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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 19:23:46 +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/t1291058529ofr1lmyns0wo60z.htm/, Retrieved Mon, 29 Apr 2024 12:11:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103046, Retrieved Mon, 29 Apr 2024 12:11:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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] [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.1.95382e+9FISHER 4th Cent. Mom.2.62014e+16
FISHER beta 10.000004FISHER beta 22.786570
FISHER gamma 10.002046FISHER gamma 2-0.213430
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.018679FISHER Test 2-0.974170
FISHER Test 1 Probability0.984000FISHER Test 2 Probability0.327000
Pearson 20.054612
Yule using Quartile definition:Weighted Average at Xnp-0.011926
Yule using Quartile definition:Weighted Average at X(n+1)p-0.003334
Yule using Quartile definition:Empirical Distribution Function-0.011926
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.005498
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.007677
Yule using Quartile definition:Closest Observation-0.011926
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.007677
Yule using Quartile definition:MS Excel (old versions)-0.001182
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.002052Kurtosis (small sample)-0.203483
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.018791TEST 1 (small sample)-0.933382
TEST 1 Prob. (small sample)0.984000TEST 1 Prob. (small sample)0.347200
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.1.95382e+9 & FISHER 4th Cent. Mom.2.62014e+16 \tabularnewline FISHER beta 10.000004 & FISHER beta 22.786570 \tabularnewline FISHER gamma 10.002046 & FISHER gamma 2-0.213430 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 10.018679 & FISHER Test 2-0.974170 \tabularnewline FISHER Test 1 Probability0.984000 & FISHER Test 2 Probability0.327000 \tabularnewline Pearson 20.054612 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.011926 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.003334 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.011926 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.005498 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.007677 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.011926 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.007677 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.001182 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.002052 & Kurtosis (small sample)-0.203483 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)0.018791 & TEST 1 (small sample)-0.933382 \tabularnewline TEST 1 Prob. (small sample)0.984000 & TEST 1 Prob. (small sample)0.347200 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103046&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]1.95382e+9[/C][C]FISHER 4th Cent. Mom.[/C]2.62014e+16[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.000004[/C][C]FISHER beta 2[/C]2.786570[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.002046[/C][C]FISHER gamma 2[/C]-0.213430[/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]0.018679[/C][C]FISHER Test 2[/C]-0.974170[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.984000[/C][C]FISHER Test 2 Probability[/C]0.327000[/C][/ROW] [ROW][C]Pearson 