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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 18:13:28 +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/t129105428207ntpy6yr2e2iq5.htm/, Retrieved Mon, 29 Apr 2024 14:42:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103012, Retrieved Mon, 29 Apr 2024 14:42:07 +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] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D            [Skewness and Kurtosis] [] [2010-11-29 17:45:30] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D              [Skewness and Kurtosis] [] [2010-11-29 17:46:57] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                [Skewness and Kurtosis] [] [2010-11-29 17:48:57] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                  [Skewness and Kurtosis] [] [2010-11-29 17:58:21] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                    [Skewness and Kurtosis] [] [2010-11-29 18:00:24] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                      [Skewness and Kurtosis] [] [2010-11-29 18:02:07] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                        [Skewness and Kurtosis] [] [2010-11-29 18:03:42] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                          [Skewness and Kurtosis] [] [2010-11-29 18:05:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                            [Skewness and Kurtosis] [] [2010-11-29 18:07:05] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                              [Skewness and Kurtosis] [] [2010-11-29 18:08:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                [Skewness and Kurtosis] [] [2010-11-29 18:10:34] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                  [Skewness and Kurtosis] [] [2010-11-29 18:11:36] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                      [Skewness and Kurtosis] [] [2010-11-29 18:13:28] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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 
622.3077824
677.1742475
711.4585885
522.6452604
591.4251758
626.23306
746.9490104
720.0397978
669.1614683
705.1213145
763.4769389
693.5878373
731.1082855
637.4215418
682.2091614
539.5159108
684.8854523
781.5938142
636.1407282
521.4868018
841.2049916
781.5014285
537.6100521
618.8031772
631.1818945
624.8958353
518.6051768
702.024397
672.1896399
792.0233413
543.7047861
608.8222543
750.4810034
733.0538785
644.048981
729.1095495
596.2030486
707.1376867
620.304609
688.2705957
564.6504457
721.477058
614.7365928
586.1060718
735.0517421
744.9607867
761.3261524
606.454471
499.4397484
629.1296942
761.7725003
541.2189834
706.6027936
556.1969856
648.6965253
788.0268145
658.5013991
744.131494
680.0897055
617.0083873
604.2960792
488.3944046
694.4693216
584.9980747
564.2313924
670.7410567
635.1554351
701.9131346
628.3523585
719.66853
592.2574883
683.8314238
684.3365215
768.7997417
636.036146
660.2442879
644.6949427
569.6253969
630.3125253
709.0478463
508.8600901
737.4269107
712.1220221
718.7078341
734.7171166
712.7310327
741.1586651
688.2440453
707.3248113
457.1300298
726.5284195
478.6895092
645.4997106
737.919512
521.0933712
636.7474779
510.0919386
781.6501128
679.8842472
573.9357398
621.916761
564.21712
599.8944502
517.890048
534.5865994
641.1961282
761.2639463
622.1691258
505.6611331
533.6747843
604.5121937
502.9855301
805.5087298
597.6280478
562.9610769
606.7769174
317.5633863
842.4791903
505.383208
657.7260564

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-296516.851132FISHER 4th Cent. Mom.2.23511e+8
FISHER beta 10.150820FISHER beta 23.202871
FISHER gamma 1-0.388355FISHER gamma 20.202871
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.736777FISHER Test 20.453633
FISHER Test 1 Probability0.081800FISHER Test 2 Probability0.645600
Pearson 20.063717
Yule using Quartile definition:Weighted Average at Xnp0.079709
Yule using Quartile definition:Weighted Average at X(n+1)p0.122560
Yule using Quartile definition:Empirical Distribution Function0.079709
