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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 computationTue, 30 Nov 2010 18:53:35 +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/30/t12911431049a6nd38qucp4c0a.htm/, Retrieved Mon, 29 Apr 2024 11:26:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103746, Retrieved Mon, 29 Apr 2024 11:26:43 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact150

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] [Kurtosis analysis...] [2007-09-10 12:58:14] [34354a2f772eeadc2ea8c4c156a37515]
-  M D  [Skewness and Kurtosis] [] [2010-11-30 18:24:16] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:53:35] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7,11
7,02
7,10
7,07
7,05
7,02
6,87
6,93
6,94
7,07
7,05
7,06
7,09
7,03
7,03
7,05
7,11
7,08
7,10
6,97
6,85
6,88
6,83
6,69
6,65
6,63
6,48
6,54
6,48
6,52
6,62
6,42
6,31
6,26
6,30
6,30
6,38
6,35
6,41
6,42
6,39
6,52
6,51
6,53
6,50
6,58
6,54
6,56
6,36
6,17
6,15
6,09
6,09
6,08
6,11
6,10
6,13
6,14
6,04
6,12
6,14
6,20
6,23
6,22
6,15
6,18
6,19
6,20
6,31
6,25
6,25
6,18
6,19
6,29
6,31
6,39
6,50
6,76
6,78
6,88
6,78
6,76
6,80
6,73
6,75
6,81
6,84
6,80
6,96
6,90
6,80
7,01
6,99
7,00
7,06
7,10
7,20
7,17
7,08
6,98
7,04
6,88
6,89
6,94
6,88
6,96
7,06
7,09
7,08
7,21
7,23
7,28
7,24
7,24
7,31
7,30
7,14
7,17
7,15
7,12

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.011655FISHER 4th Cent. Mom.0.032332
FISHER beta 10.049121FISHER beta 21.641000
FISHER gamma 1-0.221633FISHER gamma 2-1.359000
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.991171FISHER Test 2-3.038817
FISHER Test 1 Probability0.317400FISHER Test 2 Probability0.002400
Pearson 2-0.710344
Yule using Quartile definition:Weighted Average at Xnp-0.297297
Yule using Quartile definition:Weighted Average at X(n+1)p-0.287671
Yule using Quartile definition:Empirical Distribution Function-0.297297
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.277778
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.267606
Yule using Quartile definition:Closest Observation-0.297297
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.267606
Yule using Quartile definition:MS Excel (old versions)-0.297297
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.224448Kurtosis (small sample)-1.365656
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.016161TEST 1 (small sample)-3.115584
TEST 1 Prob. (small sample)0.307800TEST 1 Prob. (small sample)0.001800
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-0.011655 & FISHER 4th Cent. Mom.0.032332 \tabularnewline FISHER beta 10.049121 & FISHER beta 21.641000 \tabularnewline FISHER gamma 1-0.221633 & FISHER gamma 2-1.359000 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-0.991171 & FISHER Test 2-3.038817 \tabularnewline FISHER Test 1 Probability0.317400 & FISHER Test 2 Probability0.002400 \tabularnewline Pearson 2-0.710344 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.297297 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.287671 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.297297 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.277778 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.267606 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.297297 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.267606 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.297297 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.224448 & Kurtosis (small sample)-1.365656 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-1.016161 & TEST 1 (small sample)-3.115584 \tabularnewline TEST 1 Prob. (small sample)0.307800 & TEST 1 Prob. (small sample)0.001800 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103746&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]-0.011655[/C][C]FISHER 4th Cent. Mom.