2[/C]0.054612[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.011926[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.003334[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.011926[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.005498[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.007677[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.011926[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.007677[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.001182[/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]0.002052[/C][C]Kurtosis (small sample)[/C]-0.203483[/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]0.018791[/C][C]TEST 1 (small sample)[/C]-0.933382[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.984000[/C][C]TEST 1 Prob. (small sample)[/C]0.347200[/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=103046&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103046&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.1.95382e+9FISHER 4th Cent. Mom.2.62014e+16
FISHER beta 10.000004FISHER beta 22.786570
FISHER gamma 10.002046FISHER gamma 2-0.213430
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.018679FISHER Test 2-0.974170
FISHER Test 1 Probability0.984000FISHER Test 2 Probability0.327000
Pearson 20.054612
Yule using Quartile definition:Weighted Average at Xnp-0.011926
Yule using Quartile definition:Weighted Average at X(n+1)p-0.003334
Yule using Quartile definition:Empirical Distribution Function-0.011926
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.005498
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.007677
Yule using Quartile definition:Closest Observation-0.011926
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.007677
Yule using Quartile definition:MS Excel (old versions)-0.001182
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.002052Kurtosis (small sample)-0.203483
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.018791TEST 1 (small sample)-0.933382
TEST 1 Prob. (small sample)0.984000TEST 1 Prob. (small sample)0.347200
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.0021000.984000Trim. Kurtosis (0/500)-0.2035000.347200
Trim. Skewness (1/500)0.0067000.944200Trim. Kurtosis (1/500)-0.2787000.200600
Trim. Skewness (2/500)0.0117000.912400Trim. Kurtosis (2/500)-0.3357000.123600
Trim. Skewness (3/500)0.0242000.818000Trim. Kurtosis (3/500)-0.3781000.083600
Trim. Skewness (4/500)0.0285000.794800Trim. Kurtosis (4/500)-0.4028000.065800
Trim. Skewness (5/500)0.0325000.764200Trim. Kurtosis (5/500)-0.4291000.051200
Trim. Skewness (6/500)0.0359000.741400Trim. Kurtosis (6/500)-0.4524000.039400
Trim. Skewness (7/500)0.0399000.711400Trim. Kurtosis (7/500)-0.4749000.031600
Trim. Skewness (8/500)0.0460000.674400Trim. Kurtosis (8/500)-0.4972000.024400
Trim. Skewness (9/500)0.0500000.652800Trim. Kurtosis (9/500)-0.5145000.020400
Trim. Skewness (10/500)0.0541000.624200Trim. Kurtosis (10/500)-0.5340000.016000
Trim. Skewness (11/500)0.0583000.596200Trim. Kurtosis (11/500)-0.5544000.012800
Trim. Skewness (12/500)0.0618000.575400Trim. Kurtosis (12/500)-0.5704000.010400
Trim. Skewness (13/500)0.0639000.562000Trim. Kurtosis (13/500)-0.5836000.009000
Trim. Skewness (14/500)0.0666000.548400Trim. Kurtosis (14/500)-0.5979000.007600
Trim. Skewness (15/500)0.0689000.535200Trim. Kurtosis (15/500)-0.6138000.006200
Trim. Skewness (16/500)0.0715000.522200Trim. Kurtosis (16/500)-0.6296000.005200
Trim. Skewness (17/500)0.0745000.509200Trim. Kurtosis (17/500)-0.6473000.004200
Trim. Skewness (18/500)0.0763000.496400Trim. Kurtosis (18/500)-0.6649000.003200
Trim. Skewness (19/500)0.0761000.502800Trim. Kurtosis (19/500)-0.6792000.002600
Trim. Skewness (20/500)0.0762000.502800Trim. Kurtosis (20/500)-0.6950000.002200
