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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 19:20:37 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/29/t1291058333j5u3kow5gy4xj0j.htm/, Retrieved Mon, 29 Apr 2024 10:24:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103045, Retrieved Mon, 29 Apr 2024 10:24:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact62

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 18:24:10] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                            [Skewness and Kurtosis] [] [2010-11-29 18:26:31] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                              [Skewness and Kurtosis] [] [2010-11-29 18:28:06] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                [Skewness and Kurtosis] [] [2010-11-29 18:29:55] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                  [Skewness and Kurtosis] [] [2010-11-29 18:31:43] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                    [Skewness and Kurtosis] [] [2010-11-29 19:17:23] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                      [Skewness and Kurtosis] [] [2010-11-29 19:19:08] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                          [Skewness and Kurtosis] [] [2010-11-29 19:20:37] [5842cf9dd57f9603e676e11284d3404a] [Current]
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Dataset

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Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.76847e+7FISHER 4th Cent. Mom.1.53755e+12
FISHER beta 10.000335FISHER beta 21.611194
FISHER gamma 1-0.018316FISHER gamma 2-1.388806
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.167204FISHER Test 2-6.339005
FISHER Test 1 Probability0.865000FISHER Test 2 Probability0.000000
Pearson 2-0.493057
Yule using Quartile definition:Weighted Average at Xnp-0.262846
Yule using Quartile definition:Weighted Average at X(n+1)p-0.258368
Yule using Quartile definition:Empirical Distribution Function-0.262846
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.259844
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.261323
Yule using Quartile definition:Closest Observation-0.262846
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.261323
Yule using Quartile definition:MS Excel (old versions)-0.256895
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.018371Kurtosis (small sample)-1.390698
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.168209TEST 1 (small sample)-6.379173
TEST 1 Prob. (small sample)0.865000TEST 1 Prob. (small sample)0.000000
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-1.76847e+7 & FISHER 4th Cent. Mom.1.53755e+12 \tabularnewline FISHER beta 10.000335 & FISHER beta 21.611194 \tabularnewline FISHER gamma 1-0.018316 & FISHER gamma 2-1.388806 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-0.167204 & FISHER Test 2-6.339005 \tabularnewline FISHER Test 1 Probability0.865000 & FISHER Test 2 Probability0.000000 \tabularnewline Pearson 2-0.493057 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.262846 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.258368 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.262846 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.259844 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.261323 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.262846 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.261323 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.256895 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.018371 & Kurtosis (small sample)-1.390698 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-0.168209 & TEST 1 (small sample)-6.379173 \tabularnewline TEST 1 Prob. (small sample)0.865000 & TEST 1 Prob. (small sample)0.000000 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103045&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]-1.76847e+7[/C][C]FISHER 4th Cent. Mom.