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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 computationTue, 30 Nov 2010 18:55:30 +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/30/t12911432127cb87auittyjtc8.htm/, Retrieved Mon, 29 Apr 2024 11:04:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103748, Retrieved Mon, 29 Apr 2024 11:04:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact146

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] [Kurtosis analysis...] [2007-09-10 12:58:14] [34354a2f772eeadc2ea8c4c156a37515]
-  M D  [Skewness and Kurtosis] [] [2010-11-30 18:24:16] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:55:30] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0,88
0,91
0,94
0,89
0,84
0,80
0,81
0,86
0,68
0,72
0,72
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0,74
0,72
0,72
0,75
0,79
0,75
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0,61
0,61
0,58
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0,59
0,59
0,58
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0,57
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0,59
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0,57
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0,72
0,64
0,68
0,68
0,64
0,65
0,64
0,64
0,65
0,67
0,65
0,64
0,61
0,62

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.001103FISHER 4th Cent. Mom.0.000306
FISHER beta 12.935764FISHER beta 25.508330
FISHER gamma 11.713407FISHER gamma 22.508330
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 17.662589FISHER Test 25.608797
FISHER Test 1 Probability0.000000FISHER Test 2 Probability0.000000
Pearson 21.239764
Yule using Quartile definition:Weighted Average at Xnp0.666667
Yule using Quartile definition:Weighted Average at X(n+1)p0.703704
Yule using Quartile definition:Empirical Distribution Function0.666667
Yule using Quartile definition:Empirical Distribution Function - Averaging0.692308
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.680000
Yule using Quartile definition:Closest Observation0.666667
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.680000
Yule using Quartile definition:MS Excel (old versions)0.714286
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)1.735172Kurtosis (small sample)2.667785
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)7.855777TEST 1 (small sample)6.086242
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.000000
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.0.001103 & FISHER 4th Cent. Mom.0.000306 \tabularnewline FISHER beta 12.935764 & FISHER beta 25.508330 \tabularnewline FISHER gamma 11.713407 & FISHER gamma 22.508330 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 17.662589 & FISHER Test 25.608797 \tabularnewline FISHER Test 1 Probability0.000000 & FISHER Test 2 Probability0.000000 \tabularnewline Pearson 21.239764 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.666667 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.703704 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.666667 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.692308 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.680000 & & \tabularnewline Yule using Quartile definition:Closest Observation0.666667 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.680000 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.714286 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)1.735172 & Kurtosis (small sample)2.667785 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)7.855777 & TEST 1 (small sample)6.086242 \tabularnewline TEST 1 Prob. (small sample)0.000000 & TEST 1 Prob. (small sample)0.000000 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103748&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]0.001103[/C][C]FISHER 4th Cent. Mom.