Quartile definition:Closest Observation	-0.042034
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.009076
Yule using Quartile definition:MS Excel (old versions)	0.009076
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-1.524813	Kurtosis (small sample)	7.686775
Skewness S.E. (small sample)	0.221782	Kurtosis S.E. (small sample)	0.440097
TEST 1 (small sample)	-6.875274	TEST 1 (small sample)	17.466091
TEST 1 Prob. (small sample)	0.000000	TEST 1 Prob. (small sample)	0.000000
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)	-1.524800	0.000000	Trim. Kurtosis (0/119)	7.686800	0.000000
Trim. Skewness (1/119)	-0.525600	0.018200	Trim. Kurtosis (1/119)	0.658100	0.136200
Trim. Skewness (2/119)	-0.365900	0.103200	Trim. Kurtosis (2/119)	0.087800	0.841400
Trim. Skewness (3/119)	-0.294200	0.193600	Trim. Kurtosis (3/119)	-0.200300	0.652800
Trim. Skewness (4/119)	-0.236600	0.298400	Trim. Kurtosis (4/119)	-0.335900	0.459200
Trim. Skewness (5/119)	-0.139200	0.541800	Trim. Kurtosis (5/119)	-0.570400	0.211200
Trim. Skewness (6/119)	-0.100300	0.667200	Trim. Kurtosis (6/119)	-0.620000	0.180200
Trim. Skewness (7/119)	-0.054500	0.810400	Trim. Kurtosis (7/119)	-0.691400	0.138800
Trim. Skewness (8/119)	0.009200	0.968000	Trim. Kurtosis (8/119)	-0.817300	0.081800
Trim. Skewness (9/119)	0.013400	0.952200	Trim. Kurtosis (9/119)	-0.827200	0.081800
Trim. Skewness (10/119)	0.024200	0.920400	Trim. Kurtosis (10/119)	-0.837700	0.080200
Trim. Skewness (11/119)	0.027500	0.904400	Trim. Kurtosis (11/119)	-0.846700	0.080200
Trim. Skewness (12/119)	0.021700	0.928200	Trim. Kurtosis (12/119)	-0.847000	0.083600
Trim. Skewness (13/119)	0.012000	0.960200	Trim. Kurtosis (13/119)	-0.844200	0.087200
Trim. Skewness (14/119)	0.001300	0.992000	Trim. Kurtosis (14/119)	-0.854400	0.087200
Trim. Skewness (15/119)	-0.011300	0.960200	Trim. Kurtosis (15/119)	-0.878300	0.081800
Trim. Skewness (16/119)	-0.021000	0.928200	Trim. Kurtosis (16/119)	-0.900200	0.076800
Trim. Skewness (17/119)	-0.027100	0.912400	Trim. Kurtosis (17/119)	-0.906800	0.078400
Trim. Skewness (18/119)	-0.034600	0.888600	Trim. Kurtosis (18/119)	-0.890800	0.087200
Trim. Skewness (19/119)	-0.035500	0.888600	Trim. Kurtosis (19/119)	-0.870800	0.099000
Trim. Skewness (20/119)	-0.043700	0.865000	Trim. Kurtosis (20/119)	-0.846800	0.111800
Trim. Skewness (21/119)	-0.052400	0.841400	Trim. Kurtosis (21/119)	-0.830400	0.123600
Trim. Skewness (22/119)	-0.062100	0.818000	Trim. Kurtosis (22/119)	-0.820900	0.133600
Trim. Skewness (23/119)	-0.070700	0.794800	Trim. Kurtosis (23/119)	-0.827600	0.133600
Trim. Skewness (24/119)	-0.063500	0.818000	Trim. Kurtosis (24/119)	-0.841700	0.133600
Trim. Skewness (25/119)	-0.041300	0.880800	Trim. Kurtosis (25/119)	-0.876700	0.123600
Trim. Skewness (26/119)	-0.021800	0.936200	Trim. Kurtosis (26/119)	-0.916300	0.111800
Trim. Skewness (27/119)	-0.003100	0.984000	Trim. Kurtosis (27/119)	-0.914000	0.118800
Trim. Skewness (28/119)	0.006800	0.976000	Trim. Kurtosis (28/119)	-0.903700	0.128600
Trim. Skewness (29/119)	0.022200	0.936200	Trim. Kurtosis (29/119)	-0.913800	0.128600
Trim. Skewness (30/119)	0.036000	0.904400	Trim. Kurtosis (30/119)	-0.958400	0.116400
Trim. Skewness (31/119)	0.070800	0.818000	Trim. Kurtosis (31/119)	-0.993300	0.109600
Trim. Skewness (32/119)	0.075400	0.810400	Trim. Kurtosis (32/119)	-1.013100	0.109600
Trim. Skewness (33/119)	0.096800	0.764200	Trim. Kurtosis (33/119)	-1.044800	0.103200
Trim. Skewness (34/119)	0.093700	0.771800	Trim. Kurtosis (34/119)	-1.078000	0.099000
Trim. Skewness (35/119)	0.130700	0.696600	Trim. Kurtosis (35/119)	-1.084100	0.103200
Trim. Skewness (36/119)	0.148600	0.667200	Trim. Kurtosis (36/119)	-1.062000	0.118800
Trim. Skewness (37/119)	0.170700	0.624200	Trim. Kurtosis (37/119)	-1.058300	0.126000
Trim. Skewness (38/119)	0.206300	0.562000	Trim. Kurtosis (38/119)	-1.040300	0.141600
Trim. Skewness (39/119)	0.249300	0.496400	Trim. Kurtosis (39/119)	-1.021300	0.158600
Trim. Skewness (40/119)	0.305600	0.418000	Trim. Kurtosis (40/119)	-1.009400	0.170600