[/C]1.53755e+12[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.000335[/C][C]FISHER beta 2[/C]1.611194[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.018316[/C][C]FISHER gamma 2[/C]-1.388806[/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]-0.167204[/C][C]FISHER Test 2[/C]-6.339005[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.865000[/C][C]FISHER Test 2 Probability[/C]0.000000[/C][/ROW] [ROW][C]Pearson 2[/C]-0.493057[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.262846[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.258368[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.262846[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.259844[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.261323[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.262846[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.261323[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.256895[/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]-0.018371[/C][C]Kurtosis (small sample)[/C]-1.390698[/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]-0.168209[/C][C]TEST 1 (small sample)[/C]-6.379173[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.865000[/C][C]TEST 1 Prob. (small sample)[/C]0.000000[/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=103045&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103045&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.-1.76847e+7FISHER 4th Cent. Mom.1.53755e+12
FISHER beta 10.000335FISHER beta 21.611194
FISHER gamma 1-0.018316FISHER gamma 2-1.388806
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.167204FISHER Test 2-6.339005
FISHER Test 1 Probability0.865000FISHER Test 2 Probability0.000000
Pearson 2-0.493057
Yule using Quartile definition:Weighted Average at Xnp-0.262846
Yule using Quartile definition:Weighted Average at X(n+1)p-0.258368
Yule using Quartile definition:Empirical Distribution Function-0.262846
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.259844
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.261323
Yule using Quartile definition:Closest Observation-0.262846
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.261323
Yule using Quartile definition:MS Excel (old versions)-0.256895
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.018371Kurtosis (small sample)-1.390698
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.168209TEST 1 (small sample)-6.379173
TEST 1 Prob. (small sample)0.865000TEST 1 Prob. (small sample)0.000000
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.0184000.865000Trim. Kurtosis (0/500)-1.3907000.000000
Trim. Skewness (1/500)-0.0189000.857200Trim. Kurtosis (1/500)-1.3969000.000000
Trim. Skewness (2/500)-0.0201000.849200Trim. Kurtosis (2/500)-1.4020000.000000
Trim. Skewness (3/500)-0.0217000.841400Trim. Kurtosis (3/500)-1.4066000.000000
Trim. Skewness (4/500)-0.0233000.825800Trim. Kurtosis (4/500)-1.4112000.000000
Trim. Skewness (5/500)-0.0242000.825800Trim. Kurtosis (5/500)-1.4145000.000000
Trim. Skewness (6/500)-0.0250000.818000Trim. Kurtosis (6/500)-1.4175000.000000
Trim. Skewness (7/500)-0.0259000.810400Trim. Kurtosis (7/500)-1.4205000.000000
Trim. Skewness (8/500)-0.0268000.802600Trim. Kurtosis (8/500)-1.4231000.000000
Trim. Skewness (9/500)-0.0278000.802600Trim. Kurtosis (9/500)-1.4257000.000000
Trim. Skewness (10/500)-0.0289000.794800Trim. Kurtosis (10/500)-1.4278000.000000
Trim. Skewness (11/500)-0.0300000.787200Trim. Kurtosis (11/500)-1.4302000.000000