Yule using Quartile definition:Empirical Distribution Function - Averaging0.123991
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.125487
Yule using Quartile definition:Closest Observation0.079709
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.125487
Yule using Quartile definition:MS Excel (old versions)0.121190
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.393289Kurtosis (small sample)0.263301
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.780565TEST 1 (small sample)0.600691
TEST 1 Prob. (small sample)0.073400TEST 1 Prob. (small sample)0.541800
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-296516.851132 & FISHER 4th Cent. Mom.2.23511e+8 \tabularnewline FISHER beta 10.150820 & FISHER beta 23.202871 \tabularnewline FISHER gamma 1-0.388355 & FISHER gamma 20.202871 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-1.736777 & FISHER Test 20.453633 \tabularnewline FISHER Test 1 Probability0.081800 & FISHER Test 2 Probability0.645600 \tabularnewline Pearson 20.063717 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.079709 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.122560 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.079709 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.123991 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.125487 & & \tabularnewline Yule using Quartile definition:Closest Observation0.079709 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.125487 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.121190 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.393289 & Kurtosis (small sample)0.263301 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-1.780565 & TEST 1 (small sample)0.600691 \tabularnewline TEST 1 Prob. (small sample)0.073400 & TEST 1 Prob. (small sample)0.541800 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103012&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]-296516.851132[/C][C]FISHER 4th Cent. Mom.[/C]2.23511e+8[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.150820[/C][C]FISHER beta 2[/C]3.202871[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.388355[/C][C]FISHER gamma 2[/C]0.202871[/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]-1.736777[/C][C]FISHER Test 2[/C]0.453633[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.081800[/C][C]FISHER Test 2 Probability[/C]0.645600[/C][/ROW] [ROW][C]Pearson 2[/C]0.063717[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.079709[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.122560[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.079709[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.123991[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.125487[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.079709[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.125487[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.121190[/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]-0.393289[/C][C]Kurtosis (small sample)[/C]0.263301[/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]-1.780565[/C][C]TEST 1 (small sample)[/C]0.600691[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.073400[/C][C]TEST 1 Prob. (small sample)[/C]0.541800[/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=103012&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103012&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.-296516.851132FISHER 4th Cent. Mom.2.23511e+8
FISHER beta 10.150820FISHER beta 23.202871
FISHER gamma 1-0.388355FISHER gamma 20.202871
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.736777FISHER Test 20.453633
FISHER Test 1 Probability0.081800FISHER Test 2 Probability0.645600
Pearson 20.063717
Yule using Quartile definition:Weighted Average at Xnp0.079709
Yule using Quartile definition:Weighted Average at X(n+1)p0.122560
Yule using Quartile definition:Empirical Distribution Function0.079709
Yule using Quartile definition:Empirical Distribution Function - Averaging0.123991
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.125487