\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)

-1.524800

0.000000 & Trim. Kurtosis (0/119)

7.686800

0.000000 \tabularnewline Trim. Skewness (1/119)

-0.525600

0.018200 & Trim. Kurtosis (1/119)

0.658100

0.136200 \tabularnewline Trim. Skewness (2/119)

-0.365900

0.103200 & Trim. Kurtosis (2/119)

0.087800

0.841400 \tabularnewline Trim. Skewness (3/119)

-0.294200

0.193600 & Trim. Kurtosis (3/119)

-0.200300

0.652800 \tabularnewline Trim. Skewness (4/119)

-0.236600

0.298400 & Trim. Kurtosis (4/119)

-0.335900

0.459200 \tabularnewline Trim. Skewness (5/119)

-0.139200

0.541800 & Trim. Kurtosis (5/119)

-0.570400

0.211200 \tabularnewline Trim. Skewness (6/119)

-0.100300

0.667200 & Trim. Kurtosis (6/119)

-0.620000

0.180200 \tabularnewline Trim. Skewness (7/119)

-0.054500

0.810400 & Trim. Kurtosis (7/119)

-0.691400

0.138800 \tabularnewline Trim. Skewness (8/119)

0.009200

0.968000 & Trim. Kurtosis (8/119)

-0.817300

0.081800 \tabularnewline Trim. Skewness (9/119)

0.013400

0.952200 & Trim. Kurtosis (9/119)

-0.827200

0.081800 \tabularnewline Trim. Skewness (10/119)

0.024200

0.920400 & Trim. Kurtosis (10/119)

-0.837700

0.080200 \tabularnewline Trim. Skewness (11/119)

0.027500

0.904400 & Trim. Kurtosis (11/119)

-0.846700

0.080200 \tabularnewline Trim. Skewness (12/119)

0.021700

0.928200 & Trim. Kurtosis (12/119)

-0.847000

0.083600 \tabularnewline Trim. Skewness (13/119)

0.012000

0.960200 & Trim. Kurtosis (13/119)

-0.844200

0.087200 \tabularnewline Trim. Skewness (14/119)

0.001300

0.992000 & Trim. Kurtosis (14/119)

-0.854400

0.087200 \tabularnewline Trim. Skewness (15/119)

-0.011300

0.960200 & Trim. Kurtosis (15/119)

-0.878300

0.081800 \tabularnewline Trim. Skewness (16/119)

-0.021000

0.928200 & Trim. Kurtosis (16/119)

-0.900200

0.076800 \tabularnewline Trim. Skewness (17/119)

-0.027100

0.912400 & Trim. Kurtosis (17/119)

-0.906800

0.078400 \tabularnewline Trim. Skewness (18/119)

-0.034600

0.888600 & Trim. Kurtosis (18/119)

