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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 18:31:43 +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/t1291055392orws6li3oa5qcor.htm/, Retrieved Mon, 29 Apr 2024 12:29:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103024, Retrieved Mon, 29 Apr 2024 12:29:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120

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] [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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
493.13
496.69
508.54
519.57
524.33
527.75
536.44
529.28
526.64
518.44
518.89
534.74
512.57
515.54
520.71
521.53
536.54
550.91
547
539.11
544.68
536.49
528.77
540.14
540.73
548.48
546.83
540.39
532.8
536.46
538.23
545.95
535.41
523.77
530.78
524.48
524.55
527.39
523.19
545.87
546.29
537.78
528.57
513.44
510.62
503.53
502.34
499.93
511.08
512.63
496.06
496.37
498.21
497.22
497.59
499.92
504.84
503.82
493.51
505.63
505.51
499.65
505.18
504.04
517.94
524.61
514.94
510.86
503.34
506.44
507.96
500.44
517.46
526.5
529.3
518.42
514.8
516.22
513.48
520.15
516.91
512.01
513.71
520.06
526.84
528.94
525.37
520
507.05
495.5
491.62
486.97
484.26
478.68
474.41
489.67
469.16
461.58
465.04
462.99
466.77
456.67
464.74
475.36
474.65
460.42
458.36
447.55
446.76
444.16
435.69
433.39
439.33
457.58
453.53
449.18
446.05
455.37
449.19
445.41
448.31
431.52
429.06
446.17
441.72
446.01
431.9
430.78
424.24
414.89
428.54
416.99
411.03
409.01
406.77
405.24
414.51
404.13
384.88
391.93
396.17
395.81
400.04
412.21
412.76
404.53
408.76
415.03
411.03
408.53
405.72
408.6
414.72
405.39
409.91
425.17
443.6
446.11
445.87
436.75
435.84
431.71
434.61
433.69
438.44
445.71
453.74
449.22
444.52
451.96
437.12
435.56
438.69
449.03
465.95
462.32
463.83
464.39
468.74
458.43
460.2
452.08
449.3
460.57
458.99
455.77
460.12
454.7
453.25
448.28
456.77
455.41
451.32
456.39
454.72
460.57
466.85
471.27
475.46
463.74
450.45
449.09
447.23
449.55
444.45
455.99
461.27
452.31
457.4
458.14
449.29
447.35
449.17
457.09
465.83
465.67
456.72
461.32
468.53
481.8
483.85
485.93
483.25
491.72
486.32
492.33
489.33
477.84
478.46
476.39
479.02
474.09
483.42
487.12
488.83
480.56
477.38
476.18
472.83
467.01
475.71
475.84
476.43
469.7
472.88
466.5
463.67
467.49
469.97
469
467.04
465.06
474.42
469.09
471.94
475.38
483.77
482.36
482.51
476.51
472.63
454.37
456.83
452.23
452.78
458.72
456.13
462.78
460.23
460.53
458.93
462.55
466.49
467.12
464.61
471.12
468.8
462.32
457.79
459.79
469.61
473.02
472.25
473.53
472.24
485.27
488.5
487.99
473.3
473.55
469.63
461.34
457.9
465.52
463.42
471.75
475.05
479.31
471.33
473.68
474.3
471.99
469.17
473.66
482.45
476.25
479.27
478.77
475.54
469.11
464.71
465.57
465.45
468.6
473.02
475.6
472.77
476.58
471.28
475.88
472.38
474
471.51
483.45
486.44
487.31
484.06
499.02
502.84
506.48
498.67
492.94
494.13
498.41
500.39
505.61
503.84
501.12
509.62
498.9
504.86
504.13
498.08
497.53
492.3
491.71
490.86
493.02
486.61
478.84
480.63
483.17
481.42
488.26
489.98
490.44
487.24
481.75
473.66
488.36
486.37
481.8
488.74
494.03
502.49
503.19
500.81
497.59
512.5
504.73
497.18
495.89
506.77
502.24
501.16
505.41
505.51
509.36
514.65
520.53
516.55
516
530.96
529.89
530.91
546.59
539.27
543.54
536.87
533.94
523.74
524.26
512.6
502.28
510.88
499.08
500.92
500.13
487.63
495.19
494.33
505.62
502.16
504.28
501.71
490.5
479.13
477.71
487.81
492.14
492.03
496.48
492.8
495.72
487.55
476.08
489.34
490.14
497.44
508.41
502.14
505.61
492.95
495.86
499.93
490.21
488.18
487
484.3
498.06
498.73
499.15
501.13
495.28
497.2
495.66
498.89
500.09
506.02
505.97
495.19
493.99
498.85
501.11
496.68
493.82
481.71