[/C]0.000306[/C][/ROW] [ROW][C]FISHER beta 1[/C]2.935764[/C][C]FISHER beta 2[/C]5.508330[/C][/ROW] [ROW][C]FISHER gamma 1[/C]1.713407[/C][C]FISHER gamma 2[/C]2.508330[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.223607[/C][C]FISHER gamma 2 (S.E.)[/C]0.447214[/C][/ROW] [ROW][C]FISHER Test 1[/C]7.662589[/C][C]FISHER Test 2[/C]5.608797[/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]1.239764[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.666667[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.703704[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.666667[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.692308[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.680000[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.666667[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.680000[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.714286[/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]1.735172[/C][C]Kurtosis (small sample)[/C]2.667785[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.220879[/C][C]Kurtosis S.E. (small sample)[/C]0.438331[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]7.855777[/C][C]TEST 1 (small sample)[/C]6.086242[/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]120[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103748&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103748&T=0

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

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.001103FISHER 4th Cent. Mom.0.000306
FISHER beta 12.935764FISHER beta 25.508330
FISHER gamma 11.713407FISHER gamma 22.508330
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 17.662589FISHER Test 25.608797
FISHER Test 1 Probability0.000000FISHER Test 2 Probability0.000000
Pearson 21.239764
Yule using Quartile definition:Weighted Average at Xnp0.666667
Yule using Quartile definition:Weighted Average at X(n+1)p0.703704
Yule using Quartile definition:Empirical Distribution Function0.666667
Yule using Quartile definition:Empirical Distribution Function - Averaging0.692308
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.680000
Yule using Quartile definition:Closest Observation0.666667
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.680000
Yule using Quartile definition:MS Excel (old versions)0.714286
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)1.735172Kurtosis (small sample)2.667785
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)7.855777TEST 1 (small sample)6.086242
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.000000
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)1.7352000.000000Trim. Kurtosis (0/120)2.6678000.000000
Trim. Skewness (1/120)1.6899000.000000Trim. Kurtosis (1/120)2.4489000.000000
Trim. Skewness (2/120)1.6641000.000000Trim. Kurtosis (2/120)2.3301000.000000
Trim. Skewness (3/120)1.6447000.000000Trim. Kurtosis (3/120)2.2269000.000000
Trim. Skewness (4/120)1.5981000.000000Trim. Kurtosis (4/120)1.9822000.000000
Trim. Skewness (5/120)1.5570000.000000Trim. Kurtosis (5/120)1.7381000.000200
Trim. Skewness (6/120)1.5275000.000000Trim. Kurtosis (6/120)1.5217000.001000
Trim. Skewness (7/120)1.5296000.000000Trim. Kurtosis (7/120)1.5109000.001200
Trim. Skewness (8/120)1.5356000.000000Trim. Kurtosis (8/120)1.5014000.001400
Trim. Skewness (9/120)1.5331000.000000Trim. Kurtosis (9/120)1.4821000.001800
Trim. Skewness (10/120)1.5231000.000000Trim. Kurtosis (10/120)1.4575000.002200
Trim. Skewness (11/120)1.5167000.000000Trim. Kurtosis (11/120)1.4505000.002600
Trim. Skewness (12/120)1.5162000.000000Trim. Kurtosis (12/120)1.4736000.002400
