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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 19:19:08 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/29/t129105824206t6hphibtxizmc.htm/, Retrieved Mon, 29 Apr 2024 15:03:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103044, Retrieved Mon, 29 Apr 2024 15:03:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112

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] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                    [Skewness and Kurtosis] [] [2010-11-29 19:17:23] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                        [Skewness and Kurtosis] [] [2010-11-29 19:19:08] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    D                                                          [Skewness and Kurtosis] [] [2010-11-29 19:20:37] [7d64bf19f34ddcdf2626356c9d5bd60d]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2369.37
2384.14
2403.75
2420.74
2425.99
2418.65
2407.38
2405.86
2401.2
2376.96
2359.3
2378.52
2388.91
2364.97
2368.32
2378.64
2388.22
2412.08
2412.08
2412.08
2431.74
2441.39
2431.72
2441.08
2448.73
2428.25
2431.62
2423.59
2429.5
2440.98
2424.17
2434.66
2431.34
2431.77
2443.56
2427.89
2435.58
2453.67
2477.37
2481.96
2482.67
2480.3
2493.43
2512.88
2489.15
2502.6
2504.25
2496.73
2512.14
2506.7
2498.02
2498.93
2494.41
2512.6
2497.17
2489.27
2491.64
2497.31
2504.23
2513.57
2520.75
2521.04
2533.4
2548.68
2532.59
2544.89
2542.64
2552.05
2545.92
2554.66
2546.25
2544.38
2550.34
2559.25
2585.84
2583.73
2603.45
2592.5
2583.61
2596.65
2601.06
2610.71
2632.8
2659.65
2644.7
2632.42
2657.78
2629.68
2642.89
2620.58
2534.83
2513.7
2548.69
2502.18
2493.98
2416.69
2429.55
2436.55
2404.45
2445.02
2439.91
2441.54
2383.87
2386.7
2419.42
2407.25
2390.01
2355.43
2297.11
2337.44
2338.53
2293.35
2280.67
2302.43
2373.91
2367.9
2327.11
2329.6
2359.55
2343.03
2367.94
2357.58
2350.8
2386.77
2435.39
2438.26
2448.73
2424.11
2448.07
2445.13
2438.45
2415.91
2422.76
2396.64
2363.55
2320.2
2333.81
2341.79
2383.54
2371.37
2375.04
2407.56
2406.31
2444.66
2429.44
2445.43
2445.04
2453.99
2457.09
2462.92
2460.25
2465.04
2444.63
2450.63
2450.5
2440.62
2453.43
2470.65
2483.53
2467.3
2480.99
2472.26
2446.11
2453.21
2427.05
2455.33
2471.4
2482.39
2491.49
2520.45
2519.72
2526.53
2505.39
2510.14
2488.51
2487.2
2508.03
2518.97
2521.91
2552.02
2538.24
2531.42
2538.26
2520.5
2523.89
2526
2557.9
2567.97
2568.86
2600.06
2593.27
2602.92
2641.48
2649.3
2621.51
2647.66
2641.61
2640.64
2666.68
2669.55
2637.7
2642.42
2667.58
2686.43
2691.61
2714.66
2741.69
2729.98
2691.6
2701.75
2737.78
2730.98
2722.31
2729.13
2749.22
2735.3
2745.59
2745.31
2747.24
2759.88
2777.62
2798.45
2813.18
2771.41
2802.88
2830.02
2838.48
2814.81
2840.94
2787.81
2826.36
2838.53
2836.04
2850.72
2901.99
2895.02
2901.8
2865.14
2887.23
2893.81
2884.15
2916.28
2931.29
2963.44
2897.3
2920.83
2920.84
2942.39
2942.53
2961.25
2963.49
2985.83
3037.74
3023.8
3029.04
3000
3008.35
2961.15
2969.69
3009.09
3035.58
3038.21
3037.66
3061.65
3072.88
3145.2
3132.9
3150.24
3108.63
3087.74
3128.91
3130.26
3125.56
3168.1
3217.68
3223.32
3223.25
3236.6
3217.76
3220.89
3170.46
3149.16
3182.21
3252.49
3236.93
3293.61
3288.85
3310.44
3307.92
3232.02
3104.15
3092.58
3078.74
2982.29
3036.52
3059.15
3122.49
3143.71
3182.68
3158.9
3053.21
3094.6
3068.75
3113.39
3116.88
3155.69
3219.51
3205.82
3204.55
3234.11
3201.75
3228.88
3231.24
3246.31
3288.36
3332.92
3345.86
3400
3422.62
3420.62
3372.69
3373.59
3414.15
3415.32
3400.41
3291.28
3360.67
3388.48
3374.52
3362.68
3406.89
3398.6
3361.29
3417.81
3450.64
3485.76
3477.59
3439.21
3452.72
3469.26
3446.92
3501.1
3475.08
3501.17
3525.51
3512.4