487.43
487.37
486.88
495.89
496.33
475.01
479.82
478.62
461.83
452.51
451.93
458.56
459.33
463.39
455.18
457.93
452.22
455.35
444.16
437.42
436.3
430.32
440.12
431.69
428.34
426.29
417.55
413.02
407.82
413.48
402.35
410.58
420.23
420.11
414.58
414.98
411.64
421.73
428.91
429.07
432.25
423.27
425.67
420.9
414.13
407.6
408.79
409.04
414.57
416.14
418.41
418.49
410.89

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-10051.169475FISHER 4th Cent. Mom.3.76454e+6
FISHER beta 10.057470FISHER beta 22.584547
FISHER gamma 1-0.239729FISHER gamma 2-0.415453
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-2.188417FISHER Test 2-1.896276
FISHER Test 1 Probability0.028600FISHER Test 2 Probability0.057400
Pearson 2-0.028772
Yule using Quartile definition:Weighted Average at Xnp0.041047
Yule using Quartile definition:Weighted Average at X(n+1)p0.047146
Yule using Quartile definition:Empirical Distribution Function0.041047
Yule using Quartile definition:Empirical Distribution Function - Averaging0.045429
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.043705
Yule using Quartile definition:Closest Observation0.041047
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.043705
Yule using Quartile definition:MS Excel (old versions)0.048856
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.240451Kurtosis (small sample)-0.407541
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-2.201574TEST 1 (small sample)-1.869403
TEST 1 Prob. (small sample)0.027200TEST 1 Prob. (small sample)0.061400
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-10051.169475 & FISHER 4th Cent. Mom.3.76454e+6 \tabularnewline FISHER beta 10.057470 & FISHER beta 22.584547 \tabularnewline FISHER gamma 1-0.239729 & FISHER gamma 2-0.415453 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-2.188417 & FISHER Test 2-1.896276 \tabularnewline FISHER Test 1 Probability0.028600 & FISHER Test 2 Probability0.057400 \tabularnewline Pearson 2-0.028772 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.041047 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.047146 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.041047 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.045429 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.043705 & & \tabularnewline Yule using Quartile definition:Closest Observation0.041047 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.043705 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.048856 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.240451 & Kurtosis (small sample)-0.407541 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-2.201574 & TEST 1 (small sample)-1.869403 \tabularnewline TEST 1 Prob. (small sample)0.027200 & TEST 1 Prob. (small sample)0.061400 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103024&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]-10051.169475[/C][C]FISHER 4th Cent. Mom.[/C]3.76454e+6[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.057470[/C][C]FISHER beta 2[/C]2.584547[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.239729[/C][C]FISHER gamma 2[/C]-0.415453[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.109545[/C][C]FISHER gamma 2 (S.E.)