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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 17:39:18 +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/t1291052294d9ssded8n6kn5ww.htm/, Retrieved Mon, 29 Apr 2024 16:21:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102978, Retrieved Mon, 29 Apr 2024 16:21:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact107

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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] [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] [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
Boxplots 
27005.63
27988.65
28709.41
27892.65
26210.37
26470.08
25708.56
26108.72
25055.71
25072.3
25630.96
25055.88
24714.74
24736.12
24641.93
24781.83
25970
25798.26
26705.62
26162.99
25934.37
25270.81
25659.9
26141.06
25774.21
26735.21
27040.47
25966.12
25398.42
25023.08
25199.53
24911.52
23907.55
23844.72
24439.91
23579.48
23991.03
24032.46
24152.34
24168.57
24026.59
23699.93
23751.96
23940.66
23035.95
23220.02
23054.97
23315.43
23282.57
23539.49
23615.25
23620.31
23452.76
23497.17
23968.83
24038.89
24919.26
25001.59
25536.39
25409.83
25697.25
25143.61
25764.83
25943.57
26771.17
26631.06
26650.66
26377.63
27653.58
28546.46
28838.28
28446.99
28160.81
28324.29
29523.15
29445.96
28548.43
28678.57
28956.83
29675.55
29552.26
29189.01
30746.39
31651.81
32170.71
33014.23
33716.92
32842.61
32805.72
32203.06
33043.28
32828.9
33094.92
33484.52
33666.08
35139.7
34720.55
35014.5
35407.68
34860.56
35168.73
35021.01
35002.99
36001.65
35722.2
34932.23
34268.89
34750.19
33655.59
33806.65
34389.34
34723.84
34816.71
34690.77
34537.04
34595.39
35715.56
35819.93
35407.21
34909.06

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.3.89146e+10FISHER 4th Cent. Mom.5.59168e+14
FISHER beta 10.255554FISHER beta 21.707575
FISHER gamma 10.505523FISHER gamma 2-1.292425
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.260769FISHER Test 2-2.889951
FISHER Test 1 Probability0.023200FISHER Test 2 Probability0.003800
Pearson 21.223201
Yule using Quartile definition:Weighted Average at Xnp0.565439
Yule using Quartile definition:Weighted Average at X(n+1)p0.570588
Yule using Quartile definition:Empirical Distribution Function0.565439
Yule using Quartile definition:Empirical Distribution Function - Averaging0.574208
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.577853
Yule using Quartile definition:Closest Observation0.565439
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.577853
Yule using Quartile definition:MS Excel (old versions)0.566993
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.511945Kurtosis (small sample)-1.296221
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)2.317767TEST 1 (small sample)-2.957178
TEST 1 Prob. (small sample)0.020400TEST 1 Prob. (small sample)0.003000
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.3.89146e+10 & FISHER 4th Cent. Mom.5.59168e+14 \tabularnewline FISHER beta 10.255554 & FISHER beta 21.707575 \tabularnewline FISHER gamma 10.505523 & FISHER gamma 2-1.292425 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 12.260769 & FISHER Test 2-2.889951 \tabularnewline FISHER Test 1 Probability0.023200 & FISHER Test 2 Probability0.003800 \tabularnewline Pearson 21.223201 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.565439 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.570588 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.565439 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.574208 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.577853 & & \tabularnewline Yule using Quartile definition:Closest Observation0.565439 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.577853 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.566993 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.511945 & Kurtosis (small sample)-1.296221 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)2.317767 & TEST 1 (small sample)-2.957178 \tabularnewline TEST 1 Prob. (small sample)0.020400 & TEST 1 Prob. (small sample)0.003000 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102978&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]3.89146e+10[/C][C]FISHER 4th Cent. Mom.[/C]5.59168e+14[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.255554[/C][C]FISHER beta 2[/C]1.707575[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.505523[/C][C]FISHER gamma 2[/C]-1.292425[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.223607[/C][C]FISHER gamma 2 (S.E.)[/C]0.447214[/C][/ROW] [ROW][C]FISHER Test 1[/C]2.260769[/C][C]FISHER Test 2[/C]-2.889951[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.023200[/C][C]FISHER Test 2 Probability[/C]0.003800[/C][/ROW] [ROW][C]Pearson 2[/C]1.223201[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.565439[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.570588[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.565439[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.574208[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.577853[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.565439[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.577853[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.566993[/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]0.511945[/C][C]Kurtosis (small sample)[/C]-1.296221[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.220879[/C][C]Kurtosis S.E. (small sample)[/C]0.438331[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]2.317767[/C][C]TEST 1 (small sample)[/C]-2.957178[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.020400[/C][C]TEST 1 Prob. (small sample)[/C]0.003000[/C][/ROW] [ROW][C]Observations[/C]120[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102978&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102978&T=0