3514.49
3539.82
3559.01
3530.26
3486.63
3513.37
3527.08
3511.13
3548.32
3579.35
3572.9
3563.75
3546.33
3491.59
3545.46
3561.54
3551.22
3573.43
3581.16
3623.79
3629.55
3628.67
3639.49
3615.38
3580.33
3525.1
3505.5
3538.23
3548.2
3550.34
3569.43
3554.85
3551.68
3561.96
3626.72
3620.32
3594.94
3624.56
3654.61
3653.23
3651.05
3583.97
3604.62
3651.38
3635.35
3665.13
3633.54
3579.73
3492.7
3526.29
3547.66
3431.71
3435.46
3436.04
3308.99
3302.01
3413.17
3359.18
3380.61
3386.59
3273.25
3152.16
3130.71
3322.38
3228.66
3321.5
3370.91
3369.45
3388.44
3343
3334.66
3321.15
3392.91
3386.22
3376.06
3445.08
3466.06
3488.97
3441.87
3494.57
3506.09
3504.4
3536.4
3476.31
3477.75
3594.36
3552.46
3542.22
3639.02
3624.82
3650.09
3714.77
3706.23
3755.22
3793.83
3754.62
3783.81
3822.62
3820.31
3865.75
3814.45
3875.77
3857.25
3862.02
3810.72
3839.73
3809.69
3747.98
3642.64
3695.3
3649.12
3707.14
3771.55
3819.78
3798.45
3805.7
3803.56
3715.32
3670.18
3683.1
3673.01
3599.67
3511.12
3475.47
3524.91
3477.59
3440.96
3411.72
3438.27
3347.2
3312.88
3325.89
3418.58
3372.64
3369.72
3478.22
3521.27
3521.56
3527.87
3560.05
3552.55
3557.95
3553.08
3589.03
3549.25
3479.31
3466.38
3353.56
3369.31
3357.34
3398.1
3434.53
3473.21
3477.2

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.1.56632e+7FISHER 4th Cent. Mom.7.96003e+10
FISHER beta 10.019652FISHER beta 21.479123
FISHER gamma 10.140184FISHER gamma 2-1.520877
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 11.279699FISHER Test 2-6.941823
FISHER Test 1 Probability0.200600FISHER Test 2 Probability0.000000
Pearson 20.120529
Yule using Quartile definition:Weighted Average at Xnp0.018052
Yule using Quartile definition:Weighted Average at X(n+1)p0.019597
Yule using Quartile definition:Empirical Distribution Function0.018052
Yule using Quartile definition:Empirical Distribution Function - Averaging0.019240
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.018883
Yule using Quartile definition:Closest Observation0.018052
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.018883
Yule using Quartile definition:MS Excel (old versions)0.019954
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.140606Kurtosis (small sample)-1.524100
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)1.287393TEST 1 (small sample)-6.991087
TEST 1 Prob. (small sample)0.197000TEST 1 Prob. (small sample)0.000000
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.1.56632e+7 & FISHER 4th Cent. Mom.7.96003e+10 \tabularnewline FISHER beta 10.019652 & FISHER beta 21.479123 \tabularnewline FISHER gamma 10.140184 & FISHER gamma 2-1.520877 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 11.279699 & FISHER Test 2-6.941823 \tabularnewline FISHER Test 1 Probability0.200600 & FISHER Test 2 Probability0.000000 \tabularnewline Pearson 20.120529 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.018052 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.019597 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.018052 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.019240 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.018883 & & \tabularnewline Yule using Quartile definition:Closest Observation0.018052 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.018883 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.019954 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.140606 & Kurtosis (small sample)-1.524100 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)1.287393 & TEST 1 (small sample)-6.991087 \tabularnewline TEST 1 Prob. (small sample)0.197000 & TEST 1 Prob. (small sample)0.000000 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103044&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]1.56632e+7[/C][C]FISHER 4th Cent. Mom.