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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 17:44:08 +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/t1291052538m5qffjfcuu9vdg6.htm/, Retrieved Mon, 29 Apr 2024 08:46:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102983, Retrieved Mon, 29 Apr 2024 08:46:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact122

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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 
1006.7
1023.48
1031.67
1016.14
1005.7
996.34
978.06
961.57
922.05
914.68
915.25
900.44
876.47
870.59
863.5
864.46
885.76
884.32
923.74
900.9
898.03
874.63
888.15
901.76
895.75
905.67
908.69
889.06
885.17
868.88
875.42
854.7
829.04
831.14
832.29
803.7
796.76
788.68
791.61
823.1
803.92
766.39
759.75
774.27
739.72
730.14
716.35
752.29
758.26
772.63
783.09
803.86
804.46
805.96
809.7
810.17
835.72
840.12
847.83
848.17
832.41
798.13
820.67
835.67
875.81
874.02
874.01
876.18
882.3
915.27
930.34
915.25
928.37
945.34
912.15
902.43
923.6
910.14
921.92
908.83
896.9
921.33
935.85
939.06
946.37
956.75
956.57
974.96
965.89
960.83
932.74
931.3
929.97
948.56
967.24
971.72
955.26
964.12
968.1
973.67
984.46
976.98
975.73
996.48
999.15
979.53
978.85
985.77
973.1
983.41
996.79
1004.3
1005.63
986.1
984.55
963.53
974.18
995.04
971.25
971.38

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-184506.587118FISHER 4th Cent. Mom.7.30377e+7
FISHER beta 10.188381FISHER beta 22.285015
FISHER gamma 1-0.434029FISHER gamma 2-0.714985
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.941035FISHER Test 2-1.598756
FISHER Test 1 Probability0.051200FISHER Test 2 Probability0.109600
Pearson 2-0.339413
Yule using Quartile definition:Weighted Average at Xnp-0.091331
Yule using Quartile definition:Weighted Average at X(n+1)p-0.071819
Yule using Quartile definition:Empirical Distribution Function-0.091331
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.059218
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.046173
Yule using Quartile definition:Closest Observation-0.091331
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.046173
Yule using Quartile definition:MS Excel (old versions)-0.083997
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.439542Kurtosis (small sample)-0.693979
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.989972TEST 1 (small sample)-1.583232
TEST 1 Prob. (small sample)0.046600TEST 1 Prob. (small sample)0.111800
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-184506.587118 & FISHER 4th Cent. Mom.7.30377e+7 \tabularnewline FISHER beta 10.188381 & FISHER beta 22.285015 \tabularnewline FISHER gamma 1-0.434029 & FISHER gamma 2-0.714985 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-1.941035 & FISHER Test 2-1.598756 \tabularnewline FISHER Test 1 Probability0.051200 & FISHER Test 2 Probability0.109600 \tabularnewline Pearson 2-0.339413 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.091331 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.071819 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.091331 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.059218 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.046173 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.091331 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.046173 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.083997 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.439542 & Kurtosis (small sample)-0.693979 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-1.989972 & TEST 1 (small sample)-1.583232 \tabularnewline TEST 1 Prob. (small sample)0.046600 & TEST 1 Prob. (small sample)0.111800 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102983&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]-184506.587118[/C][C]FISHER 4th Cent. Mom.