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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 18:00:24 +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/t1291053518rm6avldin8b97oj.htm/, Retrieved Mon, 29 Apr 2024 16:16:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102998, Retrieved Mon, 29 Apr 2024 16:16:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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 
3295.886167
2283.200295
3313.874799
3347.527075
3327.314991
2734.79705
2876.921918
2964.529417
3210.643888
2948.08099
2939.382779
3598.77741
2667.055334
3395.463451
2982.611477
2775.879317
2965.134897
2947.284484
3255.512565
2807.052183
2966.431458
3185.814104
3284.282274
3150.905964
2991.0439
3014.327013
2816.694935
3069.6175
2864.297357
3000.511321
2813.653326
3044.897769
2726.0116
3143.221743
2807.526604
2872.737977
2963.111517
3153.165816
3034.811312
2817.94638
3268.358191
3111.983589
3330.168266
3004.57761
3219.474102
3136.47757
3147.671333
2708.471795
3249.123539
2653.385349
2886.439188
2981.369668
3256.375836
3409.792713
3252.681829
3309.668426
3177.515525
3208.354849
3202.129825
3359.35279
2937.605811
3259.307284
2885.61118
2767.731768
2756.916846
3235.648949
3438.418637
3079.156199
3180.418648
2918.268775
2769.932248
3032.074287
3153.114606
2976.108699
3279.944277
2559.893342
3255.80638
3046.041935
3225.353138
2642.102453
3400.190708
3345.765052
2725.418017
3219.36317
3153.303248
3379.955946
2888.185242
3270.711103
2398.775101
3403.21702
3160.310586
2820.028666
2543.915751
3232.98696
3430.6546
3312.611709
3410.383476
2746.411317
3246.70919
3158.977307
3052.3398
2633.764549
3154.737808
2628.08324
3307.048801
3255.021091
2862.730171
2605.38487
2820.643208
3189.126866
3354.765953
2872.74096
3315.709233
2754.187723
2641.484905
3134.920285
3249.765828
2710.225469
2811.731772
2944.350815

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-6.74357e+6FISHER 4th Cent. Mom.1.07780e+10
FISHER beta 10.166113FISHER beta 22.556356
FISHER gamma 1-0.407570FISHER gamma 2-0.443644
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.822709FISHER Test 2-0.992018
FISHER Test 1 Probability0.067200FISHER Test 2 Probability0.317400
Pearson 2-0.209081
Yule using Quartile definition:Weighted Average at Xnp-0.112565
Yule using Quartile definition:Weighted Average at X(n+1)p-0.085893
Yule using Quartile definition:Empirical Distribution Function-0.112565
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.064099
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.041097
Yule using Quartile definition:Closest Observation-0.112565
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.041097
Yule using Quartile definition:MS Excel (old versions)-0.106573
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.412748Kurtosis (small sample)-0.410983
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.868663TEST 1 (small sample)-0.937610
TEST 1 Prob. (small sample)0.061400TEST 1 Prob. (small sample)0.347200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-6.74357e+6 & FISHER 4th Cent. Mom.1.07780e+10 \tabularnewline FISHER beta 10.166113 & FISHER beta 22.556356 \tabularnewline FISHER gamma 1-0.407570 & FISHER gamma 2-0.443644 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-1.822709 & FISHER Test 2-0.992018 \tabularnewline FISHER Test 1 Probability0.067200 & FISHER Test 2 Probability0.317400 \tabularnewline Pearson 2-0.209081 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.112565 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.085893 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.112565 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.064099 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.041097 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.112565 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.041097 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.106573 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.412748 & Kurtosis (small sample)-0.410983 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-1.868663 & TEST 1 (small sample)-0.937610 \tabularnewline TEST 1 Prob. (small sample)0.061400 & TEST 1 Prob. (small sample)0.347200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102998&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]-6.74357e+6[/C][C]FISHER 4th Cent. Mom.