[/C]0.032332[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.049121[/C][C]FISHER beta 2[/C]1.641000[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.221633[/C][C]FISHER gamma 2[/C]-1.359000[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.223607[/C][C]FISHER gamma 2 (S.E.)[/C]0.447214[/C][/ROW] [ROW][C]FISHER Test 1[/C]-0.991171[/C][C]FISHER Test 2[/C]-3.038817[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.317400[/C][C]FISHER Test 2 Probability[/C]0.002400[/C][/ROW] [ROW][C]Pearson 2[/C]-0.710344[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.297297[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.287671[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.297297[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.277778[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.267606[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.297297[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.267606[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.297297[/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]-0.224448[/C][C]Kurtosis (small sample)[/C]-1.365656[/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]-1.016161[/C][C]TEST 1 (small sample)[/C]-3.115584[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.307800[/C][C]TEST 1 Prob. (small sample)[/C]0.001800[/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=103746&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103746&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.-0.011655FISHER 4th Cent. Mom.0.032332
FISHER beta 10.049121FISHER beta 21.641000
FISHER gamma 1-0.221633FISHER gamma 2-1.359000
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.991171FISHER Test 2-3.038817
FISHER Test 1 Probability0.317400FISHER Test 2 Probability0.002400
Pearson 2-0.710344
Yule using Quartile definition:Weighted Average at Xnp-0.297297
Yule using Quartile definition:Weighted Average at X(n+1)p-0.287671
Yule using Quartile definition:Empirical Distribution Function-0.297297
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.277778
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.267606
Yule using Quartile definition:Closest Observation-0.297297
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.267606
Yule using Quartile definition:MS Excel (old versions)-0.297297
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.224448Kurtosis (small sample)-1.365656
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.016161TEST 1 (small sample)-3.115584
TEST 1 Prob. (small sample)0.307800TEST 1 Prob. (small sample)0.001800
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.2244000.307800Trim. Kurtosis (0/120)-1.3657000.001800
Trim. Skewness (1/120)-0.2325000.293800Trim. Kurtosis (1/120)-1.3765000.001800
Trim. Skewness (2/120)-0.2446000.275800Trim. Kurtosis (2/120)-1.3818000.001800
Trim. Skewness (3/120)-0.2561000.254200Trim. Kurtosis (3/120)-1.3852000.002000
Trim. Skewness (4/120)-0.2629000.246000Trim. Kurtosis (4/120)-1.3857000.002200
Trim. Skewness (5/120)-0.2712000.238000Trim. Kurtosis (5/120)-1.3871000.002400
Trim. Skewness (6/120)-0.2800000.226200Trim. Kurtosis (6/120)-1.3881000.002600
Trim. Skewness (7/120)-0.2877000.218600Trim. Kurtosis (7/120)-1.3871000.002800
Trim. Skewness (8/120)-0.2956000.211200Trim. Kurtosis (8/120)-1.3852000.003000
Trim. Skewness (9/120)-0.3011000.207600Trim. Kurtosis (9/120)-1.3800000.003600
Trim. Skewness (10/120)-0.3064000.204000Trim. Kurtosis (10/120)-1.3773000.004000
Trim. Skewness (11/120)-0.3104000.200600Trim. Kurtosis (11/120)-1.3725000.004400
Trim. Skewness (12/120)-0.3126000.204000Trim. Kurtosis (12/120)-1.3699000.005000
Trim. Skewness (13/120)-0.3147000.204000Trim. Kurtosis (13/120)-1.3624000.005600
