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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 19:33:58 +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/t1291059135d1vij396l69li82.htm/, Retrieved Mon, 29 Apr 2024 09:35:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103056, Retrieved Mon, 29 Apr 2024 09:35:00 +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] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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.-3.16476e+6FISHER 4th Cent. Mom.1.26902e+10
FISHER beta 10.034770FISHER beta 22.909459
FISHER gamma 1-0.186466FISHER gamma 2-0.090541
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-1.702193FISHER Test 2-0.413262
FISHER Test 1 Probability0.087200FISHER Test 2 Probability0.674400
Pearson 2-0.021434
Yule using Quartile definition:Weighted Average at Xnp0.046664
Yule using Quartile definition:Weighted Average at X(n+1)p0.047202
Yule using Quartile definition:Empirical Distribution Function0.046664
Yule using Quartile definition:Empirical Distribution Function - Averaging0.047535
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.047868
Yule using Quartile definition:Closest Observation0.046664
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.047868
Yule using Quartile definition:MS Excel (old versions)0.046870
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.187027Kurtosis (small sample)-0.079356
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-1.712426TEST 1 (small sample)-0.364010
TEST 1 Prob. (small sample)0.085400TEST 1 Prob. (small sample)0.711400
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-3.16476e+6 & FISHER 4th Cent. Mom.1.26902e+10 \tabularnewline FISHER beta 10.034770 & FISHER beta 22.909459 \tabularnewline FISHER gamma 1-0.186466 & FISHER gamma 2-0.090541 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-1.702193 & FISHER Test 2-0.413262 \tabularnewline FISHER Test 1 Probability0.087200 & FISHER Test 2 Probability0.674400 \tabularnewline Pearson 2-0.021434 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.046664 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.047202 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.046664 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.047535 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.047868 & & \tabularnewline Yule using Quartile definition:Closest Observation0.046664 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.047868 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.046870 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.187027 & Kurtosis (small sample)-0.079356 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-1.712426 & TEST 1 (small sample)-0.364010 \tabularnewline TEST 1 Prob. (small sample)0.085400 & TEST 1 Prob. (small sample)0.711400 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103056&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]-3.16476e+6[/C][C]FISHER 4th Cent. Mom.[/C]1.26902e+10[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.034770[/C][C]FISHER beta 2[/C]2.909459[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.186466[/C][C]FISHER gamma 2[/C]-0.090541[/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]-1.702193[/C][C]FISHER Test 2[/C]-0.413262[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.087200[/C][C]FISHER Test 2 Probability[/C]0.674400[/C][/ROW] [ROW][C]Pearson 