[/C]0.219089[/C][/ROW] [ROW][C]FISHER Test 1[/C]-2.188417[/C][C]FISHER Test 2[/C]-1.896276[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.028600[/C][C]FISHER Test 2 Probability[/C]0.057400[/C][/ROW] [ROW][C]Pearson 2[/C]-0.028772[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.041047[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.047146[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.041047[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.045429[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.043705[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.041047[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.043705[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.048856[/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]-0.240451[/C][C]Kurtosis (small sample)[/C]-0.407541[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.109218[/C][C]Kurtosis S.E. (small sample)[/C]0.218006[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]-2.201574[/C][C]TEST 1 (small sample)[/C]-1.869403[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.027200[/C][C]TEST 1 Prob. (small sample)[/C]0.061400[/C][/ROW] [ROW][C]Observations[/C]500[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103024&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103024&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.-10051.169475FISHER 4th Cent. Mom.3.76454e+6
FISHER beta 10.057470FISHER beta 22.584547
FISHER gamma 1-0.239729FISHER gamma 2-0.415453
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-2.188417FISHER Test 2-1.896276
FISHER Test 1 Probability0.028600FISHER Test 2 Probability0.057400
Pearson 2-0.028772
Yule using Quartile definition:Weighted Average at Xnp0.041047
Yule using Quartile definition:Weighted Average at X(n+1)p0.047146
Yule using Quartile definition:Empirical Distribution Function0.041047
Yule using Quartile definition:Empirical Distribution Function - Averaging0.045429
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.043705
Yule using Quartile definition:Closest Observation0.041047
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.043705
Yule using Quartile definition:MS Excel (old versions)0.048856
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.240451Kurtosis (small sample)-0.407541
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-2.201574TEST 1 (small sample)-1.869403
TEST 1 Prob. (small sample)0.027200TEST 1 Prob. (small sample)0.061400
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.2405000.027200Trim. Kurtosis (0/500)-0.4075000.061400
Trim. Skewness (1/500)-0.2336000.032400Trim. Kurtosis (1/500)-0.4393000.043400
Trim. Skewness (2/500)-0.2308000.034800Trim. Kurtosis (2/500)-0.4555000.036600
Trim. Skewness (3/500)-0.2298000.035800Trim. Kurtosis (3/500)-0.4653000.033200
Trim. Skewness (4/500)-0.2287000.037600Trim. Kurtosis (4/500)-0.4766000.030000
Trim. Skewness (5/500)-0.2302000.036600Trim. Kurtosis (5/500)-0.4831000.027800
Trim. Skewness (6/500)-0.2331000.034800Trim. Kurtosis (6/500)-0.4877000.026400
Trim. Skewness (7/500)-0.2369000.032400Trim. Kurtosis (7/500)-0.4910000.025800
Trim. Skewness (8/500)-0.2412000.029200Trim. Kurtosis (8/500)-0.4951000.025000
Trim. Skewness (9/500)-0.2451000.027200Trim. Kurtosis (9/500)-0.4984000.024400
Trim. Skewness (10/500)-0.2484000.025800Trim. Kurtosis (10/500)-0.5016000.023800
Trim. Skewness (11/500)-0.2500000.025000Trim. Kurtosis (11/500)-0.5030000.023800
Trim. Skewness (12/500)-0.2520000.023800Trim. Kurtosis (12/500)-0.5038000.023800
Trim. Skewness (13/500)-0.2545000.023200Trim. Kurtosis (13/500)-0.5044000.023800
Trim. Skewness (14/500)-0.2565000.022000Trim. Kurtosis (14/500)-0.5050000.023800
Trim. Skewness (15/500)-0.2590000.021400Trim. Kurtosis (15/500)-0.5057000.024400
Trim. Skewness (16/500)-0.2608000.020400Trim. Kurtosis (16/500)-0.5065000.024400
Trim. Skewness (17/500)-0.2625000.019800Trim. Kurtosis (17/500)-0.5080000.023800
Trim. Skewness (18/500)-0.2635000.019800Trim. Kurtosis (18/500)-0.5098000.023800
Trim. Skewness (19/500)-0.2644000.019800Trim. Kurtosis (19/500)-0.5122000.023800