-0.890800

0.087200 \tabularnewline Trim. Skewness (19/119)

-0.035500

0.888600 & Trim. Kurtosis (19/119)

-0.870800

0.099000 \tabularnewline Trim. Skewness (20/119)

-0.043700

0.865000 & Trim. Kurtosis (20/119)

-0.846800

0.111800 \tabularnewline Trim. Skewness (21/119)

-0.052400

0.841400 & Trim. Kurtosis (21/119)

-0.830400

0.123600 \tabularnewline Trim. Skewness (22/119)

-0.062100

0.818000 & Trim. Kurtosis (22/119)

-0.820900

0.133600 \tabularnewline Trim. Skewness (23/119)

-0.070700

0.794800 & Trim. Kurtosis (23/119)

-0.827600

0.133600 \tabularnewline Trim. Skewness (24/119)

-0.063500

0.818000 & Trim. Kurtosis (24/119)

-0.841700

0.133600 \tabularnewline Trim. Skewness (25/119)

-0.041300

0.880800 & Trim. Kurtosis (25/119)

-0.876700

0.123600 \tabularnewline Trim. Skewness (26/119)

-0.021800

0.936200 & Trim. Kurtosis (26/119)

-0.916300

0.111800 \tabularnewline Trim. Skewness (27/119)

-0.003100

0.984000 & Trim. Kurtosis (27/119)

-0.914000

0.118800 \tabularnewline Trim. Skewness (28/119)

0.006800

0.976000 & Trim. Kurtosis (28/119)

-0.903700

0.128600 \tabularnewline Trim. Skewness (29/119)

0.022200

0.936200 & Trim. Kurtosis (29/119)

-0.913800

0.128600 \tabularnewline Trim. Skewness (30/119)

0.036000

0.904400 & Trim. Kurtosis (30/119)

-0.958400

0.116400 \tabularnewline Trim. Skewness (31/119)

0.070800

0.818000 & Trim. Kurtosis (31/119)

-0.993300

0.109600 \tabularnewline Trim. Skewness (32/119)

0.075400

0.810400 & Trim. Kurtosis (32/119)

-1.013100

0.109600 \tabularnewline Trim. Skewness (33/119)

0.096800

0.764200 & Trim. Kurtosis (33/119)

-1.044800

0.103200 \tabularnewline Trim. Skewness (34/119)

0.093700

0.771800 & Trim. Kurtosis (34/119)

-1.078000

0.099000 \tabularnewline Trim. Skewness (35/119)

0.130700

0.696600 & Trim. Kurtosis (35/119)

-1.084100

0.103200 \tabularnewline Trim. Skewness (36/119)

0.148600

0.667200 & Trim. Kurtosis (36/119)

-1.062000

0.118800 \tabularnewline Trim. Skewness (37/119)

0.170700

0.624200 & Trim. Kurtosis (37/119)

-1.058300

0.126000 \tabularnewline Trim. Skewness (38/119)

0.206300

0.562000 & Trim. Kurtosis (38/119)

-1.040300

0.141600 \tabularnewline Trim. Skewness (39/119)

0.249300

0.496400 & Trim. Kurtosis (39/119)

-1.021300

0.158600 \tabularnewline Trim. Skewness (40/119)

0.305600

0.418000 & Trim. Kurtosis (40/119)

-1.009400

0.170600 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103860&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]

-1.524800[/C]

0.000000[/C][C]Trim. Kurtosis (0/119)[/C]

7.686800[/C]

0.000000[/C][/ROW] [ROW][C]Trim. Skewness (1/119)[/C]

-0.525600[/C]

0.018200[/C][C]Trim. Kurtosis (1/119)[/C]

0.658100[/C]

0.136200[/C][/ROW] [ROW][C]Trim. Skewness (2/119)[/C]

-0.365900[/C]

0.103200[/C][C]Trim. Kurtosis (2/119)[/C]

0.087800[/C]

0.841400[/C][/ROW] [ROW][C]Trim. Skewness (3/119)[/C]

-0.294200[/C]

0.193600[/C][C]Trim. Kurtosis (3/119)[/C]

-0.200300[/C]

0.652800[/C][/ROW] [ROW][C]Trim. Skewness (4/119)[/C]

-0.236600[/C]

0.298400[/C][C]Trim. Kurtosis (4/119)[/C]