Trim. Skewness (13/120)1.5244000.000000Trim. Kurtosis (13/120)1.5427000.001600
Trim. Skewness (14/120)1.5100000.000000Trim. Kurtosis (14/120)1.4899000.002600
Trim. Skewness (15/120)1.5024000.000000Trim. Kurtosis (15/120)1.4649000.003600
Trim. Skewness (16/120)1.5416000.000000Trim. Kurtosis (16/120)1.6687000.001000
Trim. Skewness (17/120)1.5537000.000000Trim. Kurtosis (17/120)1.8116000.000400
Trim. Skewness (18/120)1.5418000.000000Trim. Kurtosis (18/120)1.8539000.000400
Trim. Skewness (19/120)1.4833000.000000Trim. Kurtosis (19/120)1.6532000.001600
Trim. Skewness (20/120)1.3288000.000000Trim. Kurtosis (20/120)0.8562000.105200
Trim. Skewness (21/120)1.3174000.000000Trim. Kurtosis (21/120)0.8284000.123600
Trim. Skewness (22/120)1.3345000.000000Trim. Kurtosis (22/120)0.9319000.085400
Trim. Skewness (23/120)1.3327000.000000Trim. Kurtosis (23/120)0.9480000.085400
Trim. Skewness (24/120)1.2929000.000000Trim. Kurtosis (24/120)0.7542000.177000
Trim. Skewness (25/120)1.2896000.000000Trim. Kurtosis (25/120)0.7118000.207600
Trim. Skewness (26/120)1.2052000.000000Trim. Kurtosis (26/120)0.3480000.541800
Trim. Skewness (27/120)1.2346000.000000Trim. Kurtosis (27/120)0.5102000.378800
Trim. Skewness (28/120)1.2571000.000000Trim. Kurtosis (28/120)0.6666000.258400
Trim. Skewness (29/120)1.2657000.000000Trim. Kurtosis (29/120)0.7894000.186800
Trim. Skewness (30/120)1.2458000.000000Trim. Kurtosis (30/120)0.8122000.180200
Trim. Skewness (31/120)1.2854000.000000Trim. Kurtosis (31/120)1.0982000.075000
Trim. Skewness (32/120)1.3165000.000000Trim. Kurtosis (32/120)1.4126000.024400
Trim. Skewness (33/120)1.3264000.000000Trim. Kurtosis (33/120)1.7291000.006800
Trim. Skewness (34/120)1.2856000.000000Trim. Kurtosis (34/120)1.9514000.002600
Trim. Skewness (35/120)1.1148000.001000Trim. Kurtosis (35/120)1.7288000.008800
Trim. Skewness (36/120)0.5519000.107400Trim. Kurtosis (36/120)-0.4561000.496400
Trim. Skewness (37/120)0.4747000.173800Trim. Kurtosis (37/120)-0.5233000.441200
Trim. Skewness (38/120)0.3147000.373400Trim. Kurtosis (38/120)-0.8466000.226200
Trim. Skewness (39/120)0.3275000.368200Trim. Kurtosis (39/120)-0.7202000.312400
Trim. Skewness (40/120)0.3388000.362800Trim. Kurtosis (40/120)-0.5685000.435400

\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 (0/120)1.7352000.000000 & Trim. Kurtosis (0/120)2.6678000.000000 \tabularnewline Trim. Skewness (1/120)1.6899000.000000 & Trim. Kurtosis (1/120)2.4489000.000000 \tabularnewline Trim. Skewness (2/120)1.6641000.000000 & Trim. Kurtosis (2/120)2.3301000.000000 \tabularnewline Trim. Skewness (3/120)1.6447000.000000 & Trim. Kurtosis (3/120)2.2269000.000000 \tabularnewline Trim. Skewness (4/120)1.5981000.000000 & Trim. Kurtosis (4/120)1.9822000.000000 \tabularnewline Trim. Skewness (5/120)1.5570000.000000 & Trim. Kurtosis (5/120)1.7381000.000200 \tabularnewline Trim. Skewness (6/120)1.5275000.000000 & Trim. Kurtosis (6/120)1.5217000.001000 \tabularnewline Trim. Skewness (7/120)1.5296000.000000 & Trim. Kurtosis (7/120)1.5109000.001200 \tabularnewline Trim. Skewness (8/120)1.5356000.000000 & Trim. Kurtosis (8/120)1.5014000.001400 \tabularnewline Trim. Skewness (9/120)1.5331000.000000 & Trim. Kurtosis (9/120)1.4821000.001800 \tabularnewline Trim. Skewness (10/120)1.5231000.000000 & Trim. Kurtosis (10/120)1.4575000.002200 \tabularnewline Trim. Skewness (11/120)1.5167000.000000 & Trim. Kurtosis (11/120)1.4505000.002600 \tabularnewline Trim. Skewness (12/120)1.5162000.000000 & Trim. Kurtosis (12/120)1.4736000.002400 \tabularnewline Trim. Skewness (13/120)1.5244000.000000 & Trim. Kurtosis (13/120)1.5427000.001600 \tabularnewline Trim. Skewness (14/120)1.5100000.000000 & Trim. Kurtosis (14/120)1.4899000.002600 \tabularnewline Trim. Skewness (15/120)1.5024000.000000 & Trim. Kurtosis (15/120)1.4649000.003600 \tabularnewline Trim. Skewness (16/120)1.5416000.000000 & Trim. Kurtosis (16/120)1.6687000.001000 \tabularnewline Trim. Skewness (17/120)1.5537000.000000 & Trim. Kurtosis (17/120)1.8116000.000400 \tabularnewline Trim. Skewness (18/120)1.5418000.000000 & Trim. Kurtosis (18/120)1.8539000.000400 \tabularnewline Trim. Skewness (19/120)1.4833000.000000 & Trim. Kurtosis (19/120)1.6532000.001600 \tabularnewline Trim. Skewness (20/120)1.3288000.000000 & Trim. Kurtosis (20/120)0.8562000.105200 \tabularnewline Trim. Skewness (21/120)1.3174000.000000 & Trim. Kurtosis (21/120)0.8284000.123600 \tabularnewline Trim. Skewness (22/120)1.3345000.000000 & Trim. Kurtosis (22/120)0.9319000.085400 \tabularnewline Trim. Skewness (23/120)1.3327000.000000 & Trim. Kurtosis (23/120)0.9480000.085400 \tabularnewline Trim. Skewness (24/120)1.2929000.000000 & Trim. Kurtosis (24/120)0.7542000.177000 \tabularnewline Trim. Skewness (25/120)1.2896000.000000 & Trim. Kurtosis (25/120)0.7118000.207600 \tabularnewline Trim. Skewness (26/120)1.2052000.000000 & Trim. Kurtosis (26/120)0.3480000.541800 \tabularnewline Trim. Skewness (27/120)1.2346000.000000 & Trim. Kurtosis (27/120)0.5102000.378800 \tabularnewline Trim. Skewness (28/120)1.2571000.000000 & Trim. Kurtosis (28/120)0.6666000.258400 \tabularnewline Trim. Skewness (29/120)1.2657000.000000 & Trim. Kurtosis (29/120)0.7894000.186800 \tabularnewline Trim. Skewness (30/120)1.2458000.000000 & Trim. Kurtosis (30/120)0.8122000.180200 \tabularnewline Trim. Skewness (31/120)1.2854000.000000 & Trim. Kurtosis (31/120)1.0982000.075000 \tabularnewline Trim. Skewness (32/120)1.3165000.000000 & Trim. Kurtosis (32/120)1.4126000.024400 \tabularnewline Trim. Skewness (33/120)1.3264000.000000 & Trim. Kurtosis (33/120)1.7291000.006800 \tabularnewline Trim. Skewness (34/120)1.2856000.000000 & Trim. Kurtosis (34/120)1.9514000.002600 \tabularnewline Trim. Skewness (35/120)1.1148000.001000 & Trim. Kurtosis (35/120)1.7288000.008800 \tabularnewline Trim. Skewness (36/120)0.5519000.107400 & Trim. Kurtosis (36/120)-0.4561000.496400 \tabularnewline Trim. Skewness (37/120)0.4747000.173800 & Trim. Kurtosis (37/120)-0.5233000.441200 \tabularnewline Trim. Skewness (38/120)0.3147000.373400 & Trim. Kurtosis (38/120)-0.8466000.226200 \tabularnewline Trim. Skewness (39/120)0.3275000.368200 & Trim. Kurtosis (39/120)-0.7202000.312400 \tabularnewline Trim. Skewness (40/120)0.3388000.362800 & Trim. Kurtosis (40/120)-0.5685000.435400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103748&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 (0/120)[/C]1.735200[/C]0.000000[/C][C]Trim. Kurtosis (0/120)[/C]2.667800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]1.689900[/C]0.000000[/C][C]Trim. Kurtosis (1/120)[/C]2.448900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]1.664100[/C]0.000000[/C][C]Trim. Kurtosis (2/120)[/C]2.330100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]1.644700[/C]0.000000[/C][C]Trim. Kurtosis (3/120)[/C]2.226900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]1.598100[/C]0.000000[/C][C]Trim. Kurtosis (4/120)[/C]1.982200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]1.557000[/C]0.000000[/C][C]Trim. Kurtosis (5/120)[/C]1.738100[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]1.527500[/C]0.000000[/C][C]Trim. Kurtosis (6/120)[/C]1.521700[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]1.529600[/C]0.000000[/C][C]Trim. Kurtosis (7/120)[/C]1.510900[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]1.535600[/C]0.000000[/C][C]Trim. Kurtosis (8/120)[/C]1.501400[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]1.533100[/C]0.000000[/C][C]Trim. Kurtosis (9/120)[/C]1.482100[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]1.523100[/C]0.000000[/C][C]Trim. Kurtosis (10/120)[/C]1.457500[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]1.516700[/C]0.000000[/C][C]Trim. Kurtosis (11/120)[/C]1.450500[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]1.516200[/C]0.000000[/C][C]Trim. Kurtosis (12/120)[/C]1.473600[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]1.524400[/C]0.000000[/C][C]Trim. Kurtosis (13/120)[/C]1.542700[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]1.510000[/C]0.000000[/C][C]Trim. Kurtosis (14/120)[/C]1.489900[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]1.502400[/C]0.000000[/C][C]Trim. Kurtosis (15/120)[/C]1.464900[/C]0.003600[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]1.541600[/C]0.000000[/C][C]Trim. Kurtosis (16/120)[/C]1.668700[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]1.553700[/C]0.000000[/C][C]Trim. Kurtosis (17/120)[/C]1.811600[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]1.541800[/C]0.000000[/C][C]Trim. Kurtosis (18/120)[/C]1.853900[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]1.483300[/C]0.000000[/C][C]Trim. Kurtosis (19/120)[/C]1.653200[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]1.328800[/C]0.000000[/C][C]Trim. Kurtosis (20/120)[/C]0.856200[/C]0.105200[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]1.317400[/C]0.000000[/C][C]Trim. Kurtosis (21/120)[/C]0.828400[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]1.334500[/C]0.000000[/C][C]Trim. Kurtosis (22/120)[/C]0.931900[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]1.332700[/C]0.000000[/C][C]Trim. Kurtosis (23/120)[/C]0.948000[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]1.292900[/C]0.000000[/C][C]Trim. Kurtosis (24/120)[/C]0.754200[/C]0.177000[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]1.289600[/C]0.000000[/C][C]Trim. Kurtosis (25/120)[/C]0.711800[/C]0.207600[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]1.205200[/C]0.000000[/C][C]Trim. Kurtosis (26/120)[/C]0.348000[/C]0.541800[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]1.234600[/C]0.000000[/C][C]Trim. Kurtosis (27/120)[/C]0.510200[/C]0.378800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]1.257100[/C]0.000000[/C][C]Trim. Kurtosis (28/120)[/C]0.666600[/C]0.258400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]1.265700[/C]0.000000[/C][C]Trim. Kurtosis (29/120)[/C]0.789400[/C]0.186800[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]1.245800[/C]0.000000[/C][C]Trim. Kurtosis (30/120)[/C]0.812200[/C]0.180200[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]1.285400[/C]0.000000[/C][C]Trim. Kurtosis (31/120)[/C]1.098200[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]1.316500[/C]0.000000[/C][C]Trim. Kurtosis (32/120)[/C]1.412600[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]1.326400[/C]0.000000[/C][C]Trim. Kurtosis (33/120)[/C]1.729100[/C]0.006800[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]1.285600[/C]0.000000[/C][C]Trim. Kurtosis (34/120)[/C]1.951400[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]1.114800[/C]0.001000[/C][C]Trim. Kurtosis (35/120)[/C]1.728800[/C]0.008800[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.551900[/C]0.107400[/C][C]Trim. Kurtosis (36/120)[/C]-0.456100[/C]0.496400[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.474700[/C]0.173800[/C][C]Trim. Kurtosis (37/120)[/C]-0.523300[/C]0.441200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.314700[/C]0.373400[/C][C]Trim. Kurtosis (38/120)[/C]-0.846600[/C]0.226200[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.327500[/C]0.368200[/C][C]Trim. Kurtosis (39/120)[/C]-0.720200[/C]0.312400[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.338800[/C]0.362800[/C][C]Trim. Kurtosis (40/120)[/C]-0.568500[/C]0.435400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103748&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103748&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 (0/120)1.7352000.000000Trim. Kurtosis (0/120)2.6678000.000000