Trim. Skewness (14/120)-0.3164000.207600Trim. Kurtosis (14/120)-1.3534000.006600
Trim. Skewness (15/120)-0.3172000.211200Trim. Kurtosis (15/120)-1.3469000.007400
Trim. Skewness (16/120)-0.3174000.215000Trim. Kurtosis (16/120)-1.3393000.008200
Trim. Skewness (17/120)-0.3162000.222400Trim. Kurtosis (17/120)-1.3354000.009400
Trim. Skewness (18/120)-0.3155000.226200Trim. Kurtosis (18/120)-1.3317000.010200
Trim. Skewness (19/120)-0.3112000.238000Trim. Kurtosis (19/120)-1.3330000.011000
Trim. Skewness (20/120)-0.3095000.246000Trim. Kurtosis (20/120)-1.3303000.012000
Trim. Skewness (21/120)-0.3065000.258400Trim. Kurtosis (21/120)-1.3275000.013600
Trim. Skewness (22/120)-0.3064000.262800Trim. Kurtosis (22/120)-1.3198000.015000
Trim. Skewness (23/120)-0.3042000.275800Trim. Kurtosis (23/120)-1.3182000.016800
Trim. Skewness (24/120)-0.3004000.284600Trim. Kurtosis (24/120)-1.3172000.018200
Trim. Skewness (25/120)-0.3030000.289200Trim. Kurtosis (25/120)-1.3048000.020800
Trim. Skewness (26/120)-0.3047000.293800Trim. Kurtosis (26/120)-1.2903000.024400
Trim. Skewness (27/120)-0.3044000.298400Trim. Kurtosis (27/120)-1.2814000.027200
Trim. Skewness (28/120)-0.3051000.307800Trim. Kurtosis (28/120)-1.2736000.030800
Trim. Skewness (29/120)-0.2996000.322200Trim. Kurtosis (29/120)-1.2752000.033200
Trim. Skewness (30/120)-0.2885000.347200Trim. Kurtosis (30/120)-1.2951000.033200
Trim. Skewness (31/120)-0.2917000.352400Trim. Kurtosis (31/120)-1.2917000.036600
Trim. Skewness (32/120)-0.2931000.357600Trim. Kurtosis (32/120)-1.2894000.039400
Trim. Skewness (33/120)-0.2975000.357600Trim. Kurtosis (33/120)-1.2775000.045600
Trim. Skewness (34/120)-0.3050000.352400Trim. Kurtosis (34/120)-1.2680000.050000
Trim. Skewness (35/120)-0.3046000.362800Trim. Kurtosis (35/120)-1.2730000.053600
Trim. Skewness (36/120)-0.3134000.357600Trim. Kurtosis (36/120)-1.2743000.058800
Trim. Skewness (37/120)-0.3204000.357600Trim. Kurtosis (37/120)-1.2816000.061400
Trim. Skewness (38/120)-0.3148000.373400Trim. Kurtosis (38/120)-1.3236000.058800
Trim. Skewness (39/120)-0.3448000.342200Trim. Kurtosis (39/120)-1.2918000.070200
Trim. Skewness (40/120)-0.3724000.317400Trim. Kurtosis (40/120)-1.2621000.083600

\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)-0.2244000.307800 & Trim. Kurtosis (0/120)-1.3657000.001800 \tabularnewline Trim. Skewness (1/120)-0.2325000.293800 & Trim. Kurtosis (1/120)-1.3765000.001800 \tabularnewline Trim. Skewness (2/120)-0.2446000.275800 & Trim. Kurtosis (2/120)-1.3818000.001800 \tabularnewline Trim. Skewness (3/120)-0.2561000.254200 & Trim. Kurtosis (3/120)-1.3852000.002000 \tabularnewline Trim. Skewness (4/120)-0.2629000.246000 & Trim. Kurtosis (4/120)-1.3857000.002200 \tabularnewline Trim. Skewness (5/120)-0.2712000.238000 & Trim. Kurtosis (5/120)-1.3871000.002400 \tabularnewline Trim. Skewness (6/120)-0.2800000.226200 & Trim. Kurtosis (6/120)-1.3881000.002600 \tabularnewline Trim. Skewness (7/120)-0.2877000.218600 & Trim. Kurtosis (7/120)-1.3871000.002800 \tabularnewline Trim. Skewness (8/120)-0.2956000.211200 & Trim. Kurtosis (8/120)-1.3852000.003000 \tabularnewline Trim. Skewness (9/120)-0.3011000.207600 & Trim. Kurtosis (9/120)-1.3800000.003600 \tabularnewline Trim. Skewness (10/120)-0.3064000.204000 & Trim. Kurtosis (10/120)-1.3773000.004000 \tabularnewline Trim. Skewness (11/120)-0.3104000.200600 & Trim. Kurtosis (11/120)-1.3725000.004400 \tabularnewline Trim. Skewness (12/120)-0.3126000.204000 & Trim. Kurtosis (12/120)-1.3699000.005000 \tabularnewline Trim. Skewness (13/120)-0.3147000.204000 & Trim. Kurtosis (13/120)-1.3624000.005600 \tabularnewline Trim. Skewness (14/120)-0.3164000.207600 & Trim. Kurtosis (14/120)-1.3534000.006600 \tabularnewline