As an alternative you can also use a QR Code:  
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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.3.89146e+10FISHER 4th Cent. Mom.5.59168e+14
FISHER beta 10.255554FISHER beta 21.707575
FISHER gamma 10.505523FISHER gamma 2-1.292425
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.260769FISHER Test 2-2.889951
FISHER Test 1 Probability0.023200FISHER Test 2 Probability0.003800
Pearson 21.223201
Yule using Quartile definition:Weighted Average at Xnp0.565439
Yule using Quartile definition:Weighted Average at X(n+1)p0.570588
Yule using Quartile definition:Empirical Distribution Function0.565439
Yule using Quartile definition:Empirical Distribution Function - Averaging0.574208
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.577853
Yule using Quartile definition:Closest Observation0.565439
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.577853
Yule using Quartile definition:MS Excel (old versions)0.566993
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.511945Kurtosis (small sample)-1.296221
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)2.317767TEST 1 (small sample)-2.957178
TEST 1 Prob. (small sample)0.020400TEST 1 Prob. (small sample)0.003000
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.5119000.020400Trim. Kurtosis (0/120)-1.2962000.003000
Trim. Skewness (1/120)0.5208000.019200Trim. Kurtosis (1/120)-1.2856000.003600
Trim. Skewness (2/120)0.5312000.017800Trim. Kurtosis (2/120)-1.2725000.004200
Trim. Skewness (3/120)0.5412000.016800Trim. Kurtosis (3/120)-1.2579000.005200
Trim. Skewness (4/120)0.5509000.015600Trim. Kurtosis (4/120)-1.2438000.006000
Trim. Skewness (5/120)0.5632000.014200Trim. Kurtosis (5/120)-1.2244000.007400
Trim. Skewness (6/120)0.5746000.013200Trim. Kurtosis (6/120)-1.2046000.008800
Trim. Skewness (7/120)0.5880000.012000Trim. Kurtosis (7/120)-1.1803000.011000
Trim. Skewness (8/120)0.6017000.010800Trim. Kurtosis (8/120)-1.1549000.013800
Trim. Skewness (9/120)0.6167000.009800Trim. Kurtosis (9/120)-1.1264000.017400
Trim. Skewness (10/120)0.6320000.008800Trim. Kurtosis (10/120)-1.0967000.021400
Trim. Skewness (11/120)0.6479000.007800Trim. Kurtosis (11/120)-1.0660000.027200
Trim. Skewness (12/120)0.6644000.007000Trim. Kurtosis (12/120)-1.0326000.034000
Trim. Skewness (13/120)0.6812000.006200Trim. Kurtosis (13/120)-0.9977000.042400
Trim. Skewness (14/120)0.6980000.005400Trim. Kurtosis (14/120)-0.9606000.052400
Trim. Skewness (15/120)0.7150000.004800Trim. Kurtosis (15/120)-0.9215000.065800
Trim. Skewness (16/120)0.7328000.004200Trim. Kurtosis (16/120)-0.8797000.081800
Trim. Skewness (17/120)0.7509000.003800Trim. Kurtosis (17/120)-0.8366000.103200
Trim. Skewness (18/120)0.7688000.003400Trim. Kurtosis (18/120)-0.7942000.126000
Trim. Skewness (19/120)0.7863000.003000Trim. Kurtosis (19/120)-0.7526000.149800
Trim. Skewness (20/120)0.8051000.002600Trim. Kurtosis (20/120)-0.7093000.180200
Trim. Skewness (21/120)0.8243000.002400Trim. Kurtosis (21/120)-0.6678000.211200
Trim. Skewness (22/120)0.8435000.002200Trim. Kurtosis (22/120)-0.6232000.250200
Trim. Skewness (23/120)0.8641000.002000Trim. Kurtosis (23/120)-0.5779000.293800
Trim. Skewness (24/120)0.8896000.001600Trim. Kurtosis (24/120)-0.5028000.368200
Trim. Skewness (25/120)0.9128000.001400Trim. Kurtosis (25/120)-0.4226000.453200
Trim. Skewness (26/120)0.9342000.001200Trim. Kurtosis (26/120)-0.3406000.548400
Trim. Skewness (27/120)0.9520000.001200Trim. Kurtosis (27/120)-0.2653000.645600
Trim. Skewness (28/120)0.9700000.001200Trim. Kurtosis (28/120)-0.1823000.756600
Trim. Skewness (29/120)0.9953000.001000Trim. Kurtosis (29/120)-0.0603000.912400
Trim. Skewness (30/120)1.0181000.001000Trim. Kurtosis (30/120)0.0664000.912400
Trim. Skewness (31/120)1.0313000.001000Trim. Kurtosis (31/120)0.1809000.764200
Trim. Skewness (32/120)1.0401000.001000Trim. Kurtosis (32/120)0.3004000.631200
Trim. Skewness (33/120)1.0247000.001600Trim. Kurtosis (33/120)0.3539000.575400
Trim. Skewness (34/120)0.9622000.003600Trim. Kurtosis (34/120)0.2314000.718800
Trim. Skewness (35/120)0.9123000.006600Trim. Kurtosis (35/120)0.1716000.794800
Trim. Skewness (36/120)0.7703000.024400Trim. Kurtosis (36/120)-0.2675000.689200
Trim. Skewness (37/120)0.5907000.091000Trim. Kurtosis (37/120)-0.9007000.190200
Trim. Skewness (38/120)0.4867000.170600Trim. Kurtosis (38/120)-1.2646000.070200
Trim. Skewness (39/120)0.4945000.173800Trim. Kurtosis (39/120)-1.2603000.078400
Trim. Skewness (40/120)0.5076000.173800Trim. Kurtosis (40/120)-1.2536000.085400