[/C]7.30377e+7[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.188381[/C][C]FISHER beta 2[/C]2.285015[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.434029[/C][C]FISHER gamma 2[/C]-0.714985[/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]-1.941035[/C][C]FISHER Test 2[/C]-1.598756[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.051200[/C][C]FISHER Test 2 Probability[/C]0.109600[/C][/ROW] [ROW][C]Pearson 2[/C]-0.339413[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.091331[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.071819[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.091331[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.059218[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.046173[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.091331[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.046173[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.083997[/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]-0.439542[/C][C]Kurtosis (small sample)[/C]-0.693979[/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]-1.989972[/C][C]TEST 1 (small sample)[/C]-1.583232[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.046600[/C][C]TEST 1 Prob. (small sample)[/C]0.111800[/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=102983&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102983&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-184506.587118FISHER 4th Cent. Mom.7.30377e+7
FISHER beta 10.188381FISHER beta 22.285015
FISHER gamma 1-0.434029FISHER gamma 2-0.714985
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.941035FISHER Test 2-1.598756
FISHER Test 1 Probability0.051200FISHER Test 2 Probability0.109600
Pearson 2-0.339413
Yule using Quartile definition:Weighted Average at Xnp-0.091331
Yule using Quartile definition:Weighted Average at X(n+1)p-0.071819
Yule using Quartile definition:Empirical Distribution Function-0.091331
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.059218
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.046173
Yule using Quartile definition:Closest Observation-0.091331
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.046173
Yule using Quartile definition:MS Excel (old versions)-0.083997
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.439542Kurtosis (small sample)-0.693979
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.989972TEST 1 (small sample)-1.583232
TEST 1 Prob. (small sample)0.046600TEST 1 Prob. (small sample)0.111800
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.4395000.046600Trim. Kurtosis (0/120)-0.6940000.111800
Trim. Skewness (1/120)-0.4196000.058800Trim. Kurtosis (1/120)-0.7793000.076800
Trim. Skewness (2/120)-0.4040000.071800Trim. Kurtosis (2/120)-0.8376000.060200
Trim. Skewness (3/120)-0.3887000.085400Trim. Kurtosis (3/120)-0.8828000.048800
Trim. Skewness (4/120)-0.3765000.099000Trim. Kurtosis (4/120)-0.9008000.046600
Trim. Skewness (5/120)-0.3664000.111800Trim. Kurtosis (5/120)-0.9148000.044400
Trim. Skewness (6/120)-0.3539000.126000Trim. Kurtosis (6/120)-0.9400000.041400
Trim. Skewness (7/120)-0.3447000.141600Trim. Kurtosis (7/120)-0.9595000.038400
Trim. Skewness (8/120)-0.3351000.155600Trim. Kurtosis (8/120)-0.9705000.038400
Trim. Skewness (9/120)-0.3215000.177000Trim. Kurtosis (9/120)-0.9895000.036600
Trim. Skewness (10/120)-0.3156000.190200Trim. Kurtosis (10/120)-0.9932000.037600
Trim. Skewness (11/120)-0.3144000.197000Trim. Kurtosis (11/120)-0.9909000.039400
Trim. Skewness (12/120)-0.3138000.200600Trim. Kurtosis (12/120)-0.9887000.042400
Trim. Skewness (13/120)-0.3086000.211200Trim. Kurtosis (13/120)-0.9742000.047800