[/C]7.96003e+10[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.019652[/C][C]FISHER beta 2[/C]1.479123[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.140184[/C][C]FISHER gamma 2[/C]-1.520877[/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]1.279699[/C][C]FISHER Test 2[/C]-6.941823[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.200600[/C][C]FISHER Test 2 Probability[/C]0.000000[/C][/ROW] [ROW][C]Pearson 2[/C]0.120529[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.018052[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.019597[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.018052[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.019240[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.018883[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.018052[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.018883[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.019954[/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]0.140606[/C][C]Kurtosis (small sample)[/C]-1.524100[/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]1.287393[/C][C]TEST 1 (small sample)[/C]-6.991087[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.197000[/C][C]TEST 1 Prob. (small sample)[/C]0.000000[/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=103044&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103044&T=0

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

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.1.56632e+7FISHER 4th Cent. Mom.7.96003e+10
FISHER beta 10.019652FISHER beta 21.479123
FISHER gamma 10.140184FISHER gamma 2-1.520877
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 11.279699FISHER Test 2-6.941823
FISHER Test 1 Probability0.200600FISHER Test 2 Probability0.000000
Pearson 20.120529
Yule using Quartile definition:Weighted Average at Xnp0.018052
Yule using Quartile definition:Weighted Average at X(n+1)p0.019597
Yule using Quartile definition:Empirical Distribution Function0.018052
Yule using Quartile definition:Empirical Distribution Function - Averaging0.019240
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.018883
Yule using Quartile definition:Closest Observation0.018052
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.018883
Yule using Quartile definition:MS Excel (old versions)0.019954
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.140606Kurtosis (small sample)-1.524100
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)1.287393TEST 1 (small sample)-6.991087
TEST 1 Prob. (small sample)0.197000TEST 1 Prob. (small sample)0.000000
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.1406000.197000Trim. Kurtosis (0/500)-1.5241000.000000
Trim. Skewness (1/500)0.1384000.204000Trim. Kurtosis (1/500)-1.5296000.000000
Trim. Skewness (2/500)0.1361000.211200Trim. Kurtosis (2/500)-1.5347000.000000
Trim. Skewness (3/500)0.1338000.222400Trim. Kurtosis (3/500)-1.5399000.000000
Trim. Skewness (4/500)0.1314000.230200Trim. Kurtosis (4/500)-1.5450000.000000
Trim. Skewness (5/500)0.1292000.238000Trim. Kurtosis (5/500)-1.5492000.000000
Trim. Skewness (6/500)0.1271000.246000Trim. Kurtosis (6/500)-1.5527000.000000
Trim. Skewness (7/500)0.1250000.258400Trim. Kurtosis (7/500)-1.5563000.000000
Trim. Skewness (8/500)0.1228000.267000Trim. Kurtosis (8/500)-1.5601000.000000
Trim. Skewness (9/500)0.1206000.275800Trim. Kurtosis (9/500)-1.5638000.000000
Trim. Skewness (10/500)0.1183000.284600Trim. Kurtosis (10/500)-1.5675000.000000
Trim. Skewness (11/500)0.1159000.298400Trim. Kurtosis (11/500)-1.5715000.000000
Trim. Skewness (12/500)0.1135000.307800Trim. Kurtosis (12/500)-1.5755000.000000