2[/C]-0.021434[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.046664[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.047202[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.046664[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.047535[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.047868[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.046664[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.047868[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.046870[/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]-0.187027[/C][C]Kurtosis (small sample)[/C]-0.079356[/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]-1.712426[/C][C]TEST 1 (small sample)[/C]-0.364010[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.085400[/C][C]TEST 1 Prob. (small sample)[/C]0.711400[/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=103056&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103056&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.-3.16476e+6FISHER 4th Cent. Mom.1.26902e+10
FISHER beta 10.034770FISHER beta 22.909459
FISHER gamma 1-0.186466FISHER gamma 2-0.090541
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-1.702193FISHER Test 2-0.413262
FISHER Test 1 Probability0.087200FISHER Test 2 Probability0.674400
Pearson 2-0.021434
Yule using Quartile definition:Weighted Average at Xnp0.046664
Yule using Quartile definition:Weighted Average at X(n+1)p0.047202
Yule using Quartile definition:Empirical Distribution Function0.046664
Yule using Quartile definition:Empirical Distribution Function - Averaging0.047535
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.047868
Yule using Quartile definition:Closest Observation0.046664
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.047868
Yule using Quartile definition:MS Excel (old versions)0.046870
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.187027Kurtosis (small sample)-0.079356
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-1.712426TEST 1 (small sample)-0.364010
TEST 1 Prob. (small sample)0.085400TEST 1 Prob. (small sample)0.711400
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.1870000.085400Trim. Kurtosis (0/500)-0.0794000.711400
Trim. Skewness (1/500)-0.1800000.099000Trim. Kurtosis (1/500)-0.2203000.312400
Trim. Skewness (2/500)-0.1520000.164600Trim. Kurtosis (2/500)-0.3272000.133600
Trim. Skewness (3/500)-0.1359000.215000Trim. Kurtosis (3/500)-0.3990000.068800
Trim. Skewness (4/500)-0.1200000.271400Trim. Kurtosis (4/500)-0.4610000.035800
Trim. Skewness (5/500)-0.1028000.347200Trim. Kurtosis (5/500)-0.5221000.017400
Trim. Skewness (6/500)-0.0981000.373400Trim. Kurtosis (6/500)-0.5487000.012800
Trim. Skewness (7/500)-0.0940000.395400Trim. Kurtosis (7/500)-0.5770000.009000
Trim. Skewness (8/500)-0.0879000.423800Trim. Kurtosis (8/500)-0.6042000.006400
Trim. Skewness (9/500)-0.0854000.441200Trim. Kurtosis (9/500)-0.6241000.004800
Trim. Skewness (10/500)-0.0821000.459200Trim. Kurtosis (10/500)-0.6456000.003600
Trim. Skewness (11/500)-0.0790000.477600Trim. Kurtosis (11/500)-0.6622000.002800
Trim. Skewness (12/500)-0.0770000.490200Trim. Kurtosis (12/500)-0.6785000.002400
Trim. Skewness (13/500)-0.0746000.502800Trim. Kurtosis (13/500)-0.6909000.002000
Trim. Skewness (14/500)-0.0730000.515600Trim. Kurtosis (14/500)-0.7015000.001800
Trim. Skewness (15/500)-0.0708000.528600Trim. Kurtosis (15/500)-0.7120000.001600
Trim. Skewness (16/500)-0.0680000.541800Trim. Kurtosis (16/500)-0.7236000.001200
Trim. Skewness (17/500)-0.0648000.562000Trim. Kurtosis (17/500)-0.7348000.001200
Trim. Skewness (18/500)-0.0625000.575400Trim. Kurtosis (18/500)-0.7441000.001000
Trim. Skewness (19/500)-0.0611000.589200Trim. Kurtosis (19/500)-0.7529000.000800