[/C]1.07780e+10[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.166113[/C][C]FISHER beta 2[/C]2.556356[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.407570[/C][C]FISHER gamma 2[/C]-0.443644[/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]-1.822709[/C][C]FISHER Test 2[/C]-0.992018[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.067200[/C][C]FISHER Test 2 Probability[/C]0.317400[/C][/ROW] [ROW][C]Pearson 2[/C]-0.209081[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.112565[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.085893[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.112565[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.064099[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.041097[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.112565[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.041097[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.106573[/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]-0.412748[/C][C]Kurtosis (small sample)[/C]-0.410983[/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]-1.868663[/C][C]TEST 1 (small sample)[/C]-0.937610[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.061400[/C][C]TEST 1 Prob. (small sample)[/C]0.347200[/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=102998&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102998&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.-6.74357e+6FISHER 4th Cent. Mom.1.07780e+10
FISHER beta 10.166113FISHER beta 22.556356
FISHER gamma 1-0.407570FISHER gamma 2-0.443644
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.822709FISHER Test 2-0.992018
FISHER Test 1 Probability0.067200FISHER Test 2 Probability0.317400
Pearson 2-0.209081
Yule using Quartile definition:Weighted Average at Xnp-0.112565
Yule using Quartile definition:Weighted Average at X(n+1)p-0.085893
Yule using Quartile definition:Empirical Distribution Function-0.112565
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.064099
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.041097
Yule using Quartile definition:Closest Observation-0.112565
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.041097
Yule using Quartile definition:MS Excel (old versions)-0.106573
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.412748Kurtosis (small sample)-0.410983
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.868663TEST 1 (small sample)-0.937610
TEST 1 Prob. (small sample)0.061400TEST 1 Prob. (small sample)0.347200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.4127000.061400Trim. Kurtosis (0/120)-0.4110000.347200
Trim. Skewness (1/120)-0.3503000.114200Trim. Kurtosis (1/120)-0.8355000.057400
Trim. Skewness (2/120)-0.2810000.207600Trim. Kurtosis (2/120)-1.0447000.018800
Trim. Skewness (3/120)-0.2682000.234000Trim. Kurtosis (3/120)-1.0858000.015600
Trim. Skewness (4/120)-0.2519000.267000Trim. Kurtosis (4/120)-1.1265000.012800
Trim. Skewness (5/120)-0.2480000.280200Trim. Kurtosis (5/120)-1.1442000.012000
Trim. Skewness (6/120)-0.2480000.284600Trim. Kurtosis (6/120)-1.1550000.012000
Trim. Skewness (7/120)-0.2478000.289200Trim. Kurtosis (7/120)-1.1711000.011800
Trim. Skewness (8/120)-0.2476000.293800Trim. Kurtosis (8/120)-1.1919000.011000
Trim. Skewness (9/120)-0.2410000.312400Trim. Kurtosis (9/120)-1.2208000.009800