Trim. Skewness (20/500)-0.2652000.019800Trim. Kurtosis (20/500)-0.5160000.022600
Trim. Skewness (21/500)-0.2666000.019200Trim. Kurtosis (21/500)-0.5198000.022000
Trim. Skewness (22/500)-0.2685000.018800Trim. Kurtosis (22/500)-0.5239000.021400
Trim. Skewness (23/500)-0.2699000.018200Trim. Kurtosis (23/500)-0.5280000.020800
Trim. Skewness (24/500)-0.2707000.018200Trim. Kurtosis (24/500)-0.5327000.019800
Trim. Skewness (25/500)-0.2708000.018200Trim. Kurtosis (25/500)-0.5383000.018800
Trim. Skewness (26/500)-0.2705000.018800Trim. Kurtosis (26/500)-0.5433000.017800
Trim. Skewness (27/500)-0.2690000.019800Trim. Kurtosis (27/500)-0.5472000.017400
Trim. Skewness (28/500)-0.2677000.020400Trim. Kurtosis (28/500)-0.5514000.016800
Trim. Skewness (29/500)-0.2664000.021400Trim. Kurtosis (29/500)-0.5566000.016000
Trim. Skewness (30/500)-0.2646000.022600Trim. Kurtosis (30/500)-0.5618000.015600
Trim. Skewness (31/500)-0.2627000.023800Trim. Kurtosis (31/500)-0.5667000.014600
Trim. Skewness (32/500)-0.2609000.025000Trim. Kurtosis (32/500)-0.5725000.013800
Trim. Skewness (33/500)-0.2586000.027200Trim. Kurtosis (33/500)-0.5796000.013200
Trim. Skewness (34/500)-0.2559000.029200Trim. Kurtosis (34/500)-0.5885000.011800
Trim. Skewness (35/500)-0.2528000.031600Trim. Kurtosis (35/500)-0.5991000.010400
Trim. Skewness (36/500)-0.2489000.034800Trim. Kurtosis (36/500)-0.6108000.009400
Trim. Skewness (37/500)-0.2443000.038400Trim. Kurtosis (37/500)-0.6243000.008000
Trim. Skewness (38/500)-0.2389000.043400Trim. Kurtosis (38/500)-0.6399000.006800
Trim. Skewness (39/500)-0.2340000.048800Trim. Kurtosis (39/500)-0.6548000.005600
Trim. Skewness (40/500)-0.2296000.053600Trim. Kurtosis (40/500)-0.6698000.004800

\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 (0/500)-0.2405000.027200 & Trim. Kurtosis (0/500)-0.4075000.061400 \tabularnewline Trim. Skewness (1/500)-0.2336000.032400 & Trim. Kurtosis (1/500)-0.4393000.043400 \tabularnewline Trim. Skewness (2/500)-0.2308000.034800 & Trim. Kurtosis (2/500)-0.4555000.036600 \tabularnewline Trim. Skewness (3/500)-0.2298000.035800 & Trim. Kurtosis (3/500)-0.4653000.033200 \tabularnewline Trim. Skewness (4/500)-0.2287000.037600 & Trim. Kurtosis (4/500)-0.4766000.030000 \tabularnewline Trim. Skewness (5/500)-0.2302000.036600 & Trim. Kurtosis (5/500)-0.4831000.027800 \tabularnewline Trim. Skewness (6/500)-0.2331000.034800 & Trim. Kurtosis (6/500)-0.4877000.026400 \tabularnewline Trim. Skewness (7/500)-0.2369000.032400 & Trim. Kurtosis (7/500)-0.4910000.025800 \tabularnewline Trim. Skewness (8/500)-0.2412000.029200 & Trim. Kurtosis (8/500)-0.4951000.025000 \tabularnewline Trim. Skewness (9/500)-0.2451000.027200 & Trim. Kurtosis (9/500)-0.4984000.024400 \tabularnewline Trim. Skewness (10/500)-0.2484000.025800 & Trim. Kurtosis (10/500)-0.5016000.023800 \tabularnewline Trim. Skewness (11/500)-0.2500000.025000 & Trim. Kurtosis (11/500)-0.5030000.023800 \tabularnewline Trim. Skewness (12/500)-0.2520000.023800 & Trim. Kurtosis (12/500)-0.5038000.023800 \tabularnewline Trim. Skewness (13/500)-0.2545000.023200 & Trim. Kurtosis (13/500)-0.5044000.023800 \tabularnewline Trim. Skewness (14/500)-0.2565000.022000 & Trim. Kurtosis (14/500)-0.5050000.023800 \tabularnewline Trim. Skewness (15/500)-0.2590000.021400 & Trim. Kurtosis (15/500)-0.5057000.024400 \tabularnewline Trim. Skewness (16/500)-0.2608000.020400 & Trim. Kurtosis (16/500)-0.5065000.024400 \tabularnewline Trim. Skewness (17/500)-0.2625000.019800 & Trim. Kurtosis (17/500)-0.5080000.023800 \tabularnewline Trim. Skewness (18/500)-0.2635000.019800 & Trim. Kurtosis (18/500)-0.5098000.023800 \tabularnewline