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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Moduleskewkurt.wasp
Title produced by softwareSkewness and Kurtosis
Date of computationThu, 25 Nov 2010 20:39:37 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/25/t1290717525a4ekh658iwyhkiy.htm/, Retrieved Fri, 19 Apr 2024 11:14:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=101512, Retrieved Fri, 19 Apr 2024 11:14:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact153

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Skewness and Kurtosis] [] [2010-11-24 16:04:29] [4dfa50539945b119a90a7606969443b9]
-    D    [Skewness and Kurtosis] [] [2010-11-25 20:39:37] [5a59313293e5c9f616ad36f6edd018c5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.482
0.514
0.521
0.545
0.632
0.707
0.745
0.764
0.791
0.798
0.805
0.729
0.371
0.365
0.456
0.579
0.664
0.683

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.000943FISHER 4th Cent. Mom.0.000739
FISHER beta 10.112707FISHER beta 21.865075
FISHER gamma 1-0.335718FISHER gamma 2-1.134925
FISHER gamma 1 (S.E.)0.577350FISHER gamma 2 (S.E.)1.154701
FISHER Test 1-0.581481FISHER Test 2-0.982874
FISHER Test 1 Probability0.555200FISHER Test 2 Probability0.322200
Pearson 2-0.588923
Yule using Quartile definition:Weighted Average at Xnp-0.255230
Yule using Quartile definition:Weighted Average at X(n+1)p-0.165128
Yule using Quartile definition:Empirical Distribution Function-0.160173
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.160173
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.174251
Yule using Quartile definition:Closest Observation-0.160173
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.173630
Yule using Quartile definition:MS Excel (old versions)-0.160173
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.367042Kurtosis (small sample)-1.102420
Skewness S.E. (small sample)0.536278Kurtosis S.E. (small sample)1.037795
TEST 1 (small sample)-0.684425TEST 1 (small sample)-1.062271
TEST 1 Prob. (small sample)0.490200TEST 1 Prob. (small sample)0.284600
Observations18

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-0.000943 & FISHER 4th Cent. Mom.0.000739 \tabularnewline FISHER beta 10.112707 & FISHER beta 21.865075 \tabularnewline FISHER gamma 1-0.335718 & FISHER gamma 2-1.134925 \tabularnewline FISHER gamma 1 (S.E.)0.577350 & FISHER gamma 2 (S.E.)1.154701 \tabularnewline FISHER Test 1-0.581481 & FISHER Test 2-0.982874 \tabularnewline FISHER Test 1 Probability0.555200 & FISHER Test 2 Probability0.322200 \tabularnewline Pearson 2-0.588923 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.255230 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.165128 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.160173 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.160173 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.174251 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.160173 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.173630 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.160173 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.367042 & Kurtosis (small sample)-1.102420 \tabularnewline Skewness S.E. (small sample)0.536278 & Kurtosis S.E. (small sample)1.037795 \tabularnewline TEST 1 (small sample)-0.684425 & TEST 1 (small sample)-1.062271 \tabularnewline TEST 1 Prob. (small sample)0.490200 & TEST 1 Prob. (small sample)0.284600 \tabularnewline Observations18 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=101512&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]-0.000943[/C][C]FISHER 4th Cent. Mom.[/C]0.000739[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.112707[/C][C]FISHER beta 2[/C]1.865075[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.335718[/C][C]FISHER gamma 2[/C]-1.134925[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.577350[/C][C]FISHER gamma 2 (S.E.)[/C]1.154701[/C][/ROW] [ROW][C]FISHER Test 1[/C]-0.581481[/C][C]FISHER Test 2[/C]-0.982874[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.555200[/C][C]FISHER Test 2 Probability[/C]0.322200[/C][/ROW] [ROW][C]Pearson 2[/C]-0.588923[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.255230[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.165128[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.160173[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.160173[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.174251[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.160173[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.173630[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.160173[/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]-0.367042[/C][C]Kurtosis (small sample)[/C]-1.102420[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.536278[/C][C]Kurtosis S.E. (small sample)[/C]1.037795[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]-0.684425[/C][C]TEST 1 (small sample)[/C]-1.062271[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.490200[/C][C]TEST 1 Prob. (small sample)[/C]0.284600[/C][/ROW] [ROW][C]Observations[/C]18[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=101512&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101512&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.000943FISHER 4th Cent. Mom.0.000739
FISHER beta 10.112707FISHER beta 21.865075
FISHER gamma 1-0.335718FISHER gamma 2-1.134925
FISHER gamma 1 (S.E.)0.577350FISHER gamma 2 (S.E.)1.154701
FISHER Test 1-0.581481FISHER Test 2-0.982874
FISHER Test 1 Probability0.555200FISHER Test 2 Probability0.322200
Pearson 2-0.588923
Yule using Quartile definition:Weighted Average at Xnp-0.255230
Yule using Quartile definition:Weighted Average at X(n+1)p-0.165128
Yule using Quartile definition:Empirical Distribution Function-0.160173
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.160173
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.174251
Yule using Quartile definition:Closest Observation-0.160173
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.173630
Yule using Quartile definition:MS Excel (old versions)-0.160173
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.367042Kurtosis (small sample)-1.102420
Skewness S.E. (small sample)0.536278Kurtosis S.E. (small sample)1.037795
TEST 1 (small sample)-0.684425TEST 1 (small sample)-1.062271
TEST 1 Prob. (small sample)0.490200TEST 1 Prob. (small sample)0.284600
Observations18