Trim. Skewness (14/120)-0.3021000.226200Trim. Kurtosis (14/120)-0.9621000.052400
Trim. Skewness (15/120)-0.2995000.238000Trim. Kurtosis (15/120)-0.9397000.061400
Trim. Skewness (16/120)-0.2945000.250200Trim. Kurtosis (16/120)-0.9222000.068800
Trim. Skewness (17/120)-0.2849000.271400Trim. Kurtosis (17/120)-0.9123000.075000
Trim. Skewness (18/120)-0.2662000.307800Trim. Kurtosis (18/120)-0.9106000.078400
Trim. Skewness (19/120)-0.2425000.357600Trim. Kurtosis (19/120)-0.9181000.080200
Trim. Skewness (20/120)-0.2180000.412200Trim. Kurtosis (20/120)-0.9252000.081800
Trim. Skewness (21/120)-0.1829000.496400Trim. Kurtosis (21/120)-0.9534000.075000
Trim. Skewness (22/120)-0.1636000.548400Trim. Kurtosis (22/120)-0.9432000.081800
Trim. Skewness (23/120)-0.1422000.610000Trim. Kurtosis (23/120)-0.9344000.089200
Trim. Skewness (24/120)-0.1281000.645600Trim. Kurtosis (24/120)-0.9086000.103200
Trim. Skewness (25/120)-0.1130000.689200Trim. Kurtosis (25/120)-0.8819000.118800
Trim. Skewness (26/120)-0.0937000.741400Trim. Kurtosis (26/120)-0.8604000.133600
Trim. Skewness (27/120)-0.0624000.825800Trim. Kurtosis (27/120)-0.8548000.141600
Trim. Skewness (28/120)-0.0309000.912400Trim. Kurtosis (28/120)-0.8514000.147000
Trim. Skewness (29/120)0.0159000.952200Trim. Kurtosis (29/120)-0.8875000.136200
Trim. Skewness (30/120)0.0696000.818000Trim. Kurtosis (30/120)-0.9211000.128600
Trim. Skewness (31/120)0.1034000.741400Trim. Kurtosis (31/120)-0.9229000.133600
Trim. Skewness (32/120)0.1559000.624200Trim. Kurtosis (32/120)-0.9605000.126000
Trim. Skewness (33/120)0.1934000.548400Trim. Kurtosis (33/120)-0.9735000.126000
Trim. Skewness (34/120)0.1929000.555200Trim. Kurtosis (34/120)-0.9567000.138800
Trim. Skewness (35/120)0.1944000.562000Trim. Kurtosis (35/120)-0.9462000.152800
Trim. Skewness (36/120)0.1696000.617000Trim. Kurtosis (36/120)-0.9444000.158600
Trim. Skewness (37/120)0.1503000.667200Trim. Kurtosis (37/120)-0.9185000.180200
Trim. Skewness (38/120)0.0953000.787200Trim. Kurtosis (38/120)-0.9211000.186800
Trim. Skewness (39/120)0.0165000.960200Trim. Kurtosis (39/120)-0.9736000.173800
Trim. Skewness (40/120)-0.0291000.936200Trim. Kurtosis (40/120)-0.9559000.190200

\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)-0.4395000.046600 & Trim. Kurtosis (0/120)-0.6940000.111800 \tabularnewline Trim. Skewness (1/120)-0.4196000.058800 & Trim. Kurtosis (1/120)-0.7793000.076800 \tabularnewline Trim. Skewness (2/120)-0.4040000.071800 & Trim. Kurtosis (2/120)-0.8376000.060200 \tabularnewline Trim. Skewness (3/120)-0.3887000.085400 & Trim. Kurtosis (3/120)-0.8828000.048800 \tabularnewline Trim. Skewness (4/120)-0.3765000.099000 & Trim. Kurtosis (4/120)-0.9008000.046600 \tabularnewline Trim. Skewness (5/120)-0.3664000.111800 & Trim. Kurtosis (5/120)-0.9148000.044400 \tabularnewline Trim. Skewness (6/120)-0.3539000.126000 & Trim. Kurtosis (6/120)-0.9400000.041400 \tabularnewline Trim. Skewness (7/120)-0.3447000.141600 & Trim. Kurtosis (7/120)-0.9595000.038400 \tabularnewline Trim. Skewness (8/120)-0.3351000.155600 & Trim. Kurtosis (8/120)-0.9705000.038400 \tabularnewline Trim. Skewness (9/120)-0.3215000.177000 & Trim. Kurtosis (9/120)-0.9895000.036600 \tabularnewline Trim. Skewness (10/120)-0.3156000.190200 & Trim. Kurtosis (10/120)-0.9932000.037600 \tabularnewline Trim. Skewness (11/120)-0.3144000.197000 & Trim. Kurtosis (11/120)-0.9909000.039400 \tabularnewline Trim. Skewness (12/120)-0.3138000.200600 & Trim. Kurtosis (12/120)-0.9887000.042400 \tabularnewline Trim. Skewness (13/120)-0.3086000.211200 & Trim. Kurtosis (13/120)-0.9742000.047800 \tabularnewline Trim. Skewness (14/120)-0.3021000.226200 & Trim. Kurtosis (14/120)-0.9621000.052400 \tabularnewline