Trim. Skewness (10/120)-0.2300000.337000Trim. Kurtosis (10/120)-1.2483000.009000
Trim. Skewness (11/120)-0.2197000.362800Trim. Kurtosis (11/120)-1.2762000.008000
Trim. Skewness (12/120)-0.2206000.368200Trim. Kurtosis (12/120)-1.2797000.008600
Trim. Skewness (13/120)-0.2206000.373400Trim. Kurtosis (13/120)-1.2889000.008800
Trim. Skewness (14/120)-0.2202000.378800Trim. Kurtosis (14/120)-1.2901000.009400
Trim. Skewness (15/120)-0.2178000.389800Trim. Kurtosis (15/120)-1.2971000.009800
Trim. Skewness (16/120)-0.2135000.400800Trim. Kurtosis (16/120)-1.3019000.010200
Trim. Skewness (17/120)-0.2115000.412200Trim. Kurtosis (17/120)-1.3045000.011000
Trim. Skewness (18/120)-0.2108000.418000Trim. Kurtosis (18/120)-1.3078000.011800
Trim. Skewness (19/120)-0.2087000.429600Trim. Kurtosis (19/120)-1.3165000.012000
Trim. Skewness (20/120)-0.2090000.435400Trim. Kurtosis (20/120)-1.3241000.012800
Trim. Skewness (21/120)-0.2041000.453200Trim. Kurtosis (21/120)-1.3356000.012800
Trim. Skewness (22/120)-0.1949000.477600Trim. Kurtosis (22/120)-1.3483000.013200
Trim. Skewness (23/120)-0.1972000.477600Trim. Kurtosis (23/120)-1.3384000.015000
Trim. Skewness (24/120)-0.1951000.490200Trim. Kurtosis (24/120)-1.3297000.017400
Trim. Skewness (25/120)-0.1923000.496400Trim. Kurtosis (25/120)-1.3218000.019200
Trim. Skewness (26/120)-0.1845000.522200Trim. Kurtosis (26/120)-1.3159000.021400
Trim. Skewness (27/120)-0.1735000.555200Trim. Kurtosis (27/120)-1.3137000.023800
Trim. Skewness (28/120)-0.1581000.596200Trim. Kurtosis (28/120)-1.3211000.025000
Trim. Skewness (29/120)-0.1375000.645600Trim. Kurtosis (29/120)-1.3423000.025000
Trim. Skewness (30/120)-0.1077000.726400Trim. Kurtosis (30/120)-1.3890000.022000
Trim. Skewness (31/120)-0.1067000.726400Trim. Kurtosis (31/120)-1.3829000.025000
Trim. Skewness (32/120)-0.1032000.741400Trim. Kurtosis (32/120)-1.3826000.027200
Trim. Skewness (33/120)-0.1044000.741400Trim. Kurtosis (33/120)-1.3826000.030000
Trim. Skewness (34/120)-0.1022000.756600Trim. Kurtosis (34/120)-1.3969000.031600
Trim. Skewness (35/120)-0.0911000.779400Trim. Kurtosis (35/120)-1.4141000.032400
Trim. Skewness (36/120)-0.0823000.810400Trim. Kurtosis (36/120)-1.4349000.033200
Trim. Skewness (37/120)-0.0599000.857200Trim. Kurtosis (37/120)-1.4771000.031600
Trim. Skewness (38/120)-0.0206000.952200Trim. Kurtosis (38/120)-1.5568000.026400
Trim. Skewness (39/120)-0.0173000.960200Trim. Kurtosis (39/120)-1.5911000.025800
Trim. Skewness (40/120)-0.0267000.936200Trim. Kurtosis (40/120)-1.5975000.028600

\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)-0.4127000.061400 & Trim. Kurtosis (0/120)-0.4110000.347200 \tabularnewline Trim. Skewness (1/120)-0.3503000.114200 & Trim. Kurtosis (1/120)-0.8355000.057400 \tabularnewline Trim. Skewness (2/120)-0.2810000.207600 & Trim. Kurtosis (2/120)-1.0447000.018800 \tabularnewline Trim. Skewness (3/120)-0.2682000.234000 & Trim. Kurtosis (3/120)-1.0858000.015600 \tabularnewline Trim. Skewness (4/120)-0.2519000.267000 & Trim. Kurtosis (4/120)-1.1265000.012800 \tabularnewline Trim. Skewness (5/120)-0.2480000.280200 & Trim. Kurtosis (5/120)-1.1442000.012000 \tabularnewline Trim. Skewness (6/120)-0.2480000.284600 & Trim. Kurtosis (6/120)-1.1550000.012000 \tabularnewline Trim. Skewness (7/120)-0.2478000.289200 & Trim. Kurtosis (7/120)-1.1711000.011800 \tabularnewline Trim. Skewness (8/120)-0.2476000.293800 & Trim. Kurtosis (8/120)-1.1919000.011000 \tabularnewline Trim. Skewness (9/120)-0.2410000.312400 & Trim. Kurtosis (9/120)-1.2208000.009800 \tabularnewline Trim. Skewness (10/120)-0.2300000.337000 & Trim. Kurtosis (10/120)-1.2483000.009000 \tabularnewline Trim. Skewness (11/120)-0.2197000.362800 & Trim. Kurtosis (11/120)-1.2762000.008000 \tabularnewline Trim. Skewness (12/120)-0.2206000.368200 & Trim. Kurtosis (12/120)-1.2797000.008600 \tabularnewline Trim. Skewness (13/120)-0.2206000.373400 & Trim. Kurtosis (13/120)-1.2889000.008800 \tabularnewline Trim. Skewness (14/120)-0.2202000.378800 & Trim. Kurtosis (14/120)-1.2901000.009400 \tabularnewline Trim. Skewness (15/120)-0.2178000.389800 & Trim. Kurtosis (15/120)-1.2971000.009800 \tabularnewline Trim. Skewness (16/120)-0.2135000.400800 & Trim. Kurtosis (16/120)-1.3019000.010200 \tabularnewline Trim. Skewness (17/120)-0.2115000.412200 & Trim. Kurtosis (17/120)-1.3045000.011000 \tabularnewline Trim. Skewness (18/120)-0.2108000.418000 & Trim. Kurtosis (18/120)-1.3078000.011800 \tabularnewline Trim. Skewness (19/120)-0.2087000.429600 & Trim. Kurtosis (19/120)-1.3165000.012000 \tabularnewline Trim. Skewness (20/120)-0.2090000.435400 & Trim. Kurtosis (20/120)-1.3241000.012800 \tabularnewline Trim. Skewness (21/120)-0.2041000.453200 & Trim. Kurtosis (21/120)-1.3356000.012800 \tabularnewline Trim. Skewness (22/120)-0.1949000.477600 & Trim. Kurtosis (22/120)-1.3483000.013200 \tabularnewline Trim. Skewness (23/120)-0.1972000.477600 & Trim. Kurtosis (23/120)-1.3384000.015000 \tabularnewline Trim. Skewness (24/120)-0.1951000.490200 & Trim. Kurtosis (24/120)-1.3297000.017400 \tabularnewline Trim. Skewness (25/120)-0.1923000.496400 & Trim. Kurtosis (25/120)-1.3218000.019200 \tabularnewline Trim. Skewness (26/120)-0.1845000.522200 & Trim. Kurtosis (26/120)-1.3159000.021400 \tabularnewline Trim. Skewness (27/120)-0.1735000.555200 & Trim. Kurtosis (27/120)-1.3137000.023800 \tabularnewline Trim. Skewness (28/120)-0.1581000.596200 & Trim. Kurtosis (28/120)-1.3211000.025000 \tabularnewline Trim. Skewness (29/120)-0.1375000.645600 & Trim. Kurtosis (29/120)-1.3423000.025000 \tabularnewline Trim. Skewness (30/120)-0.1077000.726400 & Trim. Kurtosis (30/120)-1.3890000.022000 \tabularnewline Trim. Skewness (31/120)-0.1067000.726400 & Trim. Kurtosis (31/120)-1.3829000.025000 \tabularnewline Trim. Skewness (32/120)-0.1032000.741400 & Trim. Kurtosis (32/120)-1.3826000.027200 \tabularnewline Trim. Skewness (33/120)-0.1044000.741400 & Trim. Kurtosis (33/120)-1.3826000.030000 \tabularnewline Trim. Skewness (34/120)-0.1022000.756600 & Trim. Kurtosis (34/120)-1.3969000.031600 \tabularnewline Trim. Skewness (35/120)-0.0911000.779400 & Trim. Kurtosis (35/120)-1.4141000.032400 \tabularnewline Trim. Skewness (36/120)-0.0823000.810400 & Trim. Kurtosis (36/120)-1.4349000.033200 \tabularnewline Trim. Skewness (37/120)-0.0599000.857200 & Trim. Kurtosis (37/120)-1.4771000.031600 \tabularnewline Trim. Skewness (38/120)-0.0206000.952200 & Trim. Kurtosis (38/120)-1.5568000.026400 \tabularnewline Trim. Skewness (39/120)-0.0173000.960200 & Trim. Kurtosis (39/120)-1.5911000.025800 \tabularnewline Trim. Skewness (40/120)-0.0267000.936200 & Trim. Kurtosis (40/120)-1.5975000.028600 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102998&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]-0.412700[/C]0.061400[/C][C]Trim. Kurtosis (0/120)[/C]-0.411000[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.350300[/C]0.114200[/C][C]Trim. Kurtosis (1/120)[/C]-0.835500[/C]0.057400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.281000[/C]0.207600[/C][C]Trim. Kurtosis (2/120)[/C]-1.044700[/C]0.018800[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.268200[/C]0.234000[/C][C]Trim. Kurtosis (3/120)[/C]-1.085800[/C]0.015600[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.251900[/C]0.267000[/C][C]Trim. Kurtosis (4/120)[/C]-1.126500[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.248000[/C]0.280200[/C][C]Trim. Kurtosis (5/120)[/C]-1.144200[/C]0.012000[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.248000[/C]0.284600[/C][C]Trim. Kurtosis (6/120)[/C]-1.155000[/C]0.012000[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.247800[/C]0.289200[/C][C]Trim. Kurtosis (7/120)[/C]-1.171100[/C]0.011800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.247600[/C]0.293800[/C][C]Trim. Kurtosis (8/120)[/C]-1.191900[/C]0.011000[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.241000[/C]0.312400[/C][C]Trim. Kurtosis (9/120)[/C]-1.220800[/C]0.009800[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.230000[/C]0.337000[/C][C]Trim. Kurtosis (10/120)[/C]-1.248300[/C]0.009000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.219700[/C]0.362800[/C][C]Trim. Kurtosis (11/120)[/C]-1.276200[/C]0.008000[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.220600[/C]0.368200[/C][C]Trim. Kurtosis (12/120)[/C]-1.279700[/C]0.008600[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.220600[/C]0.373400[/C][C]Trim. Kurtosis (13/120)[/C]-1.288900[/C]0.008800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.220200[/C]0.378800[/C][C]Trim. Kurtosis (14/120)[/C]-1.290100[/C]0.009400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.217800[/C]0.389800[/C][C]Trim. Kurtosis (15/120)[/C]-1.297100[/C]0.009800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.213500[/C]0.400800[/C][C]Trim. Kurtosis (16/120)[/C]-1.301900[/C]0.010200[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.211500[/C]0.412200[/C][C]Trim. Kurtosis (17/120)[/C]-1.304500[/C]0.011000[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.210800[/C]0.418000[/C][C]Trim. Kurtosis (18/120)[/C]-1.307800[/C]0.011800[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.208700[/C]0.429600[/C][C]Trim. Kurtosis (19/120)[/C]-1.316500[/C]0.012000[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.209000[/C]0.435400[/C][C]Trim. Kurtosis (20/120)[/C]-1.324100[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.204100[/C]0.453200[/C][C]Trim. Kurtosis (21/120)[/C]-1.335600[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.194900[/C]0.477600[/C][C]Trim. Kurtosis (22/120)[/C]-1.348300[/C]0.013200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.197200[/C]0.477600[/C][C]Trim. Kurtosis (23/120)[/C]-1.338400[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.195100[/C]0.490200[/C][C]Trim. Kurtosis (24/120)[/C]-1.329700[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.192300[/C]0.496400[/C][C]Trim. Kurtosis (25/120)[/C]-1.321800[/C]0.019200[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.184500[/C]0.522200[/C][C]Trim. Kurtosis (26/120)[/C]-1.315900[/C]0.021400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.173500[/C]0.555200[/C][C]Trim. Kurtosis (27/120)[/C]-1.313700[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.158100[/C]0.596200[/C][C]Trim. Kurtosis (28/120)[/C]-1.321100[/C]0.025000[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.137500[/C]0.645600[/C][C]Trim. Kurtosis (29/120)[/C]-1.342300[/C]0.025000[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.107700[/C]0.726400[/C][C]Trim. Kurtosis (30/120)[/C]-1.389000[/C]0.022000[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.106700[/C]0.726400[/C][C]Trim. Kurtosis (31/120)[/C]-1.382900[/C]0.025000[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.103200[/C]0.741400[/C][C]Trim. Kurtosis (32/120)[/C]-1.382600[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.104400[/C]0.741400[/C][C]Trim. Kurtosis (33/120)[/C]-1.382600[/C]0.030000[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.102200[/C]0.756600[/C][C]Trim. Kurtosis (34/120)[/C]-1.396900[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.091100[/C]0.779400[/C][C]Trim. Kurtosis (35/120)[/C]-1.414100[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.082300[/C]0.810400[/C][C]Trim. Kurtosis (36/120)[/C]-1.434900[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.059900[/C]0.857200[/C][C]Trim. Kurtosis (37/120)[/C]-1.477100[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.020600[/C]0.952200[/C][C]Trim. Kurtosis (38/120)[/C]-1.556800[/C]0.026400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.017300[/C]0.960200[/C][C]Trim. Kurtosis (39/120)[/C]-1.591100[/C]0.025800[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.026700[/C]0.936200[/C][C]Trim. Kurtosis (40/120)[/C]-1.597500[/C]0.028600[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102998&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102998&T=1

