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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 18:08:22 +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/t1291054014qb9vhk52ngjv8fz.htm/, Retrieved Mon, 29 Apr 2024 15:31:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103007, Retrieved Mon, 29 Apr 2024 15:31:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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 
869.3080763
892.3205838
1013.734217
922.5018378
807.25649
863.0848369
872.6526882
978.4872958
874.7310076
909.7524062
827.5434739
898.3045939
884.3093764
841.9694881
832.5346341
769.9294238
1071.854666
862.3262471
1002.320941
853.4123898
985.2673759
891.3056852
886.711029
870.1251364
943.5508241
973.8444679
1041.60386
898.1246077
1023.188701
851.7557758
883.7301665
760.7382396
925.6459567
891.0866999
903.8970235
1070.571208
963.8287333
940.8216798
1045.956965
790.5845752
877.3013885
946.6817747
988.9693198
738.0871931
947.3505508
955.5499368
1006.275061
929.1738637
871.5089587
925.260203
791.6209195
988.9085046
947.0193862
856.3355333
894.1451381
765.1221986
798.0802913
1073.176229
896.4863864
996.3594837
1010.448614
744.4004166
885.1848154
991.8621553
993.6892078
880.0831577
873.7424108
848.4050466
914.8429177
1003.813651
923.8274796
911.9935987
832.2864621
739.7648629
1083.718098
794.4821783
912.6164303
976.1822674
703.3323256
819.8642143
1026.849235
911.0375831
859.757899
852.9222338
969.9704047
917.9061615
918.2121417
874.8016533
841.5488497
736.6418073
771.006761
850.258521
935.3688159
768.1587003
989.0811107
959.8247917
903.4543758
820.9884358
981.3408351
888.2945685
794.0371514
1013.734431
832.5797463
801.5817459
964.6851403
949.9968788
959.1191768
866.2254096
781.5286901
962.7457786
889.3714714
1062.745445
996.3456858
924.7501573
954.4535739
762.696746
895.4726711
810.5076557
967.2358257
910.4086679

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-38868.096420FISHER 4th Cent. Mom.1.24213e+8
FISHER beta 10.004293FISHER beta 22.491859
FISHER gamma 1-0.065518FISHER gamma 2-0.508141
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.293006FISHER Test 2-1.136239
FISHER Test 1 Probability0.764200FISHER Test 2 Probability0.254200
Pearson 20.154223
Yule using Quartile definition:Weighted Average at Xnp0.155481
Yule using Quartile definition:Weighted Average at X(n+1)p0.164046
Yule using Quartile definition:Empirical Distribution Function0.155481
Yule using Quartile definition:Empirical Distribution Function - Averaging0.166313
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.168603
Yule using Quartile definition:Closest Observation0.155481
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.168603
Yule using Quartile definition:MS Excel (old versions)0.161802
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.066350Kurtosis (small sample)-0.478251
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.300393TEST 1 (small sample)-1.091073
TEST 1 Prob. (small sample)0.756600TEST 1 Prob. (small sample)0.271400
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-38868.096420 & FISHER 4th Cent. Mom.1.24213e+8 \tabularnewline FISHER beta 10.004293 & FISHER beta 22.491859 \tabularnewline FISHER gamma 1-0.065518 & FISHER gamma 2-0.508141 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-0.293006 & FISHER Test 2-1.136239 \tabularnewline FISHER Test 1 Probability0.764200 & FISHER Test 2 Probability0.254200 \tabularnewline Pearson 20.154223 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.155481 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.164046 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.155481 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.166313 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.168603 & & \tabularnewline Yule using Quartile definition:Closest Observation0.155481 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.168603 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.161802 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.066350 & Kurtosis (small sample)-0.478251 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-0.300393 & TEST 1 (small sample)-1.091073 \tabularnewline TEST 1 Prob. (small sample)0.756600 & TEST 1 Prob. (small sample)0.271400 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103007&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]-38868.096420[/C][C]FISHER 4th Cent. Mom.