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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 computationMon, 29 Nov 2010 19:25:18 +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/29/t12910586015keb32ka7zjk5x7.htm/, Retrieved Mon, 29 Apr 2024 09:22:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103049, Retrieved Mon, 29 Apr 2024 09:22:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact115

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] [] [2010-11-29 17:29:37] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D  [Skewness and Kurtosis] [] [2010-11-29 17:35:36] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D    [Skewness and Kurtosis] [] [2010-11-29 17:37:34] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D      [Skewness and Kurtosis] [] [2010-11-29 17:39:18] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D        [Skewness and Kurtosis] [] [2010-11-29 17:41:39] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D          [Skewness and Kurtosis] [] [2010-11-29 17:44:08] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D            [Skewness and Kurtosis] [] [2010-11-29 17:45:30] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D              [Skewness and Kurtosis] [] [2010-11-29 17:46:57] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                [Skewness and Kurtosis] [] [2010-11-29 17:48:57] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                  [Skewness and Kurtosis] [] [2010-11-29 17:58:21] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                    [Skewness and Kurtosis] [] [2010-11-29 18:00:24] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                      [Skewness and Kurtosis] [] [2010-11-29 18:02:07] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                        [Skewness and Kurtosis] [] [2010-11-29 18:03:42] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                          [Skewness and Kurtosis] [] [2010-11-29 18:05:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                            [Skewness and Kurtosis] [] [2010-11-29 18:07:05] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                              [Skewness and Kurtosis] [] [2010-11-29 18:08:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                [Skewness and Kurtosis] [] [2010-11-29 18:10:34] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                  [Skewness and Kurtosis] [] [2010-11-29 18:11:36] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                    [Skewness and Kurtosis] [] [2010-11-29 18:13:28] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                      [Skewness and Kurtosis] [] [2010-11-29 18:15:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                        [Skewness and Kurtosis] [] [2010-11-29 18:21:56] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                          [Skewness and Kurtosis] [] [2010-11-29 19:23:46] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                              [Skewness and Kurtosis] [] [2010-11-29 19:25:18] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    D                                                [Skewness and Kurtosis] [] [2010-11-29 19:26:45] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                  [Skewness and Kurtosis] [] [2010-11-29 19:28:13] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                    [Skewness and Kurtosis] [] [2010-11-29 19:30:05] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                      [Skewness and Kurtosis] [] [2010-11-29 19:31:18] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                        [Skewness and Kurtosis] [] [2010-11-29 19:32:50] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                          [Skewness and Kurtosis] [] [2010-11-29 19:33:58] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                            [Skewness and Kurtosis] [] [2010-11-29 19:35:47] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                              [Skewness and Kurtosis] [] [2010-11-29 19:37:35] [7d64bf19f34ddcdf2626356c9d5bd60d]
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Dataset