Trim. Skewness (19/500)-0.2644000.019800 & Trim. Kurtosis (19/500)-0.5122000.023800 \tabularnewline Trim. Skewness (20/500)-0.2652000.019800 & Trim. Kurtosis (20/500)-0.5160000.022600 \tabularnewline Trim. Skewness (21/500)-0.2666000.019200 & Trim. Kurtosis (21/500)-0.5198000.022000 \tabularnewline Trim. Skewness (22/500)-0.2685000.018800 & Trim. Kurtosis (22/500)-0.5239000.021400 \tabularnewline Trim. Skewness (23/500)-0.2699000.018200 & Trim. Kurtosis (23/500)-0.5280000.020800 \tabularnewline Trim. Skewness (24/500)-0.2707000.018200 & Trim. Kurtosis (24/500)-0.5327000.019800 \tabularnewline Trim. Skewness (25/500)-0.2708000.018200 & Trim. Kurtosis (25/500)-0.5383000.018800 \tabularnewline Trim. Skewness (26/500)-0.2705000.018800 & Trim. Kurtosis (26/500)-0.5433000.017800 \tabularnewline Trim. Skewness (27/500)-0.2690000.019800 & Trim. Kurtosis (27/500)-0.5472000.017400 \tabularnewline Trim. Skewness (28/500)-0.2677000.020400 & Trim. Kurtosis (28/500)-0.5514000.016800 \tabularnewline Trim. Skewness (29/500)-0.2664000.021400 & Trim. Kurtosis (29/500)-0.5566000.016000 \tabularnewline Trim. Skewness (30/500)-0.2646000.022600 & Trim. Kurtosis (30/500)-0.5618000.015600 \tabularnewline Trim. Skewness (31/500)-0.2627000.023800 & Trim. Kurtosis (31/500)-0.5667000.014600 \tabularnewline Trim. Skewness (32/500)-0.2609000.025000 & Trim. Kurtosis (32/500)-0.5725000.013800 \tabularnewline Trim. Skewness (33/500)-0.2586000.027200 & Trim. Kurtosis (33/500)-0.5796000.013200 \tabularnewline Trim. Skewness (34/500)-0.2559000.029200 & Trim. Kurtosis (34/500)-0.5885000.011800 \tabularnewline Trim. Skewness (35/500)-0.2528000.031600 & Trim. Kurtosis (35/500)-0.5991000.010400 \tabularnewline Trim. Skewness (36/500)-0.2489000.034800 & Trim. Kurtosis (36/500)-0.6108000.009400 \tabularnewline Trim. Skewness (37/500)-0.2443000.038400 & Trim. Kurtosis (37/500)-0.6243000.008000 \tabularnewline Trim. Skewness (38/500)-0.2389000.043400 & Trim. Kurtosis (38/500)-0.6399000.006800 \tabularnewline Trim. Skewness (39/500)-0.2340000.048800 & Trim. Kurtosis (39/500)-0.6548000.005600 \tabularnewline Trim. Skewness (40/500)-0.2296000.053600 & Trim. Kurtosis (40/500)-0.6698000.004800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103024&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 (0/500)[/C]-0.240500[/C]0.027200[/C][C]Trim. Kurtosis (0/500)[/C]-0.407500[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.233600[/C]0.032400[/C][C]Trim. Kurtosis (1/500)[/C]-0.439300[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.230800[/C]0.034800[/C][C]Trim. Kurtosis (2/500)[/C]-0.455500[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.229800[/C]0.035800[/C][C]Trim. Kurtosis (3/500)[/C]-0.465300[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.228700[/C]0.037600[/C][C]Trim. Kurtosis (4/500)[/C]-0.476600[/C]0.030000[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.230200[/C]0.036600[/C][C]Trim. Kurtosis (5/500)[/C]-0.483100[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.233100[/C]0.034800[/C][C]Trim. Kurtosis (6/500)[/C]-0.487700[/C]0.026400[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.236900[/C]0.032400[/C][C]Trim. Kurtosis (7/500)[/C]-0.491000[/C]0.025800[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.241200[/C]0.029200[/C][C]Trim. Kurtosis (8/500)[/C]-0.495100[/C]0.025000[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.245100[/C]0.027200[/C][C]Trim. Kurtosis (9/500)[/C]-0.498400[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.248400[/C]0.025800[/C][C]Trim. Kurtosis (10/500)[/C]-0.501600[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.250000[/C]0.025000[/C][C]Trim. Kurtosis (11/500)[/C]-0.503000[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.252000[/C]0.023800[/C][C]Trim. Kurtosis (12/500)[/C]-0.503800[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.254500[/C]0.023200[/C][C]Trim. Kurtosis (13/500)[/C]-0.504400[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.256500[/C]0.022000[/C][C]Trim. Kurtosis (14/500)[/C]-0.505000[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.259000[/C]0.021400[/C][C]Trim. Kurtosis (15/500)[/C]-0.505700[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.260800[/C]0.020400[/C][C]Trim. Kurtosis (16/500)[/C]-0.506500[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.262500[/C]0.019800[/C][C]Trim. Kurtosis (17/500)[/C]-0.508000[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.263500[/C]0.019800[/C][C]Trim. Kurtosis (18/500)[/C]-0.509800[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.264400[/C]0.019800[/C][C]Trim. Kurtosis (19/500)[/C]-0.512200[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.265200[/C]0.019800[/C][C]Trim. Kurtosis (20/500)[/C]-0.516000[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.266600[/C]0.019200[/C][C]Trim. Kurtosis (21/500)[/C]-0.519800[/C]0.022000[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.268500[/C]0.018800[/C][C]Trim. Kurtosis (22/500)[/C]-0.523900[/C]0.021400[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.269900[/C]0.018200[/C][C]Trim. Kurtosis (23/500)[/C]-0.528000[/C]0.020800[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.270700[/C]0.018200[/C][C]Trim. Kurtosis (24/500)[/C]-0.532700[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.270800[/C]0.018200[/C][C]Trim. Kurtosis (25/500)[/C]-0.538300[/C]0.018800[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.270500[/C]0.018800[/C][C]Trim. Kurtosis (26/500)[/C]-0.543300[/C]0.017800[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.269000[/C]0.019800[/C][C]Trim. Kurtosis (27/500)[/C]-0.547200[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.267700[/C]0.020400[/C][C]Trim. Kurtosis (28/500)[/C]-0.551400[/C]0.016800[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.266400[/C]0.021400[/C][C]Trim. Kurtosis (29/500)[/C]-0.556600[/C]0.016000[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.264600[/C]0.022600[/C][C]Trim. Kurtosis (30/500)[/C]-0.561800[/C]0.015600[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.262700[/C]0.023800[/C][C]Trim. Kurtosis (31/500)[/C]-0.566700[/C]0.014600[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.260900[/C]0.025000[/C][C]Trim. Kurtosis (32/500)[/C]-0.572500[/C]0.013800[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.258600[/C]0.027200[/C][C]Trim. Kurtosis (33/500)[/C]-0.579600[/C]0.013200[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.255900[/C]0.029200[/C][C]Trim. Kurtosis (34/500)[/C]-0.588500[/C]0.011800[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.252800[/C]0.031600[/C][C]Trim. Kurtosis (35/500)[/C]-0.599100[/C]0.010400[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.248900[/C]0.034800[/C][C]Trim. Kurtosis (36/500)[/C]-0.610800[/C]0.009400[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.244300[/C]0.038400[/C][C]Trim. Kurtosis (37/500)[/C]-0.624300[/C]0.008000[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.238900[/C]0.043400[/C][C]Trim. Kurtosis (38/500)[/C]-0.639900[/C]0.006800[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.234000[/C]0.048800[/C][C]Trim. Kurtosis (39/500)[/C]-0.654800[/C]0.005600[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.229600[/C]0.053600[/C][C]Trim. Kurtosis (40/500)[/C]-0.669800[/C]0.004800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103024&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103024&T=1