\begin{tabular}{lllllllll}
\hline

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data \tabularnewline

Skewness Measure (small sample)
ValueProbabilityKurtosis Measure (small sample)ValueProbability \tabularnewline Trim. Skewness (0/120)0.5119000.020400 & Trim. Kurtosis (0/120)-1.2962000.003000 \tabularnewline Trim. Skewness (1/120)0.5208000.019200 & Trim. Kurtosis (1/120)-1.2856000.003600 \tabularnewline Trim. Skewness (2/120)0.5312000.017800 & Trim. Kurtosis (2/120)-1.2725000.004200 \tabularnewline Trim. Skewness (3/120)0.5412000.016800 & Trim. Kurtosis (3/120)-1.2579000.005200 \tabularnewline Trim. Skewness (4/120)0.5509000.015600 & Trim. Kurtosis (4/120)-1.2438000.006000 \tabularnewline Trim. Skewness (5/120)0.5632000.014200 & Trim. Kurtosis (5/120)-1.2244000.007400 \tabularnewline Trim. Skewness (6/120)0.5746000.013200 & Trim. Kurtosis (6/120)-1.2046000.008800 \tabularnewline Trim. Skewness (7/120)0.5880000.012000 & Trim. Kurtosis (7/120)-1.1803000.011000 \tabularnewline Trim. Skewness (8/120)0.6017000.010800 & Trim. Kurtosis (8/120)-1.1549000.013800 \tabularnewline Trim. Skewness (9/120)0.6167000.009800 & Trim. Kurtosis (9/120)-1.1264000.017400 \tabularnewline Trim. Skewness (10/120)0.6320000.008800 & Trim. Kurtosis (10/120)-1.0967000.021400 \tabularnewline Trim. Skewness (11/120)0.6479000.007800 & Trim. Kurtosis (11/120)-1.0660000.027200 \tabularnewline Trim. Skewness (12/120)0.6644000.007000 & Trim. Kurtosis (12/120)-1.0326000.034000 \tabularnewline Trim. Skewness (13/120)0.6812000.006200 & Trim. Kurtosis (13/120)-0.9977000.042400 \tabularnewline Trim. Skewness (14/120)0.6980000.005400 & Trim. Kurtosis (14/120)-0.9606000.052400 \tabularnewline Trim. Skewness (15/120)0.7150000.004800 & Trim. Kurtosis (15/120)-0.9215000.065800 \tabularnewline Trim. Skewness (16/120)0.7328000.004200 & Trim. Kurtosis (16/120)-0.8797000.081800 \tabularnewline Trim. Skewness (17/120)0.7509000.003800 & Trim. Kurtosis (17/120)-0.8366000.103200 \tabularnewline Trim. Skewness (18/120)0.7688000.003400 & Trim. Kurtosis (18/120)-0.7942000.126000 \tabularnewline Trim. Skewness (19/120)0.7863000.003000 & Trim. Kurtosis (19/120)-0.7526000.149800 \tabularnewline Trim. Skewness (20/120)0.8051000.002600 & Trim. Kurtosis (20/120)-0.7093000.180200 \tabularnewline Trim. Skewness (21/120)0.8243000.002400 & Trim. Kurtosis (21/120)-0.6678000.211200 \tabularnewline Trim. Skewness (22/120)0.8435000.002200 & Trim. Kurtosis (22/120)-0.6232000.250200 \tabularnewline Trim. Skewness (23/120)0.8641000.002000 & Trim. Kurtosis (23/120)-0.5779000.293800 \tabularnewline Trim. Skewness (24/120)0.8896000.001600 & Trim. Kurtosis (24/120)-0.5028000.368200 \tabularnewline Trim. Skewness (25/120)0.9128000.001400 & Trim. Kurtosis (25/120)-0.4226000.453200 \tabularnewline Trim. Skewness (26/120)0.9342000.001200 & Trim. Kurtosis (26/120)-0.3406000.548400 \tabularnewline Trim. Skewness (27/120)0.9520000.001200 & Trim. Kurtosis (27/120)-0.2653000.645600 \tabularnewline Trim. Skewness (28/120)0.9700000.001200 & Trim. Kurtosis (28/120)-0.1823000.756600 \tabularnewline Trim. Skewness (29/120)0.9953000.001000 & Trim. Kurtosis (29/120)-0.0603000.912400 \tabularnewline Trim. Skewness (30/120)1.0181000.001000 & Trim. Kurtosis (30/120)0.0664000.912400 \tabularnewline Trim. Skewness (31/120)1.0313000.001000 & Trim. Kurtosis (31/120)0.1809000.764200 \tabularnewline Trim. Skewness (32/120)1.0401000.001000 & Trim. Kurtosis (32/120)0.3004000.631200 \tabularnewline Trim. Skewness (33/120)1.0247000.001600 & Trim. Kurtosis (33/120)0.3539000.575400 \tabularnewline Trim. Skewness (34/120)0.9622000.003600 & Trim. Kurtosis (34/120)0.2314000.718800 \tabularnewline Trim. Skewness (35/120)0.9123000.006600 & Trim. Kurtosis (35/120)0.1716000.794800 \tabularnewline Trim. Skewness (36/120)0.7703000.024400 & Trim. Kurtosis (36/120)-0.2675000.689200 \tabularnewline Trim. Skewness (37/120)0.5907000.091000 & Trim. Kurtosis (37/120)-0.9007000.190200 \tabularnewline Trim. Skewness (38/120)0.4867000.170600 & Trim. Kurtosis (38/120)-1.2646000.070200 \tabularnewline Trim. Skewness (39/120)0.4945000.173800 & Trim. Kurtosis (39/120)-1.2603000.078400 \tabularnewline Trim. Skewness (40/120)0.5076000.173800 & Trim. Kurtosis (40/120)-1.2536000.085400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102978&T=1

[TABLE]