Trim. Skewness (15/120)-0.2995000.238000 & Trim. Kurtosis (15/120)-0.9397000.061400 \tabularnewline Trim. Skewness (16/120)-0.2945000.250200 & Trim. Kurtosis (16/120)-0.9222000.068800 \tabularnewline Trim. Skewness (17/120)-0.2849000.271400 & Trim. Kurtosis (17/120)-0.9123000.075000 \tabularnewline Trim. Skewness (18/120)-0.2662000.307800 & Trim. Kurtosis (18/120)-0.9106000.078400 \tabularnewline Trim. Skewness (19/120)-0.2425000.357600 & Trim. Kurtosis (19/120)-0.9181000.080200 \tabularnewline Trim. Skewness (20/120)-0.2180000.412200 & Trim. Kurtosis (20/120)-0.9252000.081800 \tabularnewline Trim. Skewness (21/120)-0.1829000.496400 & Trim. Kurtosis (21/120)-0.9534000.075000 \tabularnewline Trim. Skewness (22/120)-0.1636000.548400 & Trim. Kurtosis (22/120)-0.9432000.081800 \tabularnewline Trim. Skewness (23/120)-0.1422000.610000 & Trim. Kurtosis (23/120)-0.9344000.089200 \tabularnewline Trim. Skewness (24/120)-0.1281000.645600 & Trim. Kurtosis (24/120)-0.9086000.103200 \tabularnewline Trim. Skewness (25/120)-0.1130000.689200 & Trim. Kurtosis (25/120)-0.8819000.118800 \tabularnewline Trim. Skewness (26/120)-0.0937000.741400 & Trim. Kurtosis (26/120)-0.8604000.133600 \tabularnewline Trim. Skewness (27/120)-0.0624000.825800 & Trim. Kurtosis (27/120)-0.8548000.141600 \tabularnewline Trim. Skewness (28/120)-0.0309000.912400 & Trim. Kurtosis (28/120)-0.8514000.147000 \tabularnewline Trim. Skewness (29/120)0.0159000.952200 & Trim. Kurtosis (29/120)-0.8875000.136200 \tabularnewline Trim. Skewness (30/120)0.0696000.818000 & Trim. Kurtosis (30/120)-0.9211000.128600 \tabularnewline Trim. Skewness (31/120)0.1034000.741400 & Trim. Kurtosis (31/120)-0.9229000.133600 \tabularnewline Trim. Skewness (32/120)0.1559000.624200 & Trim. Kurtosis (32/120)-0.9605000.126000 \tabularnewline Trim. Skewness (33/120)0.1934000.548400 & Trim. Kurtosis (33/120)-0.9735000.126000 \tabularnewline Trim. Skewness (34/120)0.1929000.555200 & Trim. Kurtosis (34/120)-0.9567000.138800 \tabularnewline Trim. Skewness (35/120)0.1944000.562000 & Trim. Kurtosis (35/120)-0.9462000.152800 \tabularnewline Trim. Skewness (36/120)0.1696000.617000 & Trim. Kurtosis (36/120)-0.9444000.158600 \tabularnewline Trim. Skewness (37/120)0.1503000.667200 & Trim. Kurtosis (37/120)-0.9185000.180200 \tabularnewline Trim. Skewness (38/120)0.0953000.787200 & Trim. Kurtosis (38/120)-0.9211000.186800 \tabularnewline Trim. Skewness (39/120)0.0165000.960200 & Trim. Kurtosis (39/120)-0.9736000.173800 \tabularnewline Trim. Skewness (40/120)-0.0291000.936200 & Trim. Kurtosis (40/120)-0.9559000.190200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102983&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]-0.439500[/C]0.046600[/C][C]Trim. Kurtosis (0/120)[/C]-0.694000[/C]0.111800[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.419600[/C]0.058800[/C][C]Trim. Kurtosis (1/120)[/C]-0.779300[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.404000[/C]0.071800[/C][C]Trim. Kurtosis (2/120)[/C]-0.837600[/C]0.060200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.388700[/C]0.085400[/C][C]Trim. Kurtosis (3/120)[/C]-0.882800[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.376500[/C]0.099000[/C][C]Trim. Kurtosis (4/120)[/C]-0.900800[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.366400[/C]0.111800[/C][C]Trim. Kurtosis (5/120)[/C]-0.914800[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.353900[/C]0.126000[/C][C]Trim. Kurtosis (6/120)[/C]-0.940000[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.344700[/C]0.141600[/C][C]Trim. Kurtosis (7/120)[/C]-0.959500[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.335100[/C]0.155600[/C][C]Trim. Kurtosis (8/120)[/C]-0.970500[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.321500[/C]0.177000[/C][C]Trim. Kurtosis (9/120)[/C]-0.989500[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.315600[/C]0.190200[/C][C]Trim. Kurtosis (10/120)[/C]-0.993200[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.314400[/C]0.197000[/C][C]Trim. Kurtosis (11/120)[/C]-0.990900[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.313800[/C]0.200600[/C][C]Trim. Kurtosis (12/120)[/C]-0.988700[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.308600[/C]0.211200[/C][C]Trim. Kurtosis (13/120)[/C]-0.974200[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.302100[/C]0.226200[/C][C]Trim. Kurtosis (14/120)[/C]-0.962100[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.299500[/C]0.238000[/C][C]Trim. Kurtosis (15/120)[/C]-0.939700[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.294500[/C]0.250200[/C][C]Trim. Kurtosis (16/120)[/C]-0.922200[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.284900[/C]0.271400[/C][C]Trim. Kurtosis (17/120)[/C]-0.912300[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.266200[/C]0.307800[/C][C]Trim. Kurtosis (18/120)[/C]-0.910600[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.242500[/C]0.357600[/C][C]Trim. Kurtosis (19/120)[/C]-0.918100[/C]0.080200[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.218000[/C]0.412200[/C][C]Trim. Kurtosis (20/120)[/C]-0.925200[/C]0.081800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.182900[/C]0.496400[/C][C]Trim. Kurtosis (21/120)[/C]-0.953400[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.163600[/C]0.548400[/C][C]Trim. Kurtosis (22/120)[/C]-0.943200[/C]0.081800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.142200[/C]0.610000[/C][C]Trim. Kurtosis (23/120)[/C]-0.934400[/C]0.089200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.128100[/C]0.645600[/C][C]Trim. Kurtosis (24/120)[/C]-0.908600[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.113000[/C]0.689200[/C][C]Trim. Kurtosis (25/120)[/C]-0.881900[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.093700[/C]0.741400[/C][C]Trim. Kurtosis (26/120)[/C]-0.860400[/C]0.133600[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.062400[/C]0.825800[/C][C]Trim. Kurtosis (27/120)[/C]-0.854800[/C]0.141600[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.030900[/C]0.912400[/C][C]Trim. Kurtosis (28/120)[/C]-0.851400[/C]0.147000[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.015900[/C]0.952200[/C][C]Trim. Kurtosis (29/120)[/C]-0.887500[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.069600[/C]0.818000[/C][C]Trim. Kurtosis (30/120)[/C]-0.921100[/C]0.128600[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.103400[/C]0.741400[/C][C]Trim. Kurtosis (31/120)[/C]-0.922900[/C]0.133600[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.155900[/C]0.624200[/C][C]Trim. Kurtosis (32/120)[/C]-0.960500[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.193400[/C]0.548400[/C][C]Trim. Kurtosis (33/120)[/C]-0.973500[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.192900[/C]0.555200[/C][C]Trim. Kurtosis (34/120)[/C]-0.956700[/C]0.138800[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.194400[/C]0.562000[/C][C]Trim. Kurtosis (35/120)[/C]-0.946200[/C]0.152800[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.169600[/C]0.617000[/C][C]Trim. Kurtosis (36/120)[/C]-0.944400[/C]0.158600[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.150300[/C]0.667200[/C][C]Trim. Kurtosis (37/120)[/C]-0.918500[/C]0.180200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.095300[/C]0.787200[/C][C]Trim. Kurtosis (38/120)[/C]-0.921100[/C]0.186800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.016500[/C]0.960200[/C][C]Trim. Kurtosis (39/120)[/C]-0.973600[/C]0.173800[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.029100[/C]0.936200[/C][C]Trim. Kurtosis (40/120)[/C]-0.955900[/C]0.190200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102983&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102983&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)-0.4395000.046600Trim. Kurtosis (0/120)-0.6940000.111800