Trim. Skewness (21/500)0.0762000.502800Trim. Kurtosis (21/500)-0.7114000.001800
Trim. Skewness (22/500)0.0759000.502800Trim. Kurtosis (22/500)-0.7293000.001400
Trim. Skewness (23/500)0.0735000.515600Trim. Kurtosis (23/500)-0.7457000.001000
Trim. Skewness (24/500)0.0700000.541800Trim. Kurtosis (24/500)-0.7625000.000800
Trim. Skewness (25/500)0.0688000.548400Trim. Kurtosis (25/500)-0.7755000.000800
Trim. Skewness (26/500)0.0680000.555200Trim. Kurtosis (26/500)-0.7889000.000600
Trim. Skewness (27/500)0.0675000.555200Trim. Kurtosis (27/500)-0.7996000.000600
Trim. Skewness (28/500)0.0682000.555200Trim. Kurtosis (28/500)-0.8084000.000400
Trim. Skewness (29/500)0.0693000.548400Trim. Kurtosis (29/500)-0.8151000.000400
Trim. Skewness (30/500)0.0708000.541800Trim. Kurtosis (30/500)-0.8208000.000400
Trim. Skewness (31/500)0.0719000.535200Trim. Kurtosis (31/500)-0.8266000.000400
Trim. Skewness (32/500)0.0725000.528600Trim. Kurtosis (32/500)-0.8321000.000400
Trim. Skewness (33/500)0.0737000.528600Trim. Kurtosis (33/500)-0.8375000.000400
Trim. Skewness (34/500)0.0748000.522200Trim. Kurtosis (34/500)-0.8441000.000400
Trim. Skewness (35/500)0.0759000.515600Trim. Kurtosis (35/500)-0.8518000.000200
Trim. Skewness (36/500)0.0774000.509200Trim. Kurtosis (36/500)-0.8599000.000200
Trim. Skewness (37/500)0.0787000.502800Trim. Kurtosis (37/500)-0.8687000.000200
Trim. Skewness (38/500)0.0801000.496400Trim. Kurtosis (38/500)-0.8788000.000200
Trim. Skewness (39/500)0.0815000.490200Trim. Kurtosis (39/500)-0.8899000.000200
Trim. Skewness (40/500)0.0827000.484000Trim. Kurtosis (40/500)-0.9018000.000200

\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)0.0021000.984000 & Trim. Kurtosis (0/500)-0.2035000.347200 \tabularnewline Trim. Skewness (1/500)0.0067000.944200 & Trim. Kurtosis (1/500)-0.2787000.200600 \tabularnewline Trim. Skewness (2/500)0.0117000.912400 & Trim. Kurtosis (2/500)-0.3357000.123600 \tabularnewline Trim. Skewness (3/500)0.0242000.818000 & Trim. Kurtosis (3/500)-0.3781000.083600 \tabularnewline Trim. Skewness (4/500)0.0285000.794800 & Trim. Kurtosis (4/500)-0.4028000.065800 \tabularnewline Trim. Skewness (5/500)0.0325000.764200 & Trim. Kurtosis (5/500)-0.4291000.051200 \tabularnewline Trim. Skewness (6/500)0.0359000.741400 & Trim. Kurtosis (6/500)-0.4524000.039400 \tabularnewline Trim. Skewness (7/500)0.0399000.711400 & Trim. Kurtosis (7/500)-0.4749000.031600 \tabularnewline Trim. Skewness (8/500)0.0460000.674400 & Trim. Kurtosis (8/500)-0.4972000.024400 \tabularnewline Trim. Skewness (9/500)0.0500000.652800 & Trim. Kurtosis (9/500)-0.5145000.020400 \tabularnewline Trim. Skewness (10/500)0.0541000.624200 & Trim. Kurtosis (10/500)-0.5340000.016000 \tabularnewline Trim. Skewness (11/500)0.0583000.596200 & Trim. Kurtosis (11/500)-0.5544000.012800 \tabularnewline Trim. Skewness (12/500)0.0618000.575400 & Trim. Kurtosis (12/500)-0.5704000.010400 \tabularnewline Trim. Skewness (13/500)0.0639000.562000 & Trim. Kurtosis (13/500)-0.5836000.009000 \tabularnewline Trim. Skewness (14/500)0.0666000.548400 & Trim. Kurtosis (14/500)-0.5979000.007600 \tabularnewline Trim. Skewness (15/500)0.0689000.535200 & Trim. Kurtosis (15/500)-0.6138000.006200 \tabularnewline Trim. Skewness (16/500)0.0715000.522200 & Trim. Kurtosis (16/500)-0.6296000.005200 \tabularnewline Trim. Skewness (17/500)0.0745000.509200 & Trim. Kurtosis (17/500)-0.6473000.004200 \tabularnewline Trim. Skewness (18/500)0.0763000.496400 & Trim. Kurtosis (18/500)-0.6649000.003200 \tabularnewline Trim. Skewness (19/500)0.0761000.502800 & Trim. Kurtosis (19/500)-0.6792000.002600 \tabularnewline Trim. Skewness (20/500)0.0762000.502800 & Trim. Kurtosis (20/500)-0.6950000.002200 \tabularnewline Trim. Skewness (21/500)0.0762000.502800 & Trim. Kurtosis (21/500)-0.7114000.001800 \tabularnewline Trim. Skewness (22/500)0.0759000.502800 & Trim. Kurtosis (22/500)-0.7293000.001400 \tabularnewline Trim. Skewness (23/500)0.0735000.515600 & Trim. Kurtosis (23/500)-0.7457000.001000 \tabularnewline Trim. Skewness (24/500)0.0700000.541800 & Trim. Kurtosis (24/500)-0.7625000.000800 \tabularnewline Trim. Skewness (25/500)0.0688000.548400 & Trim. Kurtosis (25/500)-0.7755000.000800 \tabularnewline Trim. Skewness (26/500)0.0680000.555200 & Trim. Kurtosis (26/500)-0.7889000.000600 \tabularnewline Trim. Skewness (27/500)0.0675000.555200 & Trim. Kurtosis (27/500)-0.7996000.000600 \tabularnewline Trim. Skewness (28/500)0.0682000.555200 & Trim. Kurtosis (28/500)-0.8084000.000400 \tabularnewline Trim. Skewness (29/500)0.0693000.548400 & Trim. Kurtosis (29/500)-0.8151000.000400 \tabularnewline Trim. Skewness (30/500)0.0708000.541800 & Trim. Kurtosis (30/500)-0.8208000.000400 \tabularnewline Trim. Skewness (31/500)0.0719000.535200 & Trim. Kurtosis (31/500)-0.8266000.000400 \tabularnewline Trim. Skewness (32/500)0.0725000.528600 & Trim. Kurtosis (32/500)-0.8321000.000400 \tabularnewline Trim. Skewness (33/500)0.0737000.528600 & Trim. Kurtosis (33/500)-0.8375000.000400 \tabularnewline Trim. Skewness (34/500)0.0748000.522200 & Trim. Kurtosis (34/500)-0.8441000.000400 \tabularnewline Trim. Skewness (35/500)0.0759000.515600 & Trim. Kurtosis (35/500)-0.8518000.000200 \tabularnewline Trim. Skewness (36/500)0.0774000.509200 & Trim. Kurtosis (36/500)-0.8599000.000200 \tabularnewline Trim. Skewness (37/500)0.0787000.502800 & Trim. Kurtosis (37/500)-0.8687000.000200 \tabularnewline Trim. Skewness (38/500)0.0801000.496400 & Trim. Kurtosis (38/500)-0.8788000.000200 \tabularnewline Trim. Skewness (39/500)0.0815000.490200 & Trim. Kurtosis (39/500)-0.8899000.000200 \tabularnewline Trim. Skewness (40/500)0.0827000.484000 & Trim. Kurtosis (40/500)-0.9018000.000200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103046&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]0.002100[/C]0.984000[/C][C]Trim. Kurtosis (0/500)[/C]-0.203500[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.006700[/C]0.944200[/C][C]Trim. Kurtosis (1/500)[/C]-0.278700[/C]0.200600[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.011700[/C]0.912400[/C][C]Trim. Kurtosis (2/500)[/C]-0.335700[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.024200[/C]0.818000[/C][C]Trim. Kurtosis (3/500)[/C]-0.378100[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.028500[/C]0.794800[/C][C]Trim. Kurtosis (4/500)[/C]-0.402800[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.032500[/C]0.764200[/C][C]Trim. Kurtosis (5/500)[/C]-0.429100[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.035900[/C]0.741400[/C][C]Trim. Kurtosis (6/500)[/C]-0.452400[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.039900[/C]0.711400[/C][C]Trim. Kurtosis (7/500)[/C]-0.474900[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.046000[/C]0.674400[/C][C]Trim. Kurtosis (8/500)[/C]-0.497200[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.050000[/C]0.652800[/C][C]Trim. Kurtosis (9/500)[/C]-0.514500[/C]0.020400[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.054100[/C]0.624200[/C][C]Trim. Kurtosis (10/500)[/C]-0.534000[/C]0.016000[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.058300[/C]0.596200[/C][C]Trim. Kurtosis (11/500)[/C]-0.554400[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.061800[/C]0.575400[/C][C]Trim. Kurtosis (12/500)[/C]-0.570400[/C]0.010400[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.063900[/C]0.562000[/C][C]Trim. Kurtosis (13/500)[/C]-0.583600[/C]0.009000[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.066600[/C]0.548400[/C][C]Trim. Kurtosis (14/500)[/C]-0.597900[/C]0.007600[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.068900[/C]0.535200[/C][C]Trim. Kurtosis (15/500)[/C]-0.613800[/C]0.006200[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.071500[/C]0.522200[/C][C]Trim. Kurtosis (16/500)[/C]-0.629600[/C]0.005200[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.074500[/C]0.509200[/C][C]Trim. Kurtosis (17/500)[/C]-0.647300[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.076300[/C]0.496400[/C][C]Trim. Kurtosis (18/500)[/C]-0.664900[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]0.076100[/C]0.502800[/C][C]Trim. Kurtosis (19/500)[/C]-0.679200[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]0.076200[/C]0.502800[/C][C]Trim. Kurtosis (20/500)[/C]-0.695000[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]0.076200[/C]0.502800[/C][C]Trim. Kurtosis (21/500)[/C]-0.711400[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]0.075900[/C]0.502800[/C][C]Trim. Kurtosis (22/500)[/C]-0.729300[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]0.073500[/C]0.515600[/C][C]Trim. Kurtosis (23/500)[/C]-0.745700[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]0.070000[/C]0.541800[/C][C]Trim. Kurtosis (24/500)[/C]-0.762500[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]0.068800[/C]0.548400[/C][C]Trim. Kurtosis (25/500)[/C]-0.775500[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]0.068000[/C]0.555200[/C][C]Trim. Kurtosis (26/500)[/C]-0.788900[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]0.067500[/C]0.555200[/C][C]Trim. Kurtosis (27/500)[/C]-0.799600[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]0.068200[/C]0.555200[/C][C]Trim. Kurtosis (28/500)[/C]-0.808400[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]0.069300[/C]0.548400[/C][C]Trim. Kurtosis (29/500)[/C]-0.815100[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]0.070800[/C]0.541800[/C][C]Trim. Kurtosis (30/500)[/C]-0.820800[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.071900[/C]0.535200[/C][C]Trim. Kurtosis (31/500)[/C]-0.826600[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.072500[/C]0.528600[/C][C]Trim. Kurtosis (32/500)[/C]-0.832100[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.073700[/C]0.528600[/C][C]Trim. Kurtosis (33/500)[/C]-0.837500[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.074800[/C]0.522200[/C][C]Trim. Kurtosis (34/500)[/C]-0.844100[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.075900[/C]0.515600[/C][C]Trim. Kurtosis (35/500)[/C]-0.851800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.077400[/C]0.509200[/C][C]Trim. Kurtosis (36/500)[/C]-0.859900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.078700[/C]0.502800[/C][C]Trim. Kurtosis (37/500)[/C]-0.868700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.080100[/C]0.496400[/C][C]Trim. Kurtosis (38/500)[/C]-0.878800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.081500[/C]0.490200[/C][C]Trim. Kurtosis (39/500)[/C]-0.889900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.082700[/C]0.484000[/C][C]Trim. Kurtosis (40/500)[/C]-0.901800[/C]0.000200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103046&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103046&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)0.0021000.984000Trim. Kurtosis (0/500)-0.2035000.347200