[/C]1.24213e+8[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.004293[/C][C]FISHER beta 2[/C]2.491859[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.065518[/C][C]FISHER gamma 2[/C]-0.508141[/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]-0.293006[/C][C]FISHER Test 2[/C]-1.136239[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.764200[/C][C]FISHER Test 2 Probability[/C]0.254200[/C][/ROW] [ROW][C]Pearson 2[/C]0.154223[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.155481[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.164046[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.155481[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.166313[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.168603[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.155481[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.168603[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.161802[/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]-0.066350[/C][C]Kurtosis (small sample)[/C]-0.478251[/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]-0.300393[/C][C]TEST 1 (small sample)[/C]-1.091073[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.756600[/C][C]TEST 1 Prob. (small sample)[/C]0.271400[/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=103007&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103007&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.-38868.096420FISHER 4th Cent. Mom.1.24213e+8
FISHER beta 10.004293FISHER beta 22.491859
FISHER gamma 1-0.065518FISHER gamma 2-0.508141
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.293006FISHER Test 2-1.136239
FISHER Test 1 Probability0.764200FISHER Test 2 Probability0.254200
Pearson 20.154223
Yule using Quartile definition:Weighted Average at Xnp0.155481
Yule using Quartile definition:Weighted Average at X(n+1)p0.164046
Yule using Quartile definition:Empirical Distribution Function0.155481
Yule using Quartile definition:Empirical Distribution Function - Averaging0.166313
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.168603
Yule using Quartile definition:Closest Observation0.155481
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.168603
Yule using Quartile definition:MS Excel (old versions)0.161802
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.066350Kurtosis (small sample)-0.478251
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.300393TEST 1 (small sample)-1.091073
TEST 1 Prob. (small sample)0.756600TEST 1 Prob. (small sample)0.271400
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.0664000.756600Trim. Kurtosis (0/120)-0.4783000.271400
Trim. Skewness (1/120)-0.0494000.818000Trim. Kurtosis (1/120)-0.5638000.200600
Trim. Skewness (2/120)-0.0601000.787200Trim. Kurtosis (2/120)-0.5776000.193600
Trim. Skewness (3/120)-0.0734000.741400Trim. Kurtosis (3/120)-0.6109000.173800
Trim. Skewness (4/120)-0.0904000.689200Trim. Kurtosis (4/120)-0.6724000.136200
Trim. Skewness (5/120)-0.1052000.645600Trim. Kurtosis (5/120)-0.7412000.103200
Trim. Skewness (6/120)-0.1189000.603000Trim. Kurtosis (6/120)-0.7577000.099000
Trim. Skewness (7/120)-0.1314000.575400Trim. Kurtosis (7/120)-0.7815000.093000
Trim. Skewness (8/120)-0.1278000.589200Trim. Kurtosis (8/120)-0.7902000.091000