Dataseries X:
Download CSV
Histogram
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Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.1.84945e+9FISHER 4th Cent. Mom.6.51323e+14
FISHER beta 10.001012FISHER beta 22.892726
FISHER gamma 10.031818FISHER gamma 2-0.107274
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.290459FISHER Test 2-0.489638
FISHER Test 1 Probability0.764200FISHER Test 2 Probability0.624200
Pearson 2-0.086459
Yule using Quartile definition:Weighted Average at Xnp-0.090657
Yule using Quartile definition:Weighted Average at X(n+1)p-0.085277
Yule using Quartile definition:Empirical Distribution Function-0.090657
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.081195
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.077071
Yule using Quartile definition:Closest Observation-0.090657
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.077071
Yule using Quartile definition:MS Excel (old versions)-0.089318
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.031914Kurtosis (small sample)-0.096258
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.292205TEST 1 (small sample)-0.441539
TEST 1 Prob. (small sample)0.764200TEST 1 Prob. (small sample)0.652800
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.1.84945e+9 & FISHER 4th Cent. Mom.6.51323e+14 \tabularnewline FISHER beta 10.001012 & FISHER beta 22.892726 \tabularnewline FISHER gamma 10.031818 & FISHER gamma 2-0.107274 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 10.290459 & FISHER Test 2-0.489638 \tabularnewline FISHER Test 1 Probability0.764200 & FISHER Test 2 Probability0.624200 \tabularnewline Pearson 2-0.086459 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.090657 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.085277 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.090657 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.081195 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.077071 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.090657 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.077071 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.089318 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.031914 & Kurtosis (small sample)-0.096258 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)0.292205 & TEST 1 (small sample)-0.441539 \tabularnewline TEST 1 Prob. (small sample)0.764200 & TEST 1 Prob. (small sample)0.652800 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103049&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]1.84945e+9[/C][C]FISHER 4th Cent. Mom.[/C]6.51323e+14[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.001012[/C][C]FISHER beta 2[/C]2.892726[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.031818[/C][C]FISHER gamma 2[/C]-0.107274[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.109545[/C][C]FISHER gamma 2 (S.E.)[/C]0.219089[/C][/ROW] [ROW][C]FISHER Test 1[/C]0.290459[/C][C]FISHER Test 2[/C]-0.489638[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.764200[/C][C]FISHER Test 2 Probability[/C]0.624200[/C][/ROW] [ROW][C]Pearson 2[/C]-0.086459[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.090657[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.085277[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.090657[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.081195[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.077071[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.090657[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.077071[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.089318[/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]0.031914[/C][C]Kurtosis (small sample)[/C]-0.096258[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.109218[/C][C]Kurtosis S.E. (small sample)[/C]0.218006[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]0.292205[/C][C]TEST 1 (small sample)[/C]-0.441539[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.764200[/C][C]TEST 1 Prob. (small sample)[/C]0.652800[/C][/ROW] [ROW][C]Observations[/C]500[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103049&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103049&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.1.84945e+9FISHER 4th Cent. Mom.6.51323e+14