Trim. Skewness (15/120)-0.3172000.211200 & Trim. Kurtosis (15/120)-1.3469000.007400 \tabularnewline Trim. Skewness (16/120)-0.3174000.215000 & Trim. Kurtosis (16/120)-1.3393000.008200 \tabularnewline Trim. Skewness (17/120)-0.3162000.222400 & Trim. Kurtosis (17/120)-1.3354000.009400 \tabularnewline Trim. Skewness (18/120)-0.3155000.226200 & Trim. Kurtosis (18/120)-1.3317000.010200 \tabularnewline Trim. Skewness (19/120)-0.3112000.238000 & Trim. Kurtosis (19/120)-1.3330000.011000 \tabularnewline Trim. Skewness (20/120)-0.3095000.246000 & Trim. Kurtosis (20/120)-1.3303000.012000 \tabularnewline Trim. Skewness (21/120)-0.3065000.258400 & Trim. Kurtosis (21/120)-1.3275000.013600 \tabularnewline Trim. Skewness (22/120)-0.3064000.262800 & Trim. Kurtosis (22/120)-1.3198000.015000 \tabularnewline Trim. Skewness (23/120)-0.3042000.275800 & Trim. Kurtosis (23/120)-1.3182000.016800 \tabularnewline Trim. Skewness (24/120)-0.3004000.284600 & Trim. Kurtosis (24/120)-1.3172000.018200 \tabularnewline Trim. Skewness (25/120)-0.3030000.289200 & Trim. Kurtosis (25/120)-1.3048000.020800 \tabularnewline Trim. Skewness (26/120)-0.3047000.293800 & Trim. Kurtosis (26/120)-1.2903000.024400 \tabularnewline Trim. Skewness (27/120)-0.3044000.298400 & Trim. Kurtosis (27/120)-1.2814000.027200 \tabularnewline Trim. Skewness (28/120)-0.3051000.307800 & Trim. Kurtosis (28/120)-1.2736000.030800 \tabularnewline Trim. Skewness (29/120)-0.2996000.322200 & Trim. Kurtosis (29/120)-1.2752000.033200 \tabularnewline Trim. Skewness (30/120)-0.2885000.347200 & Trim. Kurtosis (30/120)-1.2951000.033200 \tabularnewline Trim. Skewness (31/120)-0.2917000.352400 & Trim. Kurtosis (31/120)-1.2917000.036600 \tabularnewline Trim. Skewness (32/120)-0.2931000.357600 & Trim. Kurtosis (32/120)-1.2894000.039400 \tabularnewline Trim. Skewness (33/120)-0.2975000.357600 & Trim. Kurtosis (33/120)-1.2775000.045600 \tabularnewline Trim. Skewness (34/120)-0.3050000.352400 & Trim. Kurtosis (34/120)-1.2680000.050000 \tabularnewline Trim. Skewness (35/120)-0.3046000.362800 & Trim. Kurtosis (35/120)-1.2730000.053600 \tabularnewline Trim. Skewness (36/120)-0.3134000.357600 & Trim. Kurtosis (36/120)-1.2743000.058800 \tabularnewline Trim. Skewness (37/120)-0.3204000.357600 & Trim. Kurtosis (37/120)-1.2816000.061400 \tabularnewline Trim. Skewness (38/120)-0.3148000.373400 & Trim. Kurtosis (38/120)-1.3236000.058800 \tabularnewline Trim. Skewness (39/120)-0.3448000.342200 & Trim. Kurtosis (39/120)-1.2918000.070200 \tabularnewline Trim. Skewness (40/120)-0.3724000.317400 & Trim. Kurtosis (40/120)-1.2621000.083600 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103746&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]-0.224400[/C]0.307800[/C][C]Trim. Kurtosis (0/120)[/C]-1.365700[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.232500[/C]0.293800[/C][C]Trim. Kurtosis (1/120)[/C]-1.376500[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.244600[/C]0.275800[/C][C]Trim. Kurtosis (2/120)[/C]-1.381800[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.256100[/C]0.254200[/C][C]Trim. Kurtosis (3/120)[/C]-1.385200[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.262900[/C]0.246000[/C][C]Trim. Kurtosis (4/120)[/C]-1.385700[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.271200[/C]0.238000[/C][C]Trim. Kurtosis (5/120)[/C]-1.387100[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.280000[/C]0.226200[/C][C]Trim. Kurtosis (6/120)[/C]-1.388100[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.287700[/C]0.218600[/C][C]Trim. Kurtosis (7/120)[/C]-1.387100[/C]0.002800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.295600[/C]0.211200[/C][C]Trim. Kurtosis (8/120)[/C]-1.385200[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.301100[/C]0.207600[/C][C]Trim. Kurtosis (9/120)[/C]-1.380000[/C]0.003600[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.306400[/C]0.204000[/C][C]Trim. Kurtosis (10/120)[/C]-1.377300[/C]0.004000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.310400[/C]0.200600[/C][C]Trim. Kurtosis (11/120)[/C]-1.372500[/C]0.004400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.312600[/C]0.204000[/C][C]Trim. Kurtosis (12/120)[/C]-1.369900[/C]0.005000[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.314700[/C]0.204000[/C][C]Trim. Kurtosis (13/120)[/C]-1.362400[/C]0.005600[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.316400[/C]0.207600[/C][C]Trim. Kurtosis (14/120)[/C]-1.353400[/C]0.006600[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.317200[/C]0.211200[/C][C]Trim. Kurtosis (15/120)[/C]-1.346900[/C]0.007400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.317400[/C]0.215000[/C][C]Trim. Kurtosis (16/120)[/C]-1.339300[/C]0.008200[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.316200[/C]0.222400[/C][C]Trim. Kurtosis (17/120)[/C]-1.335400[/C]0.009400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.315500[/C]0.226200[/C][C]Trim. Kurtosis (18/120)[/C]-1.331700[/C]0.010200[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.311200[/C]0.238000[/C][C]Trim. Kurtosis (19/120)[/C]-1.333000[/C]0.011000[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.309500[/C]0.246000[/C][C]Trim. Kurtosis (20/120)[/C]-1.330300[/C]0.012000[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.306500[/C]0.258400[/C][C]Trim. Kurtosis (21/120)[/C]-1.327500[/C]0.013600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.306400[/C]0.262800[/C][C]Trim. Kurtosis (22/120)[/C]-1.319800[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.304200[/C]0.275800[/C][C]Trim. Kurtosis (23/120)[/C]-1.318200[/C]0.016800[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.300400[/C]0.284600[/C][C]Trim. Kurtosis (24/120)[/C]-1.317200[/C]0.018200[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.303000[/C]0.289200[/C][C]Trim. Kurtosis (25/120)[/C]-1.304800[/C]0.020800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.304700[/C]0.293800[/C][C]Trim. Kurtosis (26/120)[/C]-1.290300[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.304400[/C]0.298400[/C][C]Trim. Kurtosis (27/120)[/C]-1.281400[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.305100[/C]0.307800[/C][C]Trim. Kurtosis (28/120)[/C]-1.273600[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.299600[/C]0.322200[/C][C]Trim. Kurtosis (29/120)[/C]-1.275200[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.288500[/C]0.347200[/C][C]Trim. Kurtosis (30/120)[/C]-1.295100[/C]0.033200[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.291700[/C]0.352400[/C][C]Trim. Kurtosis (31/120)[/C]-1.291700[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.293100[/C]0.357600[/C][C]Trim. Kurtosis (32/120)[/C]-1.289400[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.297500[/C]0.357600[/C][C]Trim. Kurtosis (33/120)[/C]-1.277500[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.305000[/C]0.352400[/C][C]Trim. Kurtosis (34/120)[/C]-1.268000[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.304600[/C]0.362800[/C][C]Trim. Kurtosis (35/120)[/C]-1.273000[/C]0.053600[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.313400[/C]0.357600[/C][C]Trim. Kurtosis (36/120)[/C]-1.274300[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.320400[/C]0.357600[/C][C]Trim. Kurtosis (37/120)[/C]-1.281600[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.314800[/C]0.373400[/C][C]Trim. Kurtosis (38/120)[/C]-1.323600[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.344800[/C]0.342200[/C][C]Trim. Kurtosis (39/120)[/C]-1.291800[/C]0.070200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.372400[/C]0.317400[/C][C]Trim. Kurtosis (40/120)[/C]-1.262100[/C]0.083600[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103746&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103746&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 (0/120)-0.2244000.307800Trim. Kurtosis (0/120)-1.3657000.001800