Trim. Skewness (20/500)-0.0592000.603000Trim. Kurtosis (20/500)-0.7618000.000800
Trim. Skewness (21/500)-0.0572000.610000Trim. Kurtosis (21/500)-0.7716000.000600
Trim. Skewness (22/500)-0.0544000.631200Trim. Kurtosis (22/500)-0.7802000.000600
Trim. Skewness (23/500)-0.0519000.645600Trim. Kurtosis (23/500)-0.7896000.000600
Trim. Skewness (24/500)-0.0491000.667200Trim. Kurtosis (24/500)-0.8000000.000400
Trim. Skewness (25/500)-0.0473000.674400Trim. Kurtosis (25/500)-0.8066000.000400
Trim. Skewness (26/500)-0.0456000.689200Trim. Kurtosis (26/500)-0.8128000.000400
Trim. Skewness (27/500)-0.0438000.704000Trim. Kurtosis (27/500)-0.8202000.000400
Trim. Skewness (28/500)-0.0420000.711400Trim. Kurtosis (28/500)-0.8282000.000400
Trim. Skewness (29/500)-0.0394000.733800Trim. Kurtosis (29/500)-0.8357000.000400
Trim. Skewness (30/500)-0.0378000.741400Trim. Kurtosis (30/500)-0.8412000.000200
Trim. Skewness (31/500)-0.0356000.756600Trim. Kurtosis (31/500)-0.8467000.000200
Trim. Skewness (32/500)-0.0335000.771800Trim. Kurtosis (32/500)-0.8530000.000200
Trim. Skewness (33/500)-0.0310000.787200Trim. Kurtosis (33/500)-0.8591000.000200
Trim. Skewness (34/500)-0.0279000.810400Trim. Kurtosis (34/500)-0.8651000.000200
Trim. Skewness (35/500)-0.0241000.833600Trim. Kurtosis (35/500)-0.8704000.000200
Trim. Skewness (36/500)-0.0202000.857200Trim. Kurtosis (36/500)-0.8762000.000200
Trim. Skewness (37/500)-0.0165000.888600Trim. Kurtosis (37/500)-0.8825000.000200
Trim. Skewness (38/500)-0.0117000.920400Trim. Kurtosis (38/500)-0.8874000.000200
Trim. Skewness (39/500)-0.0078000.944200Trim. Kurtosis (39/500)-0.8915000.000200
Trim. Skewness (40/500)-0.0034000.976000Trim. Kurtosis (40/500)-0.8959000.000200

\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)-0.1870000.085400 & Trim. Kurtosis (0/500)-0.0794000.711400 \tabularnewline Trim. Skewness (1/500)-0.1800000.099000 & Trim. Kurtosis (1/500)-0.2203000.312400 \tabularnewline Trim. Skewness (2/500)-0.1520000.164600 & Trim. Kurtosis (2/500)-0.3272000.133600 \tabularnewline Trim. Skewness (3/500)-0.1359000.215000 & Trim. Kurtosis (3/500)-0.3990000.068800 \tabularnewline Trim. Skewness (4/500)-0.1200000.271400 & Trim. Kurtosis (4/500)-0.4610000.035800 \tabularnewline Trim. Skewness (5/500)-0.1028000.347200 & Trim. Kurtosis (5/500)-0.5221000.017400 \tabularnewline Trim. Skewness (6/500)-0.0981000.373400 & Trim. Kurtosis (6/500)-0.5487000.012800 \tabularnewline Trim. Skewness (7/500)-0.0940000.395400 & Trim. Kurtosis (7/500)-0.5770000.009000 \tabularnewline Trim. Skewness (8/500)-0.0879000.423800 & Trim. Kurtosis (8/500)-0.6042000.006400 \tabularnewline Trim. Skewness (9/500)-0.0854000.441200 & Trim. Kurtosis (9/500)-0.6241000.004800 \tabularnewline Trim. Skewness (10/500)-0.0821000.459200 & Trim. Kurtosis (10/500)-0.6456000.003600 \tabularnewline Trim. Skewness (11/500)-0.0790000.477600 & Trim. Kurtosis (11/500)-0.6622000.002800 \tabularnewline Trim. Skewness (12/500)-0.0770000.490200 & Trim. Kurtosis (12/500)-0.6785000.002400 \tabularnewline Trim. Skewness (13/500)-0.0746000.502800 & Trim. Kurtosis (13/500)-0.6909000.002000 \tabularnewline Trim. Skewness (14/500)-0.0730000.515600 & Trim. Kurtosis (14/500)-0.7015000.001800 \tabularnewline Trim. Skewness (15/500)-0.0708000.528600 & Trim. Kurtosis (15/500)-0.7120000.001600 \tabularnewline Trim. Skewness (16/500)-0.0680000.541800 & Trim. Kurtosis (16/500)-0.7236000.001200 \tabularnewline Trim. Skewness (17/500)-0.0648000.562000 & Trim. Kurtosis (17/500)-0.7348000.001200 \tabularnewline Trim. Skewness (18/500)-0.0625000.575400 & Trim. Kurtosis (18/500)-0.7441000.001000 \tabularnewline Trim. Skewness (19/500)-0.0611000.589200 & Trim. Kurtosis (19/500)-0.7529000.000800 \tabularnewline Trim. Skewness (20/500)-0.0592000.603000 & Trim. Kurtosis (20/500)-0.7618000.000800 \tabularnewline Trim. Skewness (21/500)-0.0572000.610000 & Trim. Kurtosis (21/500)-0.7716000.000600 \tabularnewline Trim. Skewness (22/500)-0.0544000.631200 & Trim. Kurtosis (22/500)-0.7802000.000600 \tabularnewline Trim. Skewness (23/500)-0.0519000.645600 & Trim. Kurtosis (23/500)-0.7896000.000600 \tabularnewline Trim. Skewness (24/500)-0.0491000.667200 & Trim. Kurtosis (24/500)-0.8000000.000400 \tabularnewline Trim. Skewness (25/500)-0.0473000.674400 & Trim. Kurtosis (25/500)-0.8066000.000400 \tabularnewline Trim. Skewness (26/500)-0.0456000.689200 & Trim. Kurtosis (26/500)-0.8128000.000400 \tabularnewline Trim. Skewness (27/500)-0.0438000.704000 & Trim. Kurtosis (27/500)-0.8202000.000400 \tabularnewline Trim. Skewness (28/500)-0.0420000.711400 & Trim. Kurtosis (28/500)-0.8282000.000400 \tabularnewline Trim. Skewness (29/500)-0.0394000.733800 & Trim. Kurtosis (29/500)-0.8357000.000400 \tabularnewline Trim. Skewness (30/500)-0.0378000.741400 & Trim. Kurtosis (30/500)-0.8412000.000200 \tabularnewline Trim. Skewness (31/500)-0.0356000.756600 & Trim. Kurtosis (31/500)-0.8467000.000200 \tabularnewline Trim. Skewness (32/500)-0.0335000.771800 & Trim. Kurtosis (32/500)-0.8530000.000200 \tabularnewline Trim. Skewness (33/500)-0.0310000.787200 & Trim. Kurtosis (33/500)-0.8591000.000200 \tabularnewline Trim. Skewness (34/500)-0.0279000.810400 & Trim. Kurtosis (34/500)-0.8651000.000200 \tabularnewline Trim. Skewness (35/500)-0.0241000.833600 & Trim. Kurtosis (35/500)-0.8704000.000200 \tabularnewline Trim. Skewness (36/500)-0.0202000.857200 & Trim. Kurtosis (36/500)-0.8762000.000200 \tabularnewline Trim. Skewness (37/500)-0.0165000.888600 & Trim. Kurtosis (37/500)-0.8825000.000200 \tabularnewline Trim. Skewness (38/500)-0.0117000.920400 & Trim. Kurtosis (38/500)-0.8874000.000200 \tabularnewline Trim. Skewness (39/500)-0.0078000.944200 & Trim. Kurtosis (39/500)-0.8915000.000200 \tabularnewline Trim. Skewness (40/500)-0.0034000.976000 & Trim. Kurtosis (40/500)-0.8959000.000200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103056&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]-0.187000[/C]0.085400[/C][C]Trim. Kurtosis (0/500)[/C]-0.079400[/C]0.711400[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.180000[/C]0.099000[/C][C]Trim. Kurtosis (1/500)[/C]-0.220300[/C]0.312400[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.152000[/C]0.164600[/C][C]Trim. Kurtosis (2/500)[/C]-0.327200[/C]0.133600[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.135900[/C]0.215000[/C][C]Trim. Kurtosis (3/500)[/C]-0.399000[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.120000[/C]0.271400[/C][C]Trim. Kurtosis (4/500)[/C]-0.461000[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.102800[/C]0.347200[/C][C]Trim. Kurtosis (5/500)[/C]-0.522100[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.098100[/C]0.373400[/C][C]Trim. Kurtosis (6/500)[/C]-0.548700[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.094000[/C]0.395400[/C][C]Trim. Kurtosis (7/500)[/C]-0.577000[/C]0.009000[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.087900[/C]0.423800[/C][C]Trim. Kurtosis (8/500)[/C]-0.604200[/C]0.006400[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.085400[/C]0.441200[/C][C]Trim. Kurtosis (9/500)[/C]-0.624100[/C]0.004800[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.082100[/C]0.459200[/C][C]Trim. Kurtosis (10/500)[/C]-0.645600[/C]0.003600[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.079000[/C]0.477600[/C][C]Trim. Kurtosis (11/500)[/C]-0.662200[/C]0.002800[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.077000[/C]0.490200[/C][C]Trim. Kurtosis (12/500)[/C]-0.678500[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.074600[/C]0.502800[/C][C]Trim. Kurtosis (13/500)[/C]-0.690900[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.073000[/C]0.515600[/C][C]Trim. Kurtosis (14/500)[/C]-0.701500[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.070800[/C]0.528600[/C][C]Trim. Kurtosis (15/500)[/C]-0.712000[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.068000[/C]0.541800[/C][C]Trim. Kurtosis (16/500)[/C]-0.723600[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.064800[/C]0.562000[/C][C]Trim. Kurtosis (17/500)[/C]-0.734800[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.062500[/C]0.575400[/C][C]Trim. Kurtosis (18/500)[/C]-0.744100[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.061100[/C]0.589200[/C][C]Trim. Kurtosis (19/500)[/C]-0.752900[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.059200[/C]0.603000[/C][C]Trim. Kurtosis (20/500)[/C]-0.761800[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.057200[/C]0.610000[/C][C]Trim. Kurtosis (21/500)[/C]-0.771600[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.054400[/C]0.631200[/C][C]Trim. Kurtosis (22/500)[/C]-0.780200[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.051900[/C]0.645600[/C][C]Trim. Kurtosis (23/500)[/C]-0.789600[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.049100[/C]0.667200[/C][C]Trim. Kurtosis (24/500)[/C]-0.800000[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.047300[/C]0.674400[/C][C]Trim. Kurtosis (25/500)[/C]-0.806600[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.045600[/C]0.689200[/C][C]Trim. Kurtosis (26/500)[/C]-0.812800[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.043800[/C]0.704000[/C][C]Trim. Kurtosis (27/500)[/C]-0.820200[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.042000[/C]0.711400[/C][C]Trim. Kurtosis (28/500)[/C]-0.828200[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.039400[/C]0.733800[/C][C]Trim. Kurtosis (29/500)[/C]-0.835700[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.037800[/C]0.741400[/C][C]Trim. Kurtosis (30/500)[/C]-0.841200[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.035600[/C]0.756600[/C][C]Trim. Kurtosis (31/500)[/C]-0.846700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.033500[/C]0.771800[/C][C]Trim. Kurtosis (32/500)[/C]-0.853000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.031000[/C]0.787200[/C][C]Trim. Kurtosis (33/500)[/C]-0.859100[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.027900[/C]0.810400[/C][C]Trim. Kurtosis (34/500)[/C]-0.865100[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.024100[/C]0.833600[/C][C]Trim. Kurtosis (35/500)[/C]-0.870400[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.020200[/C]0.857200[/C][C]Trim. Kurtosis (36/500)[/C]-0.876200[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.016500[/C]0.888600[/C][C]Trim. Kurtosis (37/500)[/C]-0.882500[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.011700[/C]0.920400[/C][C]Trim. Kurtosis (38/500)[/C]-0.887400[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.007800[/C]0.944200[/C][C]Trim. Kurtosis (39/500)[/C]-0.891500[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.003400[/C]0.976000[/C][C]Trim. Kurtosis (40/500)[/C]-0.895900[/C]0.000200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103056&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103056&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)-0.1870000.085400Trim. Kurtosis (0/500)-0.0794000.711400