Trim. Skewness (9/120)-0.1219000.610000Trim. Kurtosis (9/120)-0.8024000.089200
Trim. Skewness (10/120)-0.1036000.667200Trim. Kurtosis (10/120)-0.8143000.087200
Trim. Skewness (11/120)-0.0812000.733800Trim. Kurtosis (11/120)-0.8447000.080200
Trim. Skewness (12/120)-0.0675000.779400Trim. Kurtosis (12/120)-0.8552000.078400
Trim. Skewness (13/120)-0.0597000.810400Trim. Kurtosis (13/120)-0.8474000.083600
Trim. Skewness (14/120)-0.0474000.849200Trim. Kurtosis (14/120)-0.8453000.089200
Trim. Skewness (15/120)-0.0335000.888600Trim. Kurtosis (15/120)-0.8487000.091000
Trim. Skewness (16/120)-0.0063000.976000Trim. Kurtosis (16/120)-0.8591000.089200
Trim. Skewness (17/120)0.0207000.936200Trim. Kurtosis (17/120)-0.8769000.087200
Trim. Skewness (18/120)0.0517000.841400Trim. Kurtosis (18/120)-0.8991000.081800
Trim. Skewness (19/120)0.0799000.756600Trim. Kurtosis (19/120)-0.9174000.080200
Trim. Skewness (20/120)0.1128000.674400Trim. Kurtosis (20/120)-0.9400000.076800
Trim. Skewness (21/120)0.1280000.631200Trim. Kurtosis (21/120)-0.9462000.078400
Trim. Skewness (22/120)0.1440000.596200Trim. Kurtosis (22/120)-0.9737000.073400
Trim. Skewness (23/120)0.1536000.575400Trim. Kurtosis (23/120)-0.9868000.073400
Trim. Skewness (24/120)0.1615000.562000Trim. Kurtosis (24/120)-0.9880000.076800
Trim. Skewness (25/120)0.1779000.528600Trim. Kurtosis (25/120)-0.9975000.076800
Trim. Skewness (26/120)0.2054000.477600Trim. Kurtosis (26/120)-1.0258000.073400
Trim. Skewness (27/120)0.2135000.465400Trim. Kurtosis (27/120)-1.0289000.076800
Trim. Skewness (28/120)0.2337000.429600Trim. Kurtosis (28/120)-1.0321000.080200
Trim. Skewness (29/120)0.2428000.423800Trim. Kurtosis (29/120)-1.0147000.089200
Trim. Skewness (30/120)0.2543000.406600Trim. Kurtosis (30/120)-0.9909000.103200
Trim. Skewness (31/120)0.2638000.395400Trim. Kurtosis (31/120)-0.9720000.114200
Trim. Skewness (32/120)0.2723000.389800Trim. Kurtosis (32/120)-0.9629000.123600
Trim. Skewness (33/120)0.2919000.368200Trim. Kurtosis (33/120)-0.9556000.133600
Trim. Skewness (34/120)0.3009000.357600Trim. Kurtosis (34/120)-0.9626000.136200
Trim. Skewness (35/120)0.3090000.357600Trim. Kurtosis (35/120)-0.9510000.149800
Trim. Skewness (36/120)0.3047000.373400Trim. Kurtosis (36/120)-0.9540000.155600
Trim. Skewness (37/120)0.3190000.357600Trim. Kurtosis (37/120)-0.9346000.173800
Trim. Skewness (38/120)0.3286000.357600Trim. Kurtosis (38/120)-0.8955000.200600
Trim. Skewness (39/120)0.3122000.389800Trim. Kurtosis (39/120)-0.8754000.218600
Trim. Skewness (40/120)0.2685000.471600Trim. Kurtosis (40/120)-0.9228000.207600

\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)-0.0664000.756600 & Trim. Kurtosis (0/120)-0.4783000.271400 \tabularnewline Trim. Skewness (1/120)-0.0494000.818000 & Trim. Kurtosis (1/120)-0.5638000.200600 \tabularnewline Trim. Skewness (2/120)-0.0601000.787200 & Trim. Kurtosis (2/120)-0.5776000.193600 \tabularnewline Trim. Skewness (3/120)-0.0734000.741400 & Trim. Kurtosis (3/120)-0.6109000.173800 \tabularnewline Trim. Skewness (4/120)-0.0904000.689200 & Trim. Kurtosis (4/120)-0.6724000.136200 \tabularnewline Trim. Skewness (5/120)-0.1052000.645600 & Trim. Kurtosis (5/120)-0.7412000.103200 \tabularnewline Trim. Skewness (6/120)-0.1189000.603000 & Trim. Kurtosis (6/120)-0.7577000.099000 \tabularnewline Trim. Skewness (7/120)-0.1314000.575400 & Trim. Kurtosis (7/120)-0.7815000.093000 \tabularnewline Trim. Skewness (8/120)-0.1278000.589200 & Trim. Kurtosis (8/120)-0.7902000.091000 \tabularnewline Trim. Skewness (9/120)-0.1219000.610000 & Trim. Kurtosis (9/120)-0.8024000.089200 \tabularnewline Trim. Skewness (10/120)-0.1036000.667200 & Trim. Kurtosis (10/120)-0.8143000.087200 \tabularnewline Trim. Skewness (11/120)-0.0812000.733800 & Trim. Kurtosis (11/120)-0.8447000.080200 \tabularnewline Trim. Skewness (12/120)-0.0675000.779400 & Trim. Kurtosis (12/120)-0.8552000.078400 \tabularnewline Trim. Skewness (13/120)-0.0597000.810400 & Trim. Kurtosis (13/120)-0.8474000.083600 \tabularnewline Trim. Skewness (14/120)-0.0474000.849200 & Trim. Kurtosis (14/120)-0.8453000.089200 \tabularnewline Trim. Skewness (15/120)-0.0335000.888600 & Trim. Kurtosis (15/120)-0.8487000.091000 \tabularnewline Trim. Skewness (16/120)-0.0063000.976000 & Trim. Kurtosis (16/120)-0.8591000.089200 \tabularnewline Trim. Skewness (17/120)0.0207000.936200 & Trim. Kurtosis (17/120)-0.8769000.087200 \tabularnewline Trim. Skewness (18/120)0.0517000.841400 & Trim. Kurtosis (18/120)-0.8991000.081800 \tabularnewline Trim. Skewness (19/120)0.0799000.756600 & Trim. Kurtosis (19/120)-0.9174000.080200 \tabularnewline Trim. Skewness (20/120)0.1128000.674400 & Trim. Kurtosis (20/120)-0.9400000.076800 \tabularnewline Trim. Skewness (21/120)0.1280000.631200 & Trim. Kurtosis (21/120)-0.9462000.078400 \tabularnewline Trim. Skewness (22/120)0.1440000.596200 & Trim. Kurtosis (22/120)-0.9737000.073400 \tabularnewline Trim. Skewness (23/120)0.1536000.575400 & Trim. Kurtosis (23/120)-0.9868000.073400 \tabularnewline Trim. Skewness (24/120)0.1615000.562000 & Trim. Kurtosis (24/120)-0.9880000.076800 \tabularnewline Trim. Skewness (25/120)0.1779000.528600 & Trim. Kurtosis (25/120)-0.9975000.076800 \tabularnewline Trim. Skewness (26/120)0.2054000.477600 & Trim. Kurtosis (26/120)-1.0258000.073400 \tabularnewline Trim. Skewness (27/120)0.2135000.465400 & Trim. Kurtosis (27/120)-1.0289000.076800 \tabularnewline Trim. Skewness (28/120)0.2337000.429600 & Trim. Kurtosis (28/120)-1.0321000.080200 \tabularnewline Trim. Skewness (29/120)0.2428000.423800 & Trim. Kurtosis (29/120)-1.0147000.089200 \tabularnewline Trim. Skewness (30/120)0.2543000.406600 & Trim. Kurtosis (30/120)-0.9909000.103200 \tabularnewline Trim. Skewness (31/120)0.2638000.395400 & Trim. Kurtosis (31/120)-0.9720000.114200 \tabularnewline Trim. Skewness (32/120)0.2723000.389800 & Trim. Kurtosis (32/120)-0.9629000.123600 \tabularnewline Trim. Skewness (33/120)0.2919000.368200 & Trim. Kurtosis (33/120)-0.9556000.133600 \tabularnewline Trim. Skewness (34/120)0.3009000.357600 & Trim. Kurtosis (34/120)-0.9626000.136200 \tabularnewline Trim. Skewness (35/120)0.3090000.357600 & Trim. Kurtosis (35/120)-0.9510000.149800 \tabularnewline Trim. Skewness (36/120)0.3047000.373400 & Trim. Kurtosis (36/120)-0.9540000.155600 \tabularnewline Trim. Skewness (37/120)0.3190000.357600 & Trim. Kurtosis (37/120)-0.9346000.173800 \tabularnewline Trim. Skewness (38/120)0.3286000.357600 & Trim. Kurtosis (38/120)-0.8955000.200600 \tabularnewline Trim. Skewness (39/120)0.3122000.389800 & Trim. Kurtosis (39/120)-0.8754000.218600 \tabularnewline Trim. Skewness (40/120)0.2685000.471600 & Trim. Kurtosis (40/120)-0.9228000.207600 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103007&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]-0.066400[/C]0.756600[/C][C]Trim. Kurtosis (0/120)[/C]-0.478300[/C]0.271400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.049400[/C]0.818000[/C][C]Trim. Kurtosis (1/120)[/C]-0.563800[/C]0.200600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.060100[/C]0.787200[/C][C]Trim. Kurtosis (2/120)[/C]-0.577600[/C]0.193600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.073400[/C]0.741400[/C][C]Trim. Kurtosis (3/120)[/C]-0.610900[/C]0.173800[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.090400[/C]0.689200[/C][C]Trim. Kurtosis (4/120)[/C]-0.672400[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.105200[/C]0.645600[/C][C]Trim. Kurtosis (5/120)[/C]-0.741200[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.118900[/C]0.603000[/C][C]Trim. Kurtosis (6/120)[/C]-0.757700[/C]0.099000[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.131400[/C]0.575400[/C][C]Trim. Kurtosis (7/120)[/C]-0.781500[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.127800[/C]0.589200[/C][C]Trim. Kurtosis (8/120)[/C]-0.790200[/C]0.091000[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.121900[/C]0.610000[/C][C]Trim. Kurtosis (9/120)[/C]-0.802400[/C]0.089200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.103600[/C]0.667200[/C][C]Trim. Kurtosis (10/120)[/C]-0.814300[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.081200[/C]0.733800[/C][C]Trim. Kurtosis (11/120)[/C]-0.844700[/C]0.080200[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.067500[/C]0.779400[/C][C]Trim. Kurtosis (12/120)[/C]-0.855200[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.059700[/C]0.810400[/C][C]Trim. Kurtosis (13/120)[/C]-0.847400[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.047400[/C]0.849200[/C][C]Trim. Kurtosis (14/120)[/C]-0.845300[/C]0.089200[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.033500[/C]0.888600[/C][C]Trim. Kurtosis (15/120)[/C]-0.848700[/C]0.091000[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.006300[/C]0.976000[/C][C]Trim. Kurtosis (16/120)[/C]-0.859100[/C]0.089200[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.020700[/C]0.936200[/C][C]Trim. Kurtosis (17/120)[/C]-0.876900[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.051700[/C]0.841400[/C][C]Trim. Kurtosis (18/120)[/C]-0.899100[/C]0.081800[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.079900[/C]0.756600[/C][C]Trim. Kurtosis (19/120)[/C]-0.917400[/C]0.080200[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.112800[/C]0.674400[/C][C]Trim. Kurtosis (20/120)[/C]-0.940000[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.128000[/C]0.631200[/C][C]Trim. Kurtosis (21/120)[/C]-0.946200[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.144000[/C]0.596200[/C][C]Trim. Kurtosis (22/120)[/C]-0.973700[/C]0.073400[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.153600[/C]0.575400[/C][C]Trim. Kurtosis (23/120)[/C]-0.986800[/C]0.073400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.161500[/C]0.562000[/C][C]Trim. Kurtosis (24/120)[/C]-0.988000[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.177900[/C]0.528600[/C][C]Trim. Kurtosis (25/120)[/C]-0.997500[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.205400[/C]0.477600[/C][C]Trim. Kurtosis (26/120)[/C]-1.025800[/C]0.073400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.213500[/C]0.465400[/C][C]Trim. Kurtosis (27/120)[/C]-1.028900[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.233700[/C]0.429600[/C][C]Trim. Kurtosis (28/120)[/C]-1.032100[/C]0.080200[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.242800[/C]0.423800[/C][C]Trim. Kurtosis (29/120)[/C]-1.014700[/C]0.089200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.254300[/C]0.406600[/C][C]Trim. Kurtosis (30/120)[/C]-0.990900[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.263800[/C]0.395400[/C][C]Trim. Kurtosis (31/120)[/C]-0.972000[/C]0.114200[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.272300[/C]0.389800[/C][C]Trim. Kurtosis (32/120)[/C]-0.962900[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.291900[/C]0.368200[/C][C]Trim. Kurtosis (33/120)[/C]-0.955600[/C]0.133600[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.300900[/C]0.357600[/C][C]Trim. Kurtosis (34/120)[/C]-0.962600[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.309000[/C]0.357600[/C][C]Trim. Kurtosis (35/120)[/C]-0.951000[/C]0.149800[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.304700[/C]0.373400[/C][C]Trim. Kurtosis (36/120)[/C]-0.954000[/C]0.155600[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.319000[/C]0.357600[/C][C]Trim. Kurtosis (37/120)[/C]-0.934600[/C]0.173800[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.328600[/C]0.357600[/C][C]Trim. Kurtosis (38/120)[/C]-0.895500[/C]0.200600[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.312200[/C]0.389800[/C][C]Trim. Kurtosis (39/120)[/C]-0.875400[/C]0.218600[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.268500[/C]0.471600[/C][C]Trim. Kurtosis (40/120)[/C]-0.922800[/C]0.207600[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103007&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103007&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)-0.0664000.756600Trim. Kurtosis (0/120)-0.4783000.271400