-0.335900[/C]

0.459200[/C][/ROW] [ROW][C]Trim. Skewness (5/119)[/C]

-0.139200[/C]

0.541800[/C][C]Trim. Kurtosis (5/119)[/C]

-0.570400[/C]

0.211200[/C][/ROW] [ROW][C]Trim. Skewness (6/119)[/C]

-0.100300[/C]

0.667200[/C][C]Trim. Kurtosis (6/119)[/C]

-0.620000[/C]

0.180200[/C][/ROW] [ROW][C]Trim. Skewness (7/119)[/C]

-0.054500[/C]

0.810400[/C][C]Trim. Kurtosis (7/119)[/C]

-0.691400[/C]

0.138800[/C][/ROW] [ROW][C]Trim. Skewness (8/119)[/C]

0.009200[/C]

0.968000[/C][C]Trim. Kurtosis (8/119)[/C]

-0.817300[/C]

0.081800[/C][/ROW] [ROW][C]Trim. Skewness (9/119)[/C]

0.013400[/C]

0.952200[/C][C]Trim. Kurtosis (9/119)[/C]

-0.827200[/C]

0.081800[/C][/ROW] [ROW][C]Trim. Skewness (10/119)[/C]

0.024200[/C]

0.920400[/C][C]Trim. Kurtosis (10/119)[/C]

-0.837700[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (11/119)[/C]

0.027500[/C]

0.904400[/C][C]Trim. Kurtosis (11/119)[/C]

-0.846700[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (12/119)[/C]

0.021700[/C]

0.928200[/C][C]Trim. Kurtosis (12/119)[/C]

-0.847000[/C]

0.083600[/C][/ROW] [ROW][C]Trim. Skewness (13/119)[/C]

0.012000[/C]

0.960200[/C][C]Trim. Kurtosis (13/119)[/C]

-0.844200[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (14/119)[/C]

0.001300[/C]

0.992000[/C][C]Trim. Kurtosis (14/119)[/C]

-0.854400[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (15/119)[/C]

-0.011300[/C]

0.960200[/C][C]Trim. Kurtosis (15/119)[/C]

-0.878300[/C]

0.081800[/C][/ROW] [ROW][C]Trim. Skewness (16/119)[/C]

-0.021000[/C]

0.928200[/C][C]Trim. Kurtosis (16/119)[/C]

-0.900200[/C]

0.076800[/C][/ROW] [ROW][C]Trim. Skewness (17/119)[/C]

-0.027100[/C]

0.912400[/C][C]Trim. Kurtosis (17/119)[/C]

-0.906800[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (18/119)[/C]

-0.034600[/C]

0.888600[/C][C]Trim. Kurtosis (18/119)[/C]

-0.890800[/C]

0.087200[/C][/ROW] [ROW][C]Trim. Skewness (19/119)[/C]

-0.035500[/C]

0.888600[/C][C]Trim. Kurtosis (19/119)[/C]

-0.870800[/C]

0.099000[/C][/ROW] [ROW][C]Trim. Skewness (20/119)[/C]

-0.043700[/C]

0.865000[/C][C]Trim. Kurtosis (20/119)[/C]

-0.846800[/C]

0.111800[/C][/ROW] [ROW][C]Trim. Skewness (21/119)[/C]

-0.052400[/C]

0.841400[/C][C]Trim. Kurtosis (21/119)[/C]

-0.830400[/C]

0.123600[/C][/ROW] [ROW][C]Trim. Skewness (22/119)[/C]

-0.062100[/C]

0.818000[/C][C]Trim. Kurtosis (22/119)[/C]

-0.820900[/C]

0.133600[/C][/ROW] [ROW][C]Trim. Skewness (23/119)[/C]

-0.070700[/C]

0.794800[/C][C]Trim. Kurtosis (23/119)[/C]

-0.827600[/C]

0.133600[/C][/ROW] [ROW][C]Trim. Skewness (24/119)[/C]

-0.063500[/C]

0.818000[/C][C]Trim. Kurtosis (24/119)[/C]

-0.841700[/C]

0.133600[/C][/ROW] [ROW][C]Trim. Skewness (25/119)[/C]

-0.041300[/C]

0.880800[/C][C]Trim. Kurtosis (25/119)[/C]