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/18)-0.3670000.490200Trim. Kurtosis (0/18)-1.1024000.284600
Trim. Skewness (1/18)-0.3436000.541800Trim. Kurtosis (1/18)-1.0081000.352400
Trim. Skewness (2/18)-0.1338000.818000Trim. Kurtosis (2/18)-1.4749000.200600
Trim. Skewness (3/18)-0.1613000.794800Trim. Kurtosis (3/18)-1.5772000.200600
Trim. Skewness (4/18)-0.1806000.787200Trim. Kurtosis (4/18)-1.6611000.211200
Trim. Skewness (5/18)-0.3092000.674400Trim. Kurtosis (5/18)-1.4976000.307800
Trim. Skewness (6/18)-0.4855000.562000Trim. Kurtosis (6/18)-1.3018000.453200

\begin{tabular}{lllllllll}
\hline

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data \tabularnewline

Skewness Measure (small sample)
ValueProbabilityKurtosis Measure (small sample)ValueProbability \tabularnewline Trim. Skewness (0/18)-0.3670000.490200 & Trim. Kurtosis (0/18)-1.1024000.284600 \tabularnewline Trim. Skewness (1/18)-0.3436000.541800 & Trim. Kurtosis (1/18)-1.0081000.352400 \tabularnewline Trim. Skewness (2/18)-0.1338000.818000 & Trim. Kurtosis (2/18)-1.4749000.200600 \tabularnewline Trim. Skewness (3/18)-0.1613000.794800 & Trim. Kurtosis (3/18)-1.5772000.200600 \tabularnewline Trim. Skewness (4/18)-0.1806000.787200 & Trim. Kurtosis (4/18)-1.6611000.211200 \tabularnewline Trim. Skewness (5/18)-0.3092000.674400 & Trim. Kurtosis (5/18)-1.4976000.307800 \tabularnewline Trim. Skewness (6/18)-0.4855000.562000 & Trim. Kurtosis (6/18)-1.3018000.453200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=101512&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 (0/18)[/C]-0.367000[/C]0.490200[/C][C]Trim. Kurtosis (0/18)[/C]-1.102400[/C]0.284600[/C][/ROW] [ROW][C]Trim. Skewness (1/18)[/C]-0.343600[/C]0.541800[/C][C]Trim. Kurtosis (1/18)[/C]-1.008100[/C]0.352400[/C][/ROW] [ROW][C]Trim. Skewness (2/18)[/C]-0.133800[/C]0.818000[/C][C]Trim. Kurtosis (2/18)[/C]-1.474900[/C]0.200600[/C][/ROW] [ROW][C]Trim. Skewness (3/18)[/C]-0.161300[/C]0.794800[/C][C]Trim. Kurtosis (3/18)[/C]-1.577200[/C]0.200600[/C][/ROW] [ROW][C]Trim. Skewness (4/18)[/C]-0.180600[/C]0.787200[/C][C]Trim. Kurtosis (4/18)[/C]-1.661100[/C]0.211200[/C][/ROW] [ROW][C]Trim. Skewness (5/18)[/C]-0.309200[/C]0.674400[/C][C]Trim. Kurtosis (5/18)[/C]-1.497600[/C]0.307800[/C][/ROW] [ROW][C]Trim. Skewness (6/18)[/C]-0.485500[/C]0.562000[/C][C]Trim. Kurtosis (6/18)[/C]-1.301800[/C]0.453200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=101512&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101512&T=1

As an alternative you can also use a QR Code:  
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)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/18)-0.3670000.490200Trim. Kurtosis (0/18)-1.1024000.284600
Trim. Skewness (1/18)-0.3436000.541800Trim. Kurtosis (1/18)-1.0081000.352400
Trim. Skewness (2/18)-0.1338000.818000Trim. Kurtosis (2/18)-1.4749000.200600
Trim. Skewness (3/18)-0.1613000.794800Trim. Kurtosis (3/18)-1.5772000.200600
Trim. Skewness (4/18)-0.1806000.787200Trim. Kurtosis (4/18)-1.6611000.211200
Trim. Skewness (5/18)-0.3092000.674400Trim. Kurtosis (5/18)-1.4976000.307800
Trim. Skewness (6/18)-0.4855000.562000Trim. Kurtosis (6/18)-1.3018000.453200


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):