Trim. Skewness (1/120)-0.4196000.058800Trim. Kurtosis (1/120)-0.7793000.076800
Trim. Skewness (2/120)-0.4040000.071800Trim. Kurtosis (2/120)-0.8376000.060200
Trim. Skewness (3/120)-0.3887000.085400Trim. Kurtosis (3/120)-0.8828000.048800
Trim. Skewness (4/120)-0.3765000.099000Trim. Kurtosis (4/120)-0.9008000.046600
Trim. Skewness (5/120)-0.3664000.111800Trim. Kurtosis (5/120)-0.9148000.044400
Trim. Skewness (6/120)-0.3539000.126000Trim. Kurtosis (6/120)-0.9400000.041400
Trim. Skewness (7/120)-0.3447000.141600Trim. Kurtosis (7/120)-0.9595000.038400
Trim. Skewness (8/120)-0.3351000.155600Trim. Kurtosis (8/120)-0.9705000.038400
Trim. Skewness (9/120)-0.3215000.177000Trim. Kurtosis (9/120)-0.9895000.036600
Trim. Skewness (10/120)-0.3156000.190200Trim. Kurtosis (10/120)-0.9932000.037600
Trim. Skewness (11/120)-0.3144000.197000Trim. Kurtosis (11/120)-0.9909000.039400
Trim. Skewness (12/120)-0.3138000.200600Trim. Kurtosis (12/120)-0.9887000.042400
Trim. Skewness (13/120)-0.3086000.211200Trim. Kurtosis (13/120)-0.9742000.047800
Trim. Skewness (14/120)-0.3021000.226200Trim. Kurtosis (14/120)-0.9621000.052400
Trim. Skewness (15/120)-0.2995000.238000Trim. Kurtosis (15/120)-0.9397000.061400
Trim. Skewness (16/120)-0.2945000.250200Trim. Kurtosis (16/120)-0.9222000.068800
Trim. Skewness (17/120)-0.2849000.271400Trim. Kurtosis (17/120)-0.9123000.075000
Trim. Skewness (18/120)-0.2662000.307800Trim. Kurtosis (18/120)-0.9106000.078400
Trim. Skewness (19/120)-0.2425000.357600Trim. Kurtosis (19/120)-0.9181000.080200
Trim. Skewness (20/120)-0.2180000.412200Trim. Kurtosis (20/120)-0.9252000.081800
Trim. Skewness (21/120)-0.1829000.496400Trim. Kurtosis (21/120)-0.9534000.075000
Trim. Skewness (22/120)-0.1636000.548400Trim. Kurtosis (22/120)-0.9432000.081800
Trim. Skewness (23/120)-0.1422000.610000Trim. Kurtosis (23/120)-0.9344000.089200
Trim. Skewness (24/120)-0.1281000.645600Trim. Kurtosis (24/120)-0.9086000.103200
Trim. Skewness (25/120)-0.1130000.689200Trim. Kurtosis (25/120)-0.8819000.118800
Trim. Skewness (26/120)-0.0937000.741400Trim. Kurtosis (26/120)-0.8604000.133600
Trim. Skewness (27/120)-0.0624000.825800Trim. Kurtosis (27/120)-0.8548000.141600
Trim. Skewness (28/120)-0.0309000.912400Trim. Kurtosis (28/120)-0.8514000.147000
Trim. Skewness (29/120)0.0159000.952200Trim. Kurtosis (29/120)-0.8875000.136200
Trim. Skewness (30/120)0.0696000.818000Trim. Kurtosis (30/120)-0.9211000.128600
Trim. Skewness (31/120)0.1034000.741400Trim. Kurtosis (31/120)-0.9229000.133600
Trim. Skewness (32/120)0.1559000.624200Trim. Kurtosis (32/120)-0.9605000.126000
Trim. Skewness (33/120)0.1934000.548400Trim. Kurtosis (33/120)-0.9735000.126000
Trim. Skewness (34/120)0.1929000.555200Trim. Kurtosis (34/120)-0.9567000.138800
Trim. Skewness (35/120)0.1944000.562000Trim. Kurtosis (35/120)-0.9462000.152800
Trim. Skewness (36/120)0.1696000.617000Trim. Kurtosis (36/120)-0.9444000.158600
Trim. Skewness (37/120)0.1503000.667200Trim. Kurtosis (37/120)-0.9185000.180200
Trim. Skewness (38/120)0.0953000.787200Trim. Kurtosis (38/120)-0.9211000.186800
Trim. Skewness (39/120)0.0165000.960200Trim. Kurtosis (39/120)-0.9736000.173800
Trim. Skewness (40/120)-0.0291000.936200Trim. Kurtosis (40/120)-0.9559000.190200


Figures (Output of Computation)

Input Parameters & R Code

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