Trim. Skewness (1/500)0.0067000.944200Trim. Kurtosis (1/500)-0.2787000.200600
Trim. Skewness (2/500)0.0117000.912400Trim. Kurtosis (2/500)-0.3357000.123600
Trim. Skewness (3/500)0.0242000.818000Trim. Kurtosis (3/500)-0.3781000.083600
Trim. Skewness (4/500)0.0285000.794800Trim. Kurtosis (4/500)-0.4028000.065800
Trim. Skewness (5/500)0.0325000.764200Trim. Kurtosis (5/500)-0.4291000.051200
Trim. Skewness (6/500)0.0359000.741400Trim. Kurtosis (6/500)-0.4524000.039400
Trim. Skewness (7/500)0.0399000.711400Trim. Kurtosis (7/500)-0.4749000.031600
Trim. Skewness (8/500)0.0460000.674400Trim. Kurtosis (8/500)-0.4972000.024400
Trim. Skewness (9/500)0.0500000.652800Trim. Kurtosis (9/500)-0.5145000.020400
Trim. Skewness (10/500)0.0541000.624200Trim. Kurtosis (10/500)-0.5340000.016000
Trim. Skewness (11/500)0.0583000.596200Trim. Kurtosis (11/500)-0.5544000.012800
Trim. Skewness (12/500)0.0618000.575400Trim. Kurtosis (12/500)-0.5704000.010400
Trim. Skewness (13/500)0.0639000.562000Trim. Kurtosis (13/500)-0.5836000.009000
Trim. Skewness (14/500)0.0666000.548400Trim. Kurtosis (14/500)-0.5979000.007600
Trim. Skewness (15/500)0.0689000.535200Trim. Kurtosis (15/500)-0.6138000.006200
Trim. Skewness (16/500)0.0715000.522200Trim. Kurtosis (16/500)-0.6296000.005200
Trim. Skewness (17/500)0.0745000.509200Trim. Kurtosis (17/500)-0.6473000.004200
Trim. Skewness (18/500)0.0763000.496400Trim. Kurtosis (18/500)-0.6649000.003200
Trim. Skewness (19/500)0.0761000.502800Trim. Kurtosis (19/500)-0.6792000.002600
Trim. Skewness (20/500)0.0762000.502800Trim. Kurtosis (20/500)-0.6950000.002200
Trim. Skewness (21/500)0.0762000.502800Trim. Kurtosis (21/500)-0.7114000.001800
Trim. Skewness (22/500)0.0759000.502800Trim. Kurtosis (22/500)-0.7293000.001400
Trim. Skewness (23/500)0.0735000.515600Trim. Kurtosis (23/500)-0.7457000.001000
Trim. Skewness (24/500)0.0700000.541800Trim. Kurtosis (24/500)-0.7625000.000800
Trim. Skewness (25/500)0.0688000.548400Trim. Kurtosis (25/500)-0.7755000.000800
Trim. Skewness (26/500)0.0680000.555200Trim. Kurtosis (26/500)-0.7889000.000600
Trim. Skewness (27/500)0.0675000.555200Trim. Kurtosis (27/500)-0.7996000.000600
Trim. Skewness (28/500)0.0682000.555200Trim. Kurtosis (28/500)-0.8084000.000400
Trim. Skewness (29/500)0.0693000.548400Trim. Kurtosis (29/500)-0.8151000.000400
Trim. Skewness (30/500)0.0708000.541800Trim. Kurtosis (30/500)-0.8208000.000400
Trim. Skewness (31/500)0.0719000.535200Trim. Kurtosis (31/500)-0.8266000.000400
Trim. Skewness (32/500)0.0725000.528600Trim. Kurtosis (32/500)-0.8321000.000400
Trim. Skewness (33/500)0.0737000.528600Trim. Kurtosis (33/500)-0.8375000.000400
Trim. Skewness (34/500)0.0748000.522200Trim. Kurtosis (34/500)-0.8441000.000400
Trim. Skewness (35/500)0.0759000.515600Trim. Kurtosis (35/500)-0.8518000.000200
Trim. Skewness (36/500)0.0774000.509200Trim. Kurtosis (36/500)-0.8599000.000200
Trim. Skewness (37/500)0.0787000.502800Trim. Kurtosis (37/500)-0.8687000.000200
Trim. Skewness (38/500)0.0801000.496400Trim. Kurtosis (38/500)-0.8788000.000200
Trim. Skewness (39/500)0.0815000.490200Trim. Kurtosis (39/500)-0.8899000.000200
Trim. Skewness (40/500)0.0827000.484000Trim. Kurtosis (40/500)-0.9018000.000200


Figures (Output of Computation)

Input Parameters & R Code

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