Trim. Skewness (1/120)-0.0494000.818000Trim. Kurtosis (1/120)-0.5638000.200600
Trim. Skewness (2/120)-0.0601000.787200Trim. Kurtosis (2/120)-0.5776000.193600
Trim. Skewness (3/120)-0.0734000.741400Trim. Kurtosis (3/120)-0.6109000.173800
Trim. Skewness (4/120)-0.0904000.689200Trim. Kurtosis (4/120)-0.6724000.136200
Trim. Skewness (5/120)-0.1052000.645600Trim. Kurtosis (5/120)-0.7412000.103200
Trim. Skewness (6/120)-0.1189000.603000Trim. Kurtosis (6/120)-0.7577000.099000
Trim. Skewness (7/120)-0.1314000.575400Trim. Kurtosis (7/120)-0.7815000.093000
Trim. Skewness (8/120)-0.1278000.589200Trim. Kurtosis (8/120)-0.7902000.091000
Trim. Skewness (9/120)-0.1219000.610000Trim. Kurtosis (9/120)-0.8024000.089200
Trim. Skewness (10/120)-0.1036000.667200Trim. Kurtosis (10/120)-0.8143000.087200
Trim. Skewness (11/120)-0.0812000.733800Trim. Kurtosis (11/120)-0.8447000.080200
Trim. Skewness (12/120)-0.0675000.779400Trim. Kurtosis (12/120)-0.8552000.078400
Trim. Skewness (13/120)-0.0597000.810400Trim. Kurtosis (13/120)-0.8474000.083600
Trim. Skewness (14/120)-0.0474000.849200Trim. Kurtosis (14/120)-0.8453000.089200
Trim. Skewness (15/120)-0.0335000.888600Trim. Kurtosis (15/120)-0.8487000.091000
Trim. Skewness (16/120)-0.0063000.976000Trim. Kurtosis (16/120)-0.8591000.089200
Trim. Skewness (17/120)0.0207000.936200Trim. Kurtosis (17/120)-0.8769000.087200
Trim. Skewness (18/120)0.0517000.841400Trim. Kurtosis (18/120)-0.8991000.081800
Trim. Skewness (19/120)0.0799000.756600Trim. Kurtosis (19/120)-0.9174000.080200
Trim. Skewness (20/120)0.1128000.674400Trim. Kurtosis (20/120)-0.9400000.076800
Trim. Skewness (21/120)0.1280000.631200Trim. Kurtosis (21/120)-0.9462000.078400
Trim. Skewness (22/120)0.1440000.596200Trim. Kurtosis (22/120)-0.9737000.073400
Trim. Skewness (23/120)0.1536000.575400Trim. Kurtosis (23/120)-0.9868000.073400
Trim. Skewness (24/120)0.1615000.562000Trim. Kurtosis (24/120)-0.9880000.076800
Trim. Skewness (25/120)0.1779000.528600Trim. Kurtosis (25/120)-0.9975000.076800
Trim. Skewness (26/120)0.2054000.477600Trim. Kurtosis (26/120)-1.0258000.073400
Trim. Skewness (27/120)0.2135000.465400Trim. Kurtosis (27/120)-1.0289000.076800
Trim. Skewness (28/120)0.2337000.429600Trim. Kurtosis (28/120)-1.0321000.080200
Trim. Skewness (29/120)0.2428000.423800Trim. Kurtosis (29/120)-1.0147000.089200
Trim. Skewness (30/120)0.2543000.406600Trim. Kurtosis (30/120)-0.9909000.103200
Trim. Skewness (31/120)0.2638000.395400Trim. Kurtosis (31/120)-0.9720000.114200
Trim. Skewness (32/120)0.2723000.389800Trim. Kurtosis (32/120)-0.9629000.123600
Trim. Skewness (33/120)0.2919000.368200Trim. Kurtosis (33/120)-0.9556000.133600
Trim. Skewness (34/120)0.3009000.357600Trim. Kurtosis (34/120)-0.9626000.136200
Trim. Skewness (35/120)0.3090000.357600Trim. Kurtosis (35/120)-0.9510000.149800
Trim. Skewness (36/120)0.3047000.373400Trim. Kurtosis (36/120)-0.9540000.155600
Trim. Skewness (37/120)0.3190000.357600Trim. Kurtosis (37/120)-0.9346000.173800
Trim. Skewness (38/120)0.3286000.357600Trim. Kurtosis (38/120)-0.8955000.200600
Trim. Skewness (39/120)0.3122000.389800Trim. Kurtosis (39/120)-0.8754000.218600
Trim. Skewness (40/120)0.2685000.471600Trim. Kurtosis (40/120)-0.9228000.207600


Figures (Output of Computation)

Input Parameters & R Code

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