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:

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.4127000.061400Trim. Kurtosis (0/120)-0.4110000.347200
Trim. Skewness (1/120)-0.3503000.114200Trim. Kurtosis (1/120)-0.8355000.057400
Trim. Skewness (2/120)-0.2810000.207600Trim. Kurtosis (2/120)-1.0447000.018800
Trim. Skewness (3/120)-0.2682000.234000Trim. Kurtosis (3/120)-1.0858000.015600
Trim. Skewness (4/120)-0.2519000.267000Trim. Kurtosis (4/120)-1.1265000.012800
Trim. Skewness (5/120)-0.2480000.280200Trim. Kurtosis (5/120)-1.1442000.012000
Trim. Skewness (6/120)-0.2480000.284600Trim. Kurtosis (6/120)-1.1550000.012000
Trim. Skewness (7/120)-0.2478000.289200Trim. Kurtosis (7/120)-1.1711000.011800
Trim. Skewness (8/120)-0.2476000.293800Trim. Kurtosis (8/120)-1.1919000.011000
Trim. Skewness (9/120)-0.2410000.312400Trim. Kurtosis (9/120)-1.2208000.009800
Trim. Skewness (10/120)-0.2300000.337000Trim. Kurtosis (10/120)-1.2483000.009000
Trim. Skewness (11/120)-0.2197000.362800Trim. Kurtosis (11/120)-1.2762000.008000
Trim. Skewness (12/120)-0.2206000.368200Trim. Kurtosis (12/120)-1.2797000.008600
Trim. Skewness (13/120)-0.2206000.373400Trim. Kurtosis (13/120)-1.2889000.008800
Trim. Skewness (14/120)-0.2202000.378800Trim. Kurtosis (14/120)-1.2901000.009400
Trim. Skewness (15/120)-0.2178000.389800Trim. Kurtosis (15/120)-1.2971000.009800
Trim. Skewness (16/120)-0.2135000.400800Trim. Kurtosis (16/120)-1.3019000.010200
Trim. Skewness (17/120)-0.2115000.412200Trim. Kurtosis (17/120)-1.3045000.011000
Trim. Skewness (18/120)-0.2108000.418000Trim. Kurtosis (18/120)-1.3078000.011800
Trim. Skewness (19/120)-0.2087000.429600Trim. Kurtosis (19/120)-1.3165000.012000
Trim. Skewness (20/120)-0.2090000.435400Trim. Kurtosis (20/120)-1.3241000.012800
Trim. Skewness (21/120)-0.2041000.453200Trim. Kurtosis (21/120)-1.3356000.012800
Trim. Skewness (22/120)-0.1949000.477600Trim. Kurtosis (22/120)-1.3483000.013200
Trim. Skewness (23/120)-0.1972000.477600Trim. Kurtosis (23/120)-1.3384000.015000
Trim. Skewness (24/120)-0.1951000.490200Trim. Kurtosis (24/120)-1.3297000.017400
Trim. Skewness (25/120)-0.1923000.496400Trim. Kurtosis (25/120)-1.3218000.019200
Trim. Skewness (26/120)-0.1845000.522200Trim. Kurtosis (26/120)-1.3159000.021400
Trim. Skewness (27/120)-0.1735000.555200Trim. Kurtosis (27/120)-1.3137000.023800
Trim. Skewness (28/120)-0.1581000.596200Trim. Kurtosis (28/120)-1.3211000.025000
Trim. Skewness (29/120)-0.1375000.645600Trim. Kurtosis (29/120)-1.3423000.025000
Trim. Skewness (30/120)-0.1077000.726400Trim. Kurtosis (30/120)-1.3890000.022000
Trim. Skewness (31/120)-0.1067000.726400Trim. Kurtosis (31/120)-1.3829000.025000
Trim. Skewness (32/120)-0.1032000.741400Trim. Kurtosis (32/120)-1.3826000.027200
Trim. Skewness (33/120)-0.1044000.741400Trim. Kurtosis (33/120)-1.3826000.030000
Trim. Skewness (34/120)-0.1022000.756600Trim. Kurtosis (34/120)-1.3969000.031600
Trim. Skewness (35/120)-0.0911000.779400Trim. Kurtosis (35/120)-1.4141000.032400
Trim. Skewness (36/120)-0.0823000.810400Trim. Kurtosis (36/120)-1.4349000.033200
Trim. Skewness (37/120)-0.0599000.857200Trim. Kurtosis (37/120)-1.4771000.031600
Trim. Skewness (38/120)-0.0206000.952200Trim. Kurtosis (38/120)-1.5568000.026400
Trim. Skewness (39/120)-0.0173000.960200Trim. Kurtosis (39/120)-1.5911000.025800
Trim. Skewness (40/120)-0.0267000.936200Trim. Kurtosis (40/120)-1.5975000.028600


Figures (Output of Computation)

Input Parameters & R Code

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