Yule using Quartile definition:Closest Observation0.079709
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.125487
Yule using Quartile definition:MS Excel (old versions)0.121190
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.393289Kurtosis (small sample)0.263301
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.780565TEST 1 (small sample)0.600691
TEST 1 Prob. (small sample)0.073400TEST 1 Prob. (small sample)0.541800
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.3933000.073400Trim. Kurtosis (0/120)0.2633000.541800
Trim. Skewness (1/120)-0.1457000.509200Trim. Kurtosis (1/120)-0.7744000.078400
Trim. Skewness (2/120)-0.1703000.447200Trim. Kurtosis (2/120)-0.9049000.041400
Trim. Skewness (3/120)-0.1765000.435400Trim. Kurtosis (3/120)-0.9381000.036600
Trim. Skewness (4/120)-0.1789000.429600Trim. Kurtosis (4/120)-0.9503000.035800
Trim. Skewness (5/120)-0.1877000.412200Trim. Kurtosis (5/120)-0.9502000.037600
Trim. Skewness (6/120)-0.1942000.400800Trim. Kurtosis (6/120)-0.9457000.039400
Trim. Skewness (7/120)-0.2035000.384400Trim. Kurtosis (7/120)-0.9458000.041400
Trim. Skewness (8/120)-0.2142000.362800Trim. Kurtosis (8/120)-0.9569000.041400
Trim. Skewness (9/120)-0.2148000.368200Trim. Kurtosis (9/120)-0.9569000.043400
Trim. Skewness (10/120)-0.2100000.384400Trim. Kurtosis (10/120)-0.9595000.044400
Trim. Skewness (11/120)-0.2108000.384400Trim. Kurtosis (11/120)-0.9530000.047800
Trim. Skewness (12/120)-0.2108000.389800Trim. Kurtosis (12/120)-0.9545000.050000
Trim. Skewness (13/120)-0.2128000.389800Trim. Kurtosis (13/120)-0.9630000.050000
Trim. Skewness (14/120)-0.2002000.423800Trim. Kurtosis (14/120)-0.9727000.050000
Trim. Skewness (15/120)-0.1802000.477600Trim. Kurtosis (15/120)-0.9928000.047800
Trim. Skewness (16/120)-0.1707000.502800Trim. Kurtosis (16/120)-0.9899000.051200
Trim. Skewness (17/120)-0.1576000.541800Trim. Kurtosis (17/120)-0.9964000.052400
Trim. Skewness (18/120)-0.1412000.589200Trim. Kurtosis (18/120)-1.0051000.052400
Trim. Skewness (19/120)-0.1180000.652800Trim. Kurtosis (19/120)-1.0212000.051200
Trim. Skewness (20/120)-0.0896000.733800Trim. Kurtosis (20/120)-1.0529000.047800
Trim. Skewness (21/120)-0.0535000.841400Trim. Kurtosis (21/120)-1.0993000.040400
Trim. Skewness (22/120)-0.0378000.888600Trim. Kurtosis (22/120)-1.1119000.040400
Trim. Skewness (23/120)-0.0296000.912400Trim. Kurtosis (23/120)-1.1128000.043400
Trim. Skewness (24/120)-0.0175000.944200Trim. Kurtosis (24/120)-1.1207000.044400
Trim. Skewness (25/120)0.0033000.984000Trim. Kurtosis (25/120)-1.1454000.042400
Trim. Skewness (26/120)0.0367000.896600Trim. Kurtosis (26/120)-1.1930000.037600
Trim. Skewness (27/120)0.0754000.794800Trim. Kurtosis (27/120)-1.2318000.034000
Trim. Skewness (28/120)0.1146000.696600Trim. Kurtosis (28/120)-1.2727000.030800
Trim. Skewness (29/120)0.1285000.667200Trim. Kurtosis (29/120)-1.2809000.032400
Trim. Skewness (30/120)0.1450000.638400Trim. Kurtosis (30/120)-1.3010000.032400
Trim. Skewness (31/120)0.1636000.596200Trim. Kurtosis (31/120)-1.2942000.035800
Trim. Skewness (32/120)0.1858000.555200Trim. Kurtosis (32/120)-1.2950000.038400
Trim. Skewness (33/120)0.2013000.528600Trim. Kurtosis (33/120)-1.2922000.042400
Trim. Skewness (34/120)0.2222000.496400Trim. Kurtosis (34/120)-1.2879000.046600
Trim. Skewness (35/120)0.2444000.465400Trim. Kurtosis (35/120)-1.2813000.052400
Trim. Skewness (36/120)0.2537000.459200Trim. Kurtosis (36/120)-1.2730000.058800
Trim. Skewness (37/120)0.2635000.447200Trim. Kurtosis (37/120)-1.2831000.061400
Trim. Skewness (38/120)0.2698000.447200Trim. Kurtosis (38/120)-1.3060000.061400
Trim. Skewness (39/120)0.2893000.423800Trim. Kurtosis (39/120)-1.3389000.061400
Trim. Skewness (40/120)0.2968000.423800Trim. Kurtosis (40/120)-1.4244000.051200