Trim. Skewness (1/500)-0.1800000.099000Trim. Kurtosis (1/500)-0.2203000.312400
Trim. Skewness (2/500)-0.1520000.164600Trim. Kurtosis (2/500)-0.3272000.133600
Trim. Skewness (3/500)-0.1359000.215000Trim. Kurtosis (3/500)-0.3990000.068800
Trim. Skewness (4/500)-0.1200000.271400Trim. Kurtosis (4/500)-0.4610000.035800
Trim. Skewness (5/500)-0.1028000.347200Trim. Kurtosis (5/500)-0.5221000.017400
Trim. Skewness (6/500)-0.0981000.373400Trim. Kurtosis (6/500)-0.5487000.012800
Trim. Skewness (7/500)-0.0940000.395400Trim. Kurtosis (7/500)-0.5770000.009000
Trim. Skewness (8/500)-0.0879000.423800Trim. Kurtosis (8/500)-0.6042000.006400
Trim. Skewness (9/500)-0.0854000.441200Trim. Kurtosis (9/500)-0.6241000.004800
Trim. Skewness (10/500)-0.0821000.459200Trim. Kurtosis (10/500)-0.6456000.003600
Trim. Skewness (11/500)-0.0790000.477600Trim. Kurtosis (11/500)-0.6622000.002800
Trim. Skewness (12/500)-0.0770000.490200Trim. Kurtosis (12/500)-0.6785000.002400
Trim. Skewness (13/500)-0.0746000.502800Trim. Kurtosis (13/500)-0.6909000.002000
Trim. Skewness (14/500)-0.0730000.515600Trim. Kurtosis (14/500)-0.7015000.001800
Trim. Skewness (15/500)-0.0708000.528600Trim. Kurtosis (15/500)-0.7120000.001600
Trim. Skewness (16/500)-0.0680000.541800Trim. Kurtosis (16/500)-0.7236000.001200
Trim. Skewness (17/500)-0.0648000.562000Trim. Kurtosis (17/500)-0.7348000.001200
Trim. Skewness (18/500)-0.0625000.575400Trim. Kurtosis (18/500)-0.7441000.001000
Trim. Skewness (19/500)-0.0611000.589200Trim. Kurtosis (19/500)-0.7529000.000800
Trim. Skewness (20/500)-0.0592000.603000Trim. Kurtosis (20/500)-0.7618000.000800
Trim. Skewness (21/500)-0.0572000.610000Trim. Kurtosis (21/500)-0.7716000.000600
Trim. Skewness (22/500)-0.0544000.631200Trim. Kurtosis (22/500)-0.7802000.000600
Trim. Skewness (23/500)-0.0519000.645600Trim. Kurtosis (23/500)-0.7896000.000600
Trim. Skewness (24/500)-0.0491000.667200Trim. Kurtosis (24/500)-0.8000000.000400
Trim. Skewness (25/500)-0.0473000.674400Trim. Kurtosis (25/500)-0.8066000.000400
Trim. Skewness (26/500)-0.0456000.689200Trim. Kurtosis (26/500)-0.8128000.000400
Trim. Skewness (27/500)-0.0438000.704000Trim. Kurtosis (27/500)-0.8202000.000400
Trim. Skewness (28/500)-0.0420000.711400Trim. Kurtosis (28/500)-0.8282000.000400
Trim. Skewness (29/500)-0.0394000.733800Trim. Kurtosis (29/500)-0.8357000.000400
Trim. Skewness (30/500)-0.0378000.741400Trim. Kurtosis (30/500)-0.8412000.000200
Trim. Skewness (31/500)-0.0356000.756600Trim. Kurtosis (31/500)-0.8467000.000200
Trim. Skewness (32/500)-0.0335000.771800Trim. Kurtosis (32/500)-0.8530000.000200
Trim. Skewness (33/500)-0.0310000.787200Trim. Kurtosis (33/500)-0.8591000.000200
Trim. Skewness (34/500)-0.0279000.810400Trim. Kurtosis (34/500)-0.8651000.000200
Trim. Skewness (35/500)-0.0241000.833600Trim. Kurtosis (35/500)-0.8704000.000200
Trim. Skewness (36/500)-0.0202000.857200Trim. Kurtosis (36/500)-0.8762000.000200
Trim. Skewness (37/500)-0.0165000.888600Trim. Kurtosis (37/500)-0.8825000.000200
Trim. Skewness (38/500)-0.0117000.920400Trim. Kurtosis (38/500)-0.8874000.000200
Trim. Skewness (39/500)-0.0078000.944200Trim. Kurtosis (39/500)-0.8915000.000200
Trim. Skewness (40/500)-0.0034000.976000Trim. Kurtosis (40/500)-0.8959000.000200


Figures (Output of Computation)

Input Parameters & R Code

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