-0.876700[/C]

0.123600[/C][/ROW] [ROW][C]Trim. Skewness (26/119)[/C]

-0.021800[/C]

0.936200[/C][C]Trim. Kurtosis (26/119)[/C]

-0.916300[/C]

0.111800[/C][/ROW] [ROW][C]Trim. Skewness (27/119)[/C]

-0.003100[/C]

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

-0.914000[/C]

0.118800[/C][/ROW] [ROW][C]Trim. Skewness (28/119)[/C]

0.006800[/C]

0.976000[/C][C]Trim. Kurtosis (28/119)[/C]

-0.903700[/C]

0.128600[/C][/ROW] [ROW][C]Trim. Skewness (29/119)[/C]

0.022200[/C]

0.936200[/C][C]Trim. Kurtosis (29/119)[/C]

-0.913800[/C]

0.128600[/C][/ROW] [ROW][C]Trim. Skewness (30/119)[/C]

0.036000[/C]

0.904400[/C][C]Trim. Kurtosis (30/119)[/C]

-0.958400[/C]

0.116400[/C][/ROW] [ROW][C]Trim. Skewness (31/119)[/C]

0.070800[/C]

0.818000[/C][C]Trim. Kurtosis (31/119)[/C]

-0.993300[/C]

0.109600[/C][/ROW] [ROW][C]Trim. Skewness (32/119)[/C]

0.075400[/C]

0.810400[/C][C]Trim. Kurtosis (32/119)[/C]

-1.013100[/C]

0.109600[/C][/ROW] [ROW][C]Trim. Skewness (33/119)[/C]

0.096800[/C]

0.764200[/C][C]Trim. Kurtosis (33/119)[/C]

-1.044800[/C]

0.103200[/C][/ROW] [ROW][C]Trim. Skewness (34/119)[/C]

0.093700[/C]

0.771800[/C][C]Trim. Kurtosis (34/119)[/C]

-1.078000[/C]

0.099000[/C][/ROW] [ROW][C]Trim. Skewness (35/119)[/C]

0.130700[/C]

0.696600[/C][C]Trim. Kurtosis (35/119)[/C]

-1.084100[/C]

0.103200[/C][/ROW] [ROW][C]Trim. Skewness (36/119)[/C]

0.148600[/C]

0.667200[/C][C]Trim. Kurtosis (36/119)[/C]

-1.062000[/C]

0.118800[/C][/ROW] [ROW][C]Trim. Skewness (37/119)[/C]

0.170700[/C]

0.624200[/C][C]Trim. Kurtosis (37/119)[/C]

-1.058300[/C]

0.126000[/C][/ROW] [ROW][C]Trim. Skewness (38/119)[/C]

0.206300[/C]

0.562000[/C][C]Trim. Kurtosis (38/119)[/C]

-1.040300[/C]

0.141600[/C][/ROW] [ROW][C]Trim. Skewness (39/119)[/C]

0.249300[/C]

0.496400[/C][C]Trim. Kurtosis (39/119)[/C]

-1.021300[/C]

0.158600[/C][/ROW] [ROW][C]Trim. Skewness (40/119)[/C]

0.305600[/C]

0.418000[/C][C]Trim. Kurtosis (40/119)[/C]

-1.009400[/C]