[ROW][C]Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure (small sample)[/C]
Value[/C]Probability[/C]Kurtosis Measure (small sample)[/C]Value[/C]Probability[/C][/ROW] [ROW][C]Trim. Skewness (0/120)[/C]0.511900[/C]0.020400[/C][C]Trim. Kurtosis (0/120)[/C]-1.296200[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.520800[/C]0.019200[/C][C]Trim. Kurtosis (1/120)[/C]-1.285600[/C]0.003600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.531200[/C]0.017800[/C][C]Trim. Kurtosis (2/120)[/C]-1.272500[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.541200[/C]0.016800[/C][C]Trim. Kurtosis (3/120)[/C]-1.257900[/C]0.005200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.550900[/C]0.015600[/C][C]Trim. Kurtosis (4/120)[/C]-1.243800[/C]0.006000[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.563200[/C]0.014200[/C][C]Trim. Kurtosis (5/120)[/C]-1.224400[/C]0.007400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.574600[/C]0.013200[/C][C]Trim. Kurtosis (6/120)[/C]-1.204600[/C]0.008800[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.588000[/C]0.012000[/C][C]Trim. Kurtosis (7/120)[/C]-1.180300[/C]0.011000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.601700[/C]0.010800[/C][C]Trim. Kurtosis (8/120)[/C]-1.154900[/C]0.013800[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.616700[/C]0.009800[/C][C]Trim. Kurtosis (9/120)[/C]-1.126400[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.632000[/C]0.008800[/C][C]Trim. Kurtosis (10/120)[/C]-1.096700[/C]0.021400[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.647900[/C]0.007800[/C][C]Trim. Kurtosis (11/120)[/C]-1.066000[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.664400[/C]0.007000[/C][C]Trim. Kurtosis (12/120)[/C]-1.032600[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.681200[/C]0.006200[/C][C]Trim. Kurtosis (13/120)[/C]-0.997700[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.698000[/C]0.005400[/C][C]Trim. Kurtosis (14/120)[/C]-0.960600[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.715000[/C]0.004800[/C][C]Trim. Kurtosis (15/120)[/C]-0.921500[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.732800[/C]0.004200[/C][C]Trim. Kurtosis (16/120)[/C]-0.879700[/C]0.081800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.750900[/C]0.003800[/C][C]Trim. Kurtosis (17/120)[/C]-0.836600[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.768800[/C]0.003400[/C][C]Trim. Kurtosis (18/120)[/C]-0.794200[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.786300[/C]0.003000[/C][C]Trim. Kurtosis (19/120)[/C]-0.752600[/C]0.149800[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.805100[/C]0.002600[/C][C]Trim. Kurtosis (20/120)[/C]-0.709300[/C]0.180200[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.824300[/C]0.002400[/C][C]Trim. Kurtosis (21/120)[/C]-0.667800[/C]0.211200[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.843500[/C]0.002200[/C][C]Trim. Kurtosis (22/120)[/C]-0.623200[/C]0.250200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.864100[/C]0.002000[/C][C]Trim. Kurtosis (23/120)[/C]-0.577900[/C]0.293800[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.889600[/C]0.001600[/C][C]Trim. Kurtosis (24/120)[/C]-0.502800[/C]0.368200[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.912800[/C]0.001400[/C][C]Trim. Kurtosis (25/120)[/C]-0.422600[/C]0.453200[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.934200[/C]0.001200[/C][C]Trim. Kurtosis (26/120)[/C]-0.340600[/C]0.548400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.952000[/C]0.001200[/C][C]Trim. Kurtosis (27/120)[/C]-0.265300[/C]0.645600[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.970000[/C]0.001200[/C][C]Trim. Kurtosis (28/120)[/C]-0.182300[/C]0.756600[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.995300[/C]0.001000[/C][C]Trim. Kurtosis (29/120)[/C]-0.060300[/C]0.912400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]1.018100[/C]0.001000[/C][C]Trim. Kurtosis (30/120)[/C]0.066400[/C]0.912400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]1.031300[/C]0.001000[/C][C]Trim. Kurtosis (31/120)[/C]0.180900[/C]0.764200[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]1.040100[/C]0.001000[/C][C]Trim. Kurtosis (32/120)[/C]0.300400[/C]0.631200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]1.024700[/C]0.001600[/C][C]Trim. Kurtosis (33/120)[/C]0.353900[/C]0.575400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.962200[/C]0.003600[/C][C]Trim. Kurtosis (34/120)[/C]0.231400[/C]0.718800[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.912300[/C]0.006600[/C][C]Trim. Kurtosis (35/120)[/C]0.171600[/C]0.794800[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.770300[/C]0.024400[/C][C]Trim. Kurtosis (36/120)[/C]-0.267500[/C]0.689200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.590700[/C]0.091000[/C][C]Trim. Kurtosis (37/120)[/C]-0.900700[/C]0.190200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.486700[/C]0.170600[/C][C]Trim. Kurtosis (38/120)[/C]-1.264600[/C]0.070200[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.494500[/C]0.173800[/C][C]Trim. Kurtosis (39/120)[/C]-1.260300[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.507600[/C]0.173800[/C][C]Trim. Kurtosis (40/120)[/C]-1.253600[/C]0.085400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102978&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102978&T=1