FISHER beta 10.001012FISHER beta 22.892726
FISHER gamma 10.031818FISHER gamma 2-0.107274
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.290459FISHER Test 2-0.489638
FISHER Test 1 Probability0.764200FISHER Test 2 Probability0.624200
Pearson 2-0.086459
Yule using Quartile definition:Weighted Average at Xnp-0.090657
Yule using Quartile definition:Weighted Average at X(n+1)p-0.085277
Yule using Quartile definition:Empirical Distribution Function-0.090657
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.081195
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.077071
Yule using Quartile definition:Closest Observation-0.090657
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.077071
Yule using Quartile definition:MS Excel (old versions)-0.089318
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.031914Kurtosis (small sample)-0.096258
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.292205TEST 1 (small sample)-0.441539
TEST 1 Prob. (small sample)0.764200TEST 1 Prob. (small sample)0.652800
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.0319000.764200Trim. Kurtosis (0/500)-0.0963000.652800
Trim. Skewness (1/500)0.0348000.749000Trim. Kurtosis (1/500)-0.1674000.441200
Trim. Skewness (2/500)0.0360000.741400Trim. Kurtosis (2/500)-0.2157000.322200
Trim. Skewness (3/500)0.0362000.741400Trim. Kurtosis (3/500)-0.2527000.246000
Trim. Skewness (4/500)0.0385000.726400Trim. Kurtosis (4/500)-0.2874000.190200
Trim. Skewness (5/500)0.0412000.704000Trim. Kurtosis (5/500)-0.3266000.136200
Trim. Skewness (6/500)0.0452000.681800Trim. Kurtosis (6/500)-0.3611000.101000
Trim. Skewness (7/500)0.0461000.674400Trim. Kurtosis (7/500)-0.3884000.078400
Trim. Skewness (8/500)0.0440000.689200Trim. Kurtosis (8/500)-0.4128000.061400
Trim. Skewness (9/500)0.0434000.689200Trim. Kurtosis (9/500)-0.4376000.047800
Trim. Skewness (10/500)0.0454000.681800Trim. Kurtosis (10/500)-0.4586000.038400
Trim. Skewness (11/500)0.0473000.667200Trim. Kurtosis (11/500)-0.4806000.030800
Trim. Skewness (12/500)0.0489000.660000Trim. Kurtosis (12/500)-0.5001000.025000
Trim. Skewness (13/500)0.0506000.645600Trim. Kurtosis (13/500)-0.5199000.019800
Trim. Skewness (14/500)0.0523000.638400Trim. Kurtosis (14/500)-0.5381000.016400
Trim. Skewness (15/500)0.0538000.631200Trim. Kurtosis (15/500)-0.5548000.013600
Trim. Skewness (16/500)0.0556000.617000Trim. Kurtosis (16/500)-0.5717000.011000
Trim. Skewness (17/500)0.0545000.624200Trim. Kurtosis (17/500)-0.5853000.009400
Trim. Skewness (18/500)0.0530000.638400Trim. Kurtosis (18/500)-0.6008000.007800
Trim. Skewness (19/500)0.0522000.645600Trim. Kurtosis (19/500)-0.6146000.006600
Trim. Skewness (20/500)0.0512000.645600Trim. Kurtosis (20/500)-0.6283000.005600
Trim. Skewness (21/500)0.0498000.660000Trim. Kurtosis (21/500)-0.6417000.004800
Trim. Skewness (22/500)0.0469000.681800Trim. Kurtosis (22/500)-0.6529000.004200
Trim. Skewness (23/500)0.0432000.704000Trim. Kurtosis (23/500)-0.6630000.003800
Trim. Skewness (24/500)0.0399000.726400Trim. Kurtosis (24/500)-0.6727000.003200
Trim. Skewness (25/500)0.0379000.741400Trim. Kurtosis (25/500)-0.6811000.003000
Trim. Skewness (26/500)0.0358000.749000Trim. Kurtosis (26/500)-0.6909000.002600
Trim. Skewness (27/500)0.0346000.764200Trim. Kurtosis (27/500)-0.6987000.002400
Trim. Skewness (28/500)0.0336000.771800Trim. Kurtosis (28/500)-0.7077000.002200
Trim. Skewness (29/500)0.0315000.779400Trim. Kurtosis (29/500)-0.7158000.002000
Trim. Skewness (30/500)0.0298000.794800Trim. Kurtosis (30/500)-0.7239000.001800
Trim. Skewness (31/500)0.0282000.802600Trim. Kurtosis (31/500)-0.7329000.001600
Trim. Skewness (32/500)0.0264000.818000Trim. Kurtosis (32/500)-0.7395000.001400
Trim. Skewness (33/500)0.0244000.833600Trim. Kurtosis (33/500)-0.7476000.001400
Trim. Skewness (34/500)0.0222000.849200Trim. Kurtosis (34/500)-0.7563000.001200
Trim. Skewness (35/500)0.0199000.865000Trim. Kurtosis (35/500)-0.7627000.001200
Trim. Skewness (36/500)0.0178000.872800Trim. Kurtosis (36/500)-0.7690000.001000
Trim. Skewness (37/500)0.0155000.888600Trim. Kurtosis (37/500)-0.7767000.001000
Trim. Skewness (38/500)0.0131000.904400Trim. Kurtosis (38/500)-0.7843000.001000
Trim. Skewness (39/500)0.0097000.928200Trim. Kurtosis (39/500)-0.7918000.000800