Trim. Skewness (12/500)-0.0313000.779400Trim. Kurtosis (12/500)-1.4322000.000000
Trim. Skewness (13/500)-0.0325000.764200Trim. Kurtosis (13/500)-1.4338000.000000
Trim. Skewness (14/500)-0.0336000.764200Trim. Kurtosis (14/500)-1.4348000.000000
Trim. Skewness (15/500)-0.0345000.756600Trim. Kurtosis (15/500)-1.4357000.000000
Trim. Skewness (16/500)-0.0358000.749000Trim. Kurtosis (16/500)-1.4364000.000000
Trim. Skewness (17/500)-0.0372000.741400Trim. Kurtosis (17/500)-1.4371000.000000
Trim. Skewness (18/500)-0.0387000.726400Trim. Kurtosis (18/500)-1.4376000.000000
Trim. Skewness (19/500)-0.0403000.718800Trim. Kurtosis (19/500)-1.4379000.000000
Trim. Skewness (20/500)-0.0420000.711400Trim. Kurtosis (20/500)-1.4383000.000000
Trim. Skewness (21/500)-0.0437000.696600Trim. Kurtosis (21/500)-1.4387000.000000
Trim. Skewness (22/500)-0.0455000.689200Trim. Kurtosis (22/500)-1.4392000.000000
Trim. Skewness (23/500)-0.0473000.674400Trim. Kurtosis (23/500)-1.4397000.000000
Trim. Skewness (24/500)-0.0490000.667200Trim. Kurtosis (24/500)-1.4402000.000000
Trim. Skewness (25/500)-0.0507000.652800Trim. Kurtosis (25/500)-1.4404000.000000
Trim. Skewness (26/500)-0.0525000.645600Trim. Kurtosis (26/500)-1.4407000.000000
Trim. Skewness (27/500)-0.0545000.631200Trim. Kurtosis (27/500)-1.4410000.000000
Trim. Skewness (28/500)-0.0564000.624200Trim. Kurtosis (28/500)-1.4412000.000000
Trim. Skewness (29/500)-0.0583000.610000Trim. Kurtosis (29/500)-1.4415000.000000
Trim. Skewness (30/500)-0.0602000.603000Trim. Kurtosis (30/500)-1.4416000.000000
Trim. Skewness (31/500)-0.0621000.589200Trim. Kurtosis (31/500)-1.4418000.000000
Trim. Skewness (32/500)-0.0641000.582400Trim. Kurtosis (32/500)-1.4419000.000000
Trim. Skewness (33/500)-0.0662000.568600Trim. Kurtosis (33/500)-1.4421000.000000
Trim. Skewness (34/500)-0.0682000.555200Trim. Kurtosis (34/500)-1.4421000.000000
Trim. Skewness (35/500)-0.0701000.548400Trim. Kurtosis (35/500)-1.4419000.000000
Trim. Skewness (36/500)-0.0720000.535200Trim. Kurtosis (36/500)-1.4416000.000000
Trim. Skewness (37/500)-0.0738000.528600Trim. Kurtosis (37/500)-1.4413000.000000
Trim. Skewness (38/500)-0.0754000.522200Trim. Kurtosis (38/500)-1.4408000.000000
Trim. Skewness (39/500)-0.0770000.515600Trim. Kurtosis (39/500)-1.4402000.000000
Trim. Skewness (40/500)-0.0785000.509200Trim. Kurtosis (40/500)-1.4394000.000000

\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)-0.0184000.865000 & Trim. Kurtosis (0/500)-1.3907000.000000 \tabularnewline Trim. Skewness (1/500)-0.0189000.857200 & Trim. Kurtosis (1/500)-1.3969000.000000 \tabularnewline Trim. Skewness (2/500)-0.0201000.849200 & Trim. Kurtosis (2/500)-1.4020000.000000 \tabularnewline Trim. Skewness (3/500)-0.0217000.841400 & Trim. Kurtosis (3/500)-1.4066000.000000 \tabularnewline Trim. Skewness (4/500)-0.0233000.825800 & Trim. Kurtosis (4/500)-1.4112000.000000 \tabularnewline Trim. Skewness (5/500)-0.0242000.825800 & Trim. Kurtosis (5/500)-1.4145000.000000 \tabularnewline Trim. Skewness (6/500)-0.0250000.818000 & Trim. Kurtosis (6/500)-1.4175000.000000 \tabularnewline Trim. Skewness (7/500)-0.0259000.810400 & Trim. Kurtosis (7/500)-1.4205000.000000 \tabularnewline Trim. Skewness (8/500)-0.0268000.802600 & Trim. Kurtosis (8/500)-1.4231000.000000 \tabularnewline Trim. Skewness (9/500)-0.0278000.802600 & Trim. Kurtosis (9/500)-1.4257000.000000 \tabularnewline Trim. Skewness (10/500)-0.0289000.794800 & Trim. Kurtosis (10/500)-1.4278000.000000 \tabularnewline Trim. Skewness (11/500)-0.0300000.787200 & Trim. Kurtosis (11/500)-1.4302000.000000 \tabularnewline Trim. Skewness (12/500)-0.0313000.779400 & Trim. Kurtosis (12/500)-1.4322000.000000 \tabularnewline