0.170600[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103860&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103860&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)	-1.524800	0.000000	Trim. Kurtosis (0/119)	7.686800	0.000000
Trim. Skewness (1/119)	-0.525600	0.018200	Trim. Kurtosis (1/119)	0.658100	0.136200
Trim. Skewness (2/119)	-0.365900	0.103200	Trim. Kurtosis (2/119)	0.087800	0.841400
Trim. Skewness (3/119)	-0.294200	0.193600	Trim. Kurtosis (3/119)	-0.200300	0.652800
Trim. Skewness (4/119)	-0.236600	0.298400	Trim. Kurtosis (4/119)	-0.335900	0.459200
Trim. Skewness (5/119)	-0.139200	0.541800	Trim. Kurtosis (5/119)	-0.570400	0.211200
Trim. Skewness (6/119)	-0.100300	0.667200	Trim. Kurtosis (6/119)	-0.620000	0.180200
Trim. Skewness (7/119)	-0.054500	0.810400	Trim. Kurtosis (7/119)	-0.691400	0.138800
Trim. Skewness (8/119)	0.009200	0.968000	Trim. Kurtosis (8/119)	-0.817300	0.081800
Trim. Skewness (9/119)	0.013400	0.952200	Trim. Kurtosis (9/119)	-0.827200	0.081800
Trim. Skewness (10/119)	0.024200	0.920400	Trim. Kurtosis (10/119)	-0.837700	0.080200
Trim. Skewness (11/119)	0.027500	0.904400	Trim. Kurtosis (11/119)	-0.846700	0.080200
Trim. Skewness (12/119)	0.021700	0.928200	Trim. Kurtosis (12/119)	-0.847000	0.083600
Trim. Skewness (13/119)	0.012000	0.960200	Trim. Kurtosis (13/119)	-0.844200	0.087200
Trim. Skewness (14/119)	0.001300	0.992000	Trim. Kurtosis (14/119)	-0.854400	0.087200
Trim. Skewness (15/119)	-0.011300	0.960200	Trim. Kurtosis (15/119)	-0.878300	0.081800
Trim. Skewness (16/119)	-0.021000	0.928200	Trim. Kurtosis (16/119)	-0.900200	0.076800
Trim. Skewness (17/119)	-0.027100	0.912400	Trim. Kurtosis (17/119)	-0.906800	0.078400
Trim. Skewness (18/119)	-0.034600	0.888600	Trim. Kurtosis (18/119)	-0.890800	0.087200
Trim. Skewness (19/119)	-0.035500	0.888600	Trim. Kurtosis (19/119)	-0.870800	0.099000
Trim. Skewness (20/119)	-0.043700	0.865000	Trim. Kurtosis (20/119)	-0.846800	0.111800
Trim. Skewness (21/119)	-0.052400	0.841400	Trim. Kurtosis (21/119)	-0.830400	0.123600
Trim. Skewness (22/119)	-0.062100	0.818000	Trim. Kurtosis (22/119)	-0.820900	0.133600
Trim. Skewness (23/119)	-0.070700	0.794800	Trim. Kurtosis (23/119)	-0.827600	0.133600
Trim. Skewness (24/119)	-0.063500	0.818000	Trim. Kurtosis (24/119)	-0.841700	0.133600
Trim. Skewness (25/119)	-0.041300	0.880800	Trim. Kurtosis (25/119)	-0.876700	0.123600
Trim. Skewness (26/119)	-0.021800	0.936200	Trim. Kurtosis (26/119)	-0.916300	0.111800
Trim. Skewness (27/119)	-0.003100	0.984000	Trim. Kurtosis (27/119)	-0.914000	0.118800
Trim. Skewness (28/119)	0.006800	0.976000	Trim. Kurtosis (28/119)	-0.903700	0.128600
Trim. Skewness (29/119)	0.022200	0.936200	Trim. Kurtosis (29/119)	-0.913800	0.128600
Trim. Skewness (30/119)	0.036000	0.904400	Trim. Kurtosis (30/119)	-0.958400	0.116400
Trim. Skewness (31/119)	0.070800	0.818000	Trim. Kurtosis (31/119)	-0.993300	0.109600
Trim. Skewness (32/119)	0.075400	0.810400	Trim. Kurtosis (32/119)	-1.013100	0.109600
Trim. Skewness (33/119)	0.096800	0.764200	Trim. Kurtosis (33/119)	-1.044800	0.103200
Trim. Skewness (34/119)	0.093700	0.771800	Trim. Kurtosis (34/119)	-1.078000	0.099000
Trim. Skewness (35/119)	0.130700	0.696600	Trim. Kurtosis (35/119)	-1.084100	0.103200
Trim. Skewness (36/119)	0.148600	0.667200	Trim. Kurtosis (36/119)	-1.062000	0.118800
Trim. Skewness (37/119)	0.170700	0.624200	Trim. Kurtosis (37/119)	-1.058300	0.126000
Trim. Skewness (38/119)	0.206300	0.562000	Trim. Kurtosis (38/119)	-1.040300	0.141600
Trim. Skewness (39/119)	0.249300	0.496400	Trim. Kurtosis (39/119)	-1.021300	0.158600
Trim. Skewness (40/119)	0.305600	0.418000	Trim. Kurtosis (40/119)	-1.009400	0.170600

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