Trim. Skewness (13/500)0.1110000.322200Trim. Kurtosis (13/500)-1.5795000.000000
Trim. Skewness (14/500)0.1084000.332000Trim. Kurtosis (14/500)-1.5835000.000000
Trim. Skewness (15/500)0.1058000.347200Trim. Kurtosis (15/500)-1.5875000.000000
Trim. Skewness (16/500)0.1034000.357600Trim. Kurtosis (16/500)-1.5912000.000000
Trim. Skewness (17/500)0.1012000.368200Trim. Kurtosis (17/500)-1.5945000.000000
Trim. Skewness (18/500)0.0993000.378800Trim. Kurtosis (18/500)-1.5972000.000000
Trim. Skewness (19/500)0.0972000.389800Trim. Kurtosis (19/500)-1.6000000.000000
Trim. Skewness (20/500)0.0953000.400800Trim. Kurtosis (20/500)-1.6027000.000000
Trim. Skewness (21/500)0.0940000.406600Trim. Kurtosis (21/500)-1.6041000.000000
Trim. Skewness (22/500)0.0927000.412200Trim. Kurtosis (22/500)-1.6056000.000000
Trim. Skewness (23/500)0.0915000.423800Trim. Kurtosis (23/500)-1.6069000.000000
Trim. Skewness (24/500)0.0902000.429600Trim. Kurtosis (24/500)-1.6083000.000000
Trim. Skewness (25/500)0.0891000.435400Trim. Kurtosis (25/500)-1.6094000.000000
Trim. Skewness (26/500)0.0882000.441200Trim. Kurtosis (26/500)-1.6101000.000000
Trim. Skewness (27/500)0.0874000.447200Trim. Kurtosis (27/500)-1.6105000.000000
Trim. Skewness (28/500)0.0867000.453200Trim. Kurtosis (28/500)-1.6110000.000000
Trim. Skewness (29/500)0.0860000.453200Trim. Kurtosis (29/500)-1.6113000.000000
Trim. Skewness (30/500)0.0854000.459200Trim. Kurtosis (30/500)-1.6114000.000000
Trim. Skewness (31/500)0.0848000.465400Trim. Kurtosis (31/500)-1.6114000.000000
Trim. Skewness (32/500)0.0842000.465400Trim. Kurtosis (32/500)-1.6115000.000000
Trim. Skewness (33/500)0.0836000.471600Trim. Kurtosis (33/500)-1.6117000.000000
Trim. Skewness (34/500)0.0829000.477600Trim. Kurtosis (34/500)-1.6118000.000000
Trim. Skewness (35/500)0.0822000.484000Trim. Kurtosis (35/500)-1.6121000.000000
Trim. Skewness (36/500)0.0816000.484000Trim. Kurtosis (36/500)-1.6121000.000000
Trim. Skewness (37/500)0.0810000.490200Trim. Kurtosis (37/500)-1.6122000.000000
Trim. Skewness (38/500)0.0803000.496400Trim. Kurtosis (38/500)-1.6122000.000000
Trim. Skewness (39/500)0.0796000.502800Trim. Kurtosis (39/500)-1.6121000.000000
Trim. Skewness (40/500)0.0788000.502800Trim. Kurtosis (40/500)-1.6120000.000000

\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)0.1406000.197000 & Trim. Kurtosis (0/500)-1.5241000.000000 \tabularnewline Trim. Skewness (1/500)0.1384000.204000 & Trim. Kurtosis (1/500)-1.5296000.000000 \tabularnewline Trim. Skewness (2/500)0.1361000.211200 & Trim. Kurtosis (2/500)-1.5347000.000000 \tabularnewline Trim. Skewness (3/500)0.1338000.222400 & Trim. Kurtosis (3/500)-1.5399000.000000 \tabularnewline Trim. Skewness (4/500)0.1314000.230200 & Trim. Kurtosis (4/500)-1.5450000.000000 \tabularnewline Trim. Skewness (5/500)0.1292000.238000 & Trim. Kurtosis (5/500)-1.5492000.000000 \tabularnewline Trim. Skewness (6/500)0.1271000.246000 & Trim. Kurtosis (6/500)-1.5527000.000000 \tabularnewline Trim. Skewness (7/500)0.1250000.258400 & Trim. Kurtosis (7/500)-1.5563000.000000 \tabularnewline Trim. Skewness (8/500)0.1228000.267000 & Trim. Kurtosis (8/500)-1.5601000.000000 \tabularnewline Trim. Skewness (9/500)0.1206000.275800 & Trim. Kurtosis (9/500)-1.5638000.000000 \tabularnewline Trim. Skewness (10/500)0.1183000.284600 & Trim. Kurtosis (10/500)-1.5675000.000000 \tabularnewline Trim. Skewness (11/500)0.1159000.298400 & Trim. Kurtosis (11/500)-1.5715000.000000 \tabularnewline Trim. Skewness (12/500)0.1135000.307800 & Trim. Kurtosis (12/500)-1.5755000.000000 \tabularnewline Trim. Skewness (13/500)0.1110000.322200 & Trim. Kurtosis (13/500)-1.5795000.000000 \tabularnewline Trim. Skewness (14/500)0.1084000.332000 & Trim. Kurtosis (14/500)-1.5835000.000000 \tabularnewline Trim. Skewness (15/500)0.1058000.347200 & Trim. Kurtosis (15/500)-1.5875000.000000 \tabularnewline Trim. Skewness (16/500)0.1034000.357600 & Trim. Kurtosis (16/500)-1.5912000.000000 \tabularnewline Trim. Skewness (17/500)0.1012000.368200 & Trim. Kurtosis (17/500)-1.5945000.000000 \tabularnewline Trim. Skewness (18/500)0.0993000.378800 & Trim. Kurtosis (18/500)-1.5972000.000000 \tabularnewline Trim. Skewness (19/500)0.0972000.389800 & Trim. Kurtosis (19/500)-1.6000000.000000 \tabularnewline Trim. Skewness (20/500)0.0953000.400800 & Trim. Kurtosis (20/500)-1.6027000.000000 \tabularnewline Trim. Skewness (21/500)0.0940000.406600 & Trim. Kurtosis (21/500)-1.6041000.000000 \tabularnewline Trim. Skewness (22/500)0.0927000.412200 & Trim. Kurtosis (22/500)-1.6056000.000000 \tabularnewline Trim. Skewness (23/500)0.0915000.423800 & Trim. Kurtosis (23/500)-1.6069000.000000 \tabularnewline Trim. Skewness (24/500)0.0902000.429600 & Trim. Kurtosis (24/500)-1.6083000.000000 \tabularnewline Trim. Skewness (25/500)0.0891000.435400 & Trim. Kurtosis (25/500)-1.6094000.000000 \tabularnewline Trim. Skewness (26/500)0.0882000.441200 & Trim. Kurtosis (26/500)-1.6101000.000000 \tabularnewline Trim. Skewness (27/500)0.0874000.447200 & Trim. Kurtosis (27/500)-1.6105000.000000 \tabularnewline Trim. Skewness (28/500)0.0867000.453200 & Trim. Kurtosis (28/500)-1.6110000.000000 \tabularnewline Trim. Skewness (29/500)0.0860000.453200 & Trim. Kurtosis (29/500)-1.6113000.000000 \tabularnewline Trim. Skewness (30/500)0.0854000.459200 & Trim. Kurtosis (30/500)-1.6114000.000000 \tabularnewline Trim. Skewness (31/500)0.0848000.465400 & Trim. Kurtosis (31/500)-1.6114000.000000 \tabularnewline Trim. Skewness (32/500)0.0842000.465400 & Trim. Kurtosis (32/500)-1.6115000.000000 \tabularnewline Trim. Skewness (33/500)0.0836000.471600 & Trim. Kurtosis (33/500)-1.6117000.000000 \tabularnewline Trim. Skewness (34/500)0.0829000.477600 & Trim. Kurtosis (34/500)-1.6118000.000000 \tabularnewline Trim. Skewness (35/500)0.0822000.484000 & Trim. Kurtosis (35/500)-1.6121000.000000 \tabularnewline Trim. Skewness (36/500)0.0816000.484000 & Trim. Kurtosis (36/500)-1.6121000.000000 \tabularnewline Trim. Skewness (37/500)0.0810000.490200 & Trim. Kurtosis (37/500)-1.6122000.000000 \tabularnewline Trim. Skewness (38/500)0.0803000.496400 & Trim. Kurtosis (38/500)-1.6122000.000000 \tabularnewline Trim. Skewness (39/500)0.0796000.502800 & Trim. Kurtosis (39/500)-1.6121000.000000 \tabularnewline Trim. Skewness (40/500)0.0788000.502800 & Trim. Kurtosis (40/500)-1.6120000.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103044&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]0.140600[/C]0.197000[/C][C]Trim. Kurtosis (0/500)[/C]-1.524100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.138400[/C]0.204000[/C][C]Trim. Kurtosis (1/500)[/C]-1.529600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.136100[/C]0.211200[/C][C]Trim. Kurtosis (2/500)[/C]-1.534700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.133800[/C]0.222400[/C][C]Trim. Kurtosis (3/500)[/C]-1.539900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.131400[/C]0.230200[/C][C]Trim. Kurtosis (4/500)[/C]-1.545000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.129200[/C]0.238000[/C][C]Trim. Kurtosis (5/500)[/C]-1.549200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.127100[/C]0.246000[/C][C]Trim. Kurtosis (6/500)[/C]-1.552700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.125000[/C]0.258400[/C][C]Trim. Kurtosis (7/500)[/C]-1.556300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.122800[/C]0.267000[/C][C]Trim. Kurtosis (8/500)[/C]-1.560100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.120600[/C]0.275800[/C][C]Trim. Kurtosis (9/500)[/C]-1.563800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.118300[/C]0.284600[/C][C]Trim. Kurtosis (10/500)[/C]-1.567500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.115900[/C]0.298400[/C][C]Trim. Kurtosis (11/500)[/C]-1.571500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.113500[/C]0.307800[/C][C]Trim. Kurtosis (12/500)[/C]-1.575500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.111000[/C]0.322200[/C][C]Trim. Kurtosis (13/500)[/C]-1.579500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.108400[/C]0.332000[/C][C]Trim. Kurtosis (14/500)[/C]-1.583500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.105800[/C]0.347200[/C][C]Trim. Kurtosis (15/500)[/C]-1.587500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.103400[/C]0.357600[/C][C]Trim. Kurtosis (16/500)[/C]-1.591200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.101200[/C]0.368200[/C][C]Trim. Kurtosis (17/500)[/C]-1.594500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.099300[/C]0.378800[/C][C]Trim. Kurtosis (18/500)[/C]-1.597200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]0.097200[/C]0.389800[/C][C]Trim. Kurtosis (19/500)[/C]-1.600000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]0.095300[/C]0.400800[/C][C]Trim. Kurtosis (20/500)[/C]-1.602700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]0.094000[/C]0.406600[/C][C]Trim. Kurtosis (21/500)[/C]-1.604100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]0.092700[/C]0.412200[/C][C]Trim. Kurtosis (22/500)[/C]-1.605600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]0.091500[/C]0.423800[/C][C]Trim. Kurtosis (23/500)[/C]-1.606900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]0.090200[/C]0.429600[/C][C]Trim. Kurtosis (24/500)[/C]-1.608300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]0.089100[/C]0.435400[/C][C]Trim. Kurtosis (25/500)[/C]-1.609400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]0.088200[/C]0.441200[/C][C]Trim. Kurtosis (26/500)[/C]-1.610100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]0.087400[/C]0.447200[/C][C]Trim. Kurtosis (27/500)[/C]-1.610500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]0.086700[/C]0.453200[/C][C]Trim. Kurtosis (28/500)[/C]-1.611000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]0.086000[/C]0.453200[/C][C]Trim. Kurtosis (29/500)[/C]-1.611300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]0.085400[/C]0.459200[/C][C]Trim. Kurtosis (30/500)[/C]-1.611400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.084800[/C]0.465400[/C][C]Trim. Kurtosis (31/500)[/C]-1.611400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.084200[/C]0.465400[/C][C]Trim. Kurtosis (32/500)[/C]-1.611500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.083600[/C]0.471600[/C][C]Trim. Kurtosis (33/500)[/C]-1.611700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.082900[/C]0.477600[/C][C]Trim. Kurtosis (34/500)[/C]-1.611800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.082200[/C]0.484000[/C][C]Trim. Kurtosis (35/500)[/C]-1.612100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.081600[/C]0.484000[/C][C]Trim. Kurtosis (36/500)[/C]-1.612100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.081000[/C]0.490200[/C][C]Trim. Kurtosis (37/500)[/C]-1.612200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.080300[/C]0.496400[/C][C]Trim. Kurtosis (38/500)[/C]-1.612200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.079600[/C]0.502800[/C][C]Trim. Kurtosis (39/500)[/C]-1.612100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.078800[/C]0.502800[/C][C]Trim. Kurtosis (40/500)[/C]-1.612000[/C]0.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103044&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103044&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)0.1406000.197000Trim. Kurtosis (0/500)-1.5241000.000000