Trim. Skewness (13/500)-0.0325000.764200 & Trim. Kurtosis (13/500)-1.4338000.000000 \tabularnewline Trim. Skewness (14/500)-0.0336000.764200 & Trim. Kurtosis (14/500)-1.4348000.000000 \tabularnewline Trim. Skewness (15/500)-0.0345000.756600 & Trim. Kurtosis (15/500)-1.4357000.000000 \tabularnewline Trim. Skewness (16/500)-0.0358000.749000 & Trim. Kurtosis (16/500)-1.4364000.000000 \tabularnewline Trim. Skewness (17/500)-0.0372000.741400 & Trim. Kurtosis (17/500)-1.4371000.000000 \tabularnewline Trim. Skewness (18/500)-0.0387000.726400 & Trim. Kurtosis (18/500)-1.4376000.000000 \tabularnewline Trim. Skewness (19/500)-0.0403000.718800 & Trim. Kurtosis (19/500)-1.4379000.000000 \tabularnewline Trim. Skewness (20/500)-0.0420000.711400 & Trim. Kurtosis (20/500)-1.4383000.000000 \tabularnewline Trim. Skewness (21/500)-0.0437000.696600 & Trim. Kurtosis (21/500)-1.4387000.000000 \tabularnewline Trim. Skewness (22/500)-0.0455000.689200 & Trim. Kurtosis (22/500)-1.4392000.000000 \tabularnewline Trim. Skewness (23/500)-0.0473000.674400 & Trim. Kurtosis (23/500)-1.4397000.000000 \tabularnewline Trim. Skewness (24/500)-0.0490000.667200 & Trim. Kurtosis (24/500)-1.4402000.000000 \tabularnewline Trim. Skewness (25/500)-0.0507000.652800 & Trim. Kurtosis (25/500)-1.4404000.000000 \tabularnewline Trim. Skewness (26/500)-0.0525000.645600 & Trim. Kurtosis (26/500)-1.4407000.000000 \tabularnewline Trim. Skewness (27/500)-0.0545000.631200 & Trim. Kurtosis (27/500)-1.4410000.000000 \tabularnewline Trim. Skewness (28/500)-0.0564000.624200 & Trim. Kurtosis (28/500)-1.4412000.000000 \tabularnewline Trim. Skewness (29/500)-0.0583000.610000 & Trim. Kurtosis (29/500)-1.4415000.000000 \tabularnewline Trim. Skewness (30/500)-0.0602000.603000 & Trim. Kurtosis (30/500)-1.4416000.000000 \tabularnewline Trim. Skewness (31/500)-0.0621000.589200 & Trim. Kurtosis (31/500)-1.4418000.000000 \tabularnewline Trim. Skewness (32/500)-0.0641000.582400 & Trim. Kurtosis (32/500)-1.4419000.000000 \tabularnewline Trim. Skewness (33/500)-0.0662000.568600 & Trim. Kurtosis (33/500)-1.4421000.000000 \tabularnewline Trim. Skewness (34/500)-0.0682000.555200 & Trim. Kurtosis (34/500)-1.4421000.000000 \tabularnewline Trim. Skewness (35/500)-0.0701000.548400 & Trim. Kurtosis (35/500)-1.4419000.000000 \tabularnewline Trim. Skewness (36/500)-0.0720000.535200 & Trim. Kurtosis (36/500)-1.4416000.000000 \tabularnewline Trim. Skewness (37/500)-0.0738000.528600 & Trim. Kurtosis (37/500)-1.4413000.000000 \tabularnewline Trim. Skewness (38/500)-0.0754000.522200 & Trim. Kurtosis (38/500)-1.4408000.000000 \tabularnewline Trim. Skewness (39/500)-0.0770000.515600 & Trim. Kurtosis (39/500)-1.4402000.000000 \tabularnewline Trim. Skewness (40/500)-0.0785000.509200 & Trim. Kurtosis (40/500)-1.4394000.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103045&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]-0.018400[/C]0.865000[/C][C]Trim. Kurtosis (0/500)[/C]-1.390700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.018900[/C]0.857200[/C][C]Trim. Kurtosis (1/500)[/C]-1.396900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.020100[/C]0.849200[/C][C]Trim. Kurtosis (2/500)[/C]-1.402000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.021700[/C]0.841400[/C][C]Trim. Kurtosis (3/500)[/C]-1.406600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.023300[/C]0.825800[/C][C]Trim. Kurtosis (4/500)[/C]-1.411200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.024200[/C]0.825800[/C][C]Trim. Kurtosis (5/500)[/C]-1.414500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.025000[/C]0.818000[/C][C]Trim. Kurtosis (6/500)[/C]-1.417500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.025900[/C]0.810400[/C][C]Trim. Kurtosis (7/500)[/C]-1.420500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.026800[/C]0.802600[/C][C]Trim. Kurtosis (8/500)[/C]-1.423100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.027800[/C]0.802600[/C][C]Trim. Kurtosis (9/500)[/C]-1.425700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.028900[/C]0.794800[/C][C]Trim. Kurtosis (10/500)[/C]-1.427800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.030000[/C]0.787200[/C][C]Trim. Kurtosis (11/500)[/C]-1.430200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.031300[/C]0.779400[/C][C]Trim. Kurtosis (12/500)[/C]-1.432200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.032500[/C]0.764200[/C][C]Trim. Kurtosis (13/500)[/C]-1.433800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.033600[/C]0.764200[/C][C]Trim. Kurtosis (14/500)[/C]-1.434800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.034500[/C]0.756600[/C][C]Trim. Kurtosis (15/500)[/C]-1.435700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.035800[/C]0.749000[/C][C]Trim. Kurtosis (16/500)[/C]-1.436400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.037200[/C]0.741400[/C][C]Trim. Kurtosis (17/500)[/C]-1.437100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.038700[/C]0.726400[/C][C]Trim. Kurtosis (18/500)[/C]-1.437600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.040300[/C]0.718800[/C][C]Trim. Kurtosis (19/500)[/C]-1.437900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.042000[/C]0.711400[/C][C]Trim. Kurtosis (20/500)[/C]-1.438300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.043700[/C]0.696600[/C][C]Trim. Kurtosis (21/500)[/C]-1.438700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.045500[/C]0.689200[/C][C]Trim. Kurtosis (22/500)[/C]-1.439200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.047300[/C]0.674400[/C][C]Trim. Kurtosis (23/500)[/C]-1.439700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.049000[/C]0.667200[/C][C]Trim. Kurtosis (24/500)[/C]-1.440200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.050700[/C]0.652800[/C][C]Trim. Kurtosis (25/500)[/C]-1.440400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.052500[/C]0.645600[/C][C]Trim. Kurtosis (26/500)[/C]-1.440700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.054500[/C]0.631200[/C][C]Trim. Kurtosis (27/500)[/C]-1.441000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.056400[/C]0.624200[/C][C]Trim. Kurtosis (28/500)[/C]-1.441200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.058300[/C]0.610000[/C][C]Trim. Kurtosis (29/500)[/C]-1.441500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.060200[/C]0.603000[/C][C]Trim. Kurtosis (30/500)[/C]-1.441600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.062100[/C]0.589200[/C][C]Trim. Kurtosis (31/500)[/C]-1.441800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.064100[/C]0.582400[/C][C]Trim. Kurtosis (32/500)[/C]-1.441900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.066200[/C]0.568600[/C][C]Trim. Kurtosis (33/500)[/C]-1.442100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.068200[/C]0.555200[/C][C]Trim. Kurtosis (34/500)[/C]-1.442100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.070100[/C]0.548400[/C][C]Trim. Kurtosis (35/500)[/C]-1.441900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.072000[/C]0.535200[/C][C]Trim. Kurtosis (36/500)[/C]-1.441600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.073800[/C]0.528600[/C][C]Trim. Kurtosis (37/500)[/C]-1.441300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.075400[/C]0.522200[/C][C]Trim. Kurtosis (38/500)[/C]-1.440800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.077000[/C]0.515600[/C][C]Trim. Kurtosis (39/500)[/C]-1.440200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.078500[/C]0.509200[/C][C]Trim. Kurtosis (40/500)[/C]-1.439400[/C]0.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103045&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103045&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)-0.0184000.865000Trim. Kurtosis (0/500)-1.3907000.000000