Trim. Skewness (40/500)0.0060000.952200Trim. Kurtosis (40/500)-0.7987000.000800

\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 (0/500)0.0319000.764200 & Trim. Kurtosis (0/500)-0.0963000.652800 \tabularnewline Trim. Skewness (1/500)0.0348000.749000 & Trim. Kurtosis (1/500)-0.1674000.441200 \tabularnewline Trim. Skewness (2/500)0.0360000.741400 & Trim. Kurtosis (2/500)-0.2157000.322200 \tabularnewline Trim. Skewness (3/500)0.0362000.741400 & Trim. Kurtosis (3/500)-0.2527000.246000 \tabularnewline Trim. Skewness (4/500)0.0385000.726400 & Trim. Kurtosis (4/500)-0.2874000.190200 \tabularnewline Trim. Skewness (5/500)0.0412000.704000 & Trim. Kurtosis (5/500)-0.3266000.136200 \tabularnewline Trim. Skewness (6/500)0.0452000.681800 & Trim. Kurtosis (6/500)-0.3611000.101000 \tabularnewline Trim. Skewness (7/500)0.0461000.674400 & Trim. Kurtosis (7/500)-0.3884000.078400 \tabularnewline Trim. Skewness (8/500)0.0440000.689200 & Trim. Kurtosis (8/500)-0.4128000.061400 \tabularnewline Trim. Skewness (9/500)0.0434000.689200 & Trim. Kurtosis (9/500)-0.4376000.047800 \tabularnewline Trim. Skewness (10/500)0.0454000.681800 & Trim. Kurtosis (10/500)-0.4586000.038400 \tabularnewline Trim. Skewness (11/500)0.0473000.667200 & Trim. Kurtosis (11/500)-0.4806000.030800 \tabularnewline Trim. Skewness (12/500)0.0489000.660000 & Trim. Kurtosis (12/500)-0.5001000.025000 \tabularnewline Trim. Skewness (13/500)0.0506000.645600 & Trim. Kurtosis (13/500)-0.5199000.019800 \tabularnewline Trim. Skewness (14/500)0.0523000.638400 & Trim. Kurtosis (14/500)-0.5381000.016400 \tabularnewline Trim. Skewness (15/500)0.0538000.631200 & Trim. Kurtosis (15/500)-0.5548000.013600 \tabularnewline Trim. Skewness (16/500)0.0556000.617000 & Trim. Kurtosis (16/500)-0.5717000.011000 \tabularnewline Trim. Skewness (17/500)0.0545000.624200 & Trim. Kurtosis (17/500)-0.5853000.009400 \tabularnewline Trim. Skewness (18/500)0.0530000.638400 & Trim. Kurtosis (18/500)-0.6008000.007800 \tabularnewline Trim. Skewness (19/500)0.0522000.645600 & Trim. Kurtosis (19/500)-0.6146000.006600 \tabularnewline Trim. Skewness (20/500)0.0512000.645600 & Trim. Kurtosis (20/500)-0.6283000.005600 \tabularnewline Trim. Skewness (21/500)0.0498000.660000 & Trim. Kurtosis (21/500)-0.6417000.004800 \tabularnewline Trim. Skewness (22/500)0.0469000.681800 & Trim. Kurtosis (22/500)-0.6529000.004200 \tabularnewline Trim. Skewness (23/500)0.0432000.704000 & Trim. Kurtosis (23/500)-0.6630000.003800 \tabularnewline Trim. Skewness (24/500)0.0399000.726400 & Trim. Kurtosis (24/500)-0.6727000.003200 \tabularnewline Trim. Skewness (25/500)0.0379000.741400 & Trim. Kurtosis (25/500)-0.6811000.003000 \tabularnewline Trim. Skewness (26/500)0.0358000.749000 & Trim. Kurtosis (26/500)-0.6909000.002600 \tabularnewline Trim. Skewness (27/500)0.0346000.764200 & Trim. Kurtosis (27/500)-0.6987000.002400 \tabularnewline Trim. Skewness (28/500)0.0336000.771800 & Trim. Kurtosis (28/500)-0.7077000.002200 \tabularnewline Trim. Skewness (29/500)0.0315000.779400 & Trim. Kurtosis (29/500)-0.7158000.002000 \tabularnewline Trim. Skewness (30/500)0.0298000.794800 & Trim. Kurtosis (30/500)-0.7239000.001800 \tabularnewline Trim. Skewness (31/500)0.0282000.802600 & Trim. Kurtosis (31/500)-0.7329000.001600 \tabularnewline Trim. Skewness (32/500)0.0264000.818000 & Trim. Kurtosis (32/500)-0.7395000.001400 \tabularnewline Trim. Skewness (33/500)0.0244000.833600 & Trim. Kurtosis (33/500)-0.7476000.001400 \tabularnewline Trim. Skewness (34/500)0.0222000.849200 & Trim. Kurtosis (34/500)-0.7563000.001200 \tabularnewline Trim. Skewness (35/500)0.0199000.865000 & Trim. Kurtosis (35/500)-0.7627000.001200 \tabularnewline Trim. Skewness (36/500)0.0178000.872800 & Trim. Kurtosis (36/500)-0.7690000.001000 \tabularnewline Trim. Skewness (37/500)0.0155000.888600 & Trim. Kurtosis (37/500)-0.7767000.001000 \tabularnewline Trim. Skewness (38/500)0.0131000.904400 & Trim. Kurtosis (38/500)-0.7843000.001000 \tabularnewline Trim. Skewness (39/500)0.0097000.928200 & Trim. Kurtosis (39/500)-0.7918000.000800 \tabularnewline Trim. Skewness (40/500)0.0060000.952200 & Trim. Kurtosis (40/500)-0.7987000.000800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103049&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 (0/500)[/C]0.031900[/C]0.764200[/C][C]Trim. Kurtosis (0/500)[/C]-0.096300[/C]0.652800[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.034800[/C]0.749000[/C][C]Trim. Kurtosis (1/500)[/C]-0.167400[/C]0.441200[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.036000[/C]0.741400[/C][C]Trim. Kurtosis (2/500)[/C]-0.215700[/C]0.322200[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.036200[/C]0.741400[/C][C]Trim. Kurtosis (3/500)[/C]-0.252700[/C]0.246000[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.038500[/C]0.726400[/C][C]Trim. Kurtosis (4/500)[/C]-0.287400[/C]0.190200[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.041200[/C]0.704000[/C][C]Trim. Kurtosis (5/500)[/C]-0.326600[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.045200[/C]0.681800[/C][C]Trim. Kurtosis (6/500)[/C]-0.361100[/C]0.101000[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.046100[/C]0.674400[/C][C]Trim. Kurtosis (7/500)[/C]-0.388400[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.044000[/C]0.689200[/C][C]Trim. Kurtosis (8/500)[/C]-0.412800[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.043400[/C]0.689200[/C][C]Trim. Kurtosis (9/500)[/C]-0.437600[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.045400[/C]0.681800[/C][C]Trim. Kurtosis (10/500)[/C]-0.458600[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.047300[/C]0.667200[/C][C]Trim. Kurtosis (11/500)[/C]-0.480600[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.048900[/C]0.660000[/C][C]Trim. Kurtosis (12/500)[/C]-0.500100[/C]0.025000[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.050600[/C]0.645600[/C][C]Trim. Kurtosis (13/500)[/C]-0.519900[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.052300[/C]0.638400[/C][C]Trim. Kurtosis (14/500)[/C]-0.538100[/C]0.016400[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.053800[/C]0.631200[/C][C]Trim. Kurtosis (15/500)[/C]-0.554800[/C]0.013600[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.055600[/C]0.617000[/C][C]Trim. Kurtosis (16/500)[/C]-0.571700[/C]0.011000[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.054500[/C]0.624200[/C][C]Trim. Kurtosis (17/500)[/C]-0.585300[/C]0.009400[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.053000[/C]0.638400[/C][C]Trim. Kurtosis (18/500)[/C]-0.600800[/C]0.007800[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]0.052200[/C]0.645600[/C][C]Trim. Kurtosis (19/500)[/C]-0.614600[/C]0.006600[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]0.051200[/C]0.645600[/C][C]Trim. Kurtosis (20/500)[/C]-0.628300[/C]0.005600[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]0.049800[/C]0.660000[/C][C]Trim. Kurtosis (21/500)[/C]-0.641700[/C]0.004800[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]0.046900[/C]0.681800[/C][C]Trim. Kurtosis (22/500)[/C]-0.652900[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]0.043200[/C]0.704000[/C][C]Trim. Kurtosis (23/500)[/C]-0.663000[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]0.039900[/C]0.726400[/C][C]Trim. Kurtosis (24/500)[/C]-0.672700[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]0.037900[/C]0.741400[/C][C]Trim. Kurtosis (25/500)[/C]-0.681100[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]0.035800[/C]0.749000[/C][C]Trim. Kurtosis (26/500)[/C]-0.690900[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]0.034600[/C]0.764200[/C][C]Trim. Kurtosis (27/500)[/C]-0.698700[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]0.033600[/C]0.771800[/C][C]Trim. Kurtosis (28/500)[/C]-0.707700[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]0.031500[/C]0.779400[/C][C]Trim. Kurtosis (29/500)[/C]-0.715800[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]0.029800[/C]0.794800[/C][C]Trim. Kurtosis (30/500)[/C]-0.723900[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.028200[/C]0.802600[/C][C]Trim. Kurtosis (31/500)[/C]-0.732900[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.026400[/C]0.818000[/C][C]Trim. Kurtosis (32/500)[/C]-0.739500[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.024400[/C]0.833600[/C][C]Trim. Kurtosis (33/500)[/C]-0.747600[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.022200[/C]0.849200[/C][C]Trim. Kurtosis (34/500)[/C]-0.756300[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.019900[/C]0.865000[/C][C]Trim. Kurtosis (35/500)[/C]-0.762700[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.017800[/C]0.872800[/C][C]Trim. Kurtosis (36/500)[/C]-0.769000[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.015500[/C]0.888600[/C][C]Trim. Kurtosis (37/500)[/C]-0.776700[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.013100[/C]0.904400[/C][C]Trim. Kurtosis (38/500)[/C]-0.784300[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.009700[/C]0.928200[/C][C]Trim. Kurtosis (39/500)[/C]-0.791800[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.006000[/C]0.952200[/C][C]Trim. Kurtosis (40/500)[/C]-0.798700[/C]0.000800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103049&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103049&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 (0/500)0.0319000.764200Trim. Kurtosis (0/500)-0.0963000.652800
Trim. Skewness (1/500)0.0348000.749000Trim. Kurtosis (1/500)-0.1674000.441200
Trim. Skewness (2/500)0.0360000.741400Trim. Kurtosis (2/500)-0.2157000.322200
Trim. Skewness (3/500)0.0362000.741400Trim. Kurtosis (3/500)-0.2527000.246000
Trim. Skewness (4/500)0.0385000.726400Trim. Kurtosis (4/500)-0.2874000.190200
Trim. Skewness (5/500)0.0412000.704000Trim. Kurtosis (5/500)-0.3266000.136200
Trim. Skewness (6/500)0.0452000.681800Trim. Kurtosis (6/500)-0.3611000.101000
Trim. Skewness (7/500)0.0461000.674400Trim. Kurtosis (7/500)-0.3884000.078400
Trim. Skewness (8/500)0.0440000.689200Trim. Kurtosis (8/500)-0.4128000.061400
Trim. Skewness (9/500)0.0434000.689200Trim. Kurtosis (9/500)-0.4376000.047800
Trim. Skewness (10/500)0.0454000.681800Trim. Kurtosis (10/500)-0.4586000.038400
Trim. Skewness (11/500)0.0473000.667200Trim. Kurtosis (11/500)-0.4806000.030800
Trim. Skewness (12/500)0.0489000.660000Trim. Kurtosis (12/500)-0.5001000.025000
Trim. Skewness (13/500)0.0506000.645600Trim. Kurtosis (13/500)-0.5199000.019800
Trim. Skewness (14/500)0.0523000.638400Trim. Kurtosis (14/500)-0.5381000.016400
Trim. Skewness (15/500)0.0538000.631200Trim. Kurtosis (15/500)-0.5548000.013600
Trim. Skewness (16/500)0.0556000.617000Trim. Kurtosis (16/500)-0.5717000.011000
Trim. Skewness (17/500)0.0545000.624200Trim. Kurtosis (17/500)-0.5853000.009400
Trim. Skewness (18/500)0.0530000.638400Trim. Kurtosis (18/500)-0.6008000.007800
Trim. Skewness (19/500)0.0522000.645600Trim. Kurtosis (19/500)-0.6146000.006600
Trim. Skewness (20/500)0.0512000.645600Trim. Kurtosis (20/500)-0.6283000.005600
Trim. Skewness (21/500)0.0498000.660000Trim. Kurtosis (21/500)-0.6417000.004800
Trim. Skewness (22/500)0.0469000.681800Trim. Kurtosis (22/500)-0.6529000.004200
Trim. Skewness (23/500)0.0432000.704000Trim. Kurtosis (23/500)-0.6630000.003800
Trim. Skewness (24/500)0.0399000.726400Trim. Kurtosis (24/500)-0.6727000.003200
Trim. Skewness (25/500)0.0379000.741400Trim. Kurtosis (25/500)-0.6811000.003000
Trim. Skewness (26/500)0.0358000.749000Trim. Kurtosis (26/500)-0.6909000.002600
Trim. Skewness (27/500)0.0346000.764200Trim. Kurtosis (27/500)-0.6987000.002400
Trim. Skewness (28/500)0.0336000.771800Trim. Kurtosis (28/500)-0.7077000.002200
Trim. Skewness (29/500)0.0315000.779400Trim. Kurtosis (29/500)-0.7158000.002000
Trim. Skewness (30/500)0.0298000.794800Trim. Kurtosis (30/500)-0.7239000.001800
Trim. Skewness (31/500)0.0282000.802600Trim. Kurtosis (31/500)-0.7329000.001600
Trim. Skewness (32/500)0.0264000.818000Trim. Kurtosis (32/500)-0.7395000.001400
Trim. Skewness (33/500)0.0244000.833600Trim. Kurtosis (33/500)-0.7476000.001400
Trim. Skewness (34/500)0.0222000.849200Trim. Kurtosis (34/500)-0.7563000.001200
Trim. Skewness (35/500)0.0199000.865000Trim. Kurtosis (35/500)-0.7627000.001200
Trim. Skewness (36/500)0.0178000.872800Trim. Kurtosis (36/500)-0.7690000.001000
Trim. Skewness (37/500)0.0155000.888600Trim. Kurtosis (37/500)-0.7767000.001000
Trim. Skewness (38/500)0.0131000.904400Trim. Kurtosis (38/500)-0.7843000.001000
Trim. Skewness (39/500)0.0097000.928200Trim. Kurtosis (39/500)-0.7918000.000800
Trim. Skewness (40/500)0.0060000.952200Trim. Kurtosis (40/500)-0.7987000.000800


Figures (Output of Computation)

Input Parameters & R Code

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