Trim. Skewness (1/120)1.6899000.000000Trim. Kurtosis (1/120)2.4489000.000000
Trim. Skewness (2/120)1.6641000.000000Trim. Kurtosis (2/120)2.3301000.000000
Trim. Skewness (3/120)1.6447000.000000Trim. Kurtosis (3/120)2.2269000.000000
Trim. Skewness (4/120)1.5981000.000000Trim. Kurtosis (4/120)1.9822000.000000
Trim. Skewness (5/120)1.5570000.000000Trim. Kurtosis (5/120)1.7381000.000200
Trim. Skewness (6/120)1.5275000.000000Trim. Kurtosis (6/120)1.5217000.001000
Trim. Skewness (7/120)1.5296000.000000Trim. Kurtosis (7/120)1.5109000.001200
Trim. Skewness (8/120)1.5356000.000000Trim. Kurtosis (8/120)1.5014000.001400
Trim. Skewness (9/120)1.5331000.000000Trim. Kurtosis (9/120)1.4821000.001800
Trim. Skewness (10/120)1.5231000.000000Trim. Kurtosis (10/120)1.4575000.002200
Trim. Skewness (11/120)1.5167000.000000Trim. Kurtosis (11/120)1.4505000.002600
Trim. Skewness (12/120)1.5162000.000000Trim. Kurtosis (12/120)1.4736000.002400
Trim. Skewness (13/120)1.5244000.000000Trim. Kurtosis (13/120)1.5427000.001600
Trim. Skewness (14/120)1.5100000.000000Trim. Kurtosis (14/120)1.4899000.002600
Trim. Skewness (15/120)1.5024000.000000Trim. Kurtosis (15/120)1.4649000.003600
Trim. Skewness (16/120)1.5416000.000000Trim. Kurtosis (16/120)1.6687000.001000
Trim. Skewness (17/120)1.5537000.000000Trim. Kurtosis (17/120)1.8116000.000400
Trim. Skewness (18/120)1.5418000.000000Trim. Kurtosis (18/120)1.8539000.000400
Trim. Skewness (19/120)1.4833000.000000Trim. Kurtosis (19/120)1.6532000.001600
Trim. Skewness (20/120)1.3288000.000000Trim. Kurtosis (20/120)0.8562000.105200
Trim. Skewness (21/120)1.3174000.000000Trim. Kurtosis (21/120)0.8284000.123600
Trim. Skewness (22/120)1.3345000.000000Trim. Kurtosis (22/120)0.9319000.085400
Trim. Skewness (23/120)1.3327000.000000Trim. Kurtosis (23/120)0.9480000.085400
Trim. Skewness (24/120)1.2929000.000000Trim. Kurtosis (24/120)0.7542000.177000
Trim. Skewness (25/120)1.2896000.000000Trim. Kurtosis (25/120)0.7118000.207600
Trim. Skewness (26/120)1.2052000.000000Trim. Kurtosis (26/120)0.3480000.541800
Trim. Skewness (27/120)1.2346000.000000Trim. Kurtosis (27/120)0.5102000.378800
Trim. Skewness (28/120)1.2571000.000000Trim. Kurtosis (28/120)0.6666000.258400
Trim. Skewness (29/120)1.2657000.000000Trim. Kurtosis (29/120)0.7894000.186800
Trim. Skewness (30/120)1.2458000.000000Trim. Kurtosis (30/120)0.8122000.180200
Trim. Skewness (31/120)1.2854000.000000Trim. Kurtosis (31/120)1.0982000.075000
Trim. Skewness (32/120)1.3165000.000000Trim. Kurtosis (32/120)1.4126000.024400
Trim. Skewness (33/120)1.3264000.000000Trim. Kurtosis (33/120)1.7291000.006800
Trim. Skewness (34/120)1.2856000.000000Trim. Kurtosis (34/120)1.9514000.002600
Trim. Skewness (35/120)1.1148000.001000Trim. Kurtosis (35/120)1.7288000.008800
Trim. Skewness (36/120)0.5519000.107400Trim. Kurtosis (36/120)-0.4561000.496400
Trim. Skewness (37/120)0.4747000.173800Trim. Kurtosis (37/120)-0.5233000.441200
Trim. Skewness (38/120)0.3147000.373400Trim. Kurtosis (38/120)-0.8466000.226200
Trim. Skewness (39/120)0.3275000.368200Trim. Kurtosis (39/120)-0.7202000.312400
Trim. Skewness (40/120)0.3388000.362800Trim. Kurtosis (40/120)-0.5685000.435400


Figures (Output of Computation)

Input Parameters & R Code

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