Trim. Skewness (1/500)0.1384000.204000Trim. Kurtosis (1/500)-1.5296000.000000
Trim. Skewness (2/500)0.1361000.211200Trim. Kurtosis (2/500)-1.5347000.000000
Trim. Skewness (3/500)0.1338000.222400Trim. Kurtosis (3/500)-1.5399000.000000
Trim. Skewness (4/500)0.1314000.230200Trim. Kurtosis (4/500)-1.5450000.000000
Trim. Skewness (5/500)0.1292000.238000Trim. Kurtosis (5/500)-1.5492000.000000
Trim. Skewness (6/500)0.1271000.246000Trim. Kurtosis (6/500)-1.5527000.000000
Trim. Skewness (7/500)0.1250000.258400Trim. Kurtosis (7/500)-1.5563000.000000
Trim. Skewness (8/500)0.1228000.267000Trim. Kurtosis (8/500)-1.5601000.000000
Trim. Skewness (9/500)0.1206000.275800Trim. Kurtosis (9/500)-1.5638000.000000
Trim. Skewness (10/500)0.1183000.284600Trim. Kurtosis (10/500)-1.5675000.000000
Trim. Skewness (11/500)0.1159000.298400Trim. Kurtosis (11/500)-1.5715000.000000
Trim. Skewness (12/500)0.1135000.307800Trim. Kurtosis (12/500)-1.5755000.000000
Trim. Skewness (13/500)0.1110000.322200Trim. Kurtosis (13/500)-1.5795000.000000
Trim. Skewness (14/500)0.1084000.332000Trim. Kurtosis (14/500)-1.5835000.000000
Trim. Skewness (15/500)0.1058000.347200Trim. Kurtosis (15/500)-1.5875000.000000
Trim. Skewness (16/500)0.1034000.357600Trim. Kurtosis (16/500)-1.5912000.000000
Trim. Skewness (17/500)0.1012000.368200Trim. Kurtosis (17/500)-1.5945000.000000
Trim. Skewness (18/500)0.0993000.378800Trim. Kurtosis (18/500)-1.5972000.000000
Trim. Skewness (19/500)0.0972000.389800Trim. Kurtosis (19/500)-1.6000000.000000
Trim. Skewness (20/500)0.0953000.400800Trim. Kurtosis (20/500)-1.6027000.000000
Trim. Skewness (21/500)0.0940000.406600Trim. Kurtosis (21/500)-1.6041000.000000
Trim. Skewness (22/500)0.0927000.412200Trim. Kurtosis (22/500)-1.6056000.000000
Trim. Skewness (23/500)0.0915000.423800Trim. Kurtosis (23/500)-1.6069000.000000
Trim. Skewness (24/500)0.0902000.429600Trim. Kurtosis (24/500)-1.6083000.000000
Trim. Skewness (25/500)0.0891000.435400Trim. Kurtosis (25/500)-1.6094000.000000
Trim. Skewness (26/500)0.0882000.441200Trim. Kurtosis (26/500)-1.6101000.000000
Trim. Skewness (27/500)0.0874000.447200Trim. Kurtosis (27/500)-1.6105000.000000
Trim. Skewness (28/500)0.0867000.453200Trim. Kurtosis (28/500)-1.6110000.000000
Trim. Skewness (29/500)0.0860000.453200Trim. Kurtosis (29/500)-1.6113000.000000
Trim. Skewness (30/500)0.0854000.459200Trim. Kurtosis (30/500)-1.6114000.000000
Trim. Skewness (31/500)0.0848000.465400Trim. Kurtosis (31/500)-1.6114000.000000
Trim. Skewness (32/500)0.0842000.465400Trim. Kurtosis (32/500)-1.6115000.000000
Trim. Skewness (33/500)0.0836000.471600Trim. Kurtosis (33/500)-1.6117000.000000
Trim. Skewness (34/500)0.0829000.477600Trim. Kurtosis (34/500)-1.6118000.000000
Trim. Skewness (35/500)0.0822000.484000Trim. Kurtosis (35/500)-1.6121000.000000
Trim. Skewness (36/500)0.0816000.484000Trim. Kurtosis (36/500)-1.6121000.000000
Trim. Skewness (37/500)0.0810000.490200Trim. Kurtosis (37/500)-1.6122000.000000
Trim. Skewness (38/500)0.0803000.496400Trim. Kurtosis (38/500)-1.6122000.000000
Trim. Skewness (39/500)0.0796000.502800Trim. Kurtosis (39/500)-1.6121000.000000
Trim. Skewness (40/500)0.0788000.502800Trim. Kurtosis (40/500)-1.6120000.000000


Figures (Output of Computation)

Input Parameters & R Code

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