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

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.5119000.020400Trim. Kurtosis (0/120)-1.2962000.003000
Trim. Skewness (1/120)0.5208000.019200Trim. Kurtosis (1/120)-1.2856000.003600
Trim. Skewness (2/120)0.5312000.017800Trim. Kurtosis (2/120)-1.2725000.004200
Trim. Skewness (3/120)0.5412000.016800Trim. Kurtosis (3/120)-1.2579000.005200
Trim. Skewness (4/120)0.5509000.015600Trim. Kurtosis (4/120)-1.2438000.006000
Trim. Skewness (5/120)0.5632000.014200Trim. Kurtosis (5/120)-1.2244000.007400
Trim. Skewness (6/120)0.5746000.013200Trim. Kurtosis (6/120)-1.2046000.008800
Trim. Skewness (7/120)0.5880000.012000Trim. Kurtosis (7/120)-1.1803000.011000
Trim. Skewness (8/120)0.6017000.010800Trim. Kurtosis (8/120)-1.1549000.013800
Trim. Skewness (9/120)0.6167000.009800Trim. Kurtosis (9/120)-1.1264000.017400
Trim. Skewness (10/120)0.6320000.008800Trim. Kurtosis (10/120)-1.0967000.021400
Trim. Skewness (11/120)0.6479000.007800Trim. Kurtosis (11/120)-1.0660000.027200
Trim. Skewness (12/120)0.6644000.007000Trim. Kurtosis (12/120)-1.0326000.034000
Trim. Skewness (13/120)0.6812000.006200Trim. Kurtosis (13/120)-0.9977000.042400
Trim. Skewness (14/120)0.6980000.005400Trim. Kurtosis (14/120)-0.9606000.052400
Trim. Skewness (15/120)0.7150000.004800Trim. Kurtosis (15/120)-0.9215000.065800
Trim. Skewness (16/120)0.7328000.004200Trim. Kurtosis (16/120)-0.8797000.081800
Trim. Skewness (17/120)0.7509000.003800Trim. Kurtosis (17/120)-0.8366000.103200
Trim. Skewness (18/120)0.7688000.003400Trim. Kurtosis (18/120)-0.7942000.126000
Trim. Skewness (19/120)0.7863000.003000Trim. Kurtosis (19/120)-0.7526000.149800
Trim. Skewness (20/120)0.8051000.002600Trim. Kurtosis (20/120)-0.7093000.180200
Trim. Skewness (21/120)0.8243000.002400Trim. Kurtosis (21/120)-0.6678000.211200
Trim. Skewness (22/120)0.8435000.002200Trim. Kurtosis (22/120)-0.6232000.250200
Trim. Skewness (23/120)0.8641000.002000Trim. Kurtosis (23/120)-0.5779000.293800
Trim. Skewness (24/120)0.8896000.001600Trim. Kurtosis (24/120)-0.5028000.368200
Trim. Skewness (25/120)0.9128000.001400Trim. Kurtosis (25/120)-0.4226000.453200
Trim. Skewness (26/120)0.9342000.001200Trim. Kurtosis (26/120)-0.3406000.548400
Trim. Skewness (27/120)0.9520000.001200Trim. Kurtosis (27/120)-0.2653000.645600
Trim. Skewness (28/120)0.9700000.001200Trim. Kurtosis (28/120)-0.1823000.756600
Trim. Skewness (29/120)0.9953000.001000Trim. Kurtosis (29/120)-0.0603000.912400
Trim. Skewness (30/120)1.0181000.001000Trim. Kurtosis (30/120)0.0664000.912400
Trim. Skewness (31/120)1.0313000.001000Trim. Kurtosis (31/120)0.1809000.764200
Trim. Skewness (32/120)1.0401000.001000Trim. Kurtosis (32/120)0.3004000.631200
Trim. Skewness (33/120)1.0247000.001600Trim. Kurtosis (33/120)0.3539000.575400
Trim. Skewness (34/120)0.9622000.003600Trim. Kurtosis (34/120)0.2314000.718800
Trim. Skewness (35/120)0.9123000.006600Trim. Kurtosis (35/120)0.1716000.794800
Trim. Skewness (36/120)0.7703000.024400Trim. Kurtosis (36/120)-0.2675000.689200
Trim. Skewness (37/120)0.5907000.091000Trim. Kurtosis (37/120)-0.9007000.190200
Trim. Skewness (38/120)0.4867000.170600Trim. Kurtosis (38/120)-1.2646000.070200
Trim. Skewness (39/120)0.4945000.173800Trim. Kurtosis (39/120)-1.2603000.078400
Trim. Skewness (40/120)0.5076000.173800Trim. Kurtosis (40/120)-1.2536000.085400


Figures (Output of Computation)

Input Parameters & R Code

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