\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)-0.3933000.073400 & Trim. Kurtosis (0/120)0.2633000.541800 \tabularnewline Trim. Skewness (1/120)-0.1457000.509200 & Trim. Kurtosis (1/120)-0.7744000.078400 \tabularnewline Trim. Skewness (2/120)-0.1703000.447200 & Trim. Kurtosis (2/120)-0.9049000.041400 \tabularnewline Trim. Skewness (3/120)-0.1765000.435400 & Trim. Kurtosis (3/120)-0.9381000.036600 \tabularnewline Trim. Skewness (4/120)-0.1789000.429600 & Trim. Kurtosis (4/120)-0.9503000.035800 \tabularnewline Trim. Skewness (5/120)-0.1877000.412200 & Trim. Kurtosis (5/120)-0.9502000.037600 \tabularnewline Trim. Skewness (6/120)-0.1942000.400800 & Trim. Kurtosis (6/120)-0.9457000.039400 \tabularnewline Trim. Skewness (7/120)-0.2035000.384400 & Trim. Kurtosis (7/120)-0.9458000.041400 \tabularnewline Trim. Skewness (8/120)-0.2142000.362800 & Trim. Kurtosis (8/120)-0.9569000.041400 \tabularnewline Trim. Skewness (9/120)-0.2148000.368200 & Trim. Kurtosis (9/120)-0.9569000.043400 \tabularnewline Trim. Skewness (10/120)-0.2100000.384400 & Trim. Kurtosis (10/120)-0.9595000.044400 \tabularnewline Trim. Skewness (11/120)-0.2108000.384400 & Trim. Kurtosis (11/120)-0.9530000.047800 \tabularnewline Trim. Skewness (12/120)-0.2108000.389800 & Trim. Kurtosis (12/120)-0.9545000.050000 \tabularnewline Trim. Skewness (13/120)-0.2128000.389800 & Trim. Kurtosis (13/120)-0.9630000.050000 \tabularnewline Trim. Skewness (14/120)-0.2002000.423800 & Trim. Kurtosis (14/120)-0.9727000.050000 \tabularnewline Trim. Skewness (15/120)-0.1802000.477600 & Trim. Kurtosis (15/120)-0.9928000.047800 \tabularnewline Trim. Skewness (16/120)-0.1707000.502800 & Trim. Kurtosis (16/120)-0.9899000.051200 \tabularnewline Trim. Skewness (17/120)-0.1576000.541800 & Trim. Kurtosis (17/120)-0.9964000.052400 \tabularnewline Trim. Skewness (18/120)-0.1412000.589200 & Trim. Kurtosis (18/120)-1.0051000.052400 \tabularnewline Trim. Skewness (19/120)-0.1180000.652800 & Trim. Kurtosis (19/120)-1.0212000.051200 \tabularnewline Trim. Skewness (20/120)-0.0896000.733800 & Trim. Kurtosis (20/120)-1.0529000.047800 \tabularnewline Trim. Skewness (21/120)-0.0535000.841400 & Trim. Kurtosis (21/120)-1.0993000.040400 \tabularnewline Trim. Skewness (22/120)-0.0378000.888600 & Trim. Kurtosis (22/120)-1.1119000.040400 \tabularnewline Trim. Skewness (23/120)-0.0296000.912400 & Trim. Kurtosis (23/120)-1.1128000.043400 \tabularnewline Trim. Skewness (24/120)-0.0175000.944200 & Trim. Kurtosis (24/120)-1.1207000.044400 \tabularnewline Trim. Skewness (25/120)0.0033000.984000 & Trim. Kurtosis (25/120)-1.1454000.042400 \tabularnewline Trim. Skewness (26/120)0.0367000.896600 & Trim. Kurtosis (26/120)-1.1930000.037600 \tabularnewline Trim. Skewness (27/120)0.0754000.794800 & Trim. Kurtosis (27/120)-1.2318000.034000 \tabularnewline Trim. Skewness (28/120)0.1146000.696600 & Trim. Kurtosis (28/120)-1.2727000.030800 \tabularnewline Trim. Skewness (29/120)0.1285000.667200 & Trim. Kurtosis (29/120)-1.2809000.032400 \tabularnewline Trim. Skewness (30/120)0.1450000.638400 & Trim. Kurtosis (30/120)-1.3010000.032400 \tabularnewline Trim. Skewness (31/120)0.1636000.596200 & Trim. Kurtosis (31/120)-1.2942000.035800 \tabularnewline Trim. Skewness (32/120)0.1858000.555200 & Trim. Kurtosis (32/120)-1.2950000.038400 \tabularnewline Trim. Skewness (33/120)0.2013000.528600 & Trim. Kurtosis (33/120)-1.2922000.042400 \tabularnewline Trim. Skewness (34/120)0.2222000.496400 & Trim. Kurtosis (34/120)-1.2879000.046600 \tabularnewline Trim. Skewness (35/120)0.2444000.465400 & Trim. Kurtosis (35/120)-1.2813000.052400 \tabularnewline Trim. Skewness (36/120)0.2537000.459200 & Trim. Kurtosis (36/120)-1.2730000.058800 \tabularnewline Trim. Skewness (37/120)0.2635000.447200 & Trim. Kurtosis (37/120)-1.2831000.061400 \tabularnewline Trim. Skewness (38/120)0.2698000.447200 & Trim. Kurtosis (38/120)-1.3060000.061400 \tabularnewline Trim. Skewness (39/120)0.2893000.423800 & Trim. Kurtosis (39/120)-1.3389000.061400 \tabularnewline Trim. Skewness (40/120)0.2968000.423800 & Trim. Kurtosis (40/120)-1.4244000.051200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103012&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]-0.393300[/C]0.073400[/C][C]Trim. Kurtosis (0/120)[/C]0.263300[/C]0.541800[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.145700[/C]0.509200[/C][C]Trim. Kurtosis (1/120)[/C]-0.774400[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.170300[/C]0.447200[/C][C]Trim. Kurtosis (2/120)[/C]-0.904900[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.176500[/C]0.435400[/C][C]Trim. Kurtosis (3/120)[/C]-0.938100[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.178900[/C]0.429600[/C][C]Trim. Kurtosis (4/120)[/C]-0.950300[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.187700[/C]0.412200[/C][C]Trim. Kurtosis (5/120)[/C]-0.950200[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.194200[/C]0.400800[/C][C]Trim. Kurtosis (6/120)[/C]-0.945700[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.203500[/C]0.384400[/C][C]Trim. Kurtosis (7/120)[/C]-0.945800[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.214200[/C]0.362800[/C][C]Trim. Kurtosis (8/120)[/C]-0.956900[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.214800[/C]0.368200[/C][C]Trim. Kurtosis (9/120)[/C]-0.956900[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.210000[/C]0.384400[/C][C]Trim. Kurtosis (10/120)[/C]-0.959500[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.210800[/C]0.384400[/C][C]Trim. Kurtosis (11/120)[/C]-0.953000[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.210800[/C]0.389800[/C][C]Trim. Kurtosis (12/120)[/C]-0.954500[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.212800[/C]0.389800[/C][C]Trim. Kurtosis (13/120)[/C]-0.963000[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.200200[/C]0.423800[/C][C]Trim. Kurtosis (14/120)[/C]-0.972700[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.180200[/C]0.477600[/C][C]Trim. Kurtosis (15/120)[/C]-0.992800[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.170700[/C]0.502800[/C][C]Trim. Kurtosis (16/120)[/C]-0.989900[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.157600[/C]0.541800[/C][C]Trim. Kurtosis (17/120)[/C]-0.996400[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.141200[/C]0.589200[/C][C]Trim. Kurtosis (18/120)[/C]-1.005100[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.118000[/C]0.652800[/C][C]Trim. Kurtosis (19/120)[/C]-1.021200[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.089600[/C]0.733800[/C][C]Trim. Kurtosis (20/120)[/C]-1.052900[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.053500[/C]0.841400[/C][C]Trim. Kurtosis (21/120)[/C]-1.099300[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.037800[/C]0.888600[/C][C]Trim. Kurtosis (22/120)[/C]-1.111900[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.029600[/C]0.912400[/C][C]Trim. Kurtosis (23/120)[/C]-1.112800[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.017500[/C]0.944200[/C][C]Trim. Kurtosis (24/120)[/C]-1.120700[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.003300[/C]0.984000[/C][C]Trim. Kurtosis (25/120)[/C]-1.145400[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.036700[/C]0.896600[/C][C]Trim. Kurtosis (26/120)[/C]-1.193000[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.075400[/C]0.794800[/C][C]Trim. Kurtosis (27/120)[/C]-1.231800[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.114600[/C]0.696600[/C][C]Trim. Kurtosis (28/120)[/C]-1.272700[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.128500[/C]0.667200[/C][C]Trim. Kurtosis (29/120)[/C]-1.280900[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.145000[/C]0.638400[/C][C]Trim. Kurtosis (30/120)[/C]-1.301000[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.163600[/C]0.596200[/C][C]Trim. Kurtosis (31/120)[/C]-1.294200[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.185800[/C]0.555200[/C][C]Trim. Kurtosis (32/120)[/C]-1.295000[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.201300[/C]0.528600[/C][C]Trim. Kurtosis (33/120)[/C]-1.292200[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.222200[/C]0.496400[/C][C]Trim. Kurtosis (34/120)[/C]-1.287900[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.244400[/C]0.465400[/C][C]Trim. Kurtosis (35/120)[/C]-1.281300[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.253700[/C]0.459200[/C][C]Trim. Kurtosis (36/120)[/C]-1.273000[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.263500[/C]0.447200[/C][C]Trim. Kurtosis (37/120)[/C]-1.283100[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.269800[/C]0.447200[/C][C]Trim. Kurtosis (38/120)[/C]-1.306000[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.289300[/C]0.423800[/C][C]Trim. Kurtosis (39/120)[/C]-1.338900[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.296800[/C]0.423800[/C][C]Trim. Kurtosis (40/120)[/C]-1.424400[/C]0.051200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103012&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103012&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)-0.3933000.073400Trim. Kurtosis (0/120)0.2633000.541800
Trim. Skewness (1/120)-0.1457000.509200Trim. Kurtosis (1/120)-0.7744000.078400
Trim. Skewness (2/120)-0.1703000.447200Trim. Kurtosis (2/120)-0.9049000.041400
Trim. Skewness (3/120)-0.1765000.435400Trim. Kurtosis (3/120)-0.9381000.036600
Trim. Skewness (4/120)-0.1789000.429600Trim. Kurtosis (4/120)-0.9503000.035800
Trim. Skewness (5/120)-0.1877000.412200Trim. Kurtosis (5/120)-0.9502000.037600
Trim. Skewness (6/120)-0.1942000.400800Trim. Kurtosis (6/120)-0.9457000.039400
Trim. Skewness (7/120)-0.2035000.384400Trim. Kurtosis (7/120)-0.9458000.041400
Trim. Skewness (8/120)-0.2142000.362800Trim. Kurtosis (8/120)-0.9569000.041400
Trim. Skewness (9/120)-0.2148000.368200Trim. Kurtosis (9/120)-0.9569000.043400
Trim. Skewness (10/120)-0.2100000.384400Trim. Kurtosis (10/120)-0.9595000.044400
Trim. Skewness (11/120)-0.2108000.384400Trim. Kurtosis (11/120)-0.9530000.047800
Trim. Skewness (12/120)-0.2108000.389800Trim. Kurtosis (12/120)-0.9545000.050000
Trim. Skewness (13/120)-0.2128000.389800Trim. Kurtosis (13/120)-0.9630000.050000
Trim. Skewness (14/120)-0.2002000.423800Trim. Kurtosis (14/120)-0.9727000.050000
Trim. Skewness (15/120)-0.1802000.477600Trim. Kurtosis (15/120)-0.9928000.047800
Trim. Skewness (16/120)-0.1707000.502800Trim. Kurtosis (16/120)-0.9899000.051200
Trim. Skewness (17/120)-0.1576000.541800Trim. Kurtosis (17/120)-0.9964000.052400
Trim. Skewness (18/120)-0.1412000.589200Trim. Kurtosis (18/120)-1.0051000.052400
Trim. Skewness (19/120)-0.1180000.652800Trim. Kurtosis (19/120)-1.0212000.051200
Trim. Skewness (20/120)-0.0896000.733800Trim. Kurtosis (20/120)-1.0529000.047800
Trim. Skewness (21/120)-0.0535000.841400Trim. Kurtosis (21/120)-1.0993000.040400
Trim. Skewness (22/120)-0.0378000.888600Trim. Kurtosis (22/120)-1.1119000.040400
Trim. Skewness (23/120)-0.0296000.912400Trim. Kurtosis (23/120)-1.1128000.043400
Trim. Skewness (24/120)-0.0175000.944200Trim. Kurtosis (24/120)-1.1207000.044400
Trim. Skewness (25/120)0.0033000.984000Trim. Kurtosis (25/120)-1.1454000.042400
Trim. Skewness (26/120)0.0367000.896600Trim. Kurtosis (26/120)-1.1930000.037600
Trim. Skewness (27/120)0.0754000.794800Trim. Kurtosis (27/120)-1.2318000.034000
Trim. Skewness (28/120)0.1146000.696600Trim. Kurtosis (28/120)-1.2727000.030800
Trim. Skewness (29/120)0.1285000.667200Trim. Kurtosis (29/120)-1.2809000.032400
Trim. Skewness (30/120)0.1450000.638400Trim. Kurtosis (30/120)-1.3010000.032400
Trim. Skewness (31/120)0.1636000.596200Trim. Kurtosis (31/120)-1.2942000.035800
Trim. Skewness (32/120)0.1858000.555200Trim. Kurtosis (32/120)-1.2950000.038400
Trim. Skewness (33/120)0.2013000.528600Trim. Kurtosis (33/120)-1.2922000.042400
Trim. Skewness (34/120)0.2222000.496400Trim. Kurtosis (34/120)-1.2879000.046600
Trim. Skewness (35/120)0.2444000.465400Trim. Kurtosis (35/120)-1.2813000.052400
Trim. Skewness (36/120)0.2537000.459200Trim. Kurtosis (36/120)-1.2730000.058800
Trim. Skewness (37/120)0.2635000.447200Trim. Kurtosis (37/120)-1.2831000.061400
Trim. Skewness (38/120)0.2698000.447200Trim. Kurtosis (38/120)-1.3060000.061400
Trim. Skewness (39/120)0.2893000.423800Trim. Kurtosis (39/120)-1.3389000.061400
Trim. Skewness (40/120)0.2968000.423800Trim. Kurtosis (40/120)-1.4244000.051200


Figures (Output of Computation)

Input Parameters & R Code

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