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


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 (0/500)-0.2405000.027200Trim. Kurtosis (0/500)-0.4075000.061400
Trim. Skewness (1/500)-0.2336000.032400Trim. Kurtosis (1/500)-0.4393000.043400
Trim. Skewness (2/500)-0.2308000.034800Trim. Kurtosis (2/500)-0.4555000.036600
Trim. Skewness (3/500)-0.2298000.035800Trim. Kurtosis (3/500)-0.4653000.033200
Trim. Skewness (4/500)-0.2287000.037600Trim. Kurtosis (4/500)-0.4766000.030000
Trim. Skewness (5/500)-0.2302000.036600Trim. Kurtosis (5/500)-0.4831000.027800
Trim. Skewness (6/500)-0.2331000.034800Trim. Kurtosis (6/500)-0.4877000.026400
Trim. Skewness (7/500)-0.2369000.032400Trim. Kurtosis (7/500)-0.4910000.025800
Trim. Skewness (8/500)-0.2412000.029200Trim. Kurtosis (8/500)-0.4951000.025000
Trim. Skewness (9/500)-0.2451000.027200Trim. Kurtosis (9/500)-0.4984000.024400
Trim. Skewness (10/500)-0.2484000.025800Trim. Kurtosis (10/500)-0.5016000.023800
Trim. Skewness (11/500)-0.2500000.025000Trim. Kurtosis (11/500)-0.5030000.023800
Trim. Skewness (12/500)-0.2520000.023800Trim. Kurtosis (12/500)-0.5038000.023800
Trim. Skewness (13/500)-0.2545000.023200Trim. Kurtosis (13/500)-0.5044000.023800
Trim. Skewness (14/500)-0.2565000.022000Trim. Kurtosis (14/500)-0.5050000.023800
Trim. Skewness (15/500)-0.2590000.021400Trim. Kurtosis (15/500)-0.5057000.024400
Trim. Skewness (16/500)-0.2608000.020400Trim. Kurtosis (16/500)-0.5065000.024400
Trim. Skewness (17/500)-0.2625000.019800Trim. Kurtosis (17/500)-0.5080000.023800
Trim. Skewness (18/500)-0.2635000.019800Trim. Kurtosis (18/500)-0.5098000.023800
Trim. Skewness (19/500)-0.2644000.019800Trim. Kurtosis (19/500)-0.5122000.023800
Trim. Skewness (20/500)-0.2652000.019800Trim. Kurtosis (20/500)-0.5160000.022600
Trim. Skewness (21/500)-0.2666000.019200Trim. Kurtosis (21/500)-0.5198000.022000
Trim. Skewness (22/500)-0.2685000.018800Trim. Kurtosis (22/500)-0.5239000.021400
Trim. Skewness (23/500)-0.2699000.018200Trim. Kurtosis (23/500)-0.5280000.020800
Trim. Skewness (24/500)-0.2707000.018200Trim. Kurtosis (24/500)-0.5327000.019800
Trim. Skewness (25/500)-0.2708000.018200Trim. Kurtosis (25/500)-0.5383000.018800
Trim. Skewness (26/500)-0.2705000.018800Trim. Kurtosis (26/500)-0.5433000.017800
Trim. Skewness (27/500)-0.2690000.019800Trim. Kurtosis (27/500)-0.5472000.017400
Trim. Skewness (28/500)-0.2677000.020400Trim. Kurtosis (28/500)-0.5514000.016800
Trim. Skewness (29/500)-0.2664000.021400Trim. Kurtosis (29/500)-0.5566000.016000
Trim. Skewness (30/500)-0.2646000.022600Trim. Kurtosis (30/500)-0.5618000.015600
Trim. Skewness (31/500)-0.2627000.023800Trim. Kurtosis (31/500)-0.5667000.014600
Trim. Skewness (32/500)-0.2609000.025000Trim. Kurtosis (32/500)-0.5725000.013800
Trim. Skewness (33/500)-0.2586000.027200Trim. Kurtosis (33/500)-0.5796000.013200
Trim. Skewness (34/500)-0.2559000.029200Trim. Kurtosis (34/500)-0.5885000.011800
Trim. Skewness (35/500)-0.2528000.031600Trim. Kurtosis (35/500)-0.5991000.010400
Trim. Skewness (36/500)-0.2489000.034800Trim. Kurtosis (36/500)-0.6108000.009400
Trim. Skewness (37/500)-0.2443000.038400Trim. Kurtosis (37/500)-0.6243000.008000
Trim. Skewness (38/500)-0.2389000.043400Trim. Kurtosis (38/500)-0.6399000.006800
Trim. Skewness (39/500)-0.2340000.048800Trim. Kurtosis (39/500)-0.6548000.005600
Trim. Skewness (40/500)-0.2296000.053600Trim. Kurtosis (40/500)-0.6698000.004800


Figures (Output of Computation)

Input Parameters & R Code

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