Trim. Skewness (1/500)-0.0189000.857200Trim. Kurtosis (1/500)-1.3969000.000000
Trim. Skewness (2/500)-0.0201000.849200Trim. Kurtosis (2/500)-1.4020000.000000
Trim. Skewness (3/500)-0.0217000.841400Trim. Kurtosis (3/500)-1.4066000.000000
Trim. Skewness (4/500)-0.0233000.825800Trim. Kurtosis (4/500)-1.4112000.000000
Trim. Skewness (5/500)-0.0242000.825800Trim. Kurtosis (5/500)-1.4145000.000000
Trim. Skewness (6/500)-0.0250000.818000Trim. Kurtosis (6/500)-1.4175000.000000
Trim. Skewness (7/500)-0.0259000.810400Trim. Kurtosis (7/500)-1.4205000.000000
Trim. Skewness (8/500)-0.0268000.802600Trim. Kurtosis (8/500)-1.4231000.000000
Trim. Skewness (9/500)-0.0278000.802600Trim. Kurtosis (9/500)-1.4257000.000000
Trim. Skewness (10/500)-0.0289000.794800Trim. Kurtosis (10/500)-1.4278000.000000
Trim. Skewness (11/500)-0.0300000.787200Trim. Kurtosis (11/500)-1.4302000.000000
Trim. Skewness (12/500)-0.0313000.779400Trim. Kurtosis (12/500)-1.4322000.000000
Trim. Skewness (13/500)-0.0325000.764200Trim. Kurtosis (13/500)-1.4338000.000000
Trim. Skewness (14/500)-0.0336000.764200Trim. Kurtosis (14/500)-1.4348000.000000
Trim. Skewness (15/500)-0.0345000.756600Trim. Kurtosis (15/500)-1.4357000.000000
Trim. Skewness (16/500)-0.0358000.749000Trim. Kurtosis (16/500)-1.4364000.000000
Trim. Skewness (17/500)-0.0372000.741400Trim. Kurtosis (17/500)-1.4371000.000000
Trim. Skewness (18/500)-0.0387000.726400Trim. Kurtosis (18/500)-1.4376000.000000
Trim. Skewness (19/500)-0.0403000.718800Trim. Kurtosis (19/500)-1.4379000.000000
Trim. Skewness (20/500)-0.0420000.711400Trim. Kurtosis (20/500)-1.4383000.000000
Trim. Skewness (21/500)-0.0437000.696600Trim. Kurtosis (21/500)-1.4387000.000000
Trim. Skewness (22/500)-0.0455000.689200Trim. Kurtosis (22/500)-1.4392000.000000
Trim. Skewness (23/500)-0.0473000.674400Trim. Kurtosis (23/500)-1.4397000.000000
Trim. Skewness (24/500)-0.0490000.667200Trim. Kurtosis (24/500)-1.4402000.000000
Trim. Skewness (25/500)-0.0507000.652800Trim. Kurtosis (25/500)-1.4404000.000000
Trim. Skewness (26/500)-0.0525000.645600Trim. Kurtosis (26/500)-1.4407000.000000
Trim. Skewness (27/500)-0.0545000.631200Trim. Kurtosis (27/500)-1.4410000.000000
Trim. Skewness (28/500)-0.0564000.624200Trim. Kurtosis (28/500)-1.4412000.000000
Trim. Skewness (29/500)-0.0583000.610000Trim. Kurtosis (29/500)-1.4415000.000000
Trim. Skewness (30/500)-0.0602000.603000Trim. Kurtosis (30/500)-1.4416000.000000
Trim. Skewness (31/500)-0.0621000.589200Trim. Kurtosis (31/500)-1.4418000.000000
Trim. Skewness (32/500)-0.0641000.582400Trim. Kurtosis (32/500)-1.4419000.000000
Trim. Skewness (33/500)-0.0662000.568600Trim. Kurtosis (33/500)-1.4421000.000000
Trim. Skewness (34/500)-0.0682000.555200Trim. Kurtosis (34/500)-1.4421000.000000
Trim. Skewness (35/500)-0.0701000.548400Trim. Kurtosis (35/500)-1.4419000.000000
Trim. Skewness (36/500)-0.0720000.535200Trim. Kurtosis (36/500)-1.4416000.000000
Trim. Skewness (37/500)-0.0738000.528600Trim. Kurtosis (37/500)-1.4413000.000000
Trim. Skewness (38/500)-0.0754000.522200Trim. Kurtosis (38/500)-1.4408000.000000
Trim. Skewness (39/500)-0.0770000.515600Trim. Kurtosis (39/500)-1.4402000.000000
Trim. Skewness (40/500)-0.0785000.509200Trim. Kurtosis (40/500)-1.4394000.000000


Figures (Output of Computation)

Input Parameters & R Code

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