Trim. Skewness (1/120)-0.2325000.293800Trim. Kurtosis (1/120)-1.3765000.001800
Trim. Skewness (2/120)-0.2446000.275800Trim. Kurtosis (2/120)-1.3818000.001800
Trim. Skewness (3/120)-0.2561000.254200Trim. Kurtosis (3/120)-1.3852000.002000
Trim. Skewness (4/120)-0.2629000.246000Trim. Kurtosis (4/120)-1.3857000.002200
Trim. Skewness (5/120)-0.2712000.238000Trim. Kurtosis (5/120)-1.3871000.002400
Trim. Skewness (6/120)-0.2800000.226200Trim. Kurtosis (6/120)-1.3881000.002600
Trim. Skewness (7/120)-0.2877000.218600Trim. Kurtosis (7/120)-1.3871000.002800
Trim. Skewness (8/120)-0.2956000.211200Trim. Kurtosis (8/120)-1.3852000.003000
Trim. Skewness (9/120)-0.3011000.207600Trim. Kurtosis (9/120)-1.3800000.003600
Trim. Skewness (10/120)-0.3064000.204000Trim. Kurtosis (10/120)-1.3773000.004000
Trim. Skewness (11/120)-0.3104000.200600Trim. Kurtosis (11/120)-1.3725000.004400
Trim. Skewness (12/120)-0.3126000.204000Trim. Kurtosis (12/120)-1.3699000.005000
Trim. Skewness (13/120)-0.3147000.204000Trim. Kurtosis (13/120)-1.3624000.005600
Trim. Skewness (14/120)-0.3164000.207600Trim. Kurtosis (14/120)-1.3534000.006600
Trim. Skewness (15/120)-0.3172000.211200Trim. Kurtosis (15/120)-1.3469000.007400
Trim. Skewness (16/120)-0.3174000.215000Trim. Kurtosis (16/120)-1.3393000.008200
Trim. Skewness (17/120)-0.3162000.222400Trim. Kurtosis (17/120)-1.3354000.009400
Trim. Skewness (18/120)-0.3155000.226200Trim. Kurtosis (18/120)-1.3317000.010200
Trim. Skewness (19/120)-0.3112000.238000Trim. Kurtosis (19/120)-1.3330000.011000
Trim. Skewness (20/120)-0.3095000.246000Trim. Kurtosis (20/120)-1.3303000.012000
Trim. Skewness (21/120)-0.3065000.258400Trim. Kurtosis (21/120)-1.3275000.013600
Trim. Skewness (22/120)-0.3064000.262800Trim. Kurtosis (22/120)-1.3198000.015000
Trim. Skewness (23/120)-0.3042000.275800Trim. Kurtosis (23/120)-1.3182000.016800
Trim. Skewness (24/120)-0.3004000.284600Trim. Kurtosis (24/120)-1.3172000.018200
Trim. Skewness (25/120)-0.3030000.289200Trim. Kurtosis (25/120)-1.3048000.020800
Trim. Skewness (26/120)-0.3047000.293800Trim. Kurtosis (26/120)-1.2903000.024400
Trim. Skewness (27/120)-0.3044000.298400Trim. Kurtosis (27/120)-1.2814000.027200
Trim. Skewness (28/120)-0.3051000.307800Trim. Kurtosis (28/120)-1.2736000.030800
Trim. Skewness (29/120)-0.2996000.322200Trim. Kurtosis (29/120)-1.2752000.033200
Trim. Skewness (30/120)-0.2885000.347200Trim. Kurtosis (30/120)-1.2951000.033200
Trim. Skewness (31/120)-0.2917000.352400Trim. Kurtosis (31/120)-1.2917000.036600
Trim. Skewness (32/120)-0.2931000.357600Trim. Kurtosis (32/120)-1.2894000.039400
Trim. Skewness (33/120)-0.2975000.357600Trim. Kurtosis (33/120)-1.2775000.045600
Trim. Skewness (34/120)-0.3050000.352400Trim. Kurtosis (34/120)-1.2680000.050000
Trim. Skewness (35/120)-0.3046000.362800Trim. Kurtosis (35/120)-1.2730000.053600
Trim. Skewness (36/120)-0.3134000.357600Trim. Kurtosis (36/120)-1.2743000.058800
Trim. Skewness (37/120)-0.3204000.357600Trim. Kurtosis (37/120)-1.2816000.061400
Trim. Skewness (38/120)-0.3148000.373400Trim. Kurtosis (38/120)-1.3236000.058800
Trim. Skewness (39/120)-0.3448000.342200Trim. Kurtosis (39/120)-1.2918000.070200
Trim. Skewness (40/120)-0.3724000.317400Trim. Kurtosis (40/120)-1.2621000.083600


Figures (